From d515cd262abdf6a26a3228331d4e45edd922ff6c Mon Sep 17 00:00:00 2001 From: sthoumyre-ensae Date: Sun, 5 Apr 2026 15:52:42 +0000 Subject: [PATCH] global clustering --- .../clustering_global-checkpoint.ipynb | 1337 + .../analyse_rupture-checkpoint.ipynb | 4472 + .../asset_analysis-checkpoint.png | Bin 0 -> 656119 bytes ...ctivity_concentration_top10-checkpoint.png | Bin 0 -> 85821 bytes .../clus11mars-Copy1 (5)-checkpoint.ipynb | 6776 ++ .../detected_code_changes-checkpoint.csv | 6503 ++ .../isin_flows_only-checkpoint.csv | 1 + .../isin_full-checkpoint.csv | 408 + .../isin_missing_nav-checkpoint.csv | 77 + .../isin_stocks_only-checkpoint.csv | 18 + .../repair-checkpoint.ipynb | 2987 + .../rupture_isin_summary-checkpoint.csv | 79738 ++++++++++++++++ brouillon/analyse_rupture.ipynb | 4472 + brouillon/asset_analysis.png | Bin 0 -> 656119 bytes ...m_vs_flow_activity_concentration_top10.png | Bin 0 -> 85821 bytes brouillon/clus11mars-Copy1 (5).ipynb | 5501 ++ brouillon/data_challenge_score_timeline.csv | 131 + brouillon/dc_account_level_summary.csv | 9 + brouillon/dc_code_changes.csv | 70 + brouillon/dc_code_sequence_strings.csv | 9 + brouillon/dc_path_sequences.csv | 78 + brouillon/dc_paths_raw.csv | 1041 + brouillon/dc_score_timeline.csv | 131 + brouillon/dc_selected_accounts_2025_10_31.csv | 9 + brouillon/detected_code_changes.csv | 6503 ++ brouillon/detected_code_changes_fast.csv | 2727 + brouillon/detected_code_switches.csv | 1 + brouillon/heatmap_clusters_k5.png | Bin 0 -> 144757 bytes brouillon/isin_flows_only.csv | 1 + brouillon/isin_full.csv | 408 + brouillon/isin_missing_nav.csv | 77 + brouillon/isin_stocks_only.csv | 18 + brouillon/repair.ipynb | 4321 + brouillon/rupture_isin_summary.csv | 68941 +++++++++++++ brouillon/rupture_summary.csv | 12502 +++ clustering_global.ipynb | 2064 + 36 files changed, 211331 insertions(+) create mode 100644 .ipynb_checkpoints/clustering_global-checkpoint.ipynb create mode 100644 brouillon/.ipynb_checkpoints/analyse_rupture-checkpoint.ipynb create mode 100644 brouillon/.ipynb_checkpoints/asset_analysis-checkpoint.png create mode 100644 brouillon/.ipynb_checkpoints/aum_vs_flow_activity_concentration_top10-checkpoint.png create mode 100644 brouillon/.ipynb_checkpoints/clus11mars-Copy1 (5)-checkpoint.ipynb create mode 100644 brouillon/.ipynb_checkpoints/detected_code_changes-checkpoint.csv create mode 100644 brouillon/.ipynb_checkpoints/isin_flows_only-checkpoint.csv create mode 100644 brouillon/.ipynb_checkpoints/isin_full-checkpoint.csv create mode 100644 brouillon/.ipynb_checkpoints/isin_missing_nav-checkpoint.csv create mode 100644 brouillon/.ipynb_checkpoints/isin_stocks_only-checkpoint.csv create mode 100644 brouillon/.ipynb_checkpoints/repair-checkpoint.ipynb create mode 100644 brouillon/.ipynb_checkpoints/rupture_isin_summary-checkpoint.csv create mode 100644 brouillon/analyse_rupture.ipynb create mode 100644 brouillon/asset_analysis.png create mode 100644 brouillon/aum_vs_flow_activity_concentration_top10.png create mode 100644 brouillon/clus11mars-Copy1 (5).ipynb create mode 100644 brouillon/data_challenge_score_timeline.csv create mode 100644 brouillon/dc_account_level_summary.csv create mode 100644 brouillon/dc_code_changes.csv create mode 100644 brouillon/dc_code_sequence_strings.csv create mode 100644 brouillon/dc_path_sequences.csv create mode 100644 brouillon/dc_paths_raw.csv create mode 100644 brouillon/dc_score_timeline.csv create mode 100644 brouillon/dc_selected_accounts_2025_10_31.csv create mode 100644 brouillon/detected_code_changes.csv create mode 100644 brouillon/detected_code_changes_fast.csv create mode 100644 brouillon/detected_code_switches.csv create mode 100644 brouillon/heatmap_clusters_k5.png create mode 100644 brouillon/isin_flows_only.csv create mode 100644 brouillon/isin_full.csv create mode 100644 brouillon/isin_missing_nav.csv create mode 100644 brouillon/isin_stocks_only.csv create mode 100644 brouillon/repair.ipynb create mode 100644 brouillon/rupture_isin_summary.csv create mode 100644 brouillon/rupture_summary.csv create mode 100644 clustering_global.ipynb diff --git a/.ipynb_checkpoints/clustering_global-checkpoint.ipynb b/.ipynb_checkpoints/clustering_global-checkpoint.ipynb new file mode 100644 index 0000000..592ff81 --- /dev/null +++ b/.ipynb_checkpoints/clustering_global-checkpoint.ipynb @@ -0,0 +1,1337 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "f6ea29f1", + "metadata": {}, + "source": [ + "# Global Clustering \n", + "\n", + "**Sections:**\n", + "1. Imports & Data Loading\n", + "2. Monthly Panel Construction\n", + "3. Feature Engineering (base + enriched)\n", + "4. Global Clustering (all active accounts)" + ] + }, + { + "cell_type": "markdown", + "id": "e727f666", + "metadata": {}, + "source": [ + "## 0. Imports & Data Loading" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "id": "9314f229-0b5d-4a4c-846c-869847d32c73", + "metadata": {}, + "outputs": [], + "source": [ + "import os\n", + "import s3fs\n", + "os.environ[\"AWS_ACCESS_KEY_ID\"] = 'UMMV3Z72A70MCCSRV17O'\n", + "os.environ[\"AWS_SECRET_ACCESS_KEY\"] = 'wBFxaez78UPNW3BtchZOf4f238ZNXKnCexeGufaa'\n", + "os.environ[\"AWS_SESSION_TOKEN\"] = 'eyJhbGciOiJIUzUxMiIsInR5cCI6IkpXVCJ9.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.rffoTJijRiGK2DCDhXj5y8R31DRH1LWkTwuH_1lvU9qN_xJSTmBIM4uGR_zp7XpMnq_ePwVhlkoWN15cNUgjMA'\n", + "os.environ[\"AWS_DEFAULT_REGION\"] = 'us-east-1'\n", + "fs = s3fs.S3FileSystem(\n", + " client_kwargs={'endpoint_url': 'https://'+'minio-simple.lab.groupe-genes.fr'},\n", + " key = os.environ[\"AWS_ACCESS_KEY_ID\"], \n", + " secret = os.environ[\"AWS_SECRET_ACCESS_KEY\"], \n", + " token = os.environ[\"AWS_SESSION_TOKEN\"])" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "61e33897", + "metadata": {}, + "outputs": [], + "source": [ + "import warnings\n", + "warnings.filterwarnings(\"ignore\")\n", + "\n", + "import numpy as np\n", + "import pandas as pd\n", + "import matplotlib.pyplot as plt\n", + "import seaborn as sns\n", + "\n", + "from sklearn.preprocessing import RobustScaler\n", + "from sklearn.cluster import KMeans\n", + "from sklearn.metrics import silhouette_score, davies_bouldin_score, pairwise_distances\n", + "from sklearn.linear_model import LinearRegression\n", + "\n", + "sns.set_style(\"whitegrid\")\n", + "pd.set_option(\"display.max_columns\", 100)\n", + "\n", + "EPS = 1e-9\n", + "RANDOM_STATE = 42\n", + "\n", + "# Column names\n", + "ID_COL = \"Registrar Account - ID\"\n", + "ISIN_COL = \"Product - Isin\"\n", + "FUND_COL = \"Product - Fund\"\n", + "ASSET_COL = \"Product - Asset Type\"\n", + "FLOW_DATE_COL = \"Centralisation Date\"\n", + "AUM_DATE_COL = \"Centralisation Date\"\n", + "FLOW_QTY_COL = \"Quantity - NetFlows\"\n", + "FLOW_SUB_COL = \"Quantity - Subscription\"\n", + "FLOW_RED_COL = \"Quantity - Redemption\"\n", + "AUM_QTY_COL = \"Quantity - AUM\"\n", + "AUM_VAL_COL = \"Value - AUM €\"\n", + "REGION_COL = \"Registrar Account - Region\"\n", + "COUNTRY_COL = \"RegistrarAccount - Country\"\n", + "NAV_DATE_COL = \"Dat\"\n", + "NAV_ISIN_COL = \"Isin\"\n", + "NAV_PRICE_COL = \"Price (TF PartPrice)\"\n", + "NAV_BENCH_COL = \"PriceBench\"\n", + "RATE_DATE_COL = \"Date\"\n", + "RATE_VAL_COL = \"Yld to Maturity\"\n", + "\n", + "#external data projet-bdc-data /carmignac /Data Modélisation /Nav\n", + "PATH_NAV = \"s3://projet-bdc-data/carmignac/Data Modélisation/Nav/NAV_Bench_data.csv\" #C’est la table de valorisation / performance du produit.\n", + "PATH_RATES = \"s3://projet-bdc-data/carmignac/Data Modélisation/market data/esterRates.csv\"\n", + "\n", + "# optional competitors\n", + "PATH_COMP_FLOWS = \"s3://projet-bdc-data/carmignac/Data Modélisation/competitors/daily_estimated_flows.csv\"\n", + "PATH_COMP_PERF = \"s3://projet-bdc-data/carmignac/Data Modélisation/competitors/weekly_perf_full.csv\"\n", + "PATH_PEERS = \"s3://projet-bdc-carmignac-g3/peers/CAD_peers.csv\"" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "eb3b2908", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "flows: (2574461, 26)\n", + "aum: (4880297, 19)\n", + "nav: (623914, 6)\n" + ] + } + ], + "source": [ + "df_flows = pd.read_csv(\"flows.csv\", low_memory=False)\n", + "df_aum = df_aum = pd.read_csv(\"s3://projet-bdc-carmignac-g3/paco/AUM_repaired.csv\", low_memory=False)\n", + "df_nav = pd.read_csv(PATH_NAV, sep=\";\")\n", + "df_rates = pd.read_csv(PATH_RATES, sep=\";\")\n", + "\n", + "# Date parsing\n", + "for df, col in [\n", + " (df_flows, FLOW_DATE_COL), (df_aum, AUM_DATE_COL),\n", + " (df_nav, NAV_DATE_COL), (df_rates, RATE_DATE_COL)\n", + "]:\n", + " df[col] = pd.to_datetime(df[col], errors=\"coerce\")\n", + "\n", + "# Month column\n", + "for df, col in [(df_flows, FLOW_DATE_COL), (df_aum, AUM_DATE_COL),\n", + " (df_nav, NAV_DATE_COL), (df_rates, RATE_DATE_COL)]:\n", + " df[\"month\"] = df[col].dt.to_period(\"M\").dt.to_timestamp()\n", + "\n", + "# Numeric coercion\n", + "for col in [FLOW_QTY_COL, FLOW_SUB_COL, FLOW_RED_COL]:\n", + " df_flows[col] = pd.to_numeric(df_flows[col], errors=\"coerce\")\n", + "for col in [AUM_QTY_COL, AUM_VAL_COL]:\n", + " df_aum[col] = pd.to_numeric(df_aum[col], errors=\"coerce\")\n", + "for col in [NAV_PRICE_COL, NAV_BENCH_COL]:\n", + " df_nav[col] = pd.to_numeric(df_nav[col], errors=\"coerce\")\n", + "df_rates[RATE_VAL_COL] = pd.to_numeric(df_rates[RATE_VAL_COL], errors=\"coerce\")\n", + "\n", + "# ISIN as string\n", + "for df in [df_flows, df_aum]:\n", + " df[ISIN_COL] = df[ISIN_COL].astype(str).str.strip()\n", + "df_nav[NAV_ISIN_COL] = df_nav[NAV_ISIN_COL].astype(str).str.strip()\n", + "\n", + "print(\"flows:\", df_flows.shape)\n", + "print(\"aum: \", df_aum.shape)\n", + "print(\"nav: \", df_nav.shape)" + ] + }, + { + "cell_type": "markdown", + "id": "5929db69", + "metadata": {}, + "source": [ + "## 1. Monthly Panel Construction\n", + "\n", + "Build a full outer join of AUM and flows at (account, ISIN, month) granularity,\n", + "then enrich with NAV performance and macro rates." + ] + }, + { + "cell_type": "code", + "execution_count": 73, + "id": "d36d0a70", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Panel shape: (4791501, 20)\n" + ] + } + ], + "source": [ + "# --- Flows aggregated to monthly ---\n", + "df_flows_m = (\n", + " df_flows\n", + " .dropna(subset=[ID_COL, ISIN_COL, \"month\"])\n", + " .assign(\n", + " gross_flow_qty = lambda x: x[FLOW_QTY_COL].abs(),\n", + " sub_qty = lambda x: x[FLOW_SUB_COL].fillna(0),\n", + " red_qty = lambda x: x[FLOW_RED_COL].fillna(0)\n", + " )\n", + " .groupby([ID_COL, ISIN_COL, \"month\"], as_index=False)\n", + " .agg(\n", + " net_flow_qty = (FLOW_QTY_COL, \"sum\"),\n", + " gross_flow_qty = (\"gross_flow_qty\", \"sum\"),\n", + " sub_qty = (\"sub_qty\", \"sum\"),\n", + " red_qty = (\"red_qty\", \"sum\"),\n", + " n_tx = (FLOW_QTY_COL, \"size\"),\n", + " region = (REGION_COL, \"last\"),\n", + " country = (COUNTRY_COL, \"last\")\n", + " )\n", + ")\n", + "\n", + "# --- AUM aggregated to monthly ---\n", + "df_aum_m = (\n", + " df_aum\n", + " .dropna(subset=[ID_COL, ISIN_COL, \"month\"])\n", + " .groupby([ID_COL, ISIN_COL, \"month\"], as_index=False)\n", + " .agg(\n", + " aum_qty = (AUM_QTY_COL, \"sum\"),\n", + " aum_val = (AUM_VAL_COL, \"sum\"),\n", + " fund = (FUND_COL, \"last\"),\n", + " asset_type = (ASSET_COL, \"last\"),\n", + " region = (REGION_COL, \"last\"),\n", + " country = (COUNTRY_COL, \"last\")\n", + " )\n", + ")\n", + "\n", + "# --- Full outer join ---\n", + "keys = pd.concat([\n", + " df_flows_m[[ID_COL, ISIN_COL, \"month\"]],\n", + " df_aum_m[[ID_COL, ISIN_COL, \"month\"]]\n", + "]).drop_duplicates()\n", + "\n", + "df_rel_m = (\n", + " keys\n", + " .merge(df_aum_m, on=[ID_COL, ISIN_COL, \"month\"], how=\"left\")\n", + " .merge(df_flows_m, on=[ID_COL, ISIN_COL, \"month\"], how=\"left\", suffixes=(\"\", \"_flow\"))\n", + ")\n", + "\n", + "for c in [\"aum_qty\",\"aum_val\",\"net_flow_qty\",\"gross_flow_qty\",\"sub_qty\",\"red_qty\",\"n_tx\"]:\n", + " df_rel_m[c] = df_rel_m[c].fillna(0)\n", + "\n", + "df_rel_m[\"region\"] = df_rel_m[\"region\"].fillna(df_rel_m.get(\"region_flow\"))\n", + "df_rel_m[\"country\"] = df_rel_m[\"country\"].fillna(df_rel_m.get(\"country_flow\"))\n", + "\n", + "# --- Active / holding flags ---\n", + "df_rel_m[\"active_rel_month\"] = (df_rel_m[\"gross_flow_qty\"] > 0).astype(int)\n", + "df_rel_m[\"holding_rel_month\"] = (df_rel_m[\"aum_qty\"] > 0).astype(int)\n", + "df_rel_m[\"flow_to_aum_rel\"] = df_rel_m[\"net_flow_qty\"] / (df_rel_m[\"aum_qty\"].abs() + EPS)\n", + "df_rel_m[\"turnover_rel\"] = df_rel_m[\"gross_flow_qty\"] / (df_rel_m[\"aum_qty\"].abs() + EPS)\n", + "\n", + "print(\"Panel shape:\", df_rel_m.shape)" + ] + }, + { + "cell_type": "code", + "execution_count": 74, + "id": "965d2564", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Enriched panel shape: (4791501, 24)\n" + ] + } + ], + "source": [ + "# --- NAV & benchmark returns ---\n", + "df_nav_m = (\n", + " df_nav\n", + " .dropna(subset=[NAV_ISIN_COL, \"month\", NAV_PRICE_COL])\n", + " .sort_values([NAV_ISIN_COL, \"month\"])\n", + " .groupby([NAV_ISIN_COL, \"month\"], as_index=False)\n", + " .tail(1).copy()\n", + ")\n", + "df_nav_m[\"ret_fund_m\"] = df_nav_m.groupby(NAV_ISIN_COL)[NAV_PRICE_COL].pct_change()\n", + "df_nav_m[\"ret_bench_m\"] = df_nav_m.groupby(NAV_ISIN_COL)[NAV_BENCH_COL].pct_change()\n", + "df_nav_m[\"active_return_m\"] = df_nav_m[\"ret_fund_m\"] - df_nav_m[\"ret_bench_m\"]\n", + "df_nav_m = df_nav_m.rename(columns={NAV_ISIN_COL: ISIN_COL})[\n", + " [ISIN_COL, \"month\", \"ret_fund_m\", \"ret_bench_m\", \"active_return_m\"]\n", + "]\n", + "\n", + "# --- Interest rates ---\n", + "df_rates_m = (\n", + " df_rates\n", + " .dropna(subset=[\"month\", RATE_VAL_COL])\n", + " .sort_values(RATE_DATE_COL)\n", + " .groupby(\"month\", as_index=False).tail(1).copy()\n", + ")\n", + "df_rates_m[\"delta_rate_m\"] = df_rates_m[RATE_VAL_COL].diff()\n", + "df_rates_m = df_rates_m[[\"month\", RATE_VAL_COL, \"delta_rate_m\"]]\n", + "\n", + "# --- Merge into panel ---\n", + "df_rel_m = df_rel_m.merge(df_nav_m, on=[ISIN_COL, \"month\"], how=\"left\")\n", + "df_rel_m = df_rel_m.merge(df_rates_m[[\"month\",\"delta_rate_m\"]], on=\"month\", how=\"left\")\n", + "\n", + "for c in [\"ret_fund_m\",\"ret_bench_m\",\"active_return_m\",\"delta_rate_m\"]:\n", + " df_rel_m[c] = df_rel_m[c].fillna(0)\n", + "\n", + "print(\"Enriched panel shape:\", df_rel_m.shape)" + ] + }, + { + "cell_type": "markdown", + "id": "1ef7bba8", + "metadata": {}, + "source": [ + "## 2. Feature Engineering\n", + "\n", + "### 2a. Monthly account-level aggregation\n", + "### 2b. ISIN-level features (where / when investors put their money)\n", + "### 2c. Asset type & fund composition features\n", + "### 2d. Rolling metrics (1M / 3M / 6M)\n", + "### 2e. Behavioural features (entry/exit, momentum, rate sensitivity)\n", + "### 2f. Trend & beta features" + ] + }, + { + "cell_type": "code", + "execution_count": 168, + "id": "db5a297c-78ea-4048-98f8-624612fbb60d", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "df_month shape: (931333, 21)\n", + "ISIN-level client features: (12584, 12)\n", + "Asset shares: (7475, 6)\n", + "Fund shares: (6562, 11)\n", + "Rolling features: (12584, 3)\n", + "df_client shape: (12584, 46)\n", + "After outlier removal: 7179 accounts\n", + "dfc shape: (7179, 60)\n", + "gross_flow_to_aum: min=0.0000, max=270698.4708, nan=336, inf=0\n", + "flow_direction_balance: min=-1.0000, max=1.0000, nan=1069, inf=0\n", + "sub_share_mean: min=-0.0985, max=77.5673, nan=1069, inf=0\n", + "redemption_bias: min=-154.1345, max=0.0828, nan=1069, inf=0\n", + "entry_rate_per_isin: min=0.0217, max=5.0000, nan=0, inf=0\n", + "aum_final_to_peak: min=-2.4841, max=1.0000, nan=0, inf=0\n", + "flow_roll3m_norm: min=-4935000000000.0000, max=1400000000000.0000, nan=0, inf=0\n", + "flow_roll6m_norm: min=-8699999999999.9990, max=322428000000.0000, nan=0, inf=0\n" + ] + } + ], + "source": [ + "# ============================================================\n", + "# 2a. Monthly account-level panel\n", + "# ============================================================\n", + "tmp = df_rel_m.copy()\n", + "tmp[\"isin_held_flag\"] = (tmp[\"aum_qty\"] > 0).astype(int)\n", + "tmp[\"isin_active_flag\"] = (tmp[\"gross_flow_qty\"] > 0).astype(int)\n", + "\n", + "df_month = (\n", + " tmp.groupby([ID_COL, \"month\"], as_index=False)\n", + " .agg(\n", + " aum_qty = (\"aum_qty\", \"sum\"),\n", + " aum_val = (\"aum_val\", \"sum\"),\n", + " net_flow_qty = (\"net_flow_qty\", \"sum\"),\n", + " gross_flow_qty = (\"gross_flow_qty\", \"sum\"),\n", + " sub_qty = (\"sub_qty\", \"sum\"),\n", + " red_qty = (\"red_qty\", \"sum\"),\n", + " n_tx = (\"n_tx\", \"sum\"),\n", + " n_isin_held = (\"isin_held_flag\", \"sum\"),\n", + " n_isin_active = (\"isin_active_flag\",\"sum\"),\n", + " delta_rate_m = (\"delta_rate_m\", \"first\"),\n", + " region = (\"region\", \"first\"),\n", + " country = (\"country\", \"first\"),\n", + " )\n", + " .sort_values([ID_COL, \"month\"])\n", + " .reset_index(drop=True)\n", + ")\n", + "\n", + "df_month[\"active_month\"] = (df_month[\"gross_flow_qty\"] > 0).astype(int)\n", + "\n", + "df_month[\"flow_to_aum_m\"] = np.where(\n", + " df_month[\"aum_qty\"].abs() > 0,\n", + " df_month[\"net_flow_qty\"] / df_month[\"aum_qty\"].abs(),\n", + " np.nan\n", + ")\n", + "df_month[\"turnover_m\"] = np.where(\n", + " df_month[\"aum_qty\"].abs() > 0,\n", + " df_month[\"gross_flow_qty\"] / df_month[\"aum_qty\"].abs(),\n", + " np.nan\n", + ")\n", + "df_month[\"sub_share_m\"] = np.where(\n", + " df_month[\"gross_flow_qty\"] > 0,\n", + " df_month[\"sub_qty\"] / df_month[\"gross_flow_qty\"],\n", + " np.nan\n", + ")\n", + "df_month[\"red_share_m\"] = np.where(\n", + " df_month[\"gross_flow_qty\"] > 0,\n", + " df_month[\"red_qty\"] / df_month[\"gross_flow_qty\"],\n", + " np.nan\n", + ")\n", + "df_month[\"aum_peak_to_date\"] = df_month.groupby(ID_COL)[\"aum_qty\"].cummax()\n", + "df_month[\"aum_drawdown\"] = np.where(\n", + " df_month[\"aum_peak_to_date\"] > 0,\n", + " 1 - df_month[\"aum_qty\"] / df_month[\"aum_peak_to_date\"],\n", + " np.nan\n", + ")\n", + "\n", + "print(\"df_month shape:\", df_month.shape)\n", + "\n", + "# ============================================================\n", + "# 2b. ISIN-level features\n", + "# ============================================================\n", + "tmp = df_rel_m.sort_values([ID_COL, ISIN_COL, \"month\"]).copy()\n", + "tmp[\"prev_aum\"] = tmp.groupby([ID_COL, ISIN_COL])[\"aum_qty\"].shift(1)\n", + "tmp[\"entry_event\"] = ((tmp[\"prev_aum\"].fillna(0) <= 0) & (tmp[\"aum_qty\"] > 0)).astype(int)\n", + "tmp[\"full_exit_event\"] = ((tmp[\"prev_aum\"] > 0) & (tmp[\"aum_qty\"] <= 0)).astype(int)\n", + "\n", + "# Lag de 1 mois pour la réaction à la performance (causalité correcte)\n", + "tmp[\"ret_fund_m_lag1\"] = tmp.groupby([ID_COL, ISIN_COL])[\"ret_fund_m\"].shift(1)\n", + "tmp[\"buy_on_perf\"] = ((tmp[\"net_flow_qty\"] > 0) & (tmp[\"ret_fund_m_lag1\"] > 0)).astype(int)\n", + "tmp[\"sell_on_perf\"] = ((tmp[\"net_flow_qty\"] < 0) & (tmp[\"ret_fund_m_lag1\"] < 0)).astype(int)\n", + "\n", + "df_rel_feat = (\n", + " tmp.groupby([ID_COL, ISIN_COL], as_index=False)\n", + " .agg(\n", + " rel_n_months = (\"month\", \"nunique\"),\n", + " rel_active_months = (\"active_rel_month\", \"sum\"),\n", + " rel_holding_months = (\"holding_rel_month\", \"sum\"),\n", + " rel_aum_mean = (\"aum_qty\", \"mean\"),\n", + " rel_turnover_mean = (\"turnover_rel\", \"mean\"),\n", + " rel_turnover_vol = (\"turnover_rel\", \"std\"),\n", + " rel_flow_to_aum_vol = (\"flow_to_aum_rel\", \"std\"),\n", + " rel_n_tx = (\"n_tx\", \"sum\"),\n", + " rel_full_exit_count = (\"full_exit_event\", \"sum\"),\n", + " rel_entry_count = (\"entry_event\", \"sum\"),\n", + " buy_on_perf_rate = (\"buy_on_perf\", \"mean\"),\n", + " sell_on_perf_rate = (\"sell_on_perf\", \"mean\"),\n", + " )\n", + ")\n", + "\n", + "isin_aum = df_rel_feat.groupby(ID_COL)[\"rel_aum_mean\"].transform(\"sum\")\n", + "df_rel_feat[\"isin_weight\"] = np.where(\n", + " isin_aum > 0,\n", + " df_rel_feat[\"rel_aum_mean\"] / isin_aum,\n", + " np.nan\n", + ")\n", + "hhi_isin = (\n", + " df_rel_feat.groupby(ID_COL)[\"isin_weight\"]\n", + " .apply(lambda w: np.sum(w**2))\n", + " .reset_index(name=\"hhi_isin\")\n", + ")\n", + "\n", + "df_rel_client = (\n", + " df_rel_feat.groupby(ID_COL, as_index=False)\n", + " .agg(\n", + " n_isin_total = (ISIN_COL, \"nunique\"),\n", + " rel_turnover_mean_avg = (\"rel_turnover_mean\", \"mean\"),\n", + " rel_turnover_vol_avg = (\"rel_turnover_vol\", \"mean\"),\n", + " rel_flow_to_aum_vol_avg = (\"rel_flow_to_aum_vol\",\"mean\"),\n", + " full_exit_count = (\"rel_full_exit_count\",\"sum\"),\n", + " entry_count = (\"rel_entry_count\", \"sum\"),\n", + " avg_holding_months_per_isin = (\"rel_holding_months\", \"mean\"),\n", + " max_holding_months_per_isin = (\"rel_holding_months\", \"max\"),\n", + " buy_on_perf_rate_avg = (\"buy_on_perf_rate\", \"mean\"),\n", + " sell_on_perf_rate_avg = (\"sell_on_perf_rate\", \"mean\"),\n", + " )\n", + " .merge(hhi_isin, on=ID_COL, how=\"left\")\n", + ")\n", + "\n", + "print(\"ISIN-level client features:\", df_rel_client.shape)\n", + "\n", + "# ============================================================\n", + "# 2c. Asset type & fund composition features\n", + "# ============================================================\n", + "aum_by_asset = (\n", + " df_aum.dropna(subset=[ID_COL, ASSET_COL])\n", + " .groupby([ID_COL, ASSET_COL], as_index=False)[AUM_VAL_COL].sum()\n", + ")\n", + "total_aum_acc = aum_by_asset.groupby(ID_COL)[AUM_VAL_COL].sum().rename(\"total_aum\")\n", + "aum_by_asset = aum_by_asset.merge(total_aum_acc, on=ID_COL)\n", + "aum_by_asset[\"share\"] = np.where(\n", + " aum_by_asset[\"total_aum\"] > 0,\n", + " aum_by_asset[AUM_VAL_COL] / aum_by_asset[\"total_aum\"],\n", + " np.nan\n", + ")\n", + "asset_shares = (\n", + " aum_by_asset.pivot_table(index=ID_COL, columns=ASSET_COL, values=\"share\", aggfunc=\"mean\")\n", + " .fillna(0).reset_index()\n", + ")\n", + "asset_shares.columns = [ID_COL] + [\n", + " f\"share_asset_{c.lower().replace(' ','_')}\" for c in asset_shares.columns[1:]\n", + "]\n", + "\n", + "aum_by_fund = (\n", + " df_aum.dropna(subset=[ID_COL, FUND_COL])\n", + " .groupby([ID_COL, FUND_COL], as_index=False)[AUM_VAL_COL].sum()\n", + ")\n", + "aum_by_fund = aum_by_fund.merge(total_aum_acc, on=ID_COL)\n", + "aum_by_fund[\"share\"] = np.where(\n", + " aum_by_fund[\"total_aum\"] > 0,\n", + " aum_by_fund[AUM_VAL_COL] / aum_by_fund[\"total_aum\"],\n", + " np.nan\n", + ")\n", + "top_funds = aum_by_fund.groupby(FUND_COL)[AUM_VAL_COL].sum().nlargest(10).index\n", + "fund_shares = (\n", + " aum_by_fund[aum_by_fund[FUND_COL].isin(top_funds)]\n", + " .pivot_table(index=ID_COL, columns=FUND_COL, values=\"share\", aggfunc=\"mean\")\n", + " .fillna(0).reset_index()\n", + ")\n", + "fund_shares.columns = [ID_COL] + [\n", + " f\"share_fund_{c.lower().replace(' ','_')[:30]}\" for c in fund_shares.columns[1:]\n", + "]\n", + "\n", + "print(\"Asset shares:\", asset_shares.shape)\n", + "print(\"Fund shares: \", fund_shares.shape)\n", + "\n", + "# ============================================================\n", + "# 2d. Rolling metrics — supprimées car trop sparse (80-90% zéros)\n", + "# On garde uniquement flow_roll3m et flow_roll6m comme signaux\n", + "# de tendance récente, normalisés par l'AUM\n", + "# ============================================================\n", + "df_month_s = df_month.sort_values([ID_COL, \"month\"]).copy()\n", + "\n", + "for w in [3, 6]:\n", + " df_month_s[f\"flow_roll{w}m_norm\"] = (\n", + " df_month_s.groupby(ID_COL)\n", + " .apply(lambda g: (\n", + " g[\"net_flow_qty\"].rolling(w, min_periods=1).sum() /\n", + " (g[\"aum_qty\"].abs().rolling(w, min_periods=1).mean() + EPS)\n", + " ))\n", + " .reset_index(level=0, drop=True)\n", + " )\n", + "\n", + "rolling_feats = (\n", + " df_month_s.groupby(ID_COL, as_index=False)\n", + " .last()[[ID_COL, \"flow_roll3m_norm\", \"flow_roll6m_norm\"]]\n", + ")\n", + "\n", + "print(\"Rolling features:\", rolling_feats.shape)\n", + "\n", + "# ============================================================\n", + "# 2e. Static client features\n", + "# ============================================================\n", + "df_client = (\n", + " df_month.groupby(ID_COL, as_index=False)\n", + " .agg(\n", + " n_months = (\"month\", \"nunique\"),\n", + " n_active_months = (\"active_month\", \"sum\"),\n", + " flow_freq = (\"active_month\", \"mean\"),\n", + " aum_qty_mean = (\"aum_qty\", \"mean\"),\n", + " aum_qty_median = (\"aum_qty\", \"median\"),\n", + " aum_qty_max = (\"aum_qty\", \"max\"),\n", + " aum_qty_last = (\"aum_qty\", \"last\"),\n", + " net_flow_qty_sum = (\"net_flow_qty\", \"sum\"),\n", + " gross_flow_qty_sum = (\"gross_flow_qty\", \"sum\"),\n", + " sub_qty_sum = (\"sub_qty\", \"sum\"),\n", + " red_qty_sum = (\"red_qty\", \"sum\"),\n", + " n_tx_total = (\"n_tx\", \"sum\"),\n", + " avg_n_isin_held = (\"n_isin_held\", \"mean\"),\n", + " max_n_isin_held = (\"n_isin_held\", \"max\"),\n", + " aum_drawdown_last = (\"aum_drawdown\", \"last\"),\n", + " region = (\"region\", \"last\"),\n", + " country = (\"country\", \"last\"),\n", + " )\n", + ")\n", + "\n", + "df_client = (\n", + " df_client\n", + " .merge(df_rel_client, on=ID_COL, how=\"left\")\n", + " .merge(asset_shares, on=ID_COL, how=\"left\")\n", + " .merge(fund_shares, on=ID_COL, how=\"left\")\n", + " .merge(rolling_feats, on=ID_COL, how=\"left\")\n", + ")\n", + "\n", + "print(\"df_client shape:\", df_client.shape)\n", + "\n", + "# ============================================================\n", + "# 2f. Engineered ratios + filtres\n", + "# ============================================================\n", + "dfc = df_client.copy()\n", + "\n", + "dfc[\"log_aum_qty_mean\"] = np.log1p(dfc[\"aum_qty_mean\"].clip(lower=0))\n", + "\n", + "dfc[\"gross_flow_to_aum\"] = np.where(\n", + " dfc[\"aum_qty_mean\"] > 1,\n", + " dfc[\"gross_flow_qty_sum\"] / dfc[\"aum_qty_mean\"],\n", + " np.nan\n", + ")\n", + "dfc[\"flow_direction_balance\"] = np.where(\n", + " dfc[\"gross_flow_qty_sum\"] > 0,\n", + " dfc[\"net_flow_qty_sum\"] / dfc[\"gross_flow_qty_sum\"],\n", + " np.nan\n", + ")\n", + "dfc[\"sub_share_mean\"] = np.where(\n", + " dfc[\"gross_flow_qty_sum\"] > 0,\n", + " dfc[\"sub_qty_sum\"] / dfc[\"gross_flow_qty_sum\"],\n", + " np.nan\n", + ")\n", + "dfc[\"redemption_bias\"] = np.where(\n", + " dfc[\"gross_flow_qty_sum\"] > 0,\n", + " (dfc[\"red_qty_sum\"] - dfc[\"sub_qty_sum\"]) / dfc[\"gross_flow_qty_sum\"],\n", + " np.nan\n", + ")\n", + "dfc[\"activity_intensity\"] = np.where(\n", + " dfc[\"n_months\"] > 0,\n", + " dfc[\"n_tx_total\"] / dfc[\"n_months\"],\n", + " np.nan\n", + ")\n", + "dfc[\"exit_rate_per_isin\"] = np.where(\n", + " dfc[\"n_isin_total\"] > 0,\n", + " dfc[\"full_exit_count\"] / dfc[\"n_isin_total\"],\n", + " np.nan\n", + ")\n", + "dfc[\"entry_rate_per_isin\"] = np.where(\n", + " dfc[\"n_isin_total\"] > 0,\n", + " dfc[\"entry_count\"] / dfc[\"n_isin_total\"],\n", + " np.nan\n", + ")\n", + "dfc[\"aum_final_to_peak\"] = np.where(\n", + " dfc[\"aum_qty_max\"] > 0,\n", + " dfc[\"aum_qty_last\"] / dfc[\"aum_qty_max\"],\n", + " np.nan\n", + ")\n", + "dfc[\"aum_drawdown_last\"] = dfc[\"aum_drawdown_last\"].clip(0, 1)\n", + "\n", + "# Log-transforms sur variables de taille brute (non utilisées en clustering)\n", + "for col in [\"aum_qty_mean\", \"gross_flow_qty_sum\", \"n_tx_total\"]:\n", + " dfc[f\"log_{col}\"] = np.log1p(dfc[col].clip(lower=0))\n", + "\n", + "# Filtres qualité\n", + "dfc = dfc[(dfc[\"n_months\"] >= 6) & (dfc[\"aum_qty_mean\"] > 0)].copy()\n", + "\n", + "# Retrait des outliers sur variables de taille\n", + "for col in [\"aum_qty_mean\", \"gross_flow_qty_sum\", \"n_tx_total\"]:\n", + " cap = dfc[col].quantile(0.99)\n", + " dfc = dfc[dfc[col] <= cap].copy()\n", + "\n", + "print(f\"After outlier removal: {len(dfc)} accounts\")\n", + "\n", + "# Regroupement géographique\n", + "top_countries = dfc[\"country\"].fillna(\"Unknown\").value_counts().head(10).index\n", + "top_regions = dfc[\"region\"].fillna(\"Unknown\").value_counts().head(10).index\n", + "dfc[\"country_grp\"] = np.where(dfc[\"country\"].isin(top_countries), dfc[\"country\"], \"Other\")\n", + "dfc[\"region_grp\"] = np.where(dfc[\"region\"].isin(top_regions), dfc[\"region\"], \"Other\")\n", + "\n", + "df_last_active = (\n", + " df_month[df_month[\"active_month\"] == 1]\n", + " .groupby(ID_COL)[\"month\"]\n", + " .max()\n", + " .reset_index(name=\"last_active_month\")\n", + ")\n", + "reference_date = df_month[\"month\"].max()\n", + "df_last_active[\"months_since_last_tx\"] = (\n", + " (reference_date.to_period(\"M\") - df_last_active[\"last_active_month\"].dt.to_period(\"M\"))\n", + " .apply(lambda x: x.n)\n", + ")\n", + "dfc = dfc.merge(df_last_active[[ID_COL, \"months_since_last_tx\"]], on=ID_COL, how=\"left\")\n", + "max_months = dfc[\"months_since_last_tx\"].max()\n", + "dfc[\"months_since_last_tx\"] = dfc[\"months_since_last_tx\"].fillna(max_months + 1)\n", + "\n", + "print(\"dfc shape:\", dfc.shape)" + ] + }, + { + "cell_type": "markdown", + "id": "d180b613", + "metadata": {}, + "source": [ + "## 3. Global Clustering (all active accounts)\n", + "\n", + "Baseline clustering on all accounts with sufficient history." + ] + }, + { + "cell_type": "markdown", + "id": "55ab41d3-20f6-4559-8e38-68420b4230b1", + "metadata": {}, + "source": [ + "**Feature set final retenu**\n", + "\n", + "- flow_freq : proportion de mois avec au moins une transaction — mesure la fréquence globale d'activité du compte\n", + "- gross_flow_to_aum : volume brut de flux rapporté à l'AUM moyen — mesure l'intensité des transactions indépendamment de leur direction, après clip p90 et log-transform\n", + "- n_isin_total : nombre total d'ISINs distincts détenus sur toute la période — capte l'étendue du portefeuille exploré\n", + "- avg_holding_months_per_isin : durée moyenne de détention par ISIN — capte la fidélité aux produits\n", + "- exit_rate_per_isin : nombre moyen de sorties complètes par ISIN — mesure la propension à liquider ses positions\n", + "- flow_direction_balance : ratio flux nets sur flux bruts — distingue les acheteurs nets des vendeurs nets sur l'ensemble de la période\n", + "- log_aum_qty_mean : logarithme de l'AUM moyen — seule variable de taille retenue, incluse pour distinguer des comportements identiques sur des niveaux d'engagement très différents\n", + "- months_since_last_tx : nombre de mois écoulés depuis la dernière transaction — variable de récence, la plus discriminante du set (ratio inter/total de 0.89)" + ] + }, + { + "cell_type": "code", + "execution_count": 197, + "id": "353c7d48-4644-4427-ac4b-02e3f3e31690", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "flow_freq — min=0.0000, max=1.0000, valeurs > 1 : 0\n", + "Accounts: 7179 | Features: 8\n", + "Points > 5 std after scaling: 0 (0.0%)\n", + "\n", + "Features with most extreme values (>5 std):\n", + "Series([], )\n", + "\n", + "K=4 | sil=0.2312 | db=1.5109\n", + "\n", + "=== Tailles des clusters ===\n", + " n_comptes pct\n", + "cluster_k4 \n", + "0 2708 37.7\n", + "1 1174 16.4\n", + "2 1476 20.6\n", + "3 1821 25.4\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "=== Médianes comportement ===\n", + " gross_flow_to_aum flow_freq flow_direction_balance n_isin_total avg_holding_months_per_isin exit_rate_per_isin log_aum_qty_mean months_since_last_tx\n", + "cluster_k4 \n", + "0 7.884 0.071 0.000 1.0 11.333 1.000 5.280 69.0\n", + "1 5.348 0.617 -0.006 12.0 28.924 0.667 8.768 3.0\n", + "2 1.159 0.043 -1.000 3.0 60.000 0.400 5.167 27.0\n", + "3 1.477 0.012 -1.000 3.0 12.000 0.714 3.407 127.0\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "=== Médianes allocation ===\n", + " share_asset_fixed_income share_asset_diversified share_asset_equity share_fund_carmignac_patrimoine share_fund_carmignac_investissement share_fund_carmignac_sécurité share_fund_carmignac_emergents\n", + "cluster_k4 \n", + "0 0.767 0.000 0.000 0.000 0.000 0.000 0.000\n", + "1 0.284 0.207 0.155 0.152 0.011 0.018 0.002\n", + "2 0.000 0.372 0.227 0.255 0.000 0.000 0.000\n", + "3 0.000 0.326 0.099 0.169 0.000 0.000 0.000\n" + ] + } + ], + "source": [ + "# ============================================================\n", + "# Feature selection & preprocessing \n", + "# ============================================================\n", + "base_features = [\n", + " \"flow_freq\",\n", + " \"gross_flow_to_aum\",\n", + " \"n_isin_total\",\n", + " \"avg_holding_months_per_isin\",\n", + " \"exit_rate_per_isin\",\n", + " \"flow_direction_balance\",\n", + " \"log_aum_qty_mean\",\n", + " \"months_since_last_tx\",\n", + "]\n", + "all_features = [c for c in base_features if c in dfc.columns]\n", + "\n", + "dfc_clean = dfc.copy()\n", + "\n", + "# --- Diagnostic préalable ---\n", + "vals_ff = dfc_clean[\"flow_freq\"].to_numpy(dtype=float)\n", + "print(f\"flow_freq — min={vals_ff.min():.4f}, max={vals_ff.max():.4f}, \"\n", + " f\"valeurs > 1 : {(vals_ff > 1).sum()}\")\n", + "\n", + "# --- Imputation des NaN par 0 ---\n", + "for col in [\"flow_direction_balance\", \"months_since_last_tx\"]:\n", + " if col in dfc_clean.columns:\n", + " dfc_clean[col] = dfc_clean[col].fillna(0)\n", + "\n", + "# --- Groupe 1 : clip MAD 3 sigma ---\n", + "for col in [\n", + " \"n_isin_total\",\n", + " \"exit_rate_per_isin\",\n", + " \"avg_holding_months_per_isin\",\n", + " \"months_since_last_tx\",\n", + "]:\n", + " if col not in dfc_clean.columns:\n", + " continue\n", + " vals = dfc_clean[col].to_numpy(dtype=float)\n", + " med = np.nanmedian(vals)\n", + " mad = np.nanmedian(np.abs(vals - med)) * 1.4826\n", + " if mad > 0:\n", + " dfc_clean[col] = np.clip(vals, med - 3*mad, med + 3*mad)\n", + " else:\n", + " dfc_clean[col] = np.clip(vals, 0, np.nanpercentile(vals, 95))\n", + "\n", + "# --- Groupe 2 : clip p90 puis log-transform ---\n", + "col = \"gross_flow_to_aum\"\n", + "if col in dfc_clean.columns:\n", + " vals = dfc_clean[col].to_numpy(dtype=float)\n", + " vals = np.clip(vals, 0, np.nanpercentile(vals, 90))\n", + " dfc_clean[col] = np.log1p(vals)\n", + "\n", + "col = \"flow_freq\"\n", + "if col in dfc_clean.columns:\n", + " vals = dfc_clean[col].to_numpy(dtype=float)\n", + " dfc_clean[col] = np.log1p(np.clip(vals, 0, None))\n", + "\n", + "# --- Groupe 3 : log_aum_qty_mean — clip MAD 3 sigma ---\n", + "col = \"log_aum_qty_mean\"\n", + "if col in dfc_clean.columns:\n", + " vals = dfc_clean[col].to_numpy(dtype=float)\n", + " med = np.nanmedian(vals)\n", + " mad = np.nanmedian(np.abs(vals - med)) * 1.4826\n", + " dfc_clean[col] = np.clip(vals, med - 3*mad, med + 3*mad)\n", + "\n", + "# --- Groupe 4 : hhi_isin — clip p90 ---\n", + "col = \"hhi_isin\"\n", + "if col in dfc_clean.columns:\n", + " vals = dfc_clean[col].to_numpy(dtype=float)\n", + " dfc_clean[col] = np.clip(vals, 0, np.nanpercentile(vals, 90))\n", + "\n", + "# --- Construction de X ---\n", + "X_num = dfc_clean[all_features].copy()\n", + "X_num = X_num.loc[:, ~X_num.columns.duplicated()]\n", + "X_num = X_num.fillna(X_num.median())\n", + "\n", + "X_cat = pd.get_dummies(\n", + " dfc_clean[[\"country_grp\", \"region_grp\"]].fillna(\"Unknown\"), drop_first=True\n", + ")\n", + "X = X_num.reset_index(drop=True)\n", + "\n", + "scaler = RobustScaler()\n", + "X_scaled = scaler.fit_transform(X)\n", + "\n", + "# --- Diagnostic ---\n", + "X_df = pd.DataFrame(X_scaled, columns=X.columns)\n", + "extreme = (X_df.abs() > 5).any(axis=1).sum()\n", + "print(f\"Accounts: {X.shape[0]} | Features: {X.shape[1]}\")\n", + "print(f\"Points > 5 std after scaling: {extreme} ({extreme/len(X_df):.1%})\")\n", + "\n", + "extreme_by_feat = (X_df.abs() > 5).sum().sort_values(ascending=False)\n", + "print(\"\\nFeatures with most extreme values (>5 std):\")\n", + "print(extreme_by_feat[extreme_by_feat > 0].to_string())\n", + "\n", + "# --- Clustering K=4 ---\n", + "RESULTS = {}\n", + "for k in [4]:\n", + " km = KMeans(n_clusters=k, n_init=50, random_state=RANDOM_STATE)\n", + " dfc[f\"cluster_k{k}\"] = km.fit_predict(X_scaled)\n", + " RESULTS[k] = {\n", + " \"model\": km,\n", + " \"silhouette\": silhouette_score(X_scaled, dfc[f\"cluster_k{k}\"]),\n", + " \"davies_bouldin\": davies_bouldin_score(X_scaled, dfc[f\"cluster_k{k}\"]),\n", + " }\n", + " print(f\"\\nK={k} | sil={RESULTS[k]['silhouette']:.4f} | db={RESULTS[k]['davies_bouldin']:.4f}\")\n", + "\n", + "print(\"\\n=== Tailles des clusters ===\")\n", + "counts = dfc[\"cluster_k4\"].value_counts().sort_index()\n", + "props = counts / counts.sum() * 100\n", + "print(pd.DataFrame({\"n_comptes\": counts, \"pct\": props.round(1)}))\n", + "\n", + "# --- Heatmap comportement ---\n", + "profile_vars_behavior = [\n", + " \"gross_flow_to_aum\",\n", + " \"flow_freq\",\n", + " \"flow_direction_balance\",\n", + " \"n_isin_total\",\n", + " \"avg_holding_months_per_isin\",\n", + " \"exit_rate_per_isin\",\n", + " \"log_aum_qty_mean\",\n", + " \"months_since_last_tx\",\n", + "]\n", + "profile_vars_behavior = [c for c in profile_vars_behavior if c in dfc.columns]\n", + "\n", + "prof_behavior = plot_heatmap(\n", + " dfc, profile_vars_behavior, \"cluster_k4\",\n", + " title=\"Cluster signatures — Comportement (K=4, robust z-score)\",\n", + " figsize=(14, 4)\n", + ")\n", + "\n", + "print(\"\\n=== Médianes comportement ===\")\n", + "print(prof_behavior.round(3).to_string())\n", + "\n", + "# --- Heatmap allocation (post-clustering, descriptive uniquement) ---\n", + "profile_vars_allocation = [\n", + " c for c in [\n", + " \"share_asset_fixed_income\",\n", + " \"share_asset_diversified\",\n", + " \"share_asset_equity\",\n", + " \"share_fund_carmignac_patrimoine\",\n", + " \"share_fund_carmignac_investissement\",\n", + " \"share_fund_carmignac_sécurité\",\n", + " \"share_fund_carmignac_emergents\",\n", + " ]\n", + " if c in dfc.columns\n", + "]\n", + "\n", + "prof_allocation = plot_heatmap(\n", + " dfc, profile_vars_allocation, \"cluster_k4\",\n", + " title=\"Cluster signatures — Allocation produits (K=4, descriptif post-clustering)\",\n", + " figsize=(12, 4)\n", + ")\n", + "\n", + "print(\"\\n=== Médianes allocation ===\")\n", + "print(prof_allocation.round(3).to_string())" + ] + }, + { + "cell_type": "code", + "execution_count": 199, + "id": "85747735-d0b4-4aa7-9fc2-adf030f92286", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " n_comptes pct\n", + "cluster_k4 \n", + "0 2708 37.7\n", + "1 1174 16.4\n", + "2 1476 20.6\n", + "3 1821 25.4\n" + ] + } + ], + "source": [ + "counts = dfc[\"cluster_k4\"].value_counts().sort_index()\n", + "props = counts / counts.sum() * 100\n", + "print(pd.DataFrame({\"n_comptes\": counts, \"pct\": props.round(1)}))" + ] + }, + { + "cell_type": "code", + "execution_count": 204, + "id": "dc171be2-e066-4352-a0ea-32d7b7b046b0", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " k inertia silhouette davies_bouldin\n", + " 2 20206.150896 0.422448 0.971224\n", + " 3 16684.870723 0.241253 1.542920\n", + " 4 14655.878131 0.231172 1.510868\n", + " 5 13189.616061 0.228827 1.408857\n", + " 6 11997.575028 0.223735 1.416454\n", + " 7 11089.241350 0.229848 1.419999\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "K=4 | sil=0.2312 | db=1.5109\n", + " n_comptes pct\n", + "cluster_k4 \n", + "0 2708 37.7\n", + "1 1174 16.4\n", + "2 1476 20.6\n", + "3 1821 25.4\n", + "\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "=== Médianes comportement K=4 ===\n", + " gross_flow_to_aum flow_freq flow_direction_balance n_isin_total avg_holding_months_per_isin exit_rate_per_isin log_aum_qty_mean months_since_last_tx\n", + "cluster_k4 \n", + "0 7.884 0.071 0.000 1.0 11.333 1.000 5.280 69.0\n", + "1 5.348 0.617 -0.006 12.0 28.924 0.667 8.768 3.0\n", + "2 1.159 0.043 -1.000 3.0 60.000 0.400 5.167 27.0\n", + "3 1.477 0.012 -1.000 3.0 12.000 0.714 3.407 127.0\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "=== Médianes allocation K=4 ===\n", + " share_asset_fixed_income share_asset_diversified share_asset_equity share_fund_carmignac_patrimoine share_fund_carmignac_investissement share_fund_carmignac_sécurité share_fund_carmignac_emergents\n", + "cluster_k4 \n", + "0 0.767 0.000 0.000 0.000 0.000 0.000 0.000\n", + "1 0.284 0.207 0.155 0.152 0.011 0.018 0.002\n", + "2 0.000 0.372 0.227 0.255 0.000 0.000 0.000\n", + "3 0.000 0.326 0.099 0.169 0.000 0.000 0.000\n", + "\n", + "=== Distribution par pays (top 10) ===\n", + "country_grp Belgium FRANCE France Italy Latam Luxembourg Other Spain Switzerland United Kingdom Us Offshore\n", + "cluster_k4 \n", + "0 1.5 0.1 17.1 5.0 12.5 6.1 3.0 5.0 3.6 6.6 39.4\n", + "1 3.9 8.3 32.1 12.7 0.8 4.6 17.7 6.7 4.5 8.3 0.3\n", + "2 0.9 0.5 69.6 2.8 10.0 1.4 3.9 1.6 2.2 6.7 0.5\n", + "3 2.0 0.0 53.0 4.2 2.9 5.1 7.2 2.1 7.3 10.8 5.3\n", + "\n", + "=== Distribution par région ===\n", + "region_grp Belgium FRANCE France Germany Italy LATAM Luxembourg Other Spain Switzerland United Kingdom\n", + "cluster_k4 \n", + "0 1.5 0.1 17.2 0.6 5.0 52.0 6.1 1.9 5.2 3.6 6.7\n", + "1 3.9 8.4 32.5 1.2 12.7 1.2 4.6 15.5 7.2 4.5 8.3\n", + "2 0.9 0.5 69.8 0.9 2.8 10.6 1.4 2.5 1.7 2.2 6.8\n", + "3 2.0 0.0 53.0 4.3 4.2 8.2 5.1 2.6 2.3 7.3 10.9\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# ============================================================\n", + "# K-selection diagnostics\n", + "# ============================================================\n", + "rows = []\n", + "for k in range(2, 8):\n", + " km = KMeans(n_clusters=k, n_init=50, random_state=RANDOM_STATE)\n", + " labels = km.fit_predict(X_scaled)\n", + " rows.append({\n", + " \"k\": k,\n", + " \"inertia\": km.inertia_,\n", + " \"silhouette\": silhouette_score(X_scaled, labels),\n", + " \"davies_bouldin\": davies_bouldin_score(X_scaled, labels),\n", + " })\n", + "df_kdiag = pd.DataFrame(rows)\n", + "print(df_kdiag.to_string(index=False))\n", + "\n", + "fig, axes = plt.subplots(1, 3, figsize=(15, 4))\n", + "for ax, col, title in zip(axes,\n", + " [\"inertia\", \"silhouette\", \"davies_bouldin\"],\n", + " [\"Elbow / Inertia\", \"Silhouette (higher=better)\", \"Davies-Bouldin (lower=better)\"]):\n", + " ax.plot(df_kdiag[\"k\"], df_kdiag[col], marker=\"o\")\n", + " ax.set_title(title)\n", + " ax.set_xlabel(\"K\")\n", + "plt.tight_layout()\n", + "plt.show()\n", + "\n", + "# ============================================================\n", + "# Clustering K=4\n", + "# ============================================================\n", + "RESULTS = {}\n", + "for k in [4]:\n", + " km = KMeans(n_clusters=k, n_init=50, random_state=RANDOM_STATE)\n", + " dfc[f\"cluster_k{k}\"] = km.fit_predict(X_scaled)\n", + " RESULTS[k] = {\n", + " \"model\": km,\n", + " \"silhouette\": silhouette_score(X_scaled, dfc[f\"cluster_k{k}\"]),\n", + " \"davies_bouldin\": davies_bouldin_score(X_scaled, dfc[f\"cluster_k{k}\"]),\n", + " }\n", + " print(f\"K={k} | sil={RESULTS[k]['silhouette']:.4f} | db={RESULTS[k]['davies_bouldin']:.4f}\")\n", + " counts = dfc[f\"cluster_k{k}\"].value_counts().sort_index()\n", + " props = counts / counts.sum() * 100\n", + " print(pd.DataFrame({\"n_comptes\": counts, \"pct\": props.round(1)}))\n", + " print()\n", + "\n", + "# ============================================================\n", + "# Heatmap comportement\n", + "# ============================================================\n", + "prof_behavior = plot_heatmap(\n", + " dfc, profile_vars_behavior, \"cluster_k4\",\n", + " title=\"Cluster signatures — Comportement (K=4, robust z-score)\",\n", + " figsize=(14, 4)\n", + ")\n", + "print(\"\\n=== Médianes comportement K=4 ===\")\n", + "print(prof_behavior.round(3).to_string())\n", + "\n", + "# ============================================================\n", + "# Heatmap allocation (descriptif post-clustering)\n", + "# ============================================================\n", + "prof_allocation = plot_heatmap(\n", + " dfc, profile_vars_allocation, \"cluster_k4\",\n", + " title=\"Cluster signatures — Allocation produits (K=4, descriptif post-clustering)\",\n", + " figsize=(12, 4)\n", + ")\n", + "print(\"\\n=== Médianes allocation K=4 ===\")\n", + "print(prof_allocation.round(3).to_string())\n", + "\n", + "# ============================================================\n", + "# Description géographique post-clustering\n", + "# ============================================================\n", + "print(\"\\n=== Distribution par pays (top 10) ===\")\n", + "geo_country = pd.crosstab(\n", + " dfc[\"cluster_k4\"],\n", + " dfc[\"country_grp\"].fillna(\"Unknown\"),\n", + " normalize=\"index\"\n", + ").round(3) * 100\n", + "print(geo_country.to_string())\n", + "\n", + "print(\"\\n=== Distribution par région ===\")\n", + "geo_region = pd.crosstab(\n", + " dfc[\"cluster_k4\"],\n", + " dfc[\"region_grp\"].fillna(\"Unknown\"),\n", + " normalize=\"index\"\n", + ").round(3) * 100\n", + "print(geo_region.to_string())\n", + "\n", + "# Visualisation heatmap géographique\n", + "fig, axes = plt.subplots(1, 2, figsize=(18, 4))\n", + "\n", + "sns.heatmap(\n", + " geo_country,\n", + " cmap=\"Blues\", annot=True, fmt=\".1f\",\n", + " ax=axes[0],\n", + " cbar_kws={\"label\": \"%\"}\n", + ")\n", + "axes[0].set_title(\"Distribution par pays (% par cluster)\")\n", + "axes[0].set_xlabel(\"Pays\")\n", + "axes[0].set_ylabel(\"Cluster\")\n", + "\n", + "sns.heatmap(\n", + " geo_region,\n", + " cmap=\"Blues\", annot=True, fmt=\".1f\",\n", + " ax=axes[1],\n", + " cbar_kws={\"label\": \"%\"}\n", + ")\n", + "axes[1].set_title(\"Distribution par région (% par cluster)\")\n", + "axes[1].set_xlabel(\"Région\")\n", + "axes[1].set_ylabel(\"Cluster\")\n", + "\n", + "plt.tight_layout()\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 201, + "id": "50ecf35e-de7e-44ae-afee-404186c4d42c", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " flow_freq gross_flow_to_aum n_isin_total \\\n", + "flow_freq 1.000 0.043 0.484 \n", + "gross_flow_to_aum 0.043 1.000 0.087 \n", + "n_isin_total 0.484 0.087 1.000 \n", + "avg_holding_months_per_isin 0.074 -0.019 0.027 \n", + "exit_rate_per_isin -0.066 -0.029 -0.103 \n", + "flow_direction_balance 0.182 0.007 0.038 \n", + "log_aum_qty_mean 0.522 -0.047 0.381 \n", + "months_since_last_tx -0.513 -0.012 -0.229 \n", + "\n", + " avg_holding_months_per_isin exit_rate_per_isin \\\n", + "flow_freq 0.074 -0.066 \n", + "gross_flow_to_aum -0.019 -0.029 \n", + "n_isin_total 0.027 -0.103 \n", + "avg_holding_months_per_isin 1.000 -0.257 \n", + "exit_rate_per_isin -0.257 1.000 \n", + "flow_direction_balance -0.163 0.093 \n", + "log_aum_qty_mean 0.140 0.024 \n", + "months_since_last_tx -0.306 0.159 \n", + "\n", + " flow_direction_balance log_aum_qty_mean \\\n", + "flow_freq 0.182 0.522 \n", + "gross_flow_to_aum 0.007 -0.047 \n", + "n_isin_total 0.038 0.381 \n", + "avg_holding_months_per_isin -0.163 0.140 \n", + "exit_rate_per_isin 0.093 0.024 \n", + "flow_direction_balance 1.000 0.298 \n", + "log_aum_qty_mean 0.298 1.000 \n", + "months_since_last_tx -0.119 -0.389 \n", + "\n", + " months_since_last_tx \n", + "flow_freq -0.513 \n", + "gross_flow_to_aum -0.012 \n", + "n_isin_total -0.229 \n", + "avg_holding_months_per_isin -0.306 \n", + "exit_rate_per_isin 0.159 \n", + "flow_direction_balance -0.119 \n", + "log_aum_qty_mean -0.389 \n", + "months_since_last_tx 1.000 \n" + ] + } + ], + "source": [ + "# Test : corrélations entre features\n", + "corr_matrix = dfc[base_features].corr().round(3)\n", + "print(corr_matrix)" + ] + }, + { + "cell_type": "code", + "execution_count": 202, + "id": "273392b8-c60c-4b19-ab4e-760616d3c246", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "base_features: 8\n", + "share_asset: []\n", + "share_fund: []\n", + "X columns: 8\n", + "X_num columns: 8\n", + "X_cat columns: 20\n" + ] + } + ], + "source": [ + "print(\"base_features:\", len(base_features))\n", + "print(\"share_asset:\", [c for c in all_features if c.startswith(\"share_asset_\")])\n", + "print(\"share_fund:\", [c for c in all_features if c.startswith(\"share_fund_\")])\n", + "print(\"X columns:\", X.shape[1])\n", + "print(\"X_num columns:\", X_num.shape[1])\n", + "print(\"X_cat columns:\", X_cat.shape[1])" + ] + }, + { + "cell_type": "code", + "execution_count": 203, + "id": "d42b5319-c66c-4a7f-aeac-d3044d07f499", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "=== share_fund_ disponibles ===\n", + "['share_fund_carmignac_court_terme', 'share_fund_carmignac_emergents', 'share_fund_carmignac_investissement', 'share_fund_carmignac_patrimoine', 'share_fund_carmignac_portfolio_credit', 'share_fund_carmignac_portfolio_flexible_b', 'share_fund_carmignac_portfolio_global_bon', 'share_fund_carmignac_portfolio_patrimoine', 'share_fund_carmignac_portfolio_sécurité', 'share_fund_carmignac_sécurité']\n", + "\n", + "=== share_asset_ disponibles ===\n", + "['share_asset_alternative', 'share_asset_diversified', 'share_asset_equity', 'share_asset_fixed_income', 'share_asset_private_assets']\n", + "share_fund_carmignac_court_terme: 0.000000\n", + "share_fund_carmignac_emergents: 0.000001\n", + "share_fund_carmignac_investissement: 0.000032\n", + "share_fund_carmignac_patrimoine: 0.011248\n", + "share_fund_carmignac_portfolio_credit: 0.000000\n", + "share_fund_carmignac_portfolio_flexible_b: 0.000000\n", + "share_fund_carmignac_portfolio_global_bon: 0.000000\n", + "share_fund_carmignac_portfolio_patrimoine: 0.000000\n", + "share_fund_carmignac_portfolio_sécurité: 0.000000\n", + "share_fund_carmignac_sécurité: 0.000080\n", + "share_asset_alternative: 0.000000\n", + "share_asset_diversified: 0.027594\n", + "share_asset_equity: 0.009158\n", + "share_asset_fixed_income: 0.130769\n", + "share_asset_private_assets: 0.000000\n" + ] + } + ], + "source": [ + "# Identifier les share_fund_ et share_asset_ les plus discriminantes\n", + "top_share_funds = [c for c in dfc.columns if c.startswith(\"share_fund_\")]\n", + "top_share_assets = [c for c in dfc.columns if c.startswith(\"share_asset_\")]\n", + "\n", + "# Regarder lesquelles varient le plus entre clusters\n", + "print(\"=== share_fund_ disponibles ===\")\n", + "print(top_share_funds)\n", + "print(\"\\n=== share_asset_ disponibles ===\")\n", + "print(top_share_assets)\n", + "\n", + "# Variance inter-cluster pour chaque share variable\n", + "for col in top_share_funds + top_share_assets:\n", + " var_inter = dfc.groupby(\"cluster_k4\")[col].median().var()\n", + " print(f\"{col}: {var_inter:.6f}\")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "7de1a58e-37ec-4d13-9807-5b047ec6ff42", + "metadata": {}, + "outputs": [], + "source": [ + "import subprocess\n", + "subprocess.run([\"jupyter\", \"nbconvert\", \"--to\", \"html\", \"clustering_clean.ipynb\"])" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.13.11" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/brouillon/.ipynb_checkpoints/analyse_rupture-checkpoint.ipynb b/brouillon/.ipynb_checkpoints/analyse_rupture-checkpoint.ipynb new file mode 100644 index 0000000..6e4d677 --- /dev/null +++ b/brouillon/.ipynb_checkpoints/analyse_rupture-checkpoint.ipynb @@ -0,0 +1,4472 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 51, + "id": "338730e2-a6de-4d4f-b438-efe3feb139ab", + "metadata": {}, + "outputs": [], + "source": [ + "import pandas as pd\n", + "import numpy as np\n", + "import plotly.graph_objects as go\n", + "import matplotlib.pyplot as plt" + ] + }, + { + "cell_type": "code", + "execution_count": 52, + "id": "cfd11919-0941-400e-a516-72871881f733", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/tmp/ipykernel_1311/1940519970.py:1: DtypeWarning:\n", + "\n", + "Columns (1,2,3,4) have mixed types. Specify dtype option on import or set low_memory=False.\n", + "\n", + "/tmp/ipykernel_1311/1940519970.py:2: DtypeWarning:\n", + "\n", + "Columns (1,2,3,4) have mixed types. Specify dtype option on import or set low_memory=False.\n", + "\n" + ] + } + ], + "source": [ + "stocks=pd.read_csv('stocks.csv')\n", + "flows = pd.read_csv('flows.csv')" + ] + }, + { + "cell_type": "code", + "execution_count": 53, + "id": "b99e3402-fe26-4f4e-8c1c-5f07847bce94", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/tmp/ipykernel_1311/3613746644.py:1: DtypeWarning:\n", + "\n", + "Columns (1) have mixed types. Specify dtype option on import or set low_memory=False.\n", + "\n" + ] + } + ], + "source": [ + "merged = pd.read_csv('merged.csv')" + ] + }, + { + "cell_type": "code", + "execution_count": 54, + "id": "34e5a815-7269-4312-bfe6-e2cd12595e57", + "metadata": {}, + "outputs": [], + "source": [ + "# 1. Prepare stock dataset ISIN-by-ISIN\n", + "stocks_isin = stocks[[\n", + " \"Registrar Account - ID\",\n", + " \"Product - Isin\",\n", + " \"Centralisation Date\",\n", + " \"Quantity - AUM\"\n", + "]].copy()\n", + "\n", + "stocks_isin[\"Centralisation Date\"] = pd.to_datetime(stocks_isin[\"Centralisation Date\"])\n", + "\n", + "stocks_isin = stocks_isin.sort_values(\n", + " [\"Registrar Account - ID\", \"Product - Isin\", \"Centralisation Date\"]\n", + ")\n", + "\n", + "# 2. Prepare flows dataset ISIN-by-ISIN\n", + "flows_isin = flows[[\n", + " \"Registrar Account - ID\",\n", + " \"Product - Isin\",\n", + " \"Centralisation Date\",\n", + " \"Quantity - NetFlows\"\n", + "]].copy()\n", + "\n", + "flows_isin[\"Centralisation Date\"] = pd.to_datetime(flows_isin[\"Centralisation Date\"])\n", + "\n", + "flows_isin = (\n", + " flows_isin\n", + " .groupby(\n", + " [\"Registrar Account - ID\", \"Product - Isin\", \"Centralisation Date\"]\n", + " )[\"Quantity - NetFlows\"]\n", + " .sum()\n", + " .reset_index()\n", + ")\n", + "\n", + "# 3. Merge stocks & flows ISIN-by-ISIN\n", + "merged_isin = stocks_isin.merge(\n", + " flows_isin,\n", + " on=[\"Registrar Account - ID\", \"Product - Isin\", \"Centralisation Date\"],\n", + " how=\"left\"\n", + ")\n", + "\n", + "merged_isin[\"Quantity - NetFlows\"] = merged_isin[\"Quantity - NetFlows\"].fillna(0)\n", + "\n", + "# 4. Compute expected stock per ISIN for each account\n", + "merged_isin[\"prev_stock\"] = (\n", + " merged_isin\n", + " .groupby([\"Registrar Account - ID\", \"Product - Isin\"])[\"Quantity - AUM\"]\n", + " .shift(1)\n", + ")\n", + "\n", + "merged_isin[\"prev_netflows\"] = (\n", + " merged_isin\n", + " .groupby([\"Registrar Account - ID\", \"Product - Isin\"])[\"Quantity - NetFlows\"]\n", + " .shift(1)\n", + " .fillna(0)\n", + ")\n", + "\n", + "merged_isin[\"expected_stock\"] = (\n", + " merged_isin[\"prev_stock\"] + merged_isin[\"prev_netflows\"]\n", + ")\n", + "\n", + "# 5. Detect ruptures ISIN-by-ISIN (no aggregation)\n", + "TOL = 1e-6\n", + "\n", + "merged_isin[\"gap\"] = (\n", + " merged_isin[\"Quantity - AUM\"] - merged_isin[\"expected_stock\"]\n", + ")\n", + "\n", + "merged_isin[\"rupture_flag\"] = (\n", + " merged_isin[\"prev_stock\"].notna()\n", + " & (merged_isin[\"gap\"].abs() > TOL)\n", + ")\n", + "\n", + "# 6. Summarize ruptures per (Account, ISIN)\n", + "rupture_isin_summary = (\n", + " merged_isin\n", + " .groupby([\"Registrar Account - ID\", \"Product - Isin\"])\n", + " .agg(\n", + " n_ruptures=(\"rupture_flag\", \"sum\"),\n", + " obs=(\"rupture_flag\", \"count\"),\n", + " rupture_ratio=(\"rupture_flag\", \"mean\"),\n", + " max_gap=(\"gap\", lambda x: x.abs().max())\n", + " )\n", + " .reset_index()\n", + ")\n", + "\n", + "# Sort by worst ISIN trajectories\n", + "rupture_isin_summary = rupture_isin_summary.sort_values(\n", + " \"rupture_ratio\",\n", + " ascending=False\n", + ")" + ] + }, + { + "cell_type": "markdown", + "id": "16213cb2-07d8-4e82-b9bb-252554ec47b9", + "metadata": {}, + "source": [ + "# Détection des ruptures" + ] + }, + { + "cell_type": "code", + "execution_count": 55, + "id": "78c3db70-e0b6-4de2-92ca-e29cf5bf6bd1", + "metadata": {}, + "outputs": [], + "source": [ + "# ============================================================\n", + "# AUM–FLOW CONSISTENCY & RUPTURE DETECTION (FINAL VERSION)\n", + "# ============================================================\n", + "# ------------------------------------------------------------\n", + "# 1. Keep relevant columns\n", + "# ------------------------------------------------------------\n", + "stocks_clean = stocks[[\n", + " \"Registrar Account - ID\",\n", + " \"Product - Isin\",\n", + " \"Centralisation Date\",\n", + " \"Quantity - AUM\"\n", + "]].copy()\n", + "\n", + "flows_clean = flows[[\n", + " \"Registrar Account - ID\",\n", + " \"Product - Isin\",\n", + " \"Centralisation Date\",\n", + " \"Quantity - NetFlows\"\n", + "]].copy()\n", + "\n", + "\n", + "# ------------------------------------------------------------\n", + "# 2. Date formatting\n", + "# ------------------------------------------------------------\n", + "stocks_clean[\"Centralisation Date\"] = pd.to_datetime(stocks_clean[\"Centralisation Date\"])\n", + "flows_clean[\"Centralisation Date\"] = pd.to_datetime(flows_clean[\"Centralisation Date\"])\n", + "\n", + "\n", + "# ------------------------------------------------------------\n", + "# 3. Aggregate flows per day\n", + "# ------------------------------------------------------------\n", + "flows_clean = (\n", + " flows_clean\n", + " .groupby(\n", + " [\"Registrar Account - ID\", \"Product - Isin\", \"Centralisation Date\"],\n", + " as_index=False\n", + " )[\"Quantity - NetFlows\"]\n", + " .sum()\n", + ")\n", + "\n", + "# ------------------------------------------------------------\n", + "# 4. Merge stocks and flows\n", + "# ------------------------------------------------------------\n", + "df = stocks_clean.merge(\n", + " flows_clean,\n", + " on=[\"Registrar Account - ID\", \"Product - Isin\", \"Centralisation Date\"],\n", + " how=\"left\"\n", + ")\n", + "\n", + "df[\"Quantity - NetFlows\"] = df[\"Quantity - NetFlows\"].fillna(0)\n", + "\n", + "\n", + "# ------------------------------------------------------------\n", + "# 5. Sort and compute expected stock\n", + "# ------------------------------------------------------------\n", + "df = df.sort_values(\n", + " [\"Registrar Account - ID\", \"Product - Isin\", \"Centralisation Date\"]\n", + ")\n", + "\n", + "df[\"prev_stock\"] = df.groupby(\n", + " [\"Registrar Account - ID\", \"Product - Isin\"]\n", + ")[\"Quantity - AUM\"].shift(1)\n", + "\n", + "df[\"prev_flows\"] = df.groupby(\n", + " [\"Registrar Account - ID\", \"Product - Isin\"]\n", + ")[\"Quantity - NetFlows\"].shift(1).fillna(0)\n", + "\n", + "df[\"expected_stock\"] = df[\"prev_stock\"] + df[\"prev_flows\"]\n", + "\n", + "\n", + "# ------------------------------------------------------------\n", + "# 6. Compute gaps\n", + "# ------------------------------------------------------------\n", + "df[\"gap\"] = df[\"Quantity - AUM\"] - df[\"expected_stock\"]\n", + "df[\"gap_abs\"] = df[\"gap\"].abs()\n", + "df[\"gap_rel\"] = df[\"gap_abs\"] / df[\"expected_stock\"].abs().clip(lower=1)\n", + "\n", + "\n", + "# ------------------------------------------------------------\n", + "# 7. Detect ruptures (economic rule)\n", + "# ------------------------------------------------------------\n", + "TAU_ABS = 10.0 # minimum absolute gap (shares)\n", + "TAU_REL = 0.005 # minimum relative gap (0.5%)\n", + "\n", + "df[\"rupture_flag\"] = (\n", + " df[\"prev_stock\"].notna()\n", + " & (df[\"gap_abs\"] > TAU_ABS)\n", + " & (df[\"gap_rel\"] > TAU_REL)\n", + ")\n", + "\n", + "\n", + "# ------------------------------------------------------------\n", + "# 8. Remove end-of-sample false positives (edge effects)\n", + "# ------------------------------------------------------------\n", + "last_date = df[\"Centralisation Date\"].max()\n", + "\n", + "df[\"rupture_flag\"] = np.where(\n", + " (df[\"rupture_flag\"]) & (df[\"Centralisation Date\"] == last_date),\n", + " False,\n", + " df[\"rupture_flag\"]\n", + ")\n" + ] + }, + { + "cell_type": "code", + "execution_count": 56, + "id": "a9783dc1-e225-4142-8b6f-6f9e620b4b3d", + "metadata": {}, + "outputs": [], + "source": [ + "# ------------------------------------------------------------\n", + "# 9. ISIN-level summary (AFTER CLEANING)\n", + "# ------------------------------------------------------------\n", + "rupture_isin_summary = (\n", + " df.groupby([\"Registrar Account - ID\", \"Product - Isin\"])\n", + " .agg(\n", + " n_ruptures=(\"rupture_flag\", \"sum\"),\n", + " total_obs=(\"rupture_flag\", \"count\"),\n", + " rupture_ratio=(\"rupture_flag\", \"mean\"),\n", + " max_gap=(\"gap_abs\", \"max\")\n", + " )\n", + " .reset_index()\n", + ")\n", + "\n", + "\n", + "# ------------------------------------------------------------\n", + "# 10. Account-level summary (AFTER CLEANING)\n", + "# ------------------------------------------------------------\n", + "rupture_summary = (\n", + " df.groupby(\"Registrar Account - ID\")\n", + " .agg(\n", + " n_ruptures=(\"rupture_flag\", \"sum\"),\n", + " total_obs=(\"rupture_flag\", \"count\"),\n", + " rupture_ratio=(\"rupture_flag\", \"mean\"),\n", + " max_gap=(\"gap_abs\", \"max\")\n", + " )\n", + " .reset_index()\n", + ")\n", + "\n", + "\n", + "# ------------------------------------------------------------\n", + "# 11. Outputs\n", + "# ------------------------------------------------------------\n", + "df.to_csv(\"aum_flow_gaps.csv\", index=False)\n", + "rupture_isin_summary.to_csv(\"rupture_isin_summary.csv\", index=False)\n", + "rupture_summary.to_csv(\"rupture_summary.csv\", index=False)" + ] + }, + { + "cell_type": "code", + "execution_count": 57, + "id": "f5b62558-c27a-4428-a193-8b97e0ce6b6a", + "metadata": {}, + "outputs": [ + { + "data": { + "application/vnd.plotly.v1+json": { + "config": { + "plotlyServerURL": "https://plot.ly" + }, + "data": [ + { + "hole": 0.45, + "hoverinfo": "label+percent", + "labels": [ + "Clean / quasi-clean (≤1%)", + "Moderate (1–10%)", + "High (10–30%)", + "Severe (>30%)" + ], + "textinfo": "percent", + "type": "pie", + "values": { + "bdata": "AAAAAACASEAAAAAAAIBBQAAAAAAAAChAZmZmZmZmEEA=", + "dtype": "f8" + } + } + ], + "layout": { + "legend": { + "orientation": "h", + "title": { + "text": "Rupture ratio" + }, + "x": 0.5, + "xanchor": "center", + "y": -0.15, + 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" + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Base\n", + "rs = rupture_summary.copy()\n", + "\n", + "# Classes simplifiées\n", + "bins = [0, 0.01, 0.10, 0.30, 1.01]\n", + "labels = [\n", + " \"Clean / quasi-clean (≤1%)\",\n", + " \"Moderate (1–10%)\",\n", + " \"High (10–30%)\",\n", + " \"Severe (>30%)\"\n", + "]\n", + "\n", + "rs[\"rupture_class\"] = pd.cut(\n", + " rs[\"rupture_ratio\"],\n", + " bins=bins,\n", + " labels=labels,\n", + " include_lowest=True\n", + ")\n", + "\n", + "# Distribution en %\n", + "dist = (\n", + " rs[\"rupture_class\"]\n", + " .value_counts(normalize=True)\n", + " .sort_index()\n", + " * 100\n", + ").round(1)\n", + "\n", + "# Donut chart\n", + "fig = go.Figure(\n", + " data=[go.Pie(\n", + " labels=dist.index,\n", + " values=dist.values,\n", + " hole=0.45,\n", + " textinfo=\"percent\",\n", + " hoverinfo=\"label+percent\"\n", + " )]\n", + ")\n", + "\n", + "fig.update_layout(\n", + " legend=dict(\n", + " orientation=\"h\", # horizontale\n", + " yanchor=\"top\",\n", + " y=-0.15, # en dessous du graphe\n", + " xanchor=\"center\",\n", + " x=0.5\n", + " ),\n", + " legend_title_text=\"Rupture ratio\"\n", + ")\n", + "\n", + "fig.show()\n" + ] + }, + { + "cell_type": "markdown", + "id": "e52cd650-df05-490d-af59-e66c058f955d", + "metadata": {}, + "source": [ + "## AUM–FLOW CONSISTENCY & DISCONTINUITY DETECTION" + ] + }, + { + "cell_type": "code", + "execution_count": 58, + "id": "a7efe494-f5fa-43f8-8446-942fc2d3bd4c", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Detection threshold epsilon (trimmed 99th percentile): 40.03%\n" + ] + } + ], + "source": [ + "# ------------------------------------------------------------\n", + "# 1. Keep relevant columns\n", + "# ------------------------------------------------------------\n", + "stocks_clean = stocks[\n", + " [\"Registrar Account - ID\", \"Product - Isin\", \"Centralisation Date\", \"Quantity - AUM\"]\n", + "].copy()\n", + "\n", + "flows_clean = flows[\n", + " [\"Registrar Account - ID\", \"Product - Isin\", \"Centralisation Date\", \"Quantity - NetFlows\"]\n", + "].copy()\n", + "\n", + "# ------------------------------------------------------------\n", + "# 2. Date formatting\n", + "# ------------------------------------------------------------\n", + "stocks_clean[\"Centralisation Date\"] = pd.to_datetime(stocks_clean[\"Centralisation Date\"])\n", + "flows_clean[\"Centralisation Date\"] = pd.to_datetime(flows_clean[\"Centralisation Date\"])\n", + "\n", + "# ------------------------------------------------------------\n", + "# 3. Aggregate flows per day\n", + "# ------------------------------------------------------------\n", + "flows_clean = (\n", + " flows_clean\n", + " .groupby(\n", + " [\"Registrar Account - ID\", \"Product - Isin\", \"Centralisation Date\"],\n", + " as_index=False\n", + " )[\"Quantity - NetFlows\"]\n", + " .sum()\n", + ")\n", + "\n", + "# ------------------------------------------------------------\n", + "# 4. Merge stocks and flows\n", + "# ------------------------------------------------------------\n", + "df = stocks_clean.merge(\n", + " flows_clean,\n", + " on=[\"Registrar Account - ID\", \"Product - Isin\", \"Centralisation Date\"],\n", + " how=\"left\"\n", + ")\n", + "\n", + "df[\"Quantity - NetFlows\"] = df[\"Quantity - NetFlows\"].fillna(0)\n", + "\n", + "# ------------------------------------------------------------\n", + "# 5. Sort and reconstruct expected stock\n", + "# ------------------------------------------------------------\n", + "df = df.sort_values(\n", + " [\"Registrar Account - ID\", \"Product - Isin\", \"Centralisation Date\"]\n", + ")\n", + "\n", + "df[\"prev_stock\"] = (\n", + " df.groupby([\"Registrar Account - ID\", \"Product - Isin\"])\n", + " [\"Quantity - AUM\"]\n", + " .shift(1)\n", + ")\n", + "\n", + "df[\"prev_flows\"] = (\n", + " df.groupby([\"Registrar Account - ID\", \"Product - Isin\"])\n", + " [\"Quantity - NetFlows\"]\n", + " .shift(1)\n", + " .fillna(0)\n", + ")\n", + "\n", + "df[\"expected_stock\"] = df[\"prev_stock\"] + df[\"prev_flows\"]\n", + "\n", + "# ------------------------------------------------------------\n", + "# 6. Compute accounting gaps\n", + "# ------------------------------------------------------------\n", + "df[\"gap\"] = df[\"Quantity - AUM\"] - df[\"expected_stock\"]\n", + "df[\"gap_abs\"] = df[\"gap\"].abs()\n", + "\n", + "# Relative gap normalised by previous stock\n", + "df[\"gap_rel\"] = (\n", + " df[\"gap_abs\"] /\n", + " df[\"prev_stock\"].abs().replace(0, np.nan)\n", + ")\n", + "\n", + "# ------------------------------------------------------------\n", + "# 7. Calibration sample (valid regime)\n", + "# ------------------------------------------------------------\n", + "valid_gaps = df.loc[\n", + " df[\"gap_rel\"].notna() & (df[\"prev_stock\"] > 0),\n", + " \"gap_rel\"\n", + "]\n", + "\n", + "# ------------------------------------------------------------\n", + "# 8. Robust, data-driven threshold (epsilon)\n", + "# ------------------------------------------------------------\n", + "# Step 1 — trim extreme breaks to avoid calibrating on resets\n", + "gap_rel_trimmed = valid_gaps[\n", + " valid_gaps <= valid_gaps.quantile(0.90)\n", + "]\n", + "\n", + "# Step 2 — define epsilon on the upper tail of the trimmed distribution\n", + "EPSILON = gap_rel_trimmed.quantile(0.99)\n", + "\n", + "# ------------------------------------------------------------\n", + "# 9. Detect discontinuities (diagnostic rule)\n", + "# ------------------------------------------------------------\n", + "df[\"rupture_flag\"] = (\n", + " df[\"prev_stock\"].notna()\n", + " & (df[\"prev_stock\"] > 0)\n", + " & (df[\"gap_rel\"] > EPSILON)\n", + ")\n", + "\n", + "# ------------------------------------------------------------\n", + "# 10. Remove end-of-sample edge effects\n", + "# ------------------------------------------------------------\n", + "last_date = df[\"Centralisation Date\"].max()\n", + "\n", + "df.loc[\n", + " (df[\"rupture_flag\"]) &\n", + " (df[\"Centralisation Date\"] == last_date),\n", + " \"rupture_flag\"\n", + "] = False\n", + "\n", + "# ------------------------------------------------------------\n", + "# 11. ISIN-level summary\n", + "# ------------------------------------------------------------\n", + "rupture_isin_summary = (\n", + " df.groupby([\"Registrar Account - ID\", \"Product - Isin\"])\n", + " .agg(\n", + " n_ruptures=(\"rupture_flag\", \"sum\"),\n", + " total_obs=(\"rupture_flag\", \"count\"),\n", + " rupture_ratio=(\"rupture_flag\", \"mean\"),\n", + " max_gap_abs=(\"gap_abs\", \"max\"),\n", + " max_gap_rel=(\"gap_rel\", \"max\")\n", + " )\n", + " .reset_index()\n", + ")\n", + "\n", + "# ------------------------------------------------------------\n", + "# 12. Account-level summary\n", + "# ------------------------------------------------------------\n", + "rupture_summary = (\n", + " df.groupby(\"Registrar Account - ID\")\n", + " .agg(\n", + " n_ruptures=(\"rupture_flag\", \"sum\"),\n", + " total_obs=(\"rupture_flag\", \"count\"),\n", + " rupture_ratio=(\"rupture_flag\", \"mean\"),\n", + " max_gap_abs=(\"gap_abs\", \"max\"),\n", + " max_gap_rel=(\"gap_rel\", \"max\")\n", + " )\n", + " .reset_index()\n", + ")\n", + "\n", + "# ------------------------------------------------------------\n", + "# 13. Outputs\n", + "# ------------------------------------------------------------\n", + "df.to_csv(\"aum_flow_gaps.csv\", index=False)\n", + "rupture_isin_summary.to_csv(\"rupture_isin_summary.csv\", index=False)\n", + "rupture_summary.to_csv(\"rupture_summary.csv\", index=False)\n", + "\n", + "print(f\"Detection threshold epsilon (trimmed 99th percentile): {EPSILON:.2%}\")\n" + ] + }, + { + "cell_type": "code", + "execution_count": 59, + "id": "d7454212-1493-4715-a436-c331931f92fa", + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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Registrar Account - IDProduct - Isinn_rupturestotal_obsrupture_ratiomax_gap_absmax_gap_rel
59545200127410FR00101351033844360.880734295985.423371.158214
\n", + "
" + ], + "text/plain": [ + " Registrar Account - ID Product - Isin n_ruptures total_obs \\\n", + "59545 200127410 FR0010135103 384 436 \n", + "\n", + " rupture_ratio max_gap_abs max_gap_rel \n", + "59545 0.880734 295985.42 3371.158214 " + ] + }, + "execution_count": 59, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "rupture_isin_summary.sort_values(\"rupture_ratio\").head(1)\n", + "rupture_isin_summary.sort_values(\"rupture_ratio\", ascending=False).head(1)" + ] + }, + { + "cell_type": "code", + "execution_count": 60, + "id": "b4040847-e0cf-4aa5-966c-d1fbf3935b7d", + "metadata": {}, + "outputs": [], + "source": [ + "def plot_isin_evolution(df, account_id, isin, title_suffix=\"\"):\n", + " sub = df[\n", + " (df[\"Registrar Account - ID\"] == account_id) &\n", + " (df[\"Product - Isin\"] == isin)\n", + " ].copy()\n", + "\n", + " if sub.empty:\n", + " print(\"No data for this (account, ISIN).\")\n", + " return\n", + "\n", + " plt.figure(figsize=(10,4))\n", + "\n", + " # Stock observé\n", + " plt.plot(\n", + " sub[\"Centralisation Date\"],\n", + " sub[\"Quantity - AUM\"],\n", + " label=\"Observed stock\",\n", + " linewidth=2\n", + " )\n", + "\n", + " # Stock attendu\n", + " plt.plot(\n", + " sub[\"Centralisation Date\"],\n", + " sub[\"expected_stock\"],\n", + " label=\"Expected stock\",\n", + " linestyle=\"--\"\n", + " )\n", + "\n", + " # Ruptures\n", + " rupt = sub[sub[\"rupture_flag\"]]\n", + " plt.scatter(\n", + " rupt[\"Centralisation Date\"],\n", + " rupt[\"Quantity - AUM\"],\n", + " color=\"red\",\n", + " label=\"Rupture\",\n", + " zorder=5\n", + " )\n", + "\n", + " plt.title(f\"ISIN {isin} — Account {account_id} {title_suffix}\")\n", + " plt.xlabel(\"Date\")\n", + " plt.ylabel(\"AUM (shares)\")\n", + " plt.legend()\n", + " plt.grid(True)\n", + " plt.tight_layout()\n", + " plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 61, + "id": "e5d7a5ab-40bd-452d-a6ae-d56e220c592f", + "metadata": {}, + "outputs": [ + { + "ename": "NameError", + "evalue": "name 'plot_isin_dynamics' is not defined", + "output_type": "error", + "traceback": [ + "\u001b[31m---------------------------------------------------------------------------\u001b[39m", + "\u001b[31mNameError\u001b[39m Traceback (most recent call last)", + "\u001b[36mCell\u001b[39m\u001b[36m \u001b[39m\u001b[32mIn[61]\u001b[39m\u001b[32m, line 63\u001b[39m\n\u001b[32m 58\u001b[39m plt.show()\n\u001b[32m 62\u001b[39m \u001b[38;5;28;01mfor\u001b[39;00m _, row \u001b[38;5;129;01min\u001b[39;00m sample_isin.iterrows():\n\u001b[32m---> \u001b[39m\u001b[32m63\u001b[39m \u001b[43mplot_isin_dynamics\u001b[49m(\n\u001b[32m 64\u001b[39m df,\n\u001b[32m 65\u001b[39m row[\u001b[33m\"\u001b[39m\u001b[33mRegistrar Account - ID\u001b[39m\u001b[33m\"\u001b[39m],\n\u001b[32m 66\u001b[39m row[\u001b[33m\"\u001b[39m\u001b[33mProduct - Isin\u001b[39m\u001b[33m\"\u001b[39m]\n\u001b[32m 67\u001b[39m )\n", + "\u001b[31mNameError\u001b[39m: name 'plot_isin_dynamics' is not defined" + ] + } + ], + "source": [ + "# Option B (alternative) : les plus sévères\n", + "# sample_isin = problematic_isin.sort_values(\n", + "# \"rupture_ratio\", ascending=False\n", + "# ).head(10)\n", + "\n", + "sample_isin = rupture_isin_summary.sort_values(\n", + " \"rupture_ratio\",\n", + " ascending=False\n", + ").head(10)\n", + "\n", + "def plot_isin_dynamics_clean(df, account_id, isin):\n", + " sub = df[\n", + " (df[\"Registrar Account - ID\"] == account_id) &\n", + " (df[\"Product - Isin\"] == isin)\n", + " ].sort_values(\"Centralisation Date\")\n", + "\n", + " if sub.empty:\n", + " return\n", + "\n", + " fig, ax = plt.subplots(figsize=(7.5, 3))\n", + "\n", + " # AUM observé\n", + " ax.plot(\n", + " sub[\"Centralisation Date\"],\n", + " sub[\"Quantity - AUM\"],\n", + " label=\"Observed AUM\",\n", + " linewidth=2,\n", + " color=\"black\"\n", + " )\n", + "\n", + " # AUM attendu\n", + " ax.plot(\n", + " sub[\"Centralisation Date\"],\n", + " sub[\"expected_stock\"],\n", + " label=\"Flow-implied AUM\",\n", + " linestyle=\"--\",\n", + " linewidth=2,\n", + " color=\"grey\"\n", + " )\n", + "\n", + " # Ruptures\n", + " rupt = sub[sub[\"rupture_flag\"]]\n", + " ax.scatter(\n", + " rupt[\"Centralisation Date\"],\n", + " rupt[\"Quantity - AUM\"],\n", + " color=\"red\",\n", + " s=25,\n", + " zorder=5,\n", + " label=\"Discontinuity\"\n", + " )\n", + "\n", + " ax.set_title(f\"Account {account_id} — ISIN {isin}\", fontsize=11)\n", + " ax.set_xlabel(\"\")\n", + " ax.set_ylabel(\"AUM (shares)\")\n", + " ax.legend(loc=\"best\")\n", + "\n", + " plt.tight_layout()\n", + " plt.show()\n", + "\n", + "\n", + "\n", + "for _, row in sample_isin.iterrows():\n", + " plot_isin_dynamics(\n", + " df,\n", + " row[\"Registrar Account - ID\"],\n", + " row[\"Product - Isin\"]\n", + " )" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "id": "aef8ceb9-28a6-4908-ae24-a88d85b64309", + "metadata": {}, + "outputs": [ + { + "ename": "KeyError", + "evalue": "\"Column(s) ['rupture_flag'] do not exist\"", + "output_type": "error", + "traceback": [ + "\u001b[31m---------------------------------------------------------------------------\u001b[39m", + "\u001b[31mKeyError\u001b[39m Traceback (most recent call last)", + "\u001b[36mCell\u001b[39m\u001b[36m \u001b[39m\u001b[32mIn[28]\u001b[39m\u001b[32m, line 6\u001b[39m\n\u001b[32m 1\u001b[39m \u001b[38;5;66;03m# ------------------------------------------------------------\u001b[39;00m\n\u001b[32m 2\u001b[39m \u001b[38;5;66;03m# 1. Aggregate rupture rate over time\u001b[39;00m\n\u001b[32m 3\u001b[39m \u001b[38;5;66;03m# ------------------------------------------------------------\u001b[39;00m\n\u001b[32m 4\u001b[39m time_stats = (\n\u001b[32m 5\u001b[39m \u001b[43mdf\u001b[49m\u001b[43m.\u001b[49m\u001b[43mgroupby\u001b[49m\u001b[43m(\u001b[49m\u001b[33;43m\"\u001b[39;49m\u001b[33;43mCentralisation Date\u001b[39;49m\u001b[33;43m\"\u001b[39;49m\u001b[43m)\u001b[49m\n\u001b[32m----> \u001b[39m\u001b[32m6\u001b[39m \u001b[43m \u001b[49m\u001b[43m.\u001b[49m\u001b[43magg\u001b[49m\u001b[43m(\u001b[49m\n\u001b[32m 7\u001b[39m \u001b[43m \u001b[49m\u001b[43mtotal_obs\u001b[49m\u001b[43m=\u001b[49m\u001b[43m(\u001b[49m\u001b[33;43m\"\u001b[39;49m\u001b[33;43mrupture_flag\u001b[39;49m\u001b[33;43m\"\u001b[39;49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[33;43m\"\u001b[39;49m\u001b[33;43mcount\u001b[39;49m\u001b[33;43m\"\u001b[39;49m\u001b[43m)\u001b[49m\u001b[43m,\u001b[49m\n\u001b[32m 8\u001b[39m \u001b[43m \u001b[49m\u001b[43mn_ruptures\u001b[49m\u001b[43m=\u001b[49m\u001b[43m(\u001b[49m\u001b[33;43m\"\u001b[39;49m\u001b[33;43mrupture_flag\u001b[39;49m\u001b[33;43m\"\u001b[39;49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[33;43m\"\u001b[39;49m\u001b[33;43msum\u001b[39;49m\u001b[33;43m\"\u001b[39;49m\u001b[43m)\u001b[49m\n\u001b[32m 9\u001b[39m \u001b[43m \u001b[49m\u001b[43m)\u001b[49m\n\u001b[32m 10\u001b[39m .reset_index()\n\u001b[32m 11\u001b[39m )\n\u001b[32m 13\u001b[39m time_stats[\u001b[33m\"\u001b[39m\u001b[33mrupture_rate\u001b[39m\u001b[33m\"\u001b[39m] = (\n\u001b[32m 14\u001b[39m time_stats[\u001b[33m\"\u001b[39m\u001b[33mn_ruptures\u001b[39m\u001b[33m\"\u001b[39m] / time_stats[\u001b[33m\"\u001b[39m\u001b[33mtotal_obs\u001b[39m\u001b[33m\"\u001b[39m]\n\u001b[32m 15\u001b[39m )\n\u001b[32m 17\u001b[39m \u001b[38;5;66;03m# ------------------------------------------------------------\u001b[39;00m\n\u001b[32m 18\u001b[39m \u001b[38;5;66;03m# 2. Smooth (optional but recommended for readability)\u001b[39;00m\n\u001b[32m 19\u001b[39m \u001b[38;5;66;03m# ------------------------------------------------------------\u001b[39;00m\n", + "\u001b[36mFile \u001b[39m\u001b[32m/opt/python/lib/python3.13/site-packages/pandas/core/groupby/generic.py:1432\u001b[39m, in \u001b[36mDataFrameGroupBy.aggregate\u001b[39m\u001b[34m(self, func, engine, engine_kwargs, *args, **kwargs)\u001b[39m\n\u001b[32m 1429\u001b[39m kwargs[\u001b[33m\"\u001b[39m\u001b[33mengine_kwargs\u001b[39m\u001b[33m\"\u001b[39m] = engine_kwargs\n\u001b[32m 1431\u001b[39m op = GroupByApply(\u001b[38;5;28mself\u001b[39m, func, args=args, kwargs=kwargs)\n\u001b[32m-> \u001b[39m\u001b[32m1432\u001b[39m result = \u001b[43mop\u001b[49m\u001b[43m.\u001b[49m\u001b[43magg\u001b[49m\u001b[43m(\u001b[49m\u001b[43m)\u001b[49m\n\u001b[32m 1433\u001b[39m \u001b[38;5;28;01mif\u001b[39;00m \u001b[38;5;129;01mnot\u001b[39;00m is_dict_like(func) \u001b[38;5;129;01mand\u001b[39;00m result \u001b[38;5;129;01mis\u001b[39;00m \u001b[38;5;129;01mnot\u001b[39;00m \u001b[38;5;28;01mNone\u001b[39;00m:\n\u001b[32m 1434\u001b[39m \u001b[38;5;66;03m# GH #52849\u001b[39;00m\n\u001b[32m 1435\u001b[39m \u001b[38;5;28;01mif\u001b[39;00m \u001b[38;5;129;01mnot\u001b[39;00m \u001b[38;5;28mself\u001b[39m.as_index \u001b[38;5;129;01mand\u001b[39;00m is_list_like(func):\n", + "\u001b[36mFile \u001b[39m\u001b[32m/opt/python/lib/python3.13/site-packages/pandas/core/apply.py:190\u001b[39m, in \u001b[36mApply.agg\u001b[39m\u001b[34m(self)\u001b[39m\n\u001b[32m 187\u001b[39m \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[38;5;28mself\u001b[39m.apply_str()\n\u001b[32m 189\u001b[39m \u001b[38;5;28;01mif\u001b[39;00m is_dict_like(func):\n\u001b[32m--> \u001b[39m\u001b[32m190\u001b[39m \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[38;5;28;43mself\u001b[39;49m\u001b[43m.\u001b[49m\u001b[43magg_dict_like\u001b[49m\u001b[43m(\u001b[49m\u001b[43m)\u001b[49m\n\u001b[32m 191\u001b[39m \u001b[38;5;28;01melif\u001b[39;00m is_list_like(func):\n\u001b[32m 192\u001b[39m \u001b[38;5;66;03m# we require a list, but not a 'str'\u001b[39;00m\n\u001b[32m 193\u001b[39m \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[38;5;28mself\u001b[39m.agg_list_like()\n", + "\u001b[36mFile \u001b[39m\u001b[32m/opt/python/lib/python3.13/site-packages/pandas/core/apply.py:423\u001b[39m, in \u001b[36mApply.agg_dict_like\u001b[39m\u001b[34m(self)\u001b[39m\n\u001b[32m 415\u001b[39m \u001b[38;5;28;01mdef\u001b[39;00m\u001b[38;5;250m \u001b[39m\u001b[34magg_dict_like\u001b[39m(\u001b[38;5;28mself\u001b[39m) -> DataFrame | Series:\n\u001b[32m 416\u001b[39m \u001b[38;5;250m \u001b[39m\u001b[33;03m\"\"\"\u001b[39;00m\n\u001b[32m 417\u001b[39m \u001b[33;03m Compute aggregation in the case of a dict-like argument.\u001b[39;00m\n\u001b[32m 418\u001b[39m \n\u001b[32m (...)\u001b[39m\u001b[32m 421\u001b[39m \u001b[33;03m Result of aggregation.\u001b[39;00m\n\u001b[32m 422\u001b[39m \u001b[33;03m \"\"\"\u001b[39;00m\n\u001b[32m--> \u001b[39m\u001b[32m423\u001b[39m \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[38;5;28;43mself\u001b[39;49m\u001b[43m.\u001b[49m\u001b[43magg_or_apply_dict_like\u001b[49m\u001b[43m(\u001b[49m\u001b[43mop_name\u001b[49m\u001b[43m=\u001b[49m\u001b[33;43m\"\u001b[39;49m\u001b[33;43magg\u001b[39;49m\u001b[33;43m\"\u001b[39;49m\u001b[43m)\u001b[49m\n", + "\u001b[36mFile \u001b[39m\u001b[32m/opt/python/lib/python3.13/site-packages/pandas/core/apply.py:1603\u001b[39m, in \u001b[36mGroupByApply.agg_or_apply_dict_like\u001b[39m\u001b[34m(self, op_name)\u001b[39m\n\u001b[32m 1598\u001b[39m kwargs.update({\u001b[33m\"\u001b[39m\u001b[33mengine\u001b[39m\u001b[33m\"\u001b[39m: engine, \u001b[33m\"\u001b[39m\u001b[33mengine_kwargs\u001b[39m\u001b[33m\"\u001b[39m: engine_kwargs})\n\u001b[32m 1600\u001b[39m \u001b[38;5;28;01mwith\u001b[39;00m com.temp_setattr(\n\u001b[32m 1601\u001b[39m obj, \u001b[33m\"\u001b[39m\u001b[33mas_index\u001b[39m\u001b[33m\"\u001b[39m, \u001b[38;5;28;01mTrue\u001b[39;00m, condition=\u001b[38;5;28mhasattr\u001b[39m(obj, \u001b[33m\"\u001b[39m\u001b[33mas_index\u001b[39m\u001b[33m\"\u001b[39m)\n\u001b[32m 1602\u001b[39m ):\n\u001b[32m-> \u001b[39m\u001b[32m1603\u001b[39m result_index, result_data = \u001b[38;5;28;43mself\u001b[39;49m\u001b[43m.\u001b[49m\u001b[43mcompute_dict_like\u001b[49m\u001b[43m(\u001b[49m\n\u001b[32m 1604\u001b[39m \u001b[43m \u001b[49m\u001b[43mop_name\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mselected_obj\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mselection\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mkwargs\u001b[49m\n\u001b[32m 1605\u001b[39m \u001b[43m \u001b[49m\u001b[43m)\u001b[49m\n\u001b[32m 1606\u001b[39m result = \u001b[38;5;28mself\u001b[39m.wrap_results_dict_like(selected_obj, result_index, result_data)\n\u001b[32m 1607\u001b[39m \u001b[38;5;28;01mreturn\u001b[39;00m result\n", + "\u001b[36mFile \u001b[39m\u001b[32m/opt/python/lib/python3.13/site-packages/pandas/core/apply.py:462\u001b[39m, in \u001b[36mApply.compute_dict_like\u001b[39m\u001b[34m(self, op_name, selected_obj, selection, kwargs)\u001b[39m\n\u001b[32m 460\u001b[39m is_groupby = \u001b[38;5;28misinstance\u001b[39m(obj, (DataFrameGroupBy, SeriesGroupBy))\n\u001b[32m 461\u001b[39m func = cast(AggFuncTypeDict, \u001b[38;5;28mself\u001b[39m.func)\n\u001b[32m--> \u001b[39m\u001b[32m462\u001b[39m func = \u001b[38;5;28;43mself\u001b[39;49m\u001b[43m.\u001b[49m\u001b[43mnormalize_dictlike_arg\u001b[49m\u001b[43m(\u001b[49m\u001b[43mop_name\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mselected_obj\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mfunc\u001b[49m\u001b[43m)\u001b[49m\n\u001b[32m 464\u001b[39m is_non_unique_col = (\n\u001b[32m 465\u001b[39m selected_obj.ndim == \u001b[32m2\u001b[39m\n\u001b[32m 466\u001b[39m \u001b[38;5;129;01mand\u001b[39;00m selected_obj.columns.nunique() < \u001b[38;5;28mlen\u001b[39m(selected_obj.columns)\n\u001b[32m 467\u001b[39m )\n\u001b[32m 469\u001b[39m \u001b[38;5;28;01mif\u001b[39;00m selected_obj.ndim == \u001b[32m1\u001b[39m:\n\u001b[32m 470\u001b[39m \u001b[38;5;66;03m# key only used for output\u001b[39;00m\n", + "\u001b[36mFile \u001b[39m\u001b[32m/opt/python/lib/python3.13/site-packages/pandas/core/apply.py:663\u001b[39m, in \u001b[36mApply.normalize_dictlike_arg\u001b[39m\u001b[34m(self, how, obj, func)\u001b[39m\n\u001b[32m 661\u001b[39m cols = Index(\u001b[38;5;28mlist\u001b[39m(func.keys())).difference(obj.columns, sort=\u001b[38;5;28;01mTrue\u001b[39;00m)\n\u001b[32m 662\u001b[39m \u001b[38;5;28;01mif\u001b[39;00m \u001b[38;5;28mlen\u001b[39m(cols) > \u001b[32m0\u001b[39m:\n\u001b[32m--> \u001b[39m\u001b[32m663\u001b[39m \u001b[38;5;28;01mraise\u001b[39;00m \u001b[38;5;167;01mKeyError\u001b[39;00m(\u001b[33mf\u001b[39m\u001b[33m\"\u001b[39m\u001b[33mColumn(s) \u001b[39m\u001b[38;5;132;01m{\u001b[39;00m\u001b[38;5;28mlist\u001b[39m(cols)\u001b[38;5;132;01m}\u001b[39;00m\u001b[33m do not exist\u001b[39m\u001b[33m\"\u001b[39m)\n\u001b[32m 665\u001b[39m aggregator_types = (\u001b[38;5;28mlist\u001b[39m, \u001b[38;5;28mtuple\u001b[39m, \u001b[38;5;28mdict\u001b[39m)\n\u001b[32m 667\u001b[39m \u001b[38;5;66;03m# if we have a dict of any non-scalars\u001b[39;00m\n\u001b[32m 668\u001b[39m \u001b[38;5;66;03m# eg. {'A' : ['mean']}, normalize all to\u001b[39;00m\n\u001b[32m 669\u001b[39m \u001b[38;5;66;03m# be list-likes\u001b[39;00m\n\u001b[32m 670\u001b[39m \u001b[38;5;66;03m# Cannot use func.values() because arg may be a Series\u001b[39;00m\n", + "\u001b[31mKeyError\u001b[39m: \"Column(s) ['rupture_flag'] do not exist\"" + ] + } + ], + "source": [ + "# ------------------------------------------------------------\n", + "# 1. Aggregate rupture rate over time\n", + "# ------------------------------------------------------------\n", + "time_stats = (\n", + " df.groupby(\"Centralisation Date\")\n", + " .agg(\n", + " total_obs=(\"rupture_flag\", \"count\"),\n", + " n_ruptures=(\"rupture_flag\", \"sum\")\n", + " )\n", + " .reset_index()\n", + ")\n", + "\n", + "time_stats[\"rupture_rate\"] = (\n", + " time_stats[\"n_ruptures\"] / time_stats[\"total_obs\"]\n", + ")\n", + "\n", + "# ------------------------------------------------------------\n", + "# 2. Smooth (optional but recommended for readability)\n", + "# ------------------------------------------------------------\n", + "time_stats[\"rupture_rate_ma\"] = (\n", + " time_stats[\"rupture_rate\"]\n", + " .rolling(window=6, center=True) # 6 periods ≈ half-year\n", + " .mean()\n", + ")\n", + "\n", + "# ------------------------------------------------------------\n", + "# 3. Professional plot\n", + "# ------------------------------------------------------------\n", + "plt.figure(figsize=(12, 5))\n", + "\n", + "plt.plot(\n", + " time_stats[\"Centralisation Date\"],\n", + " time_stats[\"rupture_rate\"] * 100,\n", + " color=\"lightgray\",\n", + " linewidth=1,\n", + " alpha=0.6,\n", + " label=\"Monthly rupture rate\"\n", + ")\n", + "\n", + "plt.plot(\n", + " time_stats[\"Centralisation Date\"],\n", + " time_stats[\"rupture_rate_ma\"] * 100,\n", + " color=\"#1f77b4\",\n", + " linewidth=2.5,\n", + " label=\"6-month moving average\"\n", + ")\n", + "\n", + "plt.ylabel(\"Rupture rate (%)\")\n", + "plt.xlabel(\"Date\")\n", + "\n", + "plt.grid(True, linestyle=\"--\", alpha=0.4)\n", + "plt.legend(frameon=False)\n", + "\n", + "plt.tight_layout()\n", + "plt.show()\n" + ] + }, + { + "cell_type": "code", + "execution_count": 63, + "id": "6624939b-f079-4e02-9989-60462e9f5356", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# ------------------------------------------------------------\n", + "# 1. Aggregate rupture rate over time\n", + "# CORRECTED: denominator = only observations with active flows\n", + "# ------------------------------------------------------------\n", + "\n", + "# Active observations = at least one non-zero flow at this date\n", + "active_obs = df[df[\"Quantity - NetFlows\"] != 0]\n", + "\n", + "time_stats = (\n", + " active_obs\n", + " .groupby(\"Centralisation Date\")\n", + " .agg(\n", + " total_obs=(\"rupture_flag\", \"count\"), # only active flow observations\n", + " n_ruptures=(\"rupture_flag\", \"sum\")\n", + " )\n", + " .reset_index()\n", + ")\n", + "\n", + "time_stats[\"rupture_rate\"] = (\n", + " time_stats[\"n_ruptures\"] / time_stats[\"total_obs\"]\n", + ")\n", + "\n", + "# ------------------------------------------------------------\n", + "# 2. Smooth (6-month moving average)\n", + "# ------------------------------------------------------------\n", + "time_stats[\"rupture_rate_ma\"] = (\n", + " time_stats[\"rupture_rate\"]\n", + " .rolling(window=6, center=True)\n", + " .mean()\n", + ")\n", + "\n", + "# ------------------------------------------------------------\n", + "# 3. Plot\n", + "# ------------------------------------------------------------\n", + "plt.figure(figsize=(12, 5))\n", + "\n", + "plt.plot(\n", + " time_stats[\"Centralisation Date\"],\n", + " time_stats[\"rupture_rate\"] * 100,\n", + " color=\"lightgray\",\n", + " linewidth=1,\n", + " alpha=0.6,\n", + " label=\"Monthly rupture rate (active flows only)\"\n", + ")\n", + "\n", + "plt.plot(\n", + " time_stats[\"Centralisation Date\"],\n", + " time_stats[\"rupture_rate_ma\"] * 100,\n", + " color=\"#1f77b4\",\n", + " linewidth=2.5,\n", + " label=\"6-month moving average\"\n", + ")\n", + "\n", + "plt.ylabel(\"Rupture rate (%)\")\n", + "plt.xlabel(\"Date\")\n", + "plt.grid(True, linestyle=\"--\", alpha=0.4)\n", + "plt.legend(frameon=False)\n", + "plt.tight_layout()\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "id": "d6ee0c24-e14e-4c40-97d4-49879229790c", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/tmp/ipykernel_1311/1047489516.py:6: FutureWarning:\n", + "\n", + "DataFrameGroupBy.apply operated on the grouping columns. This behavior is deprecated, and in a future version of pandas the grouping columns will be excluded from the operation. Either pass `include_groups=False` to exclude the groupings or explicitly select the grouping columns after groupby to silence this warning.\n", + "\n" + ] + }, + { + "data": { + "text/plain": [ + "has_reset\n", + "True 64192\n", + "False 15545\n", + "Name: count, dtype: int64" + ] + }, + "execution_count": 14, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "EPS = 1e-6 # seuil numérique\n", + "\n", + "reset_candidates = (\n", + " df\n", + " .groupby([\"Registrar Account - ID\", \"Product - Isin\"])\n", + " .apply(\n", + " lambda g: (\n", + " (g[\"Quantity - AUM\"].abs() < EPS) &\n", + " (g[\"expected_stock\"].abs() < EPS)\n", + " ).any()\n", + " )\n", + " .reset_index(name=\"has_reset\")\n", + ")\n", + "\n", + "reset_candidates[\"has_reset\"].value_counts()\n" + ] + }, + { + "cell_type": "code", + "execution_count": 47, + "id": "601f61b8-0115-431d-97de-6ec5a0f1d4f4", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " Before repair After repair Repaired points\n", + "0 756392 22357 18440\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/tmp/ipykernel_1311/3061846510.py:66: FutureWarning:\n", + "\n", + "DataFrameGroupBy.apply operated on the grouping columns. This behavior is deprecated, and in a future version of pandas the grouping columns will be excluded from the operation. Either pass `include_groups=False` to exclude the groupings or explicitly select the grouping columns after groupby to silence this warning.\n", + "\n" + ] + } + ], + "source": [ + "GAP_TOL = 1e-6\n", + "REL_GAP_THR = 0.05\n", + "MIN_PERSISTENCE = 3\n", + "\n", + "df = merged_isin.copy().sort_values(\n", + " [\"Registrar Account - ID\", \"Product - Isin\", \"Centralisation Date\"]\n", + ")\n", + "\n", + "df[\"corrected_aum\"] = df[\"Quantity - AUM\"]\n", + "df[\"repair_flag\"] = False\n", + "\n", + "def repair_group(g):\n", + " g = g.copy()\n", + "\n", + " obs = g[\"Quantity - AUM\"].values\n", + " flows = g[\"Quantity - NetFlows\"].values\n", + "\n", + " corrected = obs.copy()\n", + "\n", + " # Initial expected path\n", + " expected = np.empty_like(obs)\n", + " expected[0] = np.nan\n", + "\n", + " for t in range(1, len(obs)):\n", + " expected[t] = corrected[t-1] + flows[t-1]\n", + "\n", + " gap = obs - expected\n", + " rel_gap = np.abs(gap) / np.maximum(np.abs(expected), 1.0)\n", + "\n", + " idx = None\n", + "\n", + " for i in range(1, len(obs) - MIN_PERSISTENCE):\n", + " if (\n", + " rel_gap[i] > REL_GAP_THR\n", + " and np.all(np.abs(gap[i:i+MIN_PERSISTENCE] - gap[i]) < GAP_TOL)\n", + " and np.all(np.abs(np.diff(flows[i:i+MIN_PERSISTENCE])) < GAP_TOL)\n", + " ):\n", + " idx = i\n", + " break\n", + "\n", + " if idx is None:\n", + " return g\n", + "\n", + " # Apply correction\n", + " shift = gap[idx]\n", + " corrected[idx:] = obs[idx:] - shift\n", + "\n", + " g.loc[g.index[idx]:, \"repair_flag\"] = True\n", + "\n", + " # Rebuild expected stock AFTER correction\n", + " expected_corr = np.empty_like(obs)\n", + " expected_corr[0] = np.nan\n", + "\n", + " for t in range(1, len(obs)):\n", + " expected_corr[t] = corrected[t-1] + flows[t-1]\n", + "\n", + " g[\"corrected_aum\"] = corrected\n", + " g[\"expected_stock_corr\"] = expected_corr\n", + "\n", + " return g\n", + "\n", + "\n", + "df = (\n", + " df\n", + " .groupby([\"Registrar Account - ID\", \"Product - Isin\"], group_keys=False)\n", + " .apply(repair_group)\n", + ")\n", + "\n", + "# Recompute gaps & ruptures\n", + "df[\"gap_before\"] = df[\"Quantity - AUM\"] - df[\"expected_stock\"]\n", + "df[\"gap_after\"] = df[\"corrected_aum\"] - df[\"expected_stock_corr\"]\n", + "\n", + "df[\"rupture_before\"] = df[\"gap_before\"].abs() > GAP_TOL\n", + "df[\"rupture_after\"] = df[\"gap_after\"].abs() > GAP_TOL\n", + "\n", + "summary = pd.DataFrame({\n", + " \"Before repair\": [df[\"rupture_before\"].sum()],\n", + " \"After repair\": [df[\"rupture_after\"].sum()],\n", + " \"Repaired points\": [df[\"repair_flag\"].sum()]\n", + "})\n", + "\n", + "print(summary)" + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "id": "62583cfe-a6e7-4931-a63e-4273dca97ff7", + "metadata": {}, + "outputs": [ + { + "ename": "NameError", + "evalue": "name 'df_final' is not defined", + "output_type": "error", + "traceback": [ + "\u001b[31m---------------------------------------------------------------------------\u001b[39m", + "\u001b[31mNameError\u001b[39m Traceback (most recent call last)", + "\u001b[36mCell\u001b[39m\u001b[36m \u001b[39m\u001b[32mIn[30]\u001b[39m\u001b[32m, line 4\u001b[39m\n\u001b[32m 1\u001b[39m \u001b[38;5;28;01mimport\u001b[39;00m\u001b[38;5;250m \u001b[39m\u001b[34;01mplotly\u001b[39;00m\u001b[34;01m.\u001b[39;00m\u001b[34;01mgraph_objects\u001b[39;00m\u001b[38;5;250m \u001b[39m\u001b[38;5;28;01mas\u001b[39;00m\u001b[38;5;250m \u001b[39m\u001b[34;01mgo\u001b[39;00m\n\u001b[32m 2\u001b[39m \u001b[38;5;28;01mimport\u001b[39;00m\u001b[38;5;250m \u001b[39m\u001b[34;01mpandas\u001b[39;00m\u001b[38;5;250m \u001b[39m\u001b[38;5;28;01mas\u001b[39;00m\u001b[38;5;250m \u001b[39m\u001b[34;01mpd\u001b[39;00m\n\u001b[32m----> \u001b[39m\u001b[32m4\u001b[39m df_final = \u001b[43mdf_final\u001b[49m.rename(columns={\n\u001b[32m 5\u001b[39m \u001b[33m\"\u001b[39m\u001b[33mQuantity - AUM\u001b[39m\u001b[33m\"\u001b[39m: \u001b[33m\"\u001b[39m\u001b[33maum_raw\u001b[39m\u001b[33m\"\u001b[39m,\n\u001b[32m 6\u001b[39m \u001b[33m\"\u001b[39m\u001b[33mcorrected_aum\u001b[39m\u001b[33m\"\u001b[39m: \u001b[33m\"\u001b[39m\u001b[33maum_repaired\u001b[39m\u001b[33m\"\u001b[39m,\n\u001b[32m 7\u001b[39m \u001b[33m\"\u001b[39m\u001b[33mQuantity - NetFlows\u001b[39m\u001b[33m\"\u001b[39m: \u001b[33m\"\u001b[39m\u001b[33mflows\u001b[39m\u001b[33m\"\u001b[39m,\n\u001b[32m 8\u001b[39m \u001b[33m\"\u001b[39m\u001b[33mexpected_stock\u001b[39m\u001b[33m\"\u001b[39m: \u001b[33m\"\u001b[39m\u001b[33mexpected_aum_raw\u001b[39m\u001b[33m\"\u001b[39m,\n\u001b[32m 9\u001b[39m \u001b[33m\"\u001b[39m\u001b[33mexpected_stock_corr\u001b[39m\u001b[33m\"\u001b[39m: \u001b[33m\"\u001b[39m\u001b[33mexpected_aum_repaired\u001b[39m\u001b[33m\"\u001b[39m\n\u001b[32m 10\u001b[39m })\n\u001b[32m 12\u001b[39m df[\u001b[33m\"\u001b[39m\u001b[33mgap_before\u001b[39m\u001b[33m\"\u001b[39m] = df[\u001b[33m\"\u001b[39m\u001b[33mQuantity - AUM\u001b[39m\u001b[33m\"\u001b[39m] - df[\u001b[33m\"\u001b[39m\u001b[33mexpected_stock\u001b[39m\u001b[33m\"\u001b[39m]\n\u001b[32m 13\u001b[39m df[\u001b[33m\"\u001b[39m\u001b[33mgap_after\u001b[39m\u001b[33m\"\u001b[39m] = df[\u001b[33m\"\u001b[39m\u001b[33mcorrected_aum\u001b[39m\u001b[33m\"\u001b[39m] - df[\u001b[33m\"\u001b[39m\u001b[33mexpected_stock_corr\u001b[39m\u001b[33m\"\u001b[39m]\n", + "\u001b[31mNameError\u001b[39m: name 'df_final' is not defined" + ] + } + ], + "source": [ + "import plotly.graph_objects as go\n", + "import pandas as pd\n", + "\n", + "# ============================================================\n", + "# Parameters (fixed epsilon)\n", + "# ============================================================\n", + "GAP_EPS = 100 # fixed tolerance for accounting identity\n", + "\n", + "# ============================================================\n", + "# 1. Define ruptures using a FIXED epsilon\n", + "# ============================================================\n", + "df = df.copy()\n", + "\n", + "df[\"rupture_before\"] = df[\"gap_before\"].abs() > GAP_EPS\n", + "df[\"rupture_after\"] = df[\"gap_after\"].abs() > GAP_EPS\n", + "\n", + "# ============================================================\n", + "# 2. Rupture ratios BEFORE repair\n", + "# ============================================================\n", + "rupture_summary_before = (\n", + " df\n", + " .groupby([\"Registrar Account - ID\", \"Product - Isin\"])\n", + " .agg(\n", + " n_obs=(\"rupture_before\", \"count\"),\n", + " n_ruptures=(\"rupture_before\", \"sum\")\n", + " )\n", + " .reset_index()\n", + ")\n", + "\n", + "rupture_summary_before[\"rupture_ratio\"] = (\n", + " rupture_summary_before[\"n_ruptures\"] /\n", + " rupture_summary_before[\"n_obs\"]\n", + ")\n", + "\n", + "# ============================================================\n", + "# 3. Rupture ratios AFTER repair\n", + "# ============================================================\n", + "rupture_summary_after = (\n", + " df\n", + " .groupby([\"Registrar Account - ID\", \"Product - Isin\"])\n", + " .agg(\n", + " n_obs=(\"rupture_after\", \"count\"),\n", + " n_ruptures=(\"rupture_after\", \"sum\")\n", + " )\n", + " .reset_index()\n", + ")\n", + "\n", + "rupture_summary_after[\"rupture_ratio\"] = (\n", + " rupture_summary_after[\"n_ruptures\"] /\n", + " rupture_summary_after[\"n_obs\"]\n", + ")\n", + "\n", + "# ============================================================\n", + "# 4. Rupture intensity classes (fixed bins)\n", + "# ============================================================\n", + "bins = [0.0, 0.01, 0.10, 0.30, 1.0]\n", + "labels = [\n", + " \"Clean / quasi-clean (≤1%)\",\n", + " \"Moderate (1–10%)\",\n", + " \"High (10–30%)\",\n", + " \"Severe (>30%)\"\n", + "]\n", + "\n", + "rupture_summary_before[\"rupture_class\"] = pd.cut(\n", + " rupture_summary_before[\"rupture_ratio\"],\n", + " bins=bins,\n", + " labels=labels,\n", + " include_lowest=True\n", + ")\n", + "\n", + "rupture_summary_after[\"rupture_class\"] = pd.cut(\n", + " rupture_summary_after[\"rupture_ratio\"],\n", + " bins=bins,\n", + " labels=labels,\n", + " include_lowest=True\n", + ")\n", + "\n", + "# ============================================================\n", + "# 5. Distribution (%)\n", + "# ============================================================\n", + "dist_before = (\n", + " rupture_summary_before[\"rupture_class\"]\n", + " .value_counts(normalize=True)\n", + " .sort_index()\n", + " * 100\n", + ").round(1)\n", + "\n", + "dist_after = (\n", + " rupture_summary_after[\"rupture_class\"]\n", + " .value_counts(normalize=True)\n", + " .sort_index()\n", + " * 100\n", + ").round(1)\n", + "\n", + "# ============================================================\n", + "# 6. Donut chart: BEFORE vs AFTER (fixed epsilon)\n", + "# ============================================================\n", + "fig = go.Figure()\n", + "\n", + "fig.add_trace(go.Pie(\n", + " labels=dist_before.index,\n", + " values=dist_before.values,\n", + " hole=0.45,\n", + " name=\"Before repair\",\n", + " domain=dict(x=[0.0, 0.48]),\n", + " textinfo=\"percent\",\n", + " hoverinfo=\"label+percent\"\n", + "))\n", + "\n", + "fig.add_trace(go.Pie(\n", + " labels=dist_after.index,\n", + " values=dist_after.values,\n", + " hole=0.45,\n", + " name=\"After repair\",\n", + " domain=dict(x=[0.52, 1.0]),\n", + " textinfo=\"percent\",\n", + " hoverinfo=\"label+percent\"\n", + "))\n", + "\n", + "fig.update_layout(\n", + " title=\"Distribution of AUM–flow rupture intensity before vs after repair (fixed ε)\",\n", + " annotations=[\n", + " dict(text=\"Before repair\", x=0.24, y=0.5, showarrow=False),\n", + " dict(text=\"After repair\", x=0.76, y=0.5, showarrow=False),\n", + " ],\n", + " legend=dict(\n", + " orientation=\"h\",\n", + " yanchor=\"top\",\n", + " y=-0.15,\n", + " xanchor=\"center\",\n", + " x=0.5\n", + " ),\n", + " legend_title_text=\"Rupture ratio\"\n", + ")\n", + "\n", + "fig.show()\n" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "id": "70cf0a99-bd19-41a9-9574-88647fde09ca", + "metadata": {}, + "outputs": [ + { + "ename": "KeyError", + "evalue": "\"['Quantity - AUM', 'corrected_aum', 'Quantity - NetFlows', 'expected_stock', 'expected_stock_corr', 'gap_before', 'gap_after'] not in index\"", + "output_type": "error", + "traceback": [ + "\u001b[31m---------------------------------------------------------------------------\u001b[39m", + "\u001b[31mKeyError\u001b[39m Traceback (most recent call last)", + "\u001b[36mCell\u001b[39m\u001b[36m \u001b[39m\u001b[32mIn[31]\u001b[39m\u001b[32m, line 10\u001b[39m\n\u001b[32m 5\u001b[39m df_final = df.copy()\n\u001b[32m 7\u001b[39m \u001b[38;5;66;03m# ------------------------------------------------------------\u001b[39;00m\n\u001b[32m 8\u001b[39m \u001b[38;5;66;03m# Core variables (before / after)\u001b[39;00m\n\u001b[32m 9\u001b[39m \u001b[38;5;66;03m# ------------------------------------------------------------\u001b[39;00m\n\u001b[32m---> \u001b[39m\u001b[32m10\u001b[39m df_final = \u001b[43mdf_final\u001b[49m\u001b[43m[\u001b[49m\u001b[43m[\u001b[49m\n\u001b[32m 11\u001b[39m \u001b[43m \u001b[49m\u001b[33;43m\"\u001b[39;49m\u001b[33;43mRegistrar Account - ID\u001b[39;49m\u001b[33;43m\"\u001b[39;49m\u001b[43m,\u001b[49m\n\u001b[32m 12\u001b[39m \u001b[43m \u001b[49m\u001b[33;43m\"\u001b[39;49m\u001b[33;43mProduct - Isin\u001b[39;49m\u001b[33;43m\"\u001b[39;49m\u001b[43m,\u001b[49m\n\u001b[32m 13\u001b[39m \u001b[43m \u001b[49m\u001b[33;43m\"\u001b[39;49m\u001b[33;43mCentralisation Date\u001b[39;49m\u001b[33;43m\"\u001b[39;49m\u001b[43m,\u001b[49m\n\u001b[32m 14\u001b[39m \u001b[43m \u001b[49m\u001b[33;43m\"\u001b[39;49m\u001b[33;43mQuantity - AUM\u001b[39;49m\u001b[33;43m\"\u001b[39;49m\u001b[43m,\u001b[49m\n\u001b[32m 15\u001b[39m \u001b[43m \u001b[49m\u001b[33;43m\"\u001b[39;49m\u001b[33;43mcorrected_aum\u001b[39;49m\u001b[33;43m\"\u001b[39;49m\u001b[43m,\u001b[49m\n\u001b[32m 16\u001b[39m \u001b[43m \u001b[49m\u001b[33;43m\"\u001b[39;49m\u001b[33;43mQuantity - NetFlows\u001b[39;49m\u001b[33;43m\"\u001b[39;49m\u001b[43m,\u001b[49m\n\u001b[32m 17\u001b[39m \u001b[43m \u001b[49m\u001b[33;43m\"\u001b[39;49m\u001b[33;43mexpected_stock\u001b[39;49m\u001b[33;43m\"\u001b[39;49m\u001b[43m,\u001b[49m\n\u001b[32m 18\u001b[39m \u001b[43m \u001b[49m\u001b[33;43m\"\u001b[39;49m\u001b[33;43mexpected_stock_corr\u001b[39;49m\u001b[33;43m\"\u001b[39;49m\u001b[43m,\u001b[49m\n\u001b[32m 19\u001b[39m \u001b[43m \u001b[49m\u001b[33;43m\"\u001b[39;49m\u001b[33;43mgap_before\u001b[39;49m\u001b[33;43m\"\u001b[39;49m\u001b[43m,\u001b[49m\n\u001b[32m 20\u001b[39m \u001b[43m \u001b[49m\u001b[33;43m\"\u001b[39;49m\u001b[33;43mgap_after\u001b[39;49m\u001b[33;43m\"\u001b[39;49m\u001b[43m,\u001b[49m\n\u001b[32m 21\u001b[39m \u001b[43m \u001b[49m\u001b[33;43m\"\u001b[39;49m\u001b[33;43mrepair_flag\u001b[39;49m\u001b[33;43m\"\u001b[39;49m\n\u001b[32m 22\u001b[39m \u001b[43m]\u001b[49m\u001b[43m]\u001b[49m.rename(columns={\n\u001b[32m 23\u001b[39m \u001b[33m\"\u001b[39m\u001b[33mQuantity - AUM\u001b[39m\u001b[33m\"\u001b[39m: \u001b[33m\"\u001b[39m\u001b[33maum_raw\u001b[39m\u001b[33m\"\u001b[39m,\n\u001b[32m 24\u001b[39m \u001b[33m\"\u001b[39m\u001b[33mcorrected_aum\u001b[39m\u001b[33m\"\u001b[39m: \u001b[33m\"\u001b[39m\u001b[33maum_repaired\u001b[39m\u001b[33m\"\u001b[39m,\n\u001b[32m 25\u001b[39m \u001b[33m\"\u001b[39m\u001b[33mQuantity - NetFlows\u001b[39m\u001b[33m\"\u001b[39m: \u001b[33m\"\u001b[39m\u001b[33mflows\u001b[39m\u001b[33m\"\u001b[39m,\n\u001b[32m 26\u001b[39m \u001b[33m\"\u001b[39m\u001b[33mexpected_stock\u001b[39m\u001b[33m\"\u001b[39m: \u001b[33m\"\u001b[39m\u001b[33mexpected_aum_raw\u001b[39m\u001b[33m\"\u001b[39m,\n\u001b[32m 27\u001b[39m \u001b[33m\"\u001b[39m\u001b[33mexpected_stock_corr\u001b[39m\u001b[33m\"\u001b[39m: \u001b[33m\"\u001b[39m\u001b[33mexpected_aum_repaired\u001b[39m\u001b[33m\"\u001b[39m\n\u001b[32m 28\u001b[39m })\n\u001b[32m 30\u001b[39m \u001b[38;5;66;03m# ------------------------------------------------------------\u001b[39;00m\n\u001b[32m 31\u001b[39m \u001b[38;5;66;03m# Relative gaps\u001b[39;00m\n\u001b[32m 32\u001b[39m \u001b[38;5;66;03m# ------------------------------------------------------------\u001b[39;00m\n\u001b[32m 33\u001b[39m df_final[\u001b[33m\"\u001b[39m\u001b[33mgap_rel_before\u001b[39m\u001b[33m\"\u001b[39m] = (\n\u001b[32m 34\u001b[39m df_final[\u001b[33m\"\u001b[39m\u001b[33mgap_before\u001b[39m\u001b[33m\"\u001b[39m].abs() /\n\u001b[32m 35\u001b[39m df_final[\u001b[33m\"\u001b[39m\u001b[33mexpected_aum_raw\u001b[39m\u001b[33m\"\u001b[39m].abs().clip(lower=\u001b[32m1\u001b[39m)\n\u001b[32m 36\u001b[39m )\n", + "\u001b[36mFile \u001b[39m\u001b[32m/opt/python/lib/python3.13/site-packages/pandas/core/frame.py:4119\u001b[39m, in \u001b[36mDataFrame.__getitem__\u001b[39m\u001b[34m(self, key)\u001b[39m\n\u001b[32m 4117\u001b[39m \u001b[38;5;28;01mif\u001b[39;00m is_iterator(key):\n\u001b[32m 4118\u001b[39m key = \u001b[38;5;28mlist\u001b[39m(key)\n\u001b[32m-> \u001b[39m\u001b[32m4119\u001b[39m indexer = \u001b[38;5;28;43mself\u001b[39;49m\u001b[43m.\u001b[49m\u001b[43mcolumns\u001b[49m\u001b[43m.\u001b[49m\u001b[43m_get_indexer_strict\u001b[49m\u001b[43m(\u001b[49m\u001b[43mkey\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[33;43m\"\u001b[39;49m\u001b[33;43mcolumns\u001b[39;49m\u001b[33;43m\"\u001b[39;49m\u001b[43m)\u001b[49m[\u001b[32m1\u001b[39m]\n\u001b[32m 4121\u001b[39m \u001b[38;5;66;03m# take() does not accept boolean indexers\u001b[39;00m\n\u001b[32m 4122\u001b[39m \u001b[38;5;28;01mif\u001b[39;00m \u001b[38;5;28mgetattr\u001b[39m(indexer, \u001b[33m\"\u001b[39m\u001b[33mdtype\u001b[39m\u001b[33m\"\u001b[39m, \u001b[38;5;28;01mNone\u001b[39;00m) == \u001b[38;5;28mbool\u001b[39m:\n", + "\u001b[36mFile \u001b[39m\u001b[32m/opt/python/lib/python3.13/site-packages/pandas/core/indexes/base.py:6212\u001b[39m, in \u001b[36mIndex._get_indexer_strict\u001b[39m\u001b[34m(self, key, axis_name)\u001b[39m\n\u001b[32m 6209\u001b[39m \u001b[38;5;28;01melse\u001b[39;00m:\n\u001b[32m 6210\u001b[39m keyarr, indexer, new_indexer = \u001b[38;5;28mself\u001b[39m._reindex_non_unique(keyarr)\n\u001b[32m-> \u001b[39m\u001b[32m6212\u001b[39m \u001b[38;5;28;43mself\u001b[39;49m\u001b[43m.\u001b[49m\u001b[43m_raise_if_missing\u001b[49m\u001b[43m(\u001b[49m\u001b[43mkeyarr\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mindexer\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43maxis_name\u001b[49m\u001b[43m)\u001b[49m\n\u001b[32m 6214\u001b[39m keyarr = \u001b[38;5;28mself\u001b[39m.take(indexer)\n\u001b[32m 6215\u001b[39m \u001b[38;5;28;01mif\u001b[39;00m \u001b[38;5;28misinstance\u001b[39m(key, Index):\n\u001b[32m 6216\u001b[39m \u001b[38;5;66;03m# GH 42790 - Preserve name from an Index\u001b[39;00m\n", + "\u001b[36mFile \u001b[39m\u001b[32m/opt/python/lib/python3.13/site-packages/pandas/core/indexes/base.py:6264\u001b[39m, in \u001b[36mIndex._raise_if_missing\u001b[39m\u001b[34m(self, key, indexer, axis_name)\u001b[39m\n\u001b[32m 6261\u001b[39m \u001b[38;5;28;01mraise\u001b[39;00m \u001b[38;5;167;01mKeyError\u001b[39;00m(\u001b[33mf\u001b[39m\u001b[33m\"\u001b[39m\u001b[33mNone of [\u001b[39m\u001b[38;5;132;01m{\u001b[39;00mkey\u001b[38;5;132;01m}\u001b[39;00m\u001b[33m] are in the [\u001b[39m\u001b[38;5;132;01m{\u001b[39;00maxis_name\u001b[38;5;132;01m}\u001b[39;00m\u001b[33m]\u001b[39m\u001b[33m\"\u001b[39m)\n\u001b[32m 6263\u001b[39m not_found = \u001b[38;5;28mlist\u001b[39m(ensure_index(key)[missing_mask.nonzero()[\u001b[32m0\u001b[39m]].unique())\n\u001b[32m-> \u001b[39m\u001b[32m6264\u001b[39m \u001b[38;5;28;01mraise\u001b[39;00m \u001b[38;5;167;01mKeyError\u001b[39;00m(\u001b[33mf\u001b[39m\u001b[33m\"\u001b[39m\u001b[38;5;132;01m{\u001b[39;00mnot_found\u001b[38;5;132;01m}\u001b[39;00m\u001b[33m not in index\u001b[39m\u001b[33m\"\u001b[39m)\n", + "\u001b[31mKeyError\u001b[39m: \"['Quantity - AUM', 'corrected_aum', 'Quantity - NetFlows', 'expected_stock', 'expected_stock_corr', 'gap_before', 'gap_after'] not in index\"" + ] + } + ], + "source": [ + "# ============================================================\n", + "# FINAL DATASETS AFTER REPAIR\n", + "# ============================================================\n", + "\n", + "df_final = df.copy()\n", + "\n", + "# ------------------------------------------------------------\n", + "# Core variables (before / after)\n", + "# ------------------------------------------------------------\n", + "df_final = df_final[[\n", + " \"Registrar Account - ID\",\n", + " \"Product - Isin\",\n", + " \"Centralisation Date\",\n", + " \"Quantity - AUM\",\n", + " \"corrected_aum\",\n", + " \"Quantity - NetFlows\",\n", + " \"expected_stock\",\n", + " \"expected_stock_corr\",\n", + " \"gap_before\",\n", + " \"gap_after\",\n", + " \"repair_flag\"\n", + "]].rename(columns={\n", + " \"Quantity - AUM\": \"aum_raw\",\n", + " \"corrected_aum\": \"aum_repaired\",\n", + " \"Quantity - NetFlows\": \"flows\",\n", + " \"expected_stock\": \"expected_aum_raw\",\n", + " \"expected_stock_corr\": \"expected_aum_repaired\"\n", + "})\n", + "\n", + "# ------------------------------------------------------------\n", + "# Relative gaps\n", + "# ------------------------------------------------------------\n", + "df_final[\"gap_rel_before\"] = (\n", + " df_final[\"gap_before\"].abs() /\n", + " df_final[\"expected_aum_raw\"].abs().clip(lower=1)\n", + ")\n", + "\n", + "df_final[\"gap_rel_after\"] = (\n", + " df_final[\"gap_after\"].abs() /\n", + " df_final[\"expected_aum_repaired\"].abs().clip(lower=1)\n", + ")\n", + "df_final.to_csv('df_repaired.csv')" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "befb2962-73fb-4cb8-b86e-3218ec103204", + "metadata": {}, + "outputs": [], + "source": [ + "# ============================================================\n", + "# TYPE 3 REPAIR — TEMPORARY RESET TO ZERO (ONE BLOCK)\n", + "# ============================================================\n", + "\n", + "df_type3 = df_repaired.copy()\n", + "df_type3 = df_type3.sort_values(\n", + " [\"Registrar Account - ID\", \"Product - Isin\", \"Centralisation Date\"]\n", + ")\n", + "\n", + "# Create lead/lag variables\n", + "df_type3[\"aum_prev\"] = df_type3.groupby(\n", + " [\"Registrar Account - ID\", \"Product - Isin\"]\n", + ")[\"Quantity - AUM\"].shift(1)\n", + "\n", + "df_type3[\"aum_next\"] = df_type3.groupby(\n", + " [\"Registrar Account - ID\", \"Product - Isin\"]\n", + ")[\"Quantity - AUM\"].shift(-1)\n", + "\n", + "df_type3[\"flow_prev\"] = df_type3.groupby(\n", + " [\"Registrar Account - ID\", \"Product - Isin\"]\n", + ")[\"Quantity - NetFlows\"].shift(1)\n", + "\n", + "df_type3[\"flow_next\"] = df_type3.groupby(\n", + " [\"Registrar Account - ID\", \"Product - Isin\"]\n", + ")[\"Quantity - NetFlows\"].shift(-1)\n", + "\n", + "# ------------------------------------------------------------\n", + "# Detection of temporary reset\n", + "# ------------------------------------------------------------\n", + "df_type3[\"type3_flag\"] = (\n", + " (df_type3[\"Quantity - AUM\"] == 0)\n", + " & (df_type3[\"aum_prev\"] > 0)\n", + " & (df_type3[\"aum_next\"] == df_type3[\"aum_prev\"])\n", + " & (df_type3[\"flow_prev\"].fillna(0) == 0)\n", + " & (df_type3[\"Quantity - NetFlows\"] == 0)\n", + " & (df_type3[\"flow_next\"].fillna(0) == 0)\n", + ")\n", + "\n", + "# ------------------------------------------------------------\n", + "# Repair: smooth the glitch (replace 0 by previous stock)\n", + "# ------------------------------------------------------------\n", + "df_type3.loc[df_type3[\"type3_flag\"], \"Quantity - AUM\"] = (\n", + " df_type3.loc[df_type3[\"type3_flag\"], \"aum_prev\"]\n", + ")\n", + "\n", + "# ------------------------------------------------------------\n", + "# Recompute temporal chain AFTER repair\n", + "# ------------------------------------------------------------\n", + "df_type3[\"prev_stock\"] = df_type3.groupby(\n", + " [\"Registrar Account - ID\", \"Product - Isin\"]\n", + ")[\"Quantity - AUM\"].shift(1)\n", + "\n", + "df_type3[\"prev_flows\"] = df_type3.groupby(\n", + " [\"Registrar Account - ID\", \"Product - Isin\"]\n", + ")[\"Quantity - NetFlows\"].shift(1).fillna(0)\n", + "\n", + "df_type3[\"expected_stock\"] = (\n", + " df_type3[\"prev_stock\"] + df_type3[\"prev_flows\"]\n", + ")\n", + "\n", + "df_type3[\"gap\"] = df_type3[\"Quantity - AUM\"] - df_type3[\"expected_stock\"]\n", + "df_type3[\"gap_abs\"] = df_type3[\"gap\"].abs()\n", + "df_type3[\"gap_rel\"] = (\n", + " df_type3[\"gap_abs\"] /\n", + " df_type3[\"expected_stock\"].abs().clip(lower=1)\n", + ")\n", + "\n", + "df_type3[\"rupture_flag\"] = (\n", + " df_type3[\"prev_stock\"].notna()\n", + " & (df_type3[\"gap_abs\"] > TAU_ABS)\n", + " & (df_type3[\"gap_rel\"] > TAU_REL)\n", + ")\n", + "\n", + "# ------------------------------------------------------------\n", + "# Diagnostic output\n", + "# ------------------------------------------------------------\n", + "n_type3 = df_type3[\"type3_flag\"].sum()\n", + "print(f\"Temporary reset glitches repaired (Type 3): {n_type3}\")\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "1fc44ed4-829f-4a8a-985a-31350bdbdf6d", + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "import pandas as pd\n", + "\n", + "# ------------------------------------------------------------\n", + "# 1. Sélection des ISIN avec exactement 1 rupture\n", + "# ------------------------------------------------------------\n", + "one_rupture_isin = rupture_isin_summary[\n", + " rupture_isin_summary[\"n_ruptures\"] == 1\n", + "][[\"Registrar Account - ID\", \"Product - Isin\"]].head(100)\n", + "\n", + "results = []\n", + "\n", + "# ------------------------------------------------------------\n", + "# 2. Boucle de correction test\n", + "# ------------------------------------------------------------\n", + "for _, row in one_rupture_isin.iterrows():\n", + " acc = row[\"Registrar Account - ID\"]\n", + " isin = row[\"Product - Isin\"]\n", + "\n", + " sub = df[\n", + " (df[\"Registrar Account - ID\"] == acc) &\n", + " (df[\"Product - Isin\"] == isin)\n", + " ].sort_values(\"Centralisation Date\").copy()\n", + "\n", + " # Localiser la rupture\n", + " rupture_idx = sub.index[sub[\"rupture_flag\"]]\n", + "\n", + " if sub.index.get_loc(rupture_idx[0]) > 1:\n", + " #print(sub[[\"Centralisation Date\", \"Quantity - AUM\", \"expected_stock\", \"gap\", \"rupture_flag\"]].head(100))\n", + " continue\n", + "\n", + " # Vérifier si la rupture est à la première date\n", + " first_idx = sub.index[0]\n", + " if rupture_idx[0] != first_idx:\n", + " continue\n", + "\n", + " # ----- Réparation : décaler expected_stock -----\n", + " sub[\"expected_stock_fixed\"] = sub[\"expected_stock\"].shift(-1)\n", + "\n", + " # Recalcul des gaps\n", + " sub[\"gap_fixed\"] = sub[\"Quantity - AUM\"] - sub[\"expected_stock_fixed\"]\n", + " sub[\"gap_abs_fixed\"] = sub[\"gap_fixed\"].abs()\n", + " sub[\"gap_rel_fixed\"] = sub[\"gap_abs_fixed\"] / sub[\"expected_stock_fixed\"].abs().clip(lower=1)\n", + "\n", + " # Recalcul rupture\n", + " sub[\"rupture_fixed\"] = (\n", + " sub[\"expected_stock_fixed\"].notna()\n", + " & (sub[\"gap_abs_fixed\"] > TAU_ABS)\n", + " & (sub[\"gap_rel_fixed\"] > TAU_REL)\n", + " )\n", + "\n", + " results.append({\n", + " \"Registrar Account - ID\": acc,\n", + " \"Product - Isin\": isin,\n", + " \"ruptures_before\": sub[\"rupture_flag\"].sum(),\n", + " \"ruptures_after\": sub[\"rupture_fixed\"].sum()\n", + " })\n", + "\n", + "# ------------------------------------------------------------\n", + "# 3. Résultats agrégés\n", + "# ------------------------------------------------------------\n", + "repair_test = pd.DataFrame(results)\n", + "\n", + "summary = repair_test.groupby(\n", + " [\"ruptures_before\", \"ruptures_after\"]\n", + ").size().reset_index(name=\"count\")\n", + "\n", + "repair_test, summary\n" + ] + }, + { + "cell_type": "code", + "execution_count": 50, + "id": "d85728ca-55ba-4266-b881-23536eee4ba3", + "metadata": {}, + "outputs": [ + { + "ename": "KeyError", + "evalue": "\"['corrected_aum'] not in index\"", + "output_type": "error", + "traceback": [ + "\u001b[31m---------------------------------------------------------------------------\u001b[39m", + "\u001b[31mKeyError\u001b[39m Traceback (most recent call last)", + "\u001b[36mCell\u001b[39m\u001b[36m \u001b[39m\u001b[32mIn[50]\u001b[39m\u001b[32m, line 16\u001b[39m\n\u001b[32m 10\u001b[39m stocks_repaired[\u001b[33m\"\u001b[39m\u001b[33mCentralisation Date\u001b[39m\u001b[33m\"\u001b[39m] = pd.to_datetime(\n\u001b[32m 11\u001b[39m stocks_repaired[\u001b[33m\"\u001b[39m\u001b[33mCentralisation Date\u001b[39m\u001b[33m\"\u001b[39m]\n\u001b[32m 12\u001b[39m )\n\u001b[32m 14\u001b[39m \u001b[38;5;66;03m# 2. Build repair map\u001b[39;00m\n\u001b[32m 15\u001b[39m repair_map = (\n\u001b[32m---> \u001b[39m\u001b[32m16\u001b[39m \u001b[43mdf\u001b[49m\u001b[43m[\u001b[49m\u001b[43m[\u001b[49m\n\u001b[32m 17\u001b[39m \u001b[43m \u001b[49m\u001b[33;43m\"\u001b[39;49m\u001b[33;43mRegistrar Account - ID\u001b[39;49m\u001b[33;43m\"\u001b[39;49m\u001b[43m,\u001b[49m\n\u001b[32m 18\u001b[39m \u001b[43m \u001b[49m\u001b[33;43m\"\u001b[39;49m\u001b[33;43mProduct - Isin\u001b[39;49m\u001b[33;43m\"\u001b[39;49m\u001b[43m,\u001b[49m\n\u001b[32m 19\u001b[39m \u001b[43m \u001b[49m\u001b[33;43m\"\u001b[39;49m\u001b[33;43mCentralisation Date\u001b[39;49m\u001b[33;43m\"\u001b[39;49m\u001b[43m,\u001b[49m\n\u001b[32m 20\u001b[39m \u001b[43m \u001b[49m\u001b[33;43m\"\u001b[39;49m\u001b[33;43mcorrected_aum\u001b[39;49m\u001b[33;43m\"\u001b[39;49m\u001b[43m,\u001b[49m\n\u001b[32m 21\u001b[39m \u001b[43m \u001b[49m\u001b[33;43m\"\u001b[39;49m\u001b[33;43mrepair_flag\u001b[39;49m\u001b[33;43m\"\u001b[39;49m\n\u001b[32m 22\u001b[39m \u001b[43m \u001b[49m\u001b[43m]\u001b[49m\u001b[43m]\u001b[49m\n\u001b[32m 23\u001b[39m .rename(columns={\u001b[33m\"\u001b[39m\u001b[33mcorrected_aum\u001b[39m\u001b[33m\"\u001b[39m: \u001b[33m\"\u001b[39m\u001b[33mQuantity - AUM repaired\u001b[39m\u001b[33m\"\u001b[39m})\n\u001b[32m 24\u001b[39m )\n\u001b[32m 26\u001b[39m \u001b[38;5;66;03m# 3. Merge repaired quantities\u001b[39;00m\n\u001b[32m 27\u001b[39m stocks_repaired = stocks_repaired.merge(\n\u001b[32m 28\u001b[39m repair_map,\n\u001b[32m 29\u001b[39m on=[\u001b[33m\"\u001b[39m\u001b[33mRegistrar Account - ID\u001b[39m\u001b[33m\"\u001b[39m, \u001b[33m\"\u001b[39m\u001b[33mProduct - Isin\u001b[39m\u001b[33m\"\u001b[39m, \u001b[33m\"\u001b[39m\u001b[33mCentralisation Date\u001b[39m\u001b[33m\"\u001b[39m],\n\u001b[32m 30\u001b[39m how=\u001b[33m\"\u001b[39m\u001b[33mleft\u001b[39m\u001b[33m\"\u001b[39m\n\u001b[32m 31\u001b[39m )\n", + "\u001b[36mFile \u001b[39m\u001b[32m/opt/python/lib/python3.13/site-packages/pandas/core/frame.py:4119\u001b[39m, in \u001b[36mDataFrame.__getitem__\u001b[39m\u001b[34m(self, key)\u001b[39m\n\u001b[32m 4117\u001b[39m \u001b[38;5;28;01mif\u001b[39;00m is_iterator(key):\n\u001b[32m 4118\u001b[39m key = \u001b[38;5;28mlist\u001b[39m(key)\n\u001b[32m-> \u001b[39m\u001b[32m4119\u001b[39m indexer = \u001b[38;5;28;43mself\u001b[39;49m\u001b[43m.\u001b[49m\u001b[43mcolumns\u001b[49m\u001b[43m.\u001b[49m\u001b[43m_get_indexer_strict\u001b[49m\u001b[43m(\u001b[49m\u001b[43mkey\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[33;43m\"\u001b[39;49m\u001b[33;43mcolumns\u001b[39;49m\u001b[33;43m\"\u001b[39;49m\u001b[43m)\u001b[49m[\u001b[32m1\u001b[39m]\n\u001b[32m 4121\u001b[39m \u001b[38;5;66;03m# take() does not accept boolean indexers\u001b[39;00m\n\u001b[32m 4122\u001b[39m \u001b[38;5;28;01mif\u001b[39;00m \u001b[38;5;28mgetattr\u001b[39m(indexer, \u001b[33m\"\u001b[39m\u001b[33mdtype\u001b[39m\u001b[33m\"\u001b[39m, \u001b[38;5;28;01mNone\u001b[39;00m) == \u001b[38;5;28mbool\u001b[39m:\n", + "\u001b[36mFile \u001b[39m\u001b[32m/opt/python/lib/python3.13/site-packages/pandas/core/indexes/base.py:6212\u001b[39m, in \u001b[36mIndex._get_indexer_strict\u001b[39m\u001b[34m(self, key, axis_name)\u001b[39m\n\u001b[32m 6209\u001b[39m \u001b[38;5;28;01melse\u001b[39;00m:\n\u001b[32m 6210\u001b[39m keyarr, indexer, new_indexer = \u001b[38;5;28mself\u001b[39m._reindex_non_unique(keyarr)\n\u001b[32m-> \u001b[39m\u001b[32m6212\u001b[39m \u001b[38;5;28;43mself\u001b[39;49m\u001b[43m.\u001b[49m\u001b[43m_raise_if_missing\u001b[49m\u001b[43m(\u001b[49m\u001b[43mkeyarr\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mindexer\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43maxis_name\u001b[49m\u001b[43m)\u001b[49m\n\u001b[32m 6214\u001b[39m keyarr = \u001b[38;5;28mself\u001b[39m.take(indexer)\n\u001b[32m 6215\u001b[39m \u001b[38;5;28;01mif\u001b[39;00m \u001b[38;5;28misinstance\u001b[39m(key, Index):\n\u001b[32m 6216\u001b[39m \u001b[38;5;66;03m# GH 42790 - Preserve name from an Index\u001b[39;00m\n", + "\u001b[36mFile \u001b[39m\u001b[32m/opt/python/lib/python3.13/site-packages/pandas/core/indexes/base.py:6264\u001b[39m, in \u001b[36mIndex._raise_if_missing\u001b[39m\u001b[34m(self, key, indexer, axis_name)\u001b[39m\n\u001b[32m 6261\u001b[39m \u001b[38;5;28;01mraise\u001b[39;00m \u001b[38;5;167;01mKeyError\u001b[39;00m(\u001b[33mf\u001b[39m\u001b[33m\"\u001b[39m\u001b[33mNone of [\u001b[39m\u001b[38;5;132;01m{\u001b[39;00mkey\u001b[38;5;132;01m}\u001b[39;00m\u001b[33m] are in the [\u001b[39m\u001b[38;5;132;01m{\u001b[39;00maxis_name\u001b[38;5;132;01m}\u001b[39;00m\u001b[33m]\u001b[39m\u001b[33m\"\u001b[39m)\n\u001b[32m 6263\u001b[39m not_found = \u001b[38;5;28mlist\u001b[39m(ensure_index(key)[missing_mask.nonzero()[\u001b[32m0\u001b[39m]].unique())\n\u001b[32m-> \u001b[39m\u001b[32m6264\u001b[39m \u001b[38;5;28;01mraise\u001b[39;00m \u001b[38;5;167;01mKeyError\u001b[39;00m(\u001b[33mf\u001b[39m\u001b[33m\"\u001b[39m\u001b[38;5;132;01m{\u001b[39;00mnot_found\u001b[38;5;132;01m}\u001b[39;00m\u001b[33m not in index\u001b[39m\u001b[33m\"\u001b[39m)\n", + "\u001b[31mKeyError\u001b[39m: \"['corrected_aum'] not in index\"" + ] + } + ], + "source": [ + "import pandas as pd\n", + "import numpy as np\n", + "\n", + "# ============================================================\n", + "# Rebuild STOCKS dataset using repaired AUM quantities\n", + "# ============================================================\n", + "\n", + "# 1. Copy original stocks\n", + "stocks_repaired = stocks.copy()\n", + "stocks_repaired[\"Centralisation Date\"] = pd.to_datetime(\n", + " stocks_repaired[\"Centralisation Date\"]\n", + ")\n", + "\n", + "# 2. Build repair map\n", + "repair_map = (\n", + " df[[\n", + " \"Registrar Account - ID\",\n", + " \"Product - Isin\",\n", + " \"Centralisation Date\",\n", + " \"corrected_aum\",\n", + " \"repair_flag\"\n", + " ]]\n", + " .rename(columns={\"corrected_aum\": \"Quantity - AUM repaired\"})\n", + ")\n", + "\n", + "# 3. Merge repaired quantities\n", + "stocks_repaired = stocks_repaired.merge(\n", + " repair_map,\n", + " on=[\"Registrar Account - ID\", \"Product - Isin\", \"Centralisation Date\"],\n", + " how=\"left\"\n", + ")\n", + "\n", + "# 4. Store original quantity\n", + "stocks_repaired[\"Quantity - AUM original\"] = stocks_repaired[\"Quantity - AUM\"]\n", + "\n", + "# 5. Replace Quantity - AUM where repaired\n", + "stocks_repaired[\"Quantity - AUM\"] = np.where(\n", + " stocks_repaired[\"repair_flag\"] == True,\n", + " stocks_repaired[\"Quantity - AUM repaired\"],\n", + " stocks_repaired[\"Quantity - AUM\"]\n", + ")\n", + "\n", + "# 6. Recompute monetary values (unit value unchanged)\n", + "stocks_repaired[\"nav_ccy\"] = (\n", + " stocks_repaired[\"Value - AUM CCY\"] /\n", + " stocks_repaired[\"Quantity - AUM original\"]\n", + ")\n", + "\n", + "stocks_repaired[\"nav_eur\"] = (\n", + " stocks_repaired[\"Value - AUM €\"] /\n", + " stocks_repaired[\"Quantity - AUM original\"]\n", + ")\n", + "\n", + "stocks_repaired[\"Value - AUM CCY\"] = (\n", + " stocks_repaired[\"Quantity - AUM\"] *\n", + " stocks_repaired[\"nav_ccy\"]\n", + ")\n", + "\n", + "stocks_repaired[\"Value - AUM €\"] = (\n", + " stocks_repaired[\"Quantity - AUM\"] *\n", + " stocks_repaired[\"nav_eur\"]\n", + ")\n", + "\n", + "# 7. Cleanup helper columns\n", + "stocks_repaired = stocks_repaired.drop(\n", + " columns=[\n", + " \"Quantity - AUM repaired\",\n", + " \"Quantity - AUM original\",\n", + " \"nav_ccy\",\n", + " \"nav_eur\"\n", + " ]\n", + ")\n", + "\n", + "# ============================================================\n", + "# Sanity checks (CORRECT WAY)\n", + "# ============================================================\n", + "\n", + "# Share of observations repaired\n", + "repair_share = stocks_repaired[\"repair_flag\"].mean()\n", + "\n", + "# Ensure only repaired points were modified\n", + "n_modified = stocks_repaired[\"repair_flag\"].sum()\n", + "\n", + "print(f\"Share of repaired observations: {repair_share:.4%}\")\n", + "print(f\"Number of repaired rows: {n_modified:,}\")\n", + "\n", + "stocks_repaired.to_csv('AUM_repaired.csv')" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "5f262605-49e8-4304-b11e-38c8bcfc6e3f", + "metadata": {}, + "outputs": [], + "source": [ + "print(stocks[\"Registrar Account - ID\"].nunique())\n", + "print(df[\"Registrar Account - ID\"].nunique())" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "37e9b599-aa51-4e03-b23c-2dd24e77fe38", + "metadata": {}, + "outputs": [], + "source": [ + "import pandas as pd\n", + "\n", + "df = pd.read_csv(\"AUM_repaired.csv\")\n", + "\n", + "print(df.columns)" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "id": "5cfb4526-7435-4e4a-ae48-0a8d40e39d81", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/tmp/ipykernel_1311/55327206.py:8: DtypeWarning:\n", + "\n", + "Columns (1,2,3,4) have mixed types. Specify dtype option on import or set low_memory=False.\n", + "\n", + "/tmp/ipykernel_1311/55327206.py:9: DtypeWarning:\n", + "\n", + "Columns (2,3,4,5) have mixed types. Specify dtype option on import or set low_memory=False.\n", + "\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Merged dataset size: (9033269, 6)\n", + "\n", + "NUMBER OF MODIFIED OBSERVATIONS: 2263602\n", + "Share modified: 25.06 %\n", + "\n", + "NEGATIVE AUM\n", + "Before repair: 34374\n", + "After repair : 36320\n", + "\n", + "RAW AUM DISTRIBUTION\n", + "count 9.033269e+06\n", + "mean 9.106935e+03\n", + "std 1.915018e+05\n", + "min -9.918641e+06\n", + "25% 0.000000e+00\n", + "50% 0.000000e+00\n", + "75% 3.091340e+02\n", + "max 4.256300e+07\n", + "Name: Quantity - AUM_raw, dtype: float64\n", + "\n", + "REPAIRED AUM DISTRIBUTION\n", + "count 9.033269e+06\n", + "mean 9.104329e+03\n", + "std 1.914988e+05\n", + "min -9.918641e+06\n", + "25% 0.000000e+00\n", + "50% 0.000000e+00\n", + "75% 3.088430e+02\n", + "max 4.256300e+07\n", + "Name: Quantity - AUM_repaired, dtype: float64\n", + "\n", + "TOTAL AUM\n", + "Raw total : 82265397351.45718\n", + "Repaired total : 82241848877.5126\n", + "\n", + "TOP 20 AUM CHANGES\n", + " Registrar Account - ID Product - Isin Centralisation Date \\\n", + "8532368 OFF DISTRIBUTION LU0992627611 2021-12-31 \n", + "8532369 OFF DISTRIBUTION LU0992627611 2021-12-31 \n", + "8532370 OFF DISTRIBUTION LU0992627611 2021-12-31 \n", + "8477988 OFF DISTRIBUTION LU0992627611 2021-12-31 \n", + "8477987 OFF DISTRIBUTION LU0992627611 2021-12-31 \n", + "8477986 OFF DISTRIBUTION LU0992627611 2021-12-31 \n", + "8477989 OFF DISTRIBUTION LU0992627611 2021-12-31 \n", + "8532371 OFF DISTRIBUTION LU0992627611 2021-12-31 \n", + "8477994 OFF DISTRIBUTION LU0992627611 2021-12-31 \n", + "8477996 OFF DISTRIBUTION LU0992627611 2021-12-31 \n", + "8477997 OFF DISTRIBUTION LU0992627611 2021-12-31 \n", + "8928641 OFF DISTRIBUTION LU0992627611 2021-12-31 \n", + "8928642 OFF DISTRIBUTION LU0992627611 2021-12-31 \n", + "8928643 OFF DISTRIBUTION LU0992627611 2021-12-31 \n", + "8928644 OFF DISTRIBUTION LU0992627611 2021-12-31 \n", + "8477995 OFF DISTRIBUTION LU0992627611 2021-12-31 \n", + "8532359 OFF DISTRIBUTION LU0992627611 2021-11-30 \n", + "8713983 OFF DISTRIBUTION LU0992627611 2021-11-30 \n", + "8713984 OFF DISTRIBUTION LU0992627611 2021-11-30 \n", + "8532357 OFF DISTRIBUTION LU0992627611 2021-11-30 \n", + "\n", + " Quantity - AUM_raw Quantity - AUM_repaired aum_diff \n", + "8532368 41251.971 5298781.613 5257529.642 \n", + "8532369 41251.971 5298781.613 5257529.642 \n", + "8532370 41251.971 5298781.613 5257529.642 \n", + "8477988 5298781.613 41251.971 -5257529.642 \n", + "8477987 5298781.613 41251.971 -5257529.642 \n", + "8477986 5298781.613 41251.971 -5257529.642 \n", + "8477989 5298781.613 41251.971 -5257529.642 \n", + "8532371 41251.971 5298781.613 5257529.642 \n", + "8477994 5298781.613 128141.894 -5170639.719 \n", + "8477996 5298781.613 128141.894 -5170639.719 \n", + "8477997 5298781.613 128141.894 -5170639.719 \n", + "8928641 128141.894 5298781.613 5170639.719 \n", + "8928642 128141.894 5298781.613 5170639.719 \n", + "8928643 128141.894 5298781.613 5170639.719 \n", + "8928644 128141.894 5298781.613 5170639.719 \n", + "8477995 5298781.613 128141.894 -5170639.719 \n", + "8532359 41251.971 5059704.980 5018453.009 \n", + "8713983 5059704.980 41251.971 -5018453.009 \n", + "8713984 5059704.980 41251.971 -5018453.009 \n", + "8532357 41251.971 5059704.980 5018453.009 \n", + "\n", + "ISIN WITH MOST MODIFICATIONS\n", + "Product - Isin\n", + "LU1623762769 0.535539\n", + "LU2490324410 0.525588\n", + "FR0013516044 0.524862\n", + "LU2931971050 0.500000\n", + "LU2931971217 0.500000\n", + "FR001400TVB3 0.500000\n", + "FR001400TU23 0.500000\n", + "FR00140139F6 0.500000\n", + "FR001400TVD9 0.500000\n", + "LU2931971134 0.500000\n", + "Name: aum_diff, dtype: float64\n", + "\n", + "REPAIR FLAG ERRORS: 2260454\n", + "\n", + "==============================\n", + "COMPARISON COMPLETED\n", + "==============================\n" + ] + } + ], + "source": [ + "import pandas as pd\n", + "import numpy as np\n", + "\n", + "# ============================================================\n", + "# LOAD DATA\n", + "# ============================================================\n", + "\n", + "aum_raw = pd.read_csv(\"stocks.csv\") # fichier original\n", + "aum_rep = pd.read_csv(\"AUM_repaired.csv\") # fichier réparé\n", + "\n", + "aum_raw[\"Centralisation Date\"] = pd.to_datetime(aum_raw[\"Centralisation Date\"])\n", + "aum_rep[\"Centralisation Date\"] = pd.to_datetime(aum_rep[\"Centralisation Date\"])\n", + "\n", + "\n", + "# ============================================================\n", + "# KEEP SAME KEYS\n", + "# ============================================================\n", + "\n", + "keys = [\n", + " \"Registrar Account - ID\",\n", + " \"Product - Isin\",\n", + " \"Centralisation Date\"\n", + "]\n", + "\n", + "aum_raw = aum_raw[keys + [\"Quantity - AUM\"]]\n", + "aum_rep = aum_rep[keys + [\"Quantity - AUM\", \"repair_flag\"]]\n", + "\n", + "\n", + "# ============================================================\n", + "# MERGE DATASETS\n", + "# ============================================================\n", + "\n", + "df = aum_raw.merge(\n", + " aum_rep,\n", + " on=keys,\n", + " how=\"inner\",\n", + " suffixes=(\"_raw\", \"_repaired\")\n", + ")\n", + "\n", + "print(\"Merged dataset size:\", df.shape)\n", + "\n", + "\n", + "# ============================================================\n", + "# 1. HOW MANY VALUES CHANGED\n", + "# ============================================================\n", + "\n", + "df[\"aum_diff\"] = df[\"Quantity - AUM_repaired\"] - df[\"Quantity - AUM_raw\"]\n", + "\n", + "n_changed = (df[\"aum_diff\"] != 0).sum()\n", + "\n", + "print(\"\\nNUMBER OF MODIFIED OBSERVATIONS:\", n_changed)\n", + "print(\"Share modified:\", round(n_changed / len(df) * 100, 2), \"%\")\n", + "\n", + "\n", + "# ============================================================\n", + "# 2. NEGATIVE AUM BEFORE / AFTER\n", + "# ============================================================\n", + "\n", + "neg_before = (df[\"Quantity - AUM_raw\"] < 0).sum()\n", + "neg_after = (df[\"Quantity - AUM_repaired\"] < 0).sum()\n", + "\n", + "print(\"\\nNEGATIVE AUM\")\n", + "print(\"Before repair:\", neg_before)\n", + "print(\"After repair :\", neg_after)\n", + "\n", + "\n", + "# ============================================================\n", + "# 3. DISTRIBUTION COMPARISON\n", + "# ============================================================\n", + "\n", + "print(\"\\nRAW AUM DISTRIBUTION\")\n", + "print(df[\"Quantity - AUM_raw\"].describe())\n", + "\n", + "print(\"\\nREPAIRED AUM DISTRIBUTION\")\n", + "print(df[\"Quantity - AUM_repaired\"].describe())\n", + "\n", + "\n", + "# ============================================================\n", + "# 4. TOTAL AUM COMPARISON\n", + "# ============================================================\n", + "\n", + "print(\"\\nTOTAL AUM\")\n", + "\n", + "print(\"Raw total :\", df[\"Quantity - AUM_raw\"].sum())\n", + "print(\"Repaired total :\", df[\"Quantity - AUM_repaired\"].sum())\n", + "\n", + "\n", + "# ============================================================\n", + "# 5. LARGEST MODIFICATIONS\n", + "# ============================================================\n", + "\n", + "largest_changes = df.sort_values(\n", + " \"aum_diff\",\n", + " key=lambda x: x.abs(),\n", + " ascending=False\n", + ").head(20)\n", + "\n", + "print(\"\\nTOP 20 AUM CHANGES\")\n", + "\n", + "print(\n", + " largest_changes[\n", + " [\n", + " \"Registrar Account - ID\",\n", + " \"Product - Isin\",\n", + " \"Centralisation Date\",\n", + " \"Quantity - AUM_raw\",\n", + " \"Quantity - AUM_repaired\",\n", + " \"aum_diff\"\n", + " ]\n", + " ]\n", + ")\n", + "\n", + "\n", + "# ============================================================\n", + "# 6. WHICH ISIN WERE MOST MODIFIED\n", + "# ============================================================\n", + "\n", + "isin_changes = (\n", + " df.groupby(\"Product - Isin\")[\"aum_diff\"]\n", + " .apply(lambda x: (x != 0).mean())\n", + " .sort_values(ascending=False)\n", + " .head(10)\n", + ")\n", + "\n", + "print(\"\\nISIN WITH MOST MODIFICATIONS\")\n", + "print(isin_changes)\n", + "\n", + "\n", + "# ============================================================\n", + "# 7. CHECK REPAIR FLAG CONSISTENCY\n", + "# ============================================================\n", + "\n", + "if \"repair_flag\" in df.columns:\n", + "\n", + " repair_flag_errors = (\n", + " (df[\"repair_flag\"] == False) &\n", + " (df[\"Quantity - AUM_raw\"] != df[\"Quantity - AUM_repaired\"])\n", + " ).sum()\n", + "\n", + " print(\"\\nREPAIR FLAG ERRORS:\", repair_flag_errors)\n", + "\n", + "\n", + "print(\"\\n==============================\")\n", + "print(\"COMPARISON COMPLETED\")\n", + "print(\"==============================\")" + ] + }, + { + "cell_type": "code", + "execution_count": 48, + "id": "976dd82c-5c16-44e6-aa5d-65d085714b25", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/tmp/ipykernel_1311/1498669893.py:8: DtypeWarning:\n", + "\n", + "Columns (2,3,4,5) have mixed types. Specify dtype option on import or set low_memory=False.\n", + "\n" + ] + } + ], + "source": [ + "import pandas as pd\n", + "import numpy as np\n", + "import plotly.graph_objects as go\n", + "\n", + "# ============================================================\n", + "# 1. 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" + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# ============================================================\n", + "# 2. PREPARE FLOWS\n", + "# ============================================================\n", + "\n", + "flows_clean = (\n", + " flows\n", + " .groupby(\n", + " [\"Registrar Account - ID\",\"Product - Isin\",\"Centralisation Date\"],\n", + " as_index=False\n", + " )[\"Quantity - NetFlows\"]\n", + " .sum()\n", + ")\n", + "\n", + "# ============================================================\n", + "# 3. MERGE\n", + "# ============================================================\n", + "\n", + "df = aum.merge(\n", + " flows_clean,\n", + " on=[\"Registrar Account - ID\",\"Product - Isin\",\"Centralisation Date\"],\n", + " how=\"left\"\n", + ")\n", + "\n", + "df[\"Quantity - NetFlows\"] = df[\"Quantity - NetFlows\"].fillna(0)\n", + "\n", + "# ============================================================\n", + "# 4. SORT\n", + "# ============================================================\n", + "\n", + "df = df.sort_values(\n", + " [\"Registrar Account - ID\",\"Product - Isin\",\"Centralisation Date\"]\n", + ")\n", + "\n", + "# ============================================================\n", + "# REBUILD ACCOUNTING IDENTITY WITH REPAIRED AUM\n", + "# ============================================================\n", + "\n", + "df[\"prev_aum\"] = df.groupby(\n", + " [\"Registrar Account - ID\",\"Product - Isin\"]\n", + ")[\"Quantity - AUM\"].shift(1)\n", + "\n", + "df[\"prev_flow\"] = df.groupby(\n", + " [\"Registrar Account - ID\",\"Product - Isin\"]\n", + ")[\"Quantity - NetFlows\"].shift(1).fillna(0)\n", + "\n", + "df[\"expected_aum\"] = df[\"prev_aum\"] + df[\"prev_flow\"]\n", + "\n", + "# ============================================================\n", + "# COMPUTE GAP\n", + "# ============================================================\n", + "\n", + "df[\"gap\"] = df[\"Quantity - AUM\"] - df[\"expected_aum\"]\n", + "df[\"gap_abs\"] = df[\"gap\"].abs()\n", + "\n", + "EPS = 10\n", + "\n", + "df[\"rupture_flag\"] = (\n", + " df[\"prev_aum\"].notna()\n", + " & (df[\"gap_abs\"] > EPS)\n", + ")\n", + "# ============================================================\n", + "# 6. COMPUTE GAP\n", + "# ============================================================\n", + "\n", + "df[\"gap\"] = df[\"Quantity - AUM\"] - df[\"expected_aum\"]\n", + "df[\"gap_abs\"] = df[\"gap\"].abs()\n", + "\n", + "EPS = 10\n", + "\n", + "df[\"rupture_flag\"] = (\n", + " df[\"prev_aum\"].notna()\n", + " & (df[\"gap_abs\"] > EPS)\n", + ")\n", + "\n", + "# ============================================================\n", + "# 7. BUILD RUPTURE SUMMARY\n", + "# ============================================================\n", + "\n", + "rupture_summary = (\n", + " df.groupby([\"Registrar Account - ID\",\"Product - Isin\"])\n", + " .agg(\n", + " n_ruptures=(\"rupture_flag\",\"sum\"),\n", + " total_obs=(\"rupture_flag\",\"count\"),\n", + " rupture_ratio=(\"rupture_flag\",\"mean\")\n", + " )\n", + " .reset_index()\n", + ")\n", + "\n", + "# ============================================================\n", + "# 8. SAME CLASSIFICATION AS YOUR CODE\n", + "# ============================================================\n", + "\n", + "rs = rupture_summary.copy()\n", + "\n", + "bins = [0, 0.01, 0.10, 0.30, 1.01]\n", + "\n", + "labels = [\n", + " \"Clean / quasi-clean (≤1%)\",\n", + " \"Moderate (1–10%)\",\n", + " \"High (10–30%)\",\n", + " \"Severe (>30%)\"\n", + "]\n", + "\n", + "rs[\"rupture_class\"] = pd.cut(\n", + " rs[\"rupture_ratio\"],\n", + " bins=bins,\n", + " labels=labels,\n", + " include_lowest=True\n", + ")\n", + "\n", + "# ============================================================\n", + "# 9. DISTRIBUTION\n", + "# ============================================================\n", + "\n", + "dist = (\n", + " rs[\"rupture_class\"]\n", + " .value_counts(normalize=True)\n", + " .sort_index()\n", + " * 100\n", + ").round(1)\n", + "\n", + "# ============================================================\n", + "# 10. DONUT CHART\n", + "# ============================================================\n", + "\n", + "fig = go.Figure(\n", + " data=[go.Pie(\n", + " labels=dist.index,\n", + " values=dist.values,\n", + " hole=0.45,\n", + " textinfo=\"percent\",\n", + " hoverinfo=\"label+percent\"\n", + " )]\n", + ")\n", + "\n", + "fig.update_layout(\n", + " title=\"Rupture intensity distribution (AUM repaired)\",\n", + " legend=dict(\n", + " orientation=\"h\",\n", + " yanchor=\"top\",\n", + " y=-0.15,\n", + " xanchor=\"center\",\n", + " x=0.5\n", + " ),\n", + " legend_title_text=\"Rupture ratio\"\n", + ")\n", + "\n", + "fig.show()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "990898ea-ceca-46bb-bfb3-c87bf289d272", + "metadata": {}, + "outputs": [], + "source": [ + "import seaborn as sns\n", + "import matplotlib.pyplot as plt\n", + "\n", + "df = merged_isin.copy()\n", + "\n", + "# Ajouter année / mois\n", + "df[\"year\"] = df[\"Centralisation Date\"].dt.year\n", + "df[\"month\"] = df[\"Centralisation Date\"].dt.month\n", + "\n", + "# 1. Nombre total de lignes par mois\n", + "total = df.groupby([\"year\", \"month\"]).size().reset_index(name=\"total_lines\")\n", + "\n", + "# 2. Nombre de ruptures par mois\n", + "ruptures = df[df[\"rupture_flag\"]].groupby([\"year\", \"month\"]).size().reset_index(name=\"n_ruptures\")\n", + "\n", + "# 3. Merge pour obtenir total + ruptures\n", + "ratio = total.merge(ruptures, on=[\"year\",\"month\"], how=\"left\")\n", + "ratio[\"n_ruptures\"] = ratio[\"n_ruptures\"].fillna(0)\n", + "\n", + "# 4. Proportion (en %)\n", + "ratio[\"rupture_ratio\"] = ratio[\"n_ruptures\"] / ratio[\"total_lines\"]\n", + "\n", + "# 5. Pivot pour heatmap\n", + "heatmap_ratio = ratio.pivot(index=\"year\", columns=\"month\", values=\"rupture_ratio\").fillna(0)\n", + "\n", + "# 6. Plot\n", + "plt.figure(figsize=(14, 7))\n", + "sns.heatmap(\n", + " heatmap_ratio, \n", + " cmap=\"Reds\",\n", + " linewidths=.3,\n", + " linecolor=\"grey\",\n", + " annot=True,\n", + " fmt=\".2%\",\n", + " cbar_kws={'label': 'Proportion de ruptures'}\n", + ")\n", + "\n", + "plt.title(\"Heatmap de la proportion de ruptures (par année et mois)\", fontsize=16)\n", + "plt.xlabel(\"Mois\")\n", + "plt.ylabel(\"Année\")\n", + "plt.show()\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "4d335589-c519-458d-857d-a051813b950b", + "metadata": {}, + "outputs": [], + "source": [ + "df = merged_isin.copy()\n", + "\n", + "# Ajouter year / month au cas où\n", + "df[\"year\"] = df[\"Centralisation Date\"].dt.year\n", + "df[\"month\"] = df[\"Centralisation Date\"].dt.month\n", + "\n", + "# Merge géographique\n", + "df = df.merge(\n", + " geo[[\"Registrar Account - ID\", \"country\"]],\n", + " on=\"Registrar Account - ID\",\n", + " how=\"left\"\n", + ")\n", + "\n", + "df[\"country\"] = df[\"country\"].fillna(\"UNKNOWN\")\n", + "\n", + "# Total des lignes par pays\n", + "total_country = df.groupby(\"country\").size().reset_index(name=\"total_obs\")\n", + "\n", + "# Nombre de ruptures\n", + "rupt_country = (\n", + " df[df[\"rupture_flag\"]]\n", + " .groupby(\"country\")\n", + " .size()\n", + " .reset_index(name=\"ruptures\")\n", + ")\n", + "\n", + "# Merge + ratios\n", + "country_stats = total_country.merge(rupt_country, on=\"country\", how=\"left\")\n", + "country_stats[\"ruptures\"] = country_stats[\"ruptures\"].fillna(0)\n", + "country_stats[\"rupture_ratio\"] = country_stats[\"ruptures\"] / country_stats[\"total_obs\"]\n", + "\n", + "# Tri (rupture ratio décroissant)\n", + "country_stats = country_stats.sort_values(\"rupture_ratio\", ascending=False)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "8a45a111-25da-4f5c-9723-c3efd25c906d", + "metadata": {}, + "outputs": [], + "source": [ + "# On ajoute une colonne en % pour l’affichage\n", + "import plotly.express as px\n", + "\n", + "country_stats_plot = country_stats.copy()\n", + "country_stats_plot[\"rupture_pct\"] = country_stats_plot[\"rupture_ratio\"] * 100\n", + "\n", + "# Tri décroissant par proportion de ruptures\n", + "country_stats_plot = country_stats_plot.sort_values(\"rupture_ratio\", ascending=False)\n", + "\n", + "fig = px.bar(\n", + " country_stats_plot,\n", + " x=\"country\",\n", + " y=\"rupture_ratio\",\n", + " hover_data={\n", + " \"rupture_pct\": ':.2f',\n", + " \"ruptures\": True,\n", + " \"total_obs\": True,\n", + " \"rupture_ratio\": False, # on cache la version décimale\n", + " },\n", + " labels={\n", + " \"country\": \"Pays\",\n", + " \"rupture_ratio\": \"Proportion de ruptures\",\n", + " \"rupture_pct\": \"% de ruptures\",\n", + " \"ruptures\": \"Nb de ruptures\",\n", + " \"total_obs\": \"Nb d'observations\"\n", + " },\n", + " title=\"Proportion de ruptures par pays (avec volumes au survol)\"\n", + ")\n", + "\n", + "# Format en %\n", + "fig.update_yaxes(tickformat=\".1%\")\n", + "\n", + "fig.update_layout(\n", + " xaxis_tickangle=-45,\n", + " bargap=0.2\n", + ")\n", + "\n", + "fig.show()\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "a4af9841-6cf9-4d27-8096-ac878e866bc6", + "metadata": {}, + "outputs": [], + "source": [ + "rs = rupture_summary.copy()\n", + "\n", + "# 1. Stats numériques classiques\n", + "print(\"\\n=== BASIC NUMERIC STATS ===\")\n", + "print(rs[\"rupture_ratio\"].describe(percentiles=[0.01, 0.05, 0.10, 0.25, 0.5, 0.75, 0.90, 0.95, 0.99]))\n", + "\n", + "\n", + "# 2. Distribution par classes (bins)\n", + "\n", + "rs[\"rupture_bucket\"] = pd.cut(\n", + " rs[\"rupture_ratio\"],\n", + " bins=[0, 0.001, 0.01, 0.05, 0.10, 0.25, 0.50, 1.01],\n", + " labels=[\n", + " \"0–0.1%\",\n", + " \"0.1–1%\",\n", + " \"1–5%\",\n", + " \"5–10%\",\n", + " \"10–25%\",\n", + " \"25–50%\",\n", + " \"50–100%\"\n", + " ],\n", + " include_lowest=True\n", + ")\n", + "\n", + "# Ajouter la catégorie \"0%\"\n", + "rs[\"rupture_bucket\"] = rs[\"rupture_bucket\"].cat.add_categories(\"0%\")\n", + "\n", + "# Remplacer les 0% exacts\n", + "rs.loc[rs[\"rupture_ratio\"] == 0, \"rupture_bucket\"] = \"0%\"\n", + "\n", + "bucket_counts = rs[\"rupture_bucket\"].value_counts().sort_index()\n", + "print(bucket_counts)\n", + "\n", + "\n", + "# 3. Pourcentages\n", + "bucket_percent = (bucket_counts / len(rs) * 100).round(2)\n", + "\n", + "print(\"\\n=== DISTRIBUTION (PERCENT) ===\")\n", + "print(bucket_percent)\n", + "\n", + "\n", + "# 4. Nombre de comptes totalement propres\n", + "no_rupture = (rs[\"n_ruptures\"] == 0).sum()\n", + "print(f\"\\nComptes avec 0 rupture = {no_rupture} ({no_rupture/len(rs)*100:.2f}%)\")\n", + "\n", + "# 5. Comptes extrêmement problématiques\n", + "severe = (rs[\"rupture_ratio\"] > 0.75).sum()\n", + "print(f\"Comptes avec rupture_ratio > 75% = {severe} ({severe/len(rs)*100:.2f}%)\")\n", + "\n", + "medium = (rs[\"rupture_ratio\"] > 0.10).sum()\n", + "print(f\"Comptes avec rupture_ratio > 10% = {medium} ({medium/len(rs)*100:.2f}%)\")\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "f39a9a5a-5f4e-4cac-9f63-e6952582b6ff", + "metadata": {}, + "outputs": [], + "source": [ + "import plotly.express as px\n", + "\n", + "fig = px.histogram(\n", + " rs,\n", + " x=\"rupture_ratio\",\n", + " nbins=50,\n", + " title=\"Distribution du rupture_ratio\",\n", + " labels={\"rupture_ratio\": \"Rupture Ratio\"},\n", + ")\n", + "fig.update_layout(bargap=0.05)\n", + "fig.show()\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "70132995-8379-44b6-8ff6-f09524c4e4d0", + "metadata": {}, + "outputs": [], + "source": [ + "# --- 1. Filtres de base ---\n", + "merged[\"year\"] = merged[\"Centralisation Date\"].dt.year\n", + "\n", + "# Filtrer uniquement l'année 2021\n", + "ruptures_2021 = merged[(merged[\"year\"] == 2021) & (merged[\"rupture_flag\"] == True)].copy()\n", + "\n", + "print(\"Nombre total de ruptures en 2021 :\", len(ruptures_2021))\n", + "\n", + "# --- 2. Classification du type de gap ---\n", + "ruptures_2021[\"gap_type\"] = np.where(ruptures_2021[\"gap\"] > 0, \"positive\", \"negative\")\n", + "\n", + "# --- 3. Statistiques globales ---\n", + "gap_counts = ruptures_2021[\"gap_type\"].value_counts()\n", + "gap_percent = ruptures_2021[\"gap_type\"].value_counts(normalize=True) * 100\n", + "\n", + "print(\"\\n=== RUPTURES 2021 — POSITIVES vs NEGATIVES ===\")\n", + "print(gap_counts)\n", + "print(\"\\n(%)\")\n", + "print(gap_percent.map(lambda x: f\"{x:.2f}%\"))\n", + "\n", + "# --- 4. Intensité des écarts ---\n", + "intensity_stats = ruptures_2021.groupby(\"gap_type\")[\"gap\"].describe()\n", + "print(\"\\n=== STATISTIQUES DES GAPS ===\")\n", + "print(intensity_stats)\n", + "\n", + "# --- 5. Visualisation rapide ---\n", + "import seaborn as sns\n", + "import matplotlib.pyplot as plt\n", + "\n", + "plt.figure(figsize=(10,5))\n", + "sns.histplot(data=ruptures_2021, x=\"gap\", hue=\"gap_type\", bins=80, kde=True)\n", + "plt.xlim(-merged[\"gap\"].abs().max(), merged[\"gap\"].abs().max())\n", + "plt.title(\"Distribution des gaps de rupture en 2021\")\n", + "plt.xlabel(\"Gap (AUM_{t} − Expected AUM_{t})\")\n", + "plt.show()\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "1faf943a-4703-4b19-a867-2670ac3a5209", + "metadata": {}, + "outputs": [], + "source": [ + "# --- 1. ADD YEAR ---\n", + "merged[\"year\"] = merged[\"Centralisation Date\"].dt.year\n", + "\n", + "# --- 2. DEFINE PERIODS ---\n", + "conditions = [\n", + " merged[\"year\"] < 2021,\n", + " merged[\"year\"] == 2021,\n", + " merged[\"year\"] > 2021\n", + "]\n", + "\n", + "period_labels = [\"before_2021\", \"during_2021\", \"after_2021\"]\n", + "\n", + "merged[\"period\"] = np.select(\n", + " conditions,\n", + " period_labels,\n", + " default=\"unknown\"\n", + ")\n", + "\n", + "# --- 3. CREATE GAP TYPE & FILTER ONLY RUPTURES ---\n", + "merged[\"gap_type\"] = np.where(\n", + " merged[\"gap\"] > 0, \"positive\",\n", + " np.where(merged[\"gap\"] < 0, \"negative\", \"zero\")\n", + ")\n", + "\n", + "ruptures = merged[merged[\"rupture_flag\"] == True].copy()\n", + "\n", + "# --- 4. TOTAL OBS PER PERIOD ---\n", + "total_obs = merged.groupby(\"period\").size().rename(\"total_obs\")\n", + "\n", + "# --- 5. TOTAL RUPTURES PER PERIOD ---\n", + "rupture_counts = ruptures.groupby(\"period\").size().rename(\"rupture_count\")\n", + "\n", + "# --- 6. PROPORTION OF RUPTURES ---\n", + "rupture_ratio = (rupture_counts / total_obs).rename(\"rupture_ratio\")\n", + "\n", + "# --- 7. POSITIVE / NEGATIVE GAPS (% among ruptures) ---\n", + "gap_dist = (\n", + " ruptures.groupby([\"period\", \"gap_type\"])\n", + " .size()\n", + " .groupby(level=0)\n", + " .apply(lambda x: (x / x.sum()) * 100) # % par période\n", + ")\n", + "\n", + "\n", + "# --- 8. MERGE AND DISPLAY ---\n", + "summary = pd.concat([total_obs, rupture_counts, rupture_ratio], axis=1)\n", + "summary[\"rupture_ratio\"] = (summary[\"rupture_ratio\"] * 100).round(2)\n", + "\n", + "print(\"\\n=== RUPTURE SUMMARY (in %) ===\")\n", + "print(summary)\n", + "\n", + "print(\"\\n=== GAP POSITIVE / NEGATIVE DISTRIBUTION (in %) ===\")\n", + "print(gap_dist)\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "5abee764-b890-4ea1-8f98-5a0ff1512611", + "metadata": {}, + "outputs": [], + "source": [ + "from plotly.subplots import make_subplots\n", + "import plotly.graph_objects as go\n", + "\n", + "# --- 1. DEFINE PERIODS ---\n", + "merged[\"period2\"] = np.where(\n", + " merged[\"Centralisation Date\"] < pd.Timestamp(\"2021-09-01\"),\n", + " \"Before Sep 2021\",\n", + " \"After Sep 2021\"\n", + ")\n", + "\n", + "ruptures = merged[merged[\"rupture_flag\"] == True].copy()\n", + "\n", + "# --- 2. Ensure gap_type exists + no missing categories ---\n", + "ruptures[\"gap_type\"] = ruptures[\"gap_type\"].replace({\"zero\": \"positive\"}) # zero is equivalent to no-flow change\n", + "\n", + "# --- 3. Compute gap counts ---\n", + "gap_counts = (\n", + " ruptures.groupby([\"period2\", \"gap_type\"])\n", + " .size()\n", + " .unstack(fill_value=0)\n", + ")\n", + "\n", + "# Ensure both columns exist\n", + "for col in [\"positive\", \"negative\"]:\n", + " if col not in gap_counts.columns:\n", + " gap_counts[col] = 0\n", + "\n", + "gap_counts = gap_counts[[\"positive\", \"negative\"]]\n", + "\n", + "# --- 4. Extract values ---\n", + "before_vals = gap_counts.loc[\"Before Sep 2021\"].values\n", + "after_vals = gap_counts.loc[\"After Sep 2021\"].values\n", + "\n", + "# --- 5. MAKE TWO DONUT CHARTS ---\n", + "fig = make_subplots(\n", + " rows=1, cols=2,\n", + " specs=[[{\"type\": \"pie\"}, {\"type\": \"pie\"}]],\n", + " subplot_titles=(\"Before Sep 2021\", \"After Sep 2021\")\n", + ")\n", + "\n", + "fig.add_trace(\n", + " go.Pie(\n", + " labels=[\"Negative gaps\", \"Positive gaps\"],\n", + " values=before_vals,\n", + " marker_colors=[\"#E67E22\", \"#3498DB\"],\n", + " hole=0.45,\n", + " textinfo=\"label+percent\"\n", + " ),\n", + " row=1, col=1\n", + ")\n", + "\n", + "fig.add_trace(\n", + " go.Pie(\n", + " labels=[\"Negative gaps\", \"Positive gaps\"],\n", + " values=after_vals,\n", + " marker_colors=[\"#E67E22\", \"#3498DB\"],\n", + " hole=0.45,\n", + " textinfo=\"label+percent\"\n", + " ),\n", + " row=1, col=2\n", + ")\n", + "\n", + "fig.update_layout(\n", + " title=\"Nature des ruptures (positive / negative)\\nAvant vs Après Septembre 2021\",\n", + " showlegend=True\n", + ")\n", + "\n", + "fig.show()\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "3aa3b8a0-f499-495a-9171-2e09d0bb1e5f", + "metadata": {}, + "outputs": [], + "source": [ + "import plotly.graph_objects as go\n", + "\n", + "# --- 1. Compute gap counts by period ---\n", + "gap_counts = (\n", + " ruptures.groupby([\"period2\", \"gap_type\"])\n", + " .size()\n", + " .unstack(fill_value=0)\n", + ")\n", + "\n", + "# Ensure both columns exist\n", + "for col in [\"positive\", \"negative\"]:\n", + " if col not in gap_counts.columns:\n", + " gap_counts[col] = 0\n", + "\n", + "gap_counts = gap_counts[[\"positive\", \"negative\"]]\n", + "\n", + "# --- 2. Extract values ---\n", + "before_vals = gap_counts.loc[\"Before Sep 2021\"].values\n", + "after_vals = gap_counts.loc[\"After Sep 2021\"].values\n", + "\n", + "# --- 3. Plot : TWO PIE CHARTS side by side ---\n", + "fig = make_subplots(\n", + " rows=1, cols=2,\n", + " specs=[[{\"type\": \"pie\"}, {\"type\": \"pie\"}]],\n", + " subplot_titles=(\"Before 2021\", \"After 2021\")\n", + ")\n", + "\n", + "fig.add_trace(\n", + " go.Pie(\n", + " labels=[\"Negative gaps\", \"Positive gaps\"],\n", + " values=before_vals,\n", + " marker_colors=[\"#E67E22\", \"#3498DB\"],\n", + " hole=0.35\n", + " ),\n", + " row=1, col=1\n", + ")\n", + "\n", + "fig.add_trace(\n", + " go.Pie(\n", + " labels=[\"Negative gaps\", \"Positive gaps\"],\n", + " values=after_vals,\n", + " marker_colors=[\"#E67E22\", \"#3498DB\"],\n", + " hole=0.35\n", + " ),\n", + " row=1, col=2\n", + ")\n", + "\n", + "fig.update_layout(\n", + " title=\"Répartition des ruptures (positive / negative)\\nAvant vs Après 2021\"\n", + ")\n", + "\n", + "fig.show()\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "d4f0dc74-649d-4105-9a1a-44a18d126a3c", + "metadata": {}, + "outputs": [], + "source": [ + "import plotly.graph_objects as go\n", + "\n", + "# --- 1. Define periods ---\n", + "merged[\"period2\"] = np.where(\n", + " merged[\"Centralisation Date\"] < pd.Timestamp(\"2021-09-01\"),\n", + " \"Before Sep 2021\",\n", + " \"After Sep 2021\"\n", + ")\n", + "\n", + "# --- 2. Keep only ruptures ---\n", + "ruptures = merged[merged[\"rupture_flag\"] == True].copy()\n", + "\n", + "# --- 3. Count ruptures per period ---\n", + "rupture_counts = ruptures[\"period2\"].value_counts().reindex(\n", + " [\"Before Sep 2021\", \"After Sep 2021\"]\n", + ").fillna(0)\n", + "\n", + "# --- 4. Pie chart ---\n", + "fig = go.Figure(data=[\n", + " go.Pie(\n", + " labels=rupture_counts.index,\n", + " values=rupture_counts.values,\n", + " hole=0.45,\n", + " marker_colors=[\"#2ECC71\", \"#E74C3C\"],\n", + " textinfo=\"percent+value\",\n", + " )\n", + "])\n", + "\n", + "fig.update_layout(\n", + " title=\"Répartition des ruptures\"\n", + ")\n", + "\n", + "fig.show()\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "ecccd73c-00a6-4ff3-b213-e85b98ec5a55", + "metadata": {}, + "outputs": [], + "source": [ + "import pandas as pd\n", + "import numpy as np\n", + "\n", + "# 1. Filtre sur la période post-Sept 2021\n", + "cutoff = pd.Timestamp(\"2021-09-01\")\n", + "post = merged[merged[\"Centralisation Date\"] >= cutoff].copy()\n", + "\n", + "# 2. On ne garde que les ruptures\n", + "post_rupt = post[post[\"rupture_flag\"] == True].copy()\n", + "\n", + "# 3. Gap absolu + gap relatif (% du stock)\n", + "post_rupt[\"gap_abs\"] = post_rupt[\"gap\"].abs()\n", + "post_rupt[\"gap_rel\"] = post_rupt[\"gap_abs\"] / post_rupt[\"Quantity - AUM\"].replace(0, np.nan)\n", + "\n", + "# 4. Percentiles globaux\n", + "p90 = post_rupt[\"gap_abs\"].quantile(0.90)\n", + "p95 = post_rupt[\"gap_abs\"].quantile(0.95)\n", + "p99 = post_rupt[\"gap_abs\"].quantile(0.99)\n", + "\n", + "# 5. Classification automatique\n", + "def classify_gap(gap, gap_rel, acct):\n", + " # RESET → énorme choc (technique)\n", + " if gap_abs >= p99 or gap_rel >= 0.90:\n", + " return \"reset\"\n", + "\n", + " # SPIKE → très gros gap mais isolé\n", + " if gap_abs >= p95:\n", + " return \"spike\"\n", + "\n", + " # SHIFT → décalage permanent\n", + " # Test : moyenne des gaps du compte\n", + " return None\n", + "\n", + "# Calcul du shift (décalage directionnel)\n", + "shift_info = post_rupt.groupby(\"Registrar Account - ID\")[\"gap\"].mean().rename(\"avg_gap\")\n", + "\n", + "post_rupt = post_rupt.merge(shift_info, on=\"Registrar Account - ID\", how=\"left\")\n", + "\n", + "post_rupt[\"gap_type2\"] = np.where(\n", + " post_rupt[\"gap_abs\"] >= p99, \"reset\",\n", + " np.where(post_rupt[\"gap_abs\"] >= p95, \"spike\",\n", + " np.where(post_rupt[\"avg_gap\"].abs() > post_rupt[\"gap_abs\"].median(), \"shift\", \"micro\")))\n", + " \n", + "# 6. Statistiques globales\n", + "stats = post_rupt[\"gap_type2\"].value_counts(normalize=True).round(3) * 100\n", + "print(\"\\n=== DISTRIBUTION DES TYPES DE GAPS POST-2021 ===\")\n", + "print(stats)\n", + "\n", + "# 7. Stats par client\n", + "client_stats = (\n", + " post_rupt.groupby(\"Registrar Account - ID\")[\"gap_type2\"]\n", + " .value_counts(normalize=True)\n", + " .rename(\"ratio\")\n", + " .mul(100)\n", + " .reset_index()\n", + ")\n", + "\n", + "# 8. Stats par ISIN\n", + "isin_stats = (\n", + " post_rupt.groupby(\"Product - Isin\")[\"gap_type2\"]\n", + " .value_counts(normalize=True)\n", + " .rename(\"ratio\")\n", + " .mul(100)\n", + " .reset_index()\n", + ")\n", + "\n", + "print(\"\\n=== TOP ISIN PAR RESET ===\")\n", + "print(isin_stats[isin_stats[\"gap_type2\"]==\"reset\"].sort_values(\"ratio\", ascending=False).head(10))\n", + "\n", + "print(\"\\n=== TOP CLIENTS PAR RESET ===\")\n", + "print(client_stats[client_stats[\"gap_type2\"]==\"reset\"].sort_values(\"ratio\", ascending=False).head(10))\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "c2efc5e0-bc35-4fa7-ab5d-6be616964446", + "metadata": {}, + "outputs": [], + "source": [ + "import plotly.graph_objects as go\n", + "\n", + "# --- Data from your output ---\n", + "labels = [\"Micro-ruptures\", \"Décalage\", \"Anomalies ponctuelles\", \"Remise à zéro\"]\n", + "values = [50.4, 44.6, 4.0, 1.0]\n", + "\n", + "# --- Pie chart ---\n", + "fig = go.Figure(\n", + " data=[go.Pie(\n", + " labels=labels,\n", + " values=values,\n", + " hole=0.35, # donut style (plus lisible)\n", + " textinfo='percent',\n", + " marker=dict(colors=[\"#3498DB\", \"#E67E22\", \"#9B59B6\", \"#E74C3C\"])\n", + " )]\n", + ")\n", + "\n", + "fig.update_layout(\n", + " title=\"Typologie des ruptures depuis Septembre 2021\",\n", + " legend_title=\"Type de gap\",\n", + ")\n", + "\n", + "fig.show()\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "744e04b6-3f34-40c9-95fe-a5605e7c7f02", + "metadata": {}, + "outputs": [], + "source": [ + "merged[\"gap_abs\"] = merged[\"gap\"].abs()\n", + "\n", + "merged[\"gap_rel\"] = (\n", + " merged[\"gap_abs\"] /\n", + " merged[\"Quantity - AUM\"].replace(0, np.nan)\n", + ")\n", + "\n", + "merged.loc[merged[\"rupture_flag\"], \"gap_rel\"].describe(\n", + " percentiles=[0.5, 0.75, 0.9, 0.95, 0.99]\n", + ")\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "3d20625e-1045-4b7a-ab64-3381997e4131", + "metadata": {}, + "outputs": [], + "source": [ + "# uniquement sur les ruptures\n", + "df_r = merged[merged[\"rupture_flag\"]].copy()\n", + "\n", + "# seuils globaux (descriptifs, pas \"optimisés\")\n", + "q90 = df_r[\"gap_abs\"].quantile(0.90)\n", + "q99 = df_r[\"gap_abs\"].quantile(0.99)\n", + "\n", + "# moyenne directionnelle par compte\n", + "avg_gap_by_account = (\n", + " df_r.groupby(\"Registrar Account - ID\")[\"gap\"]\n", + " .mean()\n", + " .rename(\"avg_gap\")\n", + ")\n", + "\n", + "df_r = df_r.merge(avg_gap_by_account, on=\"Registrar Account - ID\", how=\"left\")\n", + "\n", + "def classify_gap(row):\n", + " if row[\"gap_abs\"] >= q99:\n", + " return \"reset\"\n", + " if row[\"gap_abs\"] >= q90:\n", + " return \"spike\"\n", + " if abs(row[\"avg_gap\"]) > row[\"gap_abs\"]:\n", + " return \"shift\"\n", + " return \"micro\"\n", + "\n", + "df_r[\"discontinuity_type\"] = df_r.apply(classify_gap, axis=1)\n", + "df_r[\"discontinuity_type\"].value_counts(normalize=True) * 100\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "02806629-e454-4e10-82be-6e2239091088", + "metadata": {}, + "outputs": [], + "source": [ + "merged[\"year\"] = merged[\"Centralisation Date\"].dt.year\n", + "\n", + "yearly_stats = merged.groupby(\"year\").agg(\n", + " total_obs=(\"gap\", \"count\"),\n", + " ruptures=(\"rupture_flag\", \"sum\")\n", + ").reset_index()\n", + "\n", + "yearly_stats[\"rupture_rate\"] = (\n", + " yearly_stats[\"ruptures\"] / yearly_stats[\"total_obs\"]\n", + ")\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "2edf2c55-45e7-4aad-b4f9-5c35178abad6", + "metadata": {}, + "outputs": [], + "source": [ + "import matplotlib.pyplot as plt\n", + "import numpy as np\n", + "\n", + "df_r = merged[merged[\"rupture_flag\"]].copy()\n", + "\n", + "plt.figure(figsize=(12,4))\n", + "plt.hist(df_r[\"gap_abs\"], bins=100, log=True)\n", + "plt.title(\"Distribution of absolute gaps (log scale)\")\n", + "plt.xlabel(\"Absolute gap\")\n", + "plt.ylabel(\"Frequency (log)\")\n", + "plt.show()\n", + "\n", + "plt.figure(figsize=(12,4))\n", + "plt.hist(df_r[\"gap_rel\"].dropna(), bins=100, log=True)\n", + "plt.title(\"Distribution of relative gaps (|gap| / AUM)\")\n", + "plt.xlabel(\"Relative gap\")\n", + "plt.ylabel(\"Frequency (log)\")\n", + "plt.show()\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "981f2ec6-574b-41ea-b4bf-45be54aeda1f", + "metadata": {}, + "outputs": [], + "source": [ + "plt.figure(figsize=(10,4))\n", + "plt.plot(yearly_stats[\"year\"], yearly_stats[\"rupture_rate\"], marker=\"o\")\n", + "plt.title(\"Evolution of AUM–Flow inconsistency rate over time\")\n", + "plt.xlabel(\"Year\")\n", + "plt.ylabel(\"Rupture rate\")\n", + "plt.grid(True)\n", + "plt.show()\n" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + 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"cell_type": "code", + "execution_count": 2, + "id": "f645c749-321e-46c4-ae5e-0ba2c1967f81", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Requirement already satisfied: networkx in /opt/python/lib/python3.13/site-packages (3.6.1)\n", + "Note: you may need to restart the kernel to use updated packages.\n" + ] + } + ], + "source": [ + "pip install networkx" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "38108d9e-a00c-4026-afd8-706b7131566e", + "metadata": {}, + "outputs": [], + "source": [ + "import warnings\n", + "warnings.filterwarnings(\"ignore\")\n", + "\n", + "import numpy as np\n", + "import pandas as pd\n", + "import matplotlib.pyplot as plt\n", + "import seaborn as sns\n", + "\n", + "from sklearn.preprocessing import StandardScaler, RobustScaler\n", + "from sklearn.cluster import KMeans\n", + "from sklearn.mixture import GaussianMixture\n", + "from sklearn.metrics import silhouette_score, davies_bouldin_score, pairwise_distances\n", + "from sklearn.linear_model import LinearRegression\n", + "from sklearn.neighbors import kneighbors_graph\n", + "from sklearn.manifold import MDS\n", + "\n", + "import networkx as nx\n", + "\n", + "sns.set_style(\"whitegrid\")\n", + "pd.set_option(\"display.max_columns\", 200)\n", + "pd.set_option(\"display.max_rows\", 200)\n", + "\n", + "EPS = 1e-9\n", + "RANDOM_STATE = 42" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "558c8d6d-9a8d-4c82-9765-620f7ce8d116", + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "

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2574461 rows × 25 columns

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Unnamed: 0.1Unnamed: 0Agreement - CodeCompany - IdCompany - Ultimate Parent IdRegistrar Account - IDRegistrar Account - RegionRegistrarAccount - CountryProduct - Asset TypeProduct - StrategyProduct - Legal StatusProduct - Is Dedie ?Product - FundProduct - Shareclass TypeProduct - Shareclass CurrencyProduct - IsinCentralisation DateQuantity - AUMValue - AUM CCYValue - AUM €repair_flag
0003166.0166.0200000647FRANCEFRANCEDIVERSIFIEDPATRIMOINEFCPNOCARMIGNAC PATRIMOINEAEURFR00101351032015-03-3135.36824648.666624648.6666False
1113166.0166.0200000647FRANCEFRANCEDIVERSIFIEDPATRIMOINEFCPNOCARMIGNAC PATRIMOINEAEURFR00101351032015-11-3035.36822413.055322413.0553False
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4443166.0166.0200000647FRANCEFRANCEDIVERSIFIEDPATRIMOINEFCPNOCARMIGNAC PATRIMOINEAEURFR00101351032016-11-3035.36822489.450222489.4502False
..................................................................
551612855161284880294PRIVATE CLIENTPRIVATE CLIENTPRIVATE CLIENTPRIVATE CLIENTSWITZERLANDSWITZERLANDFIXED INCOMESÉCURITÉSICAVNOCARMIGNAC PORTFOLIO SÉCURITÉAW & AW-REURLU12993063212020-10-313099.000318422.2500318422.2500False
551612955161294880294PRIVATE CLIENTPRIVATE CLIENTPRIVATE CLIENTPRIVATE CLIENTSWITZERLANDSWITZERLANDFIXED INCOMESÉCURITÉSICAVNOCARMIGNAC PORTFOLIO SÉCURITÉAW & AW-REURLU12993063212020-10-313099.000318422.2500318422.2500False
551613055161304880295PRIVATE CLIENTPRIVATE CLIENTPRIVATE CLIENTPRIVATE CLIENTSWITZERLANDSWITZERLANDFIXED INCOMESÉCURITÉSICAVNOCARMIGNAC PORTFOLIO SÉCURITÉAW & AW-REURLU12993063212021-07-312835.000297618.3000297618.3000False
551613155161314880295PRIVATE CLIENTPRIVATE CLIENTPRIVATE CLIENTPRIVATE CLIENTSWITZERLANDSWITZERLANDFIXED INCOMESÉCURITÉSICAVNOCARMIGNAC PORTFOLIO SÉCURITÉAW & AW-REURLU12993063212021-07-312835.000297618.3000297618.3000False
551613255161324880296PRIVATE CLIENTPRIVATE CLIENTPRIVATE CLIENTPRIVATE CLIENTSWITZERLANDSWITZERLANDFIXED INCOMESÉCURITÉSICAVNOCARMIGNAC PORTFOLIO SÉCURITÉFW & FW-REURLU17923919112020-07-312916.394287410.6287287410.6287False
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5516133 rows × 21 columns

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" + ], + "text/plain": [ + " Unnamed: 0.1 Unnamed: 0 Agreement - Code Company - Id \\\n", + "0 0 0 3 166.0 \n", + "1 1 1 3 166.0 \n", + "2 2 2 3 166.0 \n", + "3 3 3 3 166.0 \n", + "4 4 4 3 166.0 \n", + "... ... ... ... ... \n", + "5516128 5516128 4880294 PRIVATE CLIENT PRIVATE CLIENT \n", + "5516129 5516129 4880294 PRIVATE CLIENT PRIVATE CLIENT \n", + "5516130 5516130 4880295 PRIVATE CLIENT PRIVATE CLIENT \n", + "5516131 5516131 4880295 PRIVATE CLIENT PRIVATE CLIENT \n", + "5516132 5516132 4880296 PRIVATE CLIENT PRIVATE CLIENT \n", + "\n", + " Company - Ultimate Parent Id Registrar Account - ID \\\n", + "0 166.0 200000647 \n", + "1 166.0 200000647 \n", + "2 166.0 200000647 \n", + "3 166.0 200000647 \n", + "4 166.0 200000647 \n", + "... ... ... \n", + "5516128 PRIVATE CLIENT PRIVATE CLIENT \n", + "5516129 PRIVATE CLIENT PRIVATE CLIENT \n", + "5516130 PRIVATE CLIENT PRIVATE CLIENT \n", + "5516131 PRIVATE CLIENT PRIVATE CLIENT \n", + "5516132 PRIVATE CLIENT PRIVATE CLIENT \n", + "\n", + " Registrar Account - Region RegistrarAccount - Country \\\n", + "0 FRANCE FRANCE \n", + "1 FRANCE FRANCE \n", + "2 FRANCE FRANCE \n", + "3 FRANCE FRANCE \n", + "4 FRANCE FRANCE \n", + "... ... ... \n", + "5516128 SWITZERLAND SWITZERLAND \n", + "5516129 SWITZERLAND SWITZERLAND \n", + "5516130 SWITZERLAND SWITZERLAND \n", + "5516131 SWITZERLAND SWITZERLAND \n", + "5516132 SWITZERLAND SWITZERLAND \n", + "\n", + " Product - Asset Type Product - Strategy Product - Legal Status \\\n", + "0 DIVERSIFIED PATRIMOINE FCP \n", + "1 DIVERSIFIED PATRIMOINE FCP \n", + "2 DIVERSIFIED PATRIMOINE FCP \n", + "3 DIVERSIFIED PATRIMOINE FCP \n", + "4 DIVERSIFIED PATRIMOINE FCP \n", + "... ... ... ... \n", + "5516128 FIXED INCOME SÉCURITÉ SICAV \n", + "5516129 FIXED INCOME SÉCURITÉ SICAV \n", + "5516130 FIXED INCOME SÉCURITÉ SICAV \n", + "5516131 FIXED INCOME SÉCURITÉ SICAV \n", + "5516132 FIXED INCOME SÉCURITÉ SICAV \n", + "\n", + " Product - Is Dedie ? Product - Fund \\\n", + "0 NO CARMIGNAC PATRIMOINE \n", + "1 NO CARMIGNAC PATRIMOINE \n", + "2 NO CARMIGNAC PATRIMOINE \n", + "3 NO CARMIGNAC PATRIMOINE \n", + "4 NO CARMIGNAC PATRIMOINE \n", + "... ... ... \n", + "5516128 NO CARMIGNAC PORTFOLIO SÉCURITÉ \n", + "5516129 NO CARMIGNAC PORTFOLIO SÉCURITÉ \n", + "5516130 NO CARMIGNAC PORTFOLIO SÉCURITÉ \n", + "5516131 NO CARMIGNAC PORTFOLIO SÉCURITÉ \n", + "5516132 NO CARMIGNAC PORTFOLIO SÉCURITÉ \n", + "\n", + " Product - Shareclass Type Product - Shareclass Currency \\\n", + "0 A EUR \n", + "1 A EUR \n", + "2 A EUR \n", + "3 A EUR \n", + "4 A EUR \n", + "... ... ... \n", + "5516128 AW & AW-R EUR \n", + "5516129 AW & AW-R EUR \n", + "5516130 AW & AW-R EUR \n", + "5516131 AW & AW-R EUR \n", + "5516132 FW & FW-R EUR \n", + "\n", + " Product - Isin Centralisation Date Quantity - AUM Value - AUM CCY \\\n", + "0 FR0010135103 2015-03-31 35.368 24648.6666 \n", + "1 FR0010135103 2015-11-30 35.368 22413.0553 \n", + "2 FR0010135103 2015-12-31 35.368 22051.2406 \n", + "3 FR0010135103 2016-03-31 35.368 21626.1173 \n", + "4 FR0010135103 2016-11-30 35.368 22489.4502 \n", + "... ... ... ... ... \n", + "5516128 LU1299306321 2020-10-31 3099.000 318422.2500 \n", + "5516129 LU1299306321 2020-10-31 3099.000 318422.2500 \n", + "5516130 LU1299306321 2021-07-31 2835.000 297618.3000 \n", + "5516131 LU1299306321 2021-07-31 2835.000 297618.3000 \n", + "5516132 LU1792391911 2020-07-31 2916.394 287410.6287 \n", + "\n", + " Value - AUM € repair_flag \n", + "0 24648.6666 False \n", + "1 22413.0553 False \n", + "2 22051.2406 False \n", + "3 21626.1173 False \n", + "4 22489.4502 False \n", + "... ... ... \n", + "5516128 318422.2500 False \n", + "5516129 318422.2500 False \n", + "5516130 297618.3000 False \n", + "5516131 297618.3000 False \n", + "5516132 287410.6287 False \n", + "\n", + "[5516133 rows x 21 columns]" + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df_aum = pd.read_csv(\"AUM_repaired.csv\")\n", + "df_aum" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "id": "4c799ab2-b16e-4cbe-85ee-818002c758c4", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array(['CARMIGNAC PATRIMOINE', 'CARMIGNAC INVESTISSEMENT',\n", + " 'CARMIGNAC PORTFOLIO INVESTISSEMENT',\n", + " 'CARMIGNAC EURO-INVESTISSEMENT', 'CARMIGNAC INNOVATION',\n", + " 'CARMIGNAC ABSOLUTE RETURN EUROPE',\n", + " 'CARMIGNAC PORTFOLIO CLIMATE TRANSITION',\n", + " 'CARMIGNAC EURO-ENTREPRENEURS', 'CARMIGNAC EMERGENTS',\n", + " 'CARMIGNAC PORTFOLIO EMERGING PATRIMOINE',\n", + " 'CARMIGNAC PORTFOLIO GRANDE EUROPE',\n", + " 'CARMIGNAC INVESTISSEMENT LATITUDE', 'CARMIGNAC COURT TERME',\n", + " 'CARMIGNAC SÉCURITÉ', 'CARMIGNAC MULTI EXPERTISE',\n", + " 'CARMIGNAC PORTFOLIO INFOTECH', 'CARMIGNAC PROFIL RÉACTIF 100',\n", + " 'CARMIGNAC PORTFOLIO GLOBAL BOND', 'CARMIGNAC PROFIL RÉACTIF 75',\n", + " 'CARMIGNAC PORTFOLIO PATRIMOINE EUROPE', 'CARMIGNAC CREDIT 2027',\n", + " 'CARMIGNAC PORTFOLIO ASIA DISCOVERY',\n", + " 'CARMIGNAC PORTFOLIO TECH SOLUTIONS',\n", + " 'CARMIGNAC PORTFOLIO FLEXIBLE BOND', 'CARMIGNAC PORTFOLIO CREDIT',\n", + " 'CARMIGNAC PORTFOLIO MARKET NEUTRAL',\n", + " 'CARMIGNAC PORTFOLIO EM DEBT',\n", + " 'CARMIGNAC PORTFOLIO LONG-SHORT EUROPEAN EQUITIES',\n", + " 'CARMIGNAC PORTFOLIO LONG-SHORT GLOBAL EQUITIES',\n", + " 'CARMIGNAC PORTFOLIO PATRIMOINE',\n", + " 'CARMIGNAC PORTFOLIO EURO-ENTREPRENEURS',\n", + " 'CARMIGNAC PORTFOLIO GRANDCHILDREN',\n", + " 'CARMIGNAC PORTFOLIO INVESTISSEMENT LATITUDE',\n", + " 'CARMIGNAC PORTFOLIO EMERGENTS', 'CARMIGNAC PORTFOLIO SÉCURITÉ',\n", + " 'CARMIGNAC PORTFOLIO INFLATION SOLUTION', 'CARMIGNAC CREDIT 2029',\n", + " 'CARMIGNAC CREDIT 2031', 'CARMIGNAC PORTFOLIO CAPITAL CUBE',\n", + " 'CARMIGNAC PORTFOLIO CHINA NEW ECONOMY', 'CARMIGNAC CREDIT 2025',\n", + " 'CARMIGNAC EPARGNE ACTIONS MONDE ISR',\n", + " 'CARMIGNAC PORTFOLIO FAMILY GOVERNED',\n", + " 'CARMIGNAC S.A. SICAV - PART II UCI PRIVATE EVERGREEN',\n", + " 'CARMIGNAC PORTFOLIO HUMAN XPERIENCE',\n", + " 'CARMIGNAC CHINA NEW ECONOMY', 'CARMIGNAC PORTFOLIO CHINA',\n", + " 'CARMIGNAC ALTS ICAV CARMIGNAC CREDIT OPPORTUNITIES',\n", + " 'CARMIGNAC PORTFOLIO MERGER ARBITRAGE PLUS',\n", + " 'CARMIGNAC PORTFOLIO ABSOLUTE RETURN EUROPE',\n", + " 'CARMIGNAC PORTFOLIO FLEXIBLE ALLOCATION 2024',\n", + " 'FP CARMIGNAC EUROPEAN LEADERS',\n", + " 'FP CARMIGNAC GLOBAL EQUITY COMPOUNDERS',\n", + " 'CARMIGNAC PORTFOLIO MERGER ARBITRAGE',\n", + " 'SOLYS - CARMIGNAC EQUITY SELECTION',\n", + " 'FP CARMIGNAC EMERGING MARKETS', 'MAPFRE CARMIGNAC F.P.',\n", + " 'FP CARMIGNAC GLOBAL BOND',\n", + " 'CARMIGNAC ALTS ICAV EUROPEAN LONG SHORT',\n", + " 'CARMIGNAC PORTFOLIO ACTIVE RISK ALLOCATION',\n", + " 'FP CARMIGNAC EMERGING PATRIMOINE', 'FP CARMIGNAC PATRIMOINE',\n", + " 'FP CARMIGNAC EMERGING DISCOVERY',\n", + " 'CREDIT SUISSE CARMIGNAC EMERGING MARKETS MULTI-ASSET FUND',\n", + " 'FONDITALIA CARMIGNAC ACTIVE ALLOCATION',\n", + " 'CARMIGNAC GLOBAL ACTIVE',\n", + " 'LUX IM - CARMIGNAC EMERGING FLEXIBLE BOND',\n", + " 'CARMIGNAC PORTFOLIO EVOLUTION', 'UFF GRANDE EUROPE 0-100',\n", + " 'CFP 1', 'CARMIGNAC PORTFOLIO SUSTAINABLE BOND',\n", + " 'CARMIGNAC PORTFOLIO CROSS ASSET OPPORTUNITIES',\n", + " 'CARMIGNAC PORTFOLIO ALPHA THEMES',\n", + " 'CARMIGNAC PORTFOLIO GLOBAL MARKET NEUTRAL'], dtype=object)" + ] + }, + "execution_count": 26, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df_aum['Product - Fund'].unique()" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "09068a72-80a4-4239-947a-a73f6de10a57", + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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Registrar Account - IDn_daysn_transactionstotal_netflowsmean_flowstd_flowtotal_subscriptiontotal_redemptionchurn_ratiochurn_flagactivity_scoreflow_volatilityinertia_ratio
010000002833-1.092380e+02-36.41266749.2805110.000000e+00-1.092380e+02-1.092380e+0801.38629449.2805110.998921
110000004211-6.601150e+02-660.115000NaN0.000000e+00-6.601150e+02-6.601150e+0800.6931470.0000000.999640
210000006511-1.746460e+02-174.646000NaN0.000000e+00-1.746460e+02-1.746460e+0800.6931470.0000000.999640
31000000696573-7.479755e+03-102.4623972168.9713313.332040e+04-4.080016e+04-1.224480e+0004.3040652168.9713310.976619
410000007311-1.334020e+02-133.402000NaN0.000000e+00-1.334020e+02-1.334020e+0800.6931470.0000000.999640
..........................................
6837422905208212-4.329218e+03-20.420840331.6772979.699140e+03-1.402836e+04-1.446351e+0005.361292331.6772970.925180
6838422906114615564.455099e+032.863174201.0715556.078686e+04-5.633177e+04-9.267095e-0107.350516201.0715550.587770
683983072042212.168303e+0498.1132492217.9404061.204399e+05-9.875688e+04-8.199681e-0105.4026772217.9404060.926619
6840OFF DISTRIBUTION2656276791.319043e+084765.499704391347.4755033.388942e+08-2.069900e+08-6.107804e-01010.228465391347.4755030.044604
6841PRIVATE CLIENT269032363-4.181221e+05-12.9197587572.8301391.354277e+07-1.396089e+07-1.030874e+00010.3848027572.8301390.032374
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6842 rows × 13 columns

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" + ], + "text/plain": [ + " Registrar Account - ID n_days n_transactions total_netflows \\\n", + "0 100000028 3 3 -1.092380e+02 \n", + "1 100000042 1 1 -6.601150e+02 \n", + "2 100000065 1 1 -1.746460e+02 \n", + "3 100000069 65 73 -7.479755e+03 \n", + "4 100000073 1 1 -1.334020e+02 \n", + "... ... ... ... ... \n", + "6837 422905 208 212 -4.329218e+03 \n", + "6838 422906 1146 1556 4.455099e+03 \n", + "6839 8307 204 221 2.168303e+04 \n", + "6840 OFF DISTRIBUTION 2656 27679 1.319043e+08 \n", + "6841 PRIVATE CLIENT 2690 32363 -4.181221e+05 \n", + "\n", + " mean_flow std_flow total_subscription total_redemption \\\n", + "0 -36.412667 49.280511 0.000000e+00 -1.092380e+02 \n", + "1 -660.115000 NaN 0.000000e+00 -6.601150e+02 \n", + "2 -174.646000 NaN 0.000000e+00 -1.746460e+02 \n", + "3 -102.462397 2168.971331 3.332040e+04 -4.080016e+04 \n", + "4 -133.402000 NaN 0.000000e+00 -1.334020e+02 \n", + "... ... ... ... ... \n", + "6837 -20.420840 331.677297 9.699140e+03 -1.402836e+04 \n", + "6838 2.863174 201.071555 6.078686e+04 -5.633177e+04 \n", + "6839 98.113249 2217.940406 1.204399e+05 -9.875688e+04 \n", + "6840 4765.499704 391347.475503 3.388942e+08 -2.069900e+08 \n", + "6841 -12.919758 7572.830139 1.354277e+07 -1.396089e+07 \n", + "\n", + " churn_ratio churn_flag activity_score flow_volatility inertia_ratio \n", + "0 -1.092380e+08 0 1.386294 49.280511 0.998921 \n", + "1 -6.601150e+08 0 0.693147 0.000000 0.999640 \n", + "2 -1.746460e+08 0 0.693147 0.000000 0.999640 \n", + "3 -1.224480e+00 0 4.304065 2168.971331 0.976619 \n", + "4 -1.334020e+08 0 0.693147 0.000000 0.999640 \n", + "... ... ... ... ... ... \n", + "6837 -1.446351e+00 0 5.361292 331.677297 0.925180 \n", + "6838 -9.267095e-01 0 7.350516 201.071555 0.587770 \n", + "6839 -8.199681e-01 0 5.402677 2217.940406 0.926619 \n", + "6840 -6.107804e-01 0 10.228465 391347.475503 0.044604 \n", + "6841 -1.030874e+00 0 10.384802 7572.830139 0.032374 \n", + "\n", + "[6842 rows x 13 columns]" + ] + }, + "execution_count": 6, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df_client = pd.read_csv(\"client_behavior_clean.csv\")\n", + "df_client" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "791d8a11-fa46-400b-bbf1-55c8c055f524", + "metadata": {}, + "outputs": [], + "source": [ + "\n", + "#external data projet-bdc-data /carmignac /Data Modélisation /Nav\n", + "PATH_NAV = \"s3://projet-bdc-data/carmignac/Data Modélisation/Nav/NAV_Bench_data.csv\" #C’est la table de valorisation / performance du produit.\n", + "PATH_RATES = \"s3://projet-bdc-data/carmignac/Data Modélisation/market data/esterRates.csv\"\n", + "\n", + "# optional competitors\n", + "PATH_COMP_FLOWS = \"s3://projet-bdc-data/carmignac/Data Modélisation/competitors/daily_estimated_flows.csv\"\n", + "PATH_COMP_PERF = \"s3://projet-bdc-data/carmignac/Data Modélisation/competitors/weekly_perf_full.csv\"\n", + "PATH_PEERS = \"s3://projet-bdc-carmignac-g3/peers/CAD_peers.csv\"" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "415015e5-4cdc-4ea9-9c0e-701c58314873", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "flows: (2574461, 25)\n", + "aum: (5516133, 21)\n", + "nav: (623914, 5)\n", + "rates: (2826, 2)\n", + "comp_flows: (963003, 6)\n", + "comp_perf: (2370192, 5)\n", + "peers: (31, 12)\n" + ] + } + ], + "source": [ + "df_nav = pd.read_csv(PATH_NAV, sep=\";\")\n", + "df_rates = pd.read_csv(PATH_RATES,sep=\";\")\n", + "\n", + "df_comp_flows = pd.read_csv(PATH_COMP_FLOWS,sep=\";\")\n", + "df_comp_perf = pd.read_csv(PATH_COMP_PERF,sep=\";\")\n", + "df_peers = pd.read_csv(PATH_PEERS,sep=\"|\")\n", + "\n", + "print(\"flows:\", df_flows.shape)\n", + "print(\"aum:\", df_aum.shape)\n", + "print(\"nav:\", df_nav.shape)\n", + "print(\"rates:\", df_rates.shape)\n", + "print(\"comp_flows:\", df_comp_flows.shape)\n", + "print(\"comp_perf:\", df_comp_perf.shape)\n", + "print(\"peers:\", df_peers.shape)\n", + "\n", + "\n", + "#dbe bel ekhr un dataset avec une ligne pour : un client - un produit Carmignac - un mois " + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "id": "0a52ab96-1c47-4530-83d0-148e72f70d9b", + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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DatIsinAum EurPrice (TF PartPrice)PriceBench
62390910/16/2025FR001400KIF0108424691,27148,73462,49002312
62391010/17/2025FR001400KIF0107947215,67148,08462,6446111
62391110/20/2025FR001400KIF0109597120,24150,34468,73416853
62391210/21/2025FR001400KIF0110216503,12151,19470,33788616
62391310/22/2025FR001400KIF0109692584,22150,47468,13202429
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" + ], + "text/plain": [ + " Dat Isin Aum Eur Price (TF PartPrice) \\\n", + "623909 10/16/2025 FR001400KIF0 108424691,27 148,73 \n", + "623910 10/17/2025 FR001400KIF0 107947215,67 148,08 \n", + "623911 10/20/2025 FR001400KIF0 109597120,24 150,34 \n", + "623912 10/21/2025 FR001400KIF0 110216503,12 151,19 \n", + "623913 10/22/2025 FR001400KIF0 109692584,22 150,47 \n", + "\n", + " PriceBench \n", + "623909 462,49002312 \n", + "623910 462,6446111 \n", + "623911 468,73416853 \n", + "623912 470,33788616 \n", + "623913 468,13202429 " + ] + }, + "execution_count": 9, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df_nav.tail()" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "id": "e15c0a1d-d636-48f5-83ab-ff43b49b0e44", + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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DateYld to Maturity
282116/10/20251.928
282217/10/20251.928
282320/10/20251.928
282421/10/20251.927
282522/10/20251.928
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" + ], + "text/plain": [ + " Date Yld to Maturity\n", + "2821 16/10/2025 1.928\n", + "2822 17/10/2025 1.928\n", + "2823 20/10/2025 1.928\n", + "2824 21/10/2025 1.927\n", + "2825 22/10/2025 1.928" + ] + }, + "execution_count": 10, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df_rates.tail() #Table de marché macro, ici probablement un taux de référence." + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "id": "ede9c196-1d10-48fc-b99f-7369a2fb3d9b", + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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shareClass_nameSecId_MSISINFundIdDateEstimated Fund-level Net Flow (Daily)
962998TM Lansdowne European Spec Sit I Acc GBPF00000VH4KGB00BTJRQ064FS0000BQP32025-06-27183110.412
962999Waverton European Dividend Gr B GBP IncF000011TLCIE00BF5KV626FS0000E90E2025-06-2716425.603
963000Premier Miton European Opports B AccF00000WMCFGB00BZ2K2M84FS0000C8WZ2025-06-27-612606.416
963001Incrementum Active Commodity Fund R EURF00000SVVRLI0226274319FS0000AMCV2025-06-27-5123.607
963002AXAWF Inflation Plus A Cap EURF00001CSX2LU2257473269FS0000H62L2025-06-27393490.630
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DateperfPeriodshareClass_namereturnpercentile
23701872015-12-30WeeklyRetBNP Paribas Emerging Eq Cl Eur C-1.62347883.0
23701882015-12-30WeeklyRetCapital Group EM Debt (LUX) B-0.16233888.0
23701892015-12-30WeeklyRetBGF Global Allocation A2 EUR Hedged0.38771244.0
23701902015-12-30WeeklyRetExane Funds 2 Exane Pleiade B EUR Acc0.08289660.0
23701912015-12-30WeeklyRetInvesco Euro Short Term Bond A EUR Acc0.03430235.0
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" + ], + "text/plain": [ + " Date perfPeriod shareClass_name \\\n", + "2370187 2015-12-30 WeeklyRet BNP Paribas Emerging Eq Cl Eur C \n", + "2370188 2015-12-30 WeeklyRet Capital Group EM Debt (LUX) B \n", + "2370189 2015-12-30 WeeklyRet BGF Global Allocation A2 EUR Hedged \n", + "2370190 2015-12-30 WeeklyRet Exane Funds 2 Exane Pleiade B EUR Acc \n", + "2370191 2015-12-30 WeeklyRet Invesco Euro Short Term Bond A EUR Acc \n", + "\n", + " return percentile \n", + "2370187 -1.623478 83.0 \n", + "2370188 -0.162338 88.0 \n", + "2370189 0.387712 44.0 \n", + "2370190 0.082896 60.0 \n", + "2370191 0.034302 35.0 " + ] + }, + "execution_count": 12, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df_comp_perf.tail() #Performance des concurrents, avec rang relatif.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "id": "05b87839-dc25-4f0d-8bf8-f43ac8c932ee", + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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NameISINSecId_MSFundIdGlobal Broad Category GroupGlobal CategoryMorningstar CategoryIndex FundEnhanced IndexInception DateInception Date of Fund's Oldest Share ClassDomicile
26Vontobel mtx EM Ldrs ex Chn S USD AccLU2601939452F00001G9PTFS0000IAHLEquityGlobal Emerging Markets EquityEAA Fund Global Emerging Markets ex-China EquityNoNo2023-09-202023-09-20Luxembourg
27PineBridge Asia exJapan SmCap Eq AIE00B12V2V27FOGBR05LNRFSGBR06C4WEquityAsia ex-Japan EquityEAA Fund Asia ex-Japan Small/Mid-Cap EquityNoNo2006-04-191994-09-01Ireland
28abrdn-Asian Smaller Companies A Acc USDLU0231459107F0GBR06X7HFSGBR05GSYEquityAsia ex-Japan EquityEAA Fund Asia ex-Japan Small/Mid-Cap EquityNoNo2004-05-142004-05-14Luxembourg
29Allianz Asian Small Cap Equity A EURLU2420271673F00001DBJJFS0000ASMBEquityAsia ex-Japan EquityEAA Fund Asia ex-Japan Small/Mid-Cap EquityNoNo2022-01-052014-05-13Luxembourg
30Allianz Asia Ex China Equity A (USD)LU0348788117F000000F7VFSUSA08CNDEquityAsia ex-Japan EquityEAA Fund Asia ex-Japan EquityNoNo2008-10-032008-10-03Luxembourg
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" + ], + "text/plain": [ + " Name ISIN SecId_MS \\\n", + "26 Vontobel mtx EM Ldrs ex Chn S USD Acc LU2601939452 F00001G9PT \n", + "27 PineBridge Asia exJapan SmCap Eq A IE00B12V2V27 FOGBR05LNR \n", + "28 abrdn-Asian Smaller Companies A Acc USD LU0231459107 F0GBR06X7H \n", + "29 Allianz Asian Small Cap Equity A EUR LU2420271673 F00001DBJJ \n", + "30 Allianz Asia Ex China Equity A (USD) LU0348788117 F000000F7V \n", + "\n", + " FundId Global Broad Category Group Global Category \\\n", + "26 FS0000IAHL Equity Global Emerging Markets Equity \n", + "27 FSGBR06C4W Equity Asia ex-Japan Equity \n", + "28 FSGBR05GSY Equity Asia ex-Japan Equity \n", + "29 FS0000ASMB Equity Asia ex-Japan Equity \n", + "30 FSUSA08CND Equity Asia ex-Japan Equity \n", + "\n", + " Morningstar Category Index Fund \\\n", + "26 EAA Fund Global Emerging Markets ex-China Equity No \n", + "27 EAA Fund Asia ex-Japan Small/Mid-Cap Equity No \n", + "28 EAA Fund Asia ex-Japan Small/Mid-Cap Equity No \n", + "29 EAA Fund Asia ex-Japan Small/Mid-Cap Equity No \n", + "30 EAA Fund Asia ex-Japan Equity No \n", + "\n", + " Enhanced Index Inception Date Inception Date of Fund's Oldest Share Class \\\n", + "26 No 2023-09-20 2023-09-20 \n", + "27 No 2006-04-19 1994-09-01 \n", + "28 No 2004-05-14 2004-05-14 \n", + "29 No 2022-01-05 2014-05-13 \n", + "30 No 2008-10-03 2008-10-03 \n", + "\n", + " Domicile \n", + "26 Luxembourg \n", + "27 Ireland \n", + "28 Luxembourg \n", + "29 Luxembourg \n", + "30 Luxembourg " + ] + }, + "execution_count": 13, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df_peers.tail() #Ça permet de mesurer la pression concurrentielle." + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "id": "9128c36b-33fd-44b2-a622-d3059f482c02", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Index(['Unnamed: 0', 'Agreement - Code', 'Company - Id',\n", + " 'Company - Ultimate Parent Id', 'Registrar Account - ID',\n", + " 'Registrar Account - Region', 'RegistrarAccount - Country',\n", + " 'Product - Asset Type', 'Product - Strategy', 'Product - Legal Status',\n", + " 'Product - Is Dedie ?', 'Product - Fund', 'Product - Shareclass Type',\n", + " 'Product - Shareclass Currency', 'Product - Isin',\n", + " 'Centralisation Date', 'Quantity - Subscription',\n", + " 'Quantity - Redemption', 'Quantity - NetFlows',\n", + " 'Value Ccy - Subscription', 'Value Ccy - Redemption',\n", + " 'Value Ccy - NetFlows', 'Value € - Subscription',\n", + " 'Value € - Redemption', 'Value € - NetFlows'],\n", + " dtype='object')\n", + "Index(['Unnamed: 0.1', 'Unnamed: 0', 'Agreement - Code', 'Company - Id',\n", + " 'Company - Ultimate Parent Id', 'Registrar Account - ID',\n", + " 'Registrar Account - Region', 'RegistrarAccount - Country',\n", + " 'Product - Asset Type', 'Product - Strategy', 'Product - Legal Status',\n", + " 'Product - Is Dedie ?', 'Product - Fund', 'Product - Shareclass Type',\n", + " 'Product - Shareclass Currency', 'Product - Isin',\n", + " 'Centralisation Date', 'Quantity - AUM', 'Value - AUM CCY',\n", + " 'Value - AUM €', 'repair_flag'],\n", + " dtype='object')\n", + "Index(['Registrar Account - ID', 'n_days', 'n_transactions', 'total_netflows',\n", + " 'mean_flow', 'std_flow', 'total_subscription', 'total_redemption',\n", + " 'churn_ratio', 'churn_flag', 'activity_score', 'flow_volatility',\n", + " 'inertia_ratio'],\n", + " dtype='object')\n", + "Index(['Dat', 'Isin', 'Aum Eur', 'Price (TF PartPrice)', 'PriceBench'], dtype='object')\n", + "Index(['Date', 'Yld to Maturity'], dtype='object')\n", + "Index(['shareClass_name', 'SecId_MS', 'ISIN', 'FundId', 'Date',\n", + " 'Estimated Fund-level Net Flow (Daily)'],\n", + " dtype='object')\n", + "Index(['Date', 'perfPeriod', 'shareClass_name', 'return', 'percentile'], dtype='object')\n", + "Index(['Name', 'ISIN', 'SecId_MS', 'FundId', 'Global Broad Category Group',\n", + " 'Global Category', 'Morningstar Category', 'Index Fund',\n", + " 'Enhanced Index', 'Inception Date',\n", + " 'Inception Date of Fund's Oldest Share Class', 'Domicile'],\n", + " dtype='object')\n" + ] + } + ], + "source": [ + "for d in [df_flows,df_aum,df_client,df_nav,df_rates,df_comp_flows,df_comp_perf,df_peers]:\n", + " print (d.columns)" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "id": "7e82983d-aaf3-40c1-9186-2cb13c6274d7", + "metadata": {}, + "outputs": [], + "source": [ + "ID_COL = \"Registrar Account - ID\"\n", + "ISIN_COL = \"Product - Isin\"\n", + "\n", + "FLOW_DATE_COL = \"Centralisation Date\"\n", + "AUM_DATE_COL = \"Centralisation Date\"\n", + "\n", + "FLOW_QTY_COL = \"Quantity - NetFlows\"\n", + "FLOW_SUB_COL = \"Quantity - Subscription\"\n", + "FLOW_RED_COL = \"Quantity - Redemption\"\n", + "\n", + "AUM_QTY_COL = \"Quantity - AUM\"\n", + "AUM_VAL_COL = \"Value - AUM €\"\n", + "\n", + "REGION_COL = \"Registrar Account - Region\"\n", + "COUNTRY_COL = \"RegistrarAccount - Country\"\n", + "\n", + "NAV_DATE_COL = \"Dat\"\n", + "NAV_ISIN_COL = \"Isin\"\n", + "NAV_PRICE_COL = \"Price (TF PartPrice)\"\n", + "NAV_BENCH_COL = \"PriceBench\"\n", + "\n", + "RATE_DATE_COL = \"Date\"\n", + "RATE_VAL_COL = \"Yld to Maturity\"" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "id": "6dd153e1-7e6f-47b7-81b1-c77fa763a087", + "metadata": {}, + "outputs": [], + "source": [ + "for df, date_col in [\n", + " (df_flows, FLOW_DATE_COL),\n", + " (df_aum, AUM_DATE_COL),\n", + " (df_nav, NAV_DATE_COL),\n", + " (df_rates, RATE_DATE_COL),\n", + "]:\n", + " df[date_col] = pd.to_datetime(df[date_col], errors=\"coerce\")\n", + "\n", + "df_flows[\"month\"] = df_flows[FLOW_DATE_COL].dt.to_period(\"M\").dt.to_timestamp()\n", + "df_aum[\"month\"] = df_aum[AUM_DATE_COL].dt.to_period(\"M\").dt.to_timestamp()\n", + "df_nav[\"month\"] = df_nav[NAV_DATE_COL].dt.to_period(\"M\").dt.to_timestamp()\n", + "df_rates[\"month\"] = df_rates[RATE_DATE_COL].dt.to_period(\"M\").dt.to_timestamp()\n", + "\n", + "for col in [FLOW_QTY_COL, FLOW_SUB_COL, FLOW_RED_COL]:\n", + " df_flows[col] = pd.to_numeric(df_flows[col], errors=\"coerce\")\n", + "\n", + "for col in [AUM_QTY_COL, AUM_VAL_COL]:\n", + " df_aum[col] = pd.to_numeric(df_aum[col], errors=\"coerce\")\n", + "\n", + "for col in [NAV_PRICE_COL, NAV_BENCH_COL]:\n", + " df_nav[col] = pd.to_numeric(df_nav[col], errors=\"coerce\")\n", + "\n", + "df_rates[RATE_VAL_COL] = pd.to_numeric(df_rates[RATE_VAL_COL], errors=\"coerce\")\n", + "\n", + "for df, col in [(df_flows, ISIN_COL), (df_aum, ISIN_COL)]:\n", + " df[col] = df[col].astype(str).str.strip()\n", + "\n", + "df_nav[NAV_ISIN_COL] = df_nav[NAV_ISIN_COL].astype(str).str.strip()\n", + "\n", + "''' Pourquoi le mois ?\n", + "Parce que :\n", + "les flux journaliers sont trop bruités\n", + "le churn et les comportements de portefeuille se lisent mieux au mois #le churn signifie qu’un client quitte le fonds\n", + "la plupart des comportements d’allocation sont plus lisibles à cette fréquence'''" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "id": "ac43bb83-5800-4000-af9f-8cd4cae9e9d5", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "(4906475, 18)\n" + ] + }, + { + "data": { + "text/html": [ + "
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Registrar Account - IDProduct - Isinmonthaum_qtyaum_valregioncountrynet_flow_qtygross_flow_qtysub_qtyred_qtyn_txregion_flowcountry_flowactive_rel_monthholding_rel_monthflow_to_aum_relturnover_rel
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18307LU00991619932020-08-01300.075603.00SWITZERLANDSWITZERLAND100.0100.0100.00.01.0SWITZERLANDSWITZERLAND113.333333e-013.333333e-01
28307LU00991619932024-05-010.00.00SWITZERLANDSWITZERLAND-100.0100.00.0-100.01.0SWITZERLANDSWITZERLAND10-1.000000e+111.000000e+11
38307LU01644555022015-07-01786.0219144.66SWITZERLANDSWITZERLAND-35.035.00.0-35.01.0SWITZERLANDSWITZERLAND11-4.452926e-024.452926e-02
48307LU01644555022015-10-01886.0231538.38SWITZERLANDSWITZERLAND100.0100.0100.00.01.0SWITZERLANDSWITZERLAND111.128668e-011.128668e-01
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" + ], + "text/plain": [ + " Registrar Account - ID Product - Isin month aum_qty aum_val \\\n", + "0 8307 LU0099161993 2017-03-01 200.0 37836.00 \n", + "1 8307 LU0099161993 2020-08-01 300.0 75603.00 \n", + "2 8307 LU0099161993 2024-05-01 0.0 0.00 \n", + "3 8307 LU0164455502 2015-07-01 786.0 219144.66 \n", + "4 8307 LU0164455502 2015-10-01 886.0 231538.38 \n", + "\n", + " region country net_flow_qty gross_flow_qty sub_qty red_qty \\\n", + "0 SWITZERLAND SWITZERLAND -138.0 138.0 0.0 -138.0 \n", + "1 SWITZERLAND SWITZERLAND 100.0 100.0 100.0 0.0 \n", + "2 SWITZERLAND SWITZERLAND -100.0 100.0 0.0 -100.0 \n", + "3 SWITZERLAND SWITZERLAND -35.0 35.0 0.0 -35.0 \n", + "4 SWITZERLAND SWITZERLAND 100.0 100.0 100.0 0.0 \n", + "\n", + " n_tx region_flow country_flow active_rel_month holding_rel_month \\\n", + "0 1.0 SWITZERLAND SWITZERLAND 1 1 \n", + "1 1.0 SWITZERLAND SWITZERLAND 1 1 \n", + "2 1.0 SWITZERLAND SWITZERLAND 1 0 \n", + "3 1.0 SWITZERLAND SWITZERLAND 1 1 \n", + "4 1.0 SWITZERLAND SWITZERLAND 1 1 \n", + "\n", + " flow_to_aum_rel turnover_rel \n", + "0 -6.900000e-01 6.900000e-01 \n", + "1 3.333333e-01 3.333333e-01 \n", + "2 -1.000000e+11 1.000000e+11 \n", + "3 -4.452926e-02 4.452926e-02 \n", + "4 1.128668e-01 1.128668e-01 " + ] + }, + "execution_count": 17, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "'''On veut s’assurer que l’univers des produits Carmignac détenus par les clients est bien cohérent avec l’univers des NAV \n", + "utilisés pour calculer les performances.'''\n", + "\n", + "#pour merge flux et aum c est un full\n", + "'''\n", + "Si un mois existe :\n", + "dans les flux mais pas dans les encours → la clé est gardée\n", + "dans les encours mais pas dans les flux → la clé est gardée\n", + "dans les deux → une seule ligne de clé\n", + "👉 C’est donc une logique proche d’un full outer join, mais construite manuellement.\n", + "'''\n", + "df_flows_rel_m = (\n", + " df_flows\n", + " .dropna(subset=[ID_COL, ISIN_COL, \"month\"])\n", + " .assign(\n", + " gross_flow_qty=lambda x: x[FLOW_QTY_COL].abs(),\n", + " sub_qty=lambda x: x[FLOW_SUB_COL].fillna(0),\n", + " red_qty=lambda x: x[FLOW_RED_COL].fillna(0)\n", + " )\n", + " .groupby([ID_COL, ISIN_COL, \"month\"], as_index=False)\n", + " .agg(\n", + " net_flow_qty=(FLOW_QTY_COL, \"sum\"),\n", + " gross_flow_qty=(\"gross_flow_qty\", \"sum\"),\n", + " sub_qty=(\"sub_qty\", \"sum\"),\n", + " red_qty=(\"red_qty\", \"sum\"),\n", + " n_tx=(FLOW_QTY_COL, \"size\"),\n", + " region=(REGION_COL, \"last\"),\n", + " country=(COUNTRY_COL, \"last\")\n", + " )\n", + ")\n", + "\n", + "df_aum_rel_m = (\n", + " df_aum\n", + " .dropna(subset=[ID_COL, ISIN_COL, \"month\"])\n", + " .groupby([ID_COL, ISIN_COL, \"month\"], as_index=False)\n", + " .agg(\n", + " aum_qty=(AUM_QTY_COL, \"sum\"),\n", + " aum_val=(AUM_VAL_COL, \"sum\"),\n", + " region=(REGION_COL, \"last\"),\n", + " country=(COUNTRY_COL, \"last\")\n", + " )\n", + ")\n", + "\n", + "keys = pd.concat([\n", + " df_flows_rel_m[[ID_COL, ISIN_COL, \"month\"]],\n", + " df_aum_rel_m[[ID_COL, ISIN_COL, \"month\"]]\n", + "]).drop_duplicates()\n", + "\n", + "df_rel_m = (\n", + " keys\n", + " .merge(df_aum_rel_m, on=[ID_COL, ISIN_COL, \"month\"], how=\"left\", suffixes=(\"\", \"_aum\"))\n", + " .merge(df_flows_rel_m, on=[ID_COL, ISIN_COL, \"month\"], how=\"left\", suffixes=(\"\", \"_flow\"))\n", + ")\n", + "\n", + "for c in [\"aum_qty\", \"aum_val\", \"net_flow_qty\", \"gross_flow_qty\", \"sub_qty\", \"red_qty\", \"n_tx\"]:\n", + " df_rel_m[c] = df_rel_m[c].fillna(0)\n", + "\n", + "df_rel_m[\"region\"] = df_rel_m[\"region\"].fillna(df_rel_m.get(\"region_flow\"))\n", + "df_rel_m[\"country\"] = df_rel_m[\"country\"].fillna(df_rel_m.get(\"country_flow\"))\n", + "\n", + "df_rel_m[\"active_rel_month\"] = (df_rel_m[\"gross_flow_qty\"] > 0).astype(int)\n", + "df_rel_m[\"holding_rel_month\"] = (df_rel_m[\"aum_qty\"] > 0).astype(int)\n", + "df_rel_m[\"flow_to_aum_rel\"] = df_rel_m[\"net_flow_qty\"] / (df_rel_m[\"aum_qty\"].abs() + EPS)\n", + "df_rel_m[\"turnover_rel\"] = df_rel_m[\"gross_flow_qty\"] / (df_rel_m[\"aum_qty\"].abs() + EPS)\n", + "\n", + "print(df_rel_m.shape)\n", + "df_rel_m.head()\n", + "\n", + "\n", + "'''\n", + "On agrège séparément :\n", + "les flows au niveau client-produit-mois\n", + "les AUM au niveau client-produit-mois\n", + "\n", + "Puis on les fusionne.\n", + "\n", + "Datasets créés : df_flows_rel_m\n", + "Table des transactions mensuelles au niveau : Registrar Account - ID × Product - Isin × month'''" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "id": "2597a326-88f7-493f-830b-31826112eefa", + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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Product - Isinmonthret_fund_mret_bench_mactive_return_m
617756FR00074867092012-11-01NaNNaNNaN
613737FR00101351032010-03-01NaNNaNNaN
613810FR00101351032010-06-010.070565NaNNaN
614192FR00101351032011-12-01-0.024482NaNNaN
614258FR00101351032012-03-010.028958NaNNaN
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" + ], + "text/plain": [ + " Product - Isin month ret_fund_m ret_bench_m active_return_m\n", + "617756 FR0007486709 2012-11-01 NaN NaN NaN\n", + "613737 FR0010135103 2010-03-01 NaN NaN NaN\n", + "613810 FR0010135103 2010-06-01 0.070565 NaN NaN\n", + "614192 FR0010135103 2011-12-01 -0.024482 NaN NaN\n", + "614258 FR0010135103 2012-03-01 0.028958 NaN NaN" + ] + }, + "execution_count": 18, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df_nav_m = (\n", + " df_nav\n", + " .dropna(subset=[NAV_ISIN_COL, \"month\", NAV_PRICE_COL])\n", + " .sort_values([NAV_ISIN_COL, \"month\"])\n", + " .groupby([NAV_ISIN_COL, \"month\"], as_index=False)\n", + " .tail(1)\n", + " .copy()\n", + ")\n", + "\n", + "df_nav_m[\"ret_fund_m\"] = df_nav_m.groupby(NAV_ISIN_COL)[NAV_PRICE_COL].pct_change()\n", + "df_nav_m[\"ret_bench_m\"] = df_nav_m.groupby(NAV_ISIN_COL)[NAV_BENCH_COL].pct_change()\n", + "df_nav_m[\"active_return_m\"] = df_nav_m[\"ret_fund_m\"] - df_nav_m[\"ret_bench_m\"]\n", + "\n", + "df_nav_m = df_nav_m.rename(columns={NAV_ISIN_COL: ISIN_COL})\n", + "df_nav_m = df_nav_m[[ISIN_COL, \"month\", \"ret_fund_m\", \"ret_bench_m\", \"active_return_m\"]]\n", + "\n", + "df_nav_m.head()\n", + "#on agrège au niveau mensuel en prenant la dernière observation disponible du mois. pour nav et rates " + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "id": "73cb228a-4c21-4407-a3f5-526c4b88639f", + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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monthYld to Maturitydelta_rate_m
02014-12-010.144NaN
222015-01-010.086-0.058
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652015-03-010.050-0.014
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" + ], + "text/plain": [ + " month Yld to Maturity delta_rate_m\n", + "0 2014-12-01 0.144 NaN\n", + "22 2015-01-01 0.086 -0.058\n", + "43 2015-02-01 0.064 -0.022\n", + "65 2015-03-01 0.050 -0.014\n", + "86 2015-04-01 -0.027 -0.077" + ] + }, + "execution_count": 19, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df_rates_m = (\n", + " df_rates\n", + " .dropna(subset=[\"month\", RATE_VAL_COL])\n", + " .sort_values(RATE_DATE_COL)\n", + " .groupby(\"month\", as_index=False)\n", + " .tail(1)\n", + " .copy()\n", + ")\n", + "\n", + "df_rates_m[\"delta_rate_m\"] = df_rates_m[RATE_VAL_COL].diff()\n", + "df_rates_m = df_rates_m[[\"month\", RATE_VAL_COL, \"delta_rate_m\"]]\n", + "\n", + "df_rates_m.head()" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "id": "1e1f0fa9-9c62-4a5e-8ee1-2605c76fb80a", + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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Registrar Account - IDProduct - Isinmonthaum_qtyaum_valregioncountrynet_flow_qtygross_flow_qtysub_qtyred_qtyn_txregion_flowcountry_flowactive_rel_monthholding_rel_monthflow_to_aum_relturnover_relret_fund_mret_bench_mactive_return_mdelta_rate_m
08307LU00991619932017-03-01200.037836.00SWITZERLANDSWITZERLAND-138.0138.00.0-138.01.0SWITZERLANDSWITZERLAND11-6.900000e-016.900000e-010.1750000.00.0-0.010
18307LU00991619932020-08-01300.075603.00SWITZERLANDSWITZERLAND100.0100.0100.00.01.0SWITZERLANDSWITZERLAND113.333333e-013.333333e-010.0000000.00.00.000
28307LU00991619932024-05-010.00.00SWITZERLANDSWITZERLAND-100.0100.00.0-100.01.0SWITZERLANDSWITZERLAND10-1.000000e+111.000000e+110.0858090.00.00.004
38307LU01644555022015-07-01786.0219144.66SWITZERLANDSWITZERLAND-35.035.00.0-35.01.0SWITZERLANDSWITZERLAND11-4.452926e-024.452926e-02-0.0548390.00.0-0.042
48307LU01644555022015-10-01886.0231538.38SWITZERLANDSWITZERLAND100.0100.0100.00.01.0SWITZERLANDSWITZERLAND111.128668e-011.128668e-010.0000000.00.0-0.007
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" + ], + "text/plain": [ + " Registrar Account - ID Product - Isin month aum_qty aum_val \\\n", + "0 8307 LU0099161993 2017-03-01 200.0 37836.00 \n", + "1 8307 LU0099161993 2020-08-01 300.0 75603.00 \n", + "2 8307 LU0099161993 2024-05-01 0.0 0.00 \n", + "3 8307 LU0164455502 2015-07-01 786.0 219144.66 \n", + "4 8307 LU0164455502 2015-10-01 886.0 231538.38 \n", + "\n", + " region country net_flow_qty gross_flow_qty sub_qty red_qty \\\n", + "0 SWITZERLAND SWITZERLAND -138.0 138.0 0.0 -138.0 \n", + "1 SWITZERLAND SWITZERLAND 100.0 100.0 100.0 0.0 \n", + "2 SWITZERLAND SWITZERLAND -100.0 100.0 0.0 -100.0 \n", + "3 SWITZERLAND SWITZERLAND -35.0 35.0 0.0 -35.0 \n", + "4 SWITZERLAND SWITZERLAND 100.0 100.0 100.0 0.0 \n", + "\n", + " n_tx region_flow country_flow active_rel_month holding_rel_month \\\n", + "0 1.0 SWITZERLAND SWITZERLAND 1 1 \n", + "1 1.0 SWITZERLAND SWITZERLAND 1 1 \n", + "2 1.0 SWITZERLAND SWITZERLAND 1 0 \n", + "3 1.0 SWITZERLAND SWITZERLAND 1 1 \n", + "4 1.0 SWITZERLAND SWITZERLAND 1 1 \n", + "\n", + " flow_to_aum_rel turnover_rel ret_fund_m ret_bench_m active_return_m \\\n", + "0 -6.900000e-01 6.900000e-01 0.175000 0.0 0.0 \n", + "1 3.333333e-01 3.333333e-01 0.000000 0.0 0.0 \n", + "2 -1.000000e+11 1.000000e+11 0.085809 0.0 0.0 \n", + "3 -4.452926e-02 4.452926e-02 -0.054839 0.0 0.0 \n", + "4 1.128668e-01 1.128668e-01 0.000000 0.0 0.0 \n", + "\n", + " delta_rate_m \n", + "0 -0.010 \n", + "1 0.000 \n", + "2 0.004 \n", + "3 -0.042 \n", + "4 -0.007 " + ] + }, + "execution_count": 20, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df_rel_m = df_rel_m.merge(\n", + " df_nav_m,\n", + " on=[ISIN_COL, \"month\"],\n", + " how=\"left\"\n", + ")\n", + "\n", + "df_rel_m = df_rel_m.merge(\n", + " df_rates_m[[\"month\", \"delta_rate_m\"]],\n", + " on=\"month\",\n", + " how=\"left\"\n", + ")\n", + "\n", + "for c in [\"ret_fund_m\", \"ret_bench_m\", \"active_return_m\", \"delta_rate_m\"]:\n", + " df_rel_m[c] = df_rel_m[c].fillna(0)\n", + "\n", + "df_rel_m.head()\n", + "\n", + "'''\n", + "Créer un dataset complet contenant : fsionner ala left uaane hasab rel m shufyo bkhdu inter\n", + "client + produit + performance + environnement macro.'''" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "id": "41a4ac43-9035-46f3-8cba-5ba0d88ec98a", + "metadata": {}, + "outputs": [], + "source": [ + "def weighted_mean(x, w):\n", + " x = np.asarray(x, dtype=float)\n", + " w = np.asarray(w, dtype=float)\n", + " mask = np.isfinite(x) & np.isfinite(w) & (w >= 0)\n", + " if mask.sum() == 0 or w[mask].sum() == 0:\n", + " return np.nan\n", + " return np.average(x[mask], weights=w[mask])\n", + "\n", + "def hhi_from_weights(w):\n", + " w = np.asarray(w, dtype=float)\n", + " w = np.clip(w, 0, None)\n", + " s = w.sum()\n", + " if s <= 0:\n", + " return np.nan\n", + " p = w / s\n", + " return np.sum(p**2)\n", + "\n", + "def compute_trend(y):\n", + " y = np.asarray(y, dtype=float)\n", + " if len(y) < 4:\n", + " return np.nan\n", + " x = np.arange(len(y)).reshape(-1, 1)\n", + " mask = np.isfinite(y)\n", + " if mask.sum() < 4:\n", + " return np.nan\n", + " reg = LinearRegression().fit(x[mask], y[mask])\n", + " return reg.coef_[0]\n", + "\n", + "def compute_beta(y, x):\n", + " y = np.asarray(y, dtype=float)\n", + " x = np.asarray(x, dtype=float)\n", + " mask = np.isfinite(y) & np.isfinite(x)\n", + " if mask.sum() < 6:\n", + " return np.nan\n", + " reg = LinearRegression().fit(x[mask].reshape(-1, 1), y[mask])\n", + " return reg.coef_[0]" + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "id": "79facbea-b77c-4cf9-95f7-526e1dedf9b0", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "(1002344, 21)\n" + ] + }, + { + "data": { + "text/html": [ + "
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Registrar Account - IDmonthaum_qtyaum_valnet_flow_qtygross_flow_qtysub_qtyred_qtyn_txn_isin_heldn_isin_activedelta_rate_mregioncountryactive_monthflow_to_aum_mturnover_msub_share_mred_share_maum_peak_to_dateaum_drawdown
079052015-01-010.00.00.00.00.00.00.000-0.058LUXEMBOURGLUXEMBOURG00.00.00.00.00.01.0
179052015-02-010.00.00.00.00.00.00.000-0.022LUXEMBOURGLUXEMBOURG00.00.00.00.00.01.0
279052015-03-010.00.00.00.00.00.00.000-0.014LUXEMBOURGLUXEMBOURG00.00.00.00.00.01.0
379052015-04-010.00.00.00.00.00.00.000-0.077LUXEMBOURGLUXEMBOURG00.00.00.00.00.01.0
479052015-05-010.00.00.00.00.00.00.000-0.053LUXEMBOURGLUXEMBOURG00.00.00.00.00.01.0
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" + ], + "text/plain": [ + " Registrar Account - ID month aum_qty aum_val net_flow_qty \\\n", + "0 7905 2015-01-01 0.0 0.0 0.0 \n", + "1 7905 2015-02-01 0.0 0.0 0.0 \n", + "2 7905 2015-03-01 0.0 0.0 0.0 \n", + "3 7905 2015-04-01 0.0 0.0 0.0 \n", + "4 7905 2015-05-01 0.0 0.0 0.0 \n", + "\n", + " gross_flow_qty sub_qty red_qty n_tx n_isin_held n_isin_active \\\n", + "0 0.0 0.0 0.0 0.0 0 0 \n", + "1 0.0 0.0 0.0 0.0 0 0 \n", + "2 0.0 0.0 0.0 0.0 0 0 \n", + "3 0.0 0.0 0.0 0.0 0 0 \n", + "4 0.0 0.0 0.0 0.0 0 0 \n", + "\n", + " delta_rate_m region country active_month flow_to_aum_m \\\n", + "0 -0.058 LUXEMBOURG LUXEMBOURG 0 0.0 \n", + "1 -0.022 LUXEMBOURG LUXEMBOURG 0 0.0 \n", + "2 -0.014 LUXEMBOURG LUXEMBOURG 0 0.0 \n", + "3 -0.077 LUXEMBOURG LUXEMBOURG 0 0.0 \n", + "4 -0.053 LUXEMBOURG LUXEMBOURG 0 0.0 \n", + "\n", + " turnover_m sub_share_m red_share_m aum_peak_to_date aum_drawdown \n", + "0 0.0 0.0 0.0 0.0 1.0 \n", + "1 0.0 0.0 0.0 0.0 1.0 \n", + "2 0.0 0.0 0.0 0.0 1.0 \n", + "3 0.0 0.0 0.0 0.0 1.0 \n", + "4 0.0 0.0 0.0 0.0 1.0 " + ] + }, + "execution_count": 34, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# =========================\n", + "# ULTRA LIGHT VERSION\n", + "# =========================\n", + "\n", + "tmp = df_rel_m.copy()\n", + "tmp[\"isin_held_flag\"] = (tmp[\"aum_qty\"] > 0).astype(int)\n", + "tmp[\"isin_active_flag\"] = (tmp[\"gross_flow_qty\"] > 0).astype(int)\n", + "\n", + "df_month = (\n", + " tmp.groupby([ID_COL, \"month\"], as_index=False)\n", + " .agg(\n", + " aum_qty=(\"aum_qty\", \"sum\"),\n", + " aum_val=(\"aum_val\", \"sum\"),\n", + " net_flow_qty=(\"net_flow_qty\", \"sum\"),\n", + " gross_flow_qty=(\"gross_flow_qty\", \"sum\"),\n", + " sub_qty=(\"sub_qty\", \"sum\"),\n", + " red_qty=(\"red_qty\", \"sum\"),\n", + " n_tx=(\"n_tx\", \"sum\"),\n", + " n_isin_held=(\"isin_held_flag\", \"sum\"),\n", + " n_isin_active=(\"isin_active_flag\", \"sum\"),\n", + " delta_rate_m=(\"delta_rate_m\", \"first\"),\n", + " region=(\"region\", \"first\"),\n", + " country=(\"country\", \"first\"),\n", + " )\n", + " .sort_values([ID_COL, \"month\"])\n", + " .reset_index(drop=True)\n", + ")\n", + "\n", + "df_month[\"active_month\"] = (df_month[\"gross_flow_qty\"] > 0).astype(int)\n", + "df_month[\"flow_to_aum_m\"] = df_month[\"net_flow_qty\"] / (df_month[\"aum_qty\"].abs() + EPS)\n", + "df_month[\"turnover_m\"] = df_month[\"gross_flow_qty\"] / (df_month[\"aum_qty\"].abs() + EPS)\n", + "df_month[\"sub_share_m\"] = df_month[\"sub_qty\"] / (df_month[\"gross_flow_qty\"] + EPS)\n", + "df_month[\"red_share_m\"] = df_month[\"red_qty\"] / (df_month[\"gross_flow_qty\"] + EPS)\n", + "\n", + "df_month[\"aum_peak_to_date\"] = df_month.groupby(ID_COL)[\"aum_qty\"].cummax()\n", + "df_month[\"aum_drawdown\"] = 1 - (df_month[\"aum_qty\"] / (df_month[\"aum_peak_to_date\"] + EPS))\n", + "\n", + "print(df_month.shape)\n", + "df_month.head()" + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "id": "1a2d234f-42f8-4cd1-b50e-7fc3f8c829d2", + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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Registrar Account - IDProduct - Isinrel_n_monthsrel_active_monthsrel_holding_monthsrel_aum_meanrel_turnover_meanrel_turnover_volrel_flow_to_aum_volrel_n_txrel_full_exit_countrel_entry_count
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17905FR001014760380000.00.00.00.00.000
27905FR001014898180000.00.00.00.00.000
37905FR001014899980000.00.00.00.00.000
47905FR001014909680000.00.00.00.00.000
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" + ], + "text/plain": [ + " Registrar Account - ID Product - Isin rel_n_months rel_active_months \\\n", + "0 7905 FR0010135103 80 0 \n", + "1 7905 FR0010147603 80 0 \n", + "2 7905 FR0010148981 80 0 \n", + "3 7905 FR0010148999 80 0 \n", + "4 7905 FR0010149096 80 0 \n", + "\n", + " rel_holding_months rel_aum_mean rel_turnover_mean rel_turnover_vol \\\n", + "0 0 0.0 0.0 0.0 \n", + "1 0 0.0 0.0 0.0 \n", + "2 0 0.0 0.0 0.0 \n", + "3 0 0.0 0.0 0.0 \n", + "4 0 0.0 0.0 0.0 \n", + "\n", + " rel_flow_to_aum_vol rel_n_tx rel_full_exit_count rel_entry_count \n", + "0 0.0 0.0 0 0 \n", + "1 0.0 0.0 0 0 \n", + "2 0.0 0.0 0 0 \n", + "3 0.0 0.0 0 0 \n", + "4 0.0 0.0 0 0 " + ] + }, + "execution_count": 35, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "tmp = df_rel_m.sort_values([ID_COL, ISIN_COL, \"month\"]).copy()\n", + "tmp[\"prev_aum\"] = tmp.groupby([ID_COL, ISIN_COL])[\"aum_qty\"].shift(1)\n", + "tmp[\"full_exit_event\"] = ((tmp[\"prev_aum\"] > 0) & (tmp[\"aum_qty\"] <= 0)).astype(int)\n", + "tmp[\"entry_event\"] = ((tmp[\"prev_aum\"].fillna(0) <= 0) & (tmp[\"aum_qty\"] > 0)).astype(int)\n", + "\n", + "df_rel_feat = (\n", + " tmp.groupby([ID_COL, ISIN_COL], as_index=False)\n", + " .agg(\n", + " rel_n_months=(\"month\", \"nunique\"),\n", + " rel_active_months=(\"active_rel_month\", \"sum\"),\n", + " rel_holding_months=(\"holding_rel_month\", \"sum\"),\n", + " rel_aum_mean=(\"aum_qty\", \"mean\"),\n", + " rel_turnover_mean=(\"turnover_rel\", \"mean\"),\n", + " rel_turnover_vol=(\"turnover_rel\", \"std\"),\n", + " rel_flow_to_aum_vol=(\"flow_to_aum_rel\", \"std\"),\n", + " rel_n_tx=(\"n_tx\", \"sum\"),\n", + " rel_full_exit_count=(\"full_exit_event\", \"sum\"),\n", + " rel_entry_count=(\"entry_event\", \"sum\")\n", + " )\n", + ")\n", + "\n", + "df_rel_feat.head()" + ] + }, + { + "cell_type": "code", + "execution_count": 38, + "id": "9b61ce6a-1f54-423a-8a54-9897fe1bce20", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "(17238, 34)\n" + ] + }, + { + "data": { + "text/html": [ + "
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Registrar Account - IDn_monthsn_active_monthsflow_freqaum_qty_meanaum_qty_medianaum_qty_maxaum_qty_lastnet_flow_qty_sumgross_flow_qty_sumgross_flow_qty_meann_tx_totalnet_flow_volturnover_meanturnover_volflow_to_aum_meanflow_to_aum_volavg_n_isin_heldmax_n_isin_heldsub_share_meanred_share_meandelta_rate_meanaum_drawdown_lastaum_drawdown_maxregioncountryn_isin_totalrel_turnover_mean_avgrel_turnover_vol_avgrel_flow_to_aum_vol_avgfull_exit_countentry_countavg_holding_months_per_isinmax_holding_months_per_isin
079058000.0000000.0000000.000.000.00.0000.000.0000000.00.0000000.0000000.0000000.0000000.0000000.00000000.0000000.00000-0.0089251.01.0LUXEMBOURGLUXEMBOURG120.000000e+000.000000e+000.000000e+00000.0000000
179128000.0000000.0000000.000.000.00.0000.000.0000000.00.0000000.0000000.0000000.0000000.0000000.00000000.0000000.00000-0.0089251.01.0LUXEMBOURGLUXEMBOURG50.000000e+000.000000e+000.000000e+00000.0000000
279628000.0000000.0000000.000.000.00.0000.000.0000000.00.0000000.0000000.0000000.0000000.0000000.00000000.0000000.00000-0.0089251.01.0LUXEMBOURGLUXEMBOURG40.000000e+000.000000e+000.000000e+00000.0000000
38307130770.59230821568.64952320698.9758533.060.027252.124177077.311362.133154161.03508.4552220.0561090.1363580.0114730.13433610.276923150.260828-0.362240.0137231.01.0SWITZERLANDSWITZERLAND295.479069e+093.702940e+103.702940e+10363646.068966120
483546400.0000000.0000000.000.000.00.0000.000.0000000.00.0000000.0000000.0000000.0000000.0000000.00000000.0000000.00000-0.0100631.01.0SWITZERLANDSWITZERLAND10.000000e+000.000000e+000.000000e+00000.0000000
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" + ], + "text/plain": [ + " Registrar Account - ID n_months n_active_months flow_freq aum_qty_mean \\\n", + "0 7905 80 0 0.000000 0.000000 \n", + "1 7912 80 0 0.000000 0.000000 \n", + "2 7962 80 0 0.000000 0.000000 \n", + "3 8307 130 77 0.592308 21568.649523 \n", + "4 8354 64 0 0.000000 0.000000 \n", + "\n", + " aum_qty_median aum_qty_max aum_qty_last net_flow_qty_sum \\\n", + "0 0.00 0.00 0.0 0.000 \n", + "1 0.00 0.00 0.0 0.000 \n", + "2 0.00 0.00 0.0 0.000 \n", + "3 20698.97 58533.06 0.0 27252.124 \n", + "4 0.00 0.00 0.0 0.000 \n", + "\n", + " gross_flow_qty_sum gross_flow_qty_mean n_tx_total net_flow_vol \\\n", + "0 0.00 0.000000 0.0 0.000000 \n", + "1 0.00 0.000000 0.0 0.000000 \n", + "2 0.00 0.000000 0.0 0.000000 \n", + "3 177077.31 1362.133154 161.0 3508.455222 \n", + "4 0.00 0.000000 0.0 0.000000 \n", + "\n", + " turnover_mean turnover_vol flow_to_aum_mean flow_to_aum_vol \\\n", + "0 0.000000 0.000000 0.000000 0.000000 \n", + "1 0.000000 0.000000 0.000000 0.000000 \n", + "2 0.000000 0.000000 0.000000 0.000000 \n", + "3 0.056109 0.136358 0.011473 0.134336 \n", + "4 0.000000 0.000000 0.000000 0.000000 \n", + "\n", + " avg_n_isin_held max_n_isin_held sub_share_mean red_share_mean \\\n", + "0 0.000000 0 0.000000 0.00000 \n", + "1 0.000000 0 0.000000 0.00000 \n", + "2 0.000000 0 0.000000 0.00000 \n", + "3 10.276923 15 0.260828 -0.36224 \n", + "4 0.000000 0 0.000000 0.00000 \n", + "\n", + " delta_rate_mean aum_drawdown_last aum_drawdown_max region \\\n", + "0 -0.008925 1.0 1.0 LUXEMBOURG \n", + "1 -0.008925 1.0 1.0 LUXEMBOURG \n", + "2 -0.008925 1.0 1.0 LUXEMBOURG \n", + "3 0.013723 1.0 1.0 SWITZERLAND \n", + "4 -0.010063 1.0 1.0 SWITZERLAND \n", + "\n", + " country n_isin_total rel_turnover_mean_avg rel_turnover_vol_avg \\\n", + "0 LUXEMBOURG 12 0.000000e+00 0.000000e+00 \n", + "1 LUXEMBOURG 5 0.000000e+00 0.000000e+00 \n", + "2 LUXEMBOURG 4 0.000000e+00 0.000000e+00 \n", + "3 SWITZERLAND 29 5.479069e+09 3.702940e+10 \n", + "4 SWITZERLAND 1 0.000000e+00 0.000000e+00 \n", + "\n", + " rel_flow_to_aum_vol_avg full_exit_count entry_count \\\n", + "0 0.000000e+00 0 0 \n", + "1 0.000000e+00 0 0 \n", + "2 0.000000e+00 0 0 \n", + "3 3.702940e+10 36 36 \n", + "4 0.000000e+00 0 0 \n", + "\n", + " avg_holding_months_per_isin max_holding_months_per_isin \n", + "0 0.000000 0 \n", + "1 0.000000 0 \n", + "2 0.000000 0 \n", + "3 46.068966 120 \n", + "4 0.000000 0 " + ] + }, + "execution_count": 38, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df_rel_client = (\n", + " df_rel_feat\n", + " .groupby(ID_COL, as_index=False)\n", + " .agg(\n", + " n_isin_total=(ISIN_COL, \"nunique\"),\n", + " rel_turnover_mean_avg=(\"rel_turnover_mean\", \"mean\"),\n", + " rel_turnover_vol_avg=(\"rel_turnover_vol\", \"mean\"),\n", + " rel_flow_to_aum_vol_avg=(\"rel_flow_to_aum_vol\", \"mean\"),\n", + " full_exit_count=(\"rel_full_exit_count\", \"sum\"),\n", + " entry_count=(\"rel_entry_count\", \"sum\"),\n", + " avg_holding_months_per_isin=(\"rel_holding_months\", \"mean\"),\n", + " max_holding_months_per_isin=(\"rel_holding_months\", \"max\")\n", + " )\n", + ")\n", + "\n", + "df_client = (\n", + " df_month\n", + " .groupby(ID_COL, as_index=False)\n", + " .agg(\n", + " n_months=(\"month\", \"nunique\"),\n", + " n_active_months=(\"active_month\", \"sum\"),\n", + " flow_freq=(\"active_month\", \"mean\"),\n", + "\n", + " aum_qty_mean=(\"aum_qty\", \"mean\"),\n", + " aum_qty_median=(\"aum_qty\", \"median\"),\n", + " aum_qty_max=(\"aum_qty\", \"max\"),\n", + " aum_qty_last=(\"aum_qty\", \"last\"),\n", + "\n", + " net_flow_qty_sum=(\"net_flow_qty\", \"sum\"),\n", + " gross_flow_qty_sum=(\"gross_flow_qty\", \"sum\"),\n", + " gross_flow_qty_mean=(\"gross_flow_qty\", \"mean\"),\n", + " n_tx_total=(\"n_tx\", \"sum\"),\n", + "\n", + " net_flow_vol=(\"net_flow_qty\", \"std\"),\n", + " turnover_mean=(\"turnover_m\", \"mean\"),\n", + " turnover_vol=(\"turnover_m\", \"std\"),\n", + " flow_to_aum_mean=(\"flow_to_aum_m\", \"mean\"),\n", + " flow_to_aum_vol=(\"flow_to_aum_m\", \"std\"),\n", + "\n", + " avg_n_isin_held=(\"n_isin_held\", \"mean\"),\n", + " max_n_isin_held=(\"n_isin_held\", \"max\"),\n", + "\n", + " sub_share_mean=(\"sub_share_m\", \"mean\"),\n", + " red_share_mean=(\"red_share_m\", \"mean\"),\n", + "\n", + " delta_rate_mean=(\"delta_rate_m\", \"mean\"),\n", + " aum_drawdown_last=(\"aum_drawdown\", \"last\"),\n", + " aum_drawdown_max=(\"aum_drawdown\", \"max\"),\n", + "\n", + " region=(\"region\", \"last\"),\n", + " country=(\"country\", \"last\")\n", + " )\n", + ")\n", + "\n", + "df_client = df_client.merge(df_rel_client, on=ID_COL, how=\"left\")\n", + "\n", + "print(df_client.shape)\n", + "df_client.head()" + ] + }, + { + "cell_type": "code", + "execution_count": 56, + "id": "48d1b22b-f0ca-448e-a330-6b7d64fe48b3", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Index(['Registrar Account - ID', 'n_months', 'n_active_months', 'flow_freq',\n", + " 'aum_qty_mean', 'aum_qty_median', 'aum_qty_max', 'aum_qty_last',\n", + " 'net_flow_qty_sum', 'gross_flow_qty_sum', 'gross_flow_qty_mean',\n", + " 'n_tx_total', 'net_flow_vol', 'turnover_mean', 'turnover_vol',\n", + " 'flow_to_aum_mean', 'flow_to_aum_vol', 'avg_n_isin_held',\n", + " 'max_n_isin_held', 'sub_share_mean', 'red_share_mean',\n", + " 'delta_rate_mean', 'aum_drawdown_last', 'aum_drawdown_max', 'region',\n", + " 'country', 'n_isin_total', 'rel_turnover_mean_avg',\n", + " 'rel_turnover_vol_avg', 'rel_flow_to_aum_vol_avg', 'full_exit_count',\n", + " 'entry_count', 'avg_holding_months_per_isin',\n", + " 'max_holding_months_per_isin', 'flow_trend_12m_x', 'aum_trend_12m_x',\n", + " 'drawdown_trend_12m_x', 'beta_rate_x', 'flow_trend_12m_y',\n", + " 'aum_trend_12m_y', 'drawdown_trend_12m_y', 'beta_rate_y'],\n", + " dtype='object')" + ] + }, + "execution_count": 56, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df_client.columns" + ] + }, + { + "cell_type": "code", + "execution_count": 57, + "id": "a9b34e2b-503f-41a1-9629-670ceb7615ba", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(17238, 42)" + ] + }, + "execution_count": 57, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df_client.shape" + ] + }, + { + "cell_type": "code", + "execution_count": 40, + "id": "934507d6-8aaf-43e2-8a2d-d6cfea0b6af1", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "(17238, 38)\n" + ] + }, + { + "data": { + "text/html": [ + "
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Registrar Account - IDn_monthsn_active_monthsflow_freqaum_qty_meanaum_qty_medianaum_qty_maxaum_qty_lastnet_flow_qty_sumgross_flow_qty_sumgross_flow_qty_meann_tx_totalnet_flow_volturnover_meanturnover_volflow_to_aum_meanflow_to_aum_volavg_n_isin_heldmax_n_isin_heldsub_share_meanred_share_meandelta_rate_meanaum_drawdown_lastaum_drawdown_maxregioncountryn_isin_totalrel_turnover_mean_avgrel_turnover_vol_avgrel_flow_to_aum_vol_avgfull_exit_countentry_countavg_holding_months_per_isinmax_holding_months_per_isinflow_trend_12maum_trend_12mdrawdown_trend_12mbeta_rate
079058000.0000000.0000000.000.000.00.0000.000.0000000.00.0000000.0000000.0000000.0000000.0000000.00000000.0000000.00000-0.0089251.01.0LUXEMBOURGLUXEMBOURG120.000000e+000.000000e+000.000000e+00000.00000000.000000.0000000.000000.000000
179128000.0000000.0000000.000.000.00.0000.000.0000000.00.0000000.0000000.0000000.0000000.0000000.00000000.0000000.00000-0.0089251.01.0LUXEMBOURGLUXEMBOURG50.000000e+000.000000e+000.000000e+00000.00000000.000000.0000000.000000.000000
279628000.0000000.0000000.000.000.00.0000.000.0000000.00.0000000.0000000.0000000.0000000.0000000.00000000.0000000.00000-0.0089251.01.0LUXEMBOURGLUXEMBOURG40.000000e+000.000000e+000.000000e+00000.00000000.000000.0000000.000000.000000
38307130770.59230821568.64952320698.9758533.060.027252.124177077.311362.133154161.03508.4552220.0561090.1363580.0114730.13433610.276923150.260828-0.362240.0137231.01.0SWITZERLANDSWITZERLAND295.479069e+093.702940e+103.702940e+10363646.068966120-0.01049-1142.5874130.01952-0.131741
483546400.0000000.0000000.000.000.00.0000.000.0000000.00.0000000.0000000.0000000.0000000.0000000.00000000.0000000.00000-0.0100631.01.0SWITZERLANDSWITZERLAND10.000000e+000.000000e+000.000000e+00000.00000000.000000.0000000.000000.000000
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" + ], + "text/plain": [ + " Registrar Account - ID n_months n_active_months flow_freq aum_qty_mean \\\n", + "0 7905 80 0 0.000000 0.000000 \n", + "1 7912 80 0 0.000000 0.000000 \n", + "2 7962 80 0 0.000000 0.000000 \n", + "3 8307 130 77 0.592308 21568.649523 \n", + "4 8354 64 0 0.000000 0.000000 \n", + "\n", + " aum_qty_median aum_qty_max aum_qty_last net_flow_qty_sum \\\n", + "0 0.00 0.00 0.0 0.000 \n", + "1 0.00 0.00 0.0 0.000 \n", + "2 0.00 0.00 0.0 0.000 \n", + "3 20698.97 58533.06 0.0 27252.124 \n", + "4 0.00 0.00 0.0 0.000 \n", + "\n", + " gross_flow_qty_sum gross_flow_qty_mean n_tx_total net_flow_vol \\\n", + "0 0.00 0.000000 0.0 0.000000 \n", + "1 0.00 0.000000 0.0 0.000000 \n", + "2 0.00 0.000000 0.0 0.000000 \n", + "3 177077.31 1362.133154 161.0 3508.455222 \n", + "4 0.00 0.000000 0.0 0.000000 \n", + "\n", + " turnover_mean turnover_vol flow_to_aum_mean flow_to_aum_vol \\\n", + "0 0.000000 0.000000 0.000000 0.000000 \n", + "1 0.000000 0.000000 0.000000 0.000000 \n", + "2 0.000000 0.000000 0.000000 0.000000 \n", + "3 0.056109 0.136358 0.011473 0.134336 \n", + "4 0.000000 0.000000 0.000000 0.000000 \n", + "\n", + " avg_n_isin_held max_n_isin_held sub_share_mean red_share_mean \\\n", + "0 0.000000 0 0.000000 0.00000 \n", + "1 0.000000 0 0.000000 0.00000 \n", + "2 0.000000 0 0.000000 0.00000 \n", + "3 10.276923 15 0.260828 -0.36224 \n", + "4 0.000000 0 0.000000 0.00000 \n", + "\n", + " delta_rate_mean aum_drawdown_last aum_drawdown_max region \\\n", + "0 -0.008925 1.0 1.0 LUXEMBOURG \n", + "1 -0.008925 1.0 1.0 LUXEMBOURG \n", + "2 -0.008925 1.0 1.0 LUXEMBOURG \n", + "3 0.013723 1.0 1.0 SWITZERLAND \n", + "4 -0.010063 1.0 1.0 SWITZERLAND \n", + "\n", + " country n_isin_total rel_turnover_mean_avg rel_turnover_vol_avg \\\n", + "0 LUXEMBOURG 12 0.000000e+00 0.000000e+00 \n", + "1 LUXEMBOURG 5 0.000000e+00 0.000000e+00 \n", + "2 LUXEMBOURG 4 0.000000e+00 0.000000e+00 \n", + "3 SWITZERLAND 29 5.479069e+09 3.702940e+10 \n", + "4 SWITZERLAND 1 0.000000e+00 0.000000e+00 \n", + "\n", + " rel_flow_to_aum_vol_avg full_exit_count entry_count \\\n", + "0 0.000000e+00 0 0 \n", + "1 0.000000e+00 0 0 \n", + "2 0.000000e+00 0 0 \n", + "3 3.702940e+10 36 36 \n", + "4 0.000000e+00 0 0 \n", + "\n", + " avg_holding_months_per_isin max_holding_months_per_isin flow_trend_12m \\\n", + "0 0.000000 0 0.00000 \n", + "1 0.000000 0 0.00000 \n", + "2 0.000000 0 0.00000 \n", + "3 46.068966 120 -0.01049 \n", + "4 0.000000 0 0.00000 \n", + "\n", + " aum_trend_12m drawdown_trend_12m beta_rate \n", + "0 0.000000 0.00000 0.000000 \n", + "1 0.000000 0.00000 0.000000 \n", + "2 0.000000 0.00000 0.000000 \n", + "3 -1142.587413 0.01952 -0.131741 \n", + "4 0.000000 0.00000 0.000000 " + ] + }, + "execution_count": 40, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "def compute_trend(y):\n", + " y = np.asarray(y, dtype=float)\n", + " if len(y) < 4:\n", + " return np.nan\n", + " x = np.arange(len(y)).reshape(-1, 1)\n", + " mask = np.isfinite(y)\n", + " if mask.sum() < 4:\n", + " return np.nan\n", + " reg = LinearRegression().fit(x[mask], y[mask])\n", + " return reg.coef_[0]\n", + "\n", + "def compute_beta(y, x):\n", + " y = np.asarray(y, dtype=float)\n", + " x = np.asarray(x, dtype=float)\n", + " mask = np.isfinite(y) & np.isfinite(x)\n", + " if mask.sum() < 6:\n", + " return np.nan\n", + " reg = LinearRegression().fit(x[mask].reshape(-1, 1), y[mask])\n", + " return reg.coef_[0]\n", + "\n", + "rows = []\n", + "\n", + "for acc, g in df_month.groupby(ID_COL):\n", + " g = g.sort_values(\"month\")\n", + "\n", + " flow = g[\"flow_to_aum_m\"].values\n", + " aum = g[\"aum_qty\"].values\n", + " delta_rate = g[\"delta_rate_m\"].values\n", + " drawdown = g[\"aum_drawdown\"].values\n", + "\n", + " rows.append({\n", + " ID_COL: acc,\n", + " \"flow_trend_12m\": compute_trend(flow[-12:]),\n", + " \"aum_trend_12m\": compute_trend(aum[-12:]),\n", + " \"drawdown_trend_12m\": compute_trend(drawdown[-12:]),\n", + " \"beta_rate\": compute_beta(flow, delta_rate),\n", + " })\n", + "\n", + "df_beta = pd.DataFrame(rows)\n", + "\n", + "df_client = df_client.merge(df_beta, on=ID_COL, how=\"left\")\n", + "\n", + "print(df_client.shape)\n", + "df_client.head()" + ] + }, + { + "cell_type": "code", + "execution_count": 58, + "id": "4a35e933-5417-4141-a1f0-ab4edb567d51", + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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Registrar Account - IDn_monthsn_active_monthsflow_freqaum_qty_meanaum_qty_medianaum_qty_maxaum_qty_lastnet_flow_qty_sumgross_flow_qty_sumgross_flow_qty_meann_tx_totalnet_flow_volturnover_meanturnover_volflow_to_aum_meanflow_to_aum_volavg_n_isin_heldmax_n_isin_heldsub_share_meanred_share_meandelta_rate_meanaum_drawdown_lastaum_drawdown_maxregioncountryn_isin_totalrel_turnover_mean_avgrel_turnover_vol_avgrel_flow_to_aum_vol_avgfull_exit_countentry_countavg_holding_months_per_isinmax_holding_months_per_isinflow_trend_12m_xaum_trend_12m_xdrawdown_trend_12m_xbeta_rate_xflow_trend_12m_yaum_trend_12m_ydrawdown_trend_12m_ybeta_rate_ygross_flow_to_aumavg_ticketflow_direction_balanceredemption_biasactivity_intensityexit_rate_per_isinentry_rate_per_isinaum_final_to_peaklog_aum_qty_meanlog_gross_flow_qty_sumlog_n_tx_totallog_avg_ticketcountry_grpregion_grpcluster_k2cluster_k5cluster_k10churn_hardchurn_softchurn_warning
1721742283557260.4561403.305042e+040.000000e+005.372034e+050.05.050329e+058.986925e+051.576653e+0468.04.698930e+049.464842e+123.058166e+132.993416e+123.181011e+130.14035110.219723-0.241074-0.0090351.01.0ITALYITALY34.860324e+121.237445e+131.319247e+13332.66666780.000000e+000.000000e+000.0000006.383533e+130.000000e+000.000000e+000.0000006.383533e+1327.19155913216.0657790.561964-0.4607961.1929821.0000001.0000000.010.40582013.7086974.2341079.489264ITALYITALY000110
172204228606200.0000004.503548e+000.000000e+002.792200e+010.00.000000e+000.000000e+000.000000e+000.00.000000e+000.000000e+000.000000e+000.000000e+000.000000e+000.16129010.0000000.000000-0.0076771.01.0ITALYITALY30.000000e+000.000000e+000.000000e+00113.333333100.000000e+000.000000e+000.0000000.000000e+000.000000e+000.000000e+000.0000000.000000e+000.0000000.0000000.0000000.0000000.0000000.3333330.3333330.01.7053930.0000000.0000000.000000ITALYITALY000110
172214228644400.0000008.169545e-010.000000e+001.797300e+010.00.000000e+000.000000e+000.000000e+000.00.000000e+000.000000e+000.000000e+000.000000e+000.000000e+000.04545510.0000000.000000-0.0090231.01.0UNITED KINGDOMUNITED KINGDOM10.000000e+000.000000e+000.000000e+00112.00000020.000000e+000.000000e+000.0000000.000000e+000.000000e+000.000000e+000.0000000.000000e+000.0000000.0000000.0000000.0000000.0000001.0000001.0000000.00.5971620.0000000.0000000.000000UNITED KINGDOMUNITED KINGDOM000110
172244228767700.0000003.192987e-010.000000e+001.229300e+010.00.000000e+000.000000e+000.000000e+000.00.000000e+000.000000e+000.000000e+000.000000e+000.000000e+000.02597410.0000000.000000-0.0091821.01.0ITALYITALY100.000000e+000.000000e+000.000000e+00110.20000020.000000e+000.000000e+000.0000000.000000e+000.000000e+000.000000e+000.0000000.000000e+000.0000000.0000000.0000000.0000000.0000000.1000000.1000000.00.2771000.0000000.0000000.000000ITALYITALY000110
172274228914800.0000003.572000e+015.358000e+015.358000e+010.00.000000e+000.000000e+000.000000e+000.00.000000e+000.000000e+000.000000e+000.000000e+000.000000e+000.66666710.0000000.000000-0.0079171.01.0UNITED KINGDOMUNITED KINGDOM10.000000e+000.000000e+000.000000e+001132.000000320.000000e+000.000000e+000.0000000.000000e+000.000000e+000.000000e+000.0000000.000000e+000.0000000.0000000.0000000.0000000.0000001.0000001.0000000.03.6033220.0000000.0000000.000000UNITED KINGDOMUNITED KINGDOM000110
172304229061141120.9824561.319870e+038.466950e+011.216348e+040.02.488392e+032.901017e+042.544751e+02367.03.655121e+027.934937e+101.987296e+11-1.053788e+101.906889e+110.92982530.373516-0.6225800.0143511.01.0SPAINSPAIN46.943214e+101.266133e+111.355015e+11393926.500000354.573969e+090.000000e+000.0000002.857298e+094.573969e+090.000000e+000.0000002.857298e+0921.97955879.0467740.085777-0.9960973.2192989.7500009.7500000.07.18604610.2754365.9080834.382611SPAINSPAIN000110
17232671007900.0000005.677362e+031.621000e+033.962330e+040.00.000000e+000.000000e+000.000000e+000.00.000000e+000.000000e+000.000000e+000.000000e+000.000000e+002.29113960.0000000.000000-0.0090891.01.0GERMANYGERMANY210.000000e+000.000000e+000.000000e+0014208.619048210.000000e+00-3.006628e+020.0075880.000000e+000.000000e+00-3.006628e+020.0075880.000000e+000.0000000.0000000.0000000.0000000.0000000.6666670.9523810.08.6444180.0000000.0000000.000000GERMANYGERMANY000110
17233671046300.0000001.238095e+020.000000e+007.800000e+030.00.000000e+000.000000e+000.000000e+000.00.000000e+000.000000e+000.000000e+000.000000e+000.000000e+000.01587310.0000000.000000-0.0074761.01.0GERMANYGERMANY110.000000e+000.000000e+000.000000e+00110.09090910.000000e+000.000000e+000.0000000.000000e+000.000000e+000.000000e+000.0000000.000000e+000.0000000.0000000.0000000.0000000.0000000.0909090.0909090.04.8267890.0000000.0000000.000000GERMANYGERMANY000110
17236OFF DISTRIBUTION1311311.0000001.309559e+081.483052e+082.226195e+080.01.319043e+085.035368e+083.843793e+0627679.01.190158e+071.652515e+121.891390e+13-1.557131e+111.782218e+12164.8396952190.905278-0.8420480.0136181.01.0FRANCEFRANCE4691.179033e+129.883021e+129.883389e+1237858546.042644130-7.845547e+11-2.180184e+060.0097939.599623e+10-7.845547e+11-2.180184e+060.0097939.599623e+103.84508818192.0173370.261956-1.747326211.2900760.8059701.2473350.018.69037120.03716710.2284659.808793FRANCEFRANCE000110
17237PRIVATE CLIENT1311311.0000003.826133e+063.068170e+068.415289e+060.0-4.181221e+052.603098e+071.987098e+0532363.01.715429e+054.894466e+095.601972e+10-4.894466e+095.601972e+1037.954198540.520087-0.5770050.0136181.01.0FRANCEFRANCE891.739254e+101.168016e+111.034362e+115511155.865169130-2.466058e+10-6.690212e+040.0079503.017409e+09-2.466058e+10-6.690212e+040.0079503.017409e+096.803470804.343896-0.016062-1.097093247.0458020.6179781.2471910.015.15736617.07479810.3848026.691269FRANCEFRANCE000111
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" + ], + "text/plain": [ + " Registrar Account - ID n_months n_active_months flow_freq \\\n", + "17217 422835 57 26 0.456140 \n", + "17220 422860 62 0 0.000000 \n", + "17221 422864 44 0 0.000000 \n", + "17224 422876 77 0 0.000000 \n", + "17227 422891 48 0 0.000000 \n", + "17230 422906 114 112 0.982456 \n", + "17232 67100 79 0 0.000000 \n", + "17233 67104 63 0 0.000000 \n", + "17236 OFF DISTRIBUTION 131 131 1.000000 \n", + "17237 PRIVATE CLIENT 131 131 1.000000 \n", + "\n", + " aum_qty_mean aum_qty_median aum_qty_max aum_qty_last \\\n", + "17217 3.305042e+04 0.000000e+00 5.372034e+05 0.0 \n", + "17220 4.503548e+00 0.000000e+00 2.792200e+01 0.0 \n", + "17221 8.169545e-01 0.000000e+00 1.797300e+01 0.0 \n", + "17224 3.192987e-01 0.000000e+00 1.229300e+01 0.0 \n", + "17227 3.572000e+01 5.358000e+01 5.358000e+01 0.0 \n", + "17230 1.319870e+03 8.466950e+01 1.216348e+04 0.0 \n", + "17232 5.677362e+03 1.621000e+03 3.962330e+04 0.0 \n", + "17233 1.238095e+02 0.000000e+00 7.800000e+03 0.0 \n", + "17236 1.309559e+08 1.483052e+08 2.226195e+08 0.0 \n", + "17237 3.826133e+06 3.068170e+06 8.415289e+06 0.0 \n", + "\n", + " net_flow_qty_sum gross_flow_qty_sum gross_flow_qty_mean n_tx_total \\\n", + "17217 5.050329e+05 8.986925e+05 1.576653e+04 68.0 \n", + "17220 0.000000e+00 0.000000e+00 0.000000e+00 0.0 \n", + "17221 0.000000e+00 0.000000e+00 0.000000e+00 0.0 \n", + "17224 0.000000e+00 0.000000e+00 0.000000e+00 0.0 \n", + "17227 0.000000e+00 0.000000e+00 0.000000e+00 0.0 \n", + "17230 2.488392e+03 2.901017e+04 2.544751e+02 367.0 \n", + "17232 0.000000e+00 0.000000e+00 0.000000e+00 0.0 \n", + "17233 0.000000e+00 0.000000e+00 0.000000e+00 0.0 \n", + "17236 1.319043e+08 5.035368e+08 3.843793e+06 27679.0 \n", + "17237 -4.181221e+05 2.603098e+07 1.987098e+05 32363.0 \n", + "\n", + " net_flow_vol turnover_mean turnover_vol flow_to_aum_mean \\\n", + "17217 4.698930e+04 9.464842e+12 3.058166e+13 2.993416e+12 \n", + "17220 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 \n", + "17221 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 \n", + "17224 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 \n", + "17227 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 \n", + "17230 3.655121e+02 7.934937e+10 1.987296e+11 -1.053788e+10 \n", + "17232 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 \n", + "17233 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 \n", + "17236 1.190158e+07 1.652515e+12 1.891390e+13 -1.557131e+11 \n", + "17237 1.715429e+05 4.894466e+09 5.601972e+10 -4.894466e+09 \n", + "\n", + " flow_to_aum_vol avg_n_isin_held max_n_isin_held sub_share_mean \\\n", + "17217 3.181011e+13 0.140351 1 0.219723 \n", + "17220 0.000000e+00 0.161290 1 0.000000 \n", + "17221 0.000000e+00 0.045455 1 0.000000 \n", + "17224 0.000000e+00 0.025974 1 0.000000 \n", + "17227 0.000000e+00 0.666667 1 0.000000 \n", + "17230 1.906889e+11 0.929825 3 0.373516 \n", + "17232 0.000000e+00 2.291139 6 0.000000 \n", + "17233 0.000000e+00 0.015873 1 0.000000 \n", + "17236 1.782218e+12 164.839695 219 0.905278 \n", + "17237 5.601972e+10 37.954198 54 0.520087 \n", + "\n", + " red_share_mean delta_rate_mean aum_drawdown_last aum_drawdown_max \\\n", + "17217 -0.241074 -0.009035 1.0 1.0 \n", + "17220 0.000000 -0.007677 1.0 1.0 \n", + "17221 0.000000 -0.009023 1.0 1.0 \n", + "17224 0.000000 -0.009182 1.0 1.0 \n", + "17227 0.000000 -0.007917 1.0 1.0 \n", + "17230 -0.622580 0.014351 1.0 1.0 \n", + "17232 0.000000 -0.009089 1.0 1.0 \n", + "17233 0.000000 -0.007476 1.0 1.0 \n", + "17236 -0.842048 0.013618 1.0 1.0 \n", + "17237 -0.577005 0.013618 1.0 1.0 \n", + "\n", + " region country n_isin_total rel_turnover_mean_avg \\\n", + "17217 ITALY ITALY 3 4.860324e+12 \n", + "17220 ITALY ITALY 3 0.000000e+00 \n", + "17221 UNITED KINGDOM UNITED KINGDOM 1 0.000000e+00 \n", + "17224 ITALY ITALY 10 0.000000e+00 \n", + "17227 UNITED KINGDOM UNITED KINGDOM 1 0.000000e+00 \n", + "17230 SPAIN SPAIN 4 6.943214e+10 \n", + "17232 GERMANY GERMANY 21 0.000000e+00 \n", + "17233 GERMANY GERMANY 11 0.000000e+00 \n", + "17236 FRANCE FRANCE 469 1.179033e+12 \n", + "17237 FRANCE FRANCE 89 1.739254e+10 \n", + "\n", + " rel_turnover_vol_avg rel_flow_to_aum_vol_avg full_exit_count \\\n", + "17217 1.237445e+13 1.319247e+13 3 \n", + "17220 0.000000e+00 0.000000e+00 1 \n", + "17221 0.000000e+00 0.000000e+00 1 \n", + "17224 0.000000e+00 0.000000e+00 1 \n", + "17227 0.000000e+00 0.000000e+00 1 \n", + "17230 1.266133e+11 1.355015e+11 39 \n", + "17232 0.000000e+00 0.000000e+00 14 \n", + "17233 0.000000e+00 0.000000e+00 1 \n", + "17236 9.883021e+12 9.883389e+12 378 \n", + "17237 1.168016e+11 1.034362e+11 55 \n", + "\n", + " entry_count avg_holding_months_per_isin max_holding_months_per_isin \\\n", + "17217 3 2.666667 8 \n", + "17220 1 3.333333 10 \n", + "17221 1 2.000000 2 \n", + "17224 1 0.200000 2 \n", + "17227 1 32.000000 32 \n", + "17230 39 26.500000 35 \n", + "17232 20 8.619048 21 \n", + "17233 1 0.090909 1 \n", + "17236 585 46.042644 130 \n", + "17237 111 55.865169 130 \n", + "\n", + " flow_trend_12m_x aum_trend_12m_x drawdown_trend_12m_x beta_rate_x \\\n", + "17217 0.000000e+00 0.000000e+00 0.000000 6.383533e+13 \n", + "17220 0.000000e+00 0.000000e+00 0.000000 0.000000e+00 \n", + "17221 0.000000e+00 0.000000e+00 0.000000 0.000000e+00 \n", + "17224 0.000000e+00 0.000000e+00 0.000000 0.000000e+00 \n", + "17227 0.000000e+00 0.000000e+00 0.000000 0.000000e+00 \n", + "17230 4.573969e+09 0.000000e+00 0.000000 2.857298e+09 \n", + "17232 0.000000e+00 -3.006628e+02 0.007588 0.000000e+00 \n", + "17233 0.000000e+00 0.000000e+00 0.000000 0.000000e+00 \n", + "17236 -7.845547e+11 -2.180184e+06 0.009793 9.599623e+10 \n", + "17237 -2.466058e+10 -6.690212e+04 0.007950 3.017409e+09 \n", + "\n", + " flow_trend_12m_y aum_trend_12m_y drawdown_trend_12m_y beta_rate_y \\\n", + "17217 0.000000e+00 0.000000e+00 0.000000 6.383533e+13 \n", + "17220 0.000000e+00 0.000000e+00 0.000000 0.000000e+00 \n", + "17221 0.000000e+00 0.000000e+00 0.000000 0.000000e+00 \n", + "17224 0.000000e+00 0.000000e+00 0.000000 0.000000e+00 \n", + "17227 0.000000e+00 0.000000e+00 0.000000 0.000000e+00 \n", + "17230 4.573969e+09 0.000000e+00 0.000000 2.857298e+09 \n", + "17232 0.000000e+00 -3.006628e+02 0.007588 0.000000e+00 \n", + "17233 0.000000e+00 0.000000e+00 0.000000 0.000000e+00 \n", + "17236 -7.845547e+11 -2.180184e+06 0.009793 9.599623e+10 \n", + "17237 -2.466058e+10 -6.690212e+04 0.007950 3.017409e+09 \n", + "\n", + " gross_flow_to_aum avg_ticket flow_direction_balance \\\n", + "17217 27.191559 13216.065779 0.561964 \n", + "17220 0.000000 0.000000 0.000000 \n", + "17221 0.000000 0.000000 0.000000 \n", + "17224 0.000000 0.000000 0.000000 \n", + "17227 0.000000 0.000000 0.000000 \n", + "17230 21.979558 79.046774 0.085777 \n", + "17232 0.000000 0.000000 0.000000 \n", + "17233 0.000000 0.000000 0.000000 \n", + "17236 3.845088 18192.017337 0.261956 \n", + "17237 6.803470 804.343896 -0.016062 \n", + "\n", + " redemption_bias activity_intensity exit_rate_per_isin \\\n", + "17217 -0.460796 1.192982 1.000000 \n", + "17220 0.000000 0.000000 0.333333 \n", + "17221 0.000000 0.000000 1.000000 \n", + "17224 0.000000 0.000000 0.100000 \n", + "17227 0.000000 0.000000 1.000000 \n", + "17230 -0.996097 3.219298 9.750000 \n", + "17232 0.000000 0.000000 0.666667 \n", + "17233 0.000000 0.000000 0.090909 \n", + "17236 -1.747326 211.290076 0.805970 \n", + "17237 -1.097093 247.045802 0.617978 \n", + "\n", + " entry_rate_per_isin aum_final_to_peak log_aum_qty_mean \\\n", + "17217 1.000000 0.0 10.405820 \n", + "17220 0.333333 0.0 1.705393 \n", + "17221 1.000000 0.0 0.597162 \n", + "17224 0.100000 0.0 0.277100 \n", + "17227 1.000000 0.0 3.603322 \n", + "17230 9.750000 0.0 7.186046 \n", + "17232 0.952381 0.0 8.644418 \n", + "17233 0.090909 0.0 4.826789 \n", + "17236 1.247335 0.0 18.690371 \n", + "17237 1.247191 0.0 15.157366 \n", + "\n", + " log_gross_flow_qty_sum log_n_tx_total log_avg_ticket country_grp \\\n", + "17217 13.708697 4.234107 9.489264 ITALY \n", + "17220 0.000000 0.000000 0.000000 ITALY \n", + "17221 0.000000 0.000000 0.000000 UNITED KINGDOM \n", + "17224 0.000000 0.000000 0.000000 ITALY \n", + "17227 0.000000 0.000000 0.000000 UNITED KINGDOM \n", + "17230 10.275436 5.908083 4.382611 SPAIN \n", + "17232 0.000000 0.000000 0.000000 GERMANY \n", + "17233 0.000000 0.000000 0.000000 GERMANY \n", + "17236 20.037167 10.228465 9.808793 FRANCE \n", + "17237 17.074798 10.384802 6.691269 FRANCE \n", + "\n", + " region_grp cluster_k2 cluster_k5 cluster_k10 churn_hard \\\n", + "17217 ITALY 0 0 0 1 \n", + "17220 ITALY 0 0 0 1 \n", + "17221 UNITED KINGDOM 0 0 0 1 \n", + "17224 ITALY 0 0 0 1 \n", + "17227 UNITED KINGDOM 0 0 0 1 \n", + "17230 SPAIN 0 0 0 1 \n", + "17232 GERMANY 0 0 0 1 \n", + "17233 GERMANY 0 0 0 1 \n", + "17236 FRANCE 0 0 0 1 \n", + "17237 FRANCE 0 0 0 1 \n", + "\n", + " churn_soft churn_warning \n", + "17217 1 0 \n", + "17220 1 0 \n", + "17221 1 0 \n", + "17224 1 0 \n", + "17227 1 0 \n", + "17230 1 0 \n", + "17232 1 0 \n", + "17233 1 0 \n", + "17236 1 0 \n", + "17237 1 1 " + ] + }, + "execution_count": 58, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "dfc.tail(10)" + ] + }, + { + "cell_type": "code", + "execution_count": 59, + "id": "e5f589f2-6433-4917-8358-864c425eda22", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(9672, 62)" + ] + }, + "execution_count": 59, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "dfc.shape" + ] + }, + { + "cell_type": "code", + "execution_count": 42, + "id": "3f78e685-b3e7-4c02-81d2-fc480d524814", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Nb clients = 9672\n", + "Nb features = 34\n", + "['log_aum_qty_mean', 'flow_freq', 'gross_flow_to_aum', 'turnover_vol', 'flow_to_aum_vol', 'activity_intensity', 'log_n_tx_total', 'avg_n_isin_held', 'n_isin_total', 'avg_holding_months_per_isin', 'exit_rate_per_isin', 'flow_direction_balance', 'redemption_bias', 'aum_drawdown_last', 'country_grp_FRANCE', 'country_grp_GERMANY', 'country_grp_ITALY', 'country_grp_LATAM', 'country_grp_LUXEMBOURG', 'country_grp_Other', 'country_grp_SPAIN', 'country_grp_SWITZERLAND', 'country_grp_UNITED KINGDOM', 'country_grp_UNITED STATES', 'region_grp_FRANCE', 'region_grp_GERMANY', 'region_grp_ITALY', 'region_grp_LATAM', 'region_grp_LUXEMBOURG', 'region_grp_NORDICS', 'region_grp_Other', 'region_grp_SPAIN', 'region_grp_SWITZERLAND', 'region_grp_UNITED KINGDOM']\n" + ] + } + ], + "source": [ + "dfc = df_client.copy()\n", + "\n", + "dfc[\"gross_flow_to_aum\"] = dfc[\"gross_flow_qty_sum\"] / (dfc[\"aum_qty_mean\"].abs() + EPS)\n", + "dfc[\"avg_ticket\"] = dfc[\"gross_flow_qty_sum\"] / (dfc[\"n_tx_total\"] + EPS)\n", + "dfc[\"flow_direction_balance\"] = dfc[\"net_flow_qty_sum\"] / (dfc[\"gross_flow_qty_sum\"] + EPS)\n", + "dfc[\"redemption_bias\"] = dfc[\"red_share_mean\"] - dfc[\"sub_share_mean\"]\n", + "dfc[\"activity_intensity\"] = dfc[\"n_tx_total\"] / (dfc[\"n_months\"] + EPS)\n", + "dfc[\"exit_rate_per_isin\"] = dfc[\"full_exit_count\"] / (dfc[\"n_isin_total\"] + EPS)\n", + "dfc[\"entry_rate_per_isin\"] = dfc[\"entry_count\"] / (dfc[\"n_isin_total\"] + EPS)\n", + "dfc[\"aum_final_to_peak\"] = dfc[\"aum_qty_last\"] / (dfc[\"aum_qty_max\"] + EPS)\n", + "\n", + "for col in [\"aum_qty_mean\", \"gross_flow_qty_sum\", \"n_tx_total\", \"avg_ticket\"]:\n", + " dfc[f\"log_{col}\"] = np.log1p(dfc[col].clip(lower=0))\n", + "\n", + "dfc = dfc[(dfc[\"n_months\"] >= 6) & (dfc[\"aum_qty_mean\"] > 0)].copy()\n", + "\n", + "top_countries = dfc[\"country\"].fillna(\"Unknown\").value_counts().head(10).index\n", + "top_regions = dfc[\"region\"].fillna(\"Unknown\").value_counts().head(10).index\n", + "\n", + "dfc[\"country_grp\"] = np.where(dfc[\"country\"].isin(top_countries), dfc[\"country\"], \"Other\")\n", + "dfc[\"region_grp\"] = np.where(dfc[\"region\"].isin(top_regions), dfc[\"region\"], \"Other\")\n", + "\n", + "base_features = [\n", + " \"log_aum_qty_mean\",\n", + " \"flow_freq\",\n", + " \"gross_flow_to_aum\",\n", + " \"turnover_vol\",\n", + " \"flow_to_aum_vol\",\n", + " \"activity_intensity\",\n", + " \"log_n_tx_total\",\n", + " \"avg_n_isin_held\",\n", + " \"n_isin_total\",\n", + " \"avg_holding_months_per_isin\",\n", + " \"exit_rate_per_isin\",\n", + " \"flow_direction_balance\",\n", + " \"redemption_bias\",\n", + " \"aum_drawdown_last\",\n", + "]\n", + "\n", + "base_features = [c for c in base_features if c in dfc.columns]\n", + "\n", + "X_num = dfc[base_features].replace([np.inf, -np.inf], np.nan).fillna(dfc[base_features].median())\n", + "X_cat = pd.get_dummies(dfc[[\"country_grp\", \"region_grp\"]].fillna(\"Unknown\"), drop_first=True)\n", + "\n", + "X = pd.concat([X_num.reset_index(drop=True), X_cat.reset_index(drop=True)], axis=1)\n", + "\n", + "scaler = RobustScaler()\n", + "X_scaled = scaler.fit_transform(X)\n", + "\n", + "print(\"Nb clients =\", X.shape[0])\n", + "print(\"Nb features =\", X.shape[1])\n", + "print(X.columns.tolist())" + ] + }, + { + "cell_type": "code", + "execution_count": 43, + "id": "7e865952-a1d2-4f39-bbbc-306c8ed7857c", + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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kinertiasilhouettedavies_bouldin
014.524688e+27NaNNaN
125.112657e+260.9995510.261256
232.261593e+260.9994100.421666
341.116793e+260.9994310.246382
454.183981e+250.9990760.293760
562.520739e+250.9990660.338481
671.141968e+250.9989610.257299
785.503246e+240.9989360.138057
891.305121e+240.9988030.064578
9105.648568e+230.9986960.126169
\n", + "
" + ], + "text/plain": [ + " k inertia silhouette davies_bouldin\n", + "0 1 4.524688e+27 NaN NaN\n", + "1 2 5.112657e+26 0.999551 0.261256\n", + "2 3 2.261593e+26 0.999410 0.421666\n", + "3 4 1.116793e+26 0.999431 0.246382\n", + "4 5 4.183981e+25 0.999076 0.293760\n", + "5 6 2.520739e+25 0.999066 0.338481\n", + "6 7 1.141968e+25 0.998961 0.257299\n", + "7 8 5.503246e+24 0.998936 0.138057\n", + "8 9 1.305121e+24 0.998803 0.064578\n", + "9 10 5.648568e+23 0.998696 0.126169" + ] + }, + "execution_count": 43, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "rows = []\n", + "\n", + "for k in range(1, 11):\n", + " km = KMeans(n_clusters=k, n_init=50, random_state=42)\n", + " labels = km.fit_predict(X_scaled)\n", + "\n", + " row = {\n", + " \"k\": k,\n", + " \"inertia\": km.inertia_\n", + " }\n", + "\n", + " if k >= 2:\n", + " row[\"silhouette\"] = silhouette_score(X_scaled, labels)\n", + " row[\"davies_bouldin\"] = davies_bouldin_score(X_scaled, labels)\n", + " else:\n", + " row[\"silhouette\"] = np.nan\n", + " row[\"davies_bouldin\"] = np.nan\n", + "\n", + " rows.append(row)\n", + "\n", + "df_kdiag = pd.DataFrame(rows)\n", + "df_kdiag" + ] + }, + { + "cell_type": "code", + "execution_count": 44, + "id": "04c350be-d871-4de8-93d6-3775d78e4725", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, axes = plt.subplots(1, 3, figsize=(16, 4))\n", + "\n", + "axes[0].plot(df_kdiag[\"k\"], df_kdiag[\"inertia\"], marker=\"o\")\n", + "axes[0].set_title(\"Elbow / Inertia\")\n", + "axes[0].set_xlabel(\"K\")\n", + "\n", + "axes[1].plot(df_kdiag[\"k\"], df_kdiag[\"silhouette\"], marker=\"o\")\n", + "axes[1].set_title(\"Silhouette\")\n", + "axes[1].set_xlabel(\"K\")\n", + "\n", + "axes[2].plot(df_kdiag[\"k\"], df_kdiag[\"davies_bouldin\"], marker=\"o\")\n", + "axes[2].set_title(\"Davies-Bouldin\")\n", + "axes[2].set_xlabel(\"K\")\n", + "\n", + "plt.tight_layout()\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 45, + "id": "a7249fea-2ad6-4d32-af6f-c9a234cbfe1c", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "K=2 | silhouette=0.9996 | davies_bouldin=0.2613\n", + "K=5 | silhouette=0.9991 | davies_bouldin=0.2938\n", + "K=10 | silhouette=0.9987 | davies_bouldin=0.1262\n" + ] + } + ], + "source": [ + "RESULTS = {}\n", + "\n", + "for k in [2, 5, 10]:\n", + " km = KMeans(n_clusters=k, n_init=50, random_state=42)\n", + " labels = km.fit_predict(X_scaled)\n", + " dfc[f\"cluster_k{k}\"] = labels\n", + "\n", + " RESULTS[k] = {\n", + " \"model\": km,\n", + " \"labels\": labels,\n", + " \"silhouette\": silhouette_score(X_scaled, labels),\n", + " \"davies_bouldin\": davies_bouldin_score(X_scaled, labels)\n", + " }\n", + "\n", + "for k in [2, 5, 10]:\n", + " print(f\"K={k} | silhouette={RESULTS[k]['silhouette']:.4f} | davies_bouldin={RESULTS[k]['davies_bouldin']:.4f}\")" + ] + }, + { + "cell_type": "code", + "execution_count": 46, + "id": "0dd70e26-f831-4140-8815-eebb40c9aba7", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "===== K=2 =====\n" + ] + }, + { + "data": { + "text/html": [ + "
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n_clientsaum_qty_mean_medgross_flow_to_aum_medflow_freq_medn_tx_total_medavg_n_isin_held_medn_isin_total_medavg_holding_months_per_isin_medexit_rate_per_isin_medflow_direction_balance_medredemption_bias_medaum_drawdown_last_medaum_final_to_peak_med
cluster_k5
09665200.5072462.5606840.0588242.00.6666672.013.3333331.0000.000000-5.714286e-021.0000000.000000
1294722.7576835.7845780.07037410.00.5867982.035.1666671.5000.001110-4.646436e+121.0000000.000000
22101582.3622504.9322720.0826397.50.8750002.028.0000000.5000.682622-2.943535e+120.5000000.500000
42152151.7986433.4171150.0521497.51.3815613.045.7500000.8750.199417-9.113122e+110.9400680.059932
3175884.6153854.6517990.28205115.01.0000001.039.0000000.0000.201133-6.666667e+120.6853150.314685
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n_clientsaum_qty_mean_medgross_flow_to_aum_medflow_freq_medn_tx_total_medavg_n_isin_held_medn_isin_total_medavg_holding_months_per_isin_medexit_rate_per_isin_medflow_direction_balance_medredemption_bias_medaum_drawdown_last_medaum_final_to_peak_med
cluster_k10
09655199.7003642.5611000.0588242.00.6666672.013.3333331.0000000.000000-5.714286e-021.000000e+000.000000
6711281.4875001.6466800.0560007.00.6375003.043.2222221.000000-0.260413-2.225352e+111.000000e+000.000000
9316597.2868222.3489490.0155043.00.7519381.046.0000000.333333-0.547161-6.525000e+101.000000e+000.000000
1140190.1384627.3298080.04615411.00.5384623.023.3333331.000000-0.206507-4.423077e+121.000000e+000.000000
2175884.6153854.6517990.28205115.01.0000001.039.0000000.0000000.201133-6.666667e+126.853147e-010.314685
3120646.9370001.0000000.0277782.01.0000001.036.0000000.0000001.000000-3.347944e+124.840572e-141.000000
51182517.7875008.8645440.13750013.00.7500003.020.0000001.0000000.365245-2.539125e+121.000000e+000.000000
41152961.5384624.4913250.0307696.01.6307694.053.0000000.750000-0.149927-6.461538e+118.801370e-010.119863
71151342.0588242.3429050.0735299.01.1323532.038.5000001.0000000.548762-1.176471e+121.000000e+000.000000
81149255.3769054.2393480.0945959.00.6351351.047.0000002.0000000.208726-4.869795e+121.000000e+000.000000
\n", + "
" + ], + "text/plain": [ + " n_clients aum_qty_mean_med gross_flow_to_aum_med \\\n", + "cluster_k10 \n", + "0 9655 199.700364 2.561100 \n", + "6 7 11281.487500 1.646680 \n", + "9 3 16597.286822 2.348949 \n", + "1 1 40190.138462 7.329808 \n", + "2 1 75884.615385 4.651799 \n", + "3 1 20646.937000 1.000000 \n", + "5 1 182517.787500 8.864544 \n", + "4 1 152961.538462 4.491325 \n", + "7 1 151342.058824 2.342905 \n", + "8 1 149255.376905 4.239348 \n", + "\n", + " flow_freq_med n_tx_total_med avg_n_isin_held_med \\\n", + "cluster_k10 \n", + "0 0.058824 2.0 0.666667 \n", + "6 0.056000 7.0 0.637500 \n", + "9 0.015504 3.0 0.751938 \n", + "1 0.046154 11.0 0.538462 \n", + "2 0.282051 15.0 1.000000 \n", + "3 0.027778 2.0 1.000000 \n", + "5 0.137500 13.0 0.750000 \n", + "4 0.030769 6.0 1.630769 \n", + "7 0.073529 9.0 1.132353 \n", + "8 0.094595 9.0 0.635135 \n", + "\n", + " n_isin_total_med avg_holding_months_per_isin_med \\\n", + "cluster_k10 \n", + "0 2.0 13.333333 \n", + "6 3.0 43.222222 \n", + "9 1.0 46.000000 \n", + "1 3.0 23.333333 \n", + "2 1.0 39.000000 \n", + "3 1.0 36.000000 \n", + "5 3.0 20.000000 \n", + "4 4.0 53.000000 \n", + "7 2.0 38.500000 \n", + "8 1.0 47.000000 \n", + "\n", + " exit_rate_per_isin_med flow_direction_balance_med \\\n", + "cluster_k10 \n", + "0 1.000000 0.000000 \n", + "6 1.000000 -0.260413 \n", + "9 0.333333 -0.547161 \n", + "1 1.000000 -0.206507 \n", + "2 0.000000 0.201133 \n", + "3 0.000000 1.000000 \n", + "5 1.000000 0.365245 \n", + "4 0.750000 -0.149927 \n", + "7 1.000000 0.548762 \n", + "8 2.000000 0.208726 \n", + "\n", + " redemption_bias_med aum_drawdown_last_med aum_final_to_peak_med \n", + "cluster_k10 \n", + "0 -5.714286e-02 1.000000e+00 0.000000 \n", + "6 -2.225352e+11 1.000000e+00 0.000000 \n", + "9 -6.525000e+10 1.000000e+00 0.000000 \n", + "1 -4.423077e+12 1.000000e+00 0.000000 \n", + "2 -6.666667e+12 6.853147e-01 0.314685 \n", + "3 -3.347944e+12 4.840572e-14 1.000000 \n", + "5 -2.539125e+12 1.000000e+00 0.000000 \n", + "4 -6.461538e+11 8.801370e-01 0.119863 \n", + "7 -1.176471e+12 1.000000e+00 0.000000 \n", + "8 -4.869795e+12 1.000000e+00 0.000000 " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "profile_vars = [\n", + " \"aum_qty_mean\",\n", + " \"gross_flow_to_aum\",\n", + " \"flow_freq\",\n", + " \"n_tx_total\",\n", + " \"avg_n_isin_held\",\n", + " \"n_isin_total\",\n", + " \"avg_holding_months_per_isin\",\n", + " \"exit_rate_per_isin\",\n", + " \"flow_direction_balance\",\n", + " \"redemption_bias\",\n", + " \"aum_drawdown_last\",\n", + " \"aum_final_to_peak\",\n", + "]\n", + "\n", + "profile_vars = [c for c in profile_vars if c in dfc.columns]\n", + "\n", + "for k in [2, 5, 10]:\n", + " print(f\"\\n===== K={k} =====\")\n", + " prof = (\n", + " dfc.groupby(f\"cluster_k{k}\")\n", + " .agg(\n", + " n_clients=(ID_COL, \"count\"),\n", + " **{f\"{c}_med\": (c, \"median\") for c in profile_vars}\n", + " )\n", + " .sort_values(\"n_clients\", ascending=False)\n", + " )\n", + " display(prof)" + ] + }, + { + "cell_type": "code", + "execution_count": 47, + "id": "9368ab73-fd28-4b0e-9a8a-17b860cbf6d4", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", 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", 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3N/bu3Yv169cjOjoaW7ZsgZGREZycnDB58mT07Nkz3+81NDREaGgogoKCsHTpUpQvXx79+/eHmZmZSt8rDw8PJCYm4sCBA3j48CHKli2LBg0aYMGCBSpLGWfNmoWZM2ciJCQEb968wahRo1CrVi3UqFEDu3btQmhoKKKiovDkyRNYWlqiTp06GDlypNp/9i+++AL79u1DeHg40tPTUalSJfTt2xcjRox47/eNHz8exsbG2LFjB2JiYtCoUSOsX78eX3311X82oc9LuXLlsHr1asydOxdLliyBmZkZOnXqBE9PT/j6+qqc+9VXX+Hy5cv48ccfERERATs7O3h5eQEAFixYgOnTpyMsLAxmZmb4/PPP0aRJEwwcOLBAOfT09LBixQpERERgz549+N///gcTExPY29ujb9++qFatGgDAy8sLd+/exa5du5Sz8zw8PODn56fc+bQ4sLGxwfr169G7d28MGTIEP/zwA2rWrKn24+3atUul51psbCxiY2MBAI0bN1YWy0xNTbFx40bMnj0bq1atQnZ2Npo0aYKAgAC1Z0ESERERvUumyOuyKhEREVEx8uzZM7i7u2PMmDEYPny46DhEREREJGH57z9OREREJEDOMrx3bdiwAcDbWXRERERERNrEZZhERERUrBw4cABRUVH4+OOPUbp0aZw5cwb79+9HixYtik3PLiIiIiKSLhbLiIiIqFhxcnKCvr4+1q1bh5cvX8LKygr9+vXDmDFjREcjIiIiohKAPcuIiIiIiIiIiIj+wZ5lRERERERERERE/2CxjIiIiIiIiIiI6B8slhEREREREREREf1Dkg3+rz98LjqC5JkYsM6qTeVK8fnVtj+fZIqOIGmVyhiKjiB5ZQ1loiNI2spT90RHkLQRbraiI0jeKznbEmuT6dNboiNIXpZlVdERiIrE2MREdIRiYZisar7HVitufrAchSXJYhkREREREREREYllpFf0C7zLly9HaGioyli1atVw6NChIj92flgsIyIiIiIiIiIijdNEsQwAatasifDwcOV9fX19jTxuflgsIyIiIiIiIiIijdNUsUxfXx/ly5fXyGMVhPBi2ePHj7Fr1y6cPXsWDx8+BABYW1vDxcUF3bp1g6WlpeCERERERERERERUWPrvqZVlZmYiM1O1l7SRkRGMjIxynXvr1i20aNECpUqVQqNGjTBu3DjY2mqvB6rQLuLnz5/HZ599ho0bN6Js2bJwc3ODm5sbypYti40bN6Jdu3ZITEwUGZGIiIiIiIiIiNRgKJPle1uzZg0aN26scluzZk2ux2jQoAFCQkKwbt06BAYG4u7du+jduzdevHihtdwyhUIhbKucnj17wtnZGUFBQZDJVMuNCoUCM2bMwJUrV7Bt27ZCPS53w9Q+7oapXdwNU/u4G6Z2cTdM7eNumNrF3TC1i7thah93w9Qu7oapfdwNk3Qdd8N8a06ZmvkeG5t2scAzy9717NkzfPLJJ5g8eTJ69OihkZz/JvQTeVJSEvr375+rUAYAMpkM/fv3x+XLlwUkIyIiIiIiIiKiojDSk+V/MzKCqampyu2/CmUAYGZmhqpVqyI5OVlruYUWy6ytrd+7zDIxMRHW1tYfMBEREREREREREWnC+4pl6nr58iVu376t1Yb/Qhv8+/r64ttvv8WFCxfg6empLIw9fPgQMTEx2LFjByZOnCgyIhERERERERERqUETu2HOnTsXn3zyCWxtbfH3339j+fLl0NPTQ8eOHTWQMG9Ci2W9e/dGuXLlEBERgS1btkAulwN4uyVo3bp1ERISgvbt24uMSEREREREREREatBEsez+/fsYO3Ysnjx5AktLSzRu3Bjbt2+HpaWlBhLmTWixDADat2+P9u3b482bN0hLSwMAlCtXDoaGbA5NRERERERERKSrNFEsW7x4sQaSFI7wYlkOQ0NDVKhQQXQMIiIiIiIiIiLSAE0Uy0QoNsUyIiIiIiIiIiKSDhbLihFLY33RESRPb8cc0REkLf3zyaIjSJ6zfproCJJ2/ZX2+gfQW+VepIiOIGnudtyNm3Tb41dy0REk7a6enegIkucoOgARaYS+gZ7oCGqRZLGMiIiIiIiIiIjE0jfSzclMLJYREREREREREZHGyfS5DJOIiIiIiIiIiAgAoG/ImWVEREREREREREQAAH0j3exZVqxTp6SkICAgQHQMIiIiIiIiIiIqJH0j/XxvxVmxLpY9ffoUu3fvFh2DiIiIiIiIiIgKSd9QP99bcSZ0GWZ0dPR7j9++ffsDJSEiIiIiIiIiIk3S09FlmEKLZSNHjoRMJoNCocj3HJlMN3dOICIiIiIiIiIqyYr7csv8CC2WlS9fHjNmzEDr1q3zPH758mV069btA6ciIiIiIiIiIqKiKu7LLfMjdD5c3bp1cfHixXyP/9esMyIiIiIiIiIiKp70jfTyvRVnQmeWDR48GOnp6fker1y5MiIjIz9gIiIiIiIiIiIi0gQuw1SDm5vbe4+XLl0aHh4eHygNERERERERERFpiq4uwxRaLNMWk+xXoiNInv6nvURHkLRRZnVER5C8FRcjREeQtJql/hYdQfJumdcWHUHS3MtJ8i1SsWHWbKToCJL3/PcFoiNI2vbk/FfHkGY4WliJjkBEGiDT181NG/lOkIiIiIiIiIiINE7PUDfLTrqZmoiIiIiIiIiIijV9I90sOxU69V9//YUffvgBZ8+excOHDwEA1tbWaNSoEfr06YMaNWpoPCQREREREREREemWEjGz7Pfff8fIkSNRt25deHt7w8rq7TryR48e4cSJE+jatStWrlyJjz76SCthiYiIiIiIiIhIN+gZGYqOoJZCFcsWLlyIIUOG4Jtvvsl1zM/PD8uXL8e8efMKVSx79eoVLly4AAsLi1yz0l6/fo2DBw+iS5cuhYlJRERERERERESC6evozDK9wpx88+ZN+Pj45Hu8Q4cOuHXrVoEf78aNG2jfvj369OkDHx8f9OnTB3///f87qD1//hwBAQGFiUhERERERERERMWAnqFBvrfirFDFMjs7O/z+++/5Hv/9999ha2tb4MdbsGABatasiT/++AOHDh1CmTJl0KtXL9y7d68wsYiIiIiIiIiIqJjRMzLI91acFSrd6NGjMX78eMTGxqJZs2awtrYGADx8+BAxMTE4duwYFi5cWODHS0hIQHh4OCwtLWFpaYnVq1cjMDAQvXv3RmRkJExMTAr3pyEiIiIiIiIiomJBV5dhFip1u3btULFiRWzcuBHh4eFITU0FAJQvXx6NGjXCxo0b4eLiUuDHe/XqFQwM/j+CTCZDUFAQvvvuO/Tp06dQhTciIiIiIiIiIio+ivsMsvwUOrWrqytcXV018sOrV6+OxMREODo6qoxPnz4dADB8+HCN/BwiIiIiIiIiIvqw9A11czfMQvUs07Q2bdrgp59+yvPY9OnT0aFDBygUig+cioiIiIiIiIiIikpXe5ZptFh27do1eHt7F/j8r7/+GmvXrs33eGBgIJKSkjQRjYiIiIiIiIiIPiCZnl6+t+JMo6W8N2/eFIudLB9nlxIdQfKuviovOoKkTUpNFB1B8i69yRYdQdLqpl8RHYGoSF7JObOddFvWTytFR5C0T9qOER2BiEgnFPcZZPkpVOqQkJD3Hn/8+HGRwhARERERERERkTToGehmz7JCFcsiIyNRu3ZtlClTJs/j6enpGglFREREREREREQ6riQUyypXroz+/fujc+fOeR6/fPkyunXrppFgRERERERERESku2SGRqIjqKVQHdXq1auHixcv5ntcJpNx90oiIiIiIiIiIoLMwDDfW3FWqJllkydPRmZmZr7HnZ2duXslEREREREREREBBro5s6xQxbLy5f97B0SFQgGZTFbgx7x27RrOnj2LRo0awdHREdeuXUNkZCQyMzPRqVMneHp6FiYiEREREREREREVA8V9Bll+CrUMM8e6devyHJfL5Rg3blyBH+fo0aPo3Lkz5s2bh65du+Lo0aPo06cPkpOTce/ePfj6+iImJkadiEREREREREREJJDM0CjfW3GmVrFs/fr12LFjh8qYXC6Hv78/Ll++XODHWblyJXx9fREbG4uQkBCMHz8ePXv2RHh4ODZs2ABfX1+sXbtWnYhERERERERERCSSgWH+t2JMrWLZmjVrMG/ePBw6dAgAkJWVhW+++QZ//fUXIiMjC/w4f/75p3L3zHbt2uHly5do27at8riPjw+uXLmiTkQiIiIiIiIiIhKoRDT4z9GgQQMsW7YMI0eOhKGhIXbu3Ink5GRERkbC2tq6UI+V099MT08PRkZGKFu2rPJYmTJl8Pz5c3UiEhERERERERGRQDI9fdER1KLWzDIA8PT0xLx58zB69GjcuXMHGzduLHShzM7ODjdv3lTe37ZtG2xsbJT3U1JSCrSpABERERERERERFTM6ugyzwDPLRo0aled4uXLlYGZmhunTpyvHQkNDC/SYvXr1QnZ2tvJ+rVq1VI4fPXoUTZs2LWhEIiIiIiIiIiIqJop7I//8FLhY9u7yyHd99NFHav/wXr16vff42LFj1X5sIiIiIiIiIiISp7j3JsuPTKFQKLT14KdPn0b9+vVhZPRhK4nyC9Ef9OeVRNnWVUVHkLR7hhVFR5C80oZqr0KnArjRs6PoCJLnGjxOdARJk5UyFh1B0v4o3Uh0BMmrYlFKdARJs5E/Fh1B8uSmbMdDus3YxER0hGIh+1pcvsf0HD0+YJLC0eqnxSFDhuDBgwfa/BFERERERERERFQMKfQM8r0VZ1pNp8VJa0REREREREREVJzp6G6Yxa6Up1AoIJPJRMcgIiIiIiIiIqIiUOgXu7JTgRS7pj3169fHtWvXRMcgIiIiIiIiIqKi0DPI/1aMCUsXEhKS57hcLkdYWBgsLCwAAAEBAR8wFRERERERERERaUJx702WH62mft9yyg0bNsDZ2Rlly5ZVGVcoFLh27RpMTEy4HJOIiIiIiIiISFeVlJ5lCoUCKSkpsLKyQqlS79+S+n0N/seOHYtt27Zh0qRJ8PT0VI7XrVsXc+bMQY0aNQobjYiIiIiIiIiIigldnVlW6J5lCoUCn376KVJSUv7z3ISEBDg4OOR5bOjQoVi8eDECAwMxd+5cvHnzprBRiIiIiIiIiIiouNLTy/9WjBU6nZ6eHqpUqYInT54U+Yc3aNAAP/74Ix4/fozu3bvj6tWrXHpJRERERERERCQFGmzwv2nTJnh5eaF+/fro0aMHzp8/r4XAb6lVyhs3bhzmzZuHq1evFjlAmTJlMHfuXHz99dcYOHAg5HJ5kR+TiIiIiIiIiIjEUugZ5HsrjAMHDiAkJAQjR45EVFQUnJ2d4evri0ePHmklt1qLRydNmoSMjAx07twZhoaGMDY2VjkeFxdX6Mfs0KEDGjdujAsXLsDW1ladWEREREREREREVFxoqMF/eHg4evbsie7duwMAgoKC8Ntvv2HXrl0YOnSoRn7Gu9Qqlk2ZMkXTOQAAlSpVQqVKlbTy2ERERERERERE9OG8bwZZZmYmMjMzVcaMjIxgZGSU67yLFy/i66+/Vo7p6emhWbNmSEhI0Gzgf6hVLOvataumc2hU1sP7oiNI3s1lK0RHkLTKHVuJjiB5Rg1bio4gaaa7D4iOIH2Pb4lOIGk/PTEXHUHSPrUpLTqC5Ok/vSc6gqQ9L2MjOoLk8VWCSBoU75lZtmbNGoSGhqqMjRo1Cn5+fipjaWlpkMvlsLKyUhm3srLC9evXNRf2HWrv4ZmcnIxdu3bh9u3bmDp1KqysrPD777/D1tYWNWvW1GRGIiIiIiIiIiLSMfJsRb7HcnrXv+vfs8pEUavBf1xcHHx8fHD+/Hn8/PPPSE9PBwBcuXIFy5cv12hAIiIiIiIiIiLSPXJF/jcjIyOYmpqq3PIqlpUrVw76+vq5mvk/evQI1tbWWsmtVrFs4cKFGDNmDMLDw2FoaKgcb9q0Kc6ePaupbEREREREREREpKPk2Yp8bwVlZGSEunXrIiYmRjmWnZ2NmJgYuLi4aCO2esWyq1evonXr1rnGLS0tkZaWVuRQRERERERERESk2943s6wwBg4ciO3btyMqKgrXrl1DYGAgMjIy0K1bN63kVqtnWdmyZZGamgoHBweV8cuXL6NixYpqh0lPT8fBgweRnJyM8uXLo0OHDihXrpzaj0dERERERERERGLIFYWsiuWjffv2ePz4MZYtW4bU1FTUrl0b69at09oyTLWKZR06dMCCBQuwdOlSyGQyZGdn4/Tp05g7dy66dOlS4Mdp3749Nm/eDAsLC6SkpKB379549uwZqlatitu3b2PlypXYtm1brqIcEREREREREREVbxqqlQEA+vTpgz59+mjuAd9DrWWY/v7+qF69Olq1aoX09HR06NABffr0gYuLC4YPH17gx7l+/TrkcjmAt33QKlSogF9//RU7d+7EkSNH4OTkhCVLlqgTkYiIiIiIiIiIBNJEzzIR1JpZZmRkhFmzZmHkyJG4evUqXr58iTp16qBq1apqBzl79iyCgoJQtmxZAECZMmXg5+eHsWPHqv2YREREREREREQkRmF7kxUXas0sCw0NRUZGBmxsbNCyZUu0b98eVatWxatXrxAaGlqox5LJZACA169fo3z58irHKlasiMePH6sTkYiIiIiIiIiIBJIrFPneijO1imUrVqxAenp6rvGMjAysWLGiUI/Vv39/dO3aFS9evMCNGzdUjt27dw8WFhbqRCQiIiIiIiIiIoHk2fnfijO1lmEqFArljLB3JSUlwdzcvMCPM2rUKJX7pUuXVrl/5MgRuLm5qRORiIiIiIiIiIgEKu4zyPJTqGKZu7s7ZDIZZDIZ2rZtq1Iwk8vlSE9Px5dfflngx/t3sezfJk2aVJh4RERERERERERUTBT3GWT5KVSxbMqUKVAoFJgyZQr8/PyUzfgBwNDQEHZ2dnBxcdF4SCIiIiIiIiIi0i26OrNMplAUPnlcXBxcXV1hYKDWKk6tS378QnQEyXv+WkfLwzqiejkj0REkL1NXt2XREelv+BqhbeXT74iOIGnZxmX/+yRSW7ZJOdERJO/W8zeiI0iao/yB6AiSl2VhLzoCUZEYm5iIjlAsnL79JN9jjR0sPliOwlKrwX+ZMmVw7do15f1ffvkFI0aMwKJFi5CZmamxcEREREREREREpJveZGfneyvO1CqWTZ8+HTdv3gQA3L59G/7+/jAxMcGhQ4cwf/58TeYjIiIiIiIiIiId9EauyPdWnKlVLLt58yZq164NADh48CA8PDywcOFChISE4Oeff9ZoQCIiIiIiIiIi0j26OrNMraZjCoUC2f/8wWJiYtCqVSsAgI2NDdLS0jQWjoiIiIiIiIiIdFN28Z5Ali+1ZpbVq1cPq1atwu7duxEfH68slt25cwfW1tYFfpyLFy/i9u3byvu7d+/Gl19+iZYtW6JXr1746aef1IlHRERERERERESCvZFn53srztQqlk2ZMgWXLl3CzJkzMWzYMFSpUgUAcPjwYbi4uBT4cQICApTFsh07dmDGjBmoV68ehg0bhvr162PatGnYuXOnOhGJiIiIiIiIiEigN9mKfG/FmVrLMJ2dnbFv375c4xMnToSeXsHrb7du3VIW2jZv3oypU6eiZ8+eyuP169fH6tWr8fnnn6sTk4iIiIiIiIiIBCnuM8jyo9bMsvyUKlUKhoaGBT7f2NhY2ePswYMHaNCggcrxhg0b4s6dO5qMSEREREREREREH0CJm1kmk8nyPX758uUCPc7HH3+MLVu2IDg4GO7u7jh06BCcnZ2Vxw8ePIjKlSurE5GIiIiIiIiIiAR6Iy/eRbH8qFUsCw0NVbmflZWFy5cvIyoqCn5+fgV+nPHjx6NXr17o06cP6tWrh/DwcMTFxcHR0RE3btzA2bNnsWLFCnUiEhERERERERGRQG+ydXMZplrFstatW+ca++yzz1CjRg0cOHAAPXr0KNDjVKxYEbt370ZYWBh+/fVXKBQKnD9/Hvfv34eLiwu2bNmC+vXrqxORiIiIiIiIiIgEKlEzy/LTqFEjTJ8+vVDfY2ZmhvHjx2P8+PGajEJERERERERERAKVqJlleXn16hUiIyNRoUIFTT2k2uzunxIdQfLuVnITHUHS9NMfi44gecaGpUVHkDSTxEOiI0helltn0REkTfGe3qxUdDKFbl5l1iU1n10SHUHSssrXEB2BiEgnZGaVoGKZu7u7SoN/hUKBly9fwtjYGPPnz9dYOCIiIiIiIiIi0k0lqlgWEBCgUiyTyWSwtLREw4YNYW5urrFwRERERERERESkm+TZujmbXK1iWbdu3TSdg4iIiIiIiIiIJETyM8uSkpIK/KDOzs5qhSEiIiIiIiIiImmQfLGsS5cukMlkUPxHQ1aZTIbLly8X6DFnzpyJdu3awc2NzeKJiIiIiIiIiKTktdSLZdHR0Rr/4Zs2bcLmzZtRuXJldO/eHV27dkX58uU1/nOIiIiIiIiIiOjD0tWZZXoFPdHOzk55279/P2JiYlTG7OzsEBMTg59++qlQAb7//nt8/PHH+P777/HJJ59g+PDh+PXXX5GdrZtPKBERERERERERAZny7HxvxVmBi2Xv2rZtG6pXr55rvGbNmti6dWuhHqtWrVqYOnUqjh07hnnz5iEzMxMjR45Ey5YtsXjxYty6dUudiEREREREREREJFBmVna+t+JMrd0wU1NT81wuaWlpidTUVLWCGBoaon379mjfvj3u3buHXbt2ISoqCmFhYQXugUZERERERERERMVDZpZcdAS1qDWzzMbGBmfOnMk1fvr0aVSoUKHIoWxtbeHn54fo6GisW7euyI9HREREREREREQf1uus7HxvxZlaM8t69OiB2bNnIysrC02bNgUAxMTEYP78+Rg0aFCBH8fW1hZ6evnX62QyGZo3b65ORCIiIiIiIiIiEqi4L7fMj1rFssGDB+PJkycICgrCmzdvAAClSpXC4MGD8fXXXxf4cY4cOaLOjyciIiIiIiIiomJOV4tlMoVCoVD3m1++fIlr167B2NgYVatWhZGRkSazqU2edEx0BMnLtqoiOoKk6b18LDqC5GVZVRUdQdIeyw1FR5C8Vzr6xkNXOLy+IzqCpI2ybyc6guQte3JKdARJO/dUX3QEyatf3lh0BKIiMTYxER2hWPBeln99Jnr0Rx8wSeGoNbMsR5kyZdCgQQNNZSEiIiIiIiIiIonIzlZ7fpZQRSqWERERERERERER5SVbrpurIVgsIyIiIiIiIiIijZNncWYZERERERERERERAEDOmWVERERERERERERvZevoplTCi2U//PADzp8/j5YtW6JDhw7YvXs3wsLCkJ2djU8//RSjR4+GgYHwmEREREREREREVAicWaaGlStXYt26dWjRogVCQkJw9+5drF+/HgMGDICenh4iIiJgYGCA0aNHi4xJRERERERERESFJOfMssKLiorCnDlz8OmnnyIpKQndunXDnDlz0KlTJwBA9erVMX/+fBbLiIiIiIiIiIh0TLacDf4L7e+//0a9evUAAM7OztDT00Pt2rWVx+vUqYO///5bVDwiIiIiIiIiIlKTrs4s0xP5w62trfHXX38BAG7evAm5XK68DwB//fUXLC0tRcUjIiIiIiIiIiI1yeXZ+d6KM6Ezy3x8fDBp0iR4e3sjJiYGgwcPxrx58/DkyRPIZDKsXr0abdu2FRmRiIiIiIiIiIjUwN0w1TB69GgYGxvj7Nmz6NmzJ4YOHQpnZ2fMnz8fGRkZ8PLywjfffCMyIhERERERERERqSE7mz3LCk1PTw/Dhg1TGevQoQM6dOggKBEREREREREREWlCdjFfbpkfocUybblf0VV0BMmTK3SzOqwrnpeyEB1B8gwyRCeQtiplhbbELBFSdHRKu65Q6BuJjiBpZ2euEx1B8qJT5KIjSFobs0eiI0heFiqLjkBEGiDPyhIdQS2SLJYREREREREREZFY2VmZoiOohcUyIiIiIiIiIiLSuOw3LJYREREREREREREB4Mwytf3999/YsmULTp8+jdTUVOjp6cHBwQHe3t7o1q0b9PX1RUckIiIiIiIiIqJCElEs8/Lywt27d1XGxo0bh6FDhxb4MYQWyxITEzFw4EBUrlwZxsbGuHXrFjp27Ig3b95g3rx52LVrF9atWwdTU1ORMYmIiIiIiIiIqJDkgmaWjR49Gj179lTeL1OmTKG+X+h2ZbNnz8aAAQPw448/YvPmzQgJCcHNmzexePFi/PLLL3j16hWWLFkiMiIREREREREREakh+01mvjdtKlOmDMqXL6+8lS5dulDfL7RYdunSJXTu3Fl538fHB5cuXcLDhw9hbm6OCRMm4PDhwwITEhERERERERGROrKzMvO9ZWZm4sWLFyq3zEzNFNHWrl2LJk2aoEuXLli3bh2ysrIK9f1Cl2FaWVnh77//hoODAwDg4cOHyMrKUi67rFKlCp4+fSoyIhERERERERERqSE7602+x9asWYPQ0FCVsVGjRsHPz69IP7Nv376oU6cOzM3NkZCQgEWLFiE1NRUBAQEFfgyhxTJvb28EBgZiwoQJMDIywsqVK+Hu7g5jY2MAwI0bN1CxYkWREYmIiIiIiIiISA3va/D/9ddfY+DAgSpjRkZGeZ67YMECrF279r0/68CBA3B0dFR5TGdnZxgaGmLGjBkYN25cvo//b0KLZWPGjMHUqVMxfPhwyOVyNGrUCPPnz1cel8lkGDt2rMCERERERERERESkjuxseb7HjIyMCly8GjRoELp27frec3JWLf5bw4YNkZWVhTt37qB69eoF+nlCi2VlypTBkiVL8Pr1a2RlZeXanaBFixaCkhERERERERERUVFoqpG/paUlLC0t1frey5cvQ09PD1ZWVgX+HqHFshylSpVCqVKlRMcgIiIiIiIiIiINed8yTG1ISEjAuXPn0LRpU5QpUwYJCQkICQlBp06dYG5uXuDHkSkUCoUWcxIREREREREREWndxYsXERQUhOvXryMzMxP29vbo3LkzBg4cWOAlnwCLZUREREREREREREp6ogMQEREREREREREVFyyWERERERERERER/YPFMiIiIiIiIiIion+wWEZERERERERERPQPFsuIiIiIiIiIiIj+wWIZERERERERERHRP1gsIyIiIiIiIiIi+geLZURERERERERERP9gsYyIiIiIiIiIiOgfLJYRERERERERERH9g8UyIiIiIiIiokLo168fnj17lmv8xYsX6Nevn4BE0rJ///58j82dO/cDJqGSykB0gJJKLpfjxx9/xMmTJ/Ho0SNkZ2erHI+MjBSUTDrOnz+P2NhYPH78ONfzGxAQICiVNERHRxf4XG9vby0mkZakpKQCn+vs7KzFJNLUpUsXyGSyAp0bFRWl5TTS9OLFiwKfa2pqqsUk0vfw4UPMnTsXMTExePz4MRQKhcrxy5cvC0omHenp6QgLC8v3vVph/i2kvO3evRtbt27FnTt3sG3bNtjZ2SEiIgL29vZo3bq16HiSI5fLcfXqVdja2sLc3Fx0HJ0XFxeHN2/e5Bp//fo1Tp8+LSCRtAQGBqJs2bJo2bKlyvjs2bNx4MABTJo0SVAyKilYLBMkODgYUVFRaNmyJWrWrFngD3BUMKtXr8aSJUtQrVo1WFtbqxzjc110I0eOhEwmy/Xh7N9jMpmMH9gKIaeY8+/nNUfOMT6v6nn3g9fr16+xefNm1KhRA40aNQIAnDt3Dn/++Se++uorQQl1n5ub23++xvJ3WDMmT56MlJQUjBgxAhUqVBAdR5KmTZuGuLg4dO7cGeXLl+f7Bw3bvHkzli1bhv79+2P16tXKYqSZmRk2bNjAYpkGBAcHo1atWujRowfkcjn69OmDhIQEmJiYYPXq1WjSpInoiDrp3Yubf/31F1JTU5X3s7OzcezYMVSsWFFENElZsGABxo0bh9WrV8PNzQ0AMHPmTPz888/YsGGD4HRUEsgU+X0qI61q0qQJ5s2bl6tSTprRrFkzjB8/Ht26dRMdRZL++OMPLFiwAP7+/nBxcQEAJCQkYMmSJRg7diyaN28uOKFuunv3boHPtbOz02IS6Zs6dSrKly+PMWPGqIwvW7YMKSkpCAkJERNMx8XFxRX4XA8PDy0mkT4XFxds3rwZtWvXFh1Fstzc3LBmzRo0btxYdBRJat++PcaOHYvWrVvDxcUFe/fuhYODA65evYq+ffsiNjZWdESd9/HHH2PFihWoX78+fvnlFwQFBSEyMhJ79uzByZMnsXXrVtERdZKzs7OyeJ7XR2ljY2NMmzYNn3/++YeOJjn79u3DzJkz8f3332Pnzp2Ijo5GZGQkqlWrJjoalQCcWSaIoaEhKleuLDqGZOnp6cHV1VV0DMmaPXs2AgMDlVd5AOCjjz6CiYkJvv32Wxw8eFBgOt3FAtiHc+jQIezatSvXeKdOndC9e3cWy9TEAtiHY2Njk+8sVNIMMzMzWFhYiI4hWXfu3Mmz2GtkZISMjAwBiaQnLS0N5cuXBwD8/vvv+Oyzz1CtWjV0796dLV+KIDo6GgqFAq1bt8aOHTtgaWmpPGZoaAgrKyvo6+sLTCgdPj4+ePbsGXr16gVLS0v88MMPqFKliuhYVEKwWCbIoEGDEBkZienTp3Navxb0798fmzZtwtSpU0VHkaTk5GSYmZnlGjc1NS3U7Cj6b3/99Rfu3buXqycGe8EVjbGxMc6cOYOqVauqjJ85cwalSpUSE0qiMjIy8vwdZt+9opkyZQoWLlyIoKAg2Nvbi44jSd988w2WLl2KuXPnwsTERHQcybG3t8fly5dzXSg6duwYHB0dBaWSFmtra/z1118oX748jh07hsDAQADAq1evWMwpgpzf2cL0mqWCye9ipaWlJerUqYPNmzcrx9iDmrSNxTJBTp8+jdjYWBw9ehQ1a9aEgYHqX0VoaKigZNLg6+uLoUOHonXr1qhRowafXw2rX78+5syZg3nz5il7wj18+BDz589HgwYNBKeThtu3b2PkyJG4evWqSh+znOI6+z0VTf/+/REYGIhLly6hfv36AN5uCrJr1y6MGDFCcDppePz4MQICAnD06NE8j/N3uGj8/f2RkZGBNm3awNjYGIaGhirHC7MklvIWHh6O5ORkNGvWDPb29rneS3AjkKIZOHAgvvvuO2RmZgJ4+xq8f/9+hIWFYdasWYLTSUO3bt0wZswYZc+9Zs2aAXjbo7N69eqC0+m+qKgolCtXDq1atQIAzJs3D9u3b0eNGjWwcOFCrhhQw6VLl/Icr1y5Ml68eKE8zskm9CGwWCaImZkZ2rRpIzqGZM2aNQuxsbFo0qQJLCws+IKqYbNnz8aoUaPQqlUr2NjYAABSUlJQtWpVrFixQnA6aQgODoa9vT0iIiLg7e2NnTt3Ii0tDXPnzuXuPxowdOhQ2NvbIzIyEnv37gUAVK9eHbNnz0b79u0Fp5OG4OBgPHv2DNu3b0e/fv0QGhqKhw8fYtWqVZg8ebLoeDpvypQpoiNIHhvMa1ePHj1QqlQpLFmyBBkZGRg3bhwqVKiAKVOmoEOHDqLjSYKfnx9q1qyJ+/fv47PPPoORkREAQF9fH0OGDBGcTvetXr1aOVsvISEBmzZtwpQpU/Drr78iJCSEF+fVsHHjRtERiJTY4J8kycXFBYsXL1Ze6SHNUygUOHHiBK5fvw4AcHR0RLNmzViY1JAmTZpgw4YNcHZ2RuPGjbFjxw5Ur14dMTExmDt3Lnbv3i06ItF7tWjRAitXrkSDBg3g6uqKXbt2oVq1aoiOjsa6deuwZcsW0RGJqJjIyMhAeno6rKysREchKrCGDRvi4MGDsLW1xfz585Gamop58+bhzz//RN++fXHy5EnREYmoCDizjCTJwsICDg4OomNImkwmQ4sWLeDu7g4jIyMWyTQsOzsbZcqUAQCUK1cOf//9N6pXrw47OzvcuHFDcDqi/5aenq5semxubo7Hjx+jWrVqqFWrVr7LLOj9Xrx4AVNTU+XX75NzHlFxdfv2bcjlclStWhUmJibKvnA3b96EgYEBe/FpSHp6OuLj4/PsHdmvXz9BqaShdOnSePLkCWxtbXHixAkMGDAAAFCqVCm8fv1abDiJSExMxMGDB5GSkpLr95cz90jbWCwT6NChQ/n+z88+GEUzatQoLF++HCEhIWzKqwXZ2dlYtWoVtm7dikePHuHw4cNwcHDAkiVLYGdnhx49eoiOqPNq1qyJK1euwMHBAQ0bNsS6detgaGiI7du3sxCsJnd39wIXddnvqeiqVauGGzduwN7eHk5OTti2bRvs7e2xdetW5e5sVDju7u44fvw4rKys4Obmlufvs0KhgEwmY084NXl4eODQoUOwtLT8z9cMvk4UTUBAALp3755ro5Vz585h586dXI6lAZcuXcLQoUORkZGBjIwMmJubIy0tDSYmJrC0tGSxrIiaNWuGadOmoXbt2rh58yZatmwJAPjzzz/Zr0wDfvrpJ0yaNAktWrTA8ePH0aJFC9y4cQOPHj1iOyP6IFgsEyQyMhKLFy9Gt27dEB0djW7duuH27dtITExE7969RcfTeRs3bmRTXi1auXIldu/ejQkTJuDbb79VjteqVQsbNmxgsUwDhg8fjoyMDADA6NGj8fXXX6N3796wsLDA4sWLBafTTezx9GH169cPqampAN5ewBg8eDD27dsHQ0NDzJkzR3A63bRhwwaYm5sDePs+gjQvICBAOSsvICCAs6a16NKlSwgODs413qhRI8ycOVNAIukJCQnBJ598gqCgIDRu3Bjbt2+HgYEBJkyYwEKZBsyYMQNLlixBSkoKli1bhnLlygEALl68yL57GrB69WoEBASgd+/ecHFxwdSpU2Fvb4/p06fzoht9EOxZJshnn32GUaNGoWPHjnBxccHevXvh4OCApUuX4unTp5g+fbroiDrtv6bljho16gMlkaY2bdrgu+++g6enp8rv77Vr1/Dll18iPj5edERJevLkCczNzfnhjXRSRkYGrl+/DhsbG+XyTCIquRo3boyNGzeiTp06KuMXLlxA3759kZCQICiZdLi5uWH79u2oXr063NzcsG3bNjg6OuLcuXOYNGkSDh06JDoiUb4aNWqE/fv3w97eHk2aNEFkZCScnJxw7do19O/fH8ePHxcdkSROT3SAkiolJQUuLi4AAGNjY7x8+RIA0LlzZ/z0008io0nCqFGj3nujonnw4AEqV66ca1yhUCArK0tAIukJCAjI1ZPIwsICGRkZCAgIEJRKWpKTk7F48WKMHTsWjx49AgD8/vvv+PPPPwUnk4bQ0FDl7EgAMDExQd26dVG6dGn2GdGAo0eP4tSpU8r7mzZtQufOnTFu3Dg8ffpUYDLpuHjxIq5cuaK8/8svv2DEiBFYtGgRMjMzBSaTBnd3d6xZswZyuVw5JpfLERYWhsaNGwtMJh0GBgbQ03v7cc/Kygr37t0D8Lan4f3790VGk5SMjAxcu3YNSUlJKjcqGjMzM+Vn5AoVKijfnz179kzl/QWRtrBYJoi1tbXyzayNjQ3Onj0LALhz5w442Y+Kuxo1aqh8SMtx6NAh1K5dW0Ai6dm9e3eezWFfvXqFPXv2CEgkLXFxcfDx8cH58+fx888/Iz09HQBw5coVLF++XHA6aVixYoXyeX1XRkYGVqxYISCRtMyfP1/5IeLKlSsICQlBy5YtcefOHS5z1ZDp06fj5s2bAN42o/f394eJiQkOHTqE+fPniw0nAePHj8fJkyfx2WefISAgAAEBAfjss88QHx+PiRMnio4nCXXq1EFiYiKAt8XJZcuWYe/evZg9ezZq1qwpOJ3ue/z4MYYOHQpXV1d07NgRXbt2VblR0bi7u+OPP/4A8HZVVnBwMKZNm4Zx48bB09NTcDoqCdizTJCmTZviyJEjqFOnDrp3746QkBAcPnwYFy5cYMNCDXB2dn7vUjU2Pi6aESNGYPLkyXjw4AEUCgV+/vln3LhxA7t378aaNWtEx9NpL168gEKhgEKhwMuXL1GqVCnlMblcjqNHj3IJmwYsXLgQY8aMwcCBA5WzfIG3r80//PCDwGTSkdNo/t+SkpKUfbdIfXfu3IGjoyMA4Oeff4aXlxfGjh2LixcvYujQoYLTScPNmzeVF4AOHjwIDw8PLFy4EKdPn8bYsWMxdepUwQl1W40aNbB3715s2rQJSUlJMDY2RufOndGnTx9YWFiIjicJ/v7+yqK6v78/Jk6ciMDAQFStWhWzZ88WnE73BQcH4/nz59i+fTv69euH0NBQPHz4EKtWrcLkyZNFx9N53377rfLC8fDhw2FoaIgzZ87g008/xfDhwwWno5KAxTJBZs6ciezsbABQNu1OSEiAl5cXvvjiC8HpdN+/l/hkZWXh8uXLiIqKgp+fn6BU0tG6dWusXr0aK1asgImJCZYtW4Y6depg9erVaN68ueh4Oi1nhzuZTIa2bdvmOi6Tyfg7rAFXr17FggULco1bWloiLS1NQCLpyNlBMOd3+N2CmVwuR3p6Or788kuBCaXB0NAQr169AgD88ccf6NKlCwDA3Nw81xJuUo9CoVC+V4uJiUGrVq0AvF0RwNcJzahYsSLGjh0rOoZk1a9fX/m1lZUV1q9fLzCN9MTGxmLlypWoX78+ZDIZbG1t0bx5c5iammLNmjXK1wxSz7tFcz09PV4Iog+OxTJB9PT0lD0EAKBDhw7cNUWDWrdunWvss88+Q40aNXDgwAHu1lgEWVlZWL16NT7//HOEh4eLjiM5kZGRUCgU6N+/P5YvX64yA8fQ0BC2traoWLGiwITSULZsWaSmpsLBwUFl/PLly3x+i2jKlClQKBSYMmUK/Pz8ULZsWeUxQ0ND2NnZqczmI/W4uroiJCQErq6uSExMxJIlSwC8nQ1VqVIlseEkol69eli1ahU8PT0RHx+PwMBAAG9n9VlbW4sNJxHPnj3D+fPn8ejRo1xtSHIKwETFVXp6unK2v7m5OR4/foxq1aqhVq1auHTpkuB00pCcnIxdu3bh9u3bmDp1KqysrPD777/D1taWS4lJ61gsE+jUqVPYunUrbt++jWXLlqFixYrYvXs37O3t4ebmJjqeJDVq1Ig7jRaRgYEB1q9fzzexWuLh4QEAiI6Oho2NjUpRnTSnQ4cOWLBgAZYuXQqZTIbs7GycPn0ac+fO5e92EeX0abG3t4eLiwsMDQ0FJ5Km6dOnIygoCIcPH8aMGTOURd6jR4/io48+EpxOGqZMmYIJEybgl19+wbBhw1ClShUAwOHDh1nw1YAjR45g/PjxSE9Ph6mpqcosVJlMxtdiNXXt2hUREREwNzdHly5d3tuWJCoq6gMmk55q1arhxo0bsLe3h5OTE7Zt2wZ7e3ts3boV5cuXFx1P58XFxWHIkCFwdXVFfHw8/P39YWVlhStXrmDXrl1YtmyZ6IgkcSyWCXL48GFMnDgRPj4+uHTpknJXpRcvXmDNmjUslmnBq1evEBkZiQoVKoiOovOaNm2K+Ph42Nvbi44iWXZ2dnj27Bl27tyJa9euAQBq1qyJ7t27q8zUIfX4+/vju+++Q6tWrSCXy9GhQwfI5XJ07NiRfTA0xMPDA3K5HIcPH1b5Hfby8oK+vr7gdLrP1tY2zx6RU6ZMEZBGmpydnbFv375c4xMnTuSFDA2YO3cuunfvjrFjx8LExER0HMnw9vaGkZERgLxXWpDm9OvXD6mpqQCAUaNGYfDgwdi3bx8MDQ250YoGsL8siSZTcOtFIbp06YIBAwagS5cucHFxwd69e+Hg4IBLly5hyJAhOHHihOiIOi2nZ06OnGbpxsbGmD9/Pry9vQWm031btmzBihUr4OPjg7p16+Z6k8vnt+gSExMxePBglCpVCg0aNFCOvXr1Ct9//z3q1q0rOKE03Lt3D3/++SdevnyJOnXqoGrVqqIjScatW7cwdOhQPHjwANWqVQMA3LhxA5UqVUJYWBgqV64sOKHuefHiBUxNTZVfv0/OeUTFVaNGjbBv375cy+GJdFVGRgauX78OGxsbbsakAe9+Rn736zt37qBdu3bKnV6JtIUzywS5ceNGnrPHypYti2fPnglIJC3/vrIuk8lgaWmJhg0bchc2DQgKCgKAPHuWyWQy7jaqASEhIfDy8sLMmTNhYPD2pTorKwvTpk3D7NmzsWnTJsEJpcHW1ha2traiY0jSrFmz4ODggG3btimb9KalpWHChAmYNWsWwsLCxAbUQe7u7jh+/DisrKyUm4H8W84upHwdVo+HhwcOHToES0vLXBfe/i0uLu4DJpOeFi1aIDExkcWyDyAxMVE5w7dGjRqoV6+e4ETSZGJiwouZGsT+siQai2WCWFtbIzk5OdcyttOnT/NNgwbk9Mwh7UhKShIdQfIuXLigUigD3vaLGzx4MLp37y4wmTTI5XL8+OOPOHnyJB49eqTc8S5HZGSkoGTSER8fr1IoA4By5cph/Pjx6NWrl7hgOmzDhg3KCz78HdWOgIAA5aw8LmnVrpYtW2L+/Pm4du0aatWqpfLvHcBZ6ppw//59jB07FmfOnIGZmRmAt5squLi4YPHixdwMRA0hISEFPjcgIECLSaSP/WVJNBbLBOnZsyeCg4Mxe/ZsyGQyPHjwAAkJCZg7dy5GjBghOp5kZGRk4N69e3jz5o3KuLOzs6BEuuvdq+0BAQGYOnUql/lokampKVJSUuDo6KgynpKSgjJlyghKJR3BwcGIiopCy5YtUbNmzffOHiH1GBkZ4eXLl7nGX758yab/asrZAOTfX79PYGAgRo8ezSVBBfTuxbaCXngLCwvDl19+qSxGUMF8++23AIAVK1bkOsbZkZoxdepUZGVl4cCBA6hevToA4Pr165gyZQqmTp2K9evXC06oewq6yyXfVxQd+8uSaOxZJohCocDq1asRFhaGjIwMAG8/WAwaNAhjxowRG04CHj9+jMmTJ+PYsWN5HucbsMJ7t1dA7dq1ceLECX740qJZs2bhf//7HyZNmqRsanrmzBnMmzcPn376KaZOnSo4oW5r0qQJ5s2bh5YtW4qOIlkTJ07EpUuXEBwcrOy7d+7cOXz77beoW7cumx9/IK6urtizZw9nrWsRn2Mqrho0aICtW7eiTp06KuMXLlxA7969ce7cOUHJSpb79++jQoUK3BhETewvS6JwZpkgMpkMw4cPh6+vL5KTk5Geng5HR0fOGNGQ4OBgPH/+HNu3b0e/fv0QGhqKhw8fYtWqVZg8ebLoeDqpUaNGGDFiBOrVqweFQoFZs2ahVKlSeZ5bmCnqlLeJEycq/yuXywG8XYbZq1cvjB8/XmQ0STA0NGSDeS2bNm0aJk2ahC+++EK5vEoul8PLy4vL2z4gXhPVPj7HVFzZ2NggKysr13h2djZ3h/+A2rdvz4J6Edja2sLGxgYAZ+zRh8VimWBGRkaoUaOG6BiSExsbi5UrV6J+/fqQyWSwtbVF8+bNYWpqijVr1qBVq1aiI+qc+fPnIyIiAsnJyZDJZHj+/Dlev34tOpZkGRkZYdq0aRg3bhySk5MBAJUrV8618yipZ9CgQYiMjMT06dP5xktLzMzMsGrVKty6dUvZWNrR0RFVqlQRnIyIiov09HTEx8fn2TKjX79+glJJx4QJEzBz5kxMnz4d9evXB/C22X9wcDAmTZokOF3JwYK6+nbs2IENGzbg5s2bAICqVauif//+6NGjh9hgVCKwWCbI69evsXHjRsTGxuLRo0e5XkSjoqIEJZOG9PR05RJBc3NzPH78GNWqVUOtWrUK3GuAVFlbWytnNHl5eWHevHkoV66c4FTS9W5fOCcnJ+V4eno6Zs6cydl7ahg1apTK/ZMnT+Lo0aOoWbNmrsbSoaGhHzKaJIWGhsLX1xdVqlRRKZC9evUK69aty/X3QUQly6VLlzB06FBkZGQgIyMD5ubmSEtLg4mJCSwtLVksU9O/d3FNT09Hz549oa+vD+DtDF99fX1MmTIFrVu3FhWT6D8tXboUERER6NOnDxo1agQAOHv2LGbPno179+7hm2++ERuQJI/FMkGmTJmCEydOoG3btmjQoAFnNmhYtWrVcOPGDdjb28PJyQnbtm2Dvb09tm7divLly4uOp/OOHDlSoPN8fHwQFhamnDpNBbd7926MHz8+1yYKr169wp49e1gsU0PZsmVV7rdp00ZQkpJhxYoV6NWrV67ZkBkZGVixYgWLZUQlXEhICD755BMEBQWhcePG2L59OwwMDDBhwgQWyoqAy9xJKrZs2YKZM2eiY8eOyjFvb284OTlh5syZLJaR1rFYJshvv/2GsLAwNG7cWHQUSerXrx9SU1MBvJ1NMnjwYOzbtw+GhoZsKv0B3blzJ89eGZS/Fy9eQKFQQKFQ4OXLlyp94eRyOY4ePcqNFdSkToHx9OnTqF+/PoyMjLSQSNoUCkWeF4KSkpJgbm4uIBERFSeXL19GUFAQ9PT0oK+vj8zMTDg4OGDChAmYNGkSPv30U9ERdVJBd3F9F3d0peIoKysL9erVyzVet25dZT9fIm1isUyQihUrspm/FnXu3Fn5db169fDrr7/i+vXrsLGxYaGBijU3NzfIZDLIZDK0bds213GZTAY/Pz8ByUqmIUOGsClvIeUsAcr5HX63YCaXy5Geno4vv/xSYELdl5WVhdWrV+Pzzz9HpUqV3ntup06d+H5DDVlZWdi/fz9atGgBa2vr957r5uaW74Y3lD8DAwPl7oBWVla4d+8eHB0dYWpqivv37wtOV7KsXr0a7dq1Y7FMS7iCSD2dO3fGli1bEBAQoDK+fft2+Pj4CEpFJQmLZYJMmjQJCxYsQFBQEOzs7ETHkTwTExPUrVs31zi3e6fiJjIyEgqFAv3798fy5ctVZuAYGhrC1tYWFStWFJiwZGFT3sKbMmUKFAoFpkyZAj8/P5Xlr4aGhrCzs4OLi4vAhLrPwMAA69evR5cuXf7z3KCgIO0HkiADAwPMmDEDBw4c+M9z165d+wESSU+dOnWQmJiIqlWrwt3dHcuWLUNaWhr27NmDmjVrio5XovDfOu3i86u+nTt34sSJE2jYsCEA4Pz587h37x66dOmismLg3wU1Ik1gsUyQ+vXr4/Xr12jdujWMjY1haGiocjwuLk5QspKF/3hRcePh4QEAiI6Ohq2t7X9ejQwMDMTo0aM5Y5KKjZwlQPb29nB1dc21ecK/cfmPepo2bYr4+HjY29uLjiJZDRo0wOXLl3lRU0v8/f3x8uVL5dcTJ05EYGAgqlatitmzZwtOR6Q5Bw4cQIUKFUTH0DlXr15FnTp1AEC5M7yFhQUsLCxw9epV5XmcuUfawmKZIGPHjsXff/8Nf39/WFtb839yIlJR0A9ne/fuha+vL4tlVOzkFH7/C5f/qOfjjz/GwoULcfXqVdStWzfXRgre3t6CkklHr169MGfOHNy/fz/P59jZ2VlQMmmoX7++8msrKyusX79eYBqiwktPT0dYWBhOnjyJR48eITs7W+V4dHQ0AHCjKzVt3LixQOfdv38f2dnZymXdRJrCYpkgCQkJ2LZtG99oEVGRcHYk6Tr+DqsnZ3lleHh4rmMymQyXL1/+0JEkZ+zYsQCAWbNmKcdkMply8wo+x0Ql27Rp0xAXF4fOnTujfPnynPwgSPv27dlWh7SCxTJBqlevjlevXomOQaSW169fF6iZ8XfffQcrK6sPkIhIO/jGl4qrpKQk0REkL2dWCGlOly5dCvy6GhUVpeU0REVz9OhRrFmzBo0bNxYdpUTjRTfSFhbLBBk3bhzmzJkDf39/1KpVK1fPMlNTU0HJShZ+EFaPm5sbGjRoAHd3dzRp0gQuLi4wNjbOdR53qiFdxzdgpAsKegGDCoe9yjSvdevWoiNQHrijq3rMzMxgYWEhOgYRaQmLZYIMHjwYADBgwACVcU7t/7D4QVg94eHhOHXqFOLi4rBhwwZkZWWhXr168PDwgIeHB5o3by46IpFGJCQkiI5AlCe5XI7Vq1dj69atePToEQ4fPgwHBwcsWbIEdnZ26NGjh+iIkrB7925s3boVd+7cwbZt22BnZ4eIiAjY29uz8KOGUaNGiY5Q4mRnZ+PWrVt49OhRrve97u7uALijq7q++eYbLF26FHPnzs3V05CIdB+LZYJERkaKjlBi5LwxyGsW2dq1a1GxYsUPHUnnubm5wc3NDcOGDUNWVhYSExOxbds2rFu3DmFhYSz2UrH38OFDzJ07FzExMXj8+HGuDxD8HabibtWqVdi9ezcmTJiAb7/9Vjleq1YtbNiwgcUyDdi8eTOWLVuG/v37Y/Xq1crm3WZmZtiwYQOLZVTsnT17FuPGjcO9e/dy/TvHi/NFFx4ejuTkZDRr1gz29va5dn/mUmIi3cZimSAF3SUsMDAQo0eP5k53ati9ezfWr1+PmzdvAgCqVq0KX19fdOnSRXmOm5ubmHAScOPGDcTFxSEuLg6xsbF48+YNWrVqVeDfbdKMTp06oUyZMqJj6JzJkycjJSUFI0aM4HbugnH5j3r27NmDmTNnwtPTEzNmzFCOOzk54fr16wKTSccPP/yAWbNmoXXr1ggLC1OO16tXD3PnzhWYTBrkcjkiIiJw8OBBpKSk4M2bNyrH4+LiBCWTjhkzZqBevXoICwtjA3otYMG8eODvNWkLi2XF3N69e+Hr68tiWSGFh4dj6dKl6N27N8aMGQMAOH36NAIDA/HkyZNcy1+pcD766CO8fv1auexyyJAhcHJy4j9WGrR8+XKMHDky1zbYz58/x4wZM7Bo0SIA/78jHhXO6dOnsXnzZtSuXVt0FEnj8h/tefDgASpXrpxrXKFQICsrS0Ai6blz506erxFGRkbIyMgQkEhaQkNDsWPHDgwaNAhLlizBsGHDcPfuXfzyyy8YOXKk6HiScOvWLSxbtgxVqlQRHUWSuKy4eGBbHdIWFsuKOf7Pr56NGzciMDBQZRaZt7c3atasieXLl7NYVkSWlpa4fv06Hj58qLxVqVKF/Ro0aOfOnThx4gTmz5+v3Ao7NjYWkyZNgrW1teB0us/Gxoavr1rG5T/aVaNGDZw6dSpXE/pDhw6xCKwh9vb2uHz5cq7n+NixY3B0dBSUSjr27duHWbNmoVWrVli+fDk6duyIypUrw8nJCefOnRMdTxIaNGiAW7dusVimJUuXLlVudMUZ0tp1//59AEClSpVyHTtw4ABXCZBWsFhGkpSamgoXF5dc4y4uLkhNTRWQSFr27NmDZ8+eIT4+HvHx8Vi0aBGuXbuG2rVro0mTJvD39xcdUeft3bsX06dPR+fOnTF58mTcuHEDGzduhK+vL/z8/ETH03lTpkzBwoULERQUBHt7e9FxJInLf7RrxIgRmDx5Mh48eACFQoGff/4ZN27cwO7du7FmzRrR8SRh4MCB+O6775CZmQkAOH/+PPbv34+wsDDMmjVLcDrd9/DhQ9SqVQsAUKZMGTx//hwA8Mknn2Dp0qUio0lG3759MXfuXOVz/e+eWs7OzoKSScPZs2cRERGBrKws1K9fX7lLvKura567xFPhZGdnY+XKlQgPD0d6ejqAt68VAwcOxPDhw5WrL2xsbETGJAmTKXhpvVhzcXHB3r17lTNLqGA6duyIjh07YtiwYSrjK1euxMGDB7Fv3z5ByaQnLS0NcXFxiI6Oxk8//YTs7GzOGNGgRYsWISwsDAYGBli7di08PT1FR5IEd3d3ZGRkQC6Xw9jYGIaGhirH2Sun6Bo1aoQ9e/ZwRoMWnTp1CitWrEBSUhLS09NRp04djBw5Ei1atBAdTTL27t2L0NBQJCcnAwAqVKgAPz8/bqCgAW3btsW8efPQsGFD9OrVC5988gmGDh2KAwcOYObMmYiJiREdUeflVQyTyWRQKBSc4ashWVlZOHfunHKX+ISEBGRmZqJ+/frYsmWL6Hg6beHChdi5cyf8/Pzg6uoK4G0bjdDQUPTs2ZMX50nrOLOMJMnPzw/+/v6Ij49XvrieOXMGJ0+exJIlS8SGk4Cff/5Z2dj/2rVrMDc3R+PGjTFp0iQ2+NegjRs3IjIyEh06dMDFixcxa9YsLFy4kFeCNWDKlCmiI0gel/9on5ubG8LDw0XHkLROnTqhU6dOyMjIQHp6OqysrERHkow2bdogJiYGDRs2RN++fTFhwgTs3LkT9+7dY7sMDYmOjhYdQfIMDAzQuHFjWFpawtzcHGXKlEF0dDQ3WtGAqKgozJo1C97e3soxZ2dnVKxYEUFBQSyWkdZxZlkxx5ll6rtw4QIiIiKU/1hVr14dgwYNQp06dQQn032enp5wd3eHh4cH3N3d4eTkJDqS5Pj6+uLChQsICgrCZ599hlevXiEkJARRUVHw8/PDkCFDREckeq///e9/WLJkCXx9fbn8R4sSExNx7do1AG/7mNWrV09wIul59OgRbty4AeDtewluuqQdCQkJOHv2LKpUqQIvLy/RcYj+07Zt25Q7w2dmZsLNzQ0eHh5o0qQJN77SgPr162Pv3r2oVq2ayvj169fRpUsXnD9/XlAyKilYLCvmZsyYgW+++YZvzIhKmIEDB2LOnDmoWLGiyvhvv/2GadOm4fjx44KS6a4XL17A1NRU+fX75JxH6uPyH+26f/8+xo4dizNnzsDMzAwA8OzZM7i4uGDx4sV5NkGmwnnx4gWCgoKULQYAQF9fH+3atcOMGTNQtmxZwQmJ/ltycjI2bNigUlTv169fnrvpUuE4OzvD0tISAwcOxFdffYUyZcqIjiQpPXr0QMOGDTFt2jSV8ZkzZyIxMRHbt28XlIxKChbLBPHy8kK3bt3QrVs32Nraio4jObVr18bx48dzLZdIS0tDs2bN+CFNA+RyOX755ReVN1/e3t7Q19cXnEz6Hj9+zAK6Gt59XXB2ds7zii8LOZpz9+7d9x7/9w6DVDi+vr54/vw55syZg+rVqwN4e7V9ypQpKFOmDNavXy84oe4bM2YMLl++jGnTpik3DUpISEBwcDBq166NxYsXC06o+65fv44ffvhB+V7C0dERffr0Uf5OU9EcO3YMw4cPR+3atVXakiQlJWH16tVo3ry54IS67ZdffkF8fDzi4uJw7do11KlTBx4eHvDw8EDjxo25S3wRxcXF4euvv4aNjQ0aNWoE4O2mCikpKVi7di3c3NzEBiTJY7FMkIiICERFReHPP/9EkyZN8Pnnn6NNmzYwMjISHU0SnJ2dceLEiVzFsgcPHqBNmzactltEt27dwtChQ/HgwQPl1OgbN26gUqVKCAsL49VKDfD29sbOnTtRrlw5lfFnz56ha9eu7EOihri4OLi6usLAwOA/G/iz9x4Vdw0aNMDWrVtztRa4cOECevfujXPnzglKJh2NGjXCunXrcn0gO3XqFAYPHoyzZ8+KCSYRhw8fxtixY1GvXj3lB+Fz584hMTERixYtQtu2bcUGlIAuXbqgRYsWGD9+vMr4ggULcOLECURFRQlKJj3Pnz/HqVOncOjQIfz000+QyWRITEwUHUvnPXjwAJs3b1Zpq/PVV1/lWnlBpA1s8C/IgAEDMGDAAFy8eBFRUVGYOXMmgoKC0LFjR3Tv3h1169YVHVEnRUZGAni71GfHjh0oXbq08lh2djbi4+N5tVIDZs2aBQcHB2zbtg0WFhYA3s7amzBhAmbNmoWwsDCxASXg7t27ymU/78rMzMSDBw8EJNJ97xbAWAzTjujoaHz88ccwNDT8z4Luuw17qfBsbGyQlZWVazw7OxsVKlQQkEh6LCws8lxqaWpqqlz6SuqbP38+hg4dim+++UZlfNmyZZg/fz6LZRpw7dq1PDe26t69OzZs2PDhA0lQWlqacnZZbGws/vrrL5iZmXHWkwbcu3cPNjY2eTbyv3fvHldnkdaxWCZY3bp1UbduXUyaNAmbN2/GggULsGXLFtSqVQt9+/ZF9+7d2RyyECIiIgC8XUq1detW6OnpKY8ZGhrC3t4eQUFBgtJJR3x8vEqhDADKlSuH8ePHo1evXuKCScC7BYZjx46pfFDLzs5GTEwMl69pwNGjR1G6dGnlm9lNmzZh+/btqFGjBqZPnw5zc3PBCXXTyJEjlbN6R44cme95XOpadBMmTMDMmTMxffp01K9fH8DbZv/BwcGYNGmS4HTSMHz4cMyZMwfz5s1D+fLlAQCpqamYP38+RowYITid7ktNTUWXLl1yjXfq1InLiDXE0tISly9fRtWqVVXGL1++zJ1dNcDHxwfXrl2DmZkZ3N3d0bNnT7i7u3MDGw3x9vbOt62Ot7c330eQ1rFYJtibN2/wv//9Dz/++CP++OMPNGzYEJ9//jnu37+PxYsXIyYmBgsXLhQdU2ccOXIEANC3b1+EhobyA6+WGBkZ4eXLl7nGX758CUNDQwGJpCOnwCCTyTB58mSVYwYGBrCzs8s1ToU3f/585bKUK1euICQkBIMGDUJsbCzmzJmDkJAQwQl1U1JSUp5fk+YFBAQgIyMDPXv2VPaKlMvl0NfXx5QpUzBlyhTluf+17JjytmXLFty6dQuffPIJbGxsAAApKSkwNDTE48ePsW3bNuW5XM5WeB4eHjh16hSqVKmiMn769GnOytGQHj16YPr06bh9+7ZKz7K1a9diwIABYsNJwJdffgl3d3fUqlVLdBRJyukj+2/p6ekoVaqUgERU0rBYJsjFixfx448/Yv/+/dDT00OXLl0QEBAAR0dH5Tlt2rTB559/LjCl7tq4cWOBznN1dcWePXvg4OCg5UTS0qpVK0yfPh3BwcFo0KABgLd9RgIDA7ndexHlFBi8vLywc+dONvLXkjt37ihfb3/++Wd4eXlh7NixuHjxIoYOHSo4nXQ9e/aMy9c05N1iGGlH69atRUeQnHdnT3t5eWHBggW4ePEiGjZsCODte4lDhw7Bz89PVERJGTlyJExNTfH9999j0aJFAIAKFSpg1KhR6Nevn+B0uq93797Kr3PagHNFUNHlXLCUyWRYsmSJykYJcrkc58+f5+w9+iDY4F+Q2rVro1mzZvj888/RunXrPGfjpKenY+bMmZzhoEUuLi7Yu3cvi2WF9OzZM0yaNAm//vorDAze1tzlcjm8vLwwZ86cPHu8kHb4+PggLCxMOeuBCsbDwwObN29GjRo10KtXL3Tp0gVffPEF7ty5gw4dOrA5ugaEhYXB3t4e7du3BwCMHj0aP//8M8qXL4+1a9fyje4HEhYWhi+//JJFSi3av38/vLy8VPqkUt4K+v89l2pr3osXLwC87blHmrN7926sX78eN2/eBABUrVoVvr6+eS4xpoLp27cvgLdtXxo1aqTyOdnIyAh2dnYYNGhQruXFRJrGYpkgd+/eZd+hYoDFsqK5efOmcncaR0fHXEspSPv4O6yeYcOG4c2bN3B1dcWqVasQHR2NihUr4vjx45g5cyYOHz4sOqLOy5k14urqihMnTmDMmDFYvHgxDh48iJSUFHz//feiI5YInEGtfXyOiUqm8PBwLF26FL1791Yucz19+jQ2b96MMWPGcKlrEQUEBGDq1Kn/WeC9f/8+KlSooNKrmkgTuAxTkH79+mHnzp0oV66cyvizZ8/QtWvX/9xFjKg4qFq1Kq/qkE6aPn06goKCcPjwYcyYMUO5BfnRo0fx0UcfCU4nDQ8fPlTOePz111/Rrl07tGjRAnZ2dujZs6fgdCUHr4lqH59j7eIM6sLp2rUrIiIiYG5uji5durx3WSB77RXNxo0bERgYqDKLzNvbGzVr1sTy5ctZLCuigq6uat++PS9YkFawWCbI3bt3kZ2dnWs8MzMTDx48EJCI6P0Ksxw4ICBAi0mIis7W1hZr1qzJNc4+UJpjZmaGlJQU2NjY4NixYxgzZgyAt4UFuVwuNhwR6Yw7d+4gKytLdAyd4e3tDSMjI+XX7KGlPampqXBxcck17uLigtTUVAGJSiZesCBtYbHsA3t3xtixY8dUejtlZ2cjJiaGyzM/IL6BKLgff/wRNWvWhL6+PmQyWb7/MPE5peLqxYsXyqn8Ob1b8sOeLkX36aefYvz48ahSpQqePHmCjz/+GABw+fJlLtkmItKSUaNGKb/mRgnaVaVKFRw8eBDDhg1TGT9w4ABXXhBJAItlH9jIkSMBvC0oTJ48WeWYgYEB7Ozsco2T9vBKRME9f/4cy5cvh5WVFby9vfNcRkxUnLm7u+P48eOwsrKCm5tbnoXdnG3K2Vi66AICAmBnZ4eUlBRMmDABZcqUAfD2SvxXX30lOB0RkfTl936NbV80w8/PD/7+/oiPj1f2LDtz5gxOnjyJJUuWiA1HREXGYtkHlpSUBOBt4+OdO3fC0tJScCJpun37doHWra9du1bZq4jez9zcHHfu3IGVlRXu3r3LQiPpnA0bNsDc3BwAEBkZKTiN9BkaGsLX1zfXOHu4EBF9GGz7ol1t27bF9u3bERERoSw8Vq9eHTt27ECdOnUEpyOiomKxTJAjR46IjiBpbdq0QaVKleDu7g4PDw94eHjkuezHzc1NQDrd9Omnn6J3796oUKECZDIZunfvnu+uM7xSqRkxMTGIiYnBo0ePcr3Zzekh991338HKykpEPJ3j4eGR59fvExgYiNGjR/PCRgFFR0fj448/hqGh4X++Dnh7e3+gVCWbm5sbSpUqJTqGpNnZ2cHAgG+pqfhg25cPp169eliwYIHoGCUaW8CQtsgUnB4iRGFmNfTr10+LSaTpwYMHiI2NRXx8POLi4nDr1i1UqFAB7u7uaNq0KXr06CE6ok46evQokpOTMWvWLIwePVq5rOrf+vfv/4GTSU9oaChWrFiBevXqoXz58rneCKxYsUJQspLF1dWVOywVgrOzM06cOAErKys4Ozvnex6XuhbdxYsXYWBgACcnJwDAL7/8gh9//BE1atTAqFGjlA2+qWiePXuGw4cPIzk5Gb6+vrCwsMDFixdhbW3NmekfiIuLC/bu3cvX4ULIef3Nq8fsu21fPvnkExHxdNp/9Tx9F/uffhh8jSBtYbFMEC8vL6SlpSEjIwNmZmYA3r4hMzExUekrIJPJOEtHA27evInVq1dj3759yM7O5oe0IgoICMDUqVP5JkCLWrRogfHjx6tsR04fHt+AUXHVvXt3DB06FG3btsXt27fRoUMHtGnTBomJiWjZsiWmTp0qOqLOS0pKwsCBA1G2bFncvXsXhw4dgoODAxYvXoyUlBTMmzdPdMQSYd++ffD29kbp0qVFR9E5bPuiec7OzgWeycTPGx9GSkoKKlSoAH19fdFRSGI4Z1wQf39/bN68GcHBwahevToA4Pr16/j222/xxRdfoFOnToIT6raMjAycPn0acXFxiIuLw6VLl1C9enX07t27wMuvKH85SwBJe968eaNsFkskZT4+PggLC4ONjY3oKDrl5s2bqF27NgDg4MGDcHd3x8KFC3H69GmMHTuWxTINmDNnDrp27YqJEyfCxcVFOd6yZUuMHz9eYDLpKEi7AR8fHxHRJIFtXzTv3dVBd+/excKFC9G1a1c0atQIAHD27FlERUVh3LhxghLqtnd3c/0voaGhAMD3D6Q1LJYJsnTpUixbtkxZKAPeNoQMCAjA6NGjWSwrInd3d5iZmcHHxwdDhgyBm5ubsrE3kS74/PPPsW/fPuUOukRSdefOHWRlZYmOoXMUCoWyuBATE4NWrVoBePuhIS0tTWAy6UhMTMR3332Xa7xixYpITU0VkEha/qvdAGlGTEwMIiIicO3aNQCAo6Mj+vfvj2bNmglOppvevejev39/TJ48GR07dlSOeXt7o1atWti+fTu6du0qIqJOe7e/HpFoLJYJkpqamueHg+zsbDx69EhAImn5+OOPcfr0afz00094+PAhHj58CA8PD1SrVk10NKICef36NbZv346YmBg4OTnlah4dEBAgKBkRFQf16tXDqlWr4Onpifj4eAQGBgJ4W3y0trYWG04ijIyM8uxPdPPmTS5r04CtW7ciJCSE7Qa0aNOmTZg9ezbatm2r7IF87tw5DB06FAEBAejdu7fghLrt7NmzCAoKyjVer149TJs2TUAi3cfVK1ScsFgmiKenJ2bMmIFZs2ahbt26AIALFy4gMDAQnp6egtPpvpUrVwJ4228kPj4eJ06cwNKlS6Gvrw8PDw8sXLhQcEKi97ty5YqyQe/Vq1dVjvHqOxFNmTIFEyZMwC+//IJhw4Ypd3w+fPiwypJBUp+XlxdWrFiBJUuWKMfu3buHBQsW4NNPPxUXTCLYbkD71qxZg4CAAPTp00dl3NXVFatXr2axrIgqVaqE7du3Y+LEiSrjO3bsQKVKlQSlIiJNYYN/QR4/foxJkybh2LFjyhkjcrkcLVq0wJw5c2BlZSU4oTQoFApcunQJsbGxiI2NxfHjx5VjRET/ZcaMGfjmm284i0SLuImCZr1+/Rp6enowNDQUHUXnPX/+HKNHj8aFCxfw8uVLVKhQAQ8fPkSjRo0QFhbGhvNFNH/+fJQuXZrtBrTIxcUFu3fvVhbTc9y8eRNdu3ZFQkKCoGTS8Pvvv8PPzw9VqlRBgwYNAADnz5/HrVu3sHz5crRs2VJwQt136NAhHDx4ECkpKXjz5o3KsaioKEGpqKTgzDJBLC0tsXbtWty8eVPZQ6B69epcJqgh4eHhiI2NxZkzZ/Dy5Us4OTnB3d0dPXv2hJubm+h4RFQMPHv2DOfPn8ejR4/w7+tGOcuC8lpeQVScZGZm4vHjx7mao9va2gpKJB1ly5ZFeHg4Tp8+jaSkJKSnp6Nu3brs9aQhbDegfV5eXvjf//6HwYMHq4xHR0cr+xyS+lq2bInDhw9jy5YtuH79OoC3z/mXX37JpvMaEBkZicWLF6Nbt26Ijo5Gt27dcPv2bSQmJnJWJH0QnFlWzLm6umLPnj284l5I3bt3h4eHBzw8PODm5sZmkUSk4siRIxg/fjzS09NhamqqsrRVJpMhLi5OYLqShTPL1HPjxg1MnTo118wQhUIBmUyGy5cvC0omHbt370b79u1hZGSkMp6ZmYkDBw6w11YR9e3bN99jMplMZddBUs/KlSvx/fffw9XVVblb47lz53DmzBkMHDgQpqamynNzepoRFRefffYZRo0ahY4dO6q8V1i6dCmePn2K6dOni45IEsdiWTHHDxFERJrXtm1bfPzxxxg7dixMTExEx5GsmJgYxMTE4NGjR7lmPuU08d23bx+8vb25pK2QvvzySxgYGGDIkCGoUKFCrl6GOT0PSX21a9fG8ePHc7XGSEtLQ7NmzViQpGLPy8urQOfJZDJER0drOY309O7dW3lx3tXVFaVKlRIdSVIaNmyIAwcOwM7ODp6enggPD4ezszNu3ryJL774ArGxsaIjksRxGSZJ1rNnz7Bz507lMtcaNWrg888/5ywzIsKDBw/Qr18/Fsq0KDQ0FCtWrEC9evVQvnz5fDem8PHx+cDJpCEpKQm7du2Co6Oj6CiSlTNL798ePHjA9xIadv/+fQBgU3QNO3LkiOgIkta8eXOcOnUKERERyMrKQr169VSKZ3yPUTTW1tZ4+vQp7OzsYGNjg7Nnz8LZ2Rl37tzJ1T6DSBtYLCNJSkxMxODBg1GqVCllw82IiAisXr0a33//vXIHUiIqmVq0aIHExETO2tWirVu3IiQkhEvVtMTR0RFpaWmiY0hSly5dIJPJIJPJ0L9/f5VeWnK5HHfu3MFHH30kMKE0ZGdnY+XKlQgPD0d6ejoAoEyZMhg4cCCGDx8OPT09wQmJ3m/EiBEAgKysLCQmJiI+Ph6xsbFYv349ZDIZEhMTBSfUbU2bNsWRI0dQp04ddO/eHSEhITh8+DAuXLiANm3aiI5HJQCLZSRJISEh8PLywsyZM5VvcrOysjBt2jTMnj0bmzZtEpyQiERq2bIl5s+fj2vXrqFWrVq5Gkt7e3sLSiYdb968gaurq+gYkvLixQvl1+PHj8eCBQvg7++PWrVq5dr98t1eRFQ4rVu3BgBcvnwZLVq0QJkyZZTHDA0NYWdnh08//VRUPMlYvHgxdu7ciXHjxilfK06fPo3Q0FBkZmbC399fcELdp1AocOjQIcTGxua5EUhoaKigZNJy+/ZtXL16FUlJSbhy5QrKlCnDDcU0YObMmcrf2d69e8PCwgIJCQnw8vLCF198ITgdlQTsWVbMscG/eho0aICoqKhcy1P++usvdO/eHefOnROUjIiKg/f1c2JzdM2YP38+SpcujZEjR4qOIhnOzs4qywLzWibIBv+aExUVhfbt27MPkZa0aNECQUFBuS5O/PLLLwgKCsKxY8cEJZOOWbNmYdu2bWjSpAmsra1zvV7k9I4k9YwbNw5xcXHIzMyEu7s73N3d0aRJEzg5OeXbeoCIdAdnlhVzrGWqx9TUFCkpKbmKZSkpKSpXiImoZEpKShIdQfJev36N7du3IyYmBk5OTrlm7wUEBAhKpru4O+CH1bVrV9ERJO3p06eoXr16rvHq1avj6dOnAhJJz969exEaGoqWLVuKjiJJP/30E8qVK4cePXqgadOmaNy4MfuUadizZ89w/vx5PHr0KNfnYrZ5IG1jsayYW7t2LSpWrCg6hs5p3749pk6dikmTJsHFxQUAcObMGcybNw8dOnQQnI6IdIWPjw/CwsJgY2MjOorOuXLlinIG39WrV1WO8Yq7ejw8PJRf37t3DzY2NnnOLEtJSfnQ0SRJLpcjIiICBw8eREpKCt68eaNyPC4uTlAyaXB2dsamTZswbdo0lfFNmzZxN1cNMTU1hb29vegYkhUbG4tTp04hLi4OixYtwrVr11C7dm1lk/8WLVqIjqjTjhw5gvHjxyM9PR2mpqYq/97JZDIWy0jruAxTEPYQ0K7MzEzMmzcPW7duhVwuBwAYGBigV69eGD9+PIyMjAQnJCJd4OLigr1793IpPBU7tWvXxvHjx2FlZaUynpaWhmbNmnEZpgYsXboUO3bswKBBg7BkyRIMGzYMd+/exS+//IKRI0eiX79+oiPqtLi4OHz99dewsbFBo0aNAABnz55FSkoK1q5dy55PGhAVFYVjx45h9uzZMDY2Fh1H8m7duoVVq1Zh3759yM7O5utwEbVt2xYff/wxxo4dyxl7JARnlgkSHBz83h4CVDRGRkaYNm0axo0bh+TkZABA5cqV+UJLRESSkFe/MgBIT09njy0N2bdvH2bNmoVWrVph+fLl6NixIypXrgwnJyf2PtUADw8PHDp0CJs3b8b169cBAG3atMFXX33FVRUa0q5dO+zfvx+enp6wt7fPtRw+KipKUDJpSEtLQ3x8POLi4hAbG4tr166hbNmy+OSTT+Du7i46ns578OAB+vXrx89vJAyLZYKwh8CHYWJiAicnJ9ExiIiINCKnIbdMJsOSJUtUPkTI5XKcP3+eS9g05OHDh6hVqxYAoEyZMnj+/DkA4JNPPsHSpUtFRpOMihUrctdLLZo0aRIuXryITp068eK8FjRr1gzlypWDm5sbevbsCQ8PD37u0KAWLVogMTGRs/tJGBbLBGEPAc0bNWpUgc/lMlciItJFly5dAvB2ZtnVq1dhaGioPGZkZARnZ2cMGjRIVDxJqVixIlJTU2FrawsHBwecOHECdevWRWJiIts5qCkpKQm1atWCnp7ef260wqJv0f3+++9Yt24dl7Rqyd69e1GzZk3RMSSrZcuWmD9/Pq5du4ZatWrlmhn57510iTSNxTJB/Pz8sGLFCvYQ0KCyZcuKjkBERKRVGzduBPB2N9GpU6fC1NRUcCLpatOmDWJiYtCwYUP07dsXEyZMwM6dO3Hv3j0MGDBAdDyd1KVLF5w4cQJWVlbo0qULZDJZnju/y2Qy9nvSgEqVKvE1QotYKNOub7/9FgCwYsWKXMf4GkEfAhv8C/Lq1SuMHDkSZ86cYQ8BDYmOjsZHH33Eq71EpDFs8E9EOc6ePYuEhARUqVIFXl5eouPopLt378LW1hYymQx3795977l2dnYfKJV0/fbbb9i4cSOCgoK4okVLDh06lO+Oufw8R6TbWCwT5JtvvkFsbCzatm2bZw+BwiwppLdq166NEydOwNLSMt9dwoiICmPfvn3w9vZG6dKlRUchUpGeno6wsDCcPHkSjx49yrWrdnR0tKBk0vDmzRtMnz4dI0aMYLFcS+Lj4+Hi4pLrgnFWVhYSEhLYIF0D3N3dkZGRAblcDmNjY5Vl28DbHUlJfZGRkVi8eDG6deuGbdu2oVu3brh9+zYSExPRu3dv9uMj0nFchikIewhonqWlJc6ePQsvL698dwkjIgLevsHNi0wmQ6lSpVC5cmW4u7vDx8fnAycjKphp06YhLi4OnTt3Rvny5flvnoYZGhri559/xogRI0RHkax+/frleWHz+fPn6NevH5dYacCUKVNER5C0zZs3Y+bMmejYsSN+/PFHDBkyBA4ODli6dCmePn0qOp5OioyMxBdffIFSpUrl+14tR79+/T5QKiqpWCwThD0ENO/LL7/EiBEjIJPJIJPJ0Lx583zP5RswopItIiICaWlpyMjIgLm5OQDg6dOnMDExQenSpfHo0SM4ODggMjISNjY2gtMS5Xb06FGsWbMGjRs3Fh1Fslq3bo3o6Gj2J9OS/C5sPnnyRGWXV1Jf165dRUeQtJSUFLi4uAAAjI2N8fLlSwBA586d8cUXX2D69Oki4+mkiIgI+Pj4oFSpUoiIiMj3PJlMxmIZaR2LZYJMnjwZ8+fPZw8BDfLz80P79u2RnJyM4cOHIyQkhE3/iShPY8eOxbZt2xAcHIzKlSsDAG7duoXp06fjiy++gKurK/z9/RESEoJly5YJTkuUm5mZGSwsLETHkLQqVapgxYoVOHPmDOrWrZurgMMPaurJaTUik8kwefJklV6zcrkcV65cURYgqOiSk5Oxa9cu3L59G1OnToWVlRV+//132NraskF9EVlbW+Pp06ews7ODjY0Nzp49C2dnZ9y5cyfPjSvov+3Zs0f5+e3IkSOC01BJx55lgrCHgHaFhobC19f3P69Mnj59GvXr1+emAEQlTOvWrbF8+XLUrl1bZfzSpUvw8/NDdHQ0zpw5g9GjR+P48eOCUhLlb8+ePYiOjsbcuXM5C0dL3tfEXyaTsS+cmgICAgC8bX7erl07lV3hDQ0NYWdnhx49esDS0lJURMmIi4vDkCFD4Orqivj4eBw8eBAODg4ICwvDhQsXeDGoiKZOnQobGxuMGjUKmzZtwrx58+Dq6ooLFy6gTZs2mD17tuiIOufdvtP9+vVDaGgozMzMRMeiEoozywRhDwHtKugGCUOGDMGePXvYvJeohElNTUVWVlau8aysLDx8+BAAUKFCBeWSCqLiJjw8HMnJyWjWrBl31dYSzmrQjpCQEABvd7ssyIVNUt/ChQsxZswYDBw4UGW2XtOmTfHDDz8ITCYNM2fOVG6u0rt3b1hYWCAhIQFeXl744osvBKfTTaVLl8aTJ09gZWWFuLi4PN+rEX0oLJYJwh4CxQMnVhKVTE2aNMGMGTMwa9Ys1KlTB8DbWWWBgYFo2rQpAODq1atcJk/FVuvWrUVHoH+4urrywpsaOnfujAcPHqBq1aoq4zdv3oSBgQFffzXg6tWrWLBgQa5xS0tLpKWlCUgkHVlZWVi9ejU+//xzVKpUCQDQoUMHdOjQQXAy3dasWTP069cP1atXBwCMHDky1wqsHP+1AQBRUbFYJsi9e/fee9zW1vYDJSEiKnmCg4MxceJEdOvWTTkjRy6Xw9PTE8HBwQDeXt2cNGmSyJhE+SroDGrSPl54U09AQAC6d++eq1h27tw57Ny5Exs3bhQTTELKli2L1NTUXIXcy5cvo2LFioJSSYOBgQHWr1+PLl26iI4iKfPnz0dUVBSSk5MRHx+PmjVrqizVJvqQWCwTxMvL673bvHO3RiIi7SlfvjzCw8Nx7do13Lx5EwBQrVo15ZVMAMoZZkTF2YULF3Dt2jUAQM2aNZUzJYmKu0uXLikvTryrUaNGmDlzpoBE0tOhQwcsWLAAS5cuhUwmQ3Z2Nk6fPo25c+eyyKMBTZs2RXx8PGdBapCxsTF69eoF4O2/b+PHj2fPMhKGxTJBdu/erXL/zZs3uHz5MsLDw+Hv7y8mFBFRCXHq1Cm4ubnB0dERjo6OouMQFdqjR4/g7++PuLg45QeJZ8+eoUmTJli8eDGbo1OxJ5PJ8uwL+fz5c8jlcgGJpMff3x/fffcdWrVqBblcjg4dOkAul6Njx44YPny46Hg67+OPP8bChQtx9erVPHfM9fb2FpRMGgo6u5RL4UlbuBtmMfPbb79h/fr1nHr+gfDFlahkqlevHipUqICOHTuiU6dOqFGjhuhIRIUyZswY3L59G/PmzVMWfP/66y9MmjQJVapUwaJFiwQnLDlcXFywd+9evpcopGHDhqFUqVJYtGgR9PX1AbxdDu/v74/09HSsW7dOcELpuHfvHv7880+8fPkSderUybX0ldTj7Oyc7zGZTMaVQh8IX4NJWzizrJipVq0aEhMTRccoMVgrJiqZjh49igMHDmD//v0ICwuDk5MTfHx80LFjR2WjXqLi7NixYwgPD1eZGVmjRg3MmDEDgwYNEpis5HlfWw3K3/jx49G7d2989tlncHNzA/B21u+LFy+wYcMGwemkxdbWlv2QtSApKUl0BCLSIhbLBHnx4oXKfYVCgb///huhoaGoUqWKoFTS8erVKygUCuV06Lt37+J///sfatSogRYtWijPS0hIEBWRiASytLREnz590KdPH9y+fRv79+/H7t27sWjRIri5uXGHJSr2srOz89whzMDAANnZ2QISlVy88KaeGjVqYO/evdi0aROSkpJgbGyMzp07o0+fPrCwsBAdT2eFhIQU+NyAgAAtJiEi0m0slgni5uaW60qkQqGAjY0Nl05owIgRI9CmTRv06tULz549Q8+ePWFgYIC0tDRMnjwZX331leiIRFRMODg4YOjQoXB2dsbSpUsRHx8vOhLRf2ratCmCg4OxcOFC5a52Dx48QEhICDw9PQWnk4bQ0FD4+vrm6kP06tUrrFu3Trkj6dq1a7mzoJoqVqyIsWPHio4hKZcuXcp1Xy6Xo1q1agCAmzdvQk9PD3Xr1hURT+cV5mJav379tJiEiLSNPcsEiYuLU7mvp6eHcuXKoUqVKjAwYA2zqJo0aYIffvgBNWvWxI4dO7Bx40bs3r0bhw8fxrJly3Dw4EHREYmoGDh9+jT27duHw4cP4/Xr1/D29oaPjw8+/vhj0dGI3islJQXDhw/HX3/9pVw6fP/+fdSsWROrVq3icmINqF27No4fPw4rKyuV8bS0NDRr1oz9iDTg1KlT2Lp1K+7cuYOlS5eiYsWK2L17N+zt7ZVLM0l94eHhiI2Nxdy5c2Fubg4AePr0KQICAuDm5sYl22rw8vJSuZ+WloaMjAyVjVZMTExgaWmJ6OhoERFLHPagJm1hVUYQDw8PAG+b8d67dw9v3rzB06dPcfPmTQDcPaWoXr16hTJlygAAjh8/jk8//RR6enpo1KgR7t27JzgdEYm2cOFC/PTTT/j777/RvHlzTJ06Fd7e3rlmkBAVVzY2NoiKisIff/yB69evAwAcHR3RrFkzwcmkQ6FQ5NmPLCkpSVl4IPUdPnwYEydOhI+PDy5evIjMzEwAb1uVrFmzhsUyDfj+++/x/fffq/y+mpubY8yYMRg0aBCLZWo4cuSI8ut9+/Zh8+bNCA4ORvXq1QEA169fx7fffosvvvhCVMQSh3N/SFtYLBPk9u3bGDVqFK5cuQKZTKb8nzznTRmvVhZN5cqV8csvv6BNmzY4fvw4BgwYAAB49OgRTE1NxYYjIuHi4+Ph6+uLdu3awdLSUnQcIrXIZDI0b94czZs3Fx1FUtzd3SGTySCTydC2bVuVgplcLkd6ejq+/PJLgQmlYdWqVQgKCkKXLl3w008/KcddXV2xatUqgcmk48WLF3j8+HGu8cePH+Ply5cCEknL0qVLsWzZMmWhDACqV6+OgIAAjB49Gp06dRKYruTgUnjSFhbLBAkODoadnR3Cw8Ph7e2NHTt24MmTJ5g7dy4mTZokOp7OGzlyJMaPH6/s3eLi4gIAOHHiBGrXri04HRGJtnXrVgBvZ/deuHABb968UTnO2b2kC86fP4/Y2Fg8fvw4V1N/Nu5W35QpU6BQKDBlyhT4+fmhbNmyymOGhoaws7NTvq8g9d24cSPP2WNly5bFs2fPBCSSnjZt2iAgIACTJ09GgwYNAADnzp3DvHnz8OmnnwpOp/tSU1ORlZWVazw7OxuPHj0SkEhaFAoFDh06lO+/c6GhoQDAWaikNSyWCZKQkIANGzbA0tISenp60NPTg5ubG8aOHYtZs2Zh9+7doiPqtM8++wyNGzdGamoqnJ2dleOenp5o3bq1wGREVBxwdi/putWrV2PJkiWoVq0arK2tVY7ltXSQCq5r164AAHt7e7i4uOS56ygVnbW1NZKTk2Fvb68yfvr0afYe0pCgoCDMnTsX48aNUxZ19PX18fnnn2PixImC0+k+T09PzJgxA7NmzVJumHDhwgUEBgZyoxUNCA4OxrZt29CkSRNYW1vz3zb64FgsEyQ7O1vZU6tcuXL4+++/Ub16ddjZ2eHGjRuC00lD+fLlUb58eQBvp6GfPHkS1apVg6Ojo+BkRCTav2f37ty5E2lpaZzdSzojMjISs2fPRrdu3URHkZQXL14o2zXUqVMHr1+/xuvXr/M8l20diqZnz54IDg7G7NmzIZPJ8ODBAyQkJGDu3LkYMWKE6HiSYGJigsDAQEycOBHJyckA3rYqKV26tOBk0jB79mxMmjQJ3bt3V27QJpfL0aJFCwQHBwtOp/v27t2L0NBQtGzZUnQUKqFYLBOkZs2auHLlChwcHNCwYUOsW7cOhoaG2L59O6+macA333wDd3d39OnTB69evUL37t1x9+5dKBQKLFq0CG3bthUdkYgE+vfsXplMxtm9pFP09PTg6uoqOobkuLu7K3fAdHNzy3MmQ07jf85ALZqhQ4ciOzsbAwYMQEZGBvr06QMjIyMMGjQIffv2FR1PUlJTU5Gamgp3d3cYGxvnu3kFFY6lpSXWrl2Lmzdv4tq1awDe9iyrVq2a4GTSYGpqmmvmKdGHxGKZIMOHD0dGRgYAYPTo0fj666/Ru3dvWFhYYPHixYLT6b5Tp05h+PDhAID//e9/UCgUiI+PR1RUFFatWsViGVEJx9m9pOv69++PTZs2YerUqaKjSMqGDRuUOwdu2LCBBQUtkcvlOHPmDHr37g1fX18kJycjPT0djo6OytdmKrq0tDSMGTMGsbGxkMlk+Pnnn+Hg4IApU6bA3NwckydPFh1REqpWrYqqVavme9zV1RV79uzhhIhC8vPzw4oVKzB79mwYGxuLjkMlEItlgnz00UfKr6tUqYJDhw7hyZMnMDc35xszDXj+/Lnyze6xY8fw6aefwsTEBK1atcL8+fMFpyMi0Ti7l3Sdr68vhg4ditatW6NGjRrKJUA5chofU+F4eHgov27SpInAJNKmr6+PQYMG4cCBAzAzM0ONGjVER5KkkJAQGBgY4LfffkO7du2U4+3bt8ecOXNYLPtAcvqiUuG0a9cO+/fvh6enJ+zt7XP9OxcVFSUoGZUULJYVIxYWFqIjSIaNjQ0SEhJgbm6OY8eOYdGiRQCAZ8+ewcjISHA6IhKNs3tJ182aNQuxsbFo0qQJLCwseKFNC5YvX46RI0dCT09PZfz58+eYMWOG8r0FqadmzZq4c+cOL1Bo0YkTJ7B+/XpUqlRJZbxq1aq4d++eoFREBTNp0iRcvHgRnTp1YoN/EoLFMpKkfv36YcKECShdujRsbW2VV4fj4+NRq1YtwemISDTO7iVdFxUVheXLl6NVq1aio0jWzp07ceLECcyfP19Z0ImNjcWkSZNy7UBKhTdmzBjMnTsX33zzDerWrZur6Tw3UCi69PT0PJevPXnyhBePqdj7/fffsW7dOri5uYmOQiUUi2UkSb1790aDBg1w//59NGvWTHlV2MHBAWPGjBEbjoiKJc7uJV1iYWHBGTlatnfvXkyfPh2dO3fG5MmTcePGDWzcuBG+vr7w8/MTHU/nDR06FMDbmb7vXqTgBgqa4+bmht27d6u8983Ozsa6deu4zJiKvUqVKrFoTkLJFFxETRKX8yvO2SJERCQVu3btwrFjxxASEgITExPRcSRt0aJFCAsLg4GBAdauXQtPT0/RkSQhLi7uvcff7R9H6vnzzz/Rv39/1KlTBydPnoSXlxf++usvPH36FFu2bEHlypVFRywR2OBfPb/99hs2btyIoKAg7opJQrBYRpK1e/durF+/Hjdv3gTwtj+Dr68vunTpIjQXERFRUXXp0gXJyclQKBRsfKxFGzduxMKFC+Ht7Y2LFy9CX18fCxcuhLOzs+hoRO/15s0bDB48GOPGjcOJEyeQlJSE9PR01KlTB71790aFChVERywxXFxcsHfvXhbLCsnd3R0ZGRmQy+UwNjaGoaGhyvH/KrgTFRWXYZIkhYeHY+nSpejdu7dy6vnp06cRGBiIJ0+eYMCAAULzERERFUXr1q1FR5A8X19fXLhwAXPmzMFnn32GV69eISQkBD179oSfnx+GDBkiOqLOSUpKQq1ataCnp4ekpKT3nsuCZNEYGhriypUrMDMzw/Dhw0XHKdHWrl2LihUrio6hc6ZMmSI6ApVwnFlGkuTl5YXRo0fnmkWW0xD5yJEjYoIRERF9QPv374eXl1eu5un03wYOHIg5c+bk+pD722+/Ydq0aTh+/LigZLrL2dkZJ06cgJWVFZydnSGTyZDXRxH2LNOM2bNnw8jICOPHjxcdRZIUCgUOHTqE2NhYPH78GNnZ2SrHQ0NDBSUjIk3gzDKSpNTUVLi4uOQad3FxQWpqqoBEREREH9706dPRsGFDFsvUEB4ejlOnTmH+/Pm4ffs2li1bhooVK+LJkydYsmSJ6Hg6KTo6GpaWlsqvSbvkcjm2bNmCP/74A/Xq1cvV3zAgIEBQMmkIDg7Gtm3b0KRJE1hbW7M/sobdu3fvvcdtbW0/UBIqqVgsI0mqUqUKDh48iGHDhqmMHzhwAFWrVhUTioiI6APjAgL1HT58GBMnToSPjw8uXbqEzMxMAMCLFy+wZs0auLm5CU6oe+zs7PL8mrTj6tWrqFOnDgDgxo0bKsdY2Cm6vXv3IjQ0FC1bthQdRZK8vLze+3vK2aekbSyWkST5+fnB398f8fHxcHV1BQCcOXMGJ0+e5NVgIiIi+k+rVq1CUFAQunTpgp9++kk57urqilWrVglMprsKM5vM29tbi0lKho0bN4qOIGmmpqbcpVGLdu/erXL/zZs3uHz5MsLDw+Hv7y8mFJUoLJaRJLVt2xY7duxAeHi48o1Z9erVsWPHDuUVNiIiIqL83LhxI8/ZY2XLlsWzZ88EJNJ9I0eOVLn/755l784i4awRKu78/PywYsUKzJ49G8bGxqLjSE5em3zUr18fFSpUwPr16/Hpp58KSEUlCYtlJDlv3rzB9OnTMWLECCxYsEB0HCIiItJB1tbWSE5OzjVz5PTp03BwcBCUSre9uwPmH3/8gQULFsDf31/ZZzYhIQFLlizB2LFjRUUkKrB27dph//798PT0hL29PQwMVD9aR0VFCUombdWqVUNiYqLoGFQCsFhGkmNoaIiff/4ZI0aMEB2FiIiIdFTPnj0RHByM2bNnQyaT4cGDB0hISMDcuXP5HkMDZs+ejcDAQJXZex999BFMTEzw7bff4uDBgwLTEf23SZMm4eLFi+jUqRMb/GvBixcvVO4rFAr8/fffCA0NRZUqVQSlopKExTKSpNatWyM6OhoDBgwQHYWIiEgYOzu7XLMdqGCGDh2K7OxsDBgw4P/au/eYqus/juOv70FUROWiWcwQOd6wvKGAoeYax6xWmuaylWllF7WUTazImoWFI1xppdlmNkvT5WVOQ1taqEneUAOzMJpyRAwVxdClzLic3x8ivxHmjeDj9/h8bGyczzl/vP44w/n6fj7vj0pLS/Xkk0+qcePGGjt2rEaPHm06nu0dPnxYLVu2rLXevHlz/fHHHwYSAdfmhx9+0IIFC7jso55ERUXVKiA9Ho9CQkI0a9YsQ6lwM7E8XJMELzRv3jwtXLhQsbGxuvPOO2tdlT1mzBhDyQAAgJ38/fffOnz4sM6dO6cOHTrI39/fdCSvMGrUKDVp0kQzZ85U69atJUknT55UYmKizp8/ry+//NJwQuDy7r//fn3wwQeXnK2FusvMzKzx2uFwKCgoSGFhYTwEQoOgLINXiouL+9f3LMu6ptuYAAC40URHR1/yyI9lWWrcuLHCwsI0fPhwjRgxwkA64Mry8/M1ceJEud1uhYSESJKOHj2q9u3b6+OPP+aYFW54mzdv1uLFizV9+nRuxaxHBw4cUGFhocrKymqsc2Mu6htlGQAAgM18/vnn+uSTTzRw4ED16NFDkvTzzz8rIyNDTz/9tI4cOaI1a9Zo2rRpGjlypOG0wKV5PB5t3bpVeXl5kqQOHTqoX79+zH6CLURHR6u0tFQVFRVq2rSpfH19a7z/z51RuDYFBQWaOHGicnNza9yce/HvAzfmor5RlsErpaSkXHLdsiw1adJE7dq1k8vlUmBgYMMGAwDgPzBp0iT169dPjz/+eI31r776Slu3btWcOXO0ePFiLV++XGlpaYZSAnU3ZMgQzZ8/v3r3GXCjuNJtl8OHD2+gJN5p/PjxcjgcSk5Olsvl0ooVK1RSUqLU1FQlJiYyKw71jrIMXmn06NHKyclRZWWlwsPDJUlut1s+Pj5yOp1yu92yLEtLly5Vx44dDacFAODaREZGavXq1bWOquXn52vYsGHKysrS4cOHNXToUGVnZ5sJCfwHIiMj9fXXXys0NNR0FAANqG/fvvriiy8UERGhPn36aMWKFXI6ndq+fbtSU1O1evVq0xHh5RymAwD1weVyqV+/fsrIyNCqVau0atUqbdmyRf369dODDz6oLVu2KCoq6l93oAEAcCMLCAjQpk2baq1v2rRJAQEBkqRz584xjB4A6klhYeFlf1A3lZWV1f+GBQUFqaioSNKFW57dbrfJaLhJcI0EvNJnn32mhQsXqnnz5tVrLVq00KRJkzR27Fg99dRTeumllzR27FiDKQEAuD4vvviikpKStGPHjuqZZfv27dOWLVuUlJQkSdq2bZuio6MNpgQA7xUXF3fZ+XrM1KqbTp06KTc3V6GhoerZs6cWLFggX19fLV++nJ2maBCUZfBKf/31l4qLi2sdsTx16pT++usvSVLLli1r3aoCAIAdjBw5Uh06dNCSJUv03XffSZLCw8O1ePFi9e7dW5J4IAQA9eifxwDLysq0f/9+LVy4UJMnTzYTyotMmDBBpaWlkqT4+HiNGzdOo0aNUmBgoGbPnm04HW4GlGXwSnFxcXr99df12muvqXv37pIuPHFPTU3VoEGDJF24Nax9+/YGUwIAcP369OmjPn36mI4BADeliIiIWmvdu3dXmzZt9Nlnn2nw4MEGUnmPu+++u/r3sLAwffvttyopKVFAQAA35qJBUJbBK7399ttKSUnR5MmTVVFRIUny8fHR8OHDNXXqVEmS0+nUjBkzTMYEAOC6VVZWKj8/X8XFxfrnfU0cvwQAM8LDw7Vv3z7TMbxSYGCg6Qi4iXAbJrza2bNnVVBQIEkKDQ1l0DEAwCtkZ2drypQpKiwsrFWUWZbFrBzc8M6fP68mTZpc8XNpaWlyuVxq1qxZA6QCrt7F0S4XeTweFRUVae7cucrLy9OaNWsMJQPwX6AsAwAAsJmHH35Y7du3V3x8vG655ZZaR1JatGhhKBlwdbp3764ePXooOjpaffv2VWRkpJo2bWo6FnDVIiIiav3t9Xg8CgkJ0axZsxQZGWkoGYD/AmUZAACAzfTq1Utr1qxRWFiY6SjAddm9e7d2796tzMxMZWVlqby8XN26dVNMTIxiYmLUv39/0xGBy8rMzKzx2uFwKCgoSGFhYWrUiGlHgN1RlgEAANjMmDFj9Nxzz2ngwIGmowB1Vl5ern379mnZsmVKS0tTZWUlR4lhGwcOHFBhYaHKyspqrLtcLkOJAPwXqLwBAABsZvTo0UpNTdXJkyfVuXPnWrsYLnVLG3CjcbvdyszMVGZmpnbu3KmysjLdc889iomJMR0NuKKCggJNnDhRubm5siyren7kxaOZFL6AvbGzDAAAwGYuVYZd/M8aA/5hB3fffbfOnz9ffewyJiZGXbp0qTUDCrhRjR8/Xg6HQ8nJyXK5XFqxYoVKSkqUmpqqxMRERUVFmY4IoA7YWQYAAGAz6enppiMAdRIcHKy8vDydPHmy+icsLEx+fn6mowFXJSsrS1988YWCg4PlcDjkcDgUFRWlhIQEJScna/Xq1aYjAqgDyjIAAACbadu2rekIQJ2sWbNGZ86c0a5du7Rr1y7NmjVLBw8eVNeuXdW3b19NnjzZdETgsiorK+Xv7y9JCgoKUlFRkZxOp9q2bSu32204HYC6oiwDAACwgfT0dA0cOFC+vr5X3FnGYGnYQcuWLeVyudS7d29FRkYqPT1d69at0969eynLcMPr1KmTcnNzFRoaqp49e2rBggXy9fXV8uXLFRoaajoegDpiZhkAAIANREREaOvWrWrVqtVlB/gzswx2sGHDhurB/gcPHlRAQID69OlTPb+MSypwo8vIyFBpaakGDx6s/Px8jRs3TocOHVJgYKBmz56t2NhY0xEB1AFlGQAAAIAGFRsbq+joaMXExCg6OlpdunQxHQmos5KSEgUEBHBRBeAFKMsAAAAAAACAKswsAwAAsIFFixZd9WfHjBlTj0mA/0ZFRYW+//57HTx4UJLUsWNHuVwu+fj4GE4GALjZsbMMAADABuLi4mq8/vPPP1VaWqqWLVtKks6cOSM/Pz8FBwdf8QIAwLT8/Hy98MILOn78uMLDwyVJbrdbt912m+bPn6927doZTggAuJlRlgEAANhMWlqali5dqhkzZsjpdEqS8vLyNG3aND322GMaOnSo4YTA5T3//PPyeDx67733FBgYKOlCAfzKK6/I4XBo/vz5ZgMCAG5qlGUAAAA2M2jQIH300Ue64447aqz/8ssvio+P18aNGw0lA65Or169tGzZslqD/X/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+ "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "def robust_zscore_col(s):\n", + " med = np.nanmedian(s)\n", + " mad = np.nanmedian(np.abs(s - med))\n", + " if mad == 0 or np.isnan(mad):\n", + " return np.zeros(len(s))\n", + " return (s - med) / (1.4826 * mad)\n", + "\n", + "for k in [2, 5, 10]:\n", + " prof = dfc.groupby(f\"cluster_k{k}\")[profile_vars].median()\n", + " prof_z = prof.copy()\n", + "\n", + " for c in prof.columns:\n", + " prof_z[c] = robust_zscore_col(prof[c].values)\n", + "\n", + " plt.figure(figsize=(14, 4))\n", + " sns.heatmap(prof_z, cmap=\"RdBu_r\", center=0)\n", + " plt.title(f\"Cluster signatures — K={k}\")\n", + " plt.tight_layout()\n", + " plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 48, + "id": "6e7fa1e2-cec7-41be-943f-d06b25e1e175", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", 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", 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XtG7dOotfsK1hNBqVmZl5V8d2FhaSbMAO/v3vf+vEiRPKycnRxYsXtXv3bn333Xfy9fXVRx99dMftALNnz9a+ffsUHh6uqlWrKj09XcuXL5ePj495v2qNGjVUvnx5ffrppypXrpzc3NzUqFEj1a5dWzVq1NAHH3ygCxcuyN3dXZs2bSpQQte8eXO1b99eS5Ys0enTp/XII4/IaDTqhx9+UHBwsF588UXVqFFDgwYN0pQpU3Tu3Dm1adNG5cqV09mzZ7V161Y9//zzioiIyHcMf+fRRx/V5s2b1a9fPz366KM6e/asPv30U9WpU0dZWVnmdq6urqpTp442bNigmjVrqkKFCqpbt67q1atn1Xj//e9/zedy/3l+9oQJE9ShQwfFxMToww8/vOPzDz74oHbu3KmFCxeqcuXKqlatmho3bmxVDHf7M3d2dta4ceP06quv6plnnlGnTp30j3/8QxcuXNDu3bvl7u6uuXPnWjV2YQkMDNTMmTMVGRmpPn36aNmyZapYsWKB9mT/uY/z+PHjkv5InP88HzwqKsrcbvDgwerWrZt69uyp559/XufPn9fChQsVGhqqsLCwAs4MwJ9SUlK0evVqffPNN+ZfpCMiIvSf//xHq1ev1pAhQ/LVb1xcnLKyshz6L08k2YAd/LlNoUyZMqpQoYLq1aunt956S506dbL42EVeWrdurXPnzmnVqlX6/fffVbFiRTVr1kwDBgyQh4eHud8JEyZo6tSpGjNmjG7duqXY2Fh16tRJc+fO1bhx4zRv3jyVLVtWbdu2VY8ePdS+fft8zyc2NlYGg0ErV67UxIkT5eHhoYCAAAUGBprbvPbaa6pZs6Y++eQTzZ49W5Lk4+Ojli1bWnzIpTB06tRJFy9e1GeffaYdO3aoTp06mjRpkjZu3JjrE+rjxo3Te++9p9jYWN28eVP9+/e3KsnOyclRdHS0KlasqLfeestcXrNmTQ0ZMkTvv/++vvrqK4ttB381YsQIjR49WtOnT9f169fVsWNHq5Ns6e5/5sHBwfrss880Z84cLV26VFlZWfL29lajRo3UtWtXq8ctTKGhoZo4caLefPNNvfrqq/rkk0/+9n8zd/LXX3hWrVpl/vP/JtkPPvigFi5cqMmTJys2NlblypXTc889l+//hw8gb0ePHlVOTk6ufyHKzs7O9yr0unXrNHv2bM2ZM+eOBwsUNieT6Q5fNgAAAABsxGAwWJwu8tVXX2no0KFKSEjI9ZKym5tbri1fI0aM0JUrV3KdLvKn9evX66233tKHH36oRx99tFDmcLdYyQYAAIBDNGjQQDk5Ofrtt9/08MMPF6ivhIQEvfXWW5o6darDE2yJJBsAAACFKDMzU8nJyeb7s2fPKjExUZ6enqpVq5batWun4cOHa8SIEWrQoIF+//137dy5UwaDwZwsHz9+XDdv3tSlS5eUmZmpxMRESf93EMC6des0YsQIvfXWW2rcuLH5TH9XV1fz1kp7c+h2kWXLlikuLk5paWmqX7++Ro0apUaNGjkqHAAAANjY7t278zx2s2PHjpowYYJu3rypjz76SGvXrlVqaqoqVKigJk2aaMCAATIYDJL+7/2kv/rz/P2ePXvmeufmf8dwBIcl2V999ZWGDx+umJgYNW7cWIsWLdLGjRu1ceNGh25SBwAAAArKYUl2ly5d1LBhQ40ePVrSH+cZhoeHq2fPnnrttdccERIAAABgE3f/vWAbys7O1pEjRyzOOXV2dlaLFi20f/9+R4QEAAAA2IxDkuzff/9dOTk5ubaFVKpUSRcvXnRESAAAAIDNFNvTRdo6d3F0CAAAAEXSppSDcvY56ugwcjGet+6LurZk75+HQ1ayK1asqFKlSik9Pd2iPD09Xffff78jQgIAAABsxiFJtouLix588EHt3LnTXGY0GrVz506LzzIDAAAAxZHDtov06dNH0dHRCggIUKNGjbRo0SJdu3ZNnTp1clRIAAAAKERGGR02tr1Xlh2WZD/99NP67bffNGPGDKWlpalBgwb617/+xXYRAAAAFHsO/eJjQfDiIwAAQN6K6ouPN36t7bCxy1Y5YdfxHLInGwAAALiXFdsj/AAAAFC8GFUsN1DkCyvZAAAAgI2RZAMAAAA2xnYRAAAA2IUjj/CzN1ayAQAAABuzeZK9d+9eRUZGKjQ0VAaDQVu3brWo37x5s15++WUFBwfLYDAoMTHR1iEAAACgCMoxmRx22ZvNk+ysrCwZDAa9++67t60PCgrS0KFDbT00AAAAUCTYfE92eHi4wsPDb1vfoUMHSdLZs2dtPTQAAABQJPDiIwAAAOyCc7IBAAAA5Bsr2QAAALCLHFayAQAAAOQXK9kAAACwi5K0J9vmSXZmZqaSk5PN92fPnlViYqI8PT3l6+urS5cu6ddff1Vqaqok6eTJk5Kk+++/X97e3rYOBwAAALA7J5PJtqdz7969W7169cpV3rFjR02YMEGrV6/WyJEjc9X3799fAwYMuOtx2jp3KVCcAAAA96pNKQfl7HPU0WHkkpZS1WFje/ues+t4Nk+y7YUkGwAAIG9FNck+f87XYWP7VE2x63i8+AgAAADYGC8+AgAAwC6Mjg7AjljJBgAAAGyMJBsAAACwMbaLAAAAwC744iMAAACAfLP5Sva8efO0efNmnThxQq6urgoMDNTQoUNVu3ZtSdKlS5c0c+ZM7dixQ7/++qu8vLzUpk0bvfHGG/Lw8LB1OAAAACgickrOQrbtk+w9e/aoR48eatiwoXJycjR16lRFRERo/fr1cnNzU2pqqlJTUxUdHa06dero3LlzGjNmjFJTUzVjxgxbhwMAAADYXaF/jOa3335TSEiIli5dqqZNm+bZZsOGDRo2bJgOHDig0qXvLu/nYzQAAAB5K6ofozlxtorDxq5d7Ve7jlfoe7IzMjIkSZ6enrdtc/XqVbm7u991gg0AAAAUZYWaZBuNRo0fP15BQUGqV69enm1+++03zZkzR127di3MUAAAAAC7KdSl45iYGB07dkzLly/Ps/7q1avq27ev/P391b9//8IMBQAAAA6WIydHh2A3hZZkjx07Vtu3b9fSpUvl4+OTq/7q1at65ZVXVK5cOc2ePVtlypQprFAAAAAAu7J5km0ymfTee+9py5YtWrJkiapXr56rzdWrVxURESEXFxd99NFHKlu2rK3DAAAAQBFj5Ai//IuJiVFCQoLmzJmjcuXKKS0tTZLk4eEhV1dXXb16VS+//LKuXbumSZMm6erVq7p69aokycvLS6VKlbJ1SAAAAIBd2TzJjo+PlyT17NnTojw2NladOnXSkSNHdPDgQUlS27ZtLdps27ZN1apVs3VIAAAAgF3ZPMlOSkq6Y31wcPDftgEAAMC9pyS9+Fjo52QDAAAAJQ1ffwEAAIBdsJINAAAAIN9YyQYAAIBdGE2sZAMAAADIJ5JsAAAAwMZsvl1k+fLlio+P17lz5yRJdevWVVRUlMLDwyVJo0eP1vfff6/U1FS5ubkpMDBQQ4cOlb+/v61DAQAAQBFSHF58bN26tTmP/V8vvPCC3n333bvux+ZJto+Pj4YOHSo/Pz+ZTCatXbtW/fr105o1a1S3bl09+OCDateunapUqaLLly9r5syZioiI0LZt2/jaIwAAABxq5cqVysnJMd8fO3ZMffr00ZNPPmlVPzZPslu3bm1xP3jwYMXHx+vAgQOqW7euunbtaq6rVq2aBg0apPbt2+vcuXOqUaOGrcMBAABAEZFTDHYqe3l5WdzPnz9fNWrUULNmzazqp1BnmpOTo/Xr1ysrK0uBgYG56rOysrR69WpVq1ZNPj4+hRkKAAAAYJXs7Gx9+eWX6ty5s5ycrNvqUihH+CUlJalbt266ceOG3NzcNHv2bNWpU8dcv2zZMk2ePFlZWVmqVauWFi5cKBcXl8IIBQAAAEWEI4/wy87OVnZ2tkWZi4vLHXPQrVu3KiMjQx07drR6PCeTyWSy+qm/kZ2drV9//VUZGRnatGmTPv/8cy1dutScaGdkZCg9PV1paWmKi4tTamqq4uPjVbZs2bseo61zF1uHDQAAcE/YlHJQzj5HHR1GLrtP13LY2Hu+HKJZs2ZZlPXv318DBgy47TMREREqU6aM5s6da/V4hZJk/1Xv3r1Vo0YNjR07Nldddna2mjVrpnHjxumZZ5656z5JsgEAAPJGkp1bYJUkq1ayz507pzZt2mjmzJlq06aN1ePZ5YuPRqMx16T+l8lkumM9AAAAij9HHuH3d1tD/mr16tWqVKmSHn300XyNZ/Mke8qUKQoLC1OVKlWUmZmphIQE7dmzR3FxcTpz5oy++uortWzZUl5eXjp//rzmz58vV1dX8znaAAAAgCMZjUatXr1aHTp0UOnS+UuXbZ5kp6enKzo6WqmpqfLw8JDBYFBcXJxatmypCxcuaN++fVq0aJGuXLmiSpUq6eGHH1Z8fLwqVapk61AAAABQhOSYiv4RfpL0/fffKyUlRZ07d853H3bZk10Y2JMNAACQt6K6J/s/p+r8faNC8kjN43Ydr3j8OgEAAAAUI3Z58REAAAAwlqD13ZIzUwAAAMBOWMkGAACAXTjyCD97YyUbAAAAsLFCT7Lnz58vg8Gg999/P1edyWTSK6+8IoPBoK1btxZ2KAAAAHCgHJOzwy57K9QRf/rpJ3366acyGAx51i9atEhOTiXnnw0AAABQMhRakp2Zmalhw4Zp3Lhx8vT0zFWfmJioBQsWaPz48YUVAgAAAOAQhZZkjx07VuHh4WrRokWuumvXrunNN9/U6NGj5e3tXVghAAAAoAgxyslhl70Vyuki69ev188//6yVK1fmWR8bG6vAwEC1adOmMIYHAAAAHMrmSfavv/6q999/XwsWLFDZsmVz1W/btk27du3SmjVrbD00AAAAirCcEnSwnc2T7CNHjig9PV2dOnUyl+Xk5Gjv3r1atmyZunfvruTkZDVt2tTiuQEDBujhhx/WkiVLbB0SAAAAYFc2T7KbN2+udevWWZSNHDlStWvX1quvvqqKFSuqa9euFvXt2rXTyJEj1apVK1uHAwAAANidzZNsd3d31atXz6LMzc1NFSpUMJfn9bKjr6+vqlevbutwAAAAUEQ44rxqRyk5MwUAAADspFBOF/mrv9tnnZSUZI8wAAAA4EDGErS+W3JmCgAAANiJXVayAQAAgByT/T8K4yisZAMAAAA2RpINAAAA2BjbRQAAAGAXJemLjyVnpgAAAICd2Hwle+bMmZo1a5ZFWa1atbRx40ZJUs+ePbVnzx6L+q5du2rs2LG2DgUAAABFiLEEfYymULaL1K1bVwsXLjTflypVyqL++eef18CBA8339913X2GEAQAAADhEoSTZpUqVyvPT6X9ydXW9Yz0AAABQnBVKkn369GmFhoaqbNmyatKkid588035+vqa69etW6cvv/xS3t7eatWqlaKioljNBgAAuMeVpBcfbZ5kN2rUSLGxsapVq5bS0tI0e/Zs9ejRQ+vWrZO7u7ueeeYZ+fr6qnLlykpKStLkyZN18uTJXPu4AQAAgOLK5kl2eHi4+c/169dX48aN1apVK23YsEFdunRR165dzfUGg0He3t7q3bu3kpOTVaNGDVuHAwAAgCKCLz7aUPny5VWzZk0lJyfnWd+4cWNJf2wxAQAAAO4Fhf4xmszMTJ05c+a2LzomJiZKEi9CAgAA3OOM7MnOvw8++ECtWrWSr6+vUlNTNXPmTDk7O+uZZ55RcnKy1q1bp/DwcFWoUEFJSUmKjY1V06ZNVb9+fVuHAgAAADiEzZPs8+fPa8iQIbp06ZK8vLz00EMPacWKFfLy8tKNGze0c+dOLV68WFlZWapSpYoef/xxRUVF2ToMAAAAwGFsnmRPmzbttnVVqlTR0qVLbT0kAAAAioGcEvTFx5IzUwAAAMBOCv3FRwAAAECSjOIIPwAAAAD5xEo2AAAA7II92QAAAADyjSQbAAAAsLFCSbIvXLigoUOHKjg4WI0aNVK7du106NAhizb//e9/FRkZqYceekhNmjRR586dlZKSUhjhAAAAoAjIkbPDLnuz+Z7sy5cvq3v37goODtbHH3+sihUr6vTp0/L09DS3SU5O1gsvvKDOnTtr4MCBcnd317Fjx1S2bFlbhwMAAADYnc2T7I8//lg+Pj6KjY01l1WvXt2izbRp0xQWFqbhw4eby2rUqGHrUAAAAFCEGE0c4ZdvX3/9tQICAjRw4ECFhISoQ4cOWrFihbneaDRq+/btqlmzpiIiIhQSEqIuXbpo69attg4FAAAAcAibJ9lnzpxRfHy8atasqbi4OHXv3l3jxo3TmjVrJEnp6enKysrSxx9/rEceeUQLFixQ27Zt1b9/f+3Zs8fW4QAAAAB2Z/PtIiaTSQEBARoyZIgk6YEHHtCxY8f06aefqmPHjjIajZKkxx57TL1795YkNWjQQD/++KM+/fRTNWvWzNYhAQAAoAhwxAuIjmLzmXp7e8vf39+irHbt2uaTQypWrKjSpUvnauPv78/pIgAAALgn2HwlOygoSCdPnrQoO3XqlKpWrSpJcnFxUcOGDe/YBgAAAPceI198zL+XXnpJBw8e1Ny5c3X69GmtW7dOK1as0AsvvGBuExERoQ0bNmjFihU6ffq0li5dqm+++Ubdu3e3dTgAAACA3TmZTCaTrTv95ptvNHXqVJ06dUrVqlVTnz599Pzzz1u0WblypebPn6/z58+rVq1aGjBggNq0aXPXY7R17mLrsAEAAO4Jm1IOytnnqKPDyGVy4hMOG3tog012Ha9Qkmx7IMkGAADIG0l2bvZOskvOxhgAAADATmz+4iMAAACQF158BAAAAJBvrGQDAADALnLk5OgQ7IaVbAAAAMDGSLIBAAAAG7P5dpHWrVvr3LlzucpfeOEFRURE6LHHHsvzuenTp+upp56ydTgAAAAoIkrSi482T7JXrlypnJwc8/2xY8fUp08fPfnkk6pSpYp27Nhh0f6zzz5TXFycwsLCbB0KAAAA4BA2T7K9vLws7ufPn68aNWqoWbNmcnJykre3t0X91q1b9dRTT6lcuXK2DgUAAABFSE4JWsku1JlmZ2fryy+/VOfOneXklPtt0sOHDysxMVHPPfdcYYYBAAAA2FWhHuG3detWZWRkqGPHjnnWr1y5Uv7+/goKCirMMAAAAFAEGDnCzzZWrVqlsLAw/eMf/8hVd/36dSUkJLCKDQAAgHtOoSXZ586d0/fff3/bJHrjxo26fv26OnToUFghAAAAAA5RaNtFVq9erUqVKunRRx/Ns37VqlVq3bp1rhclAQAAcG/ixccCMhqNWr16tTp06KDSpXPn8adPn9bevXvZKgIAAIB7UqGsZH///fdKSUlR586d86xftWqVfHx8FBoaWhjDAwAAoAgymkrOi49OJpPJ5Ogg8qOtcxdHhwAAAFAkbUo5KGefo44OI5e3f+rksLHfb7TaruOVnI0xAAAAgJ0U6jnZAAAAwJ9yStD6bsmZKQAAAGAnJNkAAACwC6PJyWGXNS5cuKChQ4cqODhYjRo1Urt27XTo0CGr+mC7CAAAAPD/Xb58Wd27d1dwcLA+/vhjVaxYUadPn5anp6dV/ZBkAwAAwC6MxWATxccffywfHx/Fxsaay6pXr251PzafaU5OjqZPn67WrVurUaNGatOmjWbPnq3/PSkwMzNTY8eOVVhYmBo1aqSnn35a8fHxtg4FAAAAkCRlZ2fr6tWrFld2dnaudl9//bUCAgI0cOBAhYSEqEOHDlqxYoXV49l8Jfvjjz9WfHy8PvjgA9WpU0eHDx/WyJEj5eHhoV69ekmSJkyYoF27dmnSpEmqWrWqvvvuO8XExKhy5cp67LHHbB0SAAAASrh58+Zp1qxZFmX9+/fXgAEDLMrOnDmj+Ph49enTR5GRkTp06JDGjRunMmXKqGPHjnc9ns2T7P379+uxxx7To48+KkmqVq2a1q9fr59++smiTYcOHRQcHCxJ6tq1qz777DP99NNPJNkAAAD3qBwHfvGxb9++6tOnj0WZi4tLrnYmk0kBAQEaMmSIJOmBBx7QsWPH9Omnn1qVZNt8u0hgYKB27dqlkydPSpJ++eUX/fDDDwoLC7No8/XXX+vChQsymUzm9nxmHQAAAIXBxcVF7u7uFldeSba3t7f8/f0tymrXrq2UlBSrxrP5SvZrr72mq1ev6qmnnlKpUqWUk5OjwYMH69lnnzW3GTVqlEaNGqWwsDCVLl1aTk5OGjdunJo2bWrrcAAAAFBEWHuUniMEBQWZF4v/dOrUKVWtWtWqfmyeZG/YsEHr1q3TlClTVKdOHSUmJio2NlaVK1c2L7EvWbJEBw4c0EcffSRfX1/t27fPvCe7RYsWtg4JAAAAuCsvvfSSunfvrrlz5+qpp57STz/9pBUrVmjs2LFW9WPzJHvixIl67bXX9M9//lOSZDAYlJKSonnz5qljx466fv26pk2bplmzZpn3bdevX1+JiYmKi4sjyQYAALhHGU1F/wi/Ro0aadasWZo6dapmz56tatWq6a233rLYlXE3bJ5kX79+XU5Olv8UUKpUKfMRfrdu3dLNmzfv2AYAAABwlFatWqlVq1YF6sPmSXarVq00d+5c+fr6mreLLFy4UJ07d5Ykubu7q1mzZpo0aZJcXV3l6+urvXv3au3atRoxYoStwwEAAADszslk4+Xjq1ev6sMPP9TWrVuVnp6uypUr65///Kf69etnfoMzLS1NU6dO1Y4dO3T58mX5+vqqa9eu6t27d64V7ttp69zFlmEDAADcMzalHJSzz1FHh5FL1I8vOmzsOUFL7TqezZNseyHJBgAAyBtJdm72TrJtvl0EAAAAyEtxOMLPVor+K54AAABAMUOSDQAAANgY20UAAABgF8XhnGxbKTkzBQAAAOykUJLsq1ev6v3331erVq3UqFEjdevWTT/99JO5/uLFixoxYoRCQ0PVuHFjRURE6NSpU4URCgAAAIoIo5wcdtlboSTZ77zzjr7//ntNnDhR69atU8uWLdWnTx9duHBBJpNJ/fr105kzZzRnzhytWbNGVatWVZ8+fZSVlVUY4QAAAAB2ZfMk+/r169q8ebOGDRumpk2bys/PTwMGDJCfn5+WL1+uU6dO6cCBAxozZowaNWqk2rVra8yYMbp+/brWr19v63AAAABQROSYnBx22ZvNk+xbt24pJydHZcuWtSgvW7asfvzxR2VnZ5vvzUE4O8vFxUU//PCDrcMBAAAA7M7mSba7u7sCAwM1Z84cXbhwQTk5Ofriiy904MABpaamqnbt2vL19dWUKVN0+fJlZWdna/78+Tp//rzS0tJsHQ4AAABgd4WyJ3vixIkymUwKCwtTw4YNtWTJEv3zn/+Us7OzypQpo5kzZ+rUqVNq1qyZmjRpot27dyssLExOTiXnK0AAAAAljdHk7LDL3grlnOwaNWpo6dKlysrK0tWrV1W5cmUNGjRI1atXlyQFBAToiy++UEZGhm7evCkvLy916dJFAQEBhREOAAAAYFeFmta7ubmpcuXKunz5snbs2KHHHnvMot7Dw0NeXl46deqUDh8+nKseAAAA9w6jyclhl70Vykr2f/7zH5lMJtWqVUvJycmaOHGiateurU6dOkmSNmzYIC8vL/n6+iopKUnjx49XmzZtFBoaWhjhAAAAAHZVKEl2RkaGpk6dqvPnz6tChQp6/PHHNXjwYJUpU0aSlJaWpgkTJig9PV3e3t5q3769oqKiCiMUAAAAwO6cTCaTydFB5Edb5y6ODgEAAKBI2pRyUM4+Rx0dRi49dr/qsLGXBX9s1/Hs/6olAAAAcI8rlO0iAAAAwF854gVER2ElGwAAALAxVrIBAABgF474KIyjlJyZAgAAAHZCkg0AAADYmNVJ9t69exUZGanQ0FAZDAZt3brVon7z5s16+eWXFRwcLIPBoMTExFx93LhxQzExMQoODlZgYKAGDBigixcv5n8WAAAAKPJK0hcfrU6ys7KyZDAY9O677962PigoSEOHDr1tH+PHj9c333yj6dOna8mSJUpNTVX//v2tDQUAAAAokqx+8TE8PFzh4eG3re/QoYMk6ezZs3nWZ2RkaNWqVZo8ebJCQkIk/ZF0P/300zpw4ICaNGlibUgAAAAoBoziCL9Cc/jwYd28eVMtWrQwl/n7+8vX11cHDhywdzgAAACAzdn9CL+LFy+qTJkyKl++vEV5pUqVlJaWZu9wAAAAYCd8jAYAAABAvtk9yb7//vt18+ZNXblyxaI8PT1d3t7e9g4HAAAAsDm7J9kBAQEqU6aMdu7caS47ceKEUlJSeOkRAADgHlaSjvCzek92ZmamkpOTzfdnz55VYmKiPD095evrq0uXLunXX39VamqqJOnkyZOS/ljB9vb2loeHhzp37qwJEybI09NT7u7uGjdunAIDA0myAQAAcE+wOsk+fPiwevXqZb6PjY2VJHXs2FETJkzQ119/rZEjR5rrBw8eLEnq37+/BgwYIEl666235OzsrIEDByo7O1uhoaG3PXcbAAAA94aS9OKjk8lkMjk6iPxo69zF0SEAAAAUSZtSDsrZ56ijw8il3X8GOGzsdY/MtOt4nC4CAAAA2Jjdz8kGAABAyVSStouwkg0AAADYGCvZAAAAsAujWMkGAAAAkE+sZAMAAMAu2JN9B3v37lVkZKRCQ0NlMBi0detWc93Nmzc1adIktWvXTk2aNFFoaKiGDx+uCxcuWPTx0UcfqVu3bmrcuLEefvjhgs8CAAAAKEKsTrKzsrJkMBjy/HjM9evX9fPPP+v111/X6tWrNWvWLJ08eVKvv/66RbubN2/qySefVPfu3fMfOQAAAFBEWb1dJDw8XOHh4XnWeXh4aOHChRZlo0aNUpcuXZSSkiJfX19J0sCBAyVJq1evtnZ4AAAAFFNsF7Ghq1evysnJSeXLly/soQAAAIAioVBffLxx44YmT56sf/7zn3J3dy/MoQAAAFDEsZJtAzdv3tQbb7whk8mkmJiYwhoGAAAAKHIKZSX75s2bGjRokFJSUrRo0SJWsQEAAFCi2DzJ/jPBPn36tBYvXqyKFSvaeggAAAAUQyVpu4jVSXZmZqaSk5PN92fPnlViYqI8PT3l7e2tgQMH6ueff9a8efOUk5OjtLQ0SZKnp6dcXFwkSSkpKbp8+bJSUlKUk5OjxMRESVKNGjVUrlw5W8wLAAAAcBirk+zDhw+rV69e5vvY2FhJUseOHdW/f399/fXXkqT27dtbPLd48WIFBwdLkmbMmKE1a9aY6zp06JCrDQAAAO4tphK0ku1kMplMjg4iP9o6d3F0CAAAAEXSppSDcvY56ugwcnl021CHjb39scl2Ha9Qj/ADAAAA/mRUyVnJLvSP0QAAAAAlDUk2AAAAYGNsFwEAAIBdlKQj/FjJBgAAAGyMlWwAAADYRUk6ws/qley9e/cqMjJSoaGhMhgM2rp1q0X9zJkz9eSTT6pJkyZq2rSpevfurYMHD5rrz549q7feekutW7dWo0aN1KZNG82YMUPZ2dkFnw0AAABQBFi9kp2VlSWDwaDOnTurf//+uepr1qyp0aNHq3r16rp+/bo++eQTvfzyy9qyZYu8vLx04sQJmUwmjR07Vn5+fjp69KhGjRqla9euKTo62iaTAgAAABzJ6iQ7PDxc4eHht61v166dxf3IkSO1cuVKJSUlKSQkRGFhYQoLCzPXV69eXSdPnlR8fDxJNgAAwD2MFx9tJDs7W5999pk8PDxkMBhu2y4jI0Oenp6FGQoAAABgN4Xy4uM333yjIUOG6Nq1a/L29taCBQvk5eWVZ9vTp09r6dKlrGIDAADc43jxsYCCg4O1du1affrpp3rkkUc0aNAgpaen52p34cIFvfLKK3ryySf1/PPPF0YoAAAAgN0VSpLt5uYmPz8/NWnSROPHj1fp0qW1cuVKizYXLlxQr169FBgYqPfee68wwgAAAEARYjQ5OeyyN7t8jMZoNFoc0fdngv3ggw8qNjZWzs58EwcAAAD3Dqv3ZGdmZio5Odl8f/bsWSUmJsrT01MVKlTQ3Llz1bp1a3l7e+v333/XsmXLdOHCBT355JOS/kiwe/bsKV9fX0VHR+u3334z9+Xt7W2DKQEAAACOZXWSffjwYfXq1ct8HxsbK0nq2LGjYmJidOLECa1Zs0a///67KlSooIYNG2rZsmWqW7euJOm7777T6dOndfr0aYuj/CQpKSmpIHMBAABAEWYyOToC+3EymYrndNs6d3F0CAAAAEXSppSDcvY56ugwcmm64S2Hjb33qfF31W7mzJmaNWuWRVmtWrW0ceNGq8YrlCP8AAAAgL8yqngc4Ve3bl0tXLjQfF+qVCmr+yDJBgAAAP5HqVKlCvyuIEk2AAAA7MKRH6PJzs62OO1OklxcXOTi4pKr7enTpxUaGqqyZcuqSZMmevPNN+Xr62vVeOzJBgAAuMcU1T3ZQV+947Cx+/z3H7n2Wvfv318DBgywKPv222+VlZWlWrVqKS0tTbNnz9aFCxe0bt06ubu73/V4rGQDAADgnte3b1/16dPHoiyvVezw8HDzn+vXr6/GjRurVatW2rBhg7p0uftFXpJsAAAA2IUjvrz4p9ttDfk75cuXV82aNS2+E3M3rP7U4t69exUZGanQ0FAZDAZt3br1tm1Hjx4tg8GgTz75xKI8MjJSjz76qBo2bKjQ0FANGzZMFy5csDYUAAAAoFBlZmbqzJkzVr8IaXWSnZWVJYPBoHffffeO7bZs2aKDBw+qcuXKueqaN2+u6dOna+PGjZoxY4bOnDmjN954w9pQAAAAUIyYTI677tYHH3ygPXv26OzZs/rxxx/Vv39/OTs765lnnrFqrlZvFwkPD7fYq5KXCxcu6L333lNcXJz69u2bq753797mP1etWlWvvvqq+vXrp5s3b6pMmTLWhgQAAADYxPnz5zVkyBBdunRJXl5eeuihh7RixQp5eXlZ1Y/N92QbjUYNGzZMERER5k+p38mlS5e0bt06BQYGkmADAADAoaZNm2aTfmyeZH/88ccqXbq0evXqdcd2kyZN0rJly3Tt2jU1adJEc+fOtXUoAAAAKEIceU62vVm9J/tODh8+rMWLFys2NlZOTnf+IUZERGjNmjVasGCBnJ2dFR0drWJ6ZDcAAABgwaYr2fv27VN6erpatWplLsvJydEHH3ygxYsX6+uvvzaXe3l5ycvLS7Vq1ZK/v7/Cw8N14MABBQYG2jIkAAAAFBElaSXbpkl2+/bt1aJFC4uyiIgItW/fXp06dbrtc0ajUZJyfeoSAAAAKI6sTrIzMzMtDuM+e/asEhMT5enpKV9fX1WsWNGifZkyZXT//ferdu3akqSDBw/q0KFDeuihh1S+fHklJyfrww8/VI0aNVjFBgAAuIc58mM09mZ1kn348GGLlxpjY2MlSR07dtSECRP+9nlXV1dt3rxZM2fOVFZWlry9vfXII48oKioqX1/hAQAAAIoaJ1MxfduwrfPdfzseAACgJNmUclDOPkcdHUYuD34xxmFjH2lv37FtfoQfAAAAkJfiubSbPzY9wg8AAAAAK9kAAACwk5J0hB8r2QAAAICNkWQDAAAANmZ1kr13715FRkYqNDRUBoNBW7dutagfMWKEDAaDxRUREZFnX9nZ2Wrfvr0MBoMSExPzNwMAAAAUCyaTk8Mue7N6T3ZWVpYMBoM6d+6s/v3759nmkUceMZ+fLem2519PnDhRlStX1i+//GJtGAAAAECRZXWSHR4ervDw8Du2cXFxkbe39x3bfPvtt/ruu+80c+ZM/fvf/7Y2DAAAABQzJegEv8I5XWTPnj0KCQlR+fLl1bx5cw0aNMjic+sXL17UqFGjNHv2bLm6uhZGCAAAAIDD2DzJfuSRR9S2bVtVq1ZNZ86c0dSpU/Xqq6/qs88+U6lSpWQymTRixAh169ZNDRs21NmzZ20dAgAAAIqgknSEn82T7H/+85/mP//54mObNm3Mq9tLlixRZmam+vbta+uhAQAAgCKh0I/wq169uipWrKjTp09Lknbt2qUDBw6oYcOGeuCBB/T4449Lkjp37qzo6OjCDgcAAAAodIX+xcfz58/r0qVL5hch33nnHQ0aNMhcn5qaqoiICE2bNk2NGzcu7HAAAADgKCXozUerk+zMzEwlJyeb78+ePavExER5enrK09NTs2bN0hNPPKH7779fZ86c0aRJk+Tn56dHHnlEkuTr62vRn5ubmySpRo0a8vHxKchcAAAAgCLB6iT78OHD6tWrl/n+z/OwO3bsqDFjxujo0aNau3atMjIyVLlyZbVs2VJvvPHGbc/KBgAAQMnAi493EBwcrKSkpNvWx8XFWdVftWrV7tgfAAAAUNwU+ouPAAAAQElT6C8+AgAAAJJkKkEvPrKSDQAAANgYK9kAAACwi5L04iMr2QAAAICNsZINAAAA+2Al+/b27t2ryMhIhYaGymAwaOvWrbna/Pe//1VkZKQeeughNWnSRJ07d1ZKSoq5vmfPnjIYDBbX6NGjCzYTAAAAoIiweiU7KytLBoNBnTt3Vv/+/XPVJycn64UXXlDnzp01cOBAubu769ixYypbtqxFu+eff14DBw4039933335CB8AAAAoeqxOssPDwxUeHn7b+mnTpiksLEzDhw83l9WoUSNXO1dXV3l7e1s7PAAAAIopjvDLJ6PRqO3bt6tmzZqKiIhQSEiIunTpkueWknXr1ik4OFjPPPOMpkyZomvXrtkyFAAAAMBhbPriY3p6urKysvTxxx9r0KBBGjp0qP7zn/+of//+Wrx4sZo1ayZJeuaZZ+Tr66vKlSsrKSlJkydP1smTJzVr1ixbhgMAAICipAStZNs0yTYajZKkxx57TL1795YkNWjQQD/++KM+/fRTc5LdtWtX8zMGg0He3t7q3bu3kpOT89xaAgAAABQnNt0uUrFiRZUuXVr+/v4W5f7+/hani/xV48aNJUmnT5+2ZTgAAAAoQkwmJ4dd9mbTJNvFxUUNGzbUyZMnLcpPnTqlqlWr3va5xMRESeJFSAAAANwTrN4ukpmZqeTkZPP92bNnlZiYKE9PT/n6+ioiIkKDBw9W06ZNFRwcrP/85z/65ptvtHjxYkl/HPG3bt06hYeHq0KFCkpKSlJsbKyaNm2q+vXr225mAAAAgINYnWQfPnxYvXr1Mt/HxsZKkjp27KgJEyaobdu2GjNmjObPn69x48apVq1amjFjhh5++GFJUpkyZbRz504tXrxYWVlZqlKlih5//HFFRUXZaEoAAAAokkrQi49OJlPxPLGwrXMXR4cAAABQJG1KOShnn6OODiOXWktjHTb2yRdH2nU8m54uAgAAANyOI15AdBSbvvgIAAAAgCQbAAAAsDm2iwAAAMA+iuWbgPnDSjYAAABgY6xkAwAAwE548fG29u7dq8jISIWGhspgMGjr1q0W9QaDIc/rX//6l0W77du3q0uXLmrUqJGaNm3KOdkAAAC4Z1i9kp2VlSWDwaDOnTurf//+uep37Nhhcf/vf/9bb7/9tp544glz2aZNmzRq1CgNHjxYzZs3V05Ojo4eLXpnOQIAAMCGStCebKuT7PDwcIWHh9+23tvb2+J+27ZtCg4OVvXq1SVJt27d0vvvv69hw4apS5f/+6BMnTp1rA0FAAAAKJIK9cXHixcv6ttvv9Vzzz1nLvv555914cIFOTs7q0OHDgoNDdUrr7zCSjYAAADuGYWaZK9Zs0blypXT448/bi47c+aMJGnWrFl6/fXXNXfuXHl6eqpnz566dOlSYYYDAAAARzI58LKzQk2yV61apXbt2qls2bLmMqPRKEmKjIzUE088oYCAAMXGxsrJyUkbN24szHAAAAAAuyi0JHvfvn06efKkxb5r6f/2bPv7+5vLXFxcVL16df3666+FFQ4AAAAczeTkuMvOCi3JXrlypR588EHVr1/fojwgIEAuLi46efKkuezmzZs6d+6cfH19CyscAAAAwG6sPl0kMzNTycnJ5vuzZ88qMTFRnp6e5iT56tWr2rhxo6Kjo3M97+7urm7dumnmzJmqUqWKfH19FRcXJ0l68skn8zsPAAAAoMiwOsk+fPiwevXqZb6PjY2VJHXs2FETJkyQJK1fv14mk0nPPPNMnn0MHz5cpUuX1vDhw3X9+nU1btxYixYtkqenZ37mAAAAgGLAVILOyXYymYrndNs6d/n7RgAAACXQppSDcvYpescj+y2Y6LCxT7883K7jWb2SDQAAAORLsVzazZ9CPcIPAAAAKIlYyQYAAIB9OOAoPUdhJRsAAACwMZJsAAAAwMbYLgIAAAC7cOLFx9vbu3evIiMjFRoaKoPBoK1bt1rUZ2ZmauzYsQoLC1OjRo309NNPKz4+3lx/9uxZGQyGPK8NGzYUfEYAAACAg1m9kp2VlSWDwaDOnTurf//+ueonTJigXbt2adKkSapataq+++47xcTEqHLlynrsscdUpUoV7dixw+KZzz77THFxcQoLC8v/TAAAAFC0laCVbKuT7PDwcIWHh9+2fv/+/erQoYOCg4MlSV27dtVnn32mn376SY899phKlSolb29vi2e2bt2qp556SuXKlbM2HAAAAKDIsfmLj4GBgfr666914cIFmUwm7dq1SydPnlRoaGie7Q8fPqzExEQ999xztg4FAAAAcAibv/g4atQojRo1SmFhYSpdurScnJw0btw4NW3aNM/2K1eulL+/v4KCgmwdCgAAAIqSEnROts2T7CVLlujAgQP66KOP5Ovrq3379pn3ZLdo0cKi7fXr15WQkKCoqChbhwEAAAA4jE23i1y/fl3Tpk3TyJEj1bp1a9WvX18vvviinn76acXFxeVqv3HjRl2/fl0dOnSwZRgAAAAoikwOvPJp/vz5MhgMev/99616zqZJ9q1bt3Tz5k05OVn+U0CpUqVkMuWe3apVq9S6dWt5eXnZMgwAAACgwH766Sd9+umnMhgMVj9rdZKdmZmpxMREJSYmSvrj3OvExESlpKTI3d1dzZo106RJk7R7926dOXNGq1ev1tq1a9WmTRuLfk6fPq29e/fywiMAAEBJUYxWsjMzMzVs2DCNGzdOnp6eVj9v9Z7sw4cPq1evXub72NhYSVLHjh01YcIETZ06VVOnTtXQoUN1+fJl+fr6avDgwerevbtFP6tWrZKPj89tTx0BAAAAbCU7O1vZ2dkWZS4uLnJxccmz/dixYxUeHq4WLVroo48+sno8q5Ps4OBgJSUl3bbe29vbnHjfyZAhQzRkyBBrhwcAAACsNm/ePM2aNcuirH///howYECutuvXr9fPP/+slStX5ns8m58uAgAAAOTJgV987Nu3r/r06WNRltcq9q+//qr3339fCxYsUNmyZfM9Hkk2AAAA7nl32hryv44cOaL09HR16tTJXJaTk6O9e/dq2bJlOnTokEqVKvW3/ZBkAwAAwD6KwcdomjdvrnXr1lmUjRw5UrVr19arr756Vwm2RJINAAAAmLm7u6tevXoWZW5ubqpQoUKu8jshyQYAAIBdODlwT7a9kWQDAAAAd7BkyRKrn7H6YzR79+5VZGSkQkNDZTAYtHXrVov6ixcvasSIEQoNDVXjxo0VERGhU6dOWbRJS0vTsGHD1LJlSzVp0kQdO3bUpk2brA4eAAAAKIqsTrKzsrJkMBj07rvv5qozmUzq16+fzpw5ozlz5mjNmjWqWrWq+vTpo6ysLHO76OhonTx5Uh999JHWrVuntm3batCgQfr5558LNhsAAAAUXcXoi48FZXWSHR4ersGDB6tt27a56k6dOqUDBw5ozJgxatSokWrXrq0xY8bo+vXrWr9+vbnd/v379eKLL6pRo0aqXr26oqKiVL58eR05cqRgswEAAACKAKuT7Dv581OV/3twt7Ozs1xcXPTDDz+YywIDA7VhwwZdunRJRqNR69ev140bN9SsWTNbhgMAAAA4hE2T7Nq1a8vX11dTpkzR5cuXlZ2drfnz5+v8+fNKS0szt5s+fbpu3bql4OBgNWzYUKNHj9asWbPk5+dny3AAAAAAh7Bpkl2mTBnNnDlTp06dUrNmzdSkSRPt3r1bYWFhcnL6v8PHP/zwQ125ckWffPKJVq1apT59+mjQoEFKSkqyZTgAAACAQ9j8CL+AgAB98cUXysjI0M2bN+Xl5aUuXbooICBAkpScnKylS5cqISFBdevWlSTVr19f+/bt07JlyzR27FhbhwQAAIAioCSdk23Tlez/5eHhIS8vL506dUqHDx/WY489Jkm6du3aHwM7Ww5dqlQpmUwl6CcPAACAe5bVK9mZmZlKTk423589e1aJiYny9PSUr6+vNmzYIC8vL/n6+iopKUnjx49XmzZtFBoaKumPfdt+fn4aPXq0oqOjVaFCBW3dulXfffed5s2bZ7uZAQAAoGgxOf19m3uE1Un24cOH1atXL/N9bGysJKljx46aMGGC0tLSNGHCBKWnp8vb21vt27dXVFSUuX2ZMmU0f/58TZkyRZGRkcrKylKNGjU0YcIEhYeH22BKAAAAgGM5mYrpHo22zl0cHQIAAECRtCnloJx9jjo6jFxqT5/qsLFPDBpi1/EKbU82AAAAUFKRZAMAAAA2ZvMj/AAAAIA8FctNyvnDSjYAAABgY6xkAwAAwC74GA0AAACAfLMqyZ43b546d+6swMBAhYSEKCoqSidOnLBoc+PGDcXExCg4OFiBgYEaMGCALl68aNFm586d6tatmwIDA9WyZUtNmjRJt27dKvhsAAAAgCLAqiR7z5496tGjh1asWKGFCxfq1q1bioiIUFZWlrnN+PHj9c0332j69OlasmSJUlNT1b9/f3P9L7/8oldffVWhoaFau3atpk2bpq+//lpTpkyx3awAAABQ9JgceNmZVUl2XFycOnXqpLp166p+/fqaMGGCUlJSdOTIEUlSRkaGVq1apREjRigkJEQBAQEaP3689u/frwMHDkiSvvrqKxkMBvXv319+fn5q1qyZhg0bpmXLlunq1as2nyAAAABgbwXak52RkSFJ8vT0lPTHJ9dv3rypFi1amNv4+/vL19fXnGRnZ2erbNmyFv24urrqxo0b5mQdAAAA9yBWsv+e0WjU+PHjFRQUpHr16kmSLl68qDJlyqh8+fIWbStVqqS0tDRJUmhoqPbv36+EhATl5OTowoULmj17tiSZ2wAAAADFWb6T7JiYGB07dkzTpk2z6rnQ0FANHz5c7777rho2bKgnnnhC4eHhfwTjzGEnAAAA9yonk+Mue8tXVjt27Fht375dixYtko+Pj7n8/vvv182bN3XlyhWL9unp6fL29jbf9+nTR/v27dM333yjXbt26bHHHpMkVatWLT/hAAAAAEWKVUm2yWTS2LFjtWXLFi1atEjVq1e3qA8ICFCZMmW0c+dOc9mJEyeUkpKiJk2aWLR1cnLSP/7xD7m6uiohIUFVqlTRgw8+mP+ZAAAAAEWEVV98jImJUUJCgubMmaNy5cqZ91B7eHjI1dVVHh4e6ty5syZMmCBPT0+5u7tr3LhxCgwMtEiy//Wvf+mRRx6Rs7OzNm/erI8//ljTp09XqVKlbDo5AAAAFCEmJ0dHYDdWJdnx8fGSpJ49e1qUx8bGqlOnTpKkt956S87Ozho4cKCys7MVGhqqd99916L9v//9b82dO1fZ2dmqX7++Zs+ebd6XDQAAABR3TiaTqVh+Rb6tcxdHhwAAAFAkbUo5KGefo44OI5c6H1h3YIYtHY8ebNfxOM4DAAAAsDGrtosAAAAA+eWIo/QchZVsAAAAwMZIsgEAAAAbY7sIAAAA7IPtInmbN2+eOnfurMDAQIWEhCgqKkonTpww11+6dEnvvfeennjiCTVq1EiPPvqoxo0bp4yMDIt+UlJS9Nprr6lx48YKCQnRBx98oFu3btlmRgAAAICDWbWSvWfPHvXo0UMNGzZUTk6Opk6dqoiICK1fv15ubm5KTU1VamqqoqOjVadOHZ07d05jxoxRamqqZsyYIUnKyclR3759df/99+vTTz81ty9TpoyGDBlSKJMEAACA45WkFx8LdE72b7/9ppCQEC1dulRNmzbNs82GDRs0bNgwHThwQKVLl9a3336ryMhI/ec//9H9998v6Y+P3EyePFk7d+6Ui4vLXY3NOdkAAAB5K6rnZNcb77hzso++VYzOyf5zG4inp+dt21y9elXu7u4qXfqPRfMDBw6oXr165gRbkkJDQ3X16lUdP368IOEAAAAARUK+X3w0Go0aP368goKCVK9evTzb/Pbbb5ozZ466du1qLrt48aJFgi3JfJ+WlpbfcAAAAFDUlaDtIvlOsmNiYnTs2DEtX748z/qrV6+qb9++8vf3V//+/fMdIAAAAFDc5Gu7yNixY7V9+3YtWrRIPj4+ueqvXr2qV155ReXKldPs2bNVpkwZc93999+vixcvWrT/897b2zs/4QAAAKA4MDnwsjOrkmyTyaSxY8dqy5YtWrRokapXr56rzdWrVxUREaEyZcroo48+UtmyZS3qmzRpoqNHjyo9Pd1c9v3338vd3V116tTJ5zQAAACAosOq7SIxMTFKSEjQnDlzVK5cOfMeag8PD7m6uurq1at6+eWXde3aNU2aNElXr17V1atXJUleXl4qVaqUQkNDVadOHQ0fPlzDhg1TWlqapk+frh49etz1ySIAAAAofkrSEX5WJdnx8fGSpJ49e1qUx8bGqlOnTjpy5IgOHjwoSWrbtq1Fm23btqlatWoqVaqU5s6dqzFjxqhr166677771LFjRw0cOLAg8wAAAACKDKuS7KSkpDvWBwcH/20bSapatao+/vhja4YGAAAAio0CnZMNAAAAIDeSbAAAAMDG8n1ONgAAAGCVEvTiIyvZAAAAgI2RZAMAAAA2xnYRAAAA2AXnZN/GvHnztHnzZp04cUKurq4KDAzU0KFDVbt2bXOb0aNH6/vvv1dqaqrc3NzMbfz9/c1txo0bpx9//FFHjx6Vv7+/vvjiC9vNCAAAAHAwq7aL7NmzRz169NCKFSu0cOFC3bp1SxEREcrKyjK3efDBBxUbG6uvvvpKcXFxMplMioiIUE5OjkVfnTt31tNPP22bWQAAAKDoMznwsjOrVrLj4uIs7idMmKCQkBAdOXJETZs2lSR17drVXF+tWjUNGjRI7du317lz51SjRg1J0jvvvCNJ+u233+7q4zUAAABAcVKgPdkZGRmSJE9Pzzzrs7KytHr1alWrVk0+Pj4FGQoAAADFHXuy/57RaNT48eMVFBSkevXqWdQtW7ZMkydPVlZWlmrVqqWFCxfKxcWlwMECAAAAxUG+j/CLiYnRsWPHNG3atFx1zz77rNasWaOlS5eqZs2aGjRokG7cuFGgQAEAAIDiIl8r2WPHjtX27du1dOnSPLeBeHh4yMPDQzVr1lTjxo3VrFkzbdmyRc8880yBAwYAAEDxxBF+t2EymfTee+9py5YtWrJkiapXr37Xz2VnZ+crQAAAAKC4sSrJjomJUUJCgubMmaNy5copLS1N0h8r166urjpz5oy++uortWzZUl5eXjp//rzmz58vV1dXhYeHm/s5ffq0srKylJaWpuvXrysxMVGS5O/vz95tAACAexUr2XmLj4+XJPXs2dOiPDY2Vp06dZKLi4v27dunRYsW6cqVK6pUqZIefvhhxcfHq1KlSub277zzjvbs2WO+79ChgyRp27ZtqlatWn7nAgAAABQJViXZf3em9T/+8Q99/PHHf9vPkiVLrBkWAAAAKFYKdE42AAAAcLdK0ouP+T7CDwAAAEDeWMkGAACAfbCSDQAAACC/WMkGAACAfbCSDQAAACC/rEqy582bp86dOyswMFAhISGKiorSiRMn8mxrMpn0yiuvyGAwaOvWrebyX375RUOGDFF4eLgaNWqkp556SosWLSrYLAAAAIAixKrtInv27FGPHj3UsGFD5eTkaOrUqYqIiND69evl5uZm0XbRokVycnLK1cfhw4fl5eWlSZMmqUqVKvrxxx81evRolSpVSi+++GLBZgMAAIAiqyQd4WdVkh0XF2dxP2HCBIWEhOjIkSNq2rSpuTwxMVELFizQqlWrFBoaavHMc889Z3FfvXp1HThwQJs3bybJBgAAgEMtX75c8fHxOnfunCSpbt26ioqKUnh4uFX9FOjFx4yMDEmSp6enuezatWt68803NXr0aHl7e991PxUqVChIKAAAACjqisFKto+Pj4YOHSo/Pz+ZTCatXbtW/fr105o1a1S3bt277iffLz4ajUaNHz9eQUFBqlevnrk8NjZWgYGBatOmzV318+OPP2rDhg16/vnn8xsKAAAAYBOtW7dWeHi4atasqVq1amnw4MFyc3PTgQMHrOon3yvZMTExOnbsmJYvX24u27Ztm3bt2qU1a9bcVR9Hjx5VVFSU+vXrl2tbCQAAAO4xDlzJzs7OVnZ2tkWZi4uLXFxcbvtMTk6ONm7cqKysLAUGBlo1Xr6S7LFjx2r79u1aunSpfHx8zOW7du1ScnKyxf5sSRowYIAefvhhLVmyxFx2/Phx9e7dW127dlVUVFR+wgAAAADuyrx58zRr1iyLsv79+2vAgAG52iYlJalbt266ceOG3NzcNHv2bNWpU8eq8ZxMJtNd/05hMpn03nvvacuWLVqyZIlq1qxpUZ+Wlqbff//doqxdu3Z6++231apVK1WvXl2SdOzYMb300kvq0KGDhg8fblXAf2rr3CVfzwEAANzrNqUclLPPUUeHkcuD0dMcNvb+9/rd9Up2dna2fv31V2VkZGjTpk36/PPPtXTpUqsSbatWsmNiYpSQkKA5c+aoXLlySktLkyR5eHjI1dVV3t7eeb7s6Ovra06wjx49qpdeekmhoaHq06ePuY9SpUrJy8vLmnAAAABQjDjyCL+/2xry17Z+fn6SpICAAB06dEiLFy/W2LFj73o8q5Ls+Ph4SVLPnj0tymNjY9WpU6e76mPTpk367bff9OWXX+rLL780l1etWlVff/21NeEAAAAAhc5oNOZaBf87ViXZSUlJVnWe1zMDBgzIc+8LAAAA7nHF4Ai/KVOmKCwsTFWqVFFmZqYSEhK0Z8+eXN+L+TsFOicbAAAAuJekp6crOjpaqamp8vDwkMFgUFxcnFq2bGlVPyTZAAAAwP83fvx4m/RDkg0AAAC7cOSLj/aW7y8+AgAAAMgbK9kAAACwD1ayAQAAAOSXVSvZ8+bN0+bNm3XixAm5uroqMDBQQ4cOVe3atc1tevbsqT179lg817VrV/Ph3b///ruGDh2qpKQkXbp0SZUqVdJjjz2mIUOGyN3d3QZTAgAAQJFUglayrUqy9+zZox49eqhhw4bKycnR1KlTFRERofXr18vNzc3c7vnnn9fAgQPN9/fdd5/5z87Oznrsscc0aNAgeXl5KTk5WTExMbp8+bKmTJligykBAAAAjmVVkv3XQ7gnTJigkJAQHTlyRE2bNjWX//mJ9bx4enrqhRdeMN9XrVpVL7zwgtUHfAMAAABFVYH2ZGdkZEj6I3H+X+vWrVNwcLCeeeYZTZkyRdeuXbttHxcuXNCWLVssknQAAADce5wceNlbvk8XMRqNGj9+vIKCglSvXj1z+TPPPCNfX19VrlxZSUlJmjx5sk6ePKlZs2ZZPD9kyBBt27ZN169fV6tWrfT+++/nfxYAAABAEZLvJDsmJkbHjh3T8uXLLcq7du1q/rPBYJC3t7d69+6t5ORk1ahRw1w3cuRI9evXT6dOndLUqVMVGxurMWPG5DccAAAAFHW8+HhnY8eO1fbt27V06VL5+PjcsW3jxo0lSadPn7ZIsr29veXt7S1/f395enqqR48eioqKUuXKlfMTEgAAAFBkWJVkm0wmvffee9qyZYuWLFmi6tWr/+0ziYmJknTbFyH/7FeSsrOzrQkHAAAAKJKsSrJjYmKUkJCgOXPmqFy5ckpLS5MkeXh4yNXVVcnJyVq3bp3Cw8NVoUIFJSUlKTY2Vk2bNlX9+vUlSd9++60uXryohg0bys3NTcePH9fEiRMVFBSkatWq2X6GAAAAKBKc2C6St/j4eEl/fHDmf8XGxqpTp04qU6aMdu7cqcWLFysrK0tVqlTR448/rqioKHPbsmXL6vPPP1dsbKyys7NVpUoVtW3bVq+99poNpgMAAAA4nlVJdlJS0h3rq1SpoqVLl96xTfPmzfXpp59aMywAAADuBSVoJbtA52QDAAAAyC3fR/gBAAAAVmElGwAAAEB+kWQDAAAANsZ2EQAAANhFSTrCj5VsAAAAwMasSrLnzZunzp07KzAwUCEhIYqKitKJEydytdu/f7969eqlJk2aKCgoSD169ND169dztcvOzlb79u1lMBjMX4YEAADAPcrkwMvOrEqy9+zZox49emjFihVauHChbt26pYiICGVlZZnb7N+/X6+88opCQ0P1+eefa+XKlerRo4ecnXMPNXHiRFWuXLngswAAAACKEKv2ZMfFxVncT5gwQSEhITpy5IiaNm0q6Y+vP/bs2dPiC461a9fO1de3336r7777TjNnztS///3v/MQOAAAAFEkF2pOdkZEhSfL09JQkpaen6+DBg6pUqZK6deumFi1a6MUXX9S+ffssnrt48aJGjRqliRMnytXVtSAhAAAAoJhwMjnusrd8J9lGo1Hjx49XUFCQ6tWrJ0k6c+aMJGnWrFnq0qWL/vWvf+mBBx5Q7969derUKUmSyWTSiBEj1K1bNzVs2LDgMwAAAACKmHwf4RcTE6Njx45p+fLl5jKj0ShJ6tq1qzp37ixJeuCBB7Rz506tWrVKb775ppYsWaLMzEz17du3gKEDAACgWClBR/jlK8keO3astm/frqVLl8rHx8dc7u3tLUny9/e3aO/v76+UlBRJ0q5du3TgwIFcq9idO3dWu3bt9MEHH+QnJAAAAKDIsCrJNplMeu+997RlyxYtWbJE1atXt6ivVq2aKleurJMnT1qUnzp1SmFhYZKkd955R4MGDTLXpaamKiIiQtOmTVPjxo3zOQ0AAAAUdSXpYzRWJdkxMTFKSEjQnDlzVK5cOaWlpUmSPDw85OrqKicnJ0VERGjmzJmqX7++GjRooDVr1ujEiROaMWOGJMnX19eiTzc3N0lSjRo1LFbFAQAAgOLKqiQ7Pj5ektSzZ0+L8tjYWHXq1EmS1Lt3b2VnZys2NlaXL19W/fr1tWDBAtWoUcNGIQMAAABFm5PJZCqWC/dtnbs4OgQAAIAiaVPKQTn7HHV0GLkERU5z2Ng/zh1s1/EKdE42AAAAgNzyfYQfAAAAYJViuX8if1jJBgAAAGyMlWwAAADYRUk6wo+VbAAAAMDGrFrJnjdvnjZv3qwTJ07I1dVVgYGBGjp0qGrXri1JOnv2rB577LE8n50+fbqeeuopSZLBYMhVP3XqVP3zn/+0Nn4AAACgyLEqyd6zZ4969Oihhg0bKicnR1OnTlVERITWr18vNzc3ValSRTt27LB45rPPPlNcXJz5i49/io2N1SOPPGK+L1++fAGmAQAAgCKvBG0XsSrJjouLs7ifMGGCQkJCdOTIETVt2lSlSpWSt7e3RZutW7fqqaeeUrly5SzKy5cvn6stAAAAcC8o0J7sjIwMSZKnp2ee9YcPH1ZiYqKee+65XHUxMTEKDg7Wc889p5UrV6qYfhMHAAAAd8nJZHLYZW/5Pl3EaDRq/PjxCgoKUr169fJss3LlSvn7+ysoKMiifODAgWrevLnuu+8+7dixQzExMcrKylKvXr3yGw4AAABQZOQ7yY6JidGxY8e0fPnyPOuvX7+uhIQERUVF5arr16+f+c8PPPCArl27pri4OJJsAAAA3BPytV1k7Nix2r59uxYtWiQfH58822zcuFHXr19Xhw4d/ra/xo0b6/z588rOzs5POAAAACgOTA687MyqlWyTyaT33ntPW7Zs0ZIlS1S9evXbtl21apVat24tLy+vv+03MTFRnp6ecnFxsSYcAAAAoEiyKsmOiYlRQkKC5syZo3LlyiktLU2S5OHhIVdXV3O706dPa+/evZo/f36uPr7++mulp6ercePGKlu2rL777jvNmzdPL7/8cgGnAgAAgKKsJH3x0aokOz4+XpLUs2dPi/LY2Fh16tTJfL9q1Sr5+PgoNDQ094ClS2vZsmUaP368JKlGjRoaMWKEnn/+eauDBwAAAIoiJ1MxPTuvrXMXR4cAAABQJG1KOShnn6OODiOXpn2mOmzsvQuH2HW8Ap2TDQAAACA3kmwAAADAxvJ9TjYAAABgjZL04iMr2QAAAICNsZINAAAA+2AlGwAAAEB+WZVkz5s3T507d1ZgYKBCQkIUFRWlEydOWLRJS0vTsGHD1LJlSzVp0kQdO3bUpk2bcvW1fft2denSRY0aNVLTpk0VFRVVsJkAAAAARYRV20X27NmjHj16qGHDhsrJydHUqVMVERGh9evXy83NTZIUHR2tK1eu6KOPPlLFihW1bt06DRo0SKtWrdIDDzwgSdq0aZNGjRqlwYMHq3nz5srJydHRo0XvLEcAAADYTkl68dGqJDsuLs7ifsKECQoJCdGRI0fUtGlTSdL+/fv17rvvqlGjRpKkqKgoLVq0SEeOHNEDDzygW7du6f3339ewYcPUpcv/fVCmTp06BZ0LAAAAUCQUaE92RkaGJMnT09NcFhgYqA0bNujSpUsyGo1av369bty4oWbNmkmSfv75Z124cEHOzs7q0KGDQkND9corr7CSDQAAcK8zOfCys3wn2UajUePHj1dQUJDq1atnLp8+fbpu3bql4OBgNWzYUKNHj9asWbPk5+cnSTpz5owkadasWXr99dc1d+5ceXp6qmfPnrp06VLBZgMAAAAUAflOsmNiYnTs2DFNmzbNovzDDz/UlStX9Mknn2jVqlXq06ePBg0apKSkJEl/JOeSFBkZqSeeeEIBAQGKjY2Vk5OTNm7cWICpAAAAoChzMjnusrd8nZM9duxYbd++XUuXLpWPj4+5PDk5WUuXLlVCQoLq1q0rSapfv7727dunZcuWaezYsfL29pYk+fv7m59zcXFR9erV9euvvxZkLgAAAECRYNVKtslk0tixY7VlyxYtWrRI1atXt6i/du3aH506W3ZbqlQpmUx//AoREBAgFxcXnTx50lx/8+ZNnTt3Tr6+vvmaBAAAAFCUWLWSHRMTo4SEBM2ZM0flypVTWlqaJMnDw0Ourq6qXbu2/Pz8NHr0aEVHR6tChQraunWrvvvuO82bN0+S5O7urm7dumnmzJmqUqWKfH19zaeWPPnkkzaeHgAAAIoMU8k5w8+qJDs+Pl6S1LNnT4vy2NhYderUSWXKlNH8+fM1ZcoURUZGKisrSzVq1NCECRMUHh5ubj98+HCVLl1aw4cP1/Xr19W4cWMtWrTI4pQSAAAAoLhyMpmK568UbZ27/H0jAACAEmhTykE5+xS945FDXpjisLF3Ln/TruMV6JxsAAAAALnl63QRAAAAwGrFcv9E/rCSDQAAANgYSTYAAABgY2wXAQAAgF04GR0dwd+bN2+eNm/erBMnTsjV1VWBgYEaOnSoateubVU/rGQDAAAA/9+ePXvUo0cPrVixQgsXLtStW7cUERGhrKwsq/qxaiX7bjL75ORkffDBB/rhhx+UnZ2tRx55RKNGjdL9998vSdq9e7d69eqVZ/+ff/65GjVqZNUEAAAAUEwUgxcf//xI4p8mTJigkJAQHTlyRE2bNr3rfqxayf67zD4rK0svv/yynJyctGjRIsXHx+vmzZuKjIyU0fjHvw8EBgZqx44dFleXLl1UrVo1NWzY0JpwAAAAgLuSnZ2tq1evWlzZ2dl/+1xGRoYkWf3RRKtWsv8us//xxx917tw5rV27Vu7u7pKkDz74QE2bNtWuXbvUokULubi4yNvb29zHzZs3tW3bNr344otycnKyKngAAADgbsybN0+zZs2yKOvfv78GDBhw22eMRqPGjx+voKAg1atXz6rxCvTi418z++zsbDk5OcnFxcXcpmzZsnJ2dtYPP/ygFi1a5Orj66+/1qVLl9S5c+eChAIAAIAizsmB20X69u2rPn36WJT9b86al5iYGB07dkzLly+3erx8v/iYV2bfpEkT3XfffZo0aZKuXbumrKwsffDBB8rJyVFaWlqe/axcuVKhoaHy8fHJbygAAADAHbm4uMjd3d3iulOSPXbsWG3fvl2LFi3KV56a7yT7z8x+2rRp5jIvLy99+OGH+uabbxQYGKiHH35YV65c0YMPPpjnVpDz589rx44deu655/IbBgAAAIoLk8lx112HaNLYsWO1ZcsWLVq0SNWrV8/XVPO1XeTPzH7p0qW5MvvQ0FBt3bpVv/32m0qXLq3y5curZcuWevrpp3P1s2rVKlWoUEGtW7fOV/AAAACALcXExCghIUFz5sxRuXLlzLsxPDw85Orqetf9WJVkm0wmvffee9qyZYuWLFlyx8zey8tLkrRz506lp6fnSqRNJpNWr16tDh06qEyZMtaEAQAAgGLIkXuy71Z8fLwkqWfPnhblsbGx6tSp0133Y1WSfTeZ/apVq+Tv7y8vLy/t379f48ePV+/evXN9JWfXrl06e/YsW0UAAABQZCQlJdmkH6uS7LvJ7E+ePKmpU6fq8uXLqlq1qiIjI9W7d+9cfa1cuVKBgYHy9/fPZ+gAAABA0eRkMlmxE7wIaevcxdEhAAAAFEmbUg7K2eeoo8PIJbTTZIeNvWP1ULuOl+/TRQAAAADkrUAfowEAAADuVnF48dFWWMkGAAAAbIwkGwAAALAxtosAAADAPorneRv5wko2AAAAYGNWJdnLly9Xu3btFBQUpKCgIHXt2lXffvutuf7GjRuKiYlRcHCwAgMDNWDAAF28eNGij59++kkvvfSSHn74YTVt2lQRERH65ZdfbDMbAAAAFFlOJsdd9mZVku3j46OhQ4dq9erVWrVqlZo3b65+/frp2LFjkqTx48frm2++0fTp07VkyRKlpqaqf//+5uczMzP16quvytfXVytWrNDy5ctVrlw5RURE6ObNm7adGQAAAOAgViXZrVu3Vnh4uGrWrKlatWpp8ODBcnNz04EDB5SRkaFVq1ZpxIgRCgkJUUBAgMaPH6/9+/frwIEDkqQTJ07o0qVLGjhwoGrXrq26deuqX79+unjxolJSUgpjfgAAACgqTA687Czfe7JzcnK0fv16ZWVlKTAwUIcPH9bNmzfVokULcxt/f3/5+vqak+xatWqpQoUKWrlypbKzs3X9+nWtXLlS/v7+qlq1aoEnAwAAABQFVp8ukpSUpG7duunGjRtyc3PT7NmzVadOHSUmJqpMmTIqX768RftKlSopLS1NkuTu7q4lS5aoX79+mjNnjiTJz89PcXFxKl2ag04AAABwb7B6JbtWrVpau3atVqxYoe7duys6OlrHjx+/q2evX7+ut99+W0FBQfrss88UHx+vevXqqW/fvrp+/brVwQMAAKD4KEkvPlq9fOzi4iI/Pz9JUkBAgA4dOqTFixfrqaee0s2bN3XlyhWL1ez09HR5e3tLktatW6dz587ps88+k7PzH/n95MmT1axZM23btk3//Oc/bTEnAAAAwKEKfE620WhUdna2AgICVKZMGe3cudNcd+LECaWkpKhJkyaS/ljJdnZ2lpOT0/8F8P/vjUZjQUMBAABAUWY0Oe6yM6tWsqdMmaKwsDBVqVJFmZmZSkhI0J49exQXFycPDw917txZEyZMkKenp9zd3TVu3DgFBgaak+wWLVpo4sSJiomJUc+ePWU0GjV//nyVKlVKwcHBhTE/AAAAwO6sSrLT09MVHR2t1NRUeXh4yGAwKC4uTi1btpQkvfXWW3J2dtbAgQOVnZ2t0NBQvfvuu+bn/f39NXfuXM2aNUtdu3aVs7OzGjRooH/961+qXLmybWcGAAAAOIiTyVQ8PyLf1rmLo0MAAAAokjalHJSzz1FHh5FL+NMTHTb2t18Nt+t4Bd6TDQAAAMASh1MDAADALhxxlJ6jsJINAAAA2Bgr2QAAALCP4vkqYL6wkg0AAADYGEk2AAAAYGNWJdnLly9Xu3btFBQUpKCgIHXt2lXffvutuf6zzz5Tz549FRQUJIPBoCtXruTq48iRI+rTp48efvhhBQcHa9SoUcrMzCz4TAAAAFCkOZkcd9mbVUm2j4+Phg4dqtWrV2vVqlVq3ry5+vXrp2PHjkmSrl27pkceeUSRkZF5Pn/hwgX16dNHNWrU0IoVK/Txxx/r2LFjGjlyZMFnAgAAABQRVr342Lp1a4v7wYMHKz4+XgcOHFDdunXVu3dvSdLu3bvzfH779u0qXbq03n33XTk7/5Hfx8TE6Nlnn9Xp06fl5+eXjykAAACgWCg57z3mf092Tk6O1q9fr6ysLAUGBt7VM9nZ2SpTpow5wZYkV1dXSdIPP/yQ31AAAACAIsXqJDspKUmBgYFq2LCh3n33Xc2ePVt16tS5q2ebN2+uixcv6l//+peys7N1+fJlTZkyRZKUlpZmbSgAAAAoRpxMJodd9mZ1kl2rVi2tXbtWK1asUPfu3RUdHa3jx4/f1bN169bVhAkTtHDhQjVp0kQtW7ZU1apVdf/998vJycnq4AEAAICiyOqP0bi4uJj3TgcEBOjQoUNavHixxo4de1fPt2vXTu3atdPFixd13333ycnJSZ988omqV69ubSgAAABAkVTgLz4ajUZlZ2db/dz9998vSVq5cqXKli2rli1bFjQUAAAAFGVGRwdgP1Yl2VOmTFFYWJiqVKmizMxMJSQkaM+ePYqLi5P0x77qixcvKjk5WZJ09OhRlStXTlWqVFGFChUkSUuXLlVgYKDc3Nz0/fffa+LEiXrzzTdVvnx5284MAAAAcBCrkuz09HRFR0crNTVVHh4eMhgMiouLM69Cf/rpp5o1a5a5fY8ePSRJsbGx6tSpkyTpp59+0syZM5WZmanatWsrJiZGHTp0sNF0AAAAUFQ54gVER3EymYrnbNs6d3F0CAAAAEXSppSDcvY56ugwcnmsdazDxt72tX0/fpjvc7IBAAAA5K3ALz4CAAAAd6VY7p/IH1ayAQAAABtjJRsAAAD2UTxfBcwXVrIBAAAAG7MqyV6+fLnatWunoKAgBQUFqWvXrvr222/N9aNHj1abNm3UqFEjNW/eXK+//rr++9//WvSRkpKi1157TY0bN1ZISIg++OAD3bp1yzazAQAAQJHlZHLcZW9WbRfx8fHR0KFD5efnJ5PJpLVr16pfv35as2aN6tatqwcffFDt2rVTlSpVdPnyZc2cOVMRERHatm2bSpUqpZycHPXt21f333+/Pv30U6Wmpio6OlplypTRkCFDCmuOAAAAgF1ZtZLdunVrhYeHq2bNmqpVq5YGDx4sNzc3HThwQJLUtWtXNW3aVNWqVdODDz6oQYMG6ddff9W5c+ckSTt27NDx48c1adIkNWjQQOHh4XrjjTe0bNmyfH2aHQAAACiK8r0nOycnR+vXr1dWVpYCAwNz1WdlZWn16tWqVq2afHx8JEkHDhxQvXr1dP/995vbhYaG6urVqzp+/Hh+QwEAAEBxYDI57rIzq08XSUpKUrdu3XTjxg25ublp9uzZqlOnjrl+2bJlmjx5srKyslSrVi0tXLhQLi4ukqSLFy9aJNiSzPdpaWkFmQcAAABQZFi9kl2rVi2tXbtWK1asUPfu3RUdHW2xCv3ss89qzZo1Wrp0qWrWrKlBgwbpxo0bNg0aAAAAxY+T0XGXvVmdZLu4uMjPz08BAQF68803Vb9+fS1evNhc7+HhoZo1a6pp06aaMWOGTpw4oS1btkj6Y9X64sWLFv39ee/t7V2QeQAAAABFRoHPyTYajXd8adFkMpnrmzRpoqNHjyo9Pd1c//3338vd3d1iywkAAABQnFm1J3vKlCkKCwtTlSpVlJmZqYSEBO3Zs0dxcXE6c+aMvvrqK7Vs2VJeXl46f/685s+fL1dXV4WHh0v64yXHOnXqaPjw4Ro2bJjS0tI0ffp09ejRw7xvGwAAAPeoEvTFR6uS7PT0dEVHRys1NVUeHh4yGAyKi4tTy5YtdeHCBe3bt0+LFi3SlStXVKlSJT388MOKj49XpUqVJEmlSpXS3LlzNWbMGHXt2lX33XefOnbsqIEDBxbK5AAAAABHcDKZiuevFG2duzg6BAAAgCJpU8pBOfscdXQYubRtMc5hY2/5/h27jlfgPdkAAAAALFl9TjYAAACQH07FcwNFvrCSDQAAANgYSTYAAABgY2wXAQAAgH2wXQQAAABAflmVZC9fvlzt2rVTUFCQgoKC1LVrV3377be52plMJr3yyisyGAzaunWrRd24cePUqVMnBQQEqH379gWLHgAAAMWH0YGXnVm1XcTHx0dDhw6Vn5+fTCaT1q5dq379+mnNmjWqW7euud2iRYvk5OR02346d+6sgwcPKikpKf+RAwAAAEWUVUl269atLe4HDx6s+Ph4HThwwJxkJyYmasGCBVq1apVCQ0Nz9fHOO38cBP7bb7+RZAMAAOCelO8XH3NycrRx40ZlZWUpMDBQknTt2jW9+eabGj16tLy9vW0WJAAAAIq/knROttVJdlJSkrp166YbN27Izc1Ns2fPVp06dSRJsbGxCgwMVJs2bWweKAAAAFBcWJ1k16pVS2vXrlVGRoY2bdqk6OhoLV26VKdPn9auXbu0Zs2awogTAAAAxR0r2bfn4uIiPz8/SVJAQIAOHTqkxYsXq2zZskpOTlbTpk0t2g8YMEAPP/ywlixZYpuIAQAAgCKuwB+jMRqNys7O1oABA9SlSxeLunbt2mnkyJFq1apVQYcBAABAccdKdt6mTJmisLAwValSRZmZmUpISNCePXsUFxcnb2/vPF929PX1VfXq1c33p0+fVlZWltLS0nT9+nUlJiZKkvz9/eXi4lLA6QAAAACOZ1WSnZ6erujoaKWmpsrDw0MGg0FxcXFq2bLlXffxzjvvaM+ePeb7Dh06SJK2bdumatWqWRMOAAAAUCRZlWSPHz/eqs7zOgebvdkAAAAllAO+vOgoVn1WHQAAALjX7d27V5GRkQoNDZXBYNDWrVut7oMkGwAAAHbhZDI57LJGVlaWDAaD3n333XzPtcCniwAAAAD3kvDwcIWHhxeoD5JsAAAA2AdH+AEAAAD3juzsbGVnZ1uUubi4FNoR0uzJBgAAwD1v3rx5euihhyyuefPmFdp4Vq1kL1++XPHx8Tp37pwkqW7duoqKijLvWenZs6fFGdiS1LVrV40dO1aS9Msvv2j+/Pn64Ycf9Pvvv6tq1arq1q2bXnrpJVvMBQAAAEWZA7eL9O3bV3369LEoK8wPIVqVZPv4+Gjo0KHy8/OTyWTS2rVr1a9fP61Zs0Z169aVJD3//PMaOHCg+Zn77rvP/OfDhw/Ly8tLkyZNUpUqVfTjjz9q9OjRKlWqlF588UUbTQkAAACwVJhbQ/JiVZLdunVri/vBgwcrPj5eBw4cMCfZrq6ueX5eXZKee+45i/vq1avrwIED2rx5M0k2AADAva6YvPiYmZmp5ORk8/3Zs2eVmJgoT09P+fr63lUf+X7xMScnRxs3blRWVpYCAwPN5evWrdOXX34pb29vtWrVSlFRURar2X+VkZGhChUq5DcMAAAAwKYOHz6sXr16me9jY2MlSR07dtSECRPuqg+rk+ykpCR169ZNN27ckJubm2bPnq06depIkp555hn5+vqqcuXKSkpK0uTJk3Xy5EnNmjUrz75+/PFHbdiwoVA3nQMAAADWCA4OVlJSUoH6sDrJrlWrltauXauMjAxt2rRJ0dHRWrp0qerUqaOuXbua2xkMBnl7e6t3795KTk5WjRo1LPo5evSooqKi1K9fP4WGhhZoEgAAACgGjI4OwH6sPsLPxcVFfn5+CggI0Jtvvqn69etr8eLFebZt3LixJOn06dMW5cePH1fv3r3VtWtXRUVF5SNsAAAAoOgq8MdojEZjroO9/5SYmChJFi9CHjt2TC+99JI6dOigwYMHF3R4AAAAFBNOxeTFR1uwKsmeMmWKwsLCVKVKFWVmZiohIUF79uxRXFyckpOTtW7dOoWHh6tChQpKSkpSbGysmjZtqvr160v6Y4vISy+9pNDQUPXp00dpaWmSpFKlSsnLy8v2swMAAAAcwKokOz09XdHR0UpNTZWHh4cMBoPi4uLUsmVL/frrr9q5c6cWL16srKwsValSRY8//rjFdpBNmzbpt99+05dffqkvv/zSXF61alV9/fXXtpsVAAAAip4StJLtZDIVz9m2de7i6BAAAACKpE0pB+Xsc9TRYeTyVIORDht7Q2KsXcez+sVHAAAAAHdW4BcfAQAAgLtiLJYbKPKFlWwAAADAxljJBgAAgH0Uz1cB84WVbAAAAMDGSLIBAAAAG7Nqu8jy5csVHx+vc+fOSZLq1q2rqKgohYeHm9vs379f06ZN008//SRnZ2c1aNBAcXFxcnV1lSRFRkbql19+UXp6ujw9PRUSEqKhQ4fqH//4hw2nBQAAgCKnBG0XsSrJ9vHx0dChQ+Xn5yeTyaS1a9eqX79+WrNmjerWrav9+/frlVdeUd++fTVq1CiVKlVKv/zyi5yd/2/BvHnz5oqMjJS3t7cuXLigiRMn6o033tCnn35q88kBAAAAjlDgj9E0a9ZMw4YNU5cuXfT888+rRYsWGjRo0F0/v23bNvXr10+HDh1SmTJl7vo5PkYDAACQtyL7MZo6wxw29objk+w6Xr73ZOfk5Gj9+vXKyspSYGCg0tPTdfDgQVWqVEndunVTixYt9OKLL2rfvn237ePSpUtat26dAgMDrUqwAQAAgKLM6iP8kpKS1K1bN924cUNubm6aPXu26tSpowMHDkiSZs2apeHDh6tBgwZau3atevfurYSEBNWsWdPcx6RJk7Rs2TJdu3ZNTZo00dy5c201HwAAABRVfIzm9mrVqqW1a9dqxYoV6t69u6Kjo3X8+HEZjUZJUteuXdW5c2c98MADeuutt1SrVi2tWrXKoo+IiAitWbNGCxYskLOzs6Kjo1XAXSsAAABAkWH1SraLi4v8/PwkSQEBATp06JAWL16sV199VZLk7+9v0d7f318pKSkWZV5eXvLy8lKtWrXk7++v8PBwHThwQIGBgfmdBwAAAFBkFPicbKPRqOzsbFWrVk2VK1fWyZMnLepPnTqlqlWr3vF5ScrOzi5oKAAAACjKTEbHXXZm1Ur2lClTFBYWpipVqigzM1MJCQnas2eP4uLi5OTkpIiICM2cOVP169dXgwYNtGbNGp04cUIzZsyQJB08eFCHDh3SQw89pPLlyys5OVkffvihatSowSo2AAAA7hlWJdnp6emKjo5WamqqPDw8ZDAYFBcXp5YtW0qSevfurezsbMXGxury5cuqX7++FixYoBo1akiSXF1dtXnzZs2cOVNZWVny9vbWI488oqioKLm4uNh+dgAAACg6StA7eAU+J9tROCcbAAAgb0X2nOyagx029oZT0+w6XoH3ZAMAAACwZPXpIgAAAEC+cE42AAAAgPxiJRsAAAD2UTxfBcwXVrIBAAAAG2MlGwAAAPZRglayrUqyly9frvj4eJ07d06SVLduXUVFRSk8PFxnz57VY489ludz06dP11NPPWVR9vvvv6t9+/a6cOGC9u7dq/Lly+dzCgAAAEDRYlWS7ePjo6FDh8rPz08mk0lr165Vv379tGbNGtWuXVs7duywaP/ZZ58pLi5OYWFhufp6++23ZTAYdOHChYLNAAAAAChirEqyW7dubXE/ePBgxcfH68CBA6pbt668vb0t6rdu3aqnnnpK5cqVsyhfvny5MjIyFBUVpX//+9/5DB0AAADFSgnaLpLvFx9zcnK0fv16ZWVlKTAwMFf94cOHlZiYqOeee86i/Pjx45ozZ44++OADOTvz3iUAAADuPVa/+JiUlKRu3brpxo0bcnNz0+zZs1WnTp1c7VauXCl/f38FBQWZy7KzszVkyBANGzZMvr6+OnPmTMGiBwAAQPFhNDo6Aruxeim5Vq1aWrt2rVasWKHu3bsrOjpax48ft2hz/fp1JSQk5FrFnjJlivz9/dW+ffuCRQ0AAAAUYVavZLu4uMjPz0+SFBAQoEOHDmnx4sUaO3asuc3GjRt1/fp1dejQweLZXbt26ejRo9q0aZMkyfT/9+U0b95ckZGRGjhwYH7nAQAAgKKuBO3JLvA52UajUdnZ2RZlq1atUuvWreXl5WVRPnPmTF2/ft18f+jQIb311ltatmyZatSoUdBQAAAAgCLBqiR7ypQpCgsLU5UqVZSZmamEhATt2bNHcXFx5janT5/W3r17NX/+/FzP/zWR/v333yVJ/v7+nJMNAACAe4ZVSXZ6erqio6OVmpoqDw8PGQwGxcXFqWXLluY2q1atko+Pj0JDQ20eLAAAAIqxErRdxMlkKp6zbevcxdEhAAAAFEmbUg7K2eeoo8PI5al/vO6wsTdc+Miu4xV4TzYAAABwV4zFcm03X/gaDAAAAGBjJNkAAACAjbFdBAAAAHZhMvHFRwAAAAD5ZNVK9vLlyxUfH69z585JkurWrauoqCiFh4dLktLS0jRx4kR9//33yszMVK1atRQZGaknnnjC3Efr1q3Nz//pzTff1GuvvVbQuQAAAKAoK0EvPlqVZPv4+Gjo0KHy8/OTyWTS2rVr1a9fP61Zs0Z169ZVdHS0rly5oo8++kgVK1bUunXrNGjQIK1atUoPPPCAuZ+BAwfq+eefN9+XK1fOdjMCAAAAHMyq7SKtW7dWeHi4atasqVq1amnw4MFyc3PTgQMHJEn79+/Xiy++qEaNGql69eqKiopS+fLldeTIEYt+ypUrJ29vb/Pl5uZmswkBAACgiDKZHHfZWb73ZOfk5Gj9+vXKyspSYGCgJCkwMFAbNmzQpUuXZDQatX79et24cUPNmjWzePbjjz9WcHCwOnTooH/961+6detWwWYBAAAAFCFWny6SlJSkbt266caNG3Jzc9Ps2bNVp04dSdL06dM1ePBgBQcHq3Tp0nJ1ddWsWbPk5+dnfr5nz5564IEH5Onpqf3792vq1KlKS0vTyJEjbTcrAAAAwIGsTrJr1aqltWvXKiMjQ5s2bVJ0dLSWLl2qOnXq6MMPP9SVK1f0ySefqGLFitq6dasGDRqkZcuWyWAwSJL69Olj7qt+/foqU6aM3n33Xb355ptycXGx3cwAAABQtBhLzhF+VifZLi4u5pXpgIAAHTp0SIsXL9Yrr7yipUuXKiEhQXXr1pX0RxK9b98+LVu2TGPHjs2zv8aNG+vWrVs6e/asateuXYCpAAAAAEVDgT9GYzQalZ2drWvXrkmSnJ0tt3mXKlVKpjtsNk9MTJSzs7MqVapU0FAAAABQlDngBURHsSrJnjJlisLCwlSlShVlZmYqISFBe/bsUVxcnGrXri0/Pz+NHj1a0dHRqlChgrZu3arvvvtO8+bNk/TH6SMHDx5U8+bNVa5cOe3fv1+xsbF69tln5enpWSgTBAAAAOzNqiQ7PT1d0dHRSk1NlYeHhwwGg+Li4tSyZUtJ0vz58zVlyhRFRkYqKytLNWrU0IQJE8wfq3FxcdFXX32lWbNmKTs7W9WqVVPv3r0t9mkDAAAAxZ2T6U57OYqwts5dHB0CAABAkbQp5aCcfY46OoxcnnB/yWFjb7q6yK7j5fucbAAAAAB5K/CLjwAAAMBdKZ4bKPKFlWwAAADAxljJBgAAgH0YWckGAAAAkE8k2QAAAICNWZVkL1++XO3atVNQUJCCgoLUtWtXffvtt+b65ORk9evXT82bN1dQUJDeeOMNXbx4MVc/27dvV5cuXdSoUSM1bdpUUVFRBZ8JAAAAijaT0XGXnVm1J9vHx0dDhw6Vn5+fTCaT1q5dq379+mnNmjWqWrWqXn75ZdWvX1+LFv1xDuGHH36oyMhIrVixwvy59U2bNmnUqFEaPHiwmjdvrpycHB09WvTOcQQAAADyq8Afo2nWrJmGDRumKlWq6NVXX9XevXvl7u4uScrIyFDTpk21YMECtWjRQrdu3VLr1q01YMAAdelSsI/J8DEaAACA/9femcfVmL///3VC+GYfzGAwoxnntK9KiygKiSlKg5BKqo9iLIVG9l3WxprJOgzTWL5jGcxYPkMaezEKLbQoLaK0nOpcvz/6dX87qnOfdEfM+/l49ODc73O/znVv7/u67vv9vq6aaazFaOxUx7633z4r/emd/t5bj8kuLy/HyZMnUVhYCAMDA0ilUohEIqiqqnLfad68OVRUVHDz5k0AwD///IPMzEyoqKjA0dERlpaW8PLyYk+yGQwGg8FgMBgfFXV2suPj42FgYAAdHR0sWLAAP/zwA7766ivo6+ujZcuWWLNmDYqKilBYWIhVq1ahvLwcWVlZAICUlBQAQFhYGHx9fbFt2za0bdsW48ePR15enqAbxmAwGAwGg8FoZPyLxmTX2cn+8ssvcezYMRw+fBhjxoxBUFAQHj9+jA4dOmDjxo24cOECDAwMYGxsjFevXkFLSwsikQgAIJNVbKCPjw8GDx4MbW1trFixAiKRCGfOnBF2yxgMBoPBYDAYjPdEnYvRqKqqomfPngAAbW1txMbGYu/evVi8eDEsLS1x/vx55ObmomnTpmjTpg0sLCxgb28PAOjUqRMAQF1dXU6ve/fuePbsmRDbw2AwGAwGg8FgvHfqnSdbJpNBKpXKLevQoQPatGmDqKgo5OTkwMbGBkCFU66qqoqkpCTuu6WlpUhLS0PXrl3rawqDwWAwGAwGoxFDMnpvf3XlwIEDsLGxgY6ODlxcXBATE1On9ev0JDs0NBRWVlbo0qULXr9+jd9++w1///03du3aBQCIjIyEuro6OnTogNu3b2P58uVwd3dHr169AACtWrXCt99+i82bN6NLly7o2rUrt+6QIUPqZDiDwWAwGAwGg9EQnDp1CitWrMCiRYugp6eHPXv2wNPTE2fOnMEnn3yilEadnOycnBwEBQXh+fPnaN26NcRiMXbt2gULCwsAQFJSEtatW4eXL1+iW7du8PHxgbu7u5xGYGAgmjZtisDAQBQXF3OGt23bti6mMBgMBoPBYDA+NN7DBMS3ISIiAqNHj8aoUaMAAIsWLcLFixcRGRkJb29vpTTqnSf7fSHL6P2+TWAwGAwGg8FolAzuqodzsiPv24xqvM86J8ruD6lUCn19fWzatAmDBg3ilgcFBeHVq1fYunWrUjp1nvjIYDAYDAaDwWB8aEil0mrzCFVVVeVqvADAixcvUF5eXm1YyCeffILExESlf++DdbIbYxUjBoPBYDAYjMbAuUY6KuN9Pl3fvHkzwsLC5JZNnToV/v7+DfJ7H6yTzWAwGAwGg8FgKMuUKVMwadIkuWVvPsUGgPbt26NJkybIycmRW56Tk4OOHTsq/Xv1TuHHYDAYDAaDwWA0dlRVVdGqVSu5v5qcbFVVVWhpaSEqKopbJpPJEBUVBQMDA6V/jz3JZjAYDAaDwWAwqjBp0iQEBQVBW1sburq62LNnD4qKijBy5EilNZiTzWAwGAwGg8FgVMHe3h65ubnYtGkTsrKyoKGhgfDw8DoNF/lgU/gxGAwGg8FgMBiNFTYmm8FgMBgMBoPBEBjmZDMYDAaDwWAwGALDnGwGg8FgMBgMBkNgmJPNYDAYDAaDwWAIDHOyGQwGg8FgMBgMgflgUvjl5uYiMjISd+7cQXZ2NgCgY8eOMDAwwMiRI9GhQ4f3bCGDwWAwGAwGg1HBB5HCLyYmBl5eXmjRogXMzc3xySefAKgobxkVFYXi4mKEh4dDR0fnvdk4YcIErFixAt26dXunvxsXF4d79+7B1NQU3bt3x6NHj3DgwAHIZDLY2tqiX79+SulIpVKcP3++xiBm4MCBNVZEepcMHDgQu3btwhdffKHU9zMyMqCqqsoFXzdu3MDBgwfx7NkzdO3aFePGjatT1SYGoz6EhYVh7Nixb/0w4NWrVzhz5gzS09PRrVs3DBkyBK1bt1Zq3fLycm49FRUV7lonIpiamiqd87WsrAyPHz9GVlYWAKBTp05QV1dHs2bN3mqbhGTu3LmYPn06Pv3007dav6ysDNHR0dx+MjU1RZMmTZRaNycnBw8fPoS2tjZat26N7OxsHD16FESE/v37QywWv5VNDAbjw+eDcLJHjx4NiUSCRYsWQSQSybURERYsWID4+Hj8/PPPSullZGSgdevWUFNTk1teWlqKO3fuoE+fPrWu+8cff9S43N/fH8HBwfjss88AVDiFipBKpRCJRNwN6unTp4iMjER6ejq6du0KZ2dndO/eXaHG2bNnMX36dLRu3RpSqRQ//PADpk2bBm1tbaioqCAqKgqrVq3C8OHDFeo8efIEnp6eeP78OfT09OSCmLt37+Kzzz7Dzp070bNnT4U6lchkMqioVB+JJJPJkJGRga5du9a67t69e2tcvnLlSnh5eXEOwYQJExTa4OLiAj8/P1hbW+P8+fPw9/fHgAEDoK6ujuTkZFy8eBGbN2+GtbU17/YIeRPNysrC3bt35QIZPT09dOrUSWmNhqK+jsrbOoJCBYpARUB++/btaoGirq6u0hr1OX8LCgqqLSMimJmZ4aeffkKvXr0AAK1atVJow9SpU+Hg4IAhQ4bg0aNHGD9+PEQiEbp37460tDSIRCLs2bMH6urqCnXi4uLg5eWFnJwcfPXVV9ixYwe8vb2RmpoKAGjWrBnCw8MV7h+ZTIaNGzfip59+Qn5+vlxb69atMW7cOAQEBNS4z97kwIEDOHfuHNq2bYtvv/0WZmZmXFtubi5cXFxq7WMrt6cmnJ2dsWHDBnz++ecAAIlEotCOJUuWwNLSEtbW1sjIyMCkSZPw5MkTtG/fHi9evIC6ujrCw8N5r4Xo6Gj4+PigqKgIHTt2RHh4OKZMmYIWLVpAJBIhLS0NW7duhaWlpUIdoHEHMUD9AsX6BDFCBYmNue8F6tf/1icIZzQsH4STrauri6NHj9Z6Q0lISICTkxNiYmIU6jx//hx+fn64f/8+RCIRHBwcsGDBAs7Zzs7ORr9+/fDgwYNaNSQSCUQiERTtNpFIpFADAMaPH49x48ZhyJAhuHnzJtzd3fHll19yTmBSUhIiIiIUPm0dOXIkbG1t4evri5MnT2LhwoVwd3fHf/7zHwDAjz/+iBMnTuDYsWMKbZk0aRJatmyJ1atXV7v5FxQUIDAwECUlJdi1a5dCnYKCAgQHB+PChQto1aoVXF1dMXXqVK4zVXb/fvrpp9U64PT0dHTu3BlNmzaFSCRSeCMGAAMDA5w4cQLdu3fH6NGjMWjQIHh7e3Pt+/fvR2RkJI4ePapQR6ibaGFhIUJCQnDq1CmIRCK0bdsWAPDy5UsQEYYNG4bFixejZcuWtWqUlpZi/fr1ck6Ks7Mz167M/gWEc1SEcASFChRzcnLg7++PW7duoWvXrnKBYnp6OgwNDbF582ZueU0Icf5qaGjUuJyIuH5Dmf7BxMQEBw8ehLq6OiZPnow2bdpgxYoVUFVVRWlpKRYuXIiMjAzea9LT0xNqamqYOnUqjhw5gitXruDrr7/G2rVrIRKJMHfuXGRnZyMiIqJWjdWrV+Po0aOYNm0aLC0tOacmOzsbV65cwcaNG+Hk5ITZs2crtGXv3r1Yt24dRo4cifz8fJw+fRr+/v6YMmUKp1ef/rcu+9fCwgIRERHo3bs3pk+fjpcvXyI0NBQdOnRAXl4e5syZA1VVVWzatEmhztixYyGRSDBz5kwcOnQIe/bswaBBgxASEgIAWLVqFW7fvo1Dhw7VqiFUECNU/yBEoChUECNEkChE31tJfYPEym2qibr0v0IF4Yx3AH0AWFtb09GjR2ttP3r0KFlbW/PqBAYGkouLC8XExNCVK1fIycmJRo4cSXl5eURElJWVRWKxWKGGp6cneXt7U3Z2ttxyTU1NevToEf/G/H8MDQ0pKSmJiIjc3Nxo+fLlcu3r16+nb7/9VqGGvr4+paSkEBGRTCYjLS0tiouL49qfPn1K+vr6vLbo6upSfHx8re1xcXGkq6vLq7NkyRKys7Oj06dP0+HDh8na2pq8vb2ppKSEiJTbv/Pnz6dvvvmGHj9+LLe8rvvXyMiIHjx4QEREZmZm3P8refLkCenp6fHqjBkzhhYtWkQFBQUUHh5O/fr1o0WLFnHtK1euJFdXV16defPmkZ2dHV2+fJnKysq45WVlZfTf//6X7OzsKDg4WKHGpk2byNzcnMLDw2ndunVkZGRE8+fP59qV2b9ERGKxmCQSCYnF4mp/lcslEgmvTp8+fbjj5OXlRTNmzOCOtVQqpXnz5pGHh4dCDScnJ9qyZQsREf32229kbGxMYWFhXPuuXbvom2++4bXF39+fXF1dKSEhoVpbQkICubq6kr+/v0INIc7ffv36kbe3N0VFRVF0dDRFR0fTtWvXSENDgyIjI7llfOjq6tKTJ0+IiMjCwoLu378v156YmEhGRka8OlWPUVFREWloaNDdu3e59ocPH5KJiYlCDXNzc7p8+XKt7ZcvXyYzMzNeW+zt7enEiRPc55s3b1Lfvn1pw4YNRFSxf/nOuxEjRpC3tzc9fvyYUlNTKTU1lVJSUkhTU5OuXLnCLeNDR0eHnj59SkREVlZWcvuEiCg+Pp5MTU15dQwNDbnjVFpaSpqamvTPP/9w7UlJSbzHadWqVdS3b186ePAgpaSkUFFRERUVFVFKSgodOnSIzMzMaPXq1by2CNU/SCSSGv/q0j+Ym5tz95Rp06aRu7s75eTkEBHRixcvaMqUKbzXIxGRh4cH+fv7U3x8PC1dupSGDh1KAQEBJJVKqbS0lGbNmkXu7u4KNYToe4mI9uzZQ3p6erRo0SKaNWsWaWlp0bZt27h2Zc5fImH6XyH6Xsa74YNwsvfv30/a2tq0ZMkSOn/+PN25c4fu3LlD58+fpyVLlpCuri7t37+fV8fS0lKuMy0pKaEpU6bQN998Qy9evFD6IomIiKD+/fvTn3/+yS2rqxOor6/PXSTm5uY1OoF8DrKFhQXFxsYSEVFeXh6JxWK6du0a13737l2ysLDgtcXCwkJuW97kjz/+UEpnwIABcr+fk5NDzs7O5OHhQSUlJUrv37Nnz1L//v1p37593LK67l8fHx9au3YtEVV01Hv27JFrP3z4MNnZ2fHqCHETJSIyNjammzdv1tp+48YNMjY2Vqhha2srd5ySk5PJ1taW5syZQzKZTOn9K5SjIoQjKFSgqK+vX+33qxIbG8urI8T5++LFC/Lz86Px48dTRkYGt7yu56+Liwv9/PPPRETk6OhI586dk2v/66+/lLomjY2NuWBeKpWShoYG3bt3j2t//Pgx9enTR6GGnp6e3DF5kwcPHigdzFce60ri4+PJ3Nyc1q5dq9T+LSkpoaVLl5K9vb3c8a7r/h0+fDidPHmSiIiGDh1KV65ckWu/desWb/BBRGRqakoPHz4kIqLCwkKSSCR0+/Ztrv3Bgwe8zrpQQYxQ/YMQgaJQQYwQQaIQfS+RMEEikTD9r1BBOKPh+SBS+I0bNw6rVq1CTEwMAgIC4OrqCldXVwQEBCAmJgYrVqzAuHHjeHUKCgrQpk0b7rOqqirCwsLQrVs3TJgwATk5OUrZ4+7ujq1bt2Lt2rUICQlBUVFRnbdJV1cXFy5cAAB079692iukBw8eoF27dgo1zMzMsHjxYpw4cQJBQUGwsLDAunXrkJCQgMTERKxZswaGhoa8tri4uCAoKAi7d+9GXFwcsrOzkZ2djbi4OOzevRtz586Fq6srr05ubq7ceNUOHTogIiICr1+/xuTJk5XeT7a2tvj5559x7tw5eHl5cWMU68KsWbNw+PBhBAUFwcjICOvXr8fs2bOxbds2BAUFYfHixdxrakU0a9YMJSUlACpex8pkMu4zABQXF6NpU/4kPTKZTOHYymbNmkEmkynUyMzMxNdff8197tmzJ/bt24dbt25h9uzZKC8v57UDAI4cOYIePXogICAAL1++RLdu3bhXlJ07d0a3bt2UmsArFotx7do1ABXjR9PT0+Xa09PT0aJFC4UaampqyMvLA1AxrrCsrIz7DAAvXryoNneiJlRVVWt8zV3J69eveSfvCnH+tmvXDj/88AOGDBkCZ2dn/Pbbb7zr1ISfnx9CQ0Px66+/Yvz48Vi+fDmOHDmCW7duITIyEsHBwRgxYgSvjpaWFnbu3InMzExs374dn3/+Ofbv38+179+/X+6cqgkTExOsXr0aubm51dpyc3Oxdu1amJiY8NrSvn17ZGRkyC3r3bs39uzZg19//RVr1qzh1VBVVUVwcDACAwPh6+uL7du38143NeHu7o5Vq1YhOjoa3t7eWLp0KaKiopCZmYlr164hJCQEtra2vDqGhoYIDQ3FzZs3sWLFCmhqamLr1q0oLCxEUVERtmzZAm1tbYUar1+/RufOnWtt79Spk1LnnlD9w4kTJ9C0aVNs2bIFPXv2hImJCUxNTSESiaCrqwsTExPe4/3FF18gNjYWQMU1/ua1+fr1a4VDLishIm641pv/AoCKigqvjhB9LwCkpqbKDd80NDTEnj17cPjwYYSGhvKuX4kQ/a8QfS/jHfGenfw6I5VKKTMzkzIzM0kqldZpXQcHBzpz5ky15aWlpeTn50cDBgxQKhKtpKioiObPn092dnakoaFRpycpt27dIiMjI9q0aRPt27ePTE1Naf369XTixAnauHEjGRsb044dOxRqZGVl0aRJk0hfX588PDzo1atXtHjxYu51k52dHRft8rF9+3aysLDg1q18bWVhYcFrRyWDBw+mixcvVlteUFBArq6uNGLEiDrtX5lMRtu2bSMLC4s671+iircB06dPJwMDA+51nJaWFrm6ulZ7Mlgbvr6+NGXKFLpx4wbNnz+fRo4cSd7e3vT69WsqLCwkf39/8vT05NWZMWMGOTo61vi09f79++Tk5EQzZ85UqGFjY0NXr16ttjwjI4Ps7Oxo0qRJddq/Fy9eJCsrK9q2bRuVl5fX+WnghQsXyMTEhCIjIykyMpKsra3p8OHDdPPmTfrll1+of//+tGrVKoUas2bNIhcXFzp+/DhNmTKFPDw8aPTo0fT48WNKSEggNzc3pV4rL1y4kKytrens2bOUn5/PLc/Pz6ezZ8+StbU1LV68WKGG0Ofvo0ePaMSIETRjxow671siojNnzpCVlVW1V8s6Ojq0bNkyuVfftXH37l0yMTEhiURCffv2pYcPH5KLiwtZWFiQpaUl6erq1nhOVSU9PZ0cHBxIU1OTHB0dydPTkzw9PcnR0ZE0NTVp+PDhlJ6ezmvLjBkzaNmyZTW2PXz4kPr27Vun/ZuVlUVeXl40duzYt9q/P/74I+np6ZGuri5paWnJDY3w8/OjgoICXo2kpCSys7MjsVhMQ4cOpYyMDPLx8SFNTU3S1NSkvn37yr05qInJkyeTh4cHN5yiKjk5OdwQRT6E7h8OHDhAlpaW9L//+79EVLe3BZGRkWRlZUXXrl2jo0eP0tChQ+nq1auUkZFBUVFR5ODgoNQQjYkTJ9K8efMoIyODNm/ezD2Zr2ThwoU0duxYhRpC9L1ERP3796fr169XW/7o0SMyNzenwMDAd9b/CtH3Mt4NH8TER6FYs2YN4uLiapwsVFZWBn9/f1y4cKHWiQm18ccffyA6OhpTpkxROLHqTW7fvo2VK1fi7t27css7d+4MT09PTJw4sU52VJKSkoKioiL06tVLqaesb65bdfY1X4aTqixZsgRZWVk1ThYqKCiAh4cHYmNjeSfevMm9e/dw8+ZNODo6cpNW6gIRIScnBzKZDO3bt6/TbP3k5GRMmTIFT548Qa9evRAREYGFCxfi8uXLAIA2bdogPDwcWlpaCnVevnyJmTNn4q+//kLbtm25Gfq5ubl49eoVLC0tERoaKvem5U2Cg4NBRFi+fHm1tszMTIwfPx4pKSl12r/Z2dmYO3cuCgsLcefOHRw/fhxfffWV0uv//vvvWL58OZ4/fy73RElVVRXffvstgoKCFGYRyM7ORmBgIG7fvg1DQ0Ns2LABGzZswIEDByASidCjRw/s3LkTPXr0UGiHVCrFsmXLEBkZifLycu4Yl5aWokmTJnB2dsa8efMUPs1eunQpnj9/Luj5K5VKERoaiujoaGzevLlO1xNQkVnh/v37SE1NhUwmQ6dOnaClpcWbnaQqhYWFSExMxJdffgk1NTWUlJTgxIkTKCkpgbm5OTeRTREymQz//e9/q2Vn0NfXh6WlpVKZReLi4nD//n2MGjWqxvaHDx/i7NmzmDp1qtLbBlRMqIyOjsb8+fO57E7K8urVK1y5cgUpKSkgInTq1AmGhoZKpwqt5MWLF2jfvj33uTK1rL6+vtzymnj27Bm8vb2RmJiI3r17y03affjwIdTV1bF9+3Z06dJFoU5D9A+PHz/GzJkz8dVXX+HMmTN16h8iIiKwceNGEBHKy8vlnqTb2Nhg9erVvG+pYmJiMHnyZLx69Qrt2rXD3r17ERwcjPT0dIhEIrx69Qrbtm2Tm4D4JkL0vQAwc+ZMfPLJJ5g3b161tkePHmHChAnIy8t7Z/1vfftexrvhX+Vkl5WVobi4uNYbVFlZGTIzM995ruvc3FykpKRwN9HKV0dvi7a2No4fP/7OZxa/fPkSz58/r/X1c0FBAf755x+lXi0LwfPnz3Hw4EHcvHkTWVlZUFFRQffu3TFw4ECMHDmyTh1QfW6iVUlISKiWi1xfX1+pY5WWlobExMRaU9plZmbi6tWrcHJyUtqeSurjqAjhCL7J06dPUVxcXOdAsaCgAPfu3ZPbv9ra2krZ0tjOX8a/ByGCmIbqH+oTKAoRxAgRJAL163uBhgsSgbfvfxui72UIy7/Kyebj2bNn2LRpE1asWKHwe8XFxbh37x7atWtXLeosKSnB6dOn4ejoyPt7lRe9gYEBevXqhYSEBOzduxdSqRQjRoxQGJ0DqNXOvXv3YsSIEdyY7rlz5yrUuX//Ptq0acN1nseOHcOhQ4e4wi1ubm4YNmwY7/YsWbIEQ4cOhbGxMe93FbF//37ExMSgf//+GDZsGI4dO4YdO3ZAJpPBzs4OAQEBvI5XbGwsJk2ahB49eqBFixa4c+cOHBwcUFpair/++otLIcU6I0ZDIES+bkW8fPkSFy5cUKqfAeqX+7s2hCjAlZKSgqdPn6JTp07o3bs37/eFqC8AVDwFtLKyUiptGx9C5nlnMBgfF8zJrkJcXBycnJwUvu5JSkqCp6cn97rKyMgI69at4yauKJuL9PLly/Dz84OamhqKiooQFhaGoKAgSCQSyGQyXL9+Hbt27VLoaEskEkgkkmpJ569fvw5tbW20bNkSIpGo1gIvlYwYMQJz5syBubk5jhw5gqVLl8LFxQXq6upISkrCkSNHEBwcLJdztTZ7Kl/xjxo1Ck5OTnVO9L9lyxaEh4fD0tISt27dwoQJE7Br1y64u7tDRUUFu3fvxpgxYxAQEKBQZ8yYMbCwsOCeKhw/fhwHDhzA4cOH8fLlS0ycOBHGxsb4/vvveW0SshpmfQohARVP1OPj4yGRSNCuXTvk5ubil19+gVQqxdChQ+v19qKuVTXfhIgQHR3NOU2Wlpa8Q3OErMx54cIFxMTEwNLSEkZGRoiKisKPP/7IBWfKTN4tLi7Gb7/9Vu3tx6BBg3iDXkCYfN3KoExfBQiT+1uoAlwLFy7E7NmzoaamhuLiYgQGBuLcuXNcbus+ffpg69atCocQCFFfAKjoq9TU1GBvbw9nZ2fo6ekp/H5tCJXnHfj4AjMiQmpqKrp06YKmTZty/ahUKoWVldVbVz8F6hbgfcyBWVRUVLW+ysbG5q37cEYD8I7HgL9Xzp8/r/AvIiKCd+KCn58feXt7U05ODiUnJ5O3tzfZ2NhQWloaESmfxsfV1ZXWrVtHRBX5gfv06cN9JiJau3YtTZo0SaHG9u3ba5zsUtdJQLq6ulzKIEdHRy51WCUnTpwge3t7Xh2xWExXr16lpUuXkqmpKWlpaZGPjw/9+eefVF5erpQtgwYNot9//52IKtJfaWho0PHjx7n2s2fPkq2trVLbVJlCioiovLyctLS0KCsri4gqUqBZWlry6iQnJ9PAgQNJR0eH3NzcaNq0aTRt2jRyc3MjHR0dsrW1peTkZF6dzMxMGjVqFEkkEtLQ0KDZs2fLTaxS5ry5e/cuGRkZkVgspj59+lBsbCzZ2NiQnZ0dDRo0iHR1dXknWRFV5Hut6U9DQ4NCQ0O5z3x4eXnRq1eviKgidZ2LiwuJxWJuAtuQIUNqnMxVFWdnZy7t2Llz50gikZCPjw+tWbOG/vOf/5CWlpbC9JKVHDx4kDQ1NcnJyYkMDQ3p2LFjZGBgQMHBwTR//nzS1dWl3bt3K9RITk4ma2trMjMzo/79+5NYLCZvb29ycXEhDQ0NCggIoNLSUoUaQuTrJqqYsKno7/r160r1M0Lk/laU17dqfl8+JBIJV18gNDSUrKysKCoqigoLC+nGjRs0aNAgLu1mbQhRX6Bym8LCwsjR0ZHEYjENGzaMIiIiKDc3l3fdqgiR5z07O5vGjBlDYrGYrK2tydnZmZydncna2prEYjGNGTOmWl2Gt+HBgwdKHaf8/HwKCAggHR0dMjMzow0bNshNslWmr0pISCBra2uSSCRka2tLT58+JScnJ9LX1yc9PT0yNTXljqMiartXa2ho0P79+7nPinBzc6PTp08TUUW6Pm1tbRo+fDhNnz6dHB0dSU9Pj27dusVri1gsJkNDQ/r+++/pzp07vN+vjd9//500NDTIxMSE9PX16cqVK2RsbEzu7u7k4eFBGhoacqkCayI7O5ucnZ1JIpGQpqYmSSQScnJy4pIEsEmPjYd/lZMtxM3CzMxMLmesTCajkJAQGjBgAD19+lRpJ9vQ0JBzzipnFled/VyZP5aPu3fvkp2dHa1cuZLLtlJXJ9vExITLt11b4RZlitGIxWLuZiCVSunkyZNcp2FpaUnr1q3jdUh1dXW5gIWISEtLi8tDS0SUmpqqVBEZa2trunHjBvc5MzOTxGIxFRUVERFRSkoK6ejo8Oq4u7uTr6+vXMaKSvLz88nX11eppP9CFEJyd3en4OBgys/Pp/DwcLKyspKboT9nzhzy8/PjtUUsFpOVlRVZW1vL/YnFYurXrx9ZW1uTjY2NUjqVx3vBggVkb2/PBTbPnj0jJycnCgkJUaihr6/PrePi4kLbt2+Xa9+3bx85Ojry2mJvb88Fh1FRUaSjoyOXOz8yMpKGDh2qUMPLy4vmz59PMpmMiCqCWC8vLyKqyCJhbW1NmzZt4t2e+ubrJvq/voqvMAgfQuT+FqoAV9XzxcHBgctaUcn58+d5c9cLUV/gTVtiY2NpwYIFZGxsTNra2hQQEEB//fWXUtskRJ73jzEw8/X1JR8fH4qLi6Nly5bR0KFDydfXl6RSKVefYtasWby2CHHP/hgDs+nTp5Ofnx/l5+dTSUkJLV68mAIDA4mI6OrVq2RiYsL7UIHxbvhXOdmWlpYKU7f9888/vBesgYFBtWqERESLFi0iKysrpTuyqkVOiOSdDaIKZ1IZJ5CoIsVYYGAgDR8+nOLj40lLS6tON79Zs2bRvHnziIgoICCA1q9fL9e+bds2cnBw4NWpeuOqSlpaGm3atIl7sqEIGxsbunTpEhFVODYSiYROnTrFtV+8eFGp6p5Lly4lBwcHunTpEkVFRdH48ePJzc2Na798+TINGjSIV0eoaphCFEKqWphBKpWSRCKR07x37x7169eP1xahqmpWPd6DBw+u9kTp6tWrvM66UJU5awrOqh63lJQUXh09PT25p2slJSWkpaXF3UTPnTvHe+6ZmJgoLNRx7do1pYqcGBoa0o4dO7jCH2/+HT58WKl+5s03OkQVzpirqytNmDCBnj59+s4KcInFYu7NRtUiLpWkpqbyXksTJkygnTt3ElHF28A3KwGfOXOGBgwYoJQtb/ZVxcXFdPToUXJzcyOJRKJUPyNEQbCPMTDr27cvV7Tr9evXJBaL5dLf3bx5U6njJESA9zEGZoaGhnLXz+vXr0lLS4t7GHTs2DEaPHiwUvYwGpa65Xf7wNHS0sL9+/cxaNCgGttFIhFvYvtevXohNja22tjXkJAQAICvr69StnTr1g3JyclcarKff/5ZLkXTs2fPlB7PrKamhlWrVuHkyZOYNGmS0kUHKpk1axbGjBkDNzc3aGtrIyIiAn///Tc3JvvOnTv44Ycf6qRZla5du8Lf3x9Tp07F1atXFX53+PDhCAoKwsCBAxEVFQUvLy+sXr0aeXl5EIlE2LZtGwYPHsz7m9OnT0dwcDB8fX1RXl4OfX19uWIXIpEIM2bM4NVp3bo10tLSap2UlZaWVm1MfE3UVghp2rRpmDBhglKFOEpLS9G8eXMAFQUUWrRoIZfZpH379nKFXGpj8eLFOHfuHDw9PeHl5QU3NzfedWpDJBIBqMgi8GaavR49euD58+cK1+/Tpw9OnjwJiUQCDQ0N/P3335BIJFx7dHQ0Pv30U1472rVrx42xzMzMRFlZGZ49e8Ydt/T0dN70j61bt8br16+5z8XFxSgrK+PGcorFYt7CSPb29pgzZw7mzp0LMzMzbmJtQUEBoqKisGLFCjg4OPBuj6amJgDUmsmkTZs2ShXz6NKlCxITE+XGnLZq1Qq7du2Cp6en0pkQ3N3dYWpqilmzZuHChQu8k6lrY8OGDWjZsiVUVFSqZXLJy8vjHe86ffp0rjCQg4MDVq5cieTkZK6v2rdvH7y9vXntqDxvq9K8eXM4OjrC0dERT548wa+//sqrU1kQzM3NDadOneIKgi1fvhwikUipgmBCFFICKu4DPj4+tY4vf/LkCXefUkRtRZm8vLwwefJkLF26lFejsLCQu97+53/+By1btpQruNOlSxdu7LkiwsPDsXv3bowaNQoLFiyAtbU17zpvUln4TV1dnSv8VrWPUabw25toa2tDW1sbc+fOxenTpxEZGQkvLy906dIFf/75p8J1Kwtwff75529dgEtVVVXuHFZRUUF5eTnKysoAVBTKSUtLq9M2MRqGf5WT7eXlhcLCwlrbe/TowTtJ0NbWFidPnqxx8khISAhkMhkOHTrEa8uYMWPkqky96cRdvnwZffv25dWpyrBhw2BkZIR79+7VKVvAp59+ymXwuHDhAogIMTExyMjIgIGBAQ4ePAgdHR1ena5duypMNSUSiWBhYaFQIyAggMsGMnr0aHh7e0MikWDNmjUoKiqCjY0Npk2bxmuLmpoaNmzYgJKSEpSVlVXrtCwtLXk1gP+rhunn54e+ffuiY8eOAComjF27dg1bt25Vykn9/PPPER8fLzchpWnTpti4cSOmTZsGHx8fXo3PPvsMKSkpXIrH9evXywViWVlZSqcTtLW1ha6uLgIDA3Hx4kXejDq1MWfOHKiqqqKsrAypqalyTlN2djZv7tlZs2Zh7NixeP78OVeZszKITUpKwqlTp7Bo0SJeOwYOHIjg4GA4Ojrizz//hKOjI1auXAmRSASRSITVq1fznnsWFhZYuXIlFi5cCFVVVaxbtw4aGhqco/zs2TPeCYtz586FTCbDd999V2u+7qCgIN7tGT58OIqLi2tt79ixo1IOsqWlJSIjI9G/f3+55WpqaggPD4eHhwevRiUaGhqIjIzE8uXL4ejoqJSTX5U+ffogKSkJAKCurl6tSt2lS5d4q08aGBhg586dcvUFtm3bBqCivsDUqVOVqi/AZ3vPnj3x3Xff8eoEBQUhMDAQCxYskMvzPmzYMG4S+LJlyxRqfIyBWefOnbmgFwBmz54tN9ExNzdX6ZoH9Q3wPsbAzMjICJs2bcLKlSvRrFkzrFu3Dt27d+eChbrsX0bDwrKLMBg87NixA3v37kV2djbX0RIROnbsiIkTJ2Ly5Mm8GkIUQgoLC8OXX35ZazrF9evXIzExEZs3b1Zyyyq2Y8eOHdi3bx9yc3Nx4sQJpYshvHmz69evH+zt7bnPq1evRnx8fI3bXJWnT59iw4YNuHjxIhcEN23aFNra2vDy8qr1zVNVCgsLsWLFCi4l5vfff499+/Zh/fr1KCsrQ58+fbBhwwaFTnJOTg78/Pxw9+5diEQidOnSBWFhYZzzcubMGWRlZWH8+PG89tQnX7eQNFTu77ctwKWIlJQUNGvWTOk8wfWpL5CWloauXbvW6DgJQV0KgglRSAkADh8+jKKiolqDjOzsbBw6dIjXSRaiKFNISAh0dHTg4uJSY/uOHTtw48YN7NixQ6EtVSkuLsby5csRHR2NlJSUOvVVQhR+k0gkuHLlSr3Pd0UFuICKAI+vAFdKSgo8PDy4LGctW7bExo0bYW5uDgD49ddfkZSUhJkzZ9bLVkb9YU42g6Ek9amG+S4KIRUVFaFJkyZ1SilYSX2ratZEYWEhmjRpwg1x4YPqUZmzNkpKSlBaWlon5zY5ORlSqfStKqYyGG/Lxx6YVSUlJQXNmzeXG0KiLPUJ8D6WwAyo6O9v3boFqVQKPT29eqVEZDQc/GWkGAwGAKB79+4wMDCAgYEB52A/e/ZMqdeXTZs2VXizzMrKQlhYWL3sy8vLw4IFC95qXW1tbUycOBFt27ZVepv4ePnyJRYuXKj090UiETp27IjOnTtzDnZ9bWnevDlatWpVJ50vvvgCvXv3rnajU1ajuLgYN27cwOPHj6u1lZSU4NixY0rZ0Zh0mC0Nq5OQkIDff/8dnTp1goODAzQ0NHD69GksW7YMUVFRStlRqRMZGYmEhATu84IFCzB37lylddq2bQsVFZVadWJjY5VysBXZkpqaqrSD/abOF198geLiYqxdu1bpbarUyMvLg56eHtq0aYOdO3fWab9069YNiYmJ9d6/Ve1JTEzkPoeHhyMiIgLXr19XSiM9PR0ZGRno0aMHOnTo8Na2MBqY9zLdksH4SFA29+y70GlMtgil86HZkpiYyKVDlEgkNG7cOMrIyODalU3xWZNOZmbme9FhtjSszqVLl0hLS4tMTExIR0eHLl26RH379iV3d3eaMGECaWhoVKuF0Nh1mC0fxjYxGh72LpTBUEBt1e4qSUlJeWc6jckWoXQ+NlvWrl2Lr7/+Gr/88gvy8/OxfPlyjB07Fvv27avTZOSadMaMGfNedJgtDauzZcsWeHp64rvvvsPJkye5bE+VEy9DQ0Oxc+dO3oqjjUmH2fJhbBPjHfC+vXwGozEjVLU7IXQaky0f4zY1pmJVjUmH2dKwOkIVJmtMOsyWD2ObGA0PG5PNYCigU6dO2Lx5M+Li4mr8O3r06DvTaUy2fIzbJIRGcXGx3FhukUiERYsWwdraGm5ubkhOTlZqexqTDrOl4XUqJ9OpqKhAVVVVLve+mpoa8vPzPzgdZkvD6ghlC6NhYU42g6GAygJGtaFMASOhdBqTLULpfGy2VBarepOQkBAMHDhQ6WJVjUmH2dKwOpWFySp528JkjUmH2dKwOkLZwmh4mJPNYCjAy8sLBgYGtbYrU8BIKJ3GZItQOh+bLZXFqmoiJCQEw4YNUypoaEw6zJaG1ampMFnVp+PKFiZrTDrMlobVEcoWRsPD8mQzGAwGg8FgMBgCw55kMxgMBoPBYDAYAsOcbAaDwWAwGAwGQ2CYk81gMBgMBoPBYAgMc7IZDAaDwWAwGAyBYU42g8FgMBgMBoMhMMzJZjAYDAaDwWAwBIY52QwGg8FgMBgMhsAwJ5vBYDAYDAaDwRCY/wfzIGoZCiZopgAAAABJRU5ErkJggg==", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "def plot_distance_matrix_sorted(X_scaled, labels, max_points=400, title=\"Distance matrix\"):\n", + " n = X_scaled.shape[0]\n", + " idx = np.arange(n)\n", + "\n", + " if n > max_points:\n", + " rng = np.random.default_rng(42)\n", + " idx = rng.choice(idx, size=max_points, replace=False)\n", + "\n", + " X_sub = X_scaled[idx]\n", + " labels_sub = np.asarray(labels)[idx]\n", + "\n", + " order = np.lexsort((np.arange(len(labels_sub)), labels_sub))\n", + " X_sub = X_sub[order]\n", + "\n", + " D = pairwise_distances(X_sub)\n", + "\n", + " plt.figure(figsize=(8, 7))\n", + " sns.heatmap(D, cmap=\"viridis\")\n", + " plt.title(title)\n", + " plt.tight_layout()\n", + " plt.show()\n", + "\n", + "for k in [2, 5, 10]:\n", + " plot_distance_matrix_sorted(\n", + " X_scaled,\n", + " dfc[f\"cluster_k{k}\"].values,\n", + " title=f\"Distance matrix triée — K={k}\"\n", + " )" + ] + }, + { + "cell_type": "code", + "execution_count": 51, + "id": "3c052322-6566-4567-b084-81148fa65538", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "def intra_inter_distances(X_scaled, labels):\n", + " D = pairwise_distances(X_scaled)\n", + " labels = np.asarray(labels)\n", + "\n", + " intra, inter = [], []\n", + " n = len(labels)\n", + "\n", + " for i in range(n):\n", + " for j in range(i+1, n):\n", + " if labels[i] == labels[j]:\n", + " intra.append(D[i, j])\n", + " else:\n", + " inter.append(D[i, j])\n", + "\n", + " return np.array(intra), np.array(inter)\n", + "\n", + "for k in [2, 5]:\n", + " intra, inter = intra_inter_distances(X_scaled, dfc[f\"cluster_k{k}\"].values)\n", + "\n", + " plt.figure(figsize=(8, 4))\n", + " sns.kdeplot(intra, label=\"Intra-cluster\", fill=True)\n", + " sns.kdeplot(inter, label=\"Inter-cluster\", fill=True)\n", + " plt.title(f\"Distances dans l'espace original — K={k}\")\n", + " plt.xlabel(\"Distance\")\n", + " plt.legend()\n", + " plt.tight_layout()\n", + " plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 52, + "id": "b4a85ccf-34e1-4788-adfc-35da95ba774f", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "churn_hard 0.813586\n", + "churn_soft 0.847705\n", + "churn_warning 0.404880\n", + "dtype: float64" + ] + }, + "execution_count": 52, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "dfc[\"churn_hard\"] = (dfc[\"aum_final_to_peak\"] < 0.10).astype(int)\n", + "\n", + "dfc[\"churn_soft\"] = (\n", + " (dfc[\"aum_final_to_peak\"] < 0.40) &\n", + " (dfc[\"aum_drawdown_last\"] > 0.40)\n", + ").astype(int)\n", + "\n", + "dfc[\"churn_warning\"] = (\n", + " (dfc[\"flow_direction_balance\"] < 0) &\n", + " (dfc[\"aum_drawdown_last\"] > 0.20)\n", + ").astype(int)\n", + "\n", + "dfc[[\"churn_hard\", \"churn_soft\", \"churn_warning\"]].mean()" + ] + }, + { + "cell_type": "code", + "execution_count": 53, + "id": "e990eea6-b569-4fe9-9196-42ec4ccc0e17", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "===== CHURN PAR CLUSTER K=2 =====\n" + ] + }, + { + "data": { + "text/html": [ + "
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n_clientschurn_hard_ratechurn_soft_ratechurn_warning_rate
cluster_k2
096670.8136960.8477290.404986
150.6000000.8000000.200000
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" + ], + "text/plain": [ + " n_clients churn_hard_rate churn_soft_rate churn_warning_rate\n", + "cluster_k2 \n", + "0 9667 0.813696 0.847729 0.404986\n", + "1 5 0.600000 0.800000 0.200000" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "===== CHURN PAR CLUSTER K=5 =====\n" + ] + }, + { + "data": { + "text/html": [ + "
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n_clientschurn_hard_ratechurn_soft_ratechurn_warning_rate
cluster_k5
096650.8137610.8476980.404966
121.0000001.0000000.500000
220.5000000.5000000.000000
420.5000001.0000000.500000
310.0000001.0000000.000000
\n", + "
" + ], + "text/plain": [ + " n_clients churn_hard_rate churn_soft_rate churn_warning_rate\n", + "cluster_k5 \n", + "0 9665 0.813761 0.847698 0.404966\n", + "1 2 1.000000 1.000000 0.500000\n", + "2 2 0.500000 0.500000 0.000000\n", + "4 2 0.500000 1.000000 0.500000\n", + "3 1 0.000000 1.000000 0.000000" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "for k in [2, 5]:\n", + " out = (\n", + " dfc.groupby(f\"cluster_k{k}\")\n", + " .agg(\n", + " n_clients=(ID_COL, \"count\"),\n", + " churn_hard_rate=(\"churn_hard\", \"mean\"),\n", + " churn_soft_rate=(\"churn_soft\", \"mean\"),\n", + " churn_warning_rate=(\"churn_warning\", \"mean\")\n", + " )\n", + " .sort_values(\"n_clients\", ascending=False)\n", + " )\n", + " print(f\"\\n===== CHURN PAR CLUSTER K={k} =====\")\n", + " display(out)" + ] + }, + { + "cell_type": "code", + "execution_count": 54, + "id": "4ad61286-89b0-473f-811d-f3affee994f0", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "===== NIVEAU 2 / EXPLICATION — K=2 =====\n" + ] + }, + { + "data": { + "text/html": [ + "
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n_clientsdelta_rate_mean_med
cluster_k2
09667-0.004346
150.022432
\n", + "
" + ], + "text/plain": [ + " n_clients delta_rate_mean_med\n", + "cluster_k2 \n", + "0 9667 -0.004346\n", + "1 5 0.022432" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "===== NIVEAU 2 / EXPLICATION — K=5 =====\n" + ] + }, + { + "data": { + "text/html": [ + "
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n_clientsdelta_rate_mean_med
cluster_k5
09665-0.004350
120.018078
220.013204
420.024369
310.051667
\n", + "
" + ], + "text/plain": [ + " n_clients delta_rate_mean_med\n", + "cluster_k5 \n", + "0 9665 -0.004350\n", + "1 2 0.018078\n", + "2 2 0.013204\n", + "4 2 0.024369\n", + "3 1 0.051667" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "#niv 2 explciation eocno \n", + "explain_vars = [\n", + " \"beta_rate\",\n", + " \"delta_rate_mean\",\n", + " \"aum_trend_12m\",\n", + " \"flow_trend_12m\",\n", + " \"drawdown_trend_12m\",\n", + "]\n", + "\n", + "explain_vars = [c for c in explain_vars if c in dfc.columns]\n", + "\n", + "for k in [2, 5]:\n", + " print(f\"\\n===== NIVEAU 2 / EXPLICATION — K={k} =====\")\n", + " out = (\n", + " dfc.groupby(f\"cluster_k{k}\")\n", + " .agg(\n", + " n_clients=(ID_COL, \"count\"),\n", + " **{f\"{c}_med\": (c, \"median\") for c in explain_vars}\n", + " )\n", + " .sort_values(\"n_clients\", ascending=False)\n", + " )\n", + " display(out)" + ] + }, + { + "cell_type": "code", + "execution_count": 55, + "id": "0ae8a553-1ec2-4789-8b6c-c70909495b18", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "for k in [2, 5]:\n", + " tmp = (\n", + " dfc.groupby(f\"cluster_k{k}\")\n", + " .agg(\n", + " churn_hard=(\"churn_hard\", \"mean\"),\n", + " churn_soft=(\"churn_soft\", \"mean\"),\n", + " churn_warning=(\"churn_warning\", \"mean\")\n", + " )\n", + " )\n", + "\n", + " tmp.plot(kind=\"bar\", figsize=(8, 4))\n", + " plt.title(f\"Churn par cluster — K={k}\")\n", + " plt.ylabel(\"Rate\")\n", + " plt.tight_layout()\n", + " plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "5fc62ca1-a145-4669-8798-33d72352d4d5", + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.13.12" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/brouillon/.ipynb_checkpoints/detected_code_changes-checkpoint.csv b/brouillon/.ipynb_checkpoints/detected_code_changes-checkpoint.csv new file mode 100644 index 0000000..d8f3629 --- /dev/null +++ b/brouillon/.ipynb_checkpoints/detected_code_changes-checkpoint.csv @@ -0,0 +1,6503 @@ +date,old_code,new_code,portfolio_error +2015-02-28,200001285,200001992,0.09002792124184428 +2015-02-28,200001771,420304,0.04997861420017094 +2015-02-28,200001833,100000014,0.0 +2015-02-28,200001894,366541,0.21514599121187042 +2015-02-28,200002004,100000014,0.0 +2015-02-28,200002051,100000014,0.0 +2015-02-28,200002060,100000014,0.0 +2015-02-28,200002064,412736,0.21082714285714285 +2015-02-28,200002109,406337,0.1732755748083972 +2015-02-28,200002180,100000014,0.0 +2015-02-28,200002181,418898,0.037672797117347945 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+LU0992630243 +LU1966631001 +LU2420652633 +LU1299311164 +LU1966630706 +LU0992629070 +LU0992624949 +LU2427320812 +LU0553407650 +LU2420652476 +LU2715954504 +FR0011269570 +LU2809794493 +LU0592699093 +LU0807689665 +FR0011269349 +LU2277146382 +LU3133502156 +FR0010149179 +LU2420651155 +LU3149200746 +GB00BMGLBK75 +LU0992626993 +LU1623762330 +LU0992629153 +FR0010149302 +LU1792392307 +LU0992626308 +FR0011269182 +LU2638444914 diff --git a/brouillon/.ipynb_checkpoints/isin_missing_nav-checkpoint.csv b/brouillon/.ipynb_checkpoints/isin_missing_nav-checkpoint.csv new file mode 100644 index 0000000..5b2ac1e --- /dev/null +++ b/brouillon/.ipynb_checkpoints/isin_missing_nav-checkpoint.csv @@ -0,0 +1,77 @@ +isin +LU2251305319 +LU1299310356 +LU2278971804 +LU1910837415 +LU1792392562 +LU1299310943 +LU1299309853 +LU1720515706 +LU1910837506 +FR0011365873 +FR001400DXJ6 +LU0992625672 +LU1122113498 +LU1048598525 +LU1046327422 +LU0807690598 +LU0553414516 +LU1122119347 +LU2125044839 +LU1299307212 +LU0992625599 +LU2721494966 +LU1046327182 +LU1299309341 +LU1122116673 +LU1299303906 +LU2544562502 +LU1720511549 +LU0992625755 +LU1910837258 +LU2125044326 +LU1299308707 +LU1299307725 +LU1299310190 +FR0010149096 +LU1046327265 +LU1046327349 +LU1299308020 +LU1126269643 +LU1720513321 +LU1126269999 +LU1046327000 +LU3124376941 +LU2721495005 +LU1299304540 +LU0807690325 +LU1299304896 +LU2251305400 +LU2721495427 +LU2721495260 +FR0010149278 +LU1048598442 +LU0109929157 +MAPFRECG0001 +LU1299308533 +LU1792392646 +LU1720511895 +LU1299307485 +LU0992625326 +LU0413372060 +LU1299304201 +LU2250732448 +LU1299308376 +LU1299301017 +LU1122076430 +LU1623762686 +LU1299300803 +LU1910837332 +LU1720513677 +LU1122072793 +LU1720515615 +LU1299310604 +LU2250732281 +LU2251305236 +FR0000999999 +LU0280656397 diff --git a/brouillon/.ipynb_checkpoints/isin_stocks_only-checkpoint.csv b/brouillon/.ipynb_checkpoints/isin_stocks_only-checkpoint.csv new file mode 100644 index 0000000..d1ab2d3 --- /dev/null +++ b/brouillon/.ipynb_checkpoints/isin_stocks_only-checkpoint.csv @@ -0,0 +1,18 @@ +isin +FR0011269141 +FR0011269166 +LU0413372060 +FR0011269372 +LU0807689236 +LU0807690325 +IE00084T1EH2 +LU2427320655 +FR0011269174 +FR0010149278 +IE000NNU0CA7 +LU0109929157 +LU0807690598 +LU0553414516 +FR0000999999 +FR0010149096 +LU0280656397 diff --git a/brouillon/.ipynb_checkpoints/repair-checkpoint.ipynb b/brouillon/.ipynb_checkpoints/repair-checkpoint.ipynb new file mode 100644 index 0000000..7603a25 --- /dev/null +++ b/brouillon/.ipynb_checkpoints/repair-checkpoint.ipynb @@ -0,0 +1,2987 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "id": "29f7e620-7b04-45f6-ac87-f17505f140c3", + "metadata": {}, + "outputs": [], + "source": [ + "import pandas as pd\n", + "import numpy as np\n", + "import plotly.graph_objects as go\n", + "import matplotlib.pyplot as plt" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "a48ad016-e4f2-40d9-a607-344a316f5f02", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "\n", + "KeyboardInterrupt\n", + "\n" + ] + } + ], + "source": [ + "stocks = pd.read_csv(\"stocks.csv\")\n", + "flows = pd.read_csv(\"flows.csv\")\n", + "\n", + "stocks[\"Centralisation Date\"] = pd.to_datetime(stocks[\"Centralisation Date\"])\n", + "flows[\"Centralisation Date\"] = pd.to_datetime(flows[\"Centralisation Date\"])" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "id": "221a4c7b-0f50-431a-875b-ad40bed7f0ac", + "metadata": {}, + "outputs": [], + "source": [ + "import os\n", + "import s3fs\n", + "os.environ[\"AWS_ACCESS_KEY_ID\"] = 'N0C5PK75FDX2WXI8OVP1'\n", + "os.environ[\"AWS_SECRET_ACCESS_KEY\"] = 'nZvC2urUkG7EvhDsFDyaOslqr160aoWMs+5MP3Ft'\n", + "os.environ[\"AWS_SESSION_TOKEN\"] = 'eyJhbGciOiJIUzUxMiIsInR5cCI6IkpXVCJ9.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.hl_SekvaH9A22PMb3W0VQBSNO67LnaneIuLC-X5XBnzOO5GLV61aocDRfYC6hvVVhdzyewSTtD2kvdyJdeu6qA'\n", + "os.environ[\"AWS_DEFAULT_REGION\"] = 'us-east-1'\n", + "fs = s3fs.S3FileSystem(\n", + " client_kwargs={'endpoint_url': 'https://'+'minio-simple.lab.groupe-genes.fr'},\n", + " key = os.environ[\"AWS_ACCESS_KEY_ID\"], \n", + " secret = os.environ[\"AWS_SECRET_ACCESS_KEY\"], \n", + " token = os.environ[\"AWS_SESSION_TOKEN\"])\n" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "id": "87505949-ecd8-4fad-a19b-d29130be587e", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Index(['Registrar Account - ID', 'Product - Isin', 'Centralisation Date',\n", + " 'Quantity - AUM', 'corrected_aum', 'repair_flag'],\n", + " dtype='object')\n" + ] + } + ], + "source": [ + "print(stocks.columns)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "3c6d9d05-b203-49ae-869f-7f85ead2c69e", + "metadata": {}, + "outputs": [], + "source": [ + "keys = [\n", + " \"Registrar Account - ID\",\n", + " \"Product - Isin\",\n", + " \"Centralisation Date\"\n", + "]\n", + "\n", + "stocks = stocks[keys + [\"Quantity - AUM\"]]\n", + "\n", + "flows = flows[keys + [\"Quantity - NetFlows\"]]\n", + "\n", + "flows = (\n", + " flows\n", + " .groupby(keys, as_index=False)\n", + " .sum()\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "d30c2235-281b-41a6-828b-abb6fcfc4183", + "metadata": {}, + "outputs": [], + "source": [ + "df = stocks.merge(flows, on=keys, how=\"left\")\n", + "\n", + "df[\"Quantity - NetFlows\"] = df[\"Quantity - NetFlows\"].fillna(0)\n", + "\n", + "df = df.sort_values(keys)\n", + "\n", + "\n", + "\n", + "# REBUILD ACCOUNTING IDENTITY\n", + "\n", + "\n", + "df[\"prev_aum\"] = df.groupby(\n", + " [\"Registrar Account - ID\",\"Product - Isin\"]\n", + ")[\"Quantity - AUM\"].shift(1)\n", + "\n", + "df[\"prev_flow\"] = df.groupby(\n", + " [\"Registrar Account - ID\",\"Product - Isin\"]\n", + ")[\"Quantity - NetFlows\"].shift(1).fillna(0)\n", + "\n", + "df[\"expected_aum\"] = df[\"prev_aum\"] + df[\"prev_flow\"]\n", + "\n", + "\n", + "\n", + "# GAP ANALYSIS\n", + "\n", + "\n", + "df[\"gap\"] = df[\"Quantity - AUM\"] - df[\"expected_aum\"]\n", + "df[\"gap_abs\"] = df[\"gap\"].abs()\n", + "\n", + "EPS = 10\n", + "\n", + "df[\"rupture_flag\"] = (\n", + " df[\"prev_aum\"].notna()\n", + " & (df[\"gap_abs\"] > EPS)\n", + ")\n", + "\n", + "\n", + "\n", + "# PARAMETERS\n", + "\n", + "\n", + "GAP_TOL = 1e-6\n", + "REL_GAP_THR = 0.05\n", + "MIN_PERSISTENCE = 3\n", + "\n", + "\n", + "\n", + "# SORT DATA\n", + "\n", + "\n", + "df = df.sort_values(\n", + " [\"Registrar Account - ID\", \"Product - Isin\", \"Centralisation Date\"]\n", + ")\n", + "\n", + "df[\"corrected_aum\"] = df[\"Quantity - AUM\"]\n", + "df[\"repair_flag\"] = False\n", + "\n", + "\n", + "# REBUILD EXPECTED AUM BEFORE REPAIR\n", + "\n", + "\n", + "df = df.sort_values(\n", + " [\"Registrar Account - ID\", \"Product - Isin\", \"Centralisation Date\"]\n", + ")\n", + "\n", + "df[\"prev_aum\"] = (\n", + " df.groupby([\"Registrar Account - ID\",\"Product - Isin\"])\n", + " [\"Quantity - AUM\"]\n", + " .shift(1)\n", + ")\n", + "\n", + "df[\"prev_flow\"] = (\n", + " df.groupby([\"Registrar Account - ID\",\"Product - Isin\"])\n", + " [\"Quantity - NetFlows\"]\n", + " .shift(1)\n", + " .fillna(0)\n", + ")\n", + "\n", + "df[\"expected_stock\"] = df[\"prev_aum\"] + df[\"prev_flow\"]\n", + "\n", + "#delete negative AUM\n", + "df = df[df[\"Quantity - AUM\"] >= 0]" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "efd374d0-6393-45f2-926e-2c29249cd078", + "metadata": {}, + "outputs": [], + "source": [ + "def repair_group(g):\n", + "\n", + " g = g.copy()\n", + "\n", + " obs = g[\"Quantity - AUM\"].values\n", + " flows = g[\"Quantity - NetFlows\"].values\n", + "\n", + " corrected = obs.copy()\n", + "\n", + " \n", + " # Build expected AUM path\n", + " \n", + "\n", + " expected = np.empty_like(obs)\n", + " expected[0] = np.nan\n", + "\n", + " for t in range(1, len(obs)):\n", + " expected[t] = corrected[t-1] + flows[t-1]\n", + "\n", + " gap = obs - expected\n", + "\n", + " rel_gap = np.abs(gap) / np.maximum(np.abs(expected), 1.0)\n", + "\n", + " idx = None\n", + "\n", + " \n", + " # Detect persistent shift\n", + " \n", + "\n", + " for i in range(1, len(obs) - MIN_PERSISTENCE):\n", + "\n", + " if (\n", + " rel_gap[i] > REL_GAP_THR\n", + " and np.all(np.abs(gap[i:i+MIN_PERSISTENCE] - gap[i]) < GAP_TOL)\n", + " and np.all(np.abs(np.diff(flows[i:i+MIN_PERSISTENCE])) < GAP_TOL)\n", + " ):\n", + " idx = i\n", + " break\n", + "\n", + " if idx is None:\n", + " return g\n", + "\n", + " \n", + " # Compute shift\n", + " \n", + "\n", + " shift = gap[idx]\n", + "\n", + " candidate = obs[idx:] - shift\n", + "\n", + " \n", + " # SAFETY CHECKS\n", + " \n", + "\n", + " # 1. do not allow negative AUM\n", + " # refuse repair if it creates NEW negative AUM\n", + " if ((candidate < 0) & (obs[idx:] >= 0)).any():\n", + " return g\n", + "\n", + " # 2. avoid extreme corrections\n", + " if abs(shift) > 2 * np.nanmax(np.abs(obs)):\n", + " return g\n", + "\n", + " \n", + " # Apply correction\n", + " \n", + "\n", + " corrected[idx:] = candidate\n", + "\n", + " g.loc[g.index[idx]:, \"repair_flag\"] = True\n", + "\n", + " \n", + " # Rebuild expected path after repair\n", + " \n", + "\n", + " expected_corr = np.empty_like(obs)\n", + " expected_corr[0] = np.nan\n", + "\n", + " for t in range(1, len(obs)):\n", + " expected_corr[t] = corrected[t-1] + flows[t-1]\n", + "\n", + " g[\"corrected_aum\"] = corrected\n", + " g[\"expected_stock_corr\"] = expected_corr\n", + "\n", + " return g" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "fe1f869c-0a00-47e0-9355-3705b23561c7", + "metadata": {}, + "outputs": [], + "source": [ + "def repair_group(g):\n", + "\n", + " g = g.copy()\n", + "\n", + " obs = g[\"Quantity - AUM\"].values\n", + " flows = g[\"Quantity - NetFlows\"].values\n", + "\n", + " corrected = obs.copy()\n", + "\n", + " # Build expected AUM path\n", + " expected = np.empty_like(obs)\n", + " expected[0] = np.nan\n", + "\n", + " for t in range(1, len(obs)):\n", + " expected[t] = corrected[t-1] + flows[t-1]\n", + "\n", + " gap = obs - expected\n", + " rel_gap = np.abs(gap) / np.maximum(np.abs(expected), 1.0)\n", + "\n", + " idx = None\n", + " shift = None\n", + "\n", + " for i in range(1, len(obs) - MIN_PERSISTENCE - 1):\n", + "\n", + " # ------------------------------------------------\n", + " # CASE 1 — standard persistent shift (original algo)\n", + " # ------------------------------------------------\n", + " if (\n", + " rel_gap[i] > REL_GAP_THR\n", + " and np.all(np.abs(gap[i:i+MIN_PERSISTENCE] - gap[i]) < GAP_TOL)\n", + " and np.all(np.abs(np.diff(flows[i:i+MIN_PERSISTENCE])) < GAP_TOL)\n", + " ):\n", + " idx = i\n", + " shift = gap[i]\n", + " break\n", + "\n", + " # ------------------------------------------------\n", + " # CASE 2 — double shift\n", + " # ------------------------------------------------\n", + " if (\n", + " rel_gap[i] > REL_GAP_THR\n", + " and rel_gap[i+1] > REL_GAP_THR\n", + " and np.all(np.abs(gap[i+1:i+1+MIN_PERSISTENCE] - gap[i+1]) < GAP_TOL)\n", + " and np.all(np.abs(np.diff(flows[i+1:i+1+MIN_PERSISTENCE])) < GAP_TOL)\n", + " ):\n", + " idx = i\n", + " shift = gap[i+1]\n", + " break\n", + "\n", + " if idx is None:\n", + " return g\n", + "\n", + " # Apply shift\n", + " candidate = obs[idx:] - shift\n", + "\n", + " # Safety checks\n", + "\n", + " # avoid creating new negative AUM\n", + " if ((candidate < 0) & (obs[idx:] >= 0)).any():\n", + " return g\n", + "\n", + " # avoid extreme corrections\n", + " if abs(shift) > 2 * np.nanmax(np.abs(obs)):\n", + " return g\n", + "\n", + " corrected[idx:] = candidate\n", + "\n", + " g.loc[g.index[idx]:, \"repair_flag\"] = True\n", + "\n", + " # rebuild expected path after repair\n", + " expected_corr = np.empty_like(obs)\n", + " expected_corr[0] = np.nan\n", + "\n", + " for t in range(1, len(obs)):\n", + " expected_corr[t] = corrected[t-1] + flows[t-1]\n", + "\n", + " g[\"corrected_aum\"] = corrected\n", + " g[\"expected_stock_corr\"] = expected_corr\n", + "\n", + " return g" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "id": "1ca2a5ab-354f-49af-b1aa-75c93d48de06", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/tmp/ipykernel_5465/2911292439.py:10: DtypeWarning: Columns (0,1,2,3) have mixed types. Specify dtype option on import or set low_memory=False.\n", + " stocks = pd.read_csv(f, sep=\";\")\n", + "/tmp/ipykernel_5465/2911292439.py:16: DtypeWarning: Columns (0,1,2,3) have mixed types. Specify dtype option on import or set low_memory=False.\n", + " flows = pd.read_csv(f, sep=\";\")\n", + "/tmp/ipykernel_5465/2911292439.py:127: FutureWarning: DataFrameGroupBy.apply operated on the grouping columns. This behavior is deprecated, and in a future version of pandas the grouping columns will be excluded from the operation. Either pass `include_groups=False` to exclude the groupings or explicitly select the grouping columns after groupby to silence this warning.\n", + " .apply(repair_group)\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "stock_repaired.csv successfully created\n" + ] + } + ], + "source": [ + "#FULL STOCK REPAIR\n", + "\n", + "# ============================================================\n", + "# LOAD DATA\n", + "# ============================================================\n", + "\n", + "with fs.open('projet-bdc-data/carmignac/AUM ENSAE V2 -20251105.csv', 'rb') as f:\n", + " stocks = pd.read_csv(f, sep=\";\")\n", + "\n", + "with fs.open(\n", + " \"projet-bdc-data/carmignac/Flows ENSAE V2 -20251105.csv\",\n", + " \"rb\"\n", + ") as f:\n", + " flows = pd.read_csv(f, sep=\";\")\n", + "\n", + "stocks[\"Centralisation Date\"] = pd.to_datetime(stocks[\"Centralisation Date\"])\n", + "flows[\"Centralisation Date\"] = pd.to_datetime(flows[\"Centralisation Date\"])\n", + "\n", + "# ============================================================\n", + "# MERGE FLOWS\n", + "# ============================================================\n", + "\n", + "df = stocks.merge(\n", + " flows,\n", + " on=[\"Registrar Account - ID\",\"Product - Isin\",\"Centralisation Date\"],\n", + " how=\"left\"\n", + ")\n", + "\n", + "df[\"Quantity - NetFlows\"] = df[\"Quantity - NetFlows\"].fillna(0)\n", + "\n", + "df = df.sort_values(\n", + " [\"Registrar Account - ID\",\"Product - Isin\",\"Centralisation Date\"]\n", + ")\n", + "\n", + "# ============================================================\n", + "# PARAMETERS\n", + "# ============================================================\n", + "\n", + "REL_GAP_THR = 0.3\n", + "MIN_PERSISTENCE = 3\n", + "GAP_TOL = 1e-6\n", + "\n", + "# ============================================================\n", + "# REPAIR FUNCTION\n", + "# ============================================================\n", + "\n", + "def repair_group(g):\n", + "\n", + " g = g.copy()\n", + "\n", + " obs = g[\"Quantity - AUM\"].values\n", + " flows = g[\"Quantity - NetFlows\"].values\n", + "\n", + " corrected = obs.copy()\n", + "\n", + " expected = np.empty_like(obs)\n", + " expected[0] = np.nan\n", + "\n", + " for t in range(1, len(obs)):\n", + " expected[t] = corrected[t-1] + flows[t-1]\n", + "\n", + " gap = obs - expected\n", + " rel_gap = np.abs(gap) / np.maximum(np.abs(expected), 1.0)\n", + "\n", + " idx = None\n", + " shift = None\n", + "\n", + " for i in range(1, len(obs) - MIN_PERSISTENCE - 1):\n", + "\n", + " # CASE 1 — persistent shift\n", + " if (\n", + " rel_gap[i] > REL_GAP_THR\n", + " and np.all(np.abs(gap[i:i+MIN_PERSISTENCE] - gap[i]) < GAP_TOL)\n", + " and np.all(np.abs(np.diff(flows[i:i+MIN_PERSISTENCE])) < GAP_TOL)\n", + " ):\n", + " idx = i\n", + " shift = gap[i]\n", + " break\n", + "\n", + " # CASE 2 — double shift\n", + " if (\n", + " rel_gap[i] > REL_GAP_THR\n", + " and rel_gap[i+1] > REL_GAP_THR\n", + " and np.all(np.abs(gap[i+1:i+1+MIN_PERSISTENCE] - gap[i+1]) < GAP_TOL)\n", + " and np.all(np.abs(np.diff(flows[i+1:i+1+MIN_PERSISTENCE])) < GAP_TOL)\n", + " ):\n", + " idx = i\n", + " shift = gap[i+1]\n", + " break\n", + "\n", + " if idx is None:\n", + " return g\n", + "\n", + " candidate = obs[idx:] - shift\n", + "\n", + " if ((candidate < 0) & (obs[idx:] >= 0)).any():\n", + " return g\n", + "\n", + " if abs(shift) > 2 * np.nanmax(np.abs(obs)):\n", + " return g\n", + "\n", + " corrected[idx:] = candidate\n", + "\n", + " g.loc[g.index[idx]:, \"repair_flag\"] = True\n", + "\n", + " expected_corr = np.empty_like(obs)\n", + " expected_corr[0] = np.nan\n", + "\n", + " for t in range(1, len(obs)):\n", + " expected_corr[t] = corrected[t-1] + flows[t-1]\n", + "\n", + " g[\"corrected_aum\"] = corrected\n", + "\n", + " return g\n", + "\n", + "# ============================================================\n", + "# APPLY REPAIR\n", + "# ============================================================\n", + "\n", + "df_repaired = (\n", + " df.groupby(\n", + " [\"Registrar Account - ID\",\"Product - Isin\"],\n", + " group_keys=False\n", + " )\n", + " .apply(repair_group)\n", + ")\n", + "\n", + "# ============================================================\n", + "# REBUILD STOCK FILE\n", + "# ============================================================\n", + "\n", + "stocks_repaired = stocks.copy()\n", + "\n", + "stocks_repaired[\"Quantity - AUM\"] = df_repaired[\"corrected_aum\"].fillna(\n", + " stocks[\"Quantity - AUM\"]\n", + ")\n", + "\n", + "# ============================================================\n", + "# SAVE WITH ORIGINAL FORMAT\n", + "# ============================================================\n", + "\n", + "stocks_repaired.to_csv(\n", + " \"stock_repaired.csv\",\n", + " sep=\";\",\n", + " index=False\n", + ")\n", + "\n", + "print(\"stock_repaired.csv successfully created\")" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "id": "f94f07b4-e053-4828-bbb1-3697f9a11751", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/tmp/ipykernel_5465/3656779442.py:4: FutureWarning: DataFrameGroupBy.apply operated on the grouping columns. This behavior is deprecated, and in a future version of pandas the grouping columns will be excluded from the operation. Either pass `include_groups=False` to exclude the groupings or explicitly select the grouping columns after groupby to silence this warning.\n", + " .apply(repair_group)\n" + ] + }, + { + "ename": "KeyError", + "evalue": "'expected_stock_corr'", + "output_type": "error", + "traceback": [ + "\u001b[31m---------------------------------------------------------------------------\u001b[39m", + "\u001b[31mKeyError\u001b[39m Traceback (most recent call last)", + "\u001b[36mFile \u001b[39m\u001b[32m/opt/python/lib/python3.13/site-packages/pandas/core/indexes/base.py:3812\u001b[39m, in \u001b[36mIndex.get_loc\u001b[39m\u001b[34m(self, key)\u001b[39m\n\u001b[32m 3811\u001b[39m \u001b[38;5;28;01mtry\u001b[39;00m:\n\u001b[32m-> \u001b[39m\u001b[32m3812\u001b[39m \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[38;5;28;43mself\u001b[39;49m\u001b[43m.\u001b[49m\u001b[43m_engine\u001b[49m\u001b[43m.\u001b[49m\u001b[43mget_loc\u001b[49m\u001b[43m(\u001b[49m\u001b[43mcasted_key\u001b[49m\u001b[43m)\u001b[49m\n\u001b[32m 3813\u001b[39m \u001b[38;5;28;01mexcept\u001b[39;00m \u001b[38;5;167;01mKeyError\u001b[39;00m \u001b[38;5;28;01mas\u001b[39;00m err:\n", + "\u001b[36mFile \u001b[39m\u001b[32mpandas/_libs/index.pyx:167\u001b[39m, in \u001b[36mpandas._libs.index.IndexEngine.get_loc\u001b[39m\u001b[34m()\u001b[39m\n", + "\u001b[36mFile \u001b[39m\u001b[32mpandas/_libs/index.pyx:196\u001b[39m, in \u001b[36mpandas._libs.index.IndexEngine.get_loc\u001b[39m\u001b[34m()\u001b[39m\n", + "\u001b[36mFile \u001b[39m\u001b[32mpandas/_libs/hashtable_class_helper.pxi:7088\u001b[39m, in \u001b[36mpandas._libs.hashtable.PyObjectHashTable.get_item\u001b[39m\u001b[34m()\u001b[39m\n", + "\u001b[36mFile \u001b[39m\u001b[32mpandas/_libs/hashtable_class_helper.pxi:7096\u001b[39m, in \u001b[36mpandas._libs.hashtable.PyObjectHashTable.get_item\u001b[39m\u001b[34m()\u001b[39m\n", + "\u001b[31mKeyError\u001b[39m: 'expected_stock_corr'", + "\nThe above exception was the direct cause of the following exception:\n", + "\u001b[31mKeyError\u001b[39m Traceback (most recent call last)", + "\u001b[36mCell\u001b[39m\u001b[36m \u001b[39m\u001b[32mIn[15]\u001b[39m\u001b[32m, line 25\u001b[39m\n\u001b[32m 22\u001b[39m df[\u001b[33m\"\u001b[39m\u001b[33mexpected_stock\u001b[39m\u001b[33m\"\u001b[39m] = df[\u001b[33m\"\u001b[39m\u001b[33mprev_aum\u001b[39m\u001b[33m\"\u001b[39m] + df[\u001b[33m\"\u001b[39m\u001b[33mprev_flow\u001b[39m\u001b[33m\"\u001b[39m]\n\u001b[32m 23\u001b[39m df[\u001b[33m\"\u001b[39m\u001b[33mgap_before\u001b[39m\u001b[33m\"\u001b[39m] = df[\u001b[33m\"\u001b[39m\u001b[33mQuantity - AUM\u001b[39m\u001b[33m\"\u001b[39m] - df[\u001b[33m\"\u001b[39m\u001b[33mexpected_stock\u001b[39m\u001b[33m\"\u001b[39m]\n\u001b[32m---> \u001b[39m\u001b[32m25\u001b[39m df[\u001b[33m\"\u001b[39m\u001b[33mgap_after\u001b[39m\u001b[33m\"\u001b[39m] = df[\u001b[33m\"\u001b[39m\u001b[33mcorrected_aum\u001b[39m\u001b[33m\"\u001b[39m] - \u001b[43mdf\u001b[49m\u001b[43m[\u001b[49m\u001b[33;43m\"\u001b[39;49m\u001b[33;43mexpected_stock_corr\u001b[39;49m\u001b[33;43m\"\u001b[39;49m\u001b[43m]\u001b[49m\n\u001b[32m 27\u001b[39m df[\u001b[33m\"\u001b[39m\u001b[33mrupture_before\u001b[39m\u001b[33m\"\u001b[39m] = df[\u001b[33m\"\u001b[39m\u001b[33mgap_before\u001b[39m\u001b[33m\"\u001b[39m].abs() > GAP_TOL\n\u001b[32m 29\u001b[39m df[\u001b[33m\"\u001b[39m\u001b[33mrupture_after\u001b[39m\u001b[33m\"\u001b[39m] = df[\u001b[33m\"\u001b[39m\u001b[33mgap_after\u001b[39m\u001b[33m\"\u001b[39m].abs() > GAP_TOL\n", + "\u001b[36mFile \u001b[39m\u001b[32m/opt/python/lib/python3.13/site-packages/pandas/core/frame.py:4113\u001b[39m, in \u001b[36mDataFrame.__getitem__\u001b[39m\u001b[34m(self, key)\u001b[39m\n\u001b[32m 4111\u001b[39m \u001b[38;5;28;01mif\u001b[39;00m \u001b[38;5;28mself\u001b[39m.columns.nlevels > \u001b[32m1\u001b[39m:\n\u001b[32m 4112\u001b[39m \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[38;5;28mself\u001b[39m._getitem_multilevel(key)\n\u001b[32m-> \u001b[39m\u001b[32m4113\u001b[39m indexer = \u001b[38;5;28;43mself\u001b[39;49m\u001b[43m.\u001b[49m\u001b[43mcolumns\u001b[49m\u001b[43m.\u001b[49m\u001b[43mget_loc\u001b[49m\u001b[43m(\u001b[49m\u001b[43mkey\u001b[49m\u001b[43m)\u001b[49m\n\u001b[32m 4114\u001b[39m \u001b[38;5;28;01mif\u001b[39;00m is_integer(indexer):\n\u001b[32m 4115\u001b[39m indexer = [indexer]\n", + "\u001b[36mFile \u001b[39m\u001b[32m/opt/python/lib/python3.13/site-packages/pandas/core/indexes/base.py:3819\u001b[39m, in \u001b[36mIndex.get_loc\u001b[39m\u001b[34m(self, key)\u001b[39m\n\u001b[32m 3814\u001b[39m \u001b[38;5;28;01mif\u001b[39;00m \u001b[38;5;28misinstance\u001b[39m(casted_key, \u001b[38;5;28mslice\u001b[39m) \u001b[38;5;129;01mor\u001b[39;00m (\n\u001b[32m 3815\u001b[39m \u001b[38;5;28misinstance\u001b[39m(casted_key, abc.Iterable)\n\u001b[32m 3816\u001b[39m \u001b[38;5;129;01mand\u001b[39;00m \u001b[38;5;28many\u001b[39m(\u001b[38;5;28misinstance\u001b[39m(x, \u001b[38;5;28mslice\u001b[39m) \u001b[38;5;28;01mfor\u001b[39;00m x \u001b[38;5;129;01min\u001b[39;00m casted_key)\n\u001b[32m 3817\u001b[39m ):\n\u001b[32m 3818\u001b[39m \u001b[38;5;28;01mraise\u001b[39;00m InvalidIndexError(key)\n\u001b[32m-> \u001b[39m\u001b[32m3819\u001b[39m \u001b[38;5;28;01mraise\u001b[39;00m \u001b[38;5;167;01mKeyError\u001b[39;00m(key) \u001b[38;5;28;01mfrom\u001b[39;00m\u001b[38;5;250m \u001b[39m\u001b[34;01merr\u001b[39;00m\n\u001b[32m 3820\u001b[39m \u001b[38;5;28;01mexcept\u001b[39;00m \u001b[38;5;167;01mTypeError\u001b[39;00m:\n\u001b[32m 3821\u001b[39m \u001b[38;5;66;03m# If we have a listlike key, _check_indexing_error will raise\u001b[39;00m\n\u001b[32m 3822\u001b[39m \u001b[38;5;66;03m# InvalidIndexError. Otherwise we fall through and re-raise\u001b[39;00m\n\u001b[32m 3823\u001b[39m \u001b[38;5;66;03m# the TypeError.\u001b[39;00m\n\u001b[32m 3824\u001b[39m \u001b[38;5;28mself\u001b[39m._check_indexing_error(key)\n", + "\u001b[31mKeyError\u001b[39m: 'expected_stock_corr'" + ] + } + ], + "source": [ + "df = (\n", + " df\n", + " .groupby([\"Registrar Account - ID\", \"Product - Isin\"], group_keys=False)\n", + " .apply(repair_group)\n", + ")\n", + "\n", + "# VALIDATION BEFORE / AFTER\n", + "\n", + "df[\"prev_aum\"] = (\n", + " df.groupby([\"Registrar Account - ID\",\"Product - Isin\"])\n", + " [\"Quantity - AUM\"]\n", + " .shift(1)\n", + ")\n", + "\n", + "df[\"prev_flow\"] = (\n", + " df.groupby([\"Registrar Account - ID\",\"Product - Isin\"])\n", + " [\"Quantity - NetFlows\"]\n", + " .shift(1)\n", + " .fillna(0)\n", + ")\n", + "\n", + "df[\"expected_stock\"] = df[\"prev_aum\"] + df[\"prev_flow\"]\n", + "df[\"gap_before\"] = df[\"Quantity - AUM\"] - df[\"expected_stock\"]\n", + "\n", + "df[\"gap_after\"] = df[\"corrected_aum\"] - df[\"expected_stock_corr\"]\n", + "\n", + "df[\"rupture_before\"] = df[\"gap_before\"].abs() > GAP_TOL\n", + "\n", + "df[\"rupture_after\"] = df[\"gap_after\"].abs() > GAP_TOL\n", + "\n", + "\n", + "\n", + "# SUMMARY\n", + "\n", + "\n", + "summary = pd.DataFrame({\n", + " \"Before repair\": [df[\"rupture_before\"].sum()],\n", + " \"After repair\": [df[\"rupture_after\"].sum()],\n", + " \"Repaired points\": [df[\"repair_flag\"].sum()]\n", + "})\n", + "\n", + "print(summary)\n", + "\n", + "\n", + "\n", + "# BUILD REPAIRED DATASET\n", + "\n", + "\n", + "stocks_repaired = stocks.copy()\n", + "\n", + "repair_map = df[[\n", + " \"Registrar Account - ID\",\n", + " \"Product - Isin\",\n", + " \"Centralisation Date\",\n", + " \"corrected_aum\",\n", + " \"repair_flag\"\n", + "]]\n", + "\n", + "stocks_repaired = stocks_repaired.merge(\n", + " repair_map,\n", + " on=keys,\n", + " how=\"left\"\n", + ")\n", + "\n", + "stocks_repaired[\"Quantity - AUM\"] = np.where(\n", + " stocks_repaired[\"repair_flag\"] == True,\n", + " stocks_repaired[\"corrected_aum\"],\n", + " stocks_repaired[\"Quantity - AUM\"]\n", + ")\n", + "\n", + "stocks_repaired.to_csv(\"stock_repaired.csv\", index=False)\n", + "\n", + "\n", + "\n", + "# COMPARISON RAW VS REPAIRED\n", + "\n", + "\n", + "df_compare = stocks.merge(\n", + " stocks_repaired,\n", + " on=keys,\n", + " how=\"inner\",\n", + " suffixes=(\"_raw\",\"_repaired\")\n", + ")\n", + "\n", + "df_compare[\"aum_diff\"] = (\n", + " df_compare[\"Quantity - AUM_repaired\"]\n", + " - df_compare[\"Quantity - AUM_raw\"]\n", + ")\n", + "\n", + "print(\"\\nNUMBER OF MODIFIED OBSERVATIONS:\",\n", + " (df_compare[\"aum_diff\"] != 0).sum())\n", + "\n", + "print(\"Share modified:\",\n", + " round((df_compare[\"aum_diff\"] != 0).mean()*100,2), \"%\")\n", + "\n", + "print(\"\\nTOTAL AUM\")\n", + "\n", + "print(\"Raw total :\", df_compare[\"Quantity - AUM_raw\"].sum())\n", + "print(\"Repaired total :\", df_compare[\"Quantity - AUM_repaired\"].sum())\n", + "\n", + "\n", + "\n", + "# RUPTURE DISTRIBUTION BEFORE / AFTER\n", + "\n", + "\n", + "def rupture_distribution(df, flag):\n", + "\n", + " rupture_summary = (\n", + " df.groupby([\"Registrar Account - ID\",\"Product - Isin\"])\n", + " .agg(\n", + " n_ruptures=(flag,\"sum\"),\n", + " total_obs=(flag,\"count\"),\n", + " rupture_ratio=(flag,\"mean\")\n", + " )\n", + " .reset_index()\n", + " )\n", + "\n", + " rs = rupture_summary.copy()\n", + "\n", + " bins = [0,0.01,0.10,0.30,1.01]\n", + "\n", + " labels = [\n", + " \"Clean / quasi-clean (≤1%)\",\n", + " \"Moderate (1–10%)\",\n", + " \"High (10–30%)\",\n", + " \"Severe (>30%)\"\n", + " ]\n", + "\n", + " rs[\"rupture_class\"] = pd.cut(\n", + " rs[\"rupture_ratio\"],\n", + " bins=bins,\n", + " labels=labels,\n", + " include_lowest=True\n", + " )\n", + "\n", + " dist = (\n", + " rs[\"rupture_class\"]\n", + " .value_counts(normalize=True)\n", + " .sort_index()\n", + " * 100\n", + " ).round(1)\n", + "\n", + " return dist\n", + "\n", + "\n", + "dist_before = rupture_distribution(df,\"rupture_before\")\n", + "dist_after = rupture_distribution(df,\"rupture_after\")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "54491736-58b3-4ef7-b6c4-5534ec796bce", + "metadata": {}, + "outputs": [], + "source": [ + "# DONUT CHART BEFORE / AFTER\n", + "\n", + "fig = go.Figure()\n", + "\n", + "fig.add_trace(go.Pie(\n", + " labels=dist_before.index,\n", + " values=dist_before.values,\n", + " hole=0.45,\n", + " name=\"Before repair\",\n", + " domain=dict(x=[0,0.48]),\n", + " textinfo=\"percent\"\n", + "))\n", + "\n", + "fig.add_trace(go.Pie(\n", + " labels=dist_after.index,\n", + " values=dist_after.values,\n", + " hole=0.45,\n", + " name=\"After repair\",\n", + " domain=dict(x=[0.52,1]),\n", + " textinfo=\"percent\"\n", + "))\n", + "\n", + "fig.update_layout(\n", + " title=\"Rupture intensity distribution (Before vs After repair)\",\n", + " annotations=[\n", + " dict(text=\"Before repair\", x=0.22, y=0.5, showarrow=False),\n", + " dict(text=\"After repair\", x=0.78, y=0.5, showarrow=False)\n", + " ]\n", + ")\n", + "\n", + "fig.show()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "d844f6f0-c0f4-4f71-8280-1fd39ced83b7", + "metadata": {}, + "outputs": [], + "source": [ + "# LOAD DATA\n", + "\n", + "aum = pd.read_csv(\"stock_repaired.csv\")\n", + "\n", + "aum[\"Centralisation Date\"] = pd.to_datetime(aum[\"Centralisation Date\"])\n", + "\n", + "\n", + "# KEEP USEFUL COLUMNS\n", + "\n", + "aum = aum[[\n", + " \"Registrar Account - ID\",\n", + " \"Product - Isin\",\n", + " \"Centralisation Date\",\n", + " \"Quantity - AUM\",\n", + " \"repair_flag\"\n", + "]]\n", + "\n", + "flows = flows[[\n", + " \"Registrar Account - ID\",\n", + " \"Product - Isin\",\n", + " \"Centralisation Date\",\n", + " \"Quantity - NetFlows\"\n", + "]]\n", + "\n", + "\n", + "\n", + "# AGGREGATE FLOWS\n", + "\n", + "flows = (\n", + " flows\n", + " .groupby(\n", + " [\"Registrar Account - ID\",\"Product - Isin\",\"Centralisation Date\"],\n", + " as_index=False\n", + " )[\"Quantity - NetFlows\"]\n", + " .sum()\n", + ")\n", + "\n", + "\n", + "\n", + "# MERGE DATASETS\n", + "\n", + "df = aum.merge(\n", + " flows,\n", + " on=[\"Registrar Account - ID\",\"Product - Isin\",\"Centralisation Date\"],\n", + " how=\"left\"\n", + ")\n", + "\n", + "df[\"Quantity - NetFlows\"] = df[\"Quantity - NetFlows\"].fillna(0)\n", + "\n", + "print(\"Dataset size:\", df.shape)\n", + "\n", + "\n", + "\n", + "# SORT DATA\n", + "\n", + "df = df.sort_values(\n", + " [\"Registrar Account - ID\",\"Product - Isin\",\"Centralisation Date\"]\n", + ")\n", + "\n", + "\n", + "\n", + "# REBUILD ACCOUNTING IDENTITY\n", + "\n", + "df[\"prev_aum\"] = (\n", + " df.groupby([\"Registrar Account - ID\",\"Product - Isin\"])\n", + " [\"Quantity - AUM\"]\n", + " .shift(1)\n", + ")\n", + "\n", + "df[\"prev_flow\"] = (\n", + " df.groupby([\"Registrar Account - ID\",\"Product - Isin\"])\n", + " [\"Quantity - NetFlows\"]\n", + " .shift(1)\n", + " .fillna(0)\n", + ")\n", + "\n", + "df[\"expected_aum\"] = df[\"prev_aum\"] + df[\"prev_flow\"]\n", + "\n", + "\n", + "\n", + "# GAPS\n", + "\n", + "df[\"gap\"] = df[\"Quantity - AUM\"] - df[\"expected_aum\"]\n", + "\n", + "df[\"gap_abs\"] = df[\"gap\"].abs()\n", + "\n", + "df[\"gap_rel\"] = (\n", + " df[\"gap_abs\"] /\n", + " df[\"expected_aum\"].abs().clip(lower=1)\n", + ")\n", + "\n", + "\n", + "\n", + "# ACCOUNTING CONSISTENCY\n", + "\n", + "print(\"\\nACCOUNTING GAP DISTRIBUTION\")\n", + "\n", + "print(df[\"gap_abs\"].describe())\n", + "\n", + "print(\"\\nRelative gap quantiles\")\n", + "\n", + "print(df[\"gap_rel\"].quantile([0.90,0.95,0.99]))\n", + "\n", + "\n", + "\n", + "# NEGATIVE AUM\n", + "\n", + "neg = (df[\"Quantity - AUM\"] < 0).sum()\n", + "\n", + "print(\"\\nNEGATIVE AUM:\", neg)\n", + "\n", + "\n", + "\n", + "# REPAIR RATE\n", + "\n", + "print(\"\\nREPAIR RATE\")\n", + "\n", + "print(df[\"repair_flag\"].mean())\n", + "\n", + "\n", + "\n", + "# AUM JUMPS\n", + "\n", + "\n", + "df[\"prev_obs\"] = (\n", + " df.groupby([\"Registrar Account - ID\",\"Product - Isin\"])\n", + " [\"Quantity - AUM\"]\n", + " .shift(1)\n", + ")\n", + "\n", + "df[\"aum_jump\"] = (\n", + " df[\"Quantity - AUM\"] /\n", + " df[\"prev_obs\"].replace(0,np.nan)\n", + ")\n", + "\n", + "print(\"\\nAUM JUMP QUANTILES\")\n", + "\n", + "print(df[\"aum_jump\"].quantile([0.90,0.95,0.99]))\n", + "\n", + "\n", + "\n", + "# VISUAL CHECK\n", + "\n", + "\n", + "def plot_series(account, isin):\n", + "\n", + " sub = df[\n", + " (df[\"Registrar Account - ID\"] == account) &\n", + " (df[\"Product - Isin\"] == isin)\n", + " ]\n", + "\n", + " plt.figure(figsize=(8,3))\n", + "\n", + " plt.plot(\n", + " sub[\"Centralisation Date\"],\n", + " sub[\"Quantity - AUM\"],\n", + " label=\"AUM\"\n", + " )\n", + "\n", + " plt.plot(\n", + " sub[\"Centralisation Date\"],\n", + " sub[\"expected_aum\"],\n", + " linestyle=\"--\",\n", + " label=\"Expected AUM\"\n", + " )\n", + "\n", + " plt.legend()\n", + " plt.title(f\"Account {account} — ISIN {isin}\")\n", + "\n", + " plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "f7d759f7-64be-4d82-a79c-98cda407cfec", + "metadata": { + "scrolled": true + }, + "outputs": [], + "source": [ + "# COMPUTE AUM CHANGE\n", + "\n", + "df[\"prev_aum\"] = (\n", + " df.groupby([\"Registrar Account - ID\",\"Product - Isin\"])\n", + " [\"Quantity - AUM\"]\n", + " .shift(1)\n", + ")\n", + "\n", + "df[\"delta_aum\"] = df[\"Quantity - AUM\"] - df[\"prev_aum\"]\n", + "\n", + "df[\"flow_lag\"] = (\n", + " df.groupby([\"Registrar Account - ID\",\"Product - Isin\"])\n", + " [\"Quantity - NetFlows\"]\n", + " .shift(1)\n", + ")\n", + "\n", + "\n", + "\n", + "# FILTER VALID OBSERVATIONS\n", + "\n", + "\n", + "diag = df[\n", + " df[\"prev_aum\"].notna() &\n", + " df[\"flow_lag\"].notna()\n", + "]\n", + "\n", + "\n", + "\n", + "# SAMPLE FOR PLOTTING (dataset is large)\n", + "\n", + "\n", + "sample = diag.sample(20000, random_state=1)\n", + "\n", + "\n", + "\n", + "# SCATTER PLOT\n", + "\n", + "\n", + "plt.figure(figsize=(7,7))\n", + "\n", + "plt.scatter(\n", + " sample[\"flow_lag\"],\n", + " sample[\"delta_aum\"],\n", + " alpha=0.3,\n", + " s=5\n", + ")\n", + "\n", + "# perfect accounting identity\n", + "x = np.linspace(\n", + " sample[\"flow_lag\"].min(),\n", + " sample[\"flow_lag\"].max(),\n", + " 100\n", + ")\n", + "\n", + "plt.plot(x, x, color=\"red\", label=\"Perfect identity\")\n", + "\n", + "plt.xlabel(\"Flow (t-1)\")\n", + "plt.ylabel(\"Δ AUM\")\n", + "\n", + "plt.title(\"AUM / Flow Accounting Diagnostic\")\n", + "\n", + "plt.legend()\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "d0a959c9-cfff-44cb-a1df-6c7275ec5b43", + "metadata": {}, + "outputs": [], + "source": [ + "df[\"implied_return\"] = (\n", + " df[\"Quantity - AUM\"] - df[\"prev_aum\"] - df[\"flow_lag\"]\n", + ") / df[\"prev_aum\"].replace(0, np.nan)\n", + "\n", + "print(df[\"implied_return\"].quantile([0.5,0.9,0.95,0.99]))" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "15111e8a-7d87-4c37-8122-daafe90a1ad5", + "metadata": { + "scrolled": true + }, + "outputs": [], + "source": [ + "# ============================================================\n", + "# ADDITIONAL DATASET VALIDATION CHECKS (ROBUST VERSION)\n", + "# ============================================================\n", + "\n", + "import numpy as np\n", + "import pandas as pd\n", + "\n", + "print(\"\\n==============================\")\n", + "print(\"ADDITIONAL DATA QUALITY CHECKS\")\n", + "print(\"==============================\")\n", + "\n", + "# ------------------------------------------------------------\n", + "# RECOMPUTE KEY VARIABLES IF NEEDED\n", + "# ------------------------------------------------------------\n", + "\n", + "df = df.sort_values([\"Registrar Account - ID\",\"Product - Isin\",\"Centralisation Date\"])\n", + "\n", + "df[\"prev_aum\"] = (\n", + " df.groupby([\"Registrar Account - ID\",\"Product - Isin\"])\n", + " [\"Quantity - AUM\"]\n", + " .shift(1)\n", + ")\n", + "\n", + "df[\"flow_lag\"] = (\n", + " df.groupby([\"Registrar Account - ID\",\"Product - Isin\"])\n", + " [\"Quantity - NetFlows\"]\n", + " .shift(1)\n", + ")\n", + "\n", + "df[\"flow_lag\"] = df[\"flow_lag\"].fillna(0)\n", + "\n", + "df[\"expected_aum\"] = df[\"prev_aum\"] + df[\"flow_lag\"]\n", + "\n", + "df[\"gap\"] = df[\"Quantity - AUM\"] - df[\"expected_aum\"]\n", + "df[\"gap_abs\"] = df[\"gap\"].abs()\n", + "\n", + "df[\"delta_aum\"] = df[\"Quantity - AUM\"] - df[\"prev_aum\"]\n", + "\n", + "df[\"implied_return\"] = (\n", + " df[\"Quantity - AUM\"] - df[\"prev_aum\"] - df[\"flow_lag\"]\n", + ") / df[\"prev_aum\"].replace(0,np.nan)\n", + "\n", + "df[\"aum_jump\"] = (\n", + " df[\"Quantity - AUM\"] /\n", + " df[\"prev_aum\"].replace(0,np.nan)\n", + ")\n", + "\n", + "\n", + "# ------------------------------------------------------------\n", + "# 1. CHECK SERIES WHERE GAP IS STILL LARGE\n", + "# ------------------------------------------------------------\n", + "\n", + "remaining_gaps = df[df[\"gap_abs\"] > 10]\n", + "\n", + "series_remaining = (\n", + " remaining_gaps\n", + " .groupby([\"Registrar Account - ID\",\"Product - Isin\"])\n", + " .size()\n", + ")\n", + "\n", + "print(\"\\nSERIES STILL WITH LARGE ACCOUNTING GAPS:\", len(series_remaining))\n", + "\n", + "\n", + "# ------------------------------------------------------------\n", + "# 2. GAP DISTRIBUTION\n", + "# ------------------------------------------------------------\n", + "\n", + "print(\"\\nACCOUNTING GAP DISTRIBUTION\")\n", + "print(df[\"gap_abs\"].quantile([0.5,0.9,0.95,0.99]))\n", + "\n", + "\n", + "# ------------------------------------------------------------\n", + "# 3. IMPLIED RETURNS DISTRIBUTION\n", + "# ------------------------------------------------------------\n", + "\n", + "print(\"\\nIMPLIED RETURN DISTRIBUTION\")\n", + "print(df[\"implied_return\"].quantile([0.5,0.9,0.95,0.99]))\n", + "\n", + "\n", + "# ------------------------------------------------------------\n", + "# 4. EXTREME RETURNS\n", + "# ------------------------------------------------------------\n", + "\n", + "extreme_returns = df[df[\"implied_return\"].abs() > 2]\n", + "\n", + "print(\"\\nOBSERVATIONS WITH EXTREME IMPLIED RETURNS (>200%):\",\n", + " len(extreme_returns))\n", + "\n", + "\n", + "# ------------------------------------------------------------\n", + "# 5. FLOW / AUM ACCOUNTING CORRELATION\n", + "# ------------------------------------------------------------\n", + "\n", + "valid = df[\n", + " df[\"prev_aum\"].notna() &\n", + " df[\"flow_lag\"].notna()\n", + "]\n", + "\n", + "corr = valid[\"delta_aum\"].corr(valid[\"flow_lag\"])\n", + "\n", + "print(\"\\nCORRELATION ΔAUM vs FLOW:\", corr)\n", + "\n", + "\n", + "# ------------------------------------------------------------\n", + "# 6. LARGE AUM JUMPS\n", + "# ------------------------------------------------------------\n", + "\n", + "large_jumps = df[df[\"aum_jump\"].abs() > 5]\n", + "\n", + "print(\"\\nLARGE AUM JUMPS (>5x):\", len(large_jumps))\n", + "\n", + "\n", + "# ------------------------------------------------------------\n", + "# 7. SERIES WITH HIGH GAP RATE\n", + "# ------------------------------------------------------------\n", + "\n", + "series_gap_rate = (\n", + " (df[\"gap_abs\"] > 10)\n", + " .groupby([df[\"Registrar Account - ID\"], df[\"Product - Isin\"]])\n", + " .mean()\n", + ")\n", + "\n", + "problem_series = series_gap_rate[series_gap_rate > 0.2]\n", + "\n", + "print(\"\\nSERIES WITH >20% ACCOUNTING GAPS:\", len(problem_series))\n", + "\n", + "\n", + "# ------------------------------------------------------------\n", + "# 8. TOTAL AUM STABILITY\n", + "# ------------------------------------------------------------\n", + "\n", + "if \"df_compare\" in globals():\n", + "\n", + " raw_total = df_compare[\"Quantity - AUM_raw\"].sum()\n", + " repaired_total = df_compare[\"Quantity - AUM_repaired\"].sum()\n", + "\n", + " print(\"\\nTOTAL AUM RAW:\", raw_total)\n", + " print(\"TOTAL AUM REPAIRED:\", repaired_total)\n", + "\n", + " print(\"RELATIVE CHANGE:\",\n", + " (repaired_total - raw_total) / raw_total)\n", + "\n", + "\n", + "# ------------------------------------------------------------\n", + "# 9. PROPORTION OF SERIES REPAIRED\n", + "# ------------------------------------------------------------\n", + "\n", + "if \"repair_flag\" in df.columns:\n", + "\n", + " series_repaired = (\n", + " df.groupby([\"Registrar Account - ID\",\"Product - Isin\"])\n", + " [\"repair_flag\"]\n", + " .max()\n", + " )\n", + "\n", + " print(\"\\nSERIES WITH AT LEAST ONE REPAIR:\",\n", + " series_repaired.mean())\n", + "\n", + "\n", + "# ------------------------------------------------------------\n", + "# 10. WORST SERIES (MANUAL CHECK)\n", + "# ------------------------------------------------------------\n", + "\n", + "worst_series = (\n", + " df.groupby([\"Registrar Account - ID\",\"Product - Isin\"])\n", + " [\"gap_abs\"]\n", + " .max()\n", + " .sort_values(ascending=False)\n", + " .head(10)\n", + ")\n", + "\n", + "print(\"\\nWORST SERIES AFTER REPAIR\")\n", + "print(worst_series)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "f9a4fd91-bb8b-4172-a267-cbe7f2e4fae7", + "metadata": {}, + "outputs": [], + "source": [ + "print(\"RUPTURES BEFORE:\", summary[\"Before repair\"].iloc[0])\n", + "print(\"RUPTURES AFTER :\", summary[\"After repair\"].iloc[0])\n", + "print(\"REDUCTION RATE :\", 1 - summary[\"After repair\"].iloc[0] /\n", + " summary[\"Before repair\"].iloc[0])" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "68596521-a10a-479a-a6cd-36b6be3c55b9", + "metadata": {}, + "outputs": [], + "source": [ + "# CHECK IF REPAIR CREATED NEW NEGATIVE AUM\n", + "\n", + "df_compare = stocks.merge(\n", + " stocks_repaired,\n", + " on=[\"Registrar Account - ID\",\"Product - Isin\",\"Centralisation Date\"],\n", + " how=\"inner\",\n", + " suffixes=(\"_raw\",\"_repaired\")\n", + ")\n", + "\n", + "neg_raw = (\n", + " df_compare[df_compare[\"Quantity - AUM_raw\"] < 0]\n", + " .groupby([\"Registrar Account - ID\",\"Product - Isin\"])\n", + " .size()\n", + ")\n", + "\n", + "neg_rep = (\n", + " df_compare[df_compare[\"Quantity - AUM_repaired\"] < 0]\n", + " .groupby([\"Registrar Account - ID\",\"Product - Isin\"])\n", + " .size()\n", + ")\n", + "\n", + "print(\"Negative series BEFORE repair:\", len(neg_raw))\n", + "print(\"Negative series AFTER repair:\", len(neg_rep))\n", + "\n", + "created_neg = set(neg_rep.index) - set(neg_raw.index)\n", + "\n", + "print(\"\\nNumber of series where repair created negatives:\", len(created_neg))\n", + "\n", + "if len(created_neg) > 0:\n", + " print(\"\\nSeries concerned:\")\n", + " print(created_neg)\n", + "\n", + "\n", + "\n", + "for acc, isin in created_neg:\n", + "\n", + " sub = df_compare[\n", + " (df_compare[\"Registrar Account - ID\"] == acc) &\n", + " (df_compare[\"Product - Isin\"] == isin)\n", + " ].sort_values(\"Centralisation Date\").reset_index(drop=True)\n", + "\n", + " # indices where repaired AUM becomes negative\n", + " neg_idx = sub.index[sub[\"Quantity - AUM_repaired\"] < 0]\n", + "\n", + " print(\"\\n======================================\")\n", + " print(\"Account:\", acc, \"ISIN:\", isin)\n", + "\n", + " for i in neg_idx:\n", + "\n", + " start = max(0, i-3)\n", + " end = min(len(sub), i+3)\n", + "\n", + " print(\"\\nContext around created negative:\")\n", + " print(\n", + " sub.loc[start:end, [\n", + " \"Centralisation Date\",\n", + " \"Quantity - AUM_raw\",\n", + " \"Quantity - AUM_repaired\"\n", + " ]]\n", + " )" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "203797d1-c380-406d-ac6e-78c4e1228966", + "metadata": {}, + "outputs": [], + "source": [ + "# top N worst series\n", + "N = 20\n", + "\n", + "worst_series = (\n", + " df.groupby([\"Registrar Account - ID\",\"Product - Isin\"])[\"gap_abs\"]\n", + " .max()\n", + " .sort_values(ascending=False)\n", + " .head(N)\n", + ")\n", + "\n", + "print(worst_series)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "17c6be03-3b76-41e7-906f-d86472bda274", + "metadata": {}, + "outputs": [], + "source": [ + "def plot_account_series(account, isin):\n", + "\n", + " sub = df[\n", + " (df[\"Registrar Account - ID\"] == account) &\n", + " (df[\"Product - Isin\"] == isin)\n", + " ].sort_values(\"Centralisation Date\")\n", + "\n", + " plt.figure(figsize=(10,4))\n", + "\n", + " plt.plot(\n", + " sub[\"Centralisation Date\"],\n", + " sub[\"Quantity - AUM\"],\n", + " label=\"AUM\",\n", + " linewidth=2\n", + " )\n", + "\n", + " plt.plot(\n", + " sub[\"Centralisation Date\"],\n", + " sub[\"expected_aum\"],\n", + " linestyle=\"--\",\n", + " label=\"Expected AUM\"\n", + " )\n", + "\n", + " # highlight large gaps\n", + " ruptures = sub[sub[\"gap_abs\"] > 10]\n", + "\n", + " plt.scatter(\n", + " ruptures[\"Centralisation Date\"],\n", + " ruptures[\"Quantity - AUM\"],\n", + " color=\"red\",\n", + " label=\"Rupture\",\n", + " s=40\n", + " )\n", + "\n", + " plt.title(f\"Account {account} | ISIN {isin}\")\n", + " plt.legend()\n", + " plt.grid(alpha=0.3)\n", + "\n", + " plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "02a22e9a-a71c-4212-8f0a-f33c18e4b530", + "metadata": {}, + "outputs": [], + "source": [ + "for acc, isin in worst_series.index:\n", + " plot_account_series(acc, isin)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "c72e2dc2-c35d-4608-a3da-57a37acf64c7", + "metadata": {}, + "outputs": [], + "source": [ + "def run_data_challenge(stocks, flows):\n", + "\n", + " # conversion dates\n", + " stocks[\"Centralisation Date\"] = pd.to_datetime(stocks[\"Centralisation Date\"])\n", + " flows[\"Centralisation Date\"] = pd.to_datetime(flows[\"Centralisation Date\"])\n", + "\n", + " # merge datasets\n", + " df = stocks.merge(\n", + " flows,\n", + " on=[\"Registrar Account - ID\",\"Product - Isin\",\"Centralisation Date\"],\n", + " how=\"left\"\n", + " )\n", + "\n", + " df[\"Quantity - NetFlows\"] = df[\"Quantity - NetFlows\"].fillna(0)\n", + "\n", + " # sort\n", + " df = df.sort_values(\n", + " [\"Registrar Account - ID\",\"Product - Isin\",\"Centralisation Date\"]\n", + " )\n", + "\n", + " # previous values\n", + " df[\"prev_aum\"] = (\n", + " df.groupby([\"Registrar Account - ID\",\"Product - Isin\"])\n", + " [\"Quantity - AUM\"]\n", + " .shift(1)\n", + " )\n", + "\n", + " df[\"flow_lag\"] = (\n", + " df.groupby([\"Registrar Account - ID\",\"Product - Isin\"])\n", + " [\"Quantity - NetFlows\"]\n", + " .shift(1)\n", + " ).fillna(0)\n", + "\n", + " # expected AUM\n", + " df[\"expected_aum\"] = df[\"prev_aum\"] + df[\"flow_lag\"]\n", + "\n", + " # gap\n", + " df[\"gap\"] = df[\"Quantity - AUM\"] - df[\"expected_aum\"]\n", + "\n", + " # build score\n", + " df[\"score\"] = np.exp(-np.abs(df[\"gap\"]) / (df[\"expected_aum\"].abs()+1))\n", + "\n", + " # score timeline\n", + " score_timeline = (\n", + " df.groupby(\"Centralisation Date\")[\"score\"]\n", + " .sum()\n", + " .reset_index()\n", + " .rename(columns={\"Centralisation Date\":\"date\",\n", + " \"score\":\"sum_scores\"})\n", + " .sort_values(\"date\")\n", + " )\n", + "\n", + " code_changes = pd.DataFrame() # placeholder\n", + "\n", + " return score_timeline, code_changes" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "67787ce5-39ae-4a3a-ba22-e9d38bcaf8d3", + "metadata": {}, + "outputs": [], + "source": [ + "# ============================================================\n", + "# RUN DATA CHALLENGE ON RAW AND CLEAN DATASETS\n", + "# ============================================================\n", + "\n", + "DATASETS = {\n", + " \"raw\": \"stocks.csv\",\n", + " \"clean\": \"stock_repaired.csv\"\n", + "}\n", + "\n", + "results = {}\n", + "\n", + "for name, file in DATASETS.items():\n", + "\n", + " print(\"\\n====================================\")\n", + " print(\"RUNNING DATA CHALLENGE ON:\", name)\n", + " print(\"====================================\")\n", + "\n", + " # load datasets\n", + " stocks = pd.read_csv(file, low_memory=False)\n", + " flows = pd.read_csv(\"flows.csv\", low_memory=False)\n", + "\n", + " # run the full algorithm\n", + " score_timeline, code_changes = run_data_challenge(stocks, flows)\n", + "\n", + " # store results\n", + " results[name] = score_timeline.copy()\n", + "\n", + "\n", + "# ============================================================\n", + "# BUILD COMPARISON TABLE\n", + "# ============================================================\n", + "\n", + "comparison = (\n", + " results[\"raw\"][[\"date\", \"sum_scores\"]]\n", + " .rename(columns={\"sum_scores\": \"raw_scores\"})\n", + " .merge(\n", + " results[\"clean\"][[\"date\", \"sum_scores\"]]\n", + " .rename(columns={\"sum_scores\": \"clean_scores\"}),\n", + " on=\"date\",\n", + " how=\"outer\"\n", + " )\n", + " .sort_values(\"date\")\n", + ")\n", + "\n", + "# improvement from cleaning\n", + "comparison[\"improvement\"] = (\n", + " comparison[\"clean_scores\"] - comparison[\"raw_scores\"]\n", + ")\n", + "\n", + "# relative improvement\n", + "comparison[\"relative_improvement\"] = (\n", + " comparison[\"improvement\"] /\n", + " comparison[\"raw_scores\"].replace(0, np.nan)\n", + ")\n", + "\n", + "print(\"\\n==============================\")\n", + "print(\"RAW VS CLEAN SCORE COMPARISON\")\n", + "print(\"==============================\")\n", + "\n", + "print(comparison.head())\n", + "print(comparison.tail())" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "5bdb367f-3764-400a-a20d-793f8d004d82", + "metadata": {}, + "outputs": [], + "source": [ + "# ============================================================\n", + "# PARAMETERS\n", + "# ============================================================\n", + "\n", + "TARGET_DATE = pd.Timestamp(\"2025-10-31\")\n", + "AUM_THRESHOLD = 5_000_000\n", + "EXCLUDED = [\"OFF DISTRIBUTION\", \"PRIVATE CLIENTS\"]\n", + "\n", + "ALPHA = 5 # penalty strength for accounting error\n", + "\n", + "stocks[\"Centralisation Date\"] = pd.to_datetime(stocks[\"Centralisation Date\"])\n", + "flows[\"Centralisation Date\"] = pd.to_datetime(flows[\"Centralisation Date\"])\n", + "\n", + "stocks[\"Registrar Account - ID\"] = stocks[\"Registrar Account - ID\"].astype(str).str.strip()\n", + "flows[\"Registrar Account - ID\"] = flows[\"Registrar Account - ID\"].astype(str).str.strip()\n", + "\n", + "stocks[\"Product - Isin\"] = stocks[\"Product - Isin\"].astype(str)\n", + "flows[\"Product - Isin\"] = flows[\"Product - Isin\"].astype(str)\n", + "\n", + "# ============================================================\n", + "# REMOVE EXCLUDED ACCOUNTS\n", + "# ============================================================\n", + "\n", + "stocks = stocks[~stocks[\"Registrar Account - ID\"].str.upper().isin(EXCLUDED)]\n", + "flows = flows[~flows[\"Registrar Account - ID\"].str.upper().isin(EXCLUDED)]" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "b10832d6-988a-42cd-a6b6-4dfb690315b7", + "metadata": {}, + "outputs": [], + "source": [ + "# ============================================================\n", + "# SELECT UNIVERSE AT TARGET DATE\n", + "# ============================================================\n", + "\n", + "latest = stocks[stocks[\"Centralisation Date\"] == TARGET_DATE]\n", + "\n", + "account_aum = (\n", + " latest.groupby(\"Registrar Account - ID\")[\"Quantity - AUM\"]\n", + " .sum()\n", + " .sort_values(ascending=False)\n", + ")\n", + "\n", + "# remove negative values if any\n", + "account_aum = account_aum[account_aum > 0]\n", + "\n", + "# cumulative coverage\n", + "cum_aum = account_aum.cumsum()\n", + "total_aum = account_aum.sum()\n", + "\n", + "coverage = cum_aum / total_aum\n", + "\n", + "# select accounts covering 97% of AUM\n", + "selected_accounts = account_aum[coverage <= 0.97]\n", + "\n", + "# ensure at least one more account\n", + "selected_accounts = account_aum.iloc[:len(selected_accounts)+1]\n", + "\n", + "# weights at t0\n", + "weights = selected_accounts / selected_accounts.sum()\n", + "\n", + "print(\"\\nUNIVERSE SELECTION\")\n", + "print(\"------------------\")\n", + "print(\"Number of selected accounts:\", len(selected_accounts))\n", + "print(\"Coverage:\", selected_accounts.sum() / total_aum)\n", + "\n", + "print(\"\\nTop accounts:\")\n", + "print(selected_accounts.head(10))\n", + "\n", + "# ============================================================\n", + "# BUILD DATASET\n", + "# ============================================================\n", + "\n", + "df = stocks.merge(\n", + " flows,\n", + " on=[\"Registrar Account - ID\",\"Product - Isin\",\"Centralisation Date\"],\n", + " how=\"left\"\n", + ")\n", + "\n", + "df[\"Quantity - NetFlows\"] = df[\"Quantity - NetFlows\"].fillna(0)\n", + "\n", + "df = df.sort_values(\n", + " [\"Registrar Account - ID\",\"Product - Isin\",\"Centralisation Date\"]\n", + ")\n", + "\n", + "# ============================================================\n", + "# COMPUTE PREVIOUS VALUES\n", + "# ============================================================\n", + "\n", + "df[\"prev_aum\"] = (\n", + " df.groupby([\"Registrar Account - ID\",\"Product - Isin\"])\n", + " [\"Quantity - AUM\"]\n", + " .shift(1)\n", + ")\n", + "\n", + "df[\"flow_lag\"] = (\n", + " df.groupby([\"Registrar Account - ID\",\"Product - Isin\"])\n", + " [\"Quantity - NetFlows\"]\n", + " .shift(1)\n", + ").fillna(0)\n", + "\n", + "df[\"expected_aum\"] = df[\"prev_aum\"] + df[\"flow_lag\"]\n", + "\n", + "df[\"gap\"] = df[\"Quantity - AUM\"] - df[\"expected_aum\"]\n", + "\n", + "df[\"rel_error\"] = (\n", + " df[\"gap\"].abs() /\n", + " df[\"expected_aum\"].abs().clip(lower=1)\n", + ")\n", + "\n", + "# ============================================================\n", + "# ACCOUNT LEVEL ERROR\n", + "# ============================================================\n", + "\n", + "account_error = (\n", + " df.groupby([\"Centralisation Date\",\"Registrar Account - ID\"])\n", + " [\"rel_error\"]\n", + " .mean()\n", + " .reset_index()\n", + ")\n", + "\n", + "# ============================================================\n", + "# FAST SCORE BACKWARD PROPAGATION\n", + "# ============================================================\n", + "\n", + "# pivot errors into matrix\n", + "error_matrix = (\n", + " account_error\n", + " .pivot(\n", + " index=\"Centralisation Date\",\n", + " columns=\"Registrar Account - ID\",\n", + " values=\"rel_error\"\n", + " )\n", + ")\n", + "\n", + "# keep only selected accounts\n", + "error_matrix = error_matrix[selected_accounts.index]\n", + "\n", + "# fill missing errors\n", + "error_matrix = error_matrix.fillna(0)\n", + "\n", + "# keep only dates <= target\n", + "error_matrix = error_matrix.loc[error_matrix.index <= TARGET_DATE]\n", + "\n", + "# sort dates\n", + "error_matrix = error_matrix.sort_index()\n", + "\n", + "dates = error_matrix.index.values\n", + "\n", + "# convert to numpy for speed\n", + "errors = error_matrix.values\n", + "\n", + "# initial scores\n", + "scores = weights.loc[selected_accounts.index].values\n", + "\n", + "score_history = []\n", + "\n", + "# backward propagation\n", + "for i in range(len(dates)-1, -1, -1):\n", + "\n", + " err = errors[i]\n", + "\n", + " quality = np.exp(-ALPHA * err)\n", + "\n", + " scores = scores * quality\n", + "\n", + " score_history.append({\n", + " \"date\": dates[i],\n", + " \"sum_scores\": scores.sum()\n", + " })\n", + "\n", + "score_timeline = (\n", + " pd.DataFrame(score_history)\n", + " .sort_values(\"date\")\n", + ")\n", + "\n", + "# ============================================================\n", + "# NORMALISE\n", + "# ============================================================\n", + "\n", + "initial_score = score_timeline[\"sum_scores\"].iloc[-1]\n", + "\n", + "score_timeline[\"score_retention\"] = (\n", + " score_timeline[\"sum_scores\"] / initial_score\n", + ")\n", + "\n", + "# ============================================================\n", + "# RESULTS\n", + "# ============================================================\n", + "\n", + "print(\"\\nSCORE TIMELINE\")\n", + "print(score_timeline.head())\n", + "print(score_timeline.tail())\n", + "\n", + "# ============================================================\n", + "# PLOT\n", + "# ============================================================\n", + "\n", + "plt.figure(figsize=(8,4))\n", + "\n", + "plt.plot(\n", + " score_timeline[\"date\"],\n", + " score_timeline[\"score_retention\"]\n", + ")\n", + "\n", + "plt.title(\"Score retention when moving backward in time\")\n", + "plt.xlabel(\"Date\")\n", + "plt.ylabel(\"Σ Scores / Σ Scores (t0)\")\n", + "plt.grid(alpha=0.3)\n", + "\n", + "plt.show()\n", + "\n", + "# ============================================================\n", + "# SAVE\n", + "# ============================================================\n", + "\n", + "score_timeline.to_csv(\n", + " \"data_challenge_score_timeline.csv\",\n", + " index=False\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "86d82213-d155-4feb-817e-ef1df50578e8", + "metadata": {}, + "outputs": [], + "source": [ + "# ============================================================\n", + "# PRECOMPUTE PORTFOLIOS BY DATE\n", + "# ============================================================\n", + "\n", + "portfolio_by_date = {\n", + " d: g.droplevel(0)\n", + " for d, g in portfolio.groupby(level=0)\n", + "}\n", + "\n", + "flows_by_date = {\n", + " d: g.droplevel(0)\n", + " for d, g in flows_matrix.groupby(level=0)\n", + "}\n", + "\n", + "# ============================================================\n", + "# CODE SURGERY SEARCH (FAST + ROBUST)\n", + "# ============================================================\n", + "\n", + "code_changes = []\n", + "\n", + "for row in ruptures.itertuples():\n", + "\n", + " date = row._1\n", + " acc = row._2\n", + "\n", + " # find previous date\n", + " prev_date = score_timeline.loc[\n", + " score_timeline[\"date\"] < date,\n", + " \"date\"\n", + " ].max()\n", + "\n", + " if pd.isna(prev_date):\n", + " continue\n", + "\n", + " if date not in portfolio_by_date:\n", + " continue\n", + "\n", + " if prev_date not in portfolio_by_date:\n", + " continue\n", + "\n", + " # portfolio at t\n", + " port_today = portfolio_by_date[date]\n", + "\n", + " if acc not in port_today.index:\n", + " continue\n", + "\n", + " port_t = port_today.loc[acc]\n", + "\n", + " # portfolio at t-1\n", + " prev_port = portfolio_by_date[prev_date]\n", + "\n", + " # flows at t-1\n", + " prev_flow = flows_by_date.get(prev_date)\n", + "\n", + " # align flows to portfolio\n", + " if prev_flow is not None:\n", + "\n", + " prev_flow = (\n", + " prev_flow\n", + " .reindex(index=prev_port.index, columns=prev_port.columns)\n", + " .fillna(0)\n", + " )\n", + "\n", + " else:\n", + "\n", + " prev_flow = pd.DataFrame(\n", + " 0,\n", + " index=prev_port.index,\n", + " columns=prev_port.columns\n", + " )\n", + "\n", + " # convert to numpy\n", + " prev_port_mat = prev_port.values\n", + " prev_flow_mat = prev_flow.values\n", + "\n", + " # predicted portfolio\n", + " predicted = prev_port_mat + prev_flow_mat\n", + "\n", + " port_t_vec = port_t.reindex(prev_port.columns).fillna(0).values\n", + "\n", + " # compute error vectorised\n", + " diff = np.abs(predicted - port_t_vec)\n", + "\n", + " errors = diff.sum(axis=1) / (np.abs(port_t_vec).sum() + 1)\n", + "\n", + " if len(errors) == 0:\n", + " continue\n", + "\n", + " best_idx = errors.argmin()\n", + "\n", + " if best_idx >= len(prev_port.index):\n", + " continue\n", + "\n", + " best_code = prev_port.index[best_idx]\n", + " best_error = errors[best_idx]\n", + "\n", + " if best_code != acc and best_error < 0.3:\n", + "\n", + " code_changes.append({\n", + " \"date\": date,\n", + " \"old_code\": acc,\n", + " \"new_code\": best_code,\n", + " \"portfolio_error\": best_error\n", + " })\n", + "\n", + "\n", + "# ============================================================\n", + "# RESULTS\n", + "# ============================================================\n", + "\n", + "code_changes = pd.DataFrame(code_changes)\n", + "\n", + "print(\"\\nDetected distributor code changes:\")\n", + "print(code_changes.head())\n", + "\n", + "code_changes.to_csv(\"detected_code_changes.csv\", index=False)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "452b8321-26c5-4229-9992-43c38eb5253f", + "metadata": {}, + "outputs": [], + "source": [ + "def detect_code_changes(portfolio, flows_matrix, ruptures, score_timeline):\n", + "\n", + " # ============================================================\n", + " # PRECOMPUTE PORTFOLIOS BY DATE\n", + " # ============================================================\n", + "\n", + " portfolio_by_date = {\n", + " d: g.droplevel(0)\n", + " for d, g in portfolio.groupby(level=0)\n", + " }\n", + "\n", + " flows_by_date = {\n", + " d: g.droplevel(0)\n", + " for d, g in flows_matrix.groupby(level=0)\n", + " }\n", + "\n", + " # ============================================================\n", + " # CODE SURGERY SEARCH\n", + " # ============================================================\n", + "\n", + " code_changes = []\n", + "\n", + " for row in ruptures.itertuples():\n", + "\n", + " date = row._1\n", + " acc = row._2\n", + "\n", + " # find previous date\n", + " prev_date = score_timeline.loc[\n", + " score_timeline[\"date\"] < date,\n", + " \"date\"\n", + " ].max()\n", + "\n", + " if pd.isna(prev_date):\n", + " continue\n", + "\n", + " if date not in portfolio_by_date:\n", + " continue\n", + "\n", + " if prev_date not in portfolio_by_date:\n", + " continue\n", + "\n", + " # portfolio at t\n", + " port_today = portfolio_by_date[date]\n", + "\n", + " if acc not in port_today.index:\n", + " continue\n", + "\n", + " port_t = port_today.loc[acc]\n", + "\n", + " # portfolio at t-1\n", + " prev_port = portfolio_by_date[prev_date]\n", + "\n", + " # flows at t-1\n", + " prev_flow = flows_by_date.get(prev_date)\n", + "\n", + " # align flows to portfolio\n", + " if prev_flow is not None:\n", + "\n", + " prev_flow = (\n", + " prev_flow\n", + " .reindex(index=prev_port.index, columns=prev_port.columns)\n", + " .fillna(0)\n", + " )\n", + "\n", + " else:\n", + "\n", + " prev_flow = pd.DataFrame(\n", + " 0,\n", + " index=prev_port.index,\n", + " columns=prev_port.columns\n", + " )\n", + "\n", + " # convert to numpy\n", + " prev_port_mat = prev_port.values\n", + " prev_flow_mat = prev_flow.values\n", + "\n", + " # predicted portfolio\n", + " predicted = prev_port_mat + prev_flow_mat\n", + "\n", + " port_t_vec = port_t.reindex(prev_port.columns).fillna(0).values\n", + "\n", + " # compute error vectorised\n", + " diff = np.abs(predicted - port_t_vec)\n", + "\n", + " errors = diff.sum(axis=1) / (np.abs(port_t_vec).sum() + 1)\n", + "\n", + " if len(errors) == 0:\n", + " continue\n", + "\n", + " best_idx = errors.argmin()\n", + "\n", + " if best_idx >= len(prev_port.index):\n", + " continue\n", + "\n", + " best_code = prev_port.index[best_idx]\n", + " best_error = errors[best_idx]\n", + "\n", + " if best_code != acc and best_error < 0.3:\n", + "\n", + " code_changes.append({\n", + " \"date\": date,\n", + " \"old_code\": acc,\n", + " \"new_code\": best_code,\n", + " \"portfolio_error\": best_error\n", + " })\n", + "\n", + " # ============================================================\n", + " # RESULTS\n", + " # ============================================================\n", + "\n", + " code_changes = pd.DataFrame(code_changes)\n", + "\n", + " print(\"\\nDetected distributor code changes:\")\n", + " print(code_changes.head())\n", + "\n", + " # nouveau nom de fichier\n", + " code_changes.to_csv(\"detected_code_changes_filtered.csv\", index=False)\n", + "\n", + " return code_changes\n", + "\n", + "code_changes = detect_code_changes(\n", + " portfolio,\n", + " flows_matrix,\n", + " ruptures,\n", + " score_timeline\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "068da1e3-9de7-49d1-bda4-663b02f6d76a", + "metadata": {}, + "outputs": [], + "source": [ + "def detect_code_changes_fast(portfolio, flows_matrix, ruptures, score_timeline):\n", + "\n", + " # ============================================================\n", + " # PRECOMPUTE PORTFOLIOS BY DATE\n", + " # ============================================================\n", + "\n", + " portfolio_by_date = {\n", + " d: g.droplevel(0)\n", + " for d, g in portfolio.groupby(level=0)\n", + " }\n", + "\n", + " flows_by_date = {\n", + " d: g.droplevel(0)\n", + " for d, g in flows_matrix.groupby(level=0)\n", + " }\n", + "\n", + " # ============================================================\n", + " # PRECOMPUTE PREVIOUS DATES\n", + " # ============================================================\n", + "\n", + " dates = sorted(score_timeline[\"date\"].unique())\n", + "\n", + " prev_date_map = {\n", + " dates[i]: dates[i - 1] if i > 0 else None\n", + " for i in range(len(dates))\n", + " }\n", + "\n", + " # ============================================================\n", + " # CODE SURGERY SEARCH\n", + " # ============================================================\n", + "\n", + " code_changes = []\n", + "\n", + " from tqdm import tqdm\n", + " \n", + " for row in tqdm(ruptures.itertuples(), total=len(ruptures)):\n", + " date = row._1\n", + " acc = row._2\n", + "\n", + " prev_date = prev_date_map.get(date)\n", + "\n", + " if prev_date is None:\n", + " continue\n", + "\n", + " if date not in portfolio_by_date:\n", + " continue\n", + "\n", + " if prev_date not in portfolio_by_date:\n", + " continue\n", + "\n", + " port_today = portfolio_by_date[date]\n", + "\n", + " if acc not in port_today.index:\n", + " continue\n", + "\n", + " port_t = port_today.loc[acc]\n", + "\n", + " prev_port = portfolio_by_date[prev_date]\n", + "\n", + " # ========================================================\n", + " # LIMIT CANDIDATES (shared ISINs)\n", + " # ========================================================\n", + "\n", + " held_isins = port_t[port_t > 0].index\n", + "\n", + " if len(held_isins) == 0:\n", + " continue\n", + "\n", + " candidate_mask = prev_port[held_isins].sum(axis=1) > 0\n", + "\n", + " candidates = prev_port.index[candidate_mask]\n", + "\n", + " if len(candidates) == 0:\n", + " continue\n", + "\n", + " prev_port = prev_port.loc[candidates]\n", + "\n", + " prev_flow = flows_by_date.get(prev_date)\n", + "\n", + " if prev_flow is not None:\n", + "\n", + " prev_flow = prev_flow.reindex(\n", + " index=candidates,\n", + " columns=prev_port.columns\n", + " ).fillna(0)\n", + "\n", + " else:\n", + "\n", + " prev_flow = pd.DataFrame(\n", + " 0,\n", + " index=candidates,\n", + " columns=prev_port.columns\n", + " )\n", + "\n", + " # ========================================================\n", + " # VECTORISED ERROR COMPUTATION\n", + " # ========================================================\n", + "\n", + " prev_port_mat = prev_port.values\n", + " prev_flow_mat = prev_flow.values\n", + "\n", + " predicted = prev_port_mat + prev_flow_mat\n", + "\n", + " port_t_vec = port_t.reindex(prev_port.columns).fillna(0).values\n", + "\n", + " diff = np.abs(predicted - port_t_vec)\n", + "\n", + " errors = diff.sum(axis=1) / (np.abs(port_t_vec).sum() + 1)\n", + "\n", + " if len(errors) == 0:\n", + " continue\n", + "\n", + " best_idx = errors.argmin()\n", + "\n", + " best_code = prev_port.index[best_idx]\n", + " best_error = errors[best_idx]\n", + "\n", + " if best_code != acc and best_error < 0.3:\n", + "\n", + " code_changes.append({\n", + " \"date\": date,\n", + " \"old_code\": acc,\n", + " \"new_code\": best_code,\n", + " \"portfolio_error\": best_error\n", + " })\n", + "\n", + " # ============================================================\n", + " # RESULTS\n", + " # ============================================================\n", + "\n", + " code_changes = pd.DataFrame(code_changes)\n", + "\n", + " print(\"\\nDetected distributor code changes:\")\n", + " print(code_changes.head())\n", + "\n", + " code_changes.to_csv(\"detected_code_changes_fast.csv\", index=False)\n", + "\n", + " return code_changes" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "2b332049-db18-470a-9249-248f01e8ca36", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + " 11%|█ | 2068/18582 [00:24<03:14, 85.09it/s] \n" + ] + }, + { + "ename": "KeyboardInterrupt", + "evalue": "", + "output_type": "error", + "traceback": [ + "\u001b[31m---------------------------------------------------------------------------\u001b[39m", + "\u001b[31mKeyboardInterrupt\u001b[39m Traceback (most recent call last)", + "\u001b[36mCell\u001b[39m\u001b[36m \u001b[39m\u001b[32mIn[3]\u001b[39m\u001b[32m, line 145\u001b[39m\n\u001b[32m 138\u001b[39m \u001b[38;5;28;01mreturn\u001b[39;00m code_changes\n\u001b[32m 141\u001b[39m \u001b[38;5;66;03m# ============================================================\u001b[39;00m\n\u001b[32m 142\u001b[39m \u001b[38;5;66;03m# RUN\u001b[39;00m\n\u001b[32m 143\u001b[39m \u001b[38;5;66;03m# ============================================================\u001b[39;00m\n\u001b[32m--> \u001b[39m\u001b[32m145\u001b[39m code_changes = \u001b[43mdetect_code_changes_fast\u001b[49m\u001b[43m(\u001b[49m\n\u001b[32m 146\u001b[39m \u001b[43m \u001b[49m\u001b[43mportfolio\u001b[49m\u001b[43m,\u001b[49m\n\u001b[32m 147\u001b[39m \u001b[43m \u001b[49m\u001b[43mflows_matrix\u001b[49m\u001b[43m,\u001b[49m\n\u001b[32m 148\u001b[39m \u001b[43m \u001b[49m\u001b[43mruptures\u001b[49m\u001b[43m,\u001b[49m\n\u001b[32m 149\u001b[39m \u001b[43m \u001b[49m\u001b[43mscore_timeline\u001b[49m\n\u001b[32m 150\u001b[39m \u001b[43m)\u001b[49m\n", + "\u001b[36mCell\u001b[39m\u001b[36m \u001b[39m\u001b[32mIn[3]\u001b[39m\u001b[32m, line 69\u001b[39m, in \u001b[36mdetect_code_changes_fast\u001b[39m\u001b[34m(portfolio, flows_matrix, ruptures, score_timeline)\u001b[39m\n\u001b[32m 66\u001b[39m \u001b[38;5;28;01mif\u001b[39;00m \u001b[38;5;28mlen\u001b[39m(held_isins) == \u001b[32m0\u001b[39m:\n\u001b[32m 67\u001b[39m \u001b[38;5;28;01mcontinue\u001b[39;00m\n\u001b[32m---> \u001b[39m\u001b[32m69\u001b[39m candidate_mask = \u001b[43mprev_port\u001b[49m\u001b[43m[\u001b[49m\u001b[43mheld_isins\u001b[49m\u001b[43m]\u001b[49m\u001b[43m.\u001b[49m\u001b[43msum\u001b[49m\u001b[43m(\u001b[49m\u001b[43maxis\u001b[49m\u001b[43m=\u001b[49m\u001b[32;43m1\u001b[39;49m\u001b[43m)\u001b[49m > \u001b[32m0\u001b[39m\n\u001b[32m 71\u001b[39m candidates = prev_port.index[candidate_mask]\n\u001b[32m 73\u001b[39m \u001b[38;5;28;01mif\u001b[39;00m \u001b[38;5;28mlen\u001b[39m(candidates) == \u001b[32m0\u001b[39m:\n", + "\u001b[36mFile \u001b[39m\u001b[32m/opt/python/lib/python3.13/site-packages/pandas/core/frame.py:11697\u001b[39m, in \u001b[36mDataFrame.sum\u001b[39m\u001b[34m(self, axis, skipna, numeric_only, min_count, **kwargs)\u001b[39m\n\u001b[32m 11688\u001b[39m \u001b[38;5;129m@doc\u001b[39m(make_doc(\u001b[33m\"\u001b[39m\u001b[33msum\u001b[39m\u001b[33m\"\u001b[39m, ndim=\u001b[32m2\u001b[39m))\n\u001b[32m 11689\u001b[39m \u001b[38;5;28;01mdef\u001b[39;00m\u001b[38;5;250m \u001b[39m\u001b[34msum\u001b[39m(\n\u001b[32m 11690\u001b[39m \u001b[38;5;28mself\u001b[39m,\n\u001b[32m (...)\u001b[39m\u001b[32m 11695\u001b[39m **kwargs,\n\u001b[32m 11696\u001b[39m ):\n\u001b[32m> \u001b[39m\u001b[32m11697\u001b[39m result = \u001b[38;5;28;43msuper\u001b[39;49m\u001b[43m(\u001b[49m\u001b[43m)\u001b[49m\u001b[43m.\u001b[49m\u001b[43msum\u001b[49m\u001b[43m(\u001b[49m\u001b[43maxis\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mskipna\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mnumeric_only\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mmin_count\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43m*\u001b[49m\u001b[43m*\u001b[49m\u001b[43mkwargs\u001b[49m\u001b[43m)\u001b[49m\n\u001b[32m 11698\u001b[39m \u001b[38;5;28;01mreturn\u001b[39;00m result.__finalize__(\u001b[38;5;28mself\u001b[39m, method=\u001b[33m\"\u001b[39m\u001b[33msum\u001b[39m\u001b[33m\"\u001b[39m)\n", + "\u001b[36mFile \u001b[39m\u001b[32m/opt/python/lib/python3.13/site-packages/pandas/core/generic.py:12571\u001b[39m, in \u001b[36mNDFrame.sum\u001b[39m\u001b[34m(self, axis, skipna, numeric_only, min_count, **kwargs)\u001b[39m\n\u001b[32m 12563\u001b[39m \u001b[38;5;28;01mdef\u001b[39;00m\u001b[38;5;250m \u001b[39m\u001b[34msum\u001b[39m(\n\u001b[32m 12564\u001b[39m \u001b[38;5;28mself\u001b[39m,\n\u001b[32m 12565\u001b[39m axis: Axis | \u001b[38;5;28;01mNone\u001b[39;00m = \u001b[32m0\u001b[39m,\n\u001b[32m (...)\u001b[39m\u001b[32m 12569\u001b[39m **kwargs,\n\u001b[32m 12570\u001b[39m ):\n\u001b[32m> \u001b[39m\u001b[32m12571\u001b[39m \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[38;5;28;43mself\u001b[39;49m\u001b[43m.\u001b[49m\u001b[43m_min_count_stat_function\u001b[49m\u001b[43m(\u001b[49m\n\u001b[32m 12572\u001b[39m \u001b[43m \u001b[49m\u001b[33;43m\"\u001b[39;49m\u001b[33;43msum\u001b[39;49m\u001b[33;43m\"\u001b[39;49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mnanops\u001b[49m\u001b[43m.\u001b[49m\u001b[43mnansum\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43maxis\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mskipna\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mnumeric_only\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mmin_count\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43m*\u001b[49m\u001b[43m*\u001b[49m\u001b[43mkwargs\u001b[49m\n\u001b[32m 12573\u001b[39m \u001b[43m \u001b[49m\u001b[43m)\u001b[49m\n", + "\u001b[36mFile \u001b[39m\u001b[32m/opt/python/lib/python3.13/site-packages/pandas/core/generic.py:12554\u001b[39m, in \u001b[36mNDFrame._min_count_stat_function\u001b[39m\u001b[34m(self, name, func, axis, skipna, numeric_only, min_count, **kwargs)\u001b[39m\n\u001b[32m 12551\u001b[39m \u001b[38;5;28;01melif\u001b[39;00m axis \u001b[38;5;129;01mis\u001b[39;00m lib.no_default:\n\u001b[32m 12552\u001b[39m axis = \u001b[32m0\u001b[39m\n\u001b[32m> \u001b[39m\u001b[32m12554\u001b[39m \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[38;5;28;43mself\u001b[39;49m\u001b[43m.\u001b[49m\u001b[43m_reduce\u001b[49m\u001b[43m(\u001b[49m\n\u001b[32m 12555\u001b[39m \u001b[43m \u001b[49m\u001b[43mfunc\u001b[49m\u001b[43m,\u001b[49m\n\u001b[32m 12556\u001b[39m \u001b[43m \u001b[49m\u001b[43mname\u001b[49m\u001b[43m=\u001b[49m\u001b[43mname\u001b[49m\u001b[43m,\u001b[49m\n\u001b[32m 12557\u001b[39m \u001b[43m \u001b[49m\u001b[43maxis\u001b[49m\u001b[43m=\u001b[49m\u001b[43maxis\u001b[49m\u001b[43m,\u001b[49m\n\u001b[32m 12558\u001b[39m \u001b[43m \u001b[49m\u001b[43mskipna\u001b[49m\u001b[43m=\u001b[49m\u001b[43mskipna\u001b[49m\u001b[43m,\u001b[49m\n\u001b[32m 12559\u001b[39m \u001b[43m \u001b[49m\u001b[43mnumeric_only\u001b[49m\u001b[43m=\u001b[49m\u001b[43mnumeric_only\u001b[49m\u001b[43m,\u001b[49m\n\u001b[32m 12560\u001b[39m \u001b[43m \u001b[49m\u001b[43mmin_count\u001b[49m\u001b[43m=\u001b[49m\u001b[43mmin_count\u001b[49m\u001b[43m,\u001b[49m\n\u001b[32m 12561\u001b[39m \u001b[43m\u001b[49m\u001b[43m)\u001b[49m\n", + "\u001b[36mFile \u001b[39m\u001b[32m/opt/python/lib/python3.13/site-packages/pandas/core/frame.py:11593\u001b[39m, in \u001b[36mDataFrame._reduce\u001b[39m\u001b[34m(self, op, name, axis, skipna, numeric_only, filter_type, **kwds)\u001b[39m\n\u001b[32m 11591\u001b[39m \u001b[38;5;28;01mif\u001b[39;00m out_dtype \u001b[38;5;129;01mis\u001b[39;00m \u001b[38;5;129;01mnot\u001b[39;00m \u001b[38;5;28;01mNone\u001b[39;00m \u001b[38;5;129;01mand\u001b[39;00m out.dtype != \u001b[33m\"\u001b[39m\u001b[33mboolean\u001b[39m\u001b[33m\"\u001b[39m:\n\u001b[32m 11592\u001b[39m out = out.astype(out_dtype)\n\u001b[32m> \u001b[39m\u001b[32m11593\u001b[39m \u001b[38;5;28;01melif\u001b[39;00m (\u001b[43mdf\u001b[49m\u001b[43m.\u001b[49m\u001b[43m_mgr\u001b[49m\u001b[43m.\u001b[49m\u001b[43mget_dtypes\u001b[49m\u001b[43m(\u001b[49m\u001b[43m)\u001b[49m == \u001b[38;5;28mobject\u001b[39m).any() \u001b[38;5;129;01mand\u001b[39;00m name \u001b[38;5;129;01mnot\u001b[39;00m \u001b[38;5;129;01min\u001b[39;00m [\u001b[33m\"\u001b[39m\u001b[33many\u001b[39m\u001b[33m\"\u001b[39m, \u001b[33m\"\u001b[39m\u001b[33mall\u001b[39m\u001b[33m\"\u001b[39m]:\n\u001b[32m 11594\u001b[39m out = out.astype(\u001b[38;5;28mobject\u001b[39m)\n\u001b[32m 11595\u001b[39m \u001b[38;5;28;01melif\u001b[39;00m \u001b[38;5;28mlen\u001b[39m(\u001b[38;5;28mself\u001b[39m) == \u001b[32m0\u001b[39m \u001b[38;5;129;01mand\u001b[39;00m out.dtype == \u001b[38;5;28mobject\u001b[39m \u001b[38;5;129;01mand\u001b[39;00m name \u001b[38;5;129;01min\u001b[39;00m (\u001b[33m\"\u001b[39m\u001b[33msum\u001b[39m\u001b[33m\"\u001b[39m, \u001b[33m\"\u001b[39m\u001b[33mprod\u001b[39m\u001b[33m\"\u001b[39m):\n\u001b[32m 11596\u001b[39m \u001b[38;5;66;03m# Even if we are object dtype, follow numpy and return\u001b[39;00m\n\u001b[32m 11597\u001b[39m \u001b[38;5;66;03m# float64, see test_apply_funcs_over_empty\u001b[39;00m\n", + "\u001b[36mFile \u001b[39m\u001b[32m/opt/python/lib/python3.13/site-packages/pandas/core/internals/managers.py:289\u001b[39m, in \u001b[36mBaseBlockManager.get_dtypes\u001b[39m\u001b[34m(self)\u001b[39m\n\u001b[32m 287\u001b[39m \u001b[38;5;28;01mdef\u001b[39;00m\u001b[38;5;250m \u001b[39m\u001b[34mget_dtypes\u001b[39m(\u001b[38;5;28mself\u001b[39m) -> npt.NDArray[np.object_]:\n\u001b[32m 288\u001b[39m dtypes = np.array([blk.dtype \u001b[38;5;28;01mfor\u001b[39;00m blk \u001b[38;5;129;01min\u001b[39;00m \u001b[38;5;28mself\u001b[39m.blocks], dtype=\u001b[38;5;28mobject\u001b[39m)\n\u001b[32m--> \u001b[39m\u001b[32m289\u001b[39m \u001b[38;5;28;01mreturn\u001b[39;00m dtypes.take(\u001b[38;5;28;43mself\u001b[39;49m\u001b[43m.\u001b[49m\u001b[43mblknos\u001b[49m)\n", + "\u001b[36mFile \u001b[39m\u001b[32m/opt/python/lib/python3.13/site-packages/pandas/core/internals/managers.py:192\u001b[39m, in \u001b[36mBaseBlockManager.blknos\u001b[39m\u001b[34m(self)\u001b[39m\n\u001b[32m 182\u001b[39m \u001b[38;5;250m\u001b[39m\u001b[33;03m\"\"\"\u001b[39;00m\n\u001b[32m 183\u001b[39m \u001b[33;03mSuppose we want to find the array corresponding to our i'th column.\u001b[39;00m\n\u001b[32m 184\u001b[39m \n\u001b[32m (...)\u001b[39m\u001b[32m 188\u001b[39m \u001b[33;03mself.blocks[self.blknos[i]]\u001b[39;00m\n\u001b[32m 189\u001b[39m \u001b[33;03m\"\"\"\u001b[39;00m\n\u001b[32m 190\u001b[39m \u001b[38;5;28;01mif\u001b[39;00m \u001b[38;5;28mself\u001b[39m._blknos \u001b[38;5;129;01mis\u001b[39;00m \u001b[38;5;28;01mNone\u001b[39;00m:\n\u001b[32m 191\u001b[39m \u001b[38;5;66;03m# Note: these can be altered by other BlockManager methods.\u001b[39;00m\n\u001b[32m--> \u001b[39m\u001b[32m192\u001b[39m \u001b[38;5;28;43mself\u001b[39;49m\u001b[43m.\u001b[49m\u001b[43m_rebuild_blknos_and_blklocs\u001b[49m\u001b[43m(\u001b[49m\u001b[43m)\u001b[49m\n\u001b[32m 194\u001b[39m \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[38;5;28mself\u001b[39m._blknos\n", + "\u001b[31mKeyboardInterrupt\u001b[39m: " + ] + } + ], + "source": [ + "# ============================================================\n", + "# RUN\n", + "# ============================================================\n", + "\n", + "code_changes = detect_code_changes_fast(\n", + " portfolio,\n", + " flows_matrix,\n", + " ruptures,\n", + " score_timeline\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "3054206e-13b8-4931-a1d8-e3cbb97eab7a", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "====================================\n", + "RUNNING DATA CHALLENGE ON: raw\n", + "====================================\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "100%|██████████| 18582/18582 [02:27<00:00, 126.15it/s]\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "Detected distributor code changes:\n", + " date old_code new_code portfolio_error\n", + "0 2015-02-28 200001285 200001992 0.090028\n", + "1 2015-02-28 200001771 420304 0.049979\n", + "2 2015-02-28 200001894 366541 0.215146\n", + "3 2015-02-28 200002064 412736 0.210827\n", + "4 2015-02-28 200002109 406337 0.173276\n", + "\n", + "====================================\n", + "RUNNING DATA CHALLENGE ON: clean\n", + "====================================\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "100%|██████████| 18521/18521 [02:34<00:00, 119.82it/s]\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "Detected distributor code changes:\n", + " date old_code new_code portfolio_error\n", + "0 2015-02-28 200001285 200001992 0.090028\n", + "1 2015-02-28 200001771 420304 0.049979\n", + "2 2015-02-28 200001894 366541 0.215146\n", + "3 2015-02-28 200002064 412736 0.210827\n", + "4 2015-02-28 200002109 406337 0.173276\n", + "\n", + "==============================\n", + "RAW VS CLEAN SCORE COMPARISON\n", + "==============================\n", + " date raw_scores clean_scores improvement relative_improvement\n", + "0 2015-01-31 5639.521248 5639.524696 0.003448 6.113170e-07\n", + "1 2015-02-28 5639.521248 5639.524696 0.003448 6.113170e-07\n", + "2 2015-03-31 5656.707028 5656.722266 0.015238 2.693820e-06\n", + "3 2015-04-30 5701.063923 5701.084181 0.020258 3.553334e-06\n", + "4 2015-05-31 5728.963044 5728.994764 0.031720 5.536759e-06\n", + " date raw_scores clean_scores improvement relative_improvement\n", + "125 2025-06-30 11703.280129 11703.402856 0.122727 0.000010\n", + "126 2025-07-31 11855.613232 11855.796565 0.183333 0.000015\n", + "127 2025-08-31 11962.226141 11962.553334 0.327193 0.000027\n", + "128 2025-09-30 12046.634770 12046.966956 0.332185 0.000028\n", + "129 2025-10-31 12189.843400 12190.351082 0.507683 0.000042\n" + ] + } + ], + "source": [ + "# ============================================================\n", + "# RUN DATA CHALLENGE ON RAW AND CLEAN DATASETS\n", + "# ============================================================\n", + "\n", + "DATASETS = {\n", + " \"raw\": \"stocks.csv\",\n", + " \"clean\": \"stock_repaired.csv\"\n", + "}\n", + "\n", + "results = {}\n", + "code_changes_results = {}\n", + "\n", + "for name, file in DATASETS.items():\n", + "\n", + " print(\"\\n====================================\")\n", + " print(\"RUNNING DATA CHALLENGE ON:\", name)\n", + " print(\"====================================\")\n", + "\n", + " # ============================================================\n", + " # LOAD DATA\n", + " # ============================================================\n", + "\n", + " stocks = pd.read_csv(file, low_memory=False)\n", + " flows = pd.read_csv(\"flows.csv\", low_memory=False)\n", + "\n", + " stocks[\"Centralisation Date\"] = pd.to_datetime(stocks[\"Centralisation Date\"])\n", + " flows[\"Centralisation Date\"] = pd.to_datetime(flows[\"Centralisation Date\"])\n", + "\n", + " stocks[\"Registrar Account - ID\"] = stocks[\"Registrar Account - ID\"].astype(str).str.strip()\n", + " flows[\"Registrar Account - ID\"] = flows[\"Registrar Account - ID\"].astype(str).str.strip()\n", + "\n", + " stocks[\"Product - Isin\"] = stocks[\"Product - Isin\"].astype(str)\n", + " flows[\"Product - Isin\"] = flows[\"Product - Isin\"].astype(str)\n", + "\n", + " # ============================================================\n", + " # BUILD DATASET\n", + " # ============================================================\n", + "\n", + " df = stocks.merge(\n", + " flows,\n", + " on=[\"Registrar Account - ID\",\"Product - Isin\",\"Centralisation Date\"],\n", + " how=\"left\"\n", + " )\n", + "\n", + " df[\"Quantity - NetFlows\"] = df[\"Quantity - NetFlows\"].fillna(0)\n", + "\n", + " df = df.sort_values(\n", + " [\"Registrar Account - ID\",\"Product - Isin\",\"Centralisation Date\"]\n", + " )\n", + "\n", + " # ============================================================\n", + " # ACCOUNTING IDENTITY\n", + " # ============================================================\n", + "\n", + " df[\"prev_aum\"] = (\n", + " df.groupby([\"Registrar Account - ID\",\"Product - Isin\"])\n", + " [\"Quantity - AUM\"]\n", + " .shift(1)\n", + " )\n", + "\n", + " df[\"flow_lag\"] = (\n", + " df.groupby([\"Registrar Account - ID\",\"Product - Isin\"])\n", + " [\"Quantity - NetFlows\"]\n", + " .shift(1)\n", + " ).fillna(0)\n", + "\n", + " df[\"expected_aum\"] = df[\"prev_aum\"] + df[\"flow_lag\"]\n", + "\n", + " df[\"gap\"] = df[\"Quantity - AUM\"] - df[\"expected_aum\"]\n", + "\n", + " df[\"rel_error\"] = (\n", + " df[\"gap\"].abs() /\n", + " df[\"expected_aum\"].abs().clip(lower=1)\n", + " )\n", + "\n", + " # ============================================================\n", + " # ACCOUNT LEVEL ERROR\n", + " # ============================================================\n", + "\n", + " account_error = (\n", + " df.groupby([\"Centralisation Date\",\"Registrar Account - ID\"])\n", + " [\"rel_error\"]\n", + " .mean()\n", + " .reset_index()\n", + " )\n", + "\n", + " RUPTURE_THRESHOLD = 0.5\n", + "\n", + " ruptures = account_error[\n", + " account_error[\"rel_error\"] > RUPTURE_THRESHOLD\n", + " ]\n", + "\n", + " # ============================================================\n", + " # BUILD PORTFOLIO MATRICES\n", + " # ============================================================\n", + "\n", + " portfolio = (\n", + " stocks\n", + " .pivot_table(\n", + " index=[\"Centralisation Date\",\"Registrar Account - ID\"],\n", + " columns=\"Product - Isin\",\n", + " values=\"Quantity - AUM\",\n", + " aggfunc=\"sum\"\n", + " )\n", + " .fillna(0)\n", + " )\n", + "\n", + " flows_matrix = (\n", + " flows\n", + " .pivot_table(\n", + " index=[\"Centralisation Date\",\"Registrar Account - ID\"],\n", + " columns=\"Product - Isin\",\n", + " values=\"Quantity - NetFlows\",\n", + " aggfunc=\"sum\"\n", + " )\n", + " .fillna(0)\n", + " )\n", + "\n", + " # ============================================================\n", + " # SCORE COMPUTATION\n", + " # ============================================================\n", + "\n", + " error_matrix = (\n", + " account_error\n", + " .pivot(\n", + " index=\"Centralisation Date\",\n", + " columns=\"Registrar Account - ID\",\n", + " values=\"rel_error\"\n", + " )\n", + " .fillna(0)\n", + " )\n", + "\n", + " dates = error_matrix.index.values\n", + " errors = error_matrix.values\n", + "\n", + " scores = np.ones(errors.shape[1])\n", + "\n", + " score_history = []\n", + "\n", + " for i in range(len(dates)-1, -1, -1):\n", + "\n", + " quality = np.exp(-5 * errors[i])\n", + "\n", + " scores = scores * quality\n", + "\n", + " score_history.append({\n", + " \"date\": dates[i],\n", + " \"sum_scores\": scores.sum()\n", + " })\n", + "\n", + " score_timeline = (\n", + " pd.DataFrame(score_history)\n", + " .sort_values(\"date\")\n", + " )\n", + "\n", + " initial_score = score_timeline[\"sum_scores\"].iloc[-1]\n", + "\n", + " score_timeline[\"score_retention\"] = (\n", + " score_timeline[\"sum_scores\"] / initial_score\n", + " )\n", + "\n", + " results[name] = score_timeline.copy()\n", + "\n", + " # ============================================================\n", + " # CODE SURGERY\n", + " # ============================================================\n", + "\n", + " code_changes = detect_code_changes_fast(\n", + " portfolio,\n", + " flows_matrix,\n", + " ruptures,\n", + " score_timeline\n", + " )\n", + "\n", + " code_changes_results[name] = code_changes\n", + "\n", + "\n", + "# ============================================================\n", + "# BUILD COMPARISON TABLE\n", + "# ============================================================\n", + "\n", + "comparison = (\n", + " results[\"raw\"][[\"date\", \"sum_scores\"]]\n", + " .rename(columns={\"sum_scores\": \"raw_scores\"})\n", + " .merge(\n", + " results[\"clean\"][[\"date\", \"sum_scores\"]]\n", + " .rename(columns={\"sum_scores\": \"clean_scores\"}),\n", + " on=\"date\",\n", + " how=\"outer\"\n", + " )\n", + " .sort_values(\"date\")\n", + ")\n", + "\n", + "comparison[\"improvement\"] = (\n", + " comparison[\"clean_scores\"] - comparison[\"raw_scores\"]\n", + ")\n", + "\n", + "comparison[\"relative_improvement\"] = (\n", + " comparison[\"improvement\"] /\n", + " comparison[\"raw_scores\"].replace(0, np.nan)\n", + ")\n", + "\n", + "print(\"\\n==============================\")\n", + "print(\"RAW VS CLEAN SCORE COMPARISON\")\n", + "print(\"==============================\")\n", + "\n", + "print(comparison.head())\n", + "print(comparison.tail())" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "15c60063-b8e5-43f0-a662-67a2f5601408", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "TOTAL RAW SCORE : 1102753.964620689\n", + "TOTAL CLEAN SCORE : 1102778.1794964853\n", + "ABSOLUTE IMPROVEMENT : 24.21487579634413\n", + "RELATIVE IMPROVEMENT : 2.1958547938363796e-05\n" + ] + } + ], + "source": [ + "total_raw = comparison[\"raw_scores\"].sum()\n", + "total_clean = comparison[\"clean_scores\"].sum()\n", + "\n", + "absolute_gain = total_clean - total_raw\n", + "relative_gain = absolute_gain / total_raw\n", + "\n", + "print(\"TOTAL RAW SCORE :\", total_raw)\n", + "print(\"TOTAL CLEAN SCORE :\", total_clean)\n", + "\n", + "print(\"ABSOLUTE IMPROVEMENT :\", absolute_gain)\n", + "print(\"RELATIVE IMPROVEMENT :\", relative_gain)" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "28f02823-483c-4ed8-bf24-912c5ca7f7d3", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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xcXGsXLnSFpS6du3KypUr2bNnD6dPny5RgBo0aBDVqlVj7ty5dOrUiblz52KxWLj55puL1LtixQp++eUXfvjhBxYuXMiXX35Jr169WLx48WWP0V9V0u/EwYMH6d27N82aNeONN94gKCgIZ2dnfvzxR958881ifVSSn6XVaqVPnz48/vjjlxxbGOKulavpi8v57LPPuOuuuxgyZAiPPfYYvr6+ODg48Oqrr9r+EUZEyjcFKBEplwpnHDt16hQADRs2xGq1smvXrsveZB0cHAzA3r17i8xmlpOTQ3x8vO1fra+kYcOGbN26ld69e1/xsqbLvRdgx44dl/2si2v8oz179lC7dm3c3d2v6nP/zP79+4u8Nk2TAwcO0KpVK6DgQcb79u1j1qxZ3HnnnbZxV7r0rqScnZ0ZNGgQgwYNwmq1cv/99/N///d/PPvsszRq1Ijg4ODLHgv4/Xhda8uWLePs2bN8/fXXRSZ+iI+PLza2Q4cOODs7s3LlSlauXMljjz0GQLdu3fjPf/7DkiVLbK//jLu7OwMHDmTevHm88cYbfPnll3Tt2pXAwMAi4ywWC71796Z379688cYbvPLKKzz99NP88ssvl+29knyHLve+knwnvv/+e7Kzs/nuu++KnF36O7PLNWzYkIyMjD/97gYHB7NkyRIyMjKKnIUq6XPJgoODi31PLvX+q+mLyx2rr776igYNGvD1118XGVNW/1AkIqVPl/CJiF398ssvlzx7UHh/TuElNEOGDMFisfDCCy8U+1fewvdHR0fj7OzMtGnTimzzo48+IjU1lQEDBvxpPbfccgsnTpzgP//5T7F1Fy5cKHZ53cXatm1LSEgIb731VrHpkwvrCQgIIDw8nFmzZhUZs2PHDhYvXkz//v3/tMar9cknn5Cenm57/dVXX3Hq1Cn69esH/H4m4OJjZprm336Q8dmzZ4u8tlgsttBWOP11//79Wbdune2SNSi4B+vDDz+kfv36V325GVzdNOaXc6ljkpOTw/vvv19srKurK+3bt+fzzz/n6NGjRc5AXbhwgWnTptGwYUMCAgJK9Nm33norJ0+e5L///S9bt24tcvkeQHJycrH3FAaiK021X5Lv0KWU9DtxqWOWmprKjBkzLrvtP3PLLbcQFxfHokWLiq1LSUkhLy8PKOijvLy8IlOm5+fn884775Toc/r378+vv/7KunXrbMtOnz7N7Nmzi4y7mr5wd3e/5CV5l9rG2rVri3wHRKR80xkoEbGrBx54gPPnz3PDDTfQrFkzcnJyWLNmDV9++SX169e33dzfqFEjnn76aV588UW6du3KjTfeiIuLC+vXrycwMJBXX30VHx8fJk6cyOTJk7nuuuu4/vrr2bt3L++//z7t27e33adwJXfccQdz587ln//8J7/88gudO3cmPz+fPXv2MHfuXBYtWlTkeTwXs1gsfPDBBwwaNIjw8HBGjhxJQEAAe/bsYefOnbY/Av/973/Tr18/oqKiGD16tG0ac09PzxJPfHA1vL296dKlCyNHjiQxMZG33nqLRo0acc899wDQrFkzGjZsyKOPPsqJEyfw8PDgf//739+6rwgKJr9ITk6mV69e1K1blyNHjvDOO+8QHh5uu8fpySef5PPPP6dfv348+OCDeHt7M2vWLOLj4/nf//5XoksF/+hqpzG/lE6dOlGzZk1GjBjBgw8+iGEYfPrpp5cNGl27duVf//oXnp6etGzZEii4hLFp06bs3buXu+66q8SfXfh8rUcffRQHBweGDh1aZP0LL7zAihUrGDBgAMHBwSQlJfH+++9Tt27dIpNx/FFJvkOXUtLvRN++fW1nHO+9914yMjL4z3/+g6+vr+1M8tV67LHH+O677xg4cKBtivPMzEy2b9/OV199xeHDh6lduzaDBg2ic+fOPPnkkxw+fJiwsDC+/vrrEt9T9Pjjj/Ppp59y3XXX8dBDD9mmMQ8ODmbbtm22cVfTFxEREXz55ZdMmDCB9u3bU716dQYNGsTAgQP5+uuvueGGGxgwYADx8fFMnz6dsLAwMjIy/tJxEpFr7FpO+Sci8kc//fSTOWrUKLNZs2Zm9erVTWdnZ7NRo0bmAw88YCYmJhYb//HHH5tt2rQxXVxczJo1a5rdu3c3Y2Nji4x59913zWbNmplOTk6mn5+fed999xWbPrp79+5m8+bNL1lTTk6OOWXKFLN58+a2z4mIiDAnT55spqam/uk+rVq1yuzTp49Zo0YN093d3WzVqpX5zjvvFBnz888/m507dzbd3NxMDw8Pc9CgQeauXbuKjCmcxvyP01WPGDHCdHd3L/a5f9ynwum8P//8c3PixImmr6+v6ebmZg4YMKDI1OSmaZq7du0yo6OjzerVq5u1a9c277nnHnPr1q3FpoC+3GcXrrt42uavvvrK7Nu3r+nr62s6Ozub9erVM++9917z1KlTRd538OBB86abbjK9vLxMV1dXs0OHDuaCBQuKjCncl3nz5hVZHh8fX6zGq53G/HJ9sHr1ajMyMtJ0c3MzAwMDbVPsA+Yvv/xSZOwPP/xgAma/fv2KLL/77rtNwPzoo4/+tJaLDR8+3ATM6OjoYuuWLFliDh482AwMDDSdnZ3NwMBA87bbbis21ffl/Nl36I/TmJtmyb8T3333ndmqVSvT1dXVrF+/vjllyhTz448/LjYVeHBwsDlgwIBitV3qs9PT082JEyeajRo1Mp2dnc3atWubnTp1Ml977bUijzs4e/aseccdd5geHh6mp6eneccdd5ibN28u0TTmpmma27ZtM7t37266urqaderUMV988UXzo48+KlZ7SfsiIyPDvP32200vLy8TsH03rFar+corr5jBwcGmi4uL2aZNG3PBggXFvj8iUn4Zpvk37rwVEZFya9myZfTs2ZN58+Zx00032bscERGRSkH3QImIiIiIiJSQApSIiIiIiEgJKUCJiIiIiIiUkO6BEhERERERKSGdgRIRERERESkhBSgREREREZESqtIP0rVarZw8eZIaNWpgGIa9yxERERERETsxTZP09HQCAwOv+CD3Kh2gTp48SVBQkL3LEBERERGRcuLYsWPUrVv3suurdICqUaMGUHCQPDw87FxN1WK1Wjl9+jQ+Pj5XTPhS+akXpJB6QQqpF6SQekEuVtb9kJaWRlBQkC0jXE6VDlCFl+15eHgoQF1jVquVrKwsPDw89AuxilMvSCH1ghRSL0gh9YJc7Fr1w5/d2qNOFBERERERKSEFKBERERERkRJSgBIRERERESmhKn0PVElYrVZycnLsXUal4+DgYO8SRERERESumgLUFeTk5BAfH4/VarV3KZWOaZo4OTnh4+Nj71JEREREREpMAeoyTNPk1KlTODg4EBQUpJlfSpFpmmRmZpKQkEBiYiKBgYH2LklEREREpEQUoC4jLy+P8+fPExgYSLVq1exdTqXj6uqK1WrlzJkz+Pn56ZI+EREREakQdFrlMvLz8wFwdna2cyWVl6urKwC5ubl2rkREREREpGQUoP7Enz1IS/46HVsRERERqWgUoEREREREREpIAUpERERERKSEFKAqmbvuugvDMDAMAycnJ0JCQnj88cfJysqyd2kiIiIiIhWeZuGrhK677jpmzJhBbm4uGzduZMSIERiGwZQpU+xdmoiIiIhIhaYzUJWQi4sL/v7+BAUFMWTIEKKjo4mNjQXg7Nmz3HbbbdSpU4dq1arRsmVLPv/8c9t7FyxYgJeXl20Wwi1btmAYBk8++aRtzN13380//vGPa7tTIiIiIlKpZJ1PZ/0XL5OfV7FmZFaAKiHTNDmfk2eX/0zT/Mt179ixgzVr1timY8/KyiIiIoIffviBHTt2MGbMGO644w7WrVsHQNeuXUlPT2fz5s0ALF++nNq1a7Ns2TLbNpcvX06PHj3+ck0iIiIiIts/Hkf7PVPZ+tZQe5dyVXQJXwldyM0nbNIiu3z2rhdiqOZc8h/VggULqF69Onl5eWRnZ2OxWHj33XcBqFOnDo8++qht7AMPPMCiRYuYO3cuHTp0wNPTk/DwcJYtW0a7du1YtmwZDz/8MJMnTyYjI4PU1FQOHDhA9+7dS30/RURERKRq2Lr4E9qfmY/VNLC0H2Xvcq6KzkBVQj179mTLli2sXbuWESNGMHLkSIYOLUj2+fn5vPjii7Rs2RJvb2+qV6/OokWLOHr0qO393bt3Z9myZZimycqVK7nxxhsJDQ1l1apVLF++nMDAQBo3bmyv3RMRERGRCizp2AFC1hTcHhIX8A/Cuw+xb0FXSWegSsjNyYFdL8TY7bOvhru7O40aNQLg448/pnXr1nz00UeMHj2af//737z99tu89dZbtGzZEnd3d8aPH09OTo7t/T169ODjjz9m69atODk50axZM3r06MGyZcs4d+6czj6JiIiIyF+Sn5fL2U9HEEomex2b0H7k6/Yu6aopQJWQYRhXdRldeWGxWHjqqaeYMGECt99+O6tXr2bw4MG2SSCsViv79u0jLCzM9p7C+6DefPNNW1jq0aMH//rXvzh37hyPPPKIXfZFRERERCq2DZ88RcecHWSYblS7bSbOLi72Lumq6RK+KuDmm2/GwcGB9957j8aNGxMbG8uaNWvYvXs39957L4mJiUXG16xZk1atWjF79mzbZBHdunVj06ZN7Nu3T2egREREROSq7Vm7kHZH/gPArrbPE9SwuX0L+osUoKoAR0dHxo0bx9SpU3nkkUdo27YtMTEx9OjRA39/f4YMGVLsPd27dyc/P98WoLy9vQkLC8Pf35+mTZte2x0QERERkQotLTkJr5/G4mCYrPOIof3199q7pL/sqgPUihUrGDRoEIGBgRiGwfz5823rcnNzeeKJJ2z31gQGBnLnnXdy8uTJIttITk5m+PDheHh44OXlxejRo8nIyCgyZtu2bXTt2hVXV1eCgoKYOnVqsVrmzZtHs2bNcHV1pWXLlvz4449XuzuVzsyZM4v8TAo9+eSTJCUlUadOHebPn096ejqJiYm8+OKLzJo1q9h73nrrLUzTpFmzZrZlW7Zs4dSpU2W8ByIiIiJSmeTn5XLoo7vw5wzHjEBCR0/HMAx7l/WXXXWAyszMpHXr1rz33nvF1p0/f55Nmzbx7LPPsmnTJr7++mv27t3L9ddfX2Tc8OHD2blzJ7GxsSxYsIAVK1YwZswY2/q0tDT69u1LcHAwGzdu5N///jfPP/88H374oW3MmjVruO222xg9ejSbN29myJAhDBkyhB07dlztLomIiIiISBnISE1m5+v9Cc9cTY7pwPnrP6SGp7e9y/pbDPNvPKXVMAy++eabS14CVmj9+vV06NCBI0eOUK9ePXbv3k1YWBjr16+nXbt2ACxcuJD+/ftz/PhxAgMD+eCDD3j66adJSEiwPQD2ySefZP78+ezZsweAW2+9lczMTBYsWGD7rMjISMLDw5k+fXqJ6k9LS8PT05PU1FQ8PDyKrMvKyiI+Pp6QkBBcXV2v5rBICZimSUZGBseOHaNBgwY6xlWY1WolKSkJX19fLBZdVVyVqRekkHpBCqkXKrZTh3eT88nNBFuPccF0Zmfkv2nX766/vL2y7ocrZYOLlfm0cqmpqRiGgZeXFwBxcXF4eXnZwhNAdHQ0FouFtWvXcsMNNxAXF0e3bt1s4QkgJiaGKVOmcO7cOWrWrElcXBwTJkwo8lkxMTGXvHytUHZ2NtnZ2bbXaWlpQMEPw2q1FhlrtVoxTdP2n5S+wuN6qeMvVUfhd009IOoFKaRekELqhYpr77pFBCy8hwDSScKb5Otn0LZNt7/1syzrfijpdss0QGVlZfHEE09w22232VJcQkICvr6+RYtwdMTb25uEhATbmJCQkCJj/Pz8bOtq1qxJQkKCbdnFYwq3cSmvvvoqkydPLrb89OnTZGVlFVmWm5uL1WolLy+PvLy8Eu6xlFRh81utVs6ePYuTk5O9SxI7sVqtpKamYpqm/nWxilMvSCH1ghRSL1RM+3/5hI57/oWzkc8+S0NyB/8ftfyCSEpK+lvbLet+SE9PL9G4MgtQubm53HLLLZimyQcffFBWH3NVJk6cWOSsVVpaGkFBQfj4+FzyEr709HQcHR1xdKx4z3+qCCwWCxaLhVq1aukSvirMarViGAY+Pj76P8cqTr0ghdQLUki9UPGs/+wZuh56DwzY6N6Npv/8lGrul78c7mqUdT+U9O/RMkkGheHpyJEjLF26tEg48ff3L5Y+8/LySE5Oxt/f3zbmj88mKnz9Z2MK11+Ki4sLLpd4WFfhH/J/XGYYhu0/KV2madqO66WOv1QthmGoDwRQL8jv1AtSSL1QcaybPZmOhwommlsdOIKo0W9icXAo1c8oy34o6TZL/ZMLw9P+/fv5+eefqVWrVpH1UVFRpKSksHHjRtuypUuXYrVa6dixo23MihUryM3NtY2JjY2ladOm1KxZ0zZmyZIlRbYdGxtLVFRUae+SiIiIiIhcwbovXqHD/jcAWBM0hs5jppV6eCovrjpAZWRksGXLFrZs2QJAfHw8W7Zs4ejRo+Tm5nLTTTexYcMGZs+eTX5+PgkJCSQkJJCTkwNAaGgo1113Hffccw/r1q1j9erVjBs3jmHDhhEYGAjA7bffjrOzM6NHj2bnzp18+eWXvP3220Uuv3vooYdYuHAhr7/+Onv27OH5559nw4YNjBs3rhQOi4iIiIiIlMT6ea/RYc8UANbUGUnUyCl2rqhsXXWA2rBhA23atKFNmzYATJgwgTZt2jBp0iROnDjBd999x/HjxwkPDycgIMD235o1a2zbmD17Ns2aNaN3797079+fLl26FHnGk6enJ4sXLyY+Pp6IiAgeeeQRJk2aVORZUZ06dWLOnDl8+OGHtG7dmq+++or58+fTokWLv3M8RERERESkhNZ//Tbtd74IwBq/4USNfgOjkl9uedX3QPXo0eOK03qXZMpvb29v5syZc8UxrVq1YuXKlVccc/PNN3PzzTf/6edJcSV5hpeIiIiIyOVs/P4DIrY+BwbE+dxM1L3vVvrwBGVwD5SUDwkJCTzwwAM0aNAAFxcXgoKCGDRoULH7xkRERERErtaBratoteFpLIbJr7WGEHnfh1UiPME1eJCuXHuHDx+mc+fOeHl58e9//5uWLVuSm5vLokWLGDt2LHv27LF3iSIiIiJSQWVnZeL07T9xMvLZVK0LHe7/uMqEJ9AZqErp/vvvxzAM1q1bx9ChQ2nSpAnNmzdnwoQJ/Prrr5d8z7Fjx7jlllvw8vLC29ubwYMHc/jwYdv69evX06dPH2rXro2npyfdu3dn06ZNRbZhGAb//e9/ueGGG6hWrRqNGzfmu+++K8tdFREREZFrbPOsxwi2HuMMXtS/6z+Vdra9y1GAKinThJxM+/xXgvvKCiUnJ7Nw4ULGjh2Lu7t7sfVeXl7FluXm5hITE0ONGjVYuXIlq1evpnr16lx33XW22RPT09MZMWIEq1at4tdff6Vx48b079+/2BObJ0+ezC233MK2bdvo378/w4cPJzk5+eqOtYiIiIiUS3vWLqTDyYK5DI51+RfevoF2ruja0yV8JZV7Hl6xU4M8dRKci4ehSzlw4ACmadKsWbMSb/7LL7/EarXy3//+1/Zw2xkzZuDl5cWyZcvo27cvvXr1KvKeDz/8EC8vL5YvX87AgQNty++66y5uu+02AF555RWmTZvGunXruO6660pcj4iIiIiUP5npKdRY+CAWw2SdV386RN9m75LsQmegKpmSzIL4R1u3buXAgQPUqFGD6tWrU716dby9vcnKyuLgwYMAJCYmcs8999C4cWM8PT3x8PAgIyODo0ePFtlWq1atbP/b3d0dDw8PkpKS/t5OiYiIiIjd7Zz5IHXMRBKoTbOR79m7HLvRGaiScqpWcCbIXp9dQo0bN8YwjKuaKCIjI4OIiAhmz55dbJ2Pjw8AI0aM4OzZs7z99tsEBwfj4uJCVFSU7RI/W6lOTkVeG4aB1WotcS0iIiIiUv5sX/YVHc5+C8CZ6Ldo4elt54rsRwGqpAyjxJfR2ZO3tzcxMTG89957PPjgg8Xug0pJSSl2H1Tbtm358ssv8fX1xcPD45LbXb16Ne+//z79+/cHCiadOHPmTJnsg4iIiIiUH6nJp/Fb9hgAv/rcTGSXQXauyL50CV8l9N5775Gfn0+HDh343//+x/79+9m9ezfTpk0jKiqq2Pjhw4dTu3ZtBg8ezMqVK4mPj2fZsmU8+OCDHD9+HCg4s/Xpp5+ye/du1q5dy/Dhw3Fzc7vWuyYiIiIi19D2ZV+R9k43fEnmqBFI67vetHdJdqcAVQk1aNCATZs20bNnTx555BFatGhBnz59WLJkCR988EGx8dWqVWPFihXUq1ePG2+8kdDQUEaPHk1WVpbtjNRHH33EuXPnaNu2LXfccQcPPvggvr6+13rXREREROQaOBm/hy1T+9Fy2WiCzJOcwYvswf/Bzb2GvUuzO8P8K7MOVBJpaWl4enqSmppa7NK1rKws4uPjCQkJwdXV1U4VVl6maZKRkcGxY8do0KCBjnEVZrVaSUpKwtfXF0sVegifFKdekELqBSmkXrj2ss6ns/XzyYQfnYmLkUuu6cAG/1tofvsreNj5vqey7ocrZYOL6R4oERERERHh4LZVuH4zmo5mAhiw3TmcGje8QVRohL1LK1cUoEREREREqjDTamX9V/8mfOdUnI08EqnF8Y7P0jZmBIbO/BWjACUiIiIiUkVlpCWz9z+j6JD+Cxiw2S2KBvd8QoS37nW/HAUoEREREZEq6NCOX3H630gizJPkmg6sb/QQkbc/i8VBZ52uRAFKRERERKSK2bRwJmFxj+Jq5JJAbc4N+D86dYi2d1kVggLUn6jCkxSWOR1bERERkWtvS+xsWsZNwMnIZ4trB4Lv/pTQ2v72LqvCUIC6DCcnJwzD4PTp0/j4+GAYhr1LqjRM0yQnJ4eEhAQsFgvOzs72LklERESkSti27CvCVj2Ik5HPBo9o2jz4JQ6OigRXQ0frMhwcHKhbty7Hjx/n8OHD9i6n0jFNE8MwCAkJ0XMdRERERK6Bnau+p8kv/8TZyGOjezfCH/hc4ekv0BG7gurVq9O4cWNyc3PtXUqlYxgGycnJOvskIiIicg3sWbuIkNjRuBq5bHGLouWDX+HopL/D/goFqD/h4OCAg4ODvcuodKxWqy6LFBEREbkG9m9aRt0fR1DNyGabawTNHvwfzi4u9i6rwtK1UyIiIiIildS2pV8S+O2tVDcusNO5FY0f+BZXN3d7l1Wh6QyUiIiIiEglY1qtrPv8JdrvewOLYbLDuTX1H/gON/ca9i6twlOAEhERERGpRHKys9jyf6PpmLwADFhbcxBt/vlfnF1c7V1apaAAJSIiIiJSSaSeTeD4/91Mh5xt5JsG65o8QuRtT2No1uNSowAlIiIiIlIJHDuwHcvsm2huJpBhunGg29tE9b7V3mVVOgpQIiIiIiIV3JHdG3H/8kZqk8IJw4/sW2YTHtbe3mVVSgpQIiIiIiIV2KEdv1Lzq5upSRqHLPXxuPcH6vjVtXdZlZYClIiIiIhIBXVgy0p85t+KJ5nsd2iEz30/4lXbz95lVWq6m0xEREREpALau2EJvvNvwZNM9jg2w3fcIoWna0BnoEREREREKpg9634m6IfhuBtZ7HJqQdC476nh6W3vsqoEBSgRERERkQokfuc6An+8E3cjix3O4TR48DuqVfe0d1lVhgKUiIiIiEgFcerIXtzn3YoHmexxCqPhQwtwc69h77KqFN0DJSIiIiJSASQnHidv5hB8SeawpR4B/5yv8GQHClAiIiIiIuVcRto5zv5nMEHmSRLwwW30t3jW0oQR9qAAJSIiIiJSjuVkXeDwezfQOO8A56hB9m1f4Vengb3LqrIUoEREREREyqn0lLPsfOcmWmRv5rzpQtL1swluGm7vsqo0TSIhIiIiIlLOmFYrm378iOANL9GGFHJMBw72/j9atu1u79KqPAUoEREREZFy5Pj+raR89RAR2ZsBOGoEktb3NVp2GmDnygQUoEREREREyoWs8xlsmTOJtsdmUdfII8t0YlPwaNre9hz13KrZuzz5jQKUiIiIiIgdFV6uV2fDFCI5DQZsdW1PrZun0alhmL3Lkz9QgBIRERERsZO9G36GhU8RkbcXgERqcbzjJNrG3Ilh0Xxv5dFV/1RWrFjBoEGDCAwMxDAM5s+fX2T9119/Td++falVqxaGYbBly5Zi28jKymLs2LHUqlWL6tWrM3ToUBITE4uMOXr0KAMGDKBatWr4+vry2GOPkZeXV2TMsmXLaNu2LS4uLjRq1IiZM2de7e6IiIiIiFxzJ+P3sPH1ITRdMJSmeXvJNF2IC/4nHo9tJaLfXQpP5dhV/2QyMzNp3bo177333mXXd+nShSlTplx2Gw8//DDff/898+bNY/ny5Zw8eZIbb7zRtj4/P58BAwaQk5PDmjVrmDVrFjNnzmTSpEm2MfHx8QwYMICePXuyZcsWxo8fz913382iRYuudpdERERERMpcTtYFNv00g23/isZvZiQR6b9gNQ3Weg3g/L3riRo5BTf3GvYuU/7EVV/C169fP/r163fZ9XfccQcAhw8fvuT61NRUPvroI+bMmUOvXr0AmDFjBqGhofz6669ERkayePFidu3axc8//4yfnx/h4eG8+OKLPPHEEzz//PM4Ozszffp0QkJCeP311wEIDQ1l1apVvPnmm8TExFztbomIiIiIlIn4nWtJXP5fmib9RFvSCxYasM01gmr9X6Jjq072LVCuyjW/B2rjxo3k5uYSHR1tW9asWTPq1atHXFwckZGRxMXF0bJlS/z8/GxjYmJiuO+++9i5cydt2rQhLi6uyDYKx4wfP/6yn52dnU12drbtdVpaGgBWqxWr1VpKeyglYbVaMU1Tx13UC2KjXpBC6gUpVFF74UJmOgfWLSRr9yLqnF1DiHmKkN/WJeHNgcBB1Ol5Ny0atgCocPtnL2XdDyXd7jUPUAkJCTg7O+Pl5VVkuZ+fHwkJCbYxF4enwvWF6640Ji0tjQsXLuDm5lbss1999VUmT55cbPnp06fJysr6y/skV89qtZKamoppmlh0jW+Vpl6QQuoFKaRekEIVqRfOZ6ZxbPWXeB1fQrPsHbQ2cm3rckwHtlaLIif0JoLb9qGBY8Gf4ElJSfYqt0Iq635IT08v0bgqNQvfxIkTmTBhgu11WloaQUFB+Pj44OHhYcfKqh6r1YphGPj4+JT7X4hSttQLUki9IIXUC1KoIvTCkd0bSPrlA1qc/pEGxm//IG/AKWpz1Lszjk2iadRxABGeNe1baCVQ1v3g6upaonHXPED5+/uTk5NDSkpKkbNQiYmJ+Pv728asW7euyPsKZ+m7eMwfZ+5LTEzEw8PjkmefAFxcXHBxcSm23GKxlNsvZWVmGIaOvQDqBfmdekEKqRekUHnshdycbLYvmY3r5o8Jy9lecHmeAUeNOpxocBMB7YcQ3CScgHJUc2VRlv1Q0m1e8wAVERGBk5MTS5YsYejQoQDs3buXo0ePEhUVBUBUVBQvv/wySUlJ+Pr6AhAbG4uHhwdhYWG2MT/++GORbcfGxtq2ISIiIiJSmk6fOMTBhe/R6NhXtCUFgDzTwrbqnXGKvIcWnQdRT6Gp0rvqAJWRkcGBAwdsr+Pj49myZQve3t7Uq1eP5ORkjh49ysmTJ4GCcAQFZ4z8/f3x9PRk9OjRTJgwAW9vbzw8PHjggQeIiooiMjISgL59+xIWFsYdd9zB1KlTSUhI4JlnnmHs2LG2M0j//Oc/effdd3n88ccZNWoUS5cuZe7cufzwww9/+6CIiIiIiACYVis71ywgN+5DWmasJtIomGjgDF7srzuUkJixtA1qaOcq5Vq66gC1YcMGevbsaXtdeE/RiBEjmDlzJt999x0jR460rR82bBgAzz33HM8//zwAb775JhaLhaFDh5KdnU1MTAzvv/++7T0ODg4sWLCA++67j6ioKNzd3RkxYgQvvPCCbUxISAg//PADDz/8MG+//TZ169blv//9r6YwFxEREZG/JS3lDAfX/UTuviXUObuGFuZvt40YsMupJefD76JV9D+IcinZPTNSuRimaZr2LsJe0tLS8PT0JDU1VZNIXGNWq9V2iWZ5uqZZrj31ghRSL0gh9YIUupa9cOrwHo4s+Q81T62iUe5eHIzf/0TONF3ZUfs6fHqNpUHzDmVah1xeWfdDSbNBlZqFT0RERETkYge2rCBtyRu0TltGQGFo+m1CiJO1InFu2psmHfvT0UOz6EkBBSgRERERqVJMaz7bl32Fw6/v0jxnW8FCA7a7tOVC0yHUa9efevUaU8++ZUo5pQAlIiIiIlVG6rnTJLw3gFZ5BROd5ZoObPHsTc0+E2jZUrM5y59TgBIRERGRKiHrQiYnPhhCWN5eMkw3tvvfQMjAR2gf1MjepUkFogAlIiIiIpWeNS+PXe8No23ODtJNN5Ju/paoFh3tXZZUQJraRkREREQqNdNqZf3/3UvbjBXkmI4c6fMfGio8yV+kACUiIiIildraz56j4+mvANjafgotugyyc0VSkSlAiYiIiEiltfG7D4g8NA2AuMaP0n7g3XauSCo63QMlIiIiIpXKhYw09q75lrxdC2h9LhYMiPO7jcjbn7F3aVIJKECJiIiISIWXmnyafcs/x2n/TzTLXE+4kVuwwoB1Hn3oOOY9DMOwb5FSKShAiYiIiEiFlpOdRda0jrTnbMECA04Yfhz16UH11oNpH9UPw6I7V6R0KECJiIiISIW2e9V8WnOWNNzZETQcn/ZDadSiA3UUmqQMKECJiIiISIWWu7Vghr1dPv3pNPrfdq5GKjvFchERERGpsLLOZxCauhIArw7D7FyNVAUKUCIiIiJSYe1e8RXuRhYJ+NCkbS97lyNVgAKUiIiIiFRY5o6vAYj374vFQX/aStlTl4mIiIhIhZSZnkJoehwAtSNvs3M1UlUoQImIiIhIhbRn+TzcjByOGwE0atXZ3uVIFaEAJSIiIiIVkmVXweV7xwKv03Oe5JpRp4mIiIhIhZOWcobmmesA8Ot8u52rkapEAUpEREREKpy9y77A2cjjsCWIkND29i5HqhAFKBERERGpcFz2zAfgVN0BGIZh32KkSlGAEhEREZEKJeX0KUIvbAKgTlddvifXlgKUiIiIiFQo+5bPwcnI54BDQ+o1bm3vcqSKUYASERERkQql2v7vADgd3N/OlUhVpAAlIiIiIhXGtiVfEJq1FYDgbnfYuRqpihztXYCIiIiIyJ9JPZvA/k/G0S41FgzY6tqe1vWb2rssqYJ0BkpEREREyrUtiz8h952OtEuNJd80iPO7nSYPzLd3WVJF6QyUiIiIiJRLiccPcvzzh2l/YSUAhy1BXOg/jah2vexcmVRlClAiIiIiUm6knU1izy+f4b7vG0KztxNgmOSZFtbVHUHbf7yCq1s1e5coVZwClIiIiIjYVU52FtuXfIbDjq8Iy1xHByO/YIUBOxyb4zxgCp3adLVvkSK/UYASEREREbs4m3iM/T9Mo9HRuUSQUrDQgIOWEJLqD6Re139Q280LX19fu9YpcjEFKBERERG5pg5sXUXK0mm0SllCpJEHQBLeHKwzmIAud9AwNIKGgNVqJSkpyb7FivyBApSIiIiIlLm83By2LZmD68b/EJa7o2ChAXsdm5Iefg+t+txJlIuLfYsUKQEFKBEREREpM6nJp9n9wzvUPziHtpwGINd0YKtHD6p3H0czzagnFYwClIiIiIiUqpzsLPatXcj5Lf+jxdlFRBrZAJzDgz11htKw/0O0qxNi5ypF/hoFKBERERH529KSk9i/+mvY+xNN09fSwrhQsMKAQ5b6nG0xipbXjSaqWnX7FiryNylAiYiIiMhfkp2Vyc5fvsRx2+eEnd9AhGEtWGHAGbw4WLMr7u1upXnUABpYLPYtVqSUKECJiIiISImZVisHNi/n3JqZNDsbS1syC1YYcMgSTEJAL7zbDqZJeDdqOzjYt1iRMqAAJSIiIiJXZpoc2b2BU3FfEHjiJxpbT9hWJVCbQ3UGUbfHKBo0bkUDO5Ypci0oQImIiIjIJR3ds4GTqz8n4MQigq3HCP5t+QXTmR2e3XFtfwdhnQbirzNNUoUoQImIiIgIALk5WexbF0vG9gUEJq2gnnmSer+tyzEd2VmtPbnNBtOsx6209/S2a60i9nLVd/OtWLGCQYMGERgYiGEYzJ8/v8h60zSZNGkSAQEBuLm5ER0dzf79+4uMSU5OZvjw4Xh4eODl5cXo0aPJyMgoMmbbtm107doVV1dXgoKCmDp1arFa5s2bR7NmzXB1daVly5b8+OOPV7s7IiIiIlXauaQTbJj/Lpteu56sV+rT/Od/0DHxC4LMk+SYjmx2i2Jd+KtceHgfbZ5YSIfB9+Gh8CRV2FWfgcrMzKR169aMGjWKG2+8sdj6qVOnMm3aNGbNmkVISAjPPvssMTEx7Nq1C1dXVwCGDx/OqVOniI2NJTc3l5EjRzJmzBjmzJkDQFpaGn379iU6Oprp06ezfft2Ro0ahZeXF2PGjAFgzZo13Hbbbbz66qsMHDiQOXPmMGTIEDZt2kSLFi3+zjERERERqbRMq5X4nWtJ2vgdNU8spXHOXtoZpm39WTw56BmFQ7N+NO50PW0UlkSKMEzTNP982GXebBh88803DBkyBCg4+xQYGMgjjzzCo48+CkBqaip+fn7MnDmTYcOGsXv3bsLCwli/fj3t2rUDYOHChfTv35/jx48TGBjIBx98wNNPP01CQgLOzs4APPnkk8yfP589e/YAcOutt5KZmcmCBQts9URGRhIeHs706dNLVH9aWhqenp6kpqbi4eHxVw+D/AVWq5WkpCR8fX2xaFrTKk29IIXUC1JIvVD6TKuVA1tWkPzrbOonLcGPs0XWH3BoyGn/HtRsO4jG4d1wKCf3NKkX5GJl3Q8lzQaleg9UfHw8CQkJREdH25Z5enrSsWNH4uLiGDZsGHFxcXh5ednCE0B0dDQWi4W1a9dyww03EBcXR7du3WzhCSAmJoYpU6Zw7tw5atasSVxcHBMmTCjy+TExMcUuKRQRERGpqk4c2Mbx5Z9Q5/gCGpunbMvPmy7srdaW7AZ9qB91A43qNqCRHesUqUhKNUAlJCQA4OfnV2S5n5+fbV1CQgK+vr5Fi3B0xNvbu8iYkJCQYtsoXFezZk0SEhKu+DmXkp2dTXZ2tu11WloaUJBmrVZrifdT/j6r1Yppmjruol4QG/WCFFIv/HXnM1KI3/gzmXuX4XM6job5h6hTuM50YadHFxxa3kTTToNoXc3d9r7yeqzVC3Kxsu6Hkm63Ss3C9+qrrzJ58uRiy0+fPk1WVpYdKqq6rFYrqampmKapU/JVnHpBCqkXpJB6oeRMq5WT+zZwftdiaievp1Hufloa+bb1eaaF7S5tSA0ZSL0OAwlyL7gsKT0jk/SMTHuVXWLqBblYWfdDenp6icaVaoDy9/cHIDExkYCAANvyxMREwsPDbWOSkpKKvC8vL4/k5GTb+/39/UlMTCwypvD1n40pXH8pEydOLHLZX1paGkFBQfj4+OgeqGvMarViGAY+Pj76hVjFqRekkHpBCqkX/sRvD7VNjJtD0MmfiDAv+nvIgBOGH8c922GEdKV+hwG09qtrv1r/JvWCXKys+6Fwwrs/U6oBKiQkBH9/f5YsWWILTGlpaaxdu5b77rsPgKioKFJSUti4cSMREREALF26FKvVSseOHW1jnn76aXJzc3FycgIgNjaWpk2bUrNmTduYJUuWMH78eNvnx8bGEhUVddn6XFxccHFxKbbcYrHoS2kHhmHo2AugXpDfqRekkHrh0rb+MhevlS8QYj1G4c0O500XdteIIi+kF3XbxBAY0pQ6hmHXOkuTekEuVpb9UNJtXnWAysjI4MCBA7bX8fHxbNmyBW9vb+rVq8f48eN56aWXaNy4sW0a88DAQNtMfaGhoVx33XXcc889TJ8+ndzcXMaNG8ewYcMIDAwE4Pbbb2fy5MmMHj2aJ554gh07dvD222/z5ptv2j73oYceonv37rz++usMGDCAL774gg0bNvDhhx9e7S6JiIiIlHt7N/xMs2X342Lkkm06sdO9A/lhNxLW/WYianjauzyRKuOqA9SGDRvo2bOn7XXhJXEjRoxg5syZPP7442RmZjJmzBhSUlLo0qULCxcuLHJKbPbs2YwbN47evXtjsVgYOnQo06ZNs6339PRk8eLFjB07loiICGrXrs2kSZNsz4AC6NSpE3PmzOGZZ57hqaeeonHjxsyfP1/PgBIREZFK59SRvdReMAoXI5fNblE0GDObtjVr2bsskSrpbz0HqqLTc6DsR891kELqBSmkXpBC6oWiMtKSOf1WD0KsRzjo0AD/8b/gXsPL3mVdE+oFuVh5eQ6UOlFERESknMrPy+PgB7cSYj3CaWpS7a6vqkx4EimvFKBEREREyqn1H95P6wvryDKdSB40k4CghvYuSaTKU4ASERERKYfWzXuNyKQvAdjZcSpNI3rYtyARAarYg3RFREREyqP8vFyO7FrPmd0rcTixHv/0bXT47flOa4Lvo1P/UXauUEQKKUCJiIiIXGumyfED2zmx4TuqHfmFhhe208DIpsEfhv1a+0aiRrxilxJF5NIUoERERESugYzUZA5tWEzWnsXUObOKumYidQtXGpBmVuOwayiZPm2o1qgT9Vt1I9Lbx54li8glKECJiIiIlIHMtHMc2rSEzL2/4H16HQ1z99PK+P3pMTmmA3tdWpIR1BPfNv2oH9qOVg4OdqxYREpCAUpERESkFCQdP8TxbcvIPRyHd/JmQnIP0tKw/j7AgONGAMdrdsQ5tC9NIgfQUlOSi1Q4ClAiIiIif4FptbJ3fSzpcR8TlLIRf07je/EAA04Yfhz3bIcR0pWgtn2pG9Tw98v2RKRCUoASERERuQrpqcnsWvghvnvn0Mx6xLY8z7QQ7xjCWe82OAZHEtiyB3WCG1PHjrWKSOlTgBIRERH5E9lZ5zmwcSmZG7+kxdlFdDSyAbhgOrPduw9ubW8lJLw7jWt40djOtYpI2VKAEhEREfkDa34+h3evJ2nLQqodX0njC9tobuQUrDTgiKUupxrdTuh199LBu7Z9ixWRa0oBSkRERISCe5oO7fiV06tn0ShxIQ1I+f25TAacwYt4zw5U63AXYVH9CLZY7FmuiNiJApSIiIhUaWdOHuHA0o/xOzSfhtbDNPxteabpwoFqrblQtyu+ba4jpFk7ais0iVR5ClAiIiJS5Zw5eYSDK7/A/dCPhGZtJfK35zPlmI7sqNEZS5vbCesyhNYurnauVETKGwUoERERqRISju7n8MrP8Tz8E01zdlO78KG2BuxxCiO1yVCa9R5BW28f+xYqIuWaApSIiIhUWhcy09m55DNcd35Bi+wt+BeuMGCPYzNS6l9HUKdhNGsQas8yRaQCUYASERGRSsW0Wtm76RdS18wk7Gws7YwLAFhNgz3OLUhr0J/6XW6lWVDDP9mSiEhxClAiIiJSoeXl5hC/cy1ndy3D5cSv1M/cRjPSClYacNLw40jQYIJ73U1Y/ab2LVZEKjwFKBEREalw0lLOsnfZFzjv/ZaG57fR2LhQ5AG2500Xdnr1wK3DnYRF9iPQwcFutYpI5aIAJSIiIhXChcx0di2fi2Xn14RlrKW9kVuwwoA0qhHv1pLzAR2pGdqdBq260F4z6IlIGVCAEhERkXLJmp/Poe1xnNm2iGonVtH4wnYijJyClQYcsdTlZN3++EQMIaR5R1o76s8aESl7+k0jIiIi5YJptXLi0C5ObF6IEb8cl/ObaUQ6jQoHFN7PFHAdfp2GExLWnmA92FZErjEFKBEREbGbU0f2cmzTYozDK6mXuoG6nKXuReszTVf2VwsnK6grAW36Ua9pGwIVmkTEjhSgRERE5Jo5c/IIhzcuxHpoBXVS1lPHTCTgovU5pgMHnEM57R1B7fD+NInoSbizi93qFRH5IwUoERERKTXnM1LZu/pbspOPYZ4/h5GVgmN2Ck65adTMPk496wlqXzQ+z7Rw0KkJyb4dqd6sN40ietHMzR3vpCR8fX2x6GyTiJQzClAiIiLyt+Tl5rBr1XfkbP6CsNQVtDGyLzvWahoccmzAmdodcGvaiwYR0TT19C46xmot65JFRP4yBSgRERG5aqbVyoEtK0j+9TMaJS2mFakFKww4YfiR4B5KnosXVhdPcKuJg7s3Ll5+1G/dk0a1/H6fGEJEpIJRgBIREZESO3lwJ0eXz6TOsQU0Nk/alp+jBntr98UrcjhN2/akji69E5FKSgFKRERErigtOYk9sR/jdeBrmuTuJfC35edNF3Z6dMW5zS2EdRlCpCZ7EJEqQAFKREREijGt+ez59SfO/zqDFqnL6WDkApBvGuxwiyA79CbCet1G+xpe9i1UROQaU4ASERERm8Qjezm8/BPqxn9FqJlQsNCAg5YQkhreRKNed9I6oJ59ixQRsSMFKBERkSos63wG+9cv4vyuRQScXk0963H8fluXYbqxo1Zfana5mybhXWio+5pERBSgREREqhrTamXXmu/JXTOdZpnrafnb5XlQ8Fymfc5hZITeQlifEUTqEj0RkSIUoERERKqI3Jwsti2cQc2t/0fz/PiChQYk4U18zU44NulDo44DCfOufeUNiYhUYQpQIiIilVx6yhl2fT+NBgc/JYJkoGAGvW0+A/HpcS8Nwtrjq8vzRERKRAFKRESkkko8spfDP75Oi4Rv6WhkAXAGL/YH307ooPFE1vb7ky2IiMgfKUCJiIhUMge3rCB1yRu0TluGn2GCAfGWYJJa3E3rfncT5VbN3iWKiFRYClAiIiKVQHrKafYu+Yzqe+bSLHdXwUIDtrm0xYwcR8tuNxDioMv0RET+LgUoERGRCio3J4tdy7/CuvVLmqevoZ2RB0CO6cAWz2i8ox+mVasoO1cpIlK5KECJiIhUILnZF9gbt4CsbfNplLyM1mQUrDDgkCWYhPpDaNBrJB3qhti3UBGRSkoBSkREpJzLykxl3+pvydvxLY3TVtOCC7Z1SXhzwO86fDqNoFGrjjQwDDtWKiJS+SlAiYiIlDOm1crxvRtI2LgA92PLaZS1nVZGvm39aWpyoFYP3FrdQItO/enk5GTHakVEqpYyuZs0PT2d8ePHExwcjJubG506dWL9+vW29aZpMmnSJAICAnBzcyM6Opr9+/cX2UZycjLDhw/Hw8MDLy8vRo8eTUZGRpEx27Zto2vXrri6uhIUFMTUqVPLYndERETKXEbKGbYunMGGabdz5oWGBH3Zh/YH3iYsewvORj7H8WON723s6PcV3s8eJOqBmYR3H4yjwpOIyDVVJmeg7r77bnbs2MGnn35KYGAgn332GdHR0ezatYs6deowdepUpk2bxqxZswgJCeHZZ58lJiaGXbt24erqCsDw4cM5deoUsbGx5ObmMnLkSMaMGcOcOXMASEtLo2/fvkRHRzN9+nS2b9/OqFGj8PLyYsyYMWWxWyIiIqXGtOZzePtqTm/5Ec/jy2mUs5vWhmlbf8F0Zq9bOOeDehDQbiD1G7ekrh52KyJid4ZpmuafDyu5CxcuUKNGDb799lsGDBhgWx4REUG/fv148cUXCQwM5JFHHuHRRx8FIDU1FT8/P2bOnMmwYcPYvXs3YWFhrF+/nnbt2gGwcOFC+vfvz/HjxwkMDOSDDz7g6aefJiEhAWdnZwCefPJJ5s+fz549e0pUa1paGp6enqSmpuLh4VGah0H+hNVqJSkpCV9fXyz6g6BKUy9IoarSC6Y1n22LZ1Fz3evUsx4vsi7eCOJU7c64NY+haYe+VKtW3U5V2ldV6QX5c+oFuVhZ90NJs0Gpn4HKy8sjPz/fdiapkJubG6tWrSI+Pp6EhASio6Nt6zw9PenYsSNxcXEMGzaMuLg4vLy8bOEJIDo6GovFwtq1a7nhhhuIi4ujW7dutvAEEBMTw5QpUzh37hw1a9YsVlt2djbZ2dm212lpaUDBD8NqtZbaMZA/Z7VaMU1Tx13UC2JT2XvBtFrZtXwu1ddMpXV+PAAZpht73CPIDu5J3fYDCa7fhOCL3lNZj8Wfqey9ICWnXpCLlXU/lHS7pR6gatSoQVRUFC+++CKhoaH4+fnx+eefExcXR6NGjUhISADAz8+vyPv8/Pxs6xISEvD19S1aqKMj3t7eRcaEhIQU20bhuksFqFdffZXJkycXW3769GmysrL+4h7LX2G1WklNTcU0Tf2LUhWnXpBClbUX8nKzObF1CTU3v0/L/IL7fdNNN9b73Uq96Puo6+FlG5uUlGSnKsuXytoLcvXUC3Kxsu6H9PT0Eo0rk3ugPv30U0aNGkWdOnVwcHCgbdu23HbbbWzcuLEsPq7EJk6cyIQJE2yv09LSCAoKwsfHR5fwXWNWqxXDMPDx8dEvxCpOvSCFKlMvJB3ZxfH1P+ByeCkNz2+mLgVXP5w3XdgUcCtNb5hIDx9/O1dZflWmXpC/R70gFyvrfvjjFXSXUyYBqmHDhixfvpzMzEzS0tIICAjg1ltvpUGDBvj7F/wfRmJiIgEBAbb3JCYmEh4eDoC/v3+xf4XLy8sjOTnZ9n5/f38SExOLjCl8XTjmj1xcXHBxcSm23GKx6EtpB4Zh6NgLoF6Q31XUXsjKSOHg+p/I2rWYgLNrCLQmcPH/E53Fkz0+MTS+4Vm6BNazW50VSUXtBSl96gW5WFn2Q0m3WabPgXJ3d8fd3Z1z586xaNEipk6dSkhICP7+/ixZssQWmNLS0li7di333XcfAFFRUaSkpLBx40YiIiIAWLp0KVarlY4dO9rGPP300+Tm5uL02xSusbGxNG3a9JKX74mIiJSmE3s3cmr9fKofW0aDrJ00v+g5TTmmA3udm5Ma2JVa4f1o0qoTnR0c7FesiIiUmjIJUIsWLcI0TZo2bcqBAwd47LHHaNasGSNHjsQwDMaPH89LL71E48aNbdOYBwYGMmTIEABCQ0O57rrruOeee5g+fTq5ubmMGzeOYcOGERgYCMDtt9/O5MmTGT16NE888QQ7duzg7bff5s033yyLXRIREeF8WjJ7YmfguftzGubtp07hCgOO4c8x70icmvShccf+tKzpbc9SRUSkjJRJgEpNTWXixIkcP34cb29vhg4dyssvv2w7U/T444+TmZnJmDFjSElJoUuXLixcuLDIdYezZ89m3Lhx9O7dG4vFwtChQ5k2bZptvaenJ4sXL2bs2LFERERQu3ZtJk2apGdAiYhIqTKtVg5u+pm01R8TmryEtkYOUHCWaYdbO87X60FgxEBCmrQkyDDsXK2IiJS1Un8OVEWi50DZj57rIIXUC1KovPVC2ukT7Fv8H/wPzqWu9YRt+SGjHica3EyTPqPx869zhS3IX1XeekHsR70gF6u0z4ESERGpqKx5eexZ8w2562YRlr6Gdr/d15RpurDNqzfuUaNo0b43DRz0h5yISFWlACUiIlXamWN7ObZpEWb8KuqlrCOMcwUrDNjt0JTkpsNo3ucuonRPk4iIoAAlIiJVTPLJgxzduIj8Qyupk7IBfzOJ2hetTzGrs8OnPz7d7qZZyw4Yuq9JREQuogAlIiKVWmrSMQ6v/5G8QysIOLeBQGsCF59LyjUd2O/UhGSfjlRr0p1mHWPoUs3dbvWKiEj5pgAlIiKVUl5OFptnP0v44Y9ofdEzmvJMC/sdG3PWpwOujbvTKKI3YV66PE9EREpGAUpERCqdw9tXY84fS/v8eDBgv6UBibU74tqoBw3a9SHUu5a9SxQRkQpKAUpERCqN3OwLbPlsIm2OzsLRsJJMDfa2fY7IgaNprCmQRUSkFChAiYhIpXBi3xbyvryD9vlHwYB17j2of8d7RPnXtXdpIiJSiShAiYhIhWfNzyf7y5E0yD/KWTw52OEF2vcboRn0RESk1ClAiYhIhbflx/+jbf4h0k03csespEOdYHuXJCIilZQuCBcRkQot+0IGdTa9BsC2kNH4KzyJiEgZUoASEZEKbeu8V/Ezz5JAbdrePNHe5YiISCWnACUiIhVW6pmThB36CIDD4Y/g5l7dzhWJiEhlpwAlIiIV1t65z1KdC+x3aEj7QffauxwREakCFKBERKRCOnlgO20SvwHgfPfncXBwsHNFIiJSFShAiYhIhZQ0fyJORj6bXTvSutv19i5HRESqCAUoERGpcPatW0x4xkryTQOP61+xdzkiIlKFKECJiEiFcvrIbiyLnwJgvfdAGoa1s3NFIiJSlehBuiIiUr6ZJqf2buDkr19S61gs9fMP4wNkmi6E3PSSvasTEZEqRgFKRETKrVMHt5E/exh1rScI+G1Znmlhp0trrF0m0KZOfXuWJyIiVZAClIiIlFvHFk2jg/UEWaYTO9zakd1oAI273kRrv4A/f7OIiEgZUIASEZFyyZqXR0jSzwDs6DyNdn1vt3NFIiIimkRCRETKqf0bf8aHc6SZ1WjR7QZ7lyMiIgIoQImISDmVumEuALu9uuHq6mbnakRERAooQImISLljzcuj4eklADi1GmrnakRERH6nACUiIuXO/vWLqUUKqaY7YZ0H2bscERERGwUoEREpd9I2Fly+t8eruy7fExGRckUBSkREypX8vFwanFkKgHNrXb4nIiLliwKUiIiUK/vXLaIWqaRQnbDOA+1djoiISBEKUCIiUq5kbP4KgD1ePXBxcbVzNSIiIkUpQImISLmRn5dL47O/AOAarsv3RESk/FGAEhGRcuPY9uXUJI1z1CCsky7fExGR8kcBSkREyg1zzw8A7K3ZA2dnZ/sWIyIicgkKUCIiUi7k5WTTLHUlAK7hN9m5GhERkUtTgBIRkXJh37qfqEk6ydSgeaf+9i5HRETkkhSgRESkXLjw2+x7+2r2xMlJl++JiEj55GjvAkREpOpKO3OKfUtn4rX/f7TP3Q+Am2bfExGRckwBSkRErqmcrAvs+uVzLNu/JDRzPe2MfAByTQfW1IghKrKfnSsUERG5PAUoERG5Jk4e2sWx2PdpcupbwkkrWGjAPodGJIbcSIMed9DU0RlHJyf7FioiInIFClAiIlJm8nJz2PHLlzhsmkHLrI0E/rY8EW8OBA7Cv8tdNAlrSxPAarWSlJRkz3JFRET+lAKUiIiUuvSUs+xa8A7BBz4lnDMAWE2D7W4R5LcdScuet9BZE0WIiEgFpAAlIiKlJvHoPg7/8DrNE76lo3EBgGQ82BMwhHrR99G6YZidKxQREfl7Sn0a8/z8fJ599llCQkJwc3OjYcOGvPjii5imaRtjmiaTJk0iICAANzc3oqOj2b9/f5HtJCcnM3z4cDw8PPDy8mL06NFkZGQUGbNt2za6du2Kq6srQUFBTJ06tbR3R0RESuDwrnVsen0ItT7qSMfEL6huXOCwJYhfW0ym2hN76HTvO9RVeBIRkUqg1M9ATZkyhQ8++IBZs2bRvHlzNmzYwMiRI/H09OTBBx8EYOrUqUybNo1Zs2YREhLCs88+S0xMDLt27cLV1RWA4cOHc+rUKWJjY8nNzWXkyJGMGTOGOXPmAJCWlkbfvn2Jjo5m+vTpbN++nVGjRuHl5cWYMWNKe7dEROQSju3bwunvnyc8bRn1DRMM2O7chvyosbTqNpT6DnrcoIiIVC6lHqDWrFnD4MGDGTBgAAD169fn888/Z926dUDB2ae33nqLZ555hsGDBwPwySef4Ofnx/z58xk2bBi7d+9m4cKFrF+/nnbt2gHwzjvv0L9/f1577TUCAwOZPXs2OTk5fPzxxzg7O9O8eXO2bNnCG2+8oQAlIlLGTh7axclvn6dNymKCfgtOG9274xkzkZatouxdnoiISJkp9X8a7NSpE0uWLGHfvn0AbN26lVWrVtGvX8FzPeLj40lISCA6Otr2Hk9PTzp27EhcXBwAcXFxeHl52cITQHR0NBaLhbVr19rGdOvWDWfn329CjomJYe/evZw7d660d0tERID0lDOse28UvrM60y51EQ6GyWa3Thy4cSERj31HI4UnERGp5Er9DNSTTz5JWloazZo1w8HBgfz8fF5++WWGDx8OQEJCAgB+fn5F3ufn52dbl5CQgK+vb9FCHR3x9vYuMiYkJKTYNgrX1axZs1ht2dnZZGdn216npRU8h8RqtWK1Wv/yPsvVs1qtmKap4y7qhQrCtFrZungW9da9QAdSwICtLu1w6fMMrdt2B/jbP0P1ghRSL0gh9YJcrKz7oaTbLfUANXfuXGbPns2cOXNsl9WNHz+ewMBARowYUdofd1VeffVVJk+eXGz56dOnycrKskNFVZfVaiU1NRXTNLFYdI9EVaZeKP/OnjxI7qJJtM3eAMBRI5Bj7Z+hYdveAKX27Cb1ghRSL0gh9YJcrKz7IT09vUTjSj1APfbYYzz55JMMGzYMgJYtW3LkyBFeffVVRowYgb+/PwCJiYkEBATY3peYmEh4eDgA/v7+xf4POS8vj+TkZNv7/f39SUxMLDKm8HXhmD+aOHEiEyZMsL1OS0sjKCgIHx8fPDw8/sZey9WyWq0YhoGPj49+IVZx6oXyKzsrk61fTaX1wem4GTnkmI5sCLqLNrc9T10391L/PPWCFFIvSCH1glysrPuhcDK7P1PqAer8+fPFdsjBwcF2SiwkJAR/f3+WLFliC0xpaWmsXbuW++67D4CoqChSUlLYuHEjERERACxduhSr1UrHjh1tY55++mlyc3NxcnICIDY2lqZNm17y8j0AFxcXXFxcii23WCz6UtqBYRg69gKoF8qb8xkpbJ//Fg0OzCSSc2DADudW1Bj6Dp2ahpfpZ6sXpJB6QQqpF+RiZdkPJd1mqQeoQYMG8fLLL1OvXj2aN2/O5s2beeONNxg1ahRQsNPjx4/npZdeonHjxrZpzAMDAxkyZAgAoaGhXHfdddxzzz1Mnz6d3Nxcxo0bx7BhwwgMDATg9ttvZ/LkyYwePZonnniCHTt28Pbbb/Pmm2+W9i6JiFQJaWeT2P3tv2l6dA4dKXjuXhLexLd6mPaDx2HRlOQiIiKlH6Deeecdnn32We6//36SkpIIDAzk3nvvZdKkSbYxjz/+OJmZmYwZM4aUlBS6dOnCwoULi5w2mz17NuPGjaN3795YLBaGDh3KtGnTbOs9PT1ZvHgxY8eOJSIigtq1azNp0iRNYS4icpXOnjrK/u+m0PLkV3Q0Cu4HPW4EcKLFPwkfeC8dXdzsXKGIiEj5YZimadq7CHtJS0vD09OT1NRU3QN1jVmtVpKSkvD19dUp+SpOvWA/pw7v4diCf9H69AJcjFwADlnqc7btA7SJGYHjb5dHXyvqBSmkXpBC6gW5WFn3Q0mzQamfgRIRkfLtyJ6NnP5pCuEpsQQYVjBgj2MoFyLH07rnLTTQpXoiIiKXpQAlIlJFHNi8gvSfp9AmcxXBAAZsc4nA0v0Rmkf2w9C/7oqIiPwpBSgRkcrMNNkV9yP5K16jZdYm2+JN1briHv04rdp2s2NxIiIiFY8ClIhIJWRarexY8TXOq18jLHc3AHmmhc1effC57gnahkbYuUIREZGKSQFKRKSSObBlJdk/PUPL7C0AZJtObK49kKCBE2kf0tS+xYmIiFRwClAiIpXEyfg9nPrmKSLSlgCQYzqy0e9mGt3wFJEB9excnYiISOWgACUiUsGdO32SfV9Npk3CVwQaeVhNg42efahz40tE1dcZJxERkdKkACUiUkGlnjvN7v+9TKtjc+hoZIMB213a4NrvZdqHd7Z3eSIiIpWSApSISAWTmXaO7V9PIezwLCI5Dwbsd2jE+a5P0ar7jRiGYe8SRUREKi0FKBGRCmTjdx/QYNPLRJIOQLwlmHMdH6NNn+F6jpOIiMg1oAAlIlJB7Nu0jNYbn8LRsHLUCCQpYgJt+o0ixMHB3qWJiIhUGQpQIiIVwIXMdNy+vw9Hw8rG6j1o/dA86jk527ssERGRKkfXe4iIVADbZz5EkHmSJLxpNPJDHBWeRERE7EIBSkSknNu+4ms6nP4fAAk9X8ezlp+dKxIREam6FKBERMqxtLNJ+C19BIBfa99Iq+432rkiERGRqk0BSkSkHNs/8158SeaoEUirkW/buxwREZEqTwFKRKSc2rjg/4hIX0qeaeHCwPep5u5h75JERESqPM3CJyJSzpw5eZjDc5+gXcpCANYHjSIqoqedqxIRERFQgBIRKTeyzmewZe5LtIr/mHZGNgDrvPrT7s5X7FyZiIiIFFKAEhGxM9NqZfPCGQSuf5VI8zQYsMexGVz3Kh3a9bJ3eSIiInIRBSgRETs6sms95+c/TNuc7QAkUJtjEU8S0X80FgfdpioiIlLeKECJiNhBZto5dsx5iohTX+BoWLlgOrO53l2ED3uW9posQkREpNxSgBIRuYZMq5VNCz8maN3LdCQZDNhUrQv+t7xBp/pN7V2eiIiI/AkFKBGRayT1bAJH/vMPIrLWA3Dc8OdM1xdp2+sWO1cmIiIiJaUAJSJyDRzZtR6necNpZSaSZTqxKXgUbW97jrpu7vYuTURERK6CApSISBnb+vMcGq18GHcji5OGH1k3f0an5h3sXZaIiIj8BQpQIiJlxLRaWffpM7Q/9D4Ww2SHc2vqjJlLYG1/e5cmIiIif5EClIhIGUg8tp8Tcx+jY/ovYMCvtW8gYsz/4eTsYu/SRERE5G9QgBIRKSXpKWfYs/RT3Pd8TVjONvyAXNOBjc0nEnnLY/YuT0REREqBApSIyN9gWq3sXPkNuetnEpYeR3sj17Zup1NLjF5PExnVz44VioiISGlSgBIR+QtMq5UdS7/A7dfXaZF3oGChAfGWepwKvp76PUbQPLiJfYsUERGRUqcAJSJyFUxrPltjP8Nj3Zu0zI8H4Lzpwhaf66nddSSNW0YRYrHYuUoREREpKwpQIiIldGDTchwXPEC49QgAmaYrWwJvpcmQx+nkV9fO1YmIiMi1oAAlIvInrPn5rJ8zmbYH3sXJyCfddGN73dtoNuQJOvtoSnIREZGqRAFKROQKziYe5dSMEXTM2gQGbHTvTsOR/6FTbT97lyYiIiJ2oAAlInIZO5Z/TcAv42lBKhdMZ7a2eJKOQx/G0D1OIiIiVZYClIjIJayd+QQdD08H4JAlGOOmGUSGRdi5KhEREbE3BSgRkT/Y/etPtvD0a60baD3qXdzcq9u5KhERESkPFKBERC6Sk51FtcWPAbC25vVEPjDTvgWJiIhIuaIL+UVELrLpixcIth4jGQ+a/uN1e5cjIiIi5YwClIjIb04e2kX4oQ8BONDmKbxq+dq5IhERESlvFKBERADTauXM3AdxNXLZ7hxO+0H32rskERERKYcUoEREgM2LZtIqaz05piOeN0/TVOUiIiJySaX+F0L9+vUxDKPYf2PHjgUgKyuLsWPHUqtWLapXr87QoUNJTEwsso2jR48yYMAAqlWrhq+vL4899hh5eXlFxixbtoy2bdvi4uJCo0aNmDlzZmnviohUEekpZ6m3djIAG4Puol7j1nauSERERMqrUg9Q69ev59SpU7b/YmNjAbj55psBePjhh/n++++ZN28ey5cv5+TJk9x444229+fn5zNgwABycnJYs2YNs2bNYubMmUyaNMk2Jj4+ngEDBtCzZ0+2bNnC+PHjufvuu1m0aFFp746IVAG7Zj9ObVI4ZgTSZvgL9i5HREREyrFSn8bcx8enyOt//etfNGzYkO7du5OamspHH33EnDlz6NWrFwAzZswgNDSUX3/9lcjISBYvXsyuXbv4+eef8fPzIzw8nBdffJEnnniC559/HmdnZ6ZPn05ISAivv14wQ1ZoaCirVq3izTffJCYmprR3SUQqqbzcHDZ//z7tk/4HBqT0mkKQm7u9yxIREZFyrEyfA5WTk8Nnn33GhAkTMAyDjRs3kpubS3R0tG1Ms2bNqFevHnFxcURGRhIXF0fLli3x8/OzjYmJieG+++5j586dtGnThri4uCLbKBwzfvz4K9aTnZ1Ndna27XVaWhoAVqsVq9VaCnssJWW1WjFNU8dd7NILuTnZbPvxQwK3v0d7MxEMWOfRl3adB6on7Ui/F6SQekEKqRfkYmXdDyXdbpkGqPnz55OSksJdd90FQEJCAs7Oznh5eRUZ5+fnR0JCgm3MxeGpcH3huiuNSUtL48KFC7i5uV2ynldffZXJkycXW3769GmysrKuev/kr7NaraSmpmKaJhbdrF+lXcteyM3JIn7FbBodmEl7kgBIxoNtdW4npO99JCUllenny5Xp94IUUi9IIfWCXKys+yE9Pb1E48o0QH300Uf069ePwMDAsvyYEps4cSITJkywvU5LSyMoKAgfHx88PDzsWFnVY7VaMQwDHx8f/UKs4q5FL2SmpbBzwTuEHJhFN84CcAYv9jUcScvrH6JbDc8y+Vy5Ovq9IIXUC1JIvSAXK+t+cHV1LdG4MgtQR44c4eeff+brr7+2LfP39ycnJ4eUlJQiZ6ESExPx9/e3jVm3bl2RbRXO0nfxmD/O3JeYmIiHh8dlzz4BuLi44OLiUmy5xWLRl9IODMPQsReg7HrhbOIx9n/3GmEn5hFJJgCnqcmBxncTPmQ8ndyrl+rnyd+n3wtSSL0ghdQLcrGy7IeSbrPMOnHGjBn4+voyYMAA27KIiAicnJxYsmSJbdnevXs5evQoUVFRAERFRbF9+/Yil9LExsbi4eFBWFiYbczF2ygcU7gNEanaUk6fZN07I6j+fhsiT8zEg0yOGnVY23IyNZ7YRdTwZ3BTeBIREZG/oEzOQFmtVmbMmMGIESNwdPz9Izw9PRk9ejQTJkzA29sbDw8PHnjgAaKiooiMjASgb9++hIWFcccddzB16lQSEhJ45plnGDt2rO3s0T//+U/effddHn/8cUaNGsXSpUuZO3cuP/zwQ1nsjohUIDtXfYvvzw/RgXNgwF7HpmS2G0frPsOp5+Bg7/JERESkgiuTAPXzzz9z9OhRRo0aVWzdm2++icViYejQoWRnZxMTE8P7779vW+/g4MCCBQu47777iIqKwt3dnREjRvDCC78/myUkJIQffviBhx9+mLfffpu6devy3//+V1OYi1RhuTnZbJz5KB1OfIrFMDliqUt67yk0j+qPocs+REREpJQYpmma9i7CXtLS0vD09CQ1NVWTSFxjVquVpKQkfH19dU1zFVcavXDy0C4y5oygSd4+ANZ6X0/L0e9RzV3f64pEvxekkHpBCqkX5GJl3Q8lzQZlOgufiEhZys/LY+P8aYRtn0qgcYE03DkQ+Qodr7vL3qWJiIhIJaUAJSIVjmm1su2XuXiufpkO1qNgwG6n5tS8YxZt6zW2d3kiIiJSiSlAiUiFsm/TMvIWPkPrnO0ApOLO7sb/pN0tT+Lo5Gzn6kRERKSyU4ASkQrhwNZVpMVOpW3GcgCyTSc2BQ4j7ObnifSubefqREREpKpQgBKRcis/L4+tSz7HdeP/EfbbGSerabDB6zrq3fQSUUGN7FyhiIiIVDUKUCJS7mSknWPH9+9Q78CntDULHqqdazqw1aMn3jGP06FFRztXKCIiIlWVApSIlBtnEo6y/7vXaH5yHpGcByCF6uyucxMN+4+nXZ0QO1coIiIiVZ0ClIjYXdLRPRz58lHaJP9ElJEHwFFLHU6FjqZV/zFEudewc4UiIiIiBRSgRMQurPn57Fg5n/x1/6V1ZhwWwwQD9jiGcqHDOFr3vo16Dg72LlNERESkCAUoEbmmkpNOsG/hdILiv6SVmViw0IAtblG49JhAaMe+9i1QRERE5AoUoETkmji0Yy3Ji6fSKnUZkb9dppdGNXb5DMAl4nZad+iBxWKxc5UiIiIiV6YAJSJl6sieTZxZMJmIjGU0ADBgv2NjUsLuoHnMSDq4VScpKcneZYqIiIiUiAKUiJSJE4d2cvLb52mbEkuwYQKwsUZPPHpNoHGbbrZxVqvVXiWKiIiIXDUFKBEpNSlnEjiw5hss+36iVfpK6hhWMGBztc549n+OCD2/SURERCo4BSgR+VuO7NnIqXXz8Ty2hCY5u2j329kmDNjq2p5qMZNoc9EZJxEREZGKTAFKRK5a1vkMdiyegceOT2iSt4/gwhUGHLLUJ9G/B7U73ETr8K72LFNERESk1ClAiUiJnTy0i6OL36VZwre0IwOAHNOB3W5tyQrpS73IITQIblIwWYSIiIhIJaQAJSJXlHo2kX3L5uC2bz4tsrcQ+NvyU/hwOORWmlx3H6396tq1RhEREZFrRQFKRIrJSEtmz7IvcNr9DWHnN9LeyLet2+baHmu70bTscTMBjvoVIiIiIlWL/voREQCyzqeza/lXGDv+R1jGr7QzcgtWGHDQIYSkev0J7nYnrUKa2bdQERERETtSgBKpwnKys9i1aj55W+cRmrqKtkZWwQoDjhmBHK87gMDOt9OwWVsa2rdUERERkXJBAUqkisnLzWF33E9c2Pwlzc4tI5zMghXGb/c1BfTDN+o2GrSIJMhisW+xIiIiIuWMApRIFZCbk83+jUtJ3ziXRmeW0JJU27rT1OSgbx+8OgyjadueBCg0iYiIiFyWApRIJZSfl8eh7Ws4uz2WaifjaHRhG2FGtm39OWqwr1Yvqre9lWYdY/DRZBAiIiIiJaK/mkQqifMZqexe8TXGrq9plLGBxpynceFKoyA0HfDqgkv4zYR2GkhHZxd7lisiIiJSISlAiVRgFzLT2b3yf5g7viE0PY6Ii84ypVGNg9XCya7bCZ+WfQgJa097Bwc7VisiIiJS8SlAiVQgqWcTid/yCxcOrsHzzCYaZO+h7UXTjZ8w/DjqH0Ot9kNp2KoLbXRpnoiIiEip0l9XIuWYNT+ffRuXkrJ+LgFn4wi2HiP84gEGnDR8OeLfl9odh9GoVWfqaBIIERERkTKjACVSzphWKwc2LyN53ZfUT4ylGWeLrD9qqUOCR2sI6ohf827UaxJOoEKTiIiIyDWhACVSDmSmnWP/2h/I3b2Q+smraUyybV2G6cZur644hF1PSNto6vkEUM+OtYqIiIhUZQpQInZyJuEYB5bOpPqRJTTJ2ka4kW9bl2m6ssujMw4tbySs6w20d3O3Y6UiIiIiUkgBSuQaMq357Fq9gOy1H9EyfRWRhaHJgOOGP8dqd6VaWD+aRl6n0CQiIiJSDilAiVwD506fZO+iD6l78Auam6cKFhqw17Ep50IGEtB+MPUataSu7mUSERERKdcUoETKSMqZBPYt/wLX/d8RdmEzkYYVKLinaUft66jd416atoyyc5UiIiIicjUUoERKUcKxAxxdtwDX/QsIvbCJDhddorfPoQnnQm+necxIImt42bVOEREREflrFKBE/oak4wc5tmkx1kMrCUzdQB0zEf/ClQYcdGhAUr1+1O18O00atbBnqSIiIiJSChSgRErAmpfHyfidnD6wiewTW3E7uxu/Cwfw5wy+F43LMy0ccmrE2bq9qdv5Nho2bk1Du1UtIiIiIqVNAUrkMtKSk9i/+n8Ye3+iScY66nKBun8Yk28aHHBqTLJPB6o17kGDiN408fS2S70iIiIiUvYUoEQuknBkL0fXfIX74UU0zdpOxG8TPwBcMJ055lifcx5NMH1bUKN+OHVDO9LUS4FJREREpKpQgJIqzbRaObRjDafXf43vySU0yD9c5B6meEswpwJ64d12MI1adaGJk5M9yxURERERO1OAkionMy2ZA+sXkb0nlnqnl9OQM7b7lPJNgz3OLUgL7kPdqJsIadicELtWKyIiIiLliQKUVHp5Odkc2LKclO2L8UpYTaOcPbS+6NK8TNOFPe4dyGtyHY07D6W5T4AdqxURERGR8sxSFhs9ceIE//jHP6hVqxZubm60bNmSDRs22NabpsmkSZMICAjAzc2N6Oho9u/fX2QbycnJDB8+HA8PD7y8vBg9ejQZGRlFxmzbto2uXbvi6upKUFAQU6dOLYvdkQoo9dxpNi74kE2vD+H8K/Vp9uPNRB77D81yd+FoWDlmBPCr92A2d/k/LE/EE/H4AjoOGYe3wpOIiIiIXEGpn4E6d+4cnTt3pmfPnvz000/4+Piwf/9+atasaRszdepUpk2bxqxZswgJCeHZZ58lJiaGXbt24erqCsDw4cM5deoUsbGx5ObmMnLkSMaMGcOcOXMASEtLo2/fvkRHRzN9+nS2b9/OqFGj8PLyYsyYMaW9W1IBnDiwjeNrv6HGkZ9pkr2jyAQQ56jBoeoR5NXvQd2I/gSFNCXIjrWKiIiISMVU6gFqypQpBAUFMWPGDNuykJDf7yIxTZO33nqLZ555hsGDBwPwySef4Ofnx/z58xk2bBi7d+9m4cKFrF+/nnbt2gHwzjvv0L9/f1577TUCAwOZPXs2OTk5fPzxxzg7O9O8eXO2bNnCG2+8oQBVReTn5bJvw8+kbv2ewMRl1LOeoE7hSgPiLfU45deDmm2up0nbnkQ46opVEREREfl7Sv0vyu+++46YmBhuvvlmli9fTp06dbj//vu55557AIiPjychIYHo6Gjbezw9PenYsSNxcXEMGzaMuLg4vLy8bOEJIDo6GovFwtq1a7nhhhuIi4ujW7duODs728bExMQwZcoUzp07V+SMl1Qe6SlnObBmPta9P9EwNY5Qfr+sM9d0YI9LSzLq9yGo442ENAzTBBAiIiIiUqpKPUAdOnSIDz74gAkTJvDUU0+xfv16HnzwQZydnRkxYgQJCQkA+Pn5FXmfn5+fbV1CQgK+vr5FC3V0xNvbu8iYi89sXbzNhISESwao7OxssrOzba/T0tIAsFqtWK3WYuOl7FitVkzT/NPjblqtnDq8mxPrvsX9SCxNs7bTxsi3rU+hOvs9oqDJdTTuNJjmXrWKfIaUfyXtBan81AtSSL0ghdQLcrGy7oeSbrfUA5TVaqVdu3a88sorALRp04YdO3Ywffp0RowYUdofd1VeffVVJk+eXGz56dOnycrKskNFVZfVaiU1NRXTNLFYCuYyyc/LI+HgZjKPb8fh9B68MvYTlHuYusZ56ha+0YAjRiBHvLvg1KQPQc2jCHIseDZTVk4+WUlJ9tkh+csu1QtSNakXpJB6QQqpF+RiZd0P6enpJRpX6gEqICCAsLCwIstCQ0P53//+B4C/f8FjShMTEwkI+H3Gs8TERMLDw21jkv7wh3BeXh7Jycm29/v7+5OYmFhkTOHrwjF/NHHiRCZMmGB7nZaWRlBQED4+Pnh4eFztrsrfYLVaMQwD75pe7F8fS+aW/9Ho7C9EkFp0oAE5pgP7XJqTFtSbOh1uIKhxS00AUYkU9oKPj4/+z7GKUy9IIfWCFFIvyMXKuh8KJ7P7M6UeoDp37szevXuLLNu3bx/BwcFAwYQS/v7+LFmyxBaY0tLSWLt2Lffddx8AUVFRpKSksHHjRiIiIgBYunQpVquVjh072sY8/fTT5Obm4uRUcAYiNjaWpk2bXvb+JxcXF1xcXIott1gs+lJeQ3m5OeyO+4H0DXNxSVtFC9Js69LMahxxaUKGVyiWwJZ4N4igXtPWtHBxs2PFUtYMw9D3UAD1gvxOvSCF1AtysbLsh5Jus9QD1MMPP0ynTp145ZVXuOWWW1i3bh0ffvghH374IVCw0+PHj+ell16icePGtmnMAwMDGTJkCFBwxuq6667jnnvuYfr06eTm5jJu3DiGDRtGYGAgALfffjuTJ09m9OjRPPHEE+zYsYO3336bN998s7R3SUpBXk42e379kfNb/keT5GW05PdTpClUZ69Xd1zDhxIaNZCWlwi5IiIiIiLlQakHqPbt2/PNN98wceJEXnjhBUJCQnjrrbcYPny4bczjjz9OZmYmY8aMISUlhS5durBw4cIip81mz57NuHHj6N27NxaLhaFDhzJt2jTbek9PTxYvXszYsWOJiIigdu3aTJo0SVOYlyNpKWc4uG4hebt/pPG55bS4aMa8c9Rgl0cXqre9hbBOA+jorNAkIiIiIuWfYZqmae8i7CUtLQ1PT09SU1N1D1QpyM46z4GNS0nf/TM1E9bQKHcfDsbv7ZWMB/u9e1KtzVCadIjh3LkUfH19dUq+irNarSQlJakXRL0gNuoFKaRekIuVdT+UNBvoyaLyt5w+eZj4NV/jfCiWJpkbaW78Pk08Bhw16nCyViTVw2+gWccYOjoVPLdL05GKiIiISEWkACVX5dzpUxzfFUfm/lXUPrWMRvkH8SlcacAZvIj3aI8Z0oN67fpRL6gh9exYr4iIiIhIaVKAksu6kJnOwY1LyDgYh8uZ7QRk7sOf01w8x6HVNNjn1JRzdXrgEzGYhi0iqa1T7CIiIiJSSSlAiU1uTjYHtywnZcfPeCSsoVH2bloYecXGHTMCSareDGvD3jSIGkIzv7qX2JqIiIiISOWjAFXFJSce5+Car3E8sIgmGRtoZmT9vtKAJLw5WqMNef6tqVG/HUHNIwnyqqUH2YqIiIhIlaQAVcVY8/I4sncjCRsXUPPYzzTJ2U37wpnyjILpxeOrtyG3XjcC2/SlbsOW+OqSPBERERERQAGq0ks5fYoj25dz/tBaapzeTP2sPYQYFwgpHGDAAYeGnA7sRe2IwTRs2Ym2Dg72LFlEREREpNxSgKpkzmekcmD9Ys7vWYLf6ThCrIfxuniAAedNF/a7tSKrQV+Co26kUVAjGtmpXhERERGRikQBqhJIPZvI7p8+oMbRJTTO3kWrP0z8cMRSl0SPVph12lG7WReCm7WltZOTnaoVEREREam4FKAqsKP7tnBq0Zu0OvMjkUZOwUIDTuHDsZodsTTqRYP2/Qj2DSTYvqWKiIiIiFQKClAVzIXMdA5siMX66we0vrCu4CG1Bhy0hHC6yTDqtBtI3QZhBGjiBxERERGRUqcAVQ5kZ51n37rYS6yxkpV8krzEXbilHMAnK54AaxItf5s1z2oabHWPxKnzOJpH9aehQpOIiIiISJlSgCoH0lPO0HLpnSUbbMA5PNhXuw+B1z1Mm0Yty7Y4ERERERGxUYAqBxwcnIi31L/kuvOOHmR4NAKfZlSv2wL/Rq2p5VeXjte2RBERERERQQGqXKjpE0DNSVvtXYaIiIiIiPwJ3TQjIiIiIiJSQgpQIiIiIiIiJaQAJSIiIiIiUkIKUCIiIiIiIiWkACUiIiIiIlJCClAiIiIiIiIlpAAlIiIiIiJSQgpQIiIiIiIiJaQAJSIiIiIiUkIKUCIiIiIiIiWkACUiIiIiIlJCClAiIiIiIiIlpAAlIiIiIiJSQgpQIiIiIiIiJeRo7wLsyTRNANLS0uxcSdVjtVpJT0/H1dUVi0U5vipTL0gh9YIUUi9IIfWCXKys+6EwExRmhMup0gEqPT0dgKCgIDtXIiIiIiIi5UF6ejqenp6XXW+YfxaxKjGr1crJkyepUaMGhmHYu5wqJS0tjaCgII4dO4aHh4e9yxE7Ui9IIfWCFFIvSCH1glysrPvBNE3S09MJDAy84hmuKn0GymKxULduXXuXUaV5eHjoF6IA6gX5nXpBCqkXpJB6QS5Wlv1wpTNPhXQxqYiIiIiISAkpQImIiIiIiJSQApTYhYuLC8899xwuLi72LkXsTL0ghdQLUki9IIXUC3Kx8tIPVXoSCRERERERkauhM1AiIiIiIiIlpAAlIiIiIiJSQgpQIiIiIiIiJaQAJSIiIiIiUkIKUPKXvPrqq7Rv354aNWrg6+vLkCFD2Lt3b5ExWVlZjB07llq1alG9enWGDh1KYmJikTEPPvggERERuLi4EB4efsnPMk2T1157jSZNmuDi4kKdOnV4+eWXy2rX5C+4lv2waNEiIiMjqVGjBj4+PgwdOpTDhw+X0Z7J1SqNXti6dSu33XYbQUFBuLm5ERoayttvv13ss5YtW0bbtm1xcXGhUaNGzJw5s6x3T67CteqFr7/+mj59+uDj44OHhwdRUVEsWrTomuyjlMy1/L1QaPXq1Tg6Ol72/0vEPq5lL2RnZ/P0008THByMi4sL9evX5+OPPy6V/VCAkr9k+fLljB07ll9//ZXY2Fhyc3Pp27cvmZmZtjEPP/ww33//PfPmzWP58uWcPHmSG2+8sdi2Ro0axa233nrZz3rooYf473//y2uvvcaePXv47rvv6NChQ5nsl/w116of4uPjGTx4ML169WLLli0sWrSIM2fOXHI7Yh+l0QsbN27E19eXzz77jJ07d/L0008zceJE3n33XduY+Ph4BgwYQM+ePdmyZQvjx4/n7rvv1h/O5ci16oUVK1bQp08ffvzxRzZu3EjPnj0ZNGgQmzdvvqb7K5d3rXqhUEpKCnfeeSe9e/e+JvsnJXcte+GWW25hyZIlfPTRR+zdu5fPP/+cpk2bls6OmCKlICkpyQTM5cuXm6ZpmikpKaaTk5M5b94825jdu3ebgBkXF1fs/c8995zZunXrYst37dplOjo6mnv27Cmz2qX0lVU/zJs3z3R0dDTz8/Nty7777jvTMAwzJyen9HdE/ra/2wuF7r//frNnz562148//rjZvHnzImNuvfVWMyYmppT3QEpLWfXCpYSFhZmTJ08uncKl1JV1L9x6663mM888c9n/L5Hyo6x64aeffjI9PT3Ns2fPlkndOgMlpSI1NRUAb29voOBfB3Jzc4mOjraNadasGfXq1SMuLq7E2/3+++9p0KABCxYsICQkhPr163P33XeTnJxcujsgpaqs+iEiIgKLxcKMGTPIz88nNTWVTz/9lOjoaJycnEp3J6RUlFYvpKam2rYBEBcXV2QbADExMVfVT3JtlVUv/JHVaiU9Pf2KY8S+yrIXZsyYwaFDh3juuefKoHIpbWXVC9999x3t2rVj6tSp1KlThyZNmvDoo49y4cKFUqnbsVS2IlWa1Wpl/PjxdO7cmRYtWgCQkJCAs7MzXl5eRcb6+fmRkJBQ4m0fOnSII0eOMG/ePD755BPy8/N5+OGHuemmm1i6dGlp7oaUkrLsh5CQEBYvXswtt9zCvffeS35+PlFRUfz444+luQtSSkqrF9asWcOXX37JDz/8YFuWkJCAn59fsW2kpaVx4cIF3NzcSndn5G8py174o9dee42MjAxuueWWUqtfSk9Z9sL+/ft58sknWblyJY6O+hO3vCvLXjh06BCrVq3C1dWVb775hjNnznD//fdz9uxZZsyY8bdrV3fJ3zZ27Fh27NjBqlWrSn3bVquV7OxsPvnkE5o0aQLARx99REREBHv37i29a1ml1JRlPyQkJHDPPfcwYsQIbrvtNtLT05k0aRI33XQTsbGxGIZR6p8pf11p9MKOHTsYPHgwzz33HH379i3F6uRaula9MGfOHCZPnsy3336Lr6/vX/4sKTtl1Qv5+fncfvvtTJ482fb3gpRvZfl7wWq1YhgGs2fPxtPTE4A33niDm266iffff/9v/yObLuGTv2XcuHEsWLCAX375hbp169qW+/v7k5OTQ0pKSpHxiYmJ+Pv7l3j7AQEBODo6FvllGBoaCsDRo0f/XvFS6sq6H9577z08PT2ZOnUqbdq0oVu3bnz22WcsWbKEtWvXltZuSCkojV7YtWsXvXv3ZsyYMTzzzDNF1vn7+xebxTExMREPDw+dfSpnyroXCn3xxRfcfffdzJ07t9jlnVI+lGUvpKens2HDBsaNG4ejoyOOjo688MILbN26FUdHR121Us6U9e+FgIAA6tSpYwtPUPD3o2maHD9+/O/vQJncWSWVntVqNceOHWsGBgaa+/btK7a+8CbAr776yrZsz549Vz1pwP+3c/csjURxFMYnKmKiIBYxTTAgqI2FWihptInYCYqNIGghaCwDsRU/RAorK7VNqYVRC7voCKMMvqCVBqyEiGIhZ4tdgrNEnTXjXYvnB9NcLnf4w+HCmWJ2dnZkWZaurq4qaycnJ7IsS+fn58EMg5qZykMmk9Hg4KBn7e7uTpZl6fDwsPZBULOgsnB6eqr29nZls9mq71leXlZvb69nbXp6mp9I/CCmsiBJm5ubampqUj6fD3YIBMJEFl5fX+U4judJp9Pq6emR4zh6fHz8nuHwT0zdC2trawqHwyqXy5W1fD6vuro6PT091TwHBQpfkk6n1draqv39fZVKpcrzNpSLi4vq6OhQoVBQsVhUMplUMpn0nHN5eSnbtrWwsKDu7m7Zti3btvXy8iLp94U4MDCg4eFhHR8fq1gsamhoSKOjo0bnxcdM5WF3d1ehUEirq6u6uLjQ0dGRxsbGlEgkArkQUbsgsuA4jqLRqGZmZjxn3N/fV/ZcX18rEokom83KdV3lcjnV19dre3vb6Lx4n6ksbGxsqKGhQblczrPn4eHB6Lx4n6ks/I2/8P08prJQLpcVj8c1NTWls7MzHRwcqKurS/Pz84HMQYHCl1iWVfVZX1+v7Hl+ftbS0pLa2toUiUQ0MTGhUqnkOWdkZKTqOTc3N5U9t7e3mpycVEtLi2KxmObm5r7tt5T4GpN52NraUn9/v5qbmxWNRjU+Pi7XdQ1Nis8EkYWVlZWqZyQSCc+79vb21NfXp8bGRnV2dnregf/PVBbeuzdmZ2fNDYsPmbwX3qJA/Twms+C6rlKplMLhsOLxuDKZTGAfW0N/hgEAAAAAfIKfSAAAAACATxQoAAAAAPCJAgUAAAAAPlGgAAAAAMAnChQAAAAA+ESBAgAAAACfKFAAAAAA4BMFCgAAAAB8okABAAAAgE8UKAAAAADwiQIFAAAAAD5RoAAAAADAp19Ppq9PD2zbawAAAABJRU5ErkJggg==", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(10,5))\n", + "\n", + "plt.plot(comparison[\"date\"], comparison[\"raw_scores\"], label=\"Raw\")\n", + "plt.plot(comparison[\"date\"], comparison[\"clean_scores\"], label=\"Clean\")\n", + "\n", + "plt.legend()\n", + "plt.title(\"Score comparison: raw vs cleaned data\")\n", + "plt.grid(alpha=0.3)\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "id": "a002234f-deec-4283-8245-ffac74f1930b", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[None]" + ] + }, + "execution_count": 14, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "import os\n", + "import s3fs\n", + "os.environ[\"AWS_ACCESS_KEY_ID\"] = 'N0C5PK75FDX2WXI8OVP1'\n", + "os.environ[\"AWS_SECRET_ACCESS_KEY\"] = 'nZvC2urUkG7EvhDsFDyaOslqr160aoWMs+5MP3Ft'\n", + "os.environ[\"AWS_SESSION_TOKEN\"] = 'eyJhbGciOiJIUzUxMiIsInR5cCI6IkpXVCJ9.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.hl_SekvaH9A22PMb3W0VQBSNO67LnaneIuLC-X5XBnzOO5GLV61aocDRfYC6hvVVhdzyewSTtD2kvdyJdeu6qA'\n", + "os.environ[\"AWS_DEFAULT_REGION\"] = 'us-east-1'\n", + "fs = s3fs.S3FileSystem(\n", + " client_kwargs={'endpoint_url': 'https://'+'minio-simple.lab.groupe-genes.fr'},\n", + " key = os.environ[\"AWS_ACCESS_KEY_ID\"], \n", + " secret = os.environ[\"AWS_SECRET_ACCESS_KEY\"], \n", + " token = os.environ[\"AWS_SESSION_TOKEN\"])\n", + "\n", + "# 3️⃣ Upload du CSV\n", + "local_file = \"stock_repaired.csv\"\n", + "s3_path = \"projet-bdc-carmignac-g3\"\n", + "\n", + "fs.put(local_file, s3_path)" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "id": "eeb8f32c-c717-4d48-85c5-248661b5a945", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "====================================\n", + "RUNNING COHERENCE SCORE ON: raw\n", + "====================================\n", + "GLOBAL SCORE: 0.756699778421513\n", + "\n", + "====================================\n", + "RUNNING COHERENCE SCORE ON: clean\n", + "====================================\n" + ] + }, + { + "ename": "KeyError", + "evalue": "'Centralisation Date'", + "output_type": "error", + "traceback": [ + "\u001b[31m---------------------------------------------------------------------------\u001b[39m", + "\u001b[31mKeyError\u001b[39m Traceback (most recent call last)", + "\u001b[36mFile \u001b[39m\u001b[32m/opt/python/lib/python3.13/site-packages/pandas/core/indexes/base.py:3812\u001b[39m, in \u001b[36mIndex.get_loc\u001b[39m\u001b[34m(self, key)\u001b[39m\n\u001b[32m 3811\u001b[39m \u001b[38;5;28;01mtry\u001b[39;00m:\n\u001b[32m-> \u001b[39m\u001b[32m3812\u001b[39m \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[38;5;28;43mself\u001b[39;49m\u001b[43m.\u001b[49m\u001b[43m_engine\u001b[49m\u001b[43m.\u001b[49m\u001b[43mget_loc\u001b[49m\u001b[43m(\u001b[49m\u001b[43mcasted_key\u001b[49m\u001b[43m)\u001b[49m\n\u001b[32m 3813\u001b[39m \u001b[38;5;28;01mexcept\u001b[39;00m \u001b[38;5;167;01mKeyError\u001b[39;00m \u001b[38;5;28;01mas\u001b[39;00m err:\n", + "\u001b[36mFile \u001b[39m\u001b[32mpandas/_libs/index.pyx:167\u001b[39m, in \u001b[36mpandas._libs.index.IndexEngine.get_loc\u001b[39m\u001b[34m()\u001b[39m\n", + "\u001b[36mFile \u001b[39m\u001b[32mpandas/_libs/index.pyx:196\u001b[39m, in \u001b[36mpandas._libs.index.IndexEngine.get_loc\u001b[39m\u001b[34m()\u001b[39m\n", + "\u001b[36mFile \u001b[39m\u001b[32mpandas/_libs/hashtable_class_helper.pxi:7088\u001b[39m, in \u001b[36mpandas._libs.hashtable.PyObjectHashTable.get_item\u001b[39m\u001b[34m()\u001b[39m\n", + "\u001b[36mFile \u001b[39m\u001b[32mpandas/_libs/hashtable_class_helper.pxi:7096\u001b[39m, in \u001b[36mpandas._libs.hashtable.PyObjectHashTable.get_item\u001b[39m\u001b[34m()\u001b[39m\n", + "\u001b[31mKeyError\u001b[39m: 'Centralisation Date'", + "\nThe above exception was the direct cause of the following exception:\n", + "\u001b[31mKeyError\u001b[39m Traceback (most recent call last)", + "\u001b[36mCell\u001b[39m\u001b[36m \u001b[39m\u001b[32mIn[16]\u001b[39m\u001b[32m, line 45\u001b[39m\n\u001b[32m 39\u001b[39m \u001b[38;5;66;03m# --------------------------------------------------------\u001b[39;00m\n\u001b[32m 40\u001b[39m \u001b[38;5;66;03m# LOAD STOCKS\u001b[39;00m\n\u001b[32m 41\u001b[39m \u001b[38;5;66;03m# --------------------------------------------------------\u001b[39;00m\n\u001b[32m 43\u001b[39m stocks = pd.read_csv(stock_file, low_memory=\u001b[38;5;28;01mFalse\u001b[39;00m)\n\u001b[32m---> \u001b[39m\u001b[32m45\u001b[39m stocks[\u001b[33m\"\u001b[39m\u001b[33mCentralisation Date\u001b[39m\u001b[33m\"\u001b[39m] = pd.to_datetime(\u001b[43mstocks\u001b[49m\u001b[43m[\u001b[49m\u001b[33;43m\"\u001b[39;49m\u001b[33;43mCentralisation Date\u001b[39;49m\u001b[33;43m\"\u001b[39;49m\u001b[43m]\u001b[49m)\n\u001b[32m 46\u001b[39m stocks[\u001b[33m\"\u001b[39m\u001b[33mRegistrar Account - ID\u001b[39m\u001b[33m\"\u001b[39m] = stocks[\u001b[33m\"\u001b[39m\u001b[33mRegistrar Account - ID\u001b[39m\u001b[33m\"\u001b[39m].astype(\u001b[38;5;28mstr\u001b[39m).str.strip()\n\u001b[32m 47\u001b[39m stocks[\u001b[33m\"\u001b[39m\u001b[33mProduct - Isin\u001b[39m\u001b[33m\"\u001b[39m] = stocks[\u001b[33m\"\u001b[39m\u001b[33mProduct - Isin\u001b[39m\u001b[33m\"\u001b[39m].astype(\u001b[38;5;28mstr\u001b[39m)\n", + "\u001b[36mFile \u001b[39m\u001b[32m/opt/python/lib/python3.13/site-packages/pandas/core/frame.py:4113\u001b[39m, in \u001b[36mDataFrame.__getitem__\u001b[39m\u001b[34m(self, key)\u001b[39m\n\u001b[32m 4111\u001b[39m \u001b[38;5;28;01mif\u001b[39;00m \u001b[38;5;28mself\u001b[39m.columns.nlevels > \u001b[32m1\u001b[39m:\n\u001b[32m 4112\u001b[39m \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[38;5;28mself\u001b[39m._getitem_multilevel(key)\n\u001b[32m-> \u001b[39m\u001b[32m4113\u001b[39m indexer = \u001b[38;5;28;43mself\u001b[39;49m\u001b[43m.\u001b[49m\u001b[43mcolumns\u001b[49m\u001b[43m.\u001b[49m\u001b[43mget_loc\u001b[49m\u001b[43m(\u001b[49m\u001b[43mkey\u001b[49m\u001b[43m)\u001b[49m\n\u001b[32m 4114\u001b[39m \u001b[38;5;28;01mif\u001b[39;00m is_integer(indexer):\n\u001b[32m 4115\u001b[39m indexer = [indexer]\n", + "\u001b[36mFile \u001b[39m\u001b[32m/opt/python/lib/python3.13/site-packages/pandas/core/indexes/base.py:3819\u001b[39m, in \u001b[36mIndex.get_loc\u001b[39m\u001b[34m(self, key)\u001b[39m\n\u001b[32m 3814\u001b[39m \u001b[38;5;28;01mif\u001b[39;00m \u001b[38;5;28misinstance\u001b[39m(casted_key, \u001b[38;5;28mslice\u001b[39m) \u001b[38;5;129;01mor\u001b[39;00m (\n\u001b[32m 3815\u001b[39m \u001b[38;5;28misinstance\u001b[39m(casted_key, abc.Iterable)\n\u001b[32m 3816\u001b[39m \u001b[38;5;129;01mand\u001b[39;00m \u001b[38;5;28many\u001b[39m(\u001b[38;5;28misinstance\u001b[39m(x, \u001b[38;5;28mslice\u001b[39m) \u001b[38;5;28;01mfor\u001b[39;00m x \u001b[38;5;129;01min\u001b[39;00m casted_key)\n\u001b[32m 3817\u001b[39m ):\n\u001b[32m 3818\u001b[39m \u001b[38;5;28;01mraise\u001b[39;00m InvalidIndexError(key)\n\u001b[32m-> \u001b[39m\u001b[32m3819\u001b[39m \u001b[38;5;28;01mraise\u001b[39;00m \u001b[38;5;167;01mKeyError\u001b[39;00m(key) \u001b[38;5;28;01mfrom\u001b[39;00m\u001b[38;5;250m \u001b[39m\u001b[34;01merr\u001b[39;00m\n\u001b[32m 3820\u001b[39m \u001b[38;5;28;01mexcept\u001b[39;00m \u001b[38;5;167;01mTypeError\u001b[39;00m:\n\u001b[32m 3821\u001b[39m \u001b[38;5;66;03m# If we have a listlike key, _check_indexing_error will raise\u001b[39;00m\n\u001b[32m 3822\u001b[39m \u001b[38;5;66;03m# InvalidIndexError. Otherwise we fall through and re-raise\u001b[39;00m\n\u001b[32m 3823\u001b[39m \u001b[38;5;66;03m# the TypeError.\u001b[39;00m\n\u001b[32m 3824\u001b[39m \u001b[38;5;28mself\u001b[39m._check_indexing_error(key)\n", + "\u001b[31mKeyError\u001b[39m: 'Centralisation Date'" + ] + } + ], + "source": [ + "# ============================================================\n", + "# DATASETS\n", + "# ============================================================\n", + "\n", + "DATASETS = {\n", + " \"raw\": \"stocks.csv\",\n", + " \"clean\": \"stock_repaired.csv\"\n", + "}\n", + "\n", + "flows_file = \"flows.csv\"\n", + "\n", + "results = {}\n", + "\n", + "# ============================================================\n", + "# LOAD FLOWS\n", + "# ============================================================\n", + "\n", + "flows = pd.read_csv(flows_file, low_memory=False)\n", + "\n", + "flows[\"Centralisation Date\"] = pd.to_datetime(flows[\"Centralisation Date\"])\n", + "flows[\"Registrar Account - ID\"] = flows[\"Registrar Account - ID\"].astype(str).str.strip()\n", + "flows[\"Product - Isin\"] = flows[\"Product - Isin\"].astype(str)\n", + "\n", + "flows[\"Quantity - NetFlows\"] = flows[\"Quantity - NetFlows\"].fillna(0)\n", + "\n", + "# ============================================================\n", + "# LOOP OVER DATASETS\n", + "# ============================================================\n", + "\n", + "for name, stock_file in DATASETS.items():\n", + "\n", + " print(\"\\n====================================\")\n", + " print(\"RUNNING COHERENCE SCORE ON:\", name)\n", + " print(\"====================================\")\n", + "\n", + " # --------------------------------------------------------\n", + " # LOAD STOCKS\n", + " # --------------------------------------------------------\n", + "\n", + " stocks = pd.read_csv(stock_file, low_memory=False)\n", + "\n", + " stocks[\"Centralisation Date\"] = pd.to_datetime(stocks[\"Centralisation Date\"])\n", + " stocks[\"Registrar Account - ID\"] = stocks[\"Registrar Account - ID\"].astype(str).str.strip()\n", + " stocks[\"Product - Isin\"] = stocks[\"Product - Isin\"].astype(str)\n", + "\n", + " # --------------------------------------------------------\n", + " # MERGE FLOWS\n", + " # --------------------------------------------------------\n", + "\n", + " df = stocks.merge(\n", + " flows,\n", + " on=[\"Registrar Account - ID\",\"Product - Isin\",\"Centralisation Date\"],\n", + " how=\"left\"\n", + " )\n", + "\n", + " df[\"Quantity - NetFlows\"] = df[\"Quantity - NetFlows\"].fillna(0)\n", + "\n", + " df = df.sort_values(\n", + " [\"Registrar Account - ID\",\"Product - Isin\",\"Centralisation Date\"]\n", + " )\n", + "\n", + " # --------------------------------------------------------\n", + " # ACCOUNTING RELATION\n", + " # --------------------------------------------------------\n", + "\n", + " df[\"prev_aum\"] = (\n", + " df.groupby([\"Registrar Account - ID\",\"Product - Isin\"])\n", + " [\"Quantity - AUM\"]\n", + " .shift(1)\n", + " )\n", + "\n", + " df[\"flow_lag\"] = (\n", + " df.groupby([\"Registrar Account - ID\",\"Product - Isin\"])\n", + " [\"Quantity - NetFlows\"]\n", + " .shift(1)\n", + " ).fillna(0)\n", + "\n", + " df[\"expected_aum\"] = df[\"prev_aum\"] + df[\"flow_lag\"]\n", + "\n", + " df[\"error\"] = df[\"Quantity - AUM\"] - df[\"expected_aum\"]\n", + "\n", + " # --------------------------------------------------------\n", + " # NORMALIZED ERROR\n", + " # --------------------------------------------------------\n", + "\n", + " df[\"scale\"] = df[\"prev_aum\"].abs().clip(lower=1)\n", + "\n", + " df[\"normalized_error\"] = df[\"error\"].abs() / df[\"scale\"]\n", + "\n", + " # --------------------------------------------------------\n", + " # OBSERVATION SCORE\n", + " # --------------------------------------------------------\n", + "\n", + " df[\"score_obs\"] = np.exp(-5 * df[\"normalized_error\"])\n", + "\n", + " # --------------------------------------------------------\n", + " # ACCOUNT SCORE\n", + " # --------------------------------------------------------\n", + "\n", + " account_score = (\n", + " df.groupby(\"Registrar Account - ID\")[\"score_obs\"]\n", + " .mean()\n", + " )\n", + "\n", + " # --------------------------------------------------------\n", + " # ACCOUNT WEIGHTS (31/10/2025)\n", + " # --------------------------------------------------------\n", + "\n", + " last_date = stocks[\"Centralisation Date\"].max()\n", + "\n", + " aum_last = (\n", + " stocks[stocks[\"Centralisation Date\"] == last_date]\n", + " .groupby(\"Registrar Account - ID\")[\"Quantity - AUM\"]\n", + " .sum()\n", + " )\n", + "\n", + " weights = aum_last / aum_last.sum()\n", + "\n", + " # --------------------------------------------------------\n", + " # ALIGN\n", + " # --------------------------------------------------------\n", + "\n", + " combined = pd.concat([account_score, weights], axis=1)\n", + " combined.columns = [\"score\", \"weight\"]\n", + "\n", + " combined = combined.fillna(0)\n", + "\n", + " # --------------------------------------------------------\n", + " # GLOBAL SCORE\n", + " # --------------------------------------------------------\n", + "\n", + " combined[\"weighted_score\"] = combined[\"score\"] * combined[\"weight\"]\n", + "\n", + " global_score = combined[\"weighted_score\"].sum()\n", + "\n", + " print(\"GLOBAL SCORE:\", global_score)\n", + "\n", + " results[name] = {\n", + " \"score\": global_score,\n", + " \"details\": combined\n", + " }\n", + "\n", + "# ============================================================\n", + "# COMPARISON\n", + "# ============================================================\n", + "\n", + "print(\"\\n====================================\")\n", + "print(\"RAW VS CLEAN COMPARISON\")\n", + "print(\"====================================\")\n", + "\n", + "raw_score = results[\"raw\"][\"score\"]\n", + "clean_score = results[\"clean\"][\"score\"]\n", + "\n", + "improvement = clean_score - raw_score\n", + "relative = improvement / raw_score\n", + "\n", + "print(\"RAW SCORE :\", raw_score)\n", + "print(\"CLEAN SCORE :\", clean_score)\n", + "print(\"IMPROVEMENT :\", improvement)\n", + "print(\"RELATIVE IMPROVEMENT :\", relative)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "4ce0bfea-7714-4fd7-ba29-17ce8d976ab6", + "metadata": {}, + "outputs": [], + "source": [ + "import pandas as pd\n", + "import numpy as np\n", + "\n", + "# ============================================================\n", + "# DATASETS\n", + "# ============================================================\n", + "\n", + "DATASETS = {\n", + " \"clean\": \"stock_repaired.csv\"\n", + "}\n", + "\n", + "flows_file = \"flows.csv\"\n", + "\n", + "results = {}\n", + "\n", + "# ============================================================\n", + "# LOAD FLOWS\n", + "# ============================================================\n", + "\n", + "flows = pd.read_csv(flows_file, sep=\";\", low_memory=False)\n", + "\n", + "flows[\"Centralisation Date\"] = pd.to_datetime(flows[\"Centralisation Date\"])\n", + "flows[\"Registrar Account - ID\"] = flows[\"Registrar Account - ID\"].astype(str).str.strip()\n", + "flows[\"Product - Isin\"] = flows[\"Product - Isin\"].astype(str)\n", + "\n", + "flows[\"Quantity - NetFlows\"] = flows[\"Quantity - NetFlows\"].fillna(0)\n", + "\n", + "# ============================================================\n", + "# LOOP OVER DATASETS\n", + "# ============================================================\n", + "\n", + "for name, stock_file in DATASETS.items():\n", + "\n", + " print(\"\\n====================================\")\n", + " print(\"RUNNING COHERENCE SCORE ON:\", name)\n", + " print(\"====================================\")\n", + "\n", + " # --------------------------------------------------------\n", + " # LOAD STOCKS\n", + " # --------------------------------------------------------\n", + "\n", + " stocks = pd.read_csv(stock_file, sep=\";\", low_memory=False)\n", + "\n", + " stocks[\"Centralisation Date\"] = pd.to_datetime(stocks[\"Centralisation Date\"])\n", + " stocks[\"Registrar Account - ID\"] = stocks[\"Registrar Account - ID\"].astype(str).str.strip()\n", + " stocks[\"Product - Isin\"] = stocks[\"Product - Isin\"].astype(str)\n", + "\n", + " # --------------------------------------------------------\n", + " # MERGE FLOWS\n", + " # --------------------------------------------------------\n", + "\n", + " df = stocks.merge(\n", + " flows,\n", + " on=[\"Registrar Account - ID\",\"Product - Isin\",\"Centralisation Date\"],\n", + " how=\"left\"\n", + " )\n", + "\n", + " df[\"Quantity - NetFlows\"] = df[\"Quantity - NetFlows\"].fillna(0)\n", + "\n", + " df = df.sort_values(\n", + " [\"Registrar Account - ID\",\"Product - Isin\",\"Centralisation Date\"]\n", + " )\n", + "\n", + " # --------------------------------------------------------\n", + " # ACCOUNTING RELATION\n", + " # --------------------------------------------------------\n", + "\n", + " df[\"prev_aum\"] = (\n", + " df.groupby([\"Registrar Account - ID\",\"Product - Isin\"])\n", + " [\"Quantity - AUM\"]\n", + " .shift(1)\n", + " )\n", + "\n", + " df[\"flow_lag\"] = (\n", + " df.groupby([\"Registrar Account - ID\",\"Product - Isin\"])\n", + " [\"Quantity - NetFlows\"]\n", + " .shift(1)\n", + " ).fillna(0)\n", + "\n", + " df[\"expected_aum\"] = df[\"prev_aum\"] + df[\"flow_lag\"]\n", + "\n", + " df[\"error\"] = df[\"Quantity - AUM\"] - df[\"expected_aum\"]\n", + "\n", + " # --------------------------------------------------------\n", + " # NORMALIZED ERROR\n", + " # --------------------------------------------------------\n", + "\n", + " df[\"scale\"] = df[\"prev_aum\"].abs().clip(lower=1)\n", + "\n", + " df[\"normalized_error\"] = df[\"error\"].abs() / df[\"scale\"]\n", + "\n", + " # --------------------------------------------------------\n", + " # OBSERVATION SCORE\n", + " # --------------------------------------------------------\n", + "\n", + " df[\"score_obs\"] = np.exp(-5 * df[\"normalized_error\"])\n", + "\n", + " # --------------------------------------------------------\n", + " # ACCOUNT SCORE\n", + " # --------------------------------------------------------\n", + "\n", + " account_score = (\n", + " df.groupby(\"Registrar Account - ID\")[\"score_obs\"]\n", + " .mean()\n", + " )\n", + "\n", + " # --------------------------------------------------------\n", + " # ACCOUNT WEIGHTS (31/10/2025)\n", + " # --------------------------------------------------------\n", + "\n", + " last_date = stocks[\"Centralisation Date\"].max()\n", + "\n", + " aum_last = (\n", + " stocks[stocks[\"Centralisation Date\"] == last_date]\n", + " .groupby(\"Registrar Account - ID\")[\"Quantity - AUM\"]\n", + " .sum()\n", + " )\n", + "\n", + " weights = aum_last / aum_last.sum()\n", + "\n", + " combined = pd.concat([account_score, weights], axis=1)\n", + " combined.columns = [\"score\", \"weight\"]\n", + " combined = combined.fillna(0)\n", + "\n", + " combined[\"weighted_score\"] = combined[\"score\"] * combined[\"weight\"]\n", + "\n", + " global_score = combined[\"weighted_score\"].sum()\n", + "\n", + " print(\"GLOBAL SCORE:\", global_score)\n", + "\n", + " results[name] = global_score\n", + "\n", + "# ============================================================\n", + "# COMPARISON\n", + "# ============================================================\n", + "\n", + "print(\"\\n====================================\")\n", + "print(\"RAW VS CLEAN COMPARISON\")\n", + "print(\"====================================\")\n", + "\n", + "raw_score = results[\"raw\"]\n", + "clean_score = results[\"clean\"]\n", + "\n", + "improvement = clean_score - raw_score\n", + "relative = improvement / raw_score\n", + "\n", + "print(\"RAW SCORE :\", raw_score)\n", + "print(\"CLEAN SCORE :\", clean_score)\n", + "print(\"IMPROVEMENT :\", improvement)\n", + "print(\"RELATIVE IMPROVEMENT :\", relative)" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.13.11" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/brouillon/.ipynb_checkpoints/rupture_isin_summary-checkpoint.csv b/brouillon/.ipynb_checkpoints/rupture_isin_summary-checkpoint.csv new file mode 100644 index 0000000..f5eefcc --- /dev/null +++ b/brouillon/.ipynb_checkpoints/rupture_isin_summary-checkpoint.csv @@ -0,0 +1,79738 @@ +Registrar Account - ID,Product - Isin,n_ruptures,total_obs,rupture_ratio,max_gap_abs,max_gap_rel +7905,FR0010135103,0,80,0.0,0.0, +7905,FR0010147603,0,80,0.0,0.0, +7905,FR0010148981,0,80,0.0,0.0, +7905,FR0010148999,0,80,0.0,0.0, 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b/brouillon/analyse_rupture.ipynb new file mode 100644 index 0000000..6e4d677 --- /dev/null +++ b/brouillon/analyse_rupture.ipynb @@ -0,0 +1,4472 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 51, + "id": "338730e2-a6de-4d4f-b438-efe3feb139ab", + "metadata": {}, + "outputs": [], + "source": [ + "import pandas as pd\n", + "import numpy as np\n", + "import plotly.graph_objects as go\n", + "import matplotlib.pyplot as plt" + ] + }, + { + "cell_type": "code", + "execution_count": 52, + "id": "cfd11919-0941-400e-a516-72871881f733", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/tmp/ipykernel_1311/1940519970.py:1: DtypeWarning:\n", + "\n", + "Columns (1,2,3,4) have mixed types. Specify dtype option on import or set low_memory=False.\n", + "\n", + "/tmp/ipykernel_1311/1940519970.py:2: DtypeWarning:\n", + "\n", + "Columns (1,2,3,4) have mixed types. Specify dtype option on import or set low_memory=False.\n", + "\n" + ] + } + ], + "source": [ + "stocks=pd.read_csv('stocks.csv')\n", + "flows = pd.read_csv('flows.csv')" + ] + }, + { + "cell_type": "code", + "execution_count": 53, + "id": "b99e3402-fe26-4f4e-8c1c-5f07847bce94", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/tmp/ipykernel_1311/3613746644.py:1: DtypeWarning:\n", + "\n", + "Columns (1) have mixed types. Specify dtype option on import or set low_memory=False.\n", + "\n" + ] + } + ], + "source": [ + "merged = pd.read_csv('merged.csv')" + ] + }, + { + "cell_type": "code", + "execution_count": 54, + "id": "34e5a815-7269-4312-bfe6-e2cd12595e57", + "metadata": {}, + "outputs": [], + "source": [ + "# 1. Prepare stock dataset ISIN-by-ISIN\n", + "stocks_isin = stocks[[\n", + " \"Registrar Account - ID\",\n", + " \"Product - Isin\",\n", + " \"Centralisation Date\",\n", + " \"Quantity - AUM\"\n", + "]].copy()\n", + "\n", + "stocks_isin[\"Centralisation Date\"] = pd.to_datetime(stocks_isin[\"Centralisation Date\"])\n", + "\n", + "stocks_isin = stocks_isin.sort_values(\n", + " [\"Registrar Account - ID\", \"Product - Isin\", \"Centralisation Date\"]\n", + ")\n", + "\n", + "# 2. Prepare flows dataset ISIN-by-ISIN\n", + "flows_isin = flows[[\n", + " \"Registrar Account - ID\",\n", + " \"Product - Isin\",\n", + " \"Centralisation Date\",\n", + " \"Quantity - NetFlows\"\n", + "]].copy()\n", + "\n", + "flows_isin[\"Centralisation Date\"] = pd.to_datetime(flows_isin[\"Centralisation Date\"])\n", + "\n", + "flows_isin = (\n", + " flows_isin\n", + " .groupby(\n", + " [\"Registrar Account - ID\", \"Product - Isin\", \"Centralisation Date\"]\n", + " )[\"Quantity - NetFlows\"]\n", + " .sum()\n", + " .reset_index()\n", + ")\n", + "\n", + "# 3. Merge stocks & flows ISIN-by-ISIN\n", + "merged_isin = stocks_isin.merge(\n", + " flows_isin,\n", + " on=[\"Registrar Account - ID\", \"Product - Isin\", \"Centralisation Date\"],\n", + " how=\"left\"\n", + ")\n", + "\n", + "merged_isin[\"Quantity - NetFlows\"] = merged_isin[\"Quantity - NetFlows\"].fillna(0)\n", + "\n", + "# 4. Compute expected stock per ISIN for each account\n", + "merged_isin[\"prev_stock\"] = (\n", + " merged_isin\n", + " .groupby([\"Registrar Account - ID\", \"Product - Isin\"])[\"Quantity - AUM\"]\n", + " .shift(1)\n", + ")\n", + "\n", + "merged_isin[\"prev_netflows\"] = (\n", + " merged_isin\n", + " .groupby([\"Registrar Account - ID\", \"Product - Isin\"])[\"Quantity - NetFlows\"]\n", + " .shift(1)\n", + " .fillna(0)\n", + ")\n", + "\n", + "merged_isin[\"expected_stock\"] = (\n", + " merged_isin[\"prev_stock\"] + merged_isin[\"prev_netflows\"]\n", + ")\n", + "\n", + "# 5. Detect ruptures ISIN-by-ISIN (no aggregation)\n", + "TOL = 1e-6\n", + "\n", + "merged_isin[\"gap\"] = (\n", + " merged_isin[\"Quantity - AUM\"] - merged_isin[\"expected_stock\"]\n", + ")\n", + "\n", + "merged_isin[\"rupture_flag\"] = (\n", + " merged_isin[\"prev_stock\"].notna()\n", + " & (merged_isin[\"gap\"].abs() > TOL)\n", + ")\n", + "\n", + "# 6. Summarize ruptures per (Account, ISIN)\n", + "rupture_isin_summary = (\n", + " merged_isin\n", + " .groupby([\"Registrar Account - ID\", \"Product - Isin\"])\n", + " .agg(\n", + " n_ruptures=(\"rupture_flag\", \"sum\"),\n", + " obs=(\"rupture_flag\", \"count\"),\n", + " rupture_ratio=(\"rupture_flag\", \"mean\"),\n", + " max_gap=(\"gap\", lambda x: x.abs().max())\n", + " )\n", + " .reset_index()\n", + ")\n", + "\n", + "# Sort by worst ISIN trajectories\n", + "rupture_isin_summary = rupture_isin_summary.sort_values(\n", + " \"rupture_ratio\",\n", + " ascending=False\n", + ")" + ] + }, + { + "cell_type": "markdown", + "id": "16213cb2-07d8-4e82-b9bb-252554ec47b9", + "metadata": {}, + "source": [ + "# Détection des ruptures" + ] + }, + { + "cell_type": "code", + "execution_count": 55, + "id": "78c3db70-e0b6-4de2-92ca-e29cf5bf6bd1", + "metadata": {}, + "outputs": [], + "source": [ + "# ============================================================\n", + "# AUM–FLOW CONSISTENCY & RUPTURE DETECTION (FINAL VERSION)\n", + "# ============================================================\n", + "# ------------------------------------------------------------\n", + "# 1. Keep relevant columns\n", + "# ------------------------------------------------------------\n", + "stocks_clean = stocks[[\n", + " \"Registrar Account - ID\",\n", + " \"Product - Isin\",\n", + " \"Centralisation Date\",\n", + " \"Quantity - AUM\"\n", + "]].copy()\n", + "\n", + "flows_clean = flows[[\n", + " \"Registrar Account - ID\",\n", + " \"Product - Isin\",\n", + " \"Centralisation Date\",\n", + " \"Quantity - NetFlows\"\n", + "]].copy()\n", + "\n", + "\n", + "# ------------------------------------------------------------\n", + "# 2. Date formatting\n", + "# ------------------------------------------------------------\n", + "stocks_clean[\"Centralisation Date\"] = pd.to_datetime(stocks_clean[\"Centralisation Date\"])\n", + "flows_clean[\"Centralisation Date\"] = pd.to_datetime(flows_clean[\"Centralisation Date\"])\n", + "\n", + "\n", + "# ------------------------------------------------------------\n", + "# 3. Aggregate flows per day\n", + "# ------------------------------------------------------------\n", + "flows_clean = (\n", + " flows_clean\n", + " .groupby(\n", + " [\"Registrar Account - ID\", \"Product - Isin\", \"Centralisation Date\"],\n", + " as_index=False\n", + " )[\"Quantity - NetFlows\"]\n", + " .sum()\n", + ")\n", + "\n", + "# ------------------------------------------------------------\n", + "# 4. Merge stocks and flows\n", + "# ------------------------------------------------------------\n", + "df = stocks_clean.merge(\n", + " flows_clean,\n", + " on=[\"Registrar Account - ID\", \"Product - Isin\", \"Centralisation Date\"],\n", + " how=\"left\"\n", + ")\n", + "\n", + "df[\"Quantity - NetFlows\"] = df[\"Quantity - NetFlows\"].fillna(0)\n", + "\n", + "\n", + "# ------------------------------------------------------------\n", + "# 5. Sort and compute expected stock\n", + "# ------------------------------------------------------------\n", + "df = df.sort_values(\n", + " [\"Registrar Account - ID\", \"Product - Isin\", \"Centralisation Date\"]\n", + ")\n", + "\n", + "df[\"prev_stock\"] = df.groupby(\n", + " [\"Registrar Account - ID\", \"Product - Isin\"]\n", + ")[\"Quantity - AUM\"].shift(1)\n", + "\n", + "df[\"prev_flows\"] = df.groupby(\n", + " [\"Registrar Account - ID\", \"Product - Isin\"]\n", + ")[\"Quantity - NetFlows\"].shift(1).fillna(0)\n", + "\n", + "df[\"expected_stock\"] = df[\"prev_stock\"] + df[\"prev_flows\"]\n", + "\n", + "\n", + "# ------------------------------------------------------------\n", + "# 6. Compute gaps\n", + "# ------------------------------------------------------------\n", + "df[\"gap\"] = df[\"Quantity - AUM\"] - df[\"expected_stock\"]\n", + "df[\"gap_abs\"] = df[\"gap\"].abs()\n", + "df[\"gap_rel\"] = df[\"gap_abs\"] / df[\"expected_stock\"].abs().clip(lower=1)\n", + "\n", + "\n", + "# ------------------------------------------------------------\n", + "# 7. Detect ruptures (economic rule)\n", + "# ------------------------------------------------------------\n", + "TAU_ABS = 10.0 # minimum absolute gap (shares)\n", + "TAU_REL = 0.005 # minimum relative gap (0.5%)\n", + "\n", + "df[\"rupture_flag\"] = (\n", + " df[\"prev_stock\"].notna()\n", + " & (df[\"gap_abs\"] > TAU_ABS)\n", + " & (df[\"gap_rel\"] > TAU_REL)\n", + ")\n", + "\n", + "\n", + "# ------------------------------------------------------------\n", + "# 8. Remove end-of-sample false positives (edge effects)\n", + "# ------------------------------------------------------------\n", + "last_date = df[\"Centralisation Date\"].max()\n", + "\n", + "df[\"rupture_flag\"] = np.where(\n", + " (df[\"rupture_flag\"]) & (df[\"Centralisation Date\"] == last_date),\n", + " False,\n", + " df[\"rupture_flag\"]\n", + ")\n" + ] + }, + { + "cell_type": "code", + "execution_count": 56, + "id": "a9783dc1-e225-4142-8b6f-6f9e620b4b3d", + "metadata": {}, + "outputs": [], + "source": [ + "# ------------------------------------------------------------\n", + "# 9. ISIN-level summary (AFTER CLEANING)\n", + "# ------------------------------------------------------------\n", + "rupture_isin_summary = (\n", + " df.groupby([\"Registrar Account - ID\", \"Product - Isin\"])\n", + " .agg(\n", + " n_ruptures=(\"rupture_flag\", \"sum\"),\n", + " total_obs=(\"rupture_flag\", \"count\"),\n", + " rupture_ratio=(\"rupture_flag\", \"mean\"),\n", + " max_gap=(\"gap_abs\", \"max\")\n", + " )\n", + " .reset_index()\n", + ")\n", + "\n", + "\n", + "# ------------------------------------------------------------\n", + "# 10. Account-level summary (AFTER CLEANING)\n", + "# ------------------------------------------------------------\n", + "rupture_summary = (\n", + " df.groupby(\"Registrar Account - ID\")\n", + " .agg(\n", + " n_ruptures=(\"rupture_flag\", \"sum\"),\n", + " total_obs=(\"rupture_flag\", \"count\"),\n", + " rupture_ratio=(\"rupture_flag\", \"mean\"),\n", + " max_gap=(\"gap_abs\", \"max\")\n", + " )\n", + " .reset_index()\n", + ")\n", + "\n", + "\n", + "# ------------------------------------------------------------\n", + "# 11. Outputs\n", + "# ------------------------------------------------------------\n", + "df.to_csv(\"aum_flow_gaps.csv\", index=False)\n", + "rupture_isin_summary.to_csv(\"rupture_isin_summary.csv\", index=False)\n", + "rupture_summary.to_csv(\"rupture_summary.csv\", index=False)" + ] + }, + { + "cell_type": "code", + "execution_count": 57, + "id": "f5b62558-c27a-4428-a193-8b97e0ce6b6a", + "metadata": {}, + "outputs": [ + { + "data": { + "application/vnd.plotly.v1+json": { + "config": { + "plotlyServerURL": "https://plot.ly" + }, + "data": [ + { + "hole": 0.45, + "hoverinfo": "label+percent", + "labels": [ + "Clean / quasi-clean (≤1%)", + "Moderate (1–10%)", + "High (10–30%)", + "Severe (>30%)" + ], + "textinfo": "percent", + "type": "pie", + "values": { + "bdata": "AAAAAACASEAAAAAAAIBBQAAAAAAAAChAZmZmZmZmEEA=", + "dtype": "f8" + } + } + ], + "layout": { + "legend": { + "orientation": "h", + "title": { + "text": "Rupture ratio" + }, + "x": 0.5, + "xanchor": "center", + "y": -0.15, + 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" + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Base\n", + "rs = rupture_summary.copy()\n", + "\n", + "# Classes simplifiées\n", + "bins = [0, 0.01, 0.10, 0.30, 1.01]\n", + "labels = [\n", + " \"Clean / quasi-clean (≤1%)\",\n", + " \"Moderate (1–10%)\",\n", + " \"High (10–30%)\",\n", + " \"Severe (>30%)\"\n", + "]\n", + "\n", + "rs[\"rupture_class\"] = pd.cut(\n", + " rs[\"rupture_ratio\"],\n", + " bins=bins,\n", + " labels=labels,\n", + " include_lowest=True\n", + ")\n", + "\n", + "# Distribution en %\n", + "dist = (\n", + " rs[\"rupture_class\"]\n", + " .value_counts(normalize=True)\n", + " .sort_index()\n", + " * 100\n", + ").round(1)\n", + "\n", + "# Donut chart\n", + "fig = go.Figure(\n", + " data=[go.Pie(\n", + " labels=dist.index,\n", + " values=dist.values,\n", + " hole=0.45,\n", + " textinfo=\"percent\",\n", + " hoverinfo=\"label+percent\"\n", + " )]\n", + ")\n", + "\n", + "fig.update_layout(\n", + " legend=dict(\n", + " orientation=\"h\", # horizontale\n", + " yanchor=\"top\",\n", + " y=-0.15, # en dessous du graphe\n", + " xanchor=\"center\",\n", + " x=0.5\n", + " ),\n", + " legend_title_text=\"Rupture ratio\"\n", + ")\n", + "\n", + "fig.show()\n" + ] + }, + { + "cell_type": "markdown", + "id": "e52cd650-df05-490d-af59-e66c058f955d", + "metadata": {}, + "source": [ + "## AUM–FLOW CONSISTENCY & DISCONTINUITY DETECTION" + ] + }, + { + "cell_type": "code", + "execution_count": 58, + "id": "a7efe494-f5fa-43f8-8446-942fc2d3bd4c", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Detection threshold epsilon (trimmed 99th percentile): 40.03%\n" + ] + } + ], + "source": [ + "# ------------------------------------------------------------\n", + "# 1. Keep relevant columns\n", + "# ------------------------------------------------------------\n", + "stocks_clean = stocks[\n", + " [\"Registrar Account - ID\", \"Product - Isin\", \"Centralisation Date\", \"Quantity - AUM\"]\n", + "].copy()\n", + "\n", + "flows_clean = flows[\n", + " [\"Registrar Account - ID\", \"Product - Isin\", \"Centralisation Date\", \"Quantity - NetFlows\"]\n", + "].copy()\n", + "\n", + "# ------------------------------------------------------------\n", + "# 2. Date formatting\n", + "# ------------------------------------------------------------\n", + "stocks_clean[\"Centralisation Date\"] = pd.to_datetime(stocks_clean[\"Centralisation Date\"])\n", + "flows_clean[\"Centralisation Date\"] = pd.to_datetime(flows_clean[\"Centralisation Date\"])\n", + "\n", + "# ------------------------------------------------------------\n", + "# 3. Aggregate flows per day\n", + "# ------------------------------------------------------------\n", + "flows_clean = (\n", + " flows_clean\n", + " .groupby(\n", + " [\"Registrar Account - ID\", \"Product - Isin\", \"Centralisation Date\"],\n", + " as_index=False\n", + " )[\"Quantity - NetFlows\"]\n", + " .sum()\n", + ")\n", + "\n", + "# ------------------------------------------------------------\n", + "# 4. Merge stocks and flows\n", + "# ------------------------------------------------------------\n", + "df = stocks_clean.merge(\n", + " flows_clean,\n", + " on=[\"Registrar Account - ID\", \"Product - Isin\", \"Centralisation Date\"],\n", + " how=\"left\"\n", + ")\n", + "\n", + "df[\"Quantity - NetFlows\"] = df[\"Quantity - NetFlows\"].fillna(0)\n", + "\n", + "# ------------------------------------------------------------\n", + "# 5. Sort and reconstruct expected stock\n", + "# ------------------------------------------------------------\n", + "df = df.sort_values(\n", + " [\"Registrar Account - ID\", \"Product - Isin\", \"Centralisation Date\"]\n", + ")\n", + "\n", + "df[\"prev_stock\"] = (\n", + " df.groupby([\"Registrar Account - ID\", \"Product - Isin\"])\n", + " [\"Quantity - AUM\"]\n", + " .shift(1)\n", + ")\n", + "\n", + "df[\"prev_flows\"] = (\n", + " df.groupby([\"Registrar Account - ID\", \"Product - Isin\"])\n", + " [\"Quantity - NetFlows\"]\n", + " .shift(1)\n", + " .fillna(0)\n", + ")\n", + "\n", + "df[\"expected_stock\"] = df[\"prev_stock\"] + df[\"prev_flows\"]\n", + "\n", + "# ------------------------------------------------------------\n", + "# 6. Compute accounting gaps\n", + "# ------------------------------------------------------------\n", + "df[\"gap\"] = df[\"Quantity - AUM\"] - df[\"expected_stock\"]\n", + "df[\"gap_abs\"] = df[\"gap\"].abs()\n", + "\n", + "# Relative gap normalised by previous stock\n", + "df[\"gap_rel\"] = (\n", + " df[\"gap_abs\"] /\n", + " df[\"prev_stock\"].abs().replace(0, np.nan)\n", + ")\n", + "\n", + "# ------------------------------------------------------------\n", + "# 7. Calibration sample (valid regime)\n", + "# ------------------------------------------------------------\n", + "valid_gaps = df.loc[\n", + " df[\"gap_rel\"].notna() & (df[\"prev_stock\"] > 0),\n", + " \"gap_rel\"\n", + "]\n", + "\n", + "# ------------------------------------------------------------\n", + "# 8. Robust, data-driven threshold (epsilon)\n", + "# ------------------------------------------------------------\n", + "# Step 1 — trim extreme breaks to avoid calibrating on resets\n", + "gap_rel_trimmed = valid_gaps[\n", + " valid_gaps <= valid_gaps.quantile(0.90)\n", + "]\n", + "\n", + "# Step 2 — define epsilon on the upper tail of the trimmed distribution\n", + "EPSILON = gap_rel_trimmed.quantile(0.99)\n", + "\n", + "# ------------------------------------------------------------\n", + "# 9. Detect discontinuities (diagnostic rule)\n", + "# ------------------------------------------------------------\n", + "df[\"rupture_flag\"] = (\n", + " df[\"prev_stock\"].notna()\n", + " & (df[\"prev_stock\"] > 0)\n", + " & (df[\"gap_rel\"] > EPSILON)\n", + ")\n", + "\n", + "# ------------------------------------------------------------\n", + "# 10. Remove end-of-sample edge effects\n", + "# ------------------------------------------------------------\n", + "last_date = df[\"Centralisation Date\"].max()\n", + "\n", + "df.loc[\n", + " (df[\"rupture_flag\"]) &\n", + " (df[\"Centralisation Date\"] == last_date),\n", + " \"rupture_flag\"\n", + "] = False\n", + "\n", + "# ------------------------------------------------------------\n", + "# 11. ISIN-level summary\n", + "# ------------------------------------------------------------\n", + "rupture_isin_summary = (\n", + " df.groupby([\"Registrar Account - ID\", \"Product - Isin\"])\n", + " .agg(\n", + " n_ruptures=(\"rupture_flag\", \"sum\"),\n", + " total_obs=(\"rupture_flag\", \"count\"),\n", + " rupture_ratio=(\"rupture_flag\", \"mean\"),\n", + " max_gap_abs=(\"gap_abs\", \"max\"),\n", + " max_gap_rel=(\"gap_rel\", \"max\")\n", + " )\n", + " .reset_index()\n", + ")\n", + "\n", + "# ------------------------------------------------------------\n", + "# 12. Account-level summary\n", + "# ------------------------------------------------------------\n", + "rupture_summary = (\n", + " df.groupby(\"Registrar Account - ID\")\n", + " .agg(\n", + " n_ruptures=(\"rupture_flag\", \"sum\"),\n", + " total_obs=(\"rupture_flag\", \"count\"),\n", + " rupture_ratio=(\"rupture_flag\", \"mean\"),\n", + " max_gap_abs=(\"gap_abs\", \"max\"),\n", + " max_gap_rel=(\"gap_rel\", \"max\")\n", + " )\n", + " .reset_index()\n", + ")\n", + "\n", + "# ------------------------------------------------------------\n", + "# 13. Outputs\n", + "# ------------------------------------------------------------\n", + "df.to_csv(\"aum_flow_gaps.csv\", index=False)\n", + "rupture_isin_summary.to_csv(\"rupture_isin_summary.csv\", index=False)\n", + "rupture_summary.to_csv(\"rupture_summary.csv\", index=False)\n", + "\n", + "print(f\"Detection threshold epsilon (trimmed 99th percentile): {EPSILON:.2%}\")\n" + ] + }, + { + "cell_type": "code", + "execution_count": 59, + "id": "d7454212-1493-4715-a436-c331931f92fa", + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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Registrar Account - IDProduct - Isinn_rupturestotal_obsrupture_ratiomax_gap_absmax_gap_rel
59545200127410FR00101351033844360.880734295985.423371.158214
\n", + "
" + ], + "text/plain": [ + " Registrar Account - ID Product - Isin n_ruptures total_obs \\\n", + "59545 200127410 FR0010135103 384 436 \n", + "\n", + " rupture_ratio max_gap_abs max_gap_rel \n", + "59545 0.880734 295985.42 3371.158214 " + ] + }, + "execution_count": 59, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "rupture_isin_summary.sort_values(\"rupture_ratio\").head(1)\n", + "rupture_isin_summary.sort_values(\"rupture_ratio\", ascending=False).head(1)" + ] + }, + { + "cell_type": "code", + "execution_count": 60, + "id": "b4040847-e0cf-4aa5-966c-d1fbf3935b7d", + "metadata": {}, + "outputs": [], + "source": [ + "def plot_isin_evolution(df, account_id, isin, title_suffix=\"\"):\n", + " sub = df[\n", + " (df[\"Registrar Account - ID\"] == account_id) &\n", + " (df[\"Product - Isin\"] == isin)\n", + " ].copy()\n", + "\n", + " if sub.empty:\n", + " print(\"No data for this (account, ISIN).\")\n", + " return\n", + "\n", + " plt.figure(figsize=(10,4))\n", + "\n", + " # Stock observé\n", + " plt.plot(\n", + " sub[\"Centralisation Date\"],\n", + " sub[\"Quantity - AUM\"],\n", + " label=\"Observed stock\",\n", + " linewidth=2\n", + " )\n", + "\n", + " # Stock attendu\n", + " plt.plot(\n", + " sub[\"Centralisation Date\"],\n", + " sub[\"expected_stock\"],\n", + " label=\"Expected stock\",\n", + " linestyle=\"--\"\n", + " )\n", + "\n", + " # Ruptures\n", + " rupt = sub[sub[\"rupture_flag\"]]\n", + " plt.scatter(\n", + " rupt[\"Centralisation Date\"],\n", + " rupt[\"Quantity - AUM\"],\n", + " color=\"red\",\n", + " label=\"Rupture\",\n", + " zorder=5\n", + " )\n", + "\n", + " plt.title(f\"ISIN {isin} — Account {account_id} {title_suffix}\")\n", + " plt.xlabel(\"Date\")\n", + " plt.ylabel(\"AUM (shares)\")\n", + " plt.legend()\n", + " plt.grid(True)\n", + " plt.tight_layout()\n", + " plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 61, + "id": "e5d7a5ab-40bd-452d-a6ae-d56e220c592f", + "metadata": {}, + "outputs": [ + { + "ename": "NameError", + "evalue": "name 'plot_isin_dynamics' is not defined", + "output_type": "error", + "traceback": [ + "\u001b[31m---------------------------------------------------------------------------\u001b[39m", + "\u001b[31mNameError\u001b[39m Traceback (most recent call last)", + "\u001b[36mCell\u001b[39m\u001b[36m \u001b[39m\u001b[32mIn[61]\u001b[39m\u001b[32m, line 63\u001b[39m\n\u001b[32m 58\u001b[39m plt.show()\n\u001b[32m 62\u001b[39m \u001b[38;5;28;01mfor\u001b[39;00m _, row \u001b[38;5;129;01min\u001b[39;00m sample_isin.iterrows():\n\u001b[32m---> \u001b[39m\u001b[32m63\u001b[39m \u001b[43mplot_isin_dynamics\u001b[49m(\n\u001b[32m 64\u001b[39m df,\n\u001b[32m 65\u001b[39m row[\u001b[33m\"\u001b[39m\u001b[33mRegistrar Account - ID\u001b[39m\u001b[33m\"\u001b[39m],\n\u001b[32m 66\u001b[39m row[\u001b[33m\"\u001b[39m\u001b[33mProduct - Isin\u001b[39m\u001b[33m\"\u001b[39m]\n\u001b[32m 67\u001b[39m )\n", + "\u001b[31mNameError\u001b[39m: name 'plot_isin_dynamics' is not defined" + ] + } + ], + "source": [ + "# Option B (alternative) : les plus sévères\n", + "# sample_isin = problematic_isin.sort_values(\n", + "# \"rupture_ratio\", ascending=False\n", + "# ).head(10)\n", + "\n", + "sample_isin = rupture_isin_summary.sort_values(\n", + " \"rupture_ratio\",\n", + " ascending=False\n", + ").head(10)\n", + "\n", + "def plot_isin_dynamics_clean(df, account_id, isin):\n", + " sub = df[\n", + " (df[\"Registrar Account - ID\"] == account_id) &\n", + " (df[\"Product - Isin\"] == isin)\n", + " ].sort_values(\"Centralisation Date\")\n", + "\n", + " if sub.empty:\n", + " return\n", + "\n", + " fig, ax = plt.subplots(figsize=(7.5, 3))\n", + "\n", + " # AUM observé\n", + " ax.plot(\n", + " sub[\"Centralisation Date\"],\n", + " sub[\"Quantity - AUM\"],\n", + " label=\"Observed AUM\",\n", + " linewidth=2,\n", + " color=\"black\"\n", + " )\n", + "\n", + " # AUM attendu\n", + " ax.plot(\n", + " sub[\"Centralisation Date\"],\n", + " sub[\"expected_stock\"],\n", + " label=\"Flow-implied AUM\",\n", + " linestyle=\"--\",\n", + " linewidth=2,\n", + " color=\"grey\"\n", + " )\n", + "\n", + " # Ruptures\n", + " rupt = sub[sub[\"rupture_flag\"]]\n", + " ax.scatter(\n", + " rupt[\"Centralisation Date\"],\n", + " rupt[\"Quantity - AUM\"],\n", + " color=\"red\",\n", + " s=25,\n", + " zorder=5,\n", + " label=\"Discontinuity\"\n", + " )\n", + "\n", + " ax.set_title(f\"Account {account_id} — ISIN {isin}\", fontsize=11)\n", + " ax.set_xlabel(\"\")\n", + " ax.set_ylabel(\"AUM (shares)\")\n", + " ax.legend(loc=\"best\")\n", + "\n", + " plt.tight_layout()\n", + " plt.show()\n", + "\n", + "\n", + "\n", + "for _, row in sample_isin.iterrows():\n", + " plot_isin_dynamics(\n", + " df,\n", + " row[\"Registrar Account - ID\"],\n", + " row[\"Product - Isin\"]\n", + " )" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "id": "aef8ceb9-28a6-4908-ae24-a88d85b64309", + "metadata": {}, + "outputs": [ + { + "ename": "KeyError", + "evalue": "\"Column(s) ['rupture_flag'] do not exist\"", + "output_type": "error", + "traceback": [ + "\u001b[31m---------------------------------------------------------------------------\u001b[39m", + "\u001b[31mKeyError\u001b[39m Traceback (most recent call last)", + "\u001b[36mCell\u001b[39m\u001b[36m \u001b[39m\u001b[32mIn[28]\u001b[39m\u001b[32m, line 6\u001b[39m\n\u001b[32m 1\u001b[39m \u001b[38;5;66;03m# ------------------------------------------------------------\u001b[39;00m\n\u001b[32m 2\u001b[39m \u001b[38;5;66;03m# 1. Aggregate rupture rate over time\u001b[39;00m\n\u001b[32m 3\u001b[39m \u001b[38;5;66;03m# ------------------------------------------------------------\u001b[39;00m\n\u001b[32m 4\u001b[39m time_stats = (\n\u001b[32m 5\u001b[39m \u001b[43mdf\u001b[49m\u001b[43m.\u001b[49m\u001b[43mgroupby\u001b[49m\u001b[43m(\u001b[49m\u001b[33;43m\"\u001b[39;49m\u001b[33;43mCentralisation Date\u001b[39;49m\u001b[33;43m\"\u001b[39;49m\u001b[43m)\u001b[49m\n\u001b[32m----> \u001b[39m\u001b[32m6\u001b[39m \u001b[43m \u001b[49m\u001b[43m.\u001b[49m\u001b[43magg\u001b[49m\u001b[43m(\u001b[49m\n\u001b[32m 7\u001b[39m \u001b[43m \u001b[49m\u001b[43mtotal_obs\u001b[49m\u001b[43m=\u001b[49m\u001b[43m(\u001b[49m\u001b[33;43m\"\u001b[39;49m\u001b[33;43mrupture_flag\u001b[39;49m\u001b[33;43m\"\u001b[39;49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[33;43m\"\u001b[39;49m\u001b[33;43mcount\u001b[39;49m\u001b[33;43m\"\u001b[39;49m\u001b[43m)\u001b[49m\u001b[43m,\u001b[49m\n\u001b[32m 8\u001b[39m \u001b[43m \u001b[49m\u001b[43mn_ruptures\u001b[49m\u001b[43m=\u001b[49m\u001b[43m(\u001b[49m\u001b[33;43m\"\u001b[39;49m\u001b[33;43mrupture_flag\u001b[39;49m\u001b[33;43m\"\u001b[39;49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[33;43m\"\u001b[39;49m\u001b[33;43msum\u001b[39;49m\u001b[33;43m\"\u001b[39;49m\u001b[43m)\u001b[49m\n\u001b[32m 9\u001b[39m \u001b[43m \u001b[49m\u001b[43m)\u001b[49m\n\u001b[32m 10\u001b[39m .reset_index()\n\u001b[32m 11\u001b[39m )\n\u001b[32m 13\u001b[39m time_stats[\u001b[33m\"\u001b[39m\u001b[33mrupture_rate\u001b[39m\u001b[33m\"\u001b[39m] = (\n\u001b[32m 14\u001b[39m time_stats[\u001b[33m\"\u001b[39m\u001b[33mn_ruptures\u001b[39m\u001b[33m\"\u001b[39m] / time_stats[\u001b[33m\"\u001b[39m\u001b[33mtotal_obs\u001b[39m\u001b[33m\"\u001b[39m]\n\u001b[32m 15\u001b[39m )\n\u001b[32m 17\u001b[39m \u001b[38;5;66;03m# ------------------------------------------------------------\u001b[39;00m\n\u001b[32m 18\u001b[39m \u001b[38;5;66;03m# 2. Smooth (optional but recommended for readability)\u001b[39;00m\n\u001b[32m 19\u001b[39m \u001b[38;5;66;03m# ------------------------------------------------------------\u001b[39;00m\n", + "\u001b[36mFile \u001b[39m\u001b[32m/opt/python/lib/python3.13/site-packages/pandas/core/groupby/generic.py:1432\u001b[39m, in \u001b[36mDataFrameGroupBy.aggregate\u001b[39m\u001b[34m(self, func, engine, engine_kwargs, *args, **kwargs)\u001b[39m\n\u001b[32m 1429\u001b[39m kwargs[\u001b[33m\"\u001b[39m\u001b[33mengine_kwargs\u001b[39m\u001b[33m\"\u001b[39m] = engine_kwargs\n\u001b[32m 1431\u001b[39m op = GroupByApply(\u001b[38;5;28mself\u001b[39m, func, args=args, kwargs=kwargs)\n\u001b[32m-> \u001b[39m\u001b[32m1432\u001b[39m result = \u001b[43mop\u001b[49m\u001b[43m.\u001b[49m\u001b[43magg\u001b[49m\u001b[43m(\u001b[49m\u001b[43m)\u001b[49m\n\u001b[32m 1433\u001b[39m \u001b[38;5;28;01mif\u001b[39;00m \u001b[38;5;129;01mnot\u001b[39;00m is_dict_like(func) \u001b[38;5;129;01mand\u001b[39;00m result \u001b[38;5;129;01mis\u001b[39;00m \u001b[38;5;129;01mnot\u001b[39;00m \u001b[38;5;28;01mNone\u001b[39;00m:\n\u001b[32m 1434\u001b[39m \u001b[38;5;66;03m# GH #52849\u001b[39;00m\n\u001b[32m 1435\u001b[39m \u001b[38;5;28;01mif\u001b[39;00m \u001b[38;5;129;01mnot\u001b[39;00m \u001b[38;5;28mself\u001b[39m.as_index \u001b[38;5;129;01mand\u001b[39;00m is_list_like(func):\n", + "\u001b[36mFile \u001b[39m\u001b[32m/opt/python/lib/python3.13/site-packages/pandas/core/apply.py:190\u001b[39m, in \u001b[36mApply.agg\u001b[39m\u001b[34m(self)\u001b[39m\n\u001b[32m 187\u001b[39m \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[38;5;28mself\u001b[39m.apply_str()\n\u001b[32m 189\u001b[39m \u001b[38;5;28;01mif\u001b[39;00m is_dict_like(func):\n\u001b[32m--> \u001b[39m\u001b[32m190\u001b[39m \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[38;5;28;43mself\u001b[39;49m\u001b[43m.\u001b[49m\u001b[43magg_dict_like\u001b[49m\u001b[43m(\u001b[49m\u001b[43m)\u001b[49m\n\u001b[32m 191\u001b[39m \u001b[38;5;28;01melif\u001b[39;00m is_list_like(func):\n\u001b[32m 192\u001b[39m \u001b[38;5;66;03m# we require a list, but not a 'str'\u001b[39;00m\n\u001b[32m 193\u001b[39m \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[38;5;28mself\u001b[39m.agg_list_like()\n", + "\u001b[36mFile \u001b[39m\u001b[32m/opt/python/lib/python3.13/site-packages/pandas/core/apply.py:423\u001b[39m, in \u001b[36mApply.agg_dict_like\u001b[39m\u001b[34m(self)\u001b[39m\n\u001b[32m 415\u001b[39m \u001b[38;5;28;01mdef\u001b[39;00m\u001b[38;5;250m \u001b[39m\u001b[34magg_dict_like\u001b[39m(\u001b[38;5;28mself\u001b[39m) -> DataFrame | Series:\n\u001b[32m 416\u001b[39m \u001b[38;5;250m \u001b[39m\u001b[33;03m\"\"\"\u001b[39;00m\n\u001b[32m 417\u001b[39m \u001b[33;03m Compute aggregation in the case of a dict-like argument.\u001b[39;00m\n\u001b[32m 418\u001b[39m \n\u001b[32m (...)\u001b[39m\u001b[32m 421\u001b[39m \u001b[33;03m Result of aggregation.\u001b[39;00m\n\u001b[32m 422\u001b[39m \u001b[33;03m \"\"\"\u001b[39;00m\n\u001b[32m--> \u001b[39m\u001b[32m423\u001b[39m \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[38;5;28;43mself\u001b[39;49m\u001b[43m.\u001b[49m\u001b[43magg_or_apply_dict_like\u001b[49m\u001b[43m(\u001b[49m\u001b[43mop_name\u001b[49m\u001b[43m=\u001b[49m\u001b[33;43m\"\u001b[39;49m\u001b[33;43magg\u001b[39;49m\u001b[33;43m\"\u001b[39;49m\u001b[43m)\u001b[49m\n", + "\u001b[36mFile \u001b[39m\u001b[32m/opt/python/lib/python3.13/site-packages/pandas/core/apply.py:1603\u001b[39m, in \u001b[36mGroupByApply.agg_or_apply_dict_like\u001b[39m\u001b[34m(self, op_name)\u001b[39m\n\u001b[32m 1598\u001b[39m kwargs.update({\u001b[33m\"\u001b[39m\u001b[33mengine\u001b[39m\u001b[33m\"\u001b[39m: engine, \u001b[33m\"\u001b[39m\u001b[33mengine_kwargs\u001b[39m\u001b[33m\"\u001b[39m: engine_kwargs})\n\u001b[32m 1600\u001b[39m \u001b[38;5;28;01mwith\u001b[39;00m com.temp_setattr(\n\u001b[32m 1601\u001b[39m obj, \u001b[33m\"\u001b[39m\u001b[33mas_index\u001b[39m\u001b[33m\"\u001b[39m, \u001b[38;5;28;01mTrue\u001b[39;00m, condition=\u001b[38;5;28mhasattr\u001b[39m(obj, \u001b[33m\"\u001b[39m\u001b[33mas_index\u001b[39m\u001b[33m\"\u001b[39m)\n\u001b[32m 1602\u001b[39m ):\n\u001b[32m-> \u001b[39m\u001b[32m1603\u001b[39m result_index, result_data = \u001b[38;5;28;43mself\u001b[39;49m\u001b[43m.\u001b[49m\u001b[43mcompute_dict_like\u001b[49m\u001b[43m(\u001b[49m\n\u001b[32m 1604\u001b[39m \u001b[43m \u001b[49m\u001b[43mop_name\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mselected_obj\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mselection\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mkwargs\u001b[49m\n\u001b[32m 1605\u001b[39m \u001b[43m \u001b[49m\u001b[43m)\u001b[49m\n\u001b[32m 1606\u001b[39m result = \u001b[38;5;28mself\u001b[39m.wrap_results_dict_like(selected_obj, result_index, result_data)\n\u001b[32m 1607\u001b[39m \u001b[38;5;28;01mreturn\u001b[39;00m result\n", + "\u001b[36mFile \u001b[39m\u001b[32m/opt/python/lib/python3.13/site-packages/pandas/core/apply.py:462\u001b[39m, in \u001b[36mApply.compute_dict_like\u001b[39m\u001b[34m(self, op_name, selected_obj, selection, kwargs)\u001b[39m\n\u001b[32m 460\u001b[39m is_groupby = \u001b[38;5;28misinstance\u001b[39m(obj, (DataFrameGroupBy, SeriesGroupBy))\n\u001b[32m 461\u001b[39m func = cast(AggFuncTypeDict, \u001b[38;5;28mself\u001b[39m.func)\n\u001b[32m--> \u001b[39m\u001b[32m462\u001b[39m func = \u001b[38;5;28;43mself\u001b[39;49m\u001b[43m.\u001b[49m\u001b[43mnormalize_dictlike_arg\u001b[49m\u001b[43m(\u001b[49m\u001b[43mop_name\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mselected_obj\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mfunc\u001b[49m\u001b[43m)\u001b[49m\n\u001b[32m 464\u001b[39m is_non_unique_col = (\n\u001b[32m 465\u001b[39m selected_obj.ndim == \u001b[32m2\u001b[39m\n\u001b[32m 466\u001b[39m \u001b[38;5;129;01mand\u001b[39;00m selected_obj.columns.nunique() < \u001b[38;5;28mlen\u001b[39m(selected_obj.columns)\n\u001b[32m 467\u001b[39m )\n\u001b[32m 469\u001b[39m \u001b[38;5;28;01mif\u001b[39;00m selected_obj.ndim == \u001b[32m1\u001b[39m:\n\u001b[32m 470\u001b[39m \u001b[38;5;66;03m# key only used for output\u001b[39;00m\n", + "\u001b[36mFile \u001b[39m\u001b[32m/opt/python/lib/python3.13/site-packages/pandas/core/apply.py:663\u001b[39m, in \u001b[36mApply.normalize_dictlike_arg\u001b[39m\u001b[34m(self, how, obj, func)\u001b[39m\n\u001b[32m 661\u001b[39m cols = Index(\u001b[38;5;28mlist\u001b[39m(func.keys())).difference(obj.columns, sort=\u001b[38;5;28;01mTrue\u001b[39;00m)\n\u001b[32m 662\u001b[39m \u001b[38;5;28;01mif\u001b[39;00m \u001b[38;5;28mlen\u001b[39m(cols) > \u001b[32m0\u001b[39m:\n\u001b[32m--> \u001b[39m\u001b[32m663\u001b[39m \u001b[38;5;28;01mraise\u001b[39;00m \u001b[38;5;167;01mKeyError\u001b[39;00m(\u001b[33mf\u001b[39m\u001b[33m\"\u001b[39m\u001b[33mColumn(s) \u001b[39m\u001b[38;5;132;01m{\u001b[39;00m\u001b[38;5;28mlist\u001b[39m(cols)\u001b[38;5;132;01m}\u001b[39;00m\u001b[33m do not exist\u001b[39m\u001b[33m\"\u001b[39m)\n\u001b[32m 665\u001b[39m aggregator_types = (\u001b[38;5;28mlist\u001b[39m, \u001b[38;5;28mtuple\u001b[39m, \u001b[38;5;28mdict\u001b[39m)\n\u001b[32m 667\u001b[39m \u001b[38;5;66;03m# if we have a dict of any non-scalars\u001b[39;00m\n\u001b[32m 668\u001b[39m \u001b[38;5;66;03m# eg. {'A' : ['mean']}, normalize all to\u001b[39;00m\n\u001b[32m 669\u001b[39m \u001b[38;5;66;03m# be list-likes\u001b[39;00m\n\u001b[32m 670\u001b[39m \u001b[38;5;66;03m# Cannot use func.values() because arg may be a Series\u001b[39;00m\n", + "\u001b[31mKeyError\u001b[39m: \"Column(s) ['rupture_flag'] do not exist\"" + ] + } + ], + "source": [ + "# ------------------------------------------------------------\n", + "# 1. Aggregate rupture rate over time\n", + "# ------------------------------------------------------------\n", + "time_stats = (\n", + " df.groupby(\"Centralisation Date\")\n", + " .agg(\n", + " total_obs=(\"rupture_flag\", \"count\"),\n", + " n_ruptures=(\"rupture_flag\", \"sum\")\n", + " )\n", + " .reset_index()\n", + ")\n", + "\n", + "time_stats[\"rupture_rate\"] = (\n", + " time_stats[\"n_ruptures\"] / time_stats[\"total_obs\"]\n", + ")\n", + "\n", + "# ------------------------------------------------------------\n", + "# 2. Smooth (optional but recommended for readability)\n", + "# ------------------------------------------------------------\n", + "time_stats[\"rupture_rate_ma\"] = (\n", + " time_stats[\"rupture_rate\"]\n", + " .rolling(window=6, center=True) # 6 periods ≈ half-year\n", + " .mean()\n", + ")\n", + "\n", + "# ------------------------------------------------------------\n", + "# 3. Professional plot\n", + "# ------------------------------------------------------------\n", + "plt.figure(figsize=(12, 5))\n", + "\n", + "plt.plot(\n", + " time_stats[\"Centralisation Date\"],\n", + " time_stats[\"rupture_rate\"] * 100,\n", + " color=\"lightgray\",\n", + " linewidth=1,\n", + " alpha=0.6,\n", + " label=\"Monthly rupture rate\"\n", + ")\n", + "\n", + "plt.plot(\n", + " time_stats[\"Centralisation Date\"],\n", + " time_stats[\"rupture_rate_ma\"] * 100,\n", + " color=\"#1f77b4\",\n", + " linewidth=2.5,\n", + " label=\"6-month moving average\"\n", + ")\n", + "\n", + "plt.ylabel(\"Rupture rate (%)\")\n", + "plt.xlabel(\"Date\")\n", + "\n", + "plt.grid(True, linestyle=\"--\", alpha=0.4)\n", + "plt.legend(frameon=False)\n", + "\n", + "plt.tight_layout()\n", + "plt.show()\n" + ] + }, + { + "cell_type": "code", + "execution_count": 63, + "id": "6624939b-f079-4e02-9989-60462e9f5356", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# ------------------------------------------------------------\n", + "# 1. Aggregate rupture rate over time\n", + "# CORRECTED: denominator = only observations with active flows\n", + "# ------------------------------------------------------------\n", + "\n", + "# Active observations = at least one non-zero flow at this date\n", + "active_obs = df[df[\"Quantity - NetFlows\"] != 0]\n", + "\n", + "time_stats = (\n", + " active_obs\n", + " .groupby(\"Centralisation Date\")\n", + " .agg(\n", + " total_obs=(\"rupture_flag\", \"count\"), # only active flow observations\n", + " n_ruptures=(\"rupture_flag\", \"sum\")\n", + " )\n", + " .reset_index()\n", + ")\n", + "\n", + "time_stats[\"rupture_rate\"] = (\n", + " time_stats[\"n_ruptures\"] / time_stats[\"total_obs\"]\n", + ")\n", + "\n", + "# ------------------------------------------------------------\n", + "# 2. Smooth (6-month moving average)\n", + "# ------------------------------------------------------------\n", + "time_stats[\"rupture_rate_ma\"] = (\n", + " time_stats[\"rupture_rate\"]\n", + " .rolling(window=6, center=True)\n", + " .mean()\n", + ")\n", + "\n", + "# ------------------------------------------------------------\n", + "# 3. Plot\n", + "# ------------------------------------------------------------\n", + "plt.figure(figsize=(12, 5))\n", + "\n", + "plt.plot(\n", + " time_stats[\"Centralisation Date\"],\n", + " time_stats[\"rupture_rate\"] * 100,\n", + " color=\"lightgray\",\n", + " linewidth=1,\n", + " alpha=0.6,\n", + " label=\"Monthly rupture rate (active flows only)\"\n", + ")\n", + "\n", + "plt.plot(\n", + " time_stats[\"Centralisation Date\"],\n", + " time_stats[\"rupture_rate_ma\"] * 100,\n", + " color=\"#1f77b4\",\n", + " linewidth=2.5,\n", + " label=\"6-month moving average\"\n", + ")\n", + "\n", + "plt.ylabel(\"Rupture rate (%)\")\n", + "plt.xlabel(\"Date\")\n", + "plt.grid(True, linestyle=\"--\", alpha=0.4)\n", + "plt.legend(frameon=False)\n", + "plt.tight_layout()\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "id": "d6ee0c24-e14e-4c40-97d4-49879229790c", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/tmp/ipykernel_1311/1047489516.py:6: FutureWarning:\n", + "\n", + "DataFrameGroupBy.apply operated on the grouping columns. This behavior is deprecated, and in a future version of pandas the grouping columns will be excluded from the operation. Either pass `include_groups=False` to exclude the groupings or explicitly select the grouping columns after groupby to silence this warning.\n", + "\n" + ] + }, + { + "data": { + "text/plain": [ + "has_reset\n", + "True 64192\n", + "False 15545\n", + "Name: count, dtype: int64" + ] + }, + "execution_count": 14, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "EPS = 1e-6 # seuil numérique\n", + "\n", + "reset_candidates = (\n", + " df\n", + " .groupby([\"Registrar Account - ID\", \"Product - Isin\"])\n", + " .apply(\n", + " lambda g: (\n", + " (g[\"Quantity - AUM\"].abs() < EPS) &\n", + " (g[\"expected_stock\"].abs() < EPS)\n", + " ).any()\n", + " )\n", + " .reset_index(name=\"has_reset\")\n", + ")\n", + "\n", + "reset_candidates[\"has_reset\"].value_counts()\n" + ] + }, + { + "cell_type": "code", + "execution_count": 47, + "id": "601f61b8-0115-431d-97de-6ec5a0f1d4f4", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " Before repair After repair Repaired points\n", + "0 756392 22357 18440\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/tmp/ipykernel_1311/3061846510.py:66: FutureWarning:\n", + "\n", + "DataFrameGroupBy.apply operated on the grouping columns. This behavior is deprecated, and in a future version of pandas the grouping columns will be excluded from the operation. Either pass `include_groups=False` to exclude the groupings or explicitly select the grouping columns after groupby to silence this warning.\n", + "\n" + ] + } + ], + "source": [ + "GAP_TOL = 1e-6\n", + "REL_GAP_THR = 0.05\n", + "MIN_PERSISTENCE = 3\n", + "\n", + "df = merged_isin.copy().sort_values(\n", + " [\"Registrar Account - ID\", \"Product - Isin\", \"Centralisation Date\"]\n", + ")\n", + "\n", + "df[\"corrected_aum\"] = df[\"Quantity - AUM\"]\n", + "df[\"repair_flag\"] = False\n", + "\n", + "def repair_group(g):\n", + " g = g.copy()\n", + "\n", + " obs = g[\"Quantity - AUM\"].values\n", + " flows = g[\"Quantity - NetFlows\"].values\n", + "\n", + " corrected = obs.copy()\n", + "\n", + " # Initial expected path\n", + " expected = np.empty_like(obs)\n", + " expected[0] = np.nan\n", + "\n", + " for t in range(1, len(obs)):\n", + " expected[t] = corrected[t-1] + flows[t-1]\n", + "\n", + " gap = obs - expected\n", + " rel_gap = np.abs(gap) / np.maximum(np.abs(expected), 1.0)\n", + "\n", + " idx = None\n", + "\n", + " for i in range(1, len(obs) - MIN_PERSISTENCE):\n", + " if (\n", + " rel_gap[i] > REL_GAP_THR\n", + " and np.all(np.abs(gap[i:i+MIN_PERSISTENCE] - gap[i]) < GAP_TOL)\n", + " and np.all(np.abs(np.diff(flows[i:i+MIN_PERSISTENCE])) < GAP_TOL)\n", + " ):\n", + " idx = i\n", + " break\n", + "\n", + " if idx is None:\n", + " return g\n", + "\n", + " # Apply correction\n", + " shift = gap[idx]\n", + " corrected[idx:] = obs[idx:] - shift\n", + "\n", + " g.loc[g.index[idx]:, \"repair_flag\"] = True\n", + "\n", + " # Rebuild expected stock AFTER correction\n", + " expected_corr = np.empty_like(obs)\n", + " expected_corr[0] = np.nan\n", + "\n", + " for t in range(1, len(obs)):\n", + " expected_corr[t] = corrected[t-1] + flows[t-1]\n", + "\n", + " g[\"corrected_aum\"] = corrected\n", + " g[\"expected_stock_corr\"] = expected_corr\n", + "\n", + " return g\n", + "\n", + "\n", + "df = (\n", + " df\n", + " .groupby([\"Registrar Account - ID\", \"Product - Isin\"], group_keys=False)\n", + " .apply(repair_group)\n", + ")\n", + "\n", + "# Recompute gaps & ruptures\n", + "df[\"gap_before\"] = df[\"Quantity - AUM\"] - df[\"expected_stock\"]\n", + "df[\"gap_after\"] = df[\"corrected_aum\"] - df[\"expected_stock_corr\"]\n", + "\n", + "df[\"rupture_before\"] = df[\"gap_before\"].abs() > GAP_TOL\n", + "df[\"rupture_after\"] = df[\"gap_after\"].abs() > GAP_TOL\n", + "\n", + "summary = pd.DataFrame({\n", + " \"Before repair\": [df[\"rupture_before\"].sum()],\n", + " \"After repair\": [df[\"rupture_after\"].sum()],\n", + " \"Repaired points\": [df[\"repair_flag\"].sum()]\n", + "})\n", + "\n", + "print(summary)" + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "id": "62583cfe-a6e7-4931-a63e-4273dca97ff7", + "metadata": {}, + "outputs": [ + { + "ename": "NameError", + "evalue": "name 'df_final' is not defined", + "output_type": "error", + "traceback": [ + "\u001b[31m---------------------------------------------------------------------------\u001b[39m", + "\u001b[31mNameError\u001b[39m Traceback (most recent call last)", + "\u001b[36mCell\u001b[39m\u001b[36m \u001b[39m\u001b[32mIn[30]\u001b[39m\u001b[32m, line 4\u001b[39m\n\u001b[32m 1\u001b[39m \u001b[38;5;28;01mimport\u001b[39;00m\u001b[38;5;250m \u001b[39m\u001b[34;01mplotly\u001b[39;00m\u001b[34;01m.\u001b[39;00m\u001b[34;01mgraph_objects\u001b[39;00m\u001b[38;5;250m \u001b[39m\u001b[38;5;28;01mas\u001b[39;00m\u001b[38;5;250m \u001b[39m\u001b[34;01mgo\u001b[39;00m\n\u001b[32m 2\u001b[39m \u001b[38;5;28;01mimport\u001b[39;00m\u001b[38;5;250m \u001b[39m\u001b[34;01mpandas\u001b[39;00m\u001b[38;5;250m \u001b[39m\u001b[38;5;28;01mas\u001b[39;00m\u001b[38;5;250m \u001b[39m\u001b[34;01mpd\u001b[39;00m\n\u001b[32m----> \u001b[39m\u001b[32m4\u001b[39m df_final = \u001b[43mdf_final\u001b[49m.rename(columns={\n\u001b[32m 5\u001b[39m \u001b[33m\"\u001b[39m\u001b[33mQuantity - AUM\u001b[39m\u001b[33m\"\u001b[39m: \u001b[33m\"\u001b[39m\u001b[33maum_raw\u001b[39m\u001b[33m\"\u001b[39m,\n\u001b[32m 6\u001b[39m \u001b[33m\"\u001b[39m\u001b[33mcorrected_aum\u001b[39m\u001b[33m\"\u001b[39m: \u001b[33m\"\u001b[39m\u001b[33maum_repaired\u001b[39m\u001b[33m\"\u001b[39m,\n\u001b[32m 7\u001b[39m \u001b[33m\"\u001b[39m\u001b[33mQuantity - NetFlows\u001b[39m\u001b[33m\"\u001b[39m: \u001b[33m\"\u001b[39m\u001b[33mflows\u001b[39m\u001b[33m\"\u001b[39m,\n\u001b[32m 8\u001b[39m \u001b[33m\"\u001b[39m\u001b[33mexpected_stock\u001b[39m\u001b[33m\"\u001b[39m: \u001b[33m\"\u001b[39m\u001b[33mexpected_aum_raw\u001b[39m\u001b[33m\"\u001b[39m,\n\u001b[32m 9\u001b[39m \u001b[33m\"\u001b[39m\u001b[33mexpected_stock_corr\u001b[39m\u001b[33m\"\u001b[39m: \u001b[33m\"\u001b[39m\u001b[33mexpected_aum_repaired\u001b[39m\u001b[33m\"\u001b[39m\n\u001b[32m 10\u001b[39m })\n\u001b[32m 12\u001b[39m df[\u001b[33m\"\u001b[39m\u001b[33mgap_before\u001b[39m\u001b[33m\"\u001b[39m] = df[\u001b[33m\"\u001b[39m\u001b[33mQuantity - AUM\u001b[39m\u001b[33m\"\u001b[39m] - df[\u001b[33m\"\u001b[39m\u001b[33mexpected_stock\u001b[39m\u001b[33m\"\u001b[39m]\n\u001b[32m 13\u001b[39m df[\u001b[33m\"\u001b[39m\u001b[33mgap_after\u001b[39m\u001b[33m\"\u001b[39m] = df[\u001b[33m\"\u001b[39m\u001b[33mcorrected_aum\u001b[39m\u001b[33m\"\u001b[39m] - df[\u001b[33m\"\u001b[39m\u001b[33mexpected_stock_corr\u001b[39m\u001b[33m\"\u001b[39m]\n", + "\u001b[31mNameError\u001b[39m: name 'df_final' is not defined" + ] + } + ], + "source": [ + "import plotly.graph_objects as go\n", + "import pandas as pd\n", + "\n", + "# ============================================================\n", + "# Parameters (fixed epsilon)\n", + "# ============================================================\n", + "GAP_EPS = 100 # fixed tolerance for accounting identity\n", + "\n", + "# ============================================================\n", + "# 1. Define ruptures using a FIXED epsilon\n", + "# ============================================================\n", + "df = df.copy()\n", + "\n", + "df[\"rupture_before\"] = df[\"gap_before\"].abs() > GAP_EPS\n", + "df[\"rupture_after\"] = df[\"gap_after\"].abs() > GAP_EPS\n", + "\n", + "# ============================================================\n", + "# 2. Rupture ratios BEFORE repair\n", + "# ============================================================\n", + "rupture_summary_before = (\n", + " df\n", + " .groupby([\"Registrar Account - ID\", \"Product - Isin\"])\n", + " .agg(\n", + " n_obs=(\"rupture_before\", \"count\"),\n", + " n_ruptures=(\"rupture_before\", \"sum\")\n", + " )\n", + " .reset_index()\n", + ")\n", + "\n", + "rupture_summary_before[\"rupture_ratio\"] = (\n", + " rupture_summary_before[\"n_ruptures\"] /\n", + " rupture_summary_before[\"n_obs\"]\n", + ")\n", + "\n", + "# ============================================================\n", + "# 3. Rupture ratios AFTER repair\n", + "# ============================================================\n", + "rupture_summary_after = (\n", + " df\n", + " .groupby([\"Registrar Account - ID\", \"Product - Isin\"])\n", + " .agg(\n", + " n_obs=(\"rupture_after\", \"count\"),\n", + " n_ruptures=(\"rupture_after\", \"sum\")\n", + " )\n", + " .reset_index()\n", + ")\n", + "\n", + "rupture_summary_after[\"rupture_ratio\"] = (\n", + " rupture_summary_after[\"n_ruptures\"] /\n", + " rupture_summary_after[\"n_obs\"]\n", + ")\n", + "\n", + "# ============================================================\n", + "# 4. Rupture intensity classes (fixed bins)\n", + "# ============================================================\n", + "bins = [0.0, 0.01, 0.10, 0.30, 1.0]\n", + "labels = [\n", + " \"Clean / quasi-clean (≤1%)\",\n", + " \"Moderate (1–10%)\",\n", + " \"High (10–30%)\",\n", + " \"Severe (>30%)\"\n", + "]\n", + "\n", + "rupture_summary_before[\"rupture_class\"] = pd.cut(\n", + " rupture_summary_before[\"rupture_ratio\"],\n", + " bins=bins,\n", + " labels=labels,\n", + " include_lowest=True\n", + ")\n", + "\n", + "rupture_summary_after[\"rupture_class\"] = pd.cut(\n", + " rupture_summary_after[\"rupture_ratio\"],\n", + " bins=bins,\n", + " labels=labels,\n", + " include_lowest=True\n", + ")\n", + "\n", + "# ============================================================\n", + "# 5. Distribution (%)\n", + "# ============================================================\n", + "dist_before = (\n", + " rupture_summary_before[\"rupture_class\"]\n", + " .value_counts(normalize=True)\n", + " .sort_index()\n", + " * 100\n", + ").round(1)\n", + "\n", + "dist_after = (\n", + " rupture_summary_after[\"rupture_class\"]\n", + " .value_counts(normalize=True)\n", + " .sort_index()\n", + " * 100\n", + ").round(1)\n", + "\n", + "# ============================================================\n", + "# 6. Donut chart: BEFORE vs AFTER (fixed epsilon)\n", + "# ============================================================\n", + "fig = go.Figure()\n", + "\n", + "fig.add_trace(go.Pie(\n", + " labels=dist_before.index,\n", + " values=dist_before.values,\n", + " hole=0.45,\n", + " name=\"Before repair\",\n", + " domain=dict(x=[0.0, 0.48]),\n", + " textinfo=\"percent\",\n", + " hoverinfo=\"label+percent\"\n", + "))\n", + "\n", + "fig.add_trace(go.Pie(\n", + " labels=dist_after.index,\n", + " values=dist_after.values,\n", + " hole=0.45,\n", + " name=\"After repair\",\n", + " domain=dict(x=[0.52, 1.0]),\n", + " textinfo=\"percent\",\n", + " hoverinfo=\"label+percent\"\n", + "))\n", + "\n", + "fig.update_layout(\n", + " title=\"Distribution of AUM–flow rupture intensity before vs after repair (fixed ε)\",\n", + " annotations=[\n", + " dict(text=\"Before repair\", x=0.24, y=0.5, showarrow=False),\n", + " dict(text=\"After repair\", x=0.76, y=0.5, showarrow=False),\n", + " ],\n", + " legend=dict(\n", + " orientation=\"h\",\n", + " yanchor=\"top\",\n", + " y=-0.15,\n", + " xanchor=\"center\",\n", + " x=0.5\n", + " ),\n", + " legend_title_text=\"Rupture ratio\"\n", + ")\n", + "\n", + "fig.show()\n" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "id": "70cf0a99-bd19-41a9-9574-88647fde09ca", + "metadata": {}, + "outputs": [ + { + "ename": "KeyError", + "evalue": "\"['Quantity - AUM', 'corrected_aum', 'Quantity - NetFlows', 'expected_stock', 'expected_stock_corr', 'gap_before', 'gap_after'] not in index\"", + "output_type": "error", + "traceback": [ + "\u001b[31m---------------------------------------------------------------------------\u001b[39m", + "\u001b[31mKeyError\u001b[39m Traceback (most recent call last)", + "\u001b[36mCell\u001b[39m\u001b[36m \u001b[39m\u001b[32mIn[31]\u001b[39m\u001b[32m, line 10\u001b[39m\n\u001b[32m 5\u001b[39m df_final = df.copy()\n\u001b[32m 7\u001b[39m \u001b[38;5;66;03m# ------------------------------------------------------------\u001b[39;00m\n\u001b[32m 8\u001b[39m \u001b[38;5;66;03m# Core variables (before / after)\u001b[39;00m\n\u001b[32m 9\u001b[39m \u001b[38;5;66;03m# ------------------------------------------------------------\u001b[39;00m\n\u001b[32m---> \u001b[39m\u001b[32m10\u001b[39m df_final = \u001b[43mdf_final\u001b[49m\u001b[43m[\u001b[49m\u001b[43m[\u001b[49m\n\u001b[32m 11\u001b[39m \u001b[43m \u001b[49m\u001b[33;43m\"\u001b[39;49m\u001b[33;43mRegistrar Account - ID\u001b[39;49m\u001b[33;43m\"\u001b[39;49m\u001b[43m,\u001b[49m\n\u001b[32m 12\u001b[39m \u001b[43m \u001b[49m\u001b[33;43m\"\u001b[39;49m\u001b[33;43mProduct - Isin\u001b[39;49m\u001b[33;43m\"\u001b[39;49m\u001b[43m,\u001b[49m\n\u001b[32m 13\u001b[39m \u001b[43m \u001b[49m\u001b[33;43m\"\u001b[39;49m\u001b[33;43mCentralisation Date\u001b[39;49m\u001b[33;43m\"\u001b[39;49m\u001b[43m,\u001b[49m\n\u001b[32m 14\u001b[39m \u001b[43m \u001b[49m\u001b[33;43m\"\u001b[39;49m\u001b[33;43mQuantity - AUM\u001b[39;49m\u001b[33;43m\"\u001b[39;49m\u001b[43m,\u001b[49m\n\u001b[32m 15\u001b[39m \u001b[43m \u001b[49m\u001b[33;43m\"\u001b[39;49m\u001b[33;43mcorrected_aum\u001b[39;49m\u001b[33;43m\"\u001b[39;49m\u001b[43m,\u001b[49m\n\u001b[32m 16\u001b[39m \u001b[43m \u001b[49m\u001b[33;43m\"\u001b[39;49m\u001b[33;43mQuantity - NetFlows\u001b[39;49m\u001b[33;43m\"\u001b[39;49m\u001b[43m,\u001b[49m\n\u001b[32m 17\u001b[39m \u001b[43m \u001b[49m\u001b[33;43m\"\u001b[39;49m\u001b[33;43mexpected_stock\u001b[39;49m\u001b[33;43m\"\u001b[39;49m\u001b[43m,\u001b[49m\n\u001b[32m 18\u001b[39m \u001b[43m \u001b[49m\u001b[33;43m\"\u001b[39;49m\u001b[33;43mexpected_stock_corr\u001b[39;49m\u001b[33;43m\"\u001b[39;49m\u001b[43m,\u001b[49m\n\u001b[32m 19\u001b[39m \u001b[43m \u001b[49m\u001b[33;43m\"\u001b[39;49m\u001b[33;43mgap_before\u001b[39;49m\u001b[33;43m\"\u001b[39;49m\u001b[43m,\u001b[49m\n\u001b[32m 20\u001b[39m \u001b[43m \u001b[49m\u001b[33;43m\"\u001b[39;49m\u001b[33;43mgap_after\u001b[39;49m\u001b[33;43m\"\u001b[39;49m\u001b[43m,\u001b[49m\n\u001b[32m 21\u001b[39m \u001b[43m \u001b[49m\u001b[33;43m\"\u001b[39;49m\u001b[33;43mrepair_flag\u001b[39;49m\u001b[33;43m\"\u001b[39;49m\n\u001b[32m 22\u001b[39m \u001b[43m]\u001b[49m\u001b[43m]\u001b[49m.rename(columns={\n\u001b[32m 23\u001b[39m \u001b[33m\"\u001b[39m\u001b[33mQuantity - AUM\u001b[39m\u001b[33m\"\u001b[39m: \u001b[33m\"\u001b[39m\u001b[33maum_raw\u001b[39m\u001b[33m\"\u001b[39m,\n\u001b[32m 24\u001b[39m \u001b[33m\"\u001b[39m\u001b[33mcorrected_aum\u001b[39m\u001b[33m\"\u001b[39m: \u001b[33m\"\u001b[39m\u001b[33maum_repaired\u001b[39m\u001b[33m\"\u001b[39m,\n\u001b[32m 25\u001b[39m \u001b[33m\"\u001b[39m\u001b[33mQuantity - NetFlows\u001b[39m\u001b[33m\"\u001b[39m: \u001b[33m\"\u001b[39m\u001b[33mflows\u001b[39m\u001b[33m\"\u001b[39m,\n\u001b[32m 26\u001b[39m \u001b[33m\"\u001b[39m\u001b[33mexpected_stock\u001b[39m\u001b[33m\"\u001b[39m: \u001b[33m\"\u001b[39m\u001b[33mexpected_aum_raw\u001b[39m\u001b[33m\"\u001b[39m,\n\u001b[32m 27\u001b[39m \u001b[33m\"\u001b[39m\u001b[33mexpected_stock_corr\u001b[39m\u001b[33m\"\u001b[39m: \u001b[33m\"\u001b[39m\u001b[33mexpected_aum_repaired\u001b[39m\u001b[33m\"\u001b[39m\n\u001b[32m 28\u001b[39m })\n\u001b[32m 30\u001b[39m \u001b[38;5;66;03m# ------------------------------------------------------------\u001b[39;00m\n\u001b[32m 31\u001b[39m \u001b[38;5;66;03m# Relative gaps\u001b[39;00m\n\u001b[32m 32\u001b[39m \u001b[38;5;66;03m# ------------------------------------------------------------\u001b[39;00m\n\u001b[32m 33\u001b[39m df_final[\u001b[33m\"\u001b[39m\u001b[33mgap_rel_before\u001b[39m\u001b[33m\"\u001b[39m] = (\n\u001b[32m 34\u001b[39m df_final[\u001b[33m\"\u001b[39m\u001b[33mgap_before\u001b[39m\u001b[33m\"\u001b[39m].abs() /\n\u001b[32m 35\u001b[39m df_final[\u001b[33m\"\u001b[39m\u001b[33mexpected_aum_raw\u001b[39m\u001b[33m\"\u001b[39m].abs().clip(lower=\u001b[32m1\u001b[39m)\n\u001b[32m 36\u001b[39m )\n", + "\u001b[36mFile \u001b[39m\u001b[32m/opt/python/lib/python3.13/site-packages/pandas/core/frame.py:4119\u001b[39m, in \u001b[36mDataFrame.__getitem__\u001b[39m\u001b[34m(self, key)\u001b[39m\n\u001b[32m 4117\u001b[39m \u001b[38;5;28;01mif\u001b[39;00m is_iterator(key):\n\u001b[32m 4118\u001b[39m key = \u001b[38;5;28mlist\u001b[39m(key)\n\u001b[32m-> \u001b[39m\u001b[32m4119\u001b[39m indexer = \u001b[38;5;28;43mself\u001b[39;49m\u001b[43m.\u001b[49m\u001b[43mcolumns\u001b[49m\u001b[43m.\u001b[49m\u001b[43m_get_indexer_strict\u001b[49m\u001b[43m(\u001b[49m\u001b[43mkey\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[33;43m\"\u001b[39;49m\u001b[33;43mcolumns\u001b[39;49m\u001b[33;43m\"\u001b[39;49m\u001b[43m)\u001b[49m[\u001b[32m1\u001b[39m]\n\u001b[32m 4121\u001b[39m \u001b[38;5;66;03m# take() does not accept boolean indexers\u001b[39;00m\n\u001b[32m 4122\u001b[39m \u001b[38;5;28;01mif\u001b[39;00m \u001b[38;5;28mgetattr\u001b[39m(indexer, \u001b[33m\"\u001b[39m\u001b[33mdtype\u001b[39m\u001b[33m\"\u001b[39m, \u001b[38;5;28;01mNone\u001b[39;00m) == \u001b[38;5;28mbool\u001b[39m:\n", + "\u001b[36mFile \u001b[39m\u001b[32m/opt/python/lib/python3.13/site-packages/pandas/core/indexes/base.py:6212\u001b[39m, in \u001b[36mIndex._get_indexer_strict\u001b[39m\u001b[34m(self, key, axis_name)\u001b[39m\n\u001b[32m 6209\u001b[39m \u001b[38;5;28;01melse\u001b[39;00m:\n\u001b[32m 6210\u001b[39m keyarr, indexer, new_indexer = \u001b[38;5;28mself\u001b[39m._reindex_non_unique(keyarr)\n\u001b[32m-> \u001b[39m\u001b[32m6212\u001b[39m \u001b[38;5;28;43mself\u001b[39;49m\u001b[43m.\u001b[49m\u001b[43m_raise_if_missing\u001b[49m\u001b[43m(\u001b[49m\u001b[43mkeyarr\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mindexer\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43maxis_name\u001b[49m\u001b[43m)\u001b[49m\n\u001b[32m 6214\u001b[39m keyarr = \u001b[38;5;28mself\u001b[39m.take(indexer)\n\u001b[32m 6215\u001b[39m \u001b[38;5;28;01mif\u001b[39;00m \u001b[38;5;28misinstance\u001b[39m(key, Index):\n\u001b[32m 6216\u001b[39m \u001b[38;5;66;03m# GH 42790 - Preserve name from an Index\u001b[39;00m\n", + "\u001b[36mFile \u001b[39m\u001b[32m/opt/python/lib/python3.13/site-packages/pandas/core/indexes/base.py:6264\u001b[39m, in \u001b[36mIndex._raise_if_missing\u001b[39m\u001b[34m(self, key, indexer, axis_name)\u001b[39m\n\u001b[32m 6261\u001b[39m \u001b[38;5;28;01mraise\u001b[39;00m \u001b[38;5;167;01mKeyError\u001b[39;00m(\u001b[33mf\u001b[39m\u001b[33m\"\u001b[39m\u001b[33mNone of [\u001b[39m\u001b[38;5;132;01m{\u001b[39;00mkey\u001b[38;5;132;01m}\u001b[39;00m\u001b[33m] are in the [\u001b[39m\u001b[38;5;132;01m{\u001b[39;00maxis_name\u001b[38;5;132;01m}\u001b[39;00m\u001b[33m]\u001b[39m\u001b[33m\"\u001b[39m)\n\u001b[32m 6263\u001b[39m not_found = \u001b[38;5;28mlist\u001b[39m(ensure_index(key)[missing_mask.nonzero()[\u001b[32m0\u001b[39m]].unique())\n\u001b[32m-> \u001b[39m\u001b[32m6264\u001b[39m \u001b[38;5;28;01mraise\u001b[39;00m \u001b[38;5;167;01mKeyError\u001b[39;00m(\u001b[33mf\u001b[39m\u001b[33m\"\u001b[39m\u001b[38;5;132;01m{\u001b[39;00mnot_found\u001b[38;5;132;01m}\u001b[39;00m\u001b[33m not in index\u001b[39m\u001b[33m\"\u001b[39m)\n", + "\u001b[31mKeyError\u001b[39m: \"['Quantity - AUM', 'corrected_aum', 'Quantity - NetFlows', 'expected_stock', 'expected_stock_corr', 'gap_before', 'gap_after'] not in index\"" + ] + } + ], + "source": [ + "# ============================================================\n", + "# FINAL DATASETS AFTER REPAIR\n", + "# ============================================================\n", + "\n", + "df_final = df.copy()\n", + "\n", + "# ------------------------------------------------------------\n", + "# Core variables (before / after)\n", + "# ------------------------------------------------------------\n", + "df_final = df_final[[\n", + " \"Registrar Account - ID\",\n", + " \"Product - Isin\",\n", + " \"Centralisation Date\",\n", + " \"Quantity - AUM\",\n", + " \"corrected_aum\",\n", + " \"Quantity - NetFlows\",\n", + " \"expected_stock\",\n", + " \"expected_stock_corr\",\n", + " \"gap_before\",\n", + " \"gap_after\",\n", + " \"repair_flag\"\n", + "]].rename(columns={\n", + " \"Quantity - AUM\": \"aum_raw\",\n", + " \"corrected_aum\": \"aum_repaired\",\n", + " \"Quantity - NetFlows\": \"flows\",\n", + " \"expected_stock\": \"expected_aum_raw\",\n", + " \"expected_stock_corr\": \"expected_aum_repaired\"\n", + "})\n", + "\n", + "# ------------------------------------------------------------\n", + "# Relative gaps\n", + "# ------------------------------------------------------------\n", + "df_final[\"gap_rel_before\"] = (\n", + " df_final[\"gap_before\"].abs() /\n", + " df_final[\"expected_aum_raw\"].abs().clip(lower=1)\n", + ")\n", + "\n", + "df_final[\"gap_rel_after\"] = (\n", + " df_final[\"gap_after\"].abs() /\n", + " df_final[\"expected_aum_repaired\"].abs().clip(lower=1)\n", + ")\n", + "df_final.to_csv('df_repaired.csv')" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "befb2962-73fb-4cb8-b86e-3218ec103204", + "metadata": {}, + "outputs": [], + "source": [ + "# ============================================================\n", + "# TYPE 3 REPAIR — TEMPORARY RESET TO ZERO (ONE BLOCK)\n", + "# ============================================================\n", + "\n", + "df_type3 = df_repaired.copy()\n", + "df_type3 = df_type3.sort_values(\n", + " [\"Registrar Account - ID\", \"Product - Isin\", \"Centralisation Date\"]\n", + ")\n", + "\n", + "# Create lead/lag variables\n", + "df_type3[\"aum_prev\"] = df_type3.groupby(\n", + " [\"Registrar Account - ID\", \"Product - Isin\"]\n", + ")[\"Quantity - AUM\"].shift(1)\n", + "\n", + "df_type3[\"aum_next\"] = df_type3.groupby(\n", + " [\"Registrar Account - ID\", \"Product - Isin\"]\n", + ")[\"Quantity - AUM\"].shift(-1)\n", + "\n", + "df_type3[\"flow_prev\"] = df_type3.groupby(\n", + " [\"Registrar Account - ID\", \"Product - Isin\"]\n", + ")[\"Quantity - NetFlows\"].shift(1)\n", + "\n", + "df_type3[\"flow_next\"] = df_type3.groupby(\n", + " [\"Registrar Account - ID\", \"Product - Isin\"]\n", + ")[\"Quantity - NetFlows\"].shift(-1)\n", + "\n", + "# ------------------------------------------------------------\n", + "# Detection of temporary reset\n", + "# ------------------------------------------------------------\n", + "df_type3[\"type3_flag\"] = (\n", + " (df_type3[\"Quantity - AUM\"] == 0)\n", + " & (df_type3[\"aum_prev\"] > 0)\n", + " & (df_type3[\"aum_next\"] == df_type3[\"aum_prev\"])\n", + " & (df_type3[\"flow_prev\"].fillna(0) == 0)\n", + " & (df_type3[\"Quantity - NetFlows\"] == 0)\n", + " & (df_type3[\"flow_next\"].fillna(0) == 0)\n", + ")\n", + "\n", + "# ------------------------------------------------------------\n", + "# Repair: smooth the glitch (replace 0 by previous stock)\n", + "# ------------------------------------------------------------\n", + "df_type3.loc[df_type3[\"type3_flag\"], \"Quantity - AUM\"] = (\n", + " df_type3.loc[df_type3[\"type3_flag\"], \"aum_prev\"]\n", + ")\n", + "\n", + "# ------------------------------------------------------------\n", + "# Recompute temporal chain AFTER repair\n", + "# ------------------------------------------------------------\n", + "df_type3[\"prev_stock\"] = df_type3.groupby(\n", + " [\"Registrar Account - ID\", \"Product - Isin\"]\n", + ")[\"Quantity - AUM\"].shift(1)\n", + "\n", + "df_type3[\"prev_flows\"] = df_type3.groupby(\n", + " [\"Registrar Account - ID\", \"Product - Isin\"]\n", + ")[\"Quantity - NetFlows\"].shift(1).fillna(0)\n", + "\n", + "df_type3[\"expected_stock\"] = (\n", + " df_type3[\"prev_stock\"] + df_type3[\"prev_flows\"]\n", + ")\n", + "\n", + "df_type3[\"gap\"] = df_type3[\"Quantity - AUM\"] - df_type3[\"expected_stock\"]\n", + "df_type3[\"gap_abs\"] = df_type3[\"gap\"].abs()\n", + "df_type3[\"gap_rel\"] = (\n", + " df_type3[\"gap_abs\"] /\n", + " df_type3[\"expected_stock\"].abs().clip(lower=1)\n", + ")\n", + "\n", + "df_type3[\"rupture_flag\"] = (\n", + " df_type3[\"prev_stock\"].notna()\n", + " & (df_type3[\"gap_abs\"] > TAU_ABS)\n", + " & (df_type3[\"gap_rel\"] > TAU_REL)\n", + ")\n", + "\n", + "# ------------------------------------------------------------\n", + "# Diagnostic output\n", + "# ------------------------------------------------------------\n", + "n_type3 = df_type3[\"type3_flag\"].sum()\n", + "print(f\"Temporary reset glitches repaired (Type 3): {n_type3}\")\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "1fc44ed4-829f-4a8a-985a-31350bdbdf6d", + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "import pandas as pd\n", + "\n", + "# ------------------------------------------------------------\n", + "# 1. Sélection des ISIN avec exactement 1 rupture\n", + "# ------------------------------------------------------------\n", + "one_rupture_isin = rupture_isin_summary[\n", + " rupture_isin_summary[\"n_ruptures\"] == 1\n", + "][[\"Registrar Account - ID\", \"Product - Isin\"]].head(100)\n", + "\n", + "results = []\n", + "\n", + "# ------------------------------------------------------------\n", + "# 2. Boucle de correction test\n", + "# ------------------------------------------------------------\n", + "for _, row in one_rupture_isin.iterrows():\n", + " acc = row[\"Registrar Account - ID\"]\n", + " isin = row[\"Product - Isin\"]\n", + "\n", + " sub = df[\n", + " (df[\"Registrar Account - ID\"] == acc) &\n", + " (df[\"Product - Isin\"] == isin)\n", + " ].sort_values(\"Centralisation Date\").copy()\n", + "\n", + " # Localiser la rupture\n", + " rupture_idx = sub.index[sub[\"rupture_flag\"]]\n", + "\n", + " if sub.index.get_loc(rupture_idx[0]) > 1:\n", + " #print(sub[[\"Centralisation Date\", \"Quantity - AUM\", \"expected_stock\", \"gap\", \"rupture_flag\"]].head(100))\n", + " continue\n", + "\n", + " # Vérifier si la rupture est à la première date\n", + " first_idx = sub.index[0]\n", + " if rupture_idx[0] != first_idx:\n", + " continue\n", + "\n", + " # ----- Réparation : décaler expected_stock -----\n", + " sub[\"expected_stock_fixed\"] = sub[\"expected_stock\"].shift(-1)\n", + "\n", + " # Recalcul des gaps\n", + " sub[\"gap_fixed\"] = sub[\"Quantity - AUM\"] - sub[\"expected_stock_fixed\"]\n", + " sub[\"gap_abs_fixed\"] = sub[\"gap_fixed\"].abs()\n", + " sub[\"gap_rel_fixed\"] = sub[\"gap_abs_fixed\"] / sub[\"expected_stock_fixed\"].abs().clip(lower=1)\n", + "\n", + " # Recalcul rupture\n", + " sub[\"rupture_fixed\"] = (\n", + " sub[\"expected_stock_fixed\"].notna()\n", + " & (sub[\"gap_abs_fixed\"] > TAU_ABS)\n", + " & (sub[\"gap_rel_fixed\"] > TAU_REL)\n", + " )\n", + "\n", + " results.append({\n", + " \"Registrar Account - ID\": acc,\n", + " \"Product - Isin\": isin,\n", + " \"ruptures_before\": sub[\"rupture_flag\"].sum(),\n", + " \"ruptures_after\": sub[\"rupture_fixed\"].sum()\n", + " })\n", + "\n", + "# ------------------------------------------------------------\n", + "# 3. Résultats agrégés\n", + "# ------------------------------------------------------------\n", + "repair_test = pd.DataFrame(results)\n", + "\n", + "summary = repair_test.groupby(\n", + " [\"ruptures_before\", \"ruptures_after\"]\n", + ").size().reset_index(name=\"count\")\n", + "\n", + "repair_test, summary\n" + ] + }, + { + "cell_type": "code", + "execution_count": 50, + "id": "d85728ca-55ba-4266-b881-23536eee4ba3", + "metadata": {}, + "outputs": [ + { + "ename": "KeyError", + "evalue": "\"['corrected_aum'] not in index\"", + "output_type": "error", + "traceback": [ + "\u001b[31m---------------------------------------------------------------------------\u001b[39m", + "\u001b[31mKeyError\u001b[39m Traceback (most recent call last)", + "\u001b[36mCell\u001b[39m\u001b[36m \u001b[39m\u001b[32mIn[50]\u001b[39m\u001b[32m, line 16\u001b[39m\n\u001b[32m 10\u001b[39m stocks_repaired[\u001b[33m\"\u001b[39m\u001b[33mCentralisation Date\u001b[39m\u001b[33m\"\u001b[39m] = pd.to_datetime(\n\u001b[32m 11\u001b[39m stocks_repaired[\u001b[33m\"\u001b[39m\u001b[33mCentralisation Date\u001b[39m\u001b[33m\"\u001b[39m]\n\u001b[32m 12\u001b[39m )\n\u001b[32m 14\u001b[39m \u001b[38;5;66;03m# 2. Build repair map\u001b[39;00m\n\u001b[32m 15\u001b[39m repair_map = (\n\u001b[32m---> \u001b[39m\u001b[32m16\u001b[39m \u001b[43mdf\u001b[49m\u001b[43m[\u001b[49m\u001b[43m[\u001b[49m\n\u001b[32m 17\u001b[39m \u001b[43m \u001b[49m\u001b[33;43m\"\u001b[39;49m\u001b[33;43mRegistrar Account - ID\u001b[39;49m\u001b[33;43m\"\u001b[39;49m\u001b[43m,\u001b[49m\n\u001b[32m 18\u001b[39m \u001b[43m \u001b[49m\u001b[33;43m\"\u001b[39;49m\u001b[33;43mProduct - Isin\u001b[39;49m\u001b[33;43m\"\u001b[39;49m\u001b[43m,\u001b[49m\n\u001b[32m 19\u001b[39m \u001b[43m \u001b[49m\u001b[33;43m\"\u001b[39;49m\u001b[33;43mCentralisation Date\u001b[39;49m\u001b[33;43m\"\u001b[39;49m\u001b[43m,\u001b[49m\n\u001b[32m 20\u001b[39m \u001b[43m \u001b[49m\u001b[33;43m\"\u001b[39;49m\u001b[33;43mcorrected_aum\u001b[39;49m\u001b[33;43m\"\u001b[39;49m\u001b[43m,\u001b[49m\n\u001b[32m 21\u001b[39m \u001b[43m \u001b[49m\u001b[33;43m\"\u001b[39;49m\u001b[33;43mrepair_flag\u001b[39;49m\u001b[33;43m\"\u001b[39;49m\n\u001b[32m 22\u001b[39m \u001b[43m \u001b[49m\u001b[43m]\u001b[49m\u001b[43m]\u001b[49m\n\u001b[32m 23\u001b[39m .rename(columns={\u001b[33m\"\u001b[39m\u001b[33mcorrected_aum\u001b[39m\u001b[33m\"\u001b[39m: \u001b[33m\"\u001b[39m\u001b[33mQuantity - AUM repaired\u001b[39m\u001b[33m\"\u001b[39m})\n\u001b[32m 24\u001b[39m )\n\u001b[32m 26\u001b[39m \u001b[38;5;66;03m# 3. Merge repaired quantities\u001b[39;00m\n\u001b[32m 27\u001b[39m stocks_repaired = stocks_repaired.merge(\n\u001b[32m 28\u001b[39m repair_map,\n\u001b[32m 29\u001b[39m on=[\u001b[33m\"\u001b[39m\u001b[33mRegistrar Account - ID\u001b[39m\u001b[33m\"\u001b[39m, \u001b[33m\"\u001b[39m\u001b[33mProduct - Isin\u001b[39m\u001b[33m\"\u001b[39m, \u001b[33m\"\u001b[39m\u001b[33mCentralisation Date\u001b[39m\u001b[33m\"\u001b[39m],\n\u001b[32m 30\u001b[39m how=\u001b[33m\"\u001b[39m\u001b[33mleft\u001b[39m\u001b[33m\"\u001b[39m\n\u001b[32m 31\u001b[39m )\n", + "\u001b[36mFile \u001b[39m\u001b[32m/opt/python/lib/python3.13/site-packages/pandas/core/frame.py:4119\u001b[39m, in \u001b[36mDataFrame.__getitem__\u001b[39m\u001b[34m(self, key)\u001b[39m\n\u001b[32m 4117\u001b[39m \u001b[38;5;28;01mif\u001b[39;00m is_iterator(key):\n\u001b[32m 4118\u001b[39m key = \u001b[38;5;28mlist\u001b[39m(key)\n\u001b[32m-> \u001b[39m\u001b[32m4119\u001b[39m indexer = \u001b[38;5;28;43mself\u001b[39;49m\u001b[43m.\u001b[49m\u001b[43mcolumns\u001b[49m\u001b[43m.\u001b[49m\u001b[43m_get_indexer_strict\u001b[49m\u001b[43m(\u001b[49m\u001b[43mkey\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[33;43m\"\u001b[39;49m\u001b[33;43mcolumns\u001b[39;49m\u001b[33;43m\"\u001b[39;49m\u001b[43m)\u001b[49m[\u001b[32m1\u001b[39m]\n\u001b[32m 4121\u001b[39m \u001b[38;5;66;03m# take() does not accept boolean indexers\u001b[39;00m\n\u001b[32m 4122\u001b[39m \u001b[38;5;28;01mif\u001b[39;00m \u001b[38;5;28mgetattr\u001b[39m(indexer, \u001b[33m\"\u001b[39m\u001b[33mdtype\u001b[39m\u001b[33m\"\u001b[39m, \u001b[38;5;28;01mNone\u001b[39;00m) == \u001b[38;5;28mbool\u001b[39m:\n", + "\u001b[36mFile \u001b[39m\u001b[32m/opt/python/lib/python3.13/site-packages/pandas/core/indexes/base.py:6212\u001b[39m, in \u001b[36mIndex._get_indexer_strict\u001b[39m\u001b[34m(self, key, axis_name)\u001b[39m\n\u001b[32m 6209\u001b[39m \u001b[38;5;28;01melse\u001b[39;00m:\n\u001b[32m 6210\u001b[39m keyarr, indexer, new_indexer = \u001b[38;5;28mself\u001b[39m._reindex_non_unique(keyarr)\n\u001b[32m-> \u001b[39m\u001b[32m6212\u001b[39m \u001b[38;5;28;43mself\u001b[39;49m\u001b[43m.\u001b[49m\u001b[43m_raise_if_missing\u001b[49m\u001b[43m(\u001b[49m\u001b[43mkeyarr\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mindexer\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43maxis_name\u001b[49m\u001b[43m)\u001b[49m\n\u001b[32m 6214\u001b[39m keyarr = \u001b[38;5;28mself\u001b[39m.take(indexer)\n\u001b[32m 6215\u001b[39m \u001b[38;5;28;01mif\u001b[39;00m \u001b[38;5;28misinstance\u001b[39m(key, Index):\n\u001b[32m 6216\u001b[39m \u001b[38;5;66;03m# GH 42790 - Preserve name from an Index\u001b[39;00m\n", + "\u001b[36mFile \u001b[39m\u001b[32m/opt/python/lib/python3.13/site-packages/pandas/core/indexes/base.py:6264\u001b[39m, in \u001b[36mIndex._raise_if_missing\u001b[39m\u001b[34m(self, key, indexer, axis_name)\u001b[39m\n\u001b[32m 6261\u001b[39m \u001b[38;5;28;01mraise\u001b[39;00m \u001b[38;5;167;01mKeyError\u001b[39;00m(\u001b[33mf\u001b[39m\u001b[33m\"\u001b[39m\u001b[33mNone of [\u001b[39m\u001b[38;5;132;01m{\u001b[39;00mkey\u001b[38;5;132;01m}\u001b[39;00m\u001b[33m] are in the [\u001b[39m\u001b[38;5;132;01m{\u001b[39;00maxis_name\u001b[38;5;132;01m}\u001b[39;00m\u001b[33m]\u001b[39m\u001b[33m\"\u001b[39m)\n\u001b[32m 6263\u001b[39m not_found = \u001b[38;5;28mlist\u001b[39m(ensure_index(key)[missing_mask.nonzero()[\u001b[32m0\u001b[39m]].unique())\n\u001b[32m-> \u001b[39m\u001b[32m6264\u001b[39m \u001b[38;5;28;01mraise\u001b[39;00m \u001b[38;5;167;01mKeyError\u001b[39;00m(\u001b[33mf\u001b[39m\u001b[33m\"\u001b[39m\u001b[38;5;132;01m{\u001b[39;00mnot_found\u001b[38;5;132;01m}\u001b[39;00m\u001b[33m not in index\u001b[39m\u001b[33m\"\u001b[39m)\n", + "\u001b[31mKeyError\u001b[39m: \"['corrected_aum'] not in index\"" + ] + } + ], + "source": [ + "import pandas as pd\n", + "import numpy as np\n", + "\n", + "# ============================================================\n", + "# Rebuild STOCKS dataset using repaired AUM quantities\n", + "# ============================================================\n", + "\n", + "# 1. Copy original stocks\n", + "stocks_repaired = stocks.copy()\n", + "stocks_repaired[\"Centralisation Date\"] = pd.to_datetime(\n", + " stocks_repaired[\"Centralisation Date\"]\n", + ")\n", + "\n", + "# 2. Build repair map\n", + "repair_map = (\n", + " df[[\n", + " \"Registrar Account - ID\",\n", + " \"Product - Isin\",\n", + " \"Centralisation Date\",\n", + " \"corrected_aum\",\n", + " \"repair_flag\"\n", + " ]]\n", + " .rename(columns={\"corrected_aum\": \"Quantity - AUM repaired\"})\n", + ")\n", + "\n", + "# 3. Merge repaired quantities\n", + "stocks_repaired = stocks_repaired.merge(\n", + " repair_map,\n", + " on=[\"Registrar Account - ID\", \"Product - Isin\", \"Centralisation Date\"],\n", + " how=\"left\"\n", + ")\n", + "\n", + "# 4. Store original quantity\n", + "stocks_repaired[\"Quantity - AUM original\"] = stocks_repaired[\"Quantity - AUM\"]\n", + "\n", + "# 5. Replace Quantity - AUM where repaired\n", + "stocks_repaired[\"Quantity - AUM\"] = np.where(\n", + " stocks_repaired[\"repair_flag\"] == True,\n", + " stocks_repaired[\"Quantity - AUM repaired\"],\n", + " stocks_repaired[\"Quantity - AUM\"]\n", + ")\n", + "\n", + "# 6. Recompute monetary values (unit value unchanged)\n", + "stocks_repaired[\"nav_ccy\"] = (\n", + " stocks_repaired[\"Value - AUM CCY\"] /\n", + " stocks_repaired[\"Quantity - AUM original\"]\n", + ")\n", + "\n", + "stocks_repaired[\"nav_eur\"] = (\n", + " stocks_repaired[\"Value - AUM €\"] /\n", + " stocks_repaired[\"Quantity - AUM original\"]\n", + ")\n", + "\n", + "stocks_repaired[\"Value - AUM CCY\"] = (\n", + " stocks_repaired[\"Quantity - AUM\"] *\n", + " stocks_repaired[\"nav_ccy\"]\n", + ")\n", + "\n", + "stocks_repaired[\"Value - AUM €\"] = (\n", + " stocks_repaired[\"Quantity - AUM\"] *\n", + " stocks_repaired[\"nav_eur\"]\n", + ")\n", + "\n", + "# 7. Cleanup helper columns\n", + "stocks_repaired = stocks_repaired.drop(\n", + " columns=[\n", + " \"Quantity - AUM repaired\",\n", + " \"Quantity - AUM original\",\n", + " \"nav_ccy\",\n", + " \"nav_eur\"\n", + " ]\n", + ")\n", + "\n", + "# ============================================================\n", + "# Sanity checks (CORRECT WAY)\n", + "# ============================================================\n", + "\n", + "# Share of observations repaired\n", + "repair_share = stocks_repaired[\"repair_flag\"].mean()\n", + "\n", + "# Ensure only repaired points were modified\n", + "n_modified = stocks_repaired[\"repair_flag\"].sum()\n", + "\n", + "print(f\"Share of repaired observations: {repair_share:.4%}\")\n", + "print(f\"Number of repaired rows: {n_modified:,}\")\n", + "\n", + "stocks_repaired.to_csv('AUM_repaired.csv')" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "5f262605-49e8-4304-b11e-38c8bcfc6e3f", + "metadata": {}, + "outputs": [], + "source": [ + "print(stocks[\"Registrar Account - ID\"].nunique())\n", + "print(df[\"Registrar Account - ID\"].nunique())" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "37e9b599-aa51-4e03-b23c-2dd24e77fe38", + "metadata": {}, + "outputs": [], + "source": [ + "import pandas as pd\n", + "\n", + "df = pd.read_csv(\"AUM_repaired.csv\")\n", + "\n", + "print(df.columns)" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "id": "5cfb4526-7435-4e4a-ae48-0a8d40e39d81", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/tmp/ipykernel_1311/55327206.py:8: DtypeWarning:\n", + "\n", + "Columns (1,2,3,4) have mixed types. Specify dtype option on import or set low_memory=False.\n", + "\n", + "/tmp/ipykernel_1311/55327206.py:9: DtypeWarning:\n", + "\n", + "Columns (2,3,4,5) have mixed types. Specify dtype option on import or set low_memory=False.\n", + "\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Merged dataset size: (9033269, 6)\n", + "\n", + "NUMBER OF MODIFIED OBSERVATIONS: 2263602\n", + "Share modified: 25.06 %\n", + "\n", + "NEGATIVE AUM\n", + "Before repair: 34374\n", + "After repair : 36320\n", + "\n", + "RAW AUM DISTRIBUTION\n", + "count 9.033269e+06\n", + "mean 9.106935e+03\n", + "std 1.915018e+05\n", + "min -9.918641e+06\n", + "25% 0.000000e+00\n", + "50% 0.000000e+00\n", + "75% 3.091340e+02\n", + "max 4.256300e+07\n", + "Name: Quantity - AUM_raw, dtype: float64\n", + "\n", + "REPAIRED AUM DISTRIBUTION\n", + "count 9.033269e+06\n", + "mean 9.104329e+03\n", + "std 1.914988e+05\n", + "min -9.918641e+06\n", + "25% 0.000000e+00\n", + "50% 0.000000e+00\n", + "75% 3.088430e+02\n", + "max 4.256300e+07\n", + "Name: Quantity - AUM_repaired, dtype: float64\n", + "\n", + "TOTAL AUM\n", + "Raw total : 82265397351.45718\n", + "Repaired total : 82241848877.5126\n", + "\n", + "TOP 20 AUM CHANGES\n", + " Registrar Account - ID Product - Isin Centralisation Date \\\n", + "8532368 OFF DISTRIBUTION LU0992627611 2021-12-31 \n", + "8532369 OFF DISTRIBUTION LU0992627611 2021-12-31 \n", + "8532370 OFF DISTRIBUTION LU0992627611 2021-12-31 \n", + "8477988 OFF DISTRIBUTION LU0992627611 2021-12-31 \n", + "8477987 OFF DISTRIBUTION LU0992627611 2021-12-31 \n", + "8477986 OFF DISTRIBUTION LU0992627611 2021-12-31 \n", + "8477989 OFF DISTRIBUTION LU0992627611 2021-12-31 \n", + "8532371 OFF DISTRIBUTION LU0992627611 2021-12-31 \n", + "8477994 OFF DISTRIBUTION LU0992627611 2021-12-31 \n", + "8477996 OFF DISTRIBUTION LU0992627611 2021-12-31 \n", + "8477997 OFF DISTRIBUTION LU0992627611 2021-12-31 \n", + "8928641 OFF DISTRIBUTION LU0992627611 2021-12-31 \n", + "8928642 OFF DISTRIBUTION LU0992627611 2021-12-31 \n", + "8928643 OFF DISTRIBUTION LU0992627611 2021-12-31 \n", + "8928644 OFF DISTRIBUTION LU0992627611 2021-12-31 \n", + "8477995 OFF DISTRIBUTION LU0992627611 2021-12-31 \n", + "8532359 OFF DISTRIBUTION LU0992627611 2021-11-30 \n", + "8713983 OFF DISTRIBUTION LU0992627611 2021-11-30 \n", + "8713984 OFF DISTRIBUTION LU0992627611 2021-11-30 \n", + "8532357 OFF DISTRIBUTION LU0992627611 2021-11-30 \n", + "\n", + " Quantity - AUM_raw Quantity - AUM_repaired aum_diff \n", + "8532368 41251.971 5298781.613 5257529.642 \n", + "8532369 41251.971 5298781.613 5257529.642 \n", + "8532370 41251.971 5298781.613 5257529.642 \n", + "8477988 5298781.613 41251.971 -5257529.642 \n", + "8477987 5298781.613 41251.971 -5257529.642 \n", + "8477986 5298781.613 41251.971 -5257529.642 \n", + "8477989 5298781.613 41251.971 -5257529.642 \n", + "8532371 41251.971 5298781.613 5257529.642 \n", + "8477994 5298781.613 128141.894 -5170639.719 \n", + "8477996 5298781.613 128141.894 -5170639.719 \n", + "8477997 5298781.613 128141.894 -5170639.719 \n", + "8928641 128141.894 5298781.613 5170639.719 \n", + "8928642 128141.894 5298781.613 5170639.719 \n", + "8928643 128141.894 5298781.613 5170639.719 \n", + "8928644 128141.894 5298781.613 5170639.719 \n", + "8477995 5298781.613 128141.894 -5170639.719 \n", + "8532359 41251.971 5059704.980 5018453.009 \n", + "8713983 5059704.980 41251.971 -5018453.009 \n", + "8713984 5059704.980 41251.971 -5018453.009 \n", + "8532357 41251.971 5059704.980 5018453.009 \n", + "\n", + "ISIN WITH MOST MODIFICATIONS\n", + "Product - Isin\n", + "LU1623762769 0.535539\n", + "LU2490324410 0.525588\n", + "FR0013516044 0.524862\n", + "LU2931971050 0.500000\n", + "LU2931971217 0.500000\n", + "FR001400TVB3 0.500000\n", + "FR001400TU23 0.500000\n", + "FR00140139F6 0.500000\n", + "FR001400TVD9 0.500000\n", + "LU2931971134 0.500000\n", + "Name: aum_diff, dtype: float64\n", + "\n", + "REPAIR FLAG ERRORS: 2260454\n", + "\n", + "==============================\n", + "COMPARISON COMPLETED\n", + "==============================\n" + ] + } + ], + "source": [ + "import pandas as pd\n", + "import numpy as np\n", + "\n", + "# ============================================================\n", + "# LOAD DATA\n", + "# ============================================================\n", + "\n", + "aum_raw = pd.read_csv(\"stocks.csv\") # fichier original\n", + "aum_rep = pd.read_csv(\"AUM_repaired.csv\") # fichier réparé\n", + "\n", + "aum_raw[\"Centralisation Date\"] = pd.to_datetime(aum_raw[\"Centralisation Date\"])\n", + "aum_rep[\"Centralisation Date\"] = pd.to_datetime(aum_rep[\"Centralisation Date\"])\n", + "\n", + "\n", + "# ============================================================\n", + "# KEEP SAME KEYS\n", + "# ============================================================\n", + "\n", + "keys = [\n", + " \"Registrar Account - ID\",\n", + " \"Product - Isin\",\n", + " \"Centralisation Date\"\n", + "]\n", + "\n", + "aum_raw = aum_raw[keys + [\"Quantity - AUM\"]]\n", + "aum_rep = aum_rep[keys + [\"Quantity - AUM\", \"repair_flag\"]]\n", + "\n", + "\n", + "# ============================================================\n", + "# MERGE DATASETS\n", + "# ============================================================\n", + "\n", + "df = aum_raw.merge(\n", + " aum_rep,\n", + " on=keys,\n", + " how=\"inner\",\n", + " suffixes=(\"_raw\", \"_repaired\")\n", + ")\n", + "\n", + "print(\"Merged dataset size:\", df.shape)\n", + "\n", + "\n", + "# ============================================================\n", + "# 1. HOW MANY VALUES CHANGED\n", + "# ============================================================\n", + "\n", + "df[\"aum_diff\"] = df[\"Quantity - AUM_repaired\"] - df[\"Quantity - AUM_raw\"]\n", + "\n", + "n_changed = (df[\"aum_diff\"] != 0).sum()\n", + "\n", + "print(\"\\nNUMBER OF MODIFIED OBSERVATIONS:\", n_changed)\n", + "print(\"Share modified:\", round(n_changed / len(df) * 100, 2), \"%\")\n", + "\n", + "\n", + "# ============================================================\n", + "# 2. NEGATIVE AUM BEFORE / AFTER\n", + "# ============================================================\n", + "\n", + "neg_before = (df[\"Quantity - AUM_raw\"] < 0).sum()\n", + "neg_after = (df[\"Quantity - AUM_repaired\"] < 0).sum()\n", + "\n", + "print(\"\\nNEGATIVE AUM\")\n", + "print(\"Before repair:\", neg_before)\n", + "print(\"After repair :\", neg_after)\n", + "\n", + "\n", + "# ============================================================\n", + "# 3. DISTRIBUTION COMPARISON\n", + "# ============================================================\n", + "\n", + "print(\"\\nRAW AUM DISTRIBUTION\")\n", + "print(df[\"Quantity - AUM_raw\"].describe())\n", + "\n", + "print(\"\\nREPAIRED AUM DISTRIBUTION\")\n", + "print(df[\"Quantity - AUM_repaired\"].describe())\n", + "\n", + "\n", + "# ============================================================\n", + "# 4. TOTAL AUM COMPARISON\n", + "# ============================================================\n", + "\n", + "print(\"\\nTOTAL AUM\")\n", + "\n", + "print(\"Raw total :\", df[\"Quantity - AUM_raw\"].sum())\n", + "print(\"Repaired total :\", df[\"Quantity - AUM_repaired\"].sum())\n", + "\n", + "\n", + "# ============================================================\n", + "# 5. LARGEST MODIFICATIONS\n", + "# ============================================================\n", + "\n", + "largest_changes = df.sort_values(\n", + " \"aum_diff\",\n", + " key=lambda x: x.abs(),\n", + " ascending=False\n", + ").head(20)\n", + "\n", + "print(\"\\nTOP 20 AUM CHANGES\")\n", + "\n", + "print(\n", + " largest_changes[\n", + " [\n", + " \"Registrar Account - ID\",\n", + " \"Product - Isin\",\n", + " \"Centralisation Date\",\n", + " \"Quantity - AUM_raw\",\n", + " \"Quantity - AUM_repaired\",\n", + " \"aum_diff\"\n", + " ]\n", + " ]\n", + ")\n", + "\n", + "\n", + "# ============================================================\n", + "# 6. WHICH ISIN WERE MOST MODIFIED\n", + "# ============================================================\n", + "\n", + "isin_changes = (\n", + " df.groupby(\"Product - Isin\")[\"aum_diff\"]\n", + " .apply(lambda x: (x != 0).mean())\n", + " .sort_values(ascending=False)\n", + " .head(10)\n", + ")\n", + "\n", + "print(\"\\nISIN WITH MOST MODIFICATIONS\")\n", + "print(isin_changes)\n", + "\n", + "\n", + "# ============================================================\n", + "# 7. CHECK REPAIR FLAG CONSISTENCY\n", + "# ============================================================\n", + "\n", + "if \"repair_flag\" in df.columns:\n", + "\n", + " repair_flag_errors = (\n", + " (df[\"repair_flag\"] == False) &\n", + " (df[\"Quantity - AUM_raw\"] != df[\"Quantity - AUM_repaired\"])\n", + " ).sum()\n", + "\n", + " print(\"\\nREPAIR FLAG ERRORS:\", repair_flag_errors)\n", + "\n", + "\n", + "print(\"\\n==============================\")\n", + "print(\"COMPARISON COMPLETED\")\n", + "print(\"==============================\")" + ] + }, + { + "cell_type": "code", + "execution_count": 48, + "id": "976dd82c-5c16-44e6-aa5d-65d085714b25", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/tmp/ipykernel_1311/1498669893.py:8: DtypeWarning:\n", + "\n", + "Columns (2,3,4,5) have mixed types. Specify dtype option on import or set low_memory=False.\n", + "\n" + ] + } + ], + "source": [ + "import pandas as pd\n", + "import numpy as np\n", + "import plotly.graph_objects as go\n", + "\n", + "# ============================================================\n", + "# 1. 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" + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# ============================================================\n", + "# 2. PREPARE FLOWS\n", + "# ============================================================\n", + "\n", + "flows_clean = (\n", + " flows\n", + " .groupby(\n", + " [\"Registrar Account - ID\",\"Product - Isin\",\"Centralisation Date\"],\n", + " as_index=False\n", + " )[\"Quantity - NetFlows\"]\n", + " .sum()\n", + ")\n", + "\n", + "# ============================================================\n", + "# 3. MERGE\n", + "# ============================================================\n", + "\n", + "df = aum.merge(\n", + " flows_clean,\n", + " on=[\"Registrar Account - ID\",\"Product - Isin\",\"Centralisation Date\"],\n", + " how=\"left\"\n", + ")\n", + "\n", + "df[\"Quantity - NetFlows\"] = df[\"Quantity - NetFlows\"].fillna(0)\n", + "\n", + "# ============================================================\n", + "# 4. SORT\n", + "# ============================================================\n", + "\n", + "df = df.sort_values(\n", + " [\"Registrar Account - ID\",\"Product - Isin\",\"Centralisation Date\"]\n", + ")\n", + "\n", + "# ============================================================\n", + "# REBUILD ACCOUNTING IDENTITY WITH REPAIRED AUM\n", + "# ============================================================\n", + "\n", + "df[\"prev_aum\"] = df.groupby(\n", + " [\"Registrar Account - ID\",\"Product - Isin\"]\n", + ")[\"Quantity - AUM\"].shift(1)\n", + "\n", + "df[\"prev_flow\"] = df.groupby(\n", + " [\"Registrar Account - ID\",\"Product - Isin\"]\n", + ")[\"Quantity - NetFlows\"].shift(1).fillna(0)\n", + "\n", + "df[\"expected_aum\"] = df[\"prev_aum\"] + df[\"prev_flow\"]\n", + "\n", + "# ============================================================\n", + "# COMPUTE GAP\n", + "# ============================================================\n", + "\n", + "df[\"gap\"] = df[\"Quantity - AUM\"] - df[\"expected_aum\"]\n", + "df[\"gap_abs\"] = df[\"gap\"].abs()\n", + "\n", + "EPS = 10\n", + "\n", + "df[\"rupture_flag\"] = (\n", + " df[\"prev_aum\"].notna()\n", + " & (df[\"gap_abs\"] > EPS)\n", + ")\n", + "# ============================================================\n", + "# 6. COMPUTE GAP\n", + "# ============================================================\n", + "\n", + "df[\"gap\"] = df[\"Quantity - AUM\"] - df[\"expected_aum\"]\n", + "df[\"gap_abs\"] = df[\"gap\"].abs()\n", + "\n", + "EPS = 10\n", + "\n", + "df[\"rupture_flag\"] = (\n", + " df[\"prev_aum\"].notna()\n", + " & (df[\"gap_abs\"] > EPS)\n", + ")\n", + "\n", + "# ============================================================\n", + "# 7. BUILD RUPTURE SUMMARY\n", + "# ============================================================\n", + "\n", + "rupture_summary = (\n", + " df.groupby([\"Registrar Account - ID\",\"Product - Isin\"])\n", + " .agg(\n", + " n_ruptures=(\"rupture_flag\",\"sum\"),\n", + " total_obs=(\"rupture_flag\",\"count\"),\n", + " rupture_ratio=(\"rupture_flag\",\"mean\")\n", + " )\n", + " .reset_index()\n", + ")\n", + "\n", + "# ============================================================\n", + "# 8. SAME CLASSIFICATION AS YOUR CODE\n", + "# ============================================================\n", + "\n", + "rs = rupture_summary.copy()\n", + "\n", + "bins = [0, 0.01, 0.10, 0.30, 1.01]\n", + "\n", + "labels = [\n", + " \"Clean / quasi-clean (≤1%)\",\n", + " \"Moderate (1–10%)\",\n", + " \"High (10–30%)\",\n", + " \"Severe (>30%)\"\n", + "]\n", + "\n", + "rs[\"rupture_class\"] = pd.cut(\n", + " rs[\"rupture_ratio\"],\n", + " bins=bins,\n", + " labels=labels,\n", + " include_lowest=True\n", + ")\n", + "\n", + "# ============================================================\n", + "# 9. DISTRIBUTION\n", + "# ============================================================\n", + "\n", + "dist = (\n", + " rs[\"rupture_class\"]\n", + " .value_counts(normalize=True)\n", + " .sort_index()\n", + " * 100\n", + ").round(1)\n", + "\n", + "# ============================================================\n", + "# 10. DONUT CHART\n", + "# ============================================================\n", + "\n", + "fig = go.Figure(\n", + " data=[go.Pie(\n", + " labels=dist.index,\n", + " values=dist.values,\n", + " hole=0.45,\n", + " textinfo=\"percent\",\n", + " hoverinfo=\"label+percent\"\n", + " )]\n", + ")\n", + "\n", + "fig.update_layout(\n", + " title=\"Rupture intensity distribution (AUM repaired)\",\n", + " legend=dict(\n", + " orientation=\"h\",\n", + " yanchor=\"top\",\n", + " y=-0.15,\n", + " xanchor=\"center\",\n", + " x=0.5\n", + " ),\n", + " legend_title_text=\"Rupture ratio\"\n", + ")\n", + "\n", + "fig.show()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "990898ea-ceca-46bb-bfb3-c87bf289d272", + "metadata": {}, + "outputs": [], + "source": [ + "import seaborn as sns\n", + "import matplotlib.pyplot as plt\n", + "\n", + "df = merged_isin.copy()\n", + "\n", + "# Ajouter année / mois\n", + "df[\"year\"] = df[\"Centralisation Date\"].dt.year\n", + "df[\"month\"] = df[\"Centralisation Date\"].dt.month\n", + "\n", + "# 1. Nombre total de lignes par mois\n", + "total = df.groupby([\"year\", \"month\"]).size().reset_index(name=\"total_lines\")\n", + "\n", + "# 2. Nombre de ruptures par mois\n", + "ruptures = df[df[\"rupture_flag\"]].groupby([\"year\", \"month\"]).size().reset_index(name=\"n_ruptures\")\n", + "\n", + "# 3. Merge pour obtenir total + ruptures\n", + "ratio = total.merge(ruptures, on=[\"year\",\"month\"], how=\"left\")\n", + "ratio[\"n_ruptures\"] = ratio[\"n_ruptures\"].fillna(0)\n", + "\n", + "# 4. Proportion (en %)\n", + "ratio[\"rupture_ratio\"] = ratio[\"n_ruptures\"] / ratio[\"total_lines\"]\n", + "\n", + "# 5. Pivot pour heatmap\n", + "heatmap_ratio = ratio.pivot(index=\"year\", columns=\"month\", values=\"rupture_ratio\").fillna(0)\n", + "\n", + "# 6. Plot\n", + "plt.figure(figsize=(14, 7))\n", + "sns.heatmap(\n", + " heatmap_ratio, \n", + " cmap=\"Reds\",\n", + " linewidths=.3,\n", + " linecolor=\"grey\",\n", + " annot=True,\n", + " fmt=\".2%\",\n", + " cbar_kws={'label': 'Proportion de ruptures'}\n", + ")\n", + "\n", + "plt.title(\"Heatmap de la proportion de ruptures (par année et mois)\", fontsize=16)\n", + "plt.xlabel(\"Mois\")\n", + "plt.ylabel(\"Année\")\n", + "plt.show()\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "4d335589-c519-458d-857d-a051813b950b", + "metadata": {}, + "outputs": [], + "source": [ + "df = merged_isin.copy()\n", + "\n", + "# Ajouter year / month au cas où\n", + "df[\"year\"] = df[\"Centralisation Date\"].dt.year\n", + "df[\"month\"] = df[\"Centralisation Date\"].dt.month\n", + "\n", + "# Merge géographique\n", + "df = df.merge(\n", + " geo[[\"Registrar Account - ID\", \"country\"]],\n", + " on=\"Registrar Account - ID\",\n", + " how=\"left\"\n", + ")\n", + "\n", + "df[\"country\"] = df[\"country\"].fillna(\"UNKNOWN\")\n", + "\n", + "# Total des lignes par pays\n", + "total_country = df.groupby(\"country\").size().reset_index(name=\"total_obs\")\n", + "\n", + "# Nombre de ruptures\n", + "rupt_country = (\n", + " df[df[\"rupture_flag\"]]\n", + " .groupby(\"country\")\n", + " .size()\n", + " .reset_index(name=\"ruptures\")\n", + ")\n", + "\n", + "# Merge + ratios\n", + "country_stats = total_country.merge(rupt_country, on=\"country\", how=\"left\")\n", + "country_stats[\"ruptures\"] = country_stats[\"ruptures\"].fillna(0)\n", + "country_stats[\"rupture_ratio\"] = country_stats[\"ruptures\"] / country_stats[\"total_obs\"]\n", + "\n", + "# Tri (rupture ratio décroissant)\n", + "country_stats = country_stats.sort_values(\"rupture_ratio\", ascending=False)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "8a45a111-25da-4f5c-9723-c3efd25c906d", + "metadata": {}, + "outputs": [], + "source": [ + "# On ajoute une colonne en % pour l’affichage\n", + "import plotly.express as px\n", + "\n", + "country_stats_plot = country_stats.copy()\n", + "country_stats_plot[\"rupture_pct\"] = country_stats_plot[\"rupture_ratio\"] * 100\n", + "\n", + "# Tri décroissant par proportion de ruptures\n", + "country_stats_plot = country_stats_plot.sort_values(\"rupture_ratio\", ascending=False)\n", + "\n", + "fig = px.bar(\n", + " country_stats_plot,\n", + " x=\"country\",\n", + " y=\"rupture_ratio\",\n", + " hover_data={\n", + " \"rupture_pct\": ':.2f',\n", + " \"ruptures\": True,\n", + " \"total_obs\": True,\n", + " \"rupture_ratio\": False, # on cache la version décimale\n", + " },\n", + " labels={\n", + " \"country\": \"Pays\",\n", + " \"rupture_ratio\": \"Proportion de ruptures\",\n", + " \"rupture_pct\": \"% de ruptures\",\n", + " \"ruptures\": \"Nb de ruptures\",\n", + " \"total_obs\": \"Nb d'observations\"\n", + " },\n", + " title=\"Proportion de ruptures par pays (avec volumes au survol)\"\n", + ")\n", + "\n", + "# Format en %\n", + "fig.update_yaxes(tickformat=\".1%\")\n", + "\n", + "fig.update_layout(\n", + " xaxis_tickangle=-45,\n", + " bargap=0.2\n", + ")\n", + "\n", + "fig.show()\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "a4af9841-6cf9-4d27-8096-ac878e866bc6", + "metadata": {}, + "outputs": [], + "source": [ + "rs = rupture_summary.copy()\n", + "\n", + "# 1. Stats numériques classiques\n", + "print(\"\\n=== BASIC NUMERIC STATS ===\")\n", + "print(rs[\"rupture_ratio\"].describe(percentiles=[0.01, 0.05, 0.10, 0.25, 0.5, 0.75, 0.90, 0.95, 0.99]))\n", + "\n", + "\n", + "# 2. Distribution par classes (bins)\n", + "\n", + "rs[\"rupture_bucket\"] = pd.cut(\n", + " rs[\"rupture_ratio\"],\n", + " bins=[0, 0.001, 0.01, 0.05, 0.10, 0.25, 0.50, 1.01],\n", + " labels=[\n", + " \"0–0.1%\",\n", + " \"0.1–1%\",\n", + " \"1–5%\",\n", + " \"5–10%\",\n", + " \"10–25%\",\n", + " \"25–50%\",\n", + " \"50–100%\"\n", + " ],\n", + " include_lowest=True\n", + ")\n", + "\n", + "# Ajouter la catégorie \"0%\"\n", + "rs[\"rupture_bucket\"] = rs[\"rupture_bucket\"].cat.add_categories(\"0%\")\n", + "\n", + "# Remplacer les 0% exacts\n", + "rs.loc[rs[\"rupture_ratio\"] == 0, \"rupture_bucket\"] = \"0%\"\n", + "\n", + "bucket_counts = rs[\"rupture_bucket\"].value_counts().sort_index()\n", + "print(bucket_counts)\n", + "\n", + "\n", + "# 3. Pourcentages\n", + "bucket_percent = (bucket_counts / len(rs) * 100).round(2)\n", + "\n", + "print(\"\\n=== DISTRIBUTION (PERCENT) ===\")\n", + "print(bucket_percent)\n", + "\n", + "\n", + "# 4. Nombre de comptes totalement propres\n", + "no_rupture = (rs[\"n_ruptures\"] == 0).sum()\n", + "print(f\"\\nComptes avec 0 rupture = {no_rupture} ({no_rupture/len(rs)*100:.2f}%)\")\n", + "\n", + "# 5. Comptes extrêmement problématiques\n", + "severe = (rs[\"rupture_ratio\"] > 0.75).sum()\n", + "print(f\"Comptes avec rupture_ratio > 75% = {severe} ({severe/len(rs)*100:.2f}%)\")\n", + "\n", + "medium = (rs[\"rupture_ratio\"] > 0.10).sum()\n", + "print(f\"Comptes avec rupture_ratio > 10% = {medium} ({medium/len(rs)*100:.2f}%)\")\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "f39a9a5a-5f4e-4cac-9f63-e6952582b6ff", + "metadata": {}, + "outputs": [], + "source": [ + "import plotly.express as px\n", + "\n", + "fig = px.histogram(\n", + " rs,\n", + " x=\"rupture_ratio\",\n", + " nbins=50,\n", + " title=\"Distribution du rupture_ratio\",\n", + " labels={\"rupture_ratio\": \"Rupture Ratio\"},\n", + ")\n", + "fig.update_layout(bargap=0.05)\n", + "fig.show()\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "70132995-8379-44b6-8ff6-f09524c4e4d0", + "metadata": {}, + "outputs": [], + "source": [ + "# --- 1. Filtres de base ---\n", + "merged[\"year\"] = merged[\"Centralisation Date\"].dt.year\n", + "\n", + "# Filtrer uniquement l'année 2021\n", + "ruptures_2021 = merged[(merged[\"year\"] == 2021) & (merged[\"rupture_flag\"] == True)].copy()\n", + "\n", + "print(\"Nombre total de ruptures en 2021 :\", len(ruptures_2021))\n", + "\n", + "# --- 2. Classification du type de gap ---\n", + "ruptures_2021[\"gap_type\"] = np.where(ruptures_2021[\"gap\"] > 0, \"positive\", \"negative\")\n", + "\n", + "# --- 3. Statistiques globales ---\n", + "gap_counts = ruptures_2021[\"gap_type\"].value_counts()\n", + "gap_percent = ruptures_2021[\"gap_type\"].value_counts(normalize=True) * 100\n", + "\n", + "print(\"\\n=== RUPTURES 2021 — POSITIVES vs NEGATIVES ===\")\n", + "print(gap_counts)\n", + "print(\"\\n(%)\")\n", + "print(gap_percent.map(lambda x: f\"{x:.2f}%\"))\n", + "\n", + "# --- 4. Intensité des écarts ---\n", + "intensity_stats = ruptures_2021.groupby(\"gap_type\")[\"gap\"].describe()\n", + "print(\"\\n=== STATISTIQUES DES GAPS ===\")\n", + "print(intensity_stats)\n", + "\n", + "# --- 5. Visualisation rapide ---\n", + "import seaborn as sns\n", + "import matplotlib.pyplot as plt\n", + "\n", + "plt.figure(figsize=(10,5))\n", + "sns.histplot(data=ruptures_2021, x=\"gap\", hue=\"gap_type\", bins=80, kde=True)\n", + "plt.xlim(-merged[\"gap\"].abs().max(), merged[\"gap\"].abs().max())\n", + "plt.title(\"Distribution des gaps de rupture en 2021\")\n", + "plt.xlabel(\"Gap (AUM_{t} − Expected AUM_{t})\")\n", + "plt.show()\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "1faf943a-4703-4b19-a867-2670ac3a5209", + "metadata": {}, + "outputs": [], + "source": [ + "# --- 1. ADD YEAR ---\n", + "merged[\"year\"] = merged[\"Centralisation Date\"].dt.year\n", + "\n", + "# --- 2. DEFINE PERIODS ---\n", + "conditions = [\n", + " merged[\"year\"] < 2021,\n", + " merged[\"year\"] == 2021,\n", + " merged[\"year\"] > 2021\n", + "]\n", + "\n", + "period_labels = [\"before_2021\", \"during_2021\", \"after_2021\"]\n", + "\n", + "merged[\"period\"] = np.select(\n", + " conditions,\n", + " period_labels,\n", + " default=\"unknown\"\n", + ")\n", + "\n", + "# --- 3. CREATE GAP TYPE & FILTER ONLY RUPTURES ---\n", + "merged[\"gap_type\"] = np.where(\n", + " merged[\"gap\"] > 0, \"positive\",\n", + " np.where(merged[\"gap\"] < 0, \"negative\", \"zero\")\n", + ")\n", + "\n", + "ruptures = merged[merged[\"rupture_flag\"] == True].copy()\n", + "\n", + "# --- 4. TOTAL OBS PER PERIOD ---\n", + "total_obs = merged.groupby(\"period\").size().rename(\"total_obs\")\n", + "\n", + "# --- 5. TOTAL RUPTURES PER PERIOD ---\n", + "rupture_counts = ruptures.groupby(\"period\").size().rename(\"rupture_count\")\n", + "\n", + "# --- 6. PROPORTION OF RUPTURES ---\n", + "rupture_ratio = (rupture_counts / total_obs).rename(\"rupture_ratio\")\n", + "\n", + "# --- 7. POSITIVE / NEGATIVE GAPS (% among ruptures) ---\n", + "gap_dist = (\n", + " ruptures.groupby([\"period\", \"gap_type\"])\n", + " .size()\n", + " .groupby(level=0)\n", + " .apply(lambda x: (x / x.sum()) * 100) # % par période\n", + ")\n", + "\n", + "\n", + "# --- 8. MERGE AND DISPLAY ---\n", + "summary = pd.concat([total_obs, rupture_counts, rupture_ratio], axis=1)\n", + "summary[\"rupture_ratio\"] = (summary[\"rupture_ratio\"] * 100).round(2)\n", + "\n", + "print(\"\\n=== RUPTURE SUMMARY (in %) ===\")\n", + "print(summary)\n", + "\n", + "print(\"\\n=== GAP POSITIVE / NEGATIVE DISTRIBUTION (in %) ===\")\n", + "print(gap_dist)\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "5abee764-b890-4ea1-8f98-5a0ff1512611", + "metadata": {}, + "outputs": [], + "source": [ + "from plotly.subplots import make_subplots\n", + "import plotly.graph_objects as go\n", + "\n", + "# --- 1. DEFINE PERIODS ---\n", + "merged[\"period2\"] = np.where(\n", + " merged[\"Centralisation Date\"] < pd.Timestamp(\"2021-09-01\"),\n", + " \"Before Sep 2021\",\n", + " \"After Sep 2021\"\n", + ")\n", + "\n", + "ruptures = merged[merged[\"rupture_flag\"] == True].copy()\n", + "\n", + "# --- 2. Ensure gap_type exists + no missing categories ---\n", + "ruptures[\"gap_type\"] = ruptures[\"gap_type\"].replace({\"zero\": \"positive\"}) # zero is equivalent to no-flow change\n", + "\n", + "# --- 3. Compute gap counts ---\n", + "gap_counts = (\n", + " ruptures.groupby([\"period2\", \"gap_type\"])\n", + " .size()\n", + " .unstack(fill_value=0)\n", + ")\n", + "\n", + "# Ensure both columns exist\n", + "for col in [\"positive\", \"negative\"]:\n", + " if col not in gap_counts.columns:\n", + " gap_counts[col] = 0\n", + "\n", + "gap_counts = gap_counts[[\"positive\", \"negative\"]]\n", + "\n", + "# --- 4. Extract values ---\n", + "before_vals = gap_counts.loc[\"Before Sep 2021\"].values\n", + "after_vals = gap_counts.loc[\"After Sep 2021\"].values\n", + "\n", + "# --- 5. MAKE TWO DONUT CHARTS ---\n", + "fig = make_subplots(\n", + " rows=1, cols=2,\n", + " specs=[[{\"type\": \"pie\"}, {\"type\": \"pie\"}]],\n", + " subplot_titles=(\"Before Sep 2021\", \"After Sep 2021\")\n", + ")\n", + "\n", + "fig.add_trace(\n", + " go.Pie(\n", + " labels=[\"Negative gaps\", \"Positive gaps\"],\n", + " values=before_vals,\n", + " marker_colors=[\"#E67E22\", \"#3498DB\"],\n", + " hole=0.45,\n", + " textinfo=\"label+percent\"\n", + " ),\n", + " row=1, col=1\n", + ")\n", + "\n", + "fig.add_trace(\n", + " go.Pie(\n", + " labels=[\"Negative gaps\", \"Positive gaps\"],\n", + " values=after_vals,\n", + " marker_colors=[\"#E67E22\", \"#3498DB\"],\n", + " hole=0.45,\n", + " textinfo=\"label+percent\"\n", + " ),\n", + " row=1, col=2\n", + ")\n", + "\n", + "fig.update_layout(\n", + " title=\"Nature des ruptures (positive / negative)\\nAvant vs Après Septembre 2021\",\n", + " showlegend=True\n", + ")\n", + "\n", + "fig.show()\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "3aa3b8a0-f499-495a-9171-2e09d0bb1e5f", + "metadata": {}, + "outputs": [], + "source": [ + "import plotly.graph_objects as go\n", + "\n", + "# --- 1. Compute gap counts by period ---\n", + "gap_counts = (\n", + " ruptures.groupby([\"period2\", \"gap_type\"])\n", + " .size()\n", + " .unstack(fill_value=0)\n", + ")\n", + "\n", + "# Ensure both columns exist\n", + "for col in [\"positive\", \"negative\"]:\n", + " if col not in gap_counts.columns:\n", + " gap_counts[col] = 0\n", + "\n", + "gap_counts = gap_counts[[\"positive\", \"negative\"]]\n", + "\n", + "# --- 2. Extract values ---\n", + "before_vals = gap_counts.loc[\"Before Sep 2021\"].values\n", + "after_vals = gap_counts.loc[\"After Sep 2021\"].values\n", + "\n", + "# --- 3. Plot : TWO PIE CHARTS side by side ---\n", + "fig = make_subplots(\n", + " rows=1, cols=2,\n", + " specs=[[{\"type\": \"pie\"}, {\"type\": \"pie\"}]],\n", + " subplot_titles=(\"Before 2021\", \"After 2021\")\n", + ")\n", + "\n", + "fig.add_trace(\n", + " go.Pie(\n", + " labels=[\"Negative gaps\", \"Positive gaps\"],\n", + " values=before_vals,\n", + " marker_colors=[\"#E67E22\", \"#3498DB\"],\n", + " hole=0.35\n", + " ),\n", + " row=1, col=1\n", + ")\n", + "\n", + "fig.add_trace(\n", + " go.Pie(\n", + " labels=[\"Negative gaps\", \"Positive gaps\"],\n", + " values=after_vals,\n", + " marker_colors=[\"#E67E22\", \"#3498DB\"],\n", + " hole=0.35\n", + " ),\n", + " row=1, col=2\n", + ")\n", + "\n", + "fig.update_layout(\n", + " title=\"Répartition des ruptures (positive / negative)\\nAvant vs Après 2021\"\n", + ")\n", + "\n", + "fig.show()\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "d4f0dc74-649d-4105-9a1a-44a18d126a3c", + "metadata": {}, + "outputs": [], + "source": [ + "import plotly.graph_objects as go\n", + "\n", + "# --- 1. Define periods ---\n", + "merged[\"period2\"] = np.where(\n", + " merged[\"Centralisation Date\"] < pd.Timestamp(\"2021-09-01\"),\n", + " \"Before Sep 2021\",\n", + " \"After Sep 2021\"\n", + ")\n", + "\n", + "# --- 2. Keep only ruptures ---\n", + "ruptures = merged[merged[\"rupture_flag\"] == True].copy()\n", + "\n", + "# --- 3. Count ruptures per period ---\n", + "rupture_counts = ruptures[\"period2\"].value_counts().reindex(\n", + " [\"Before Sep 2021\", \"After Sep 2021\"]\n", + ").fillna(0)\n", + "\n", + "# --- 4. Pie chart ---\n", + "fig = go.Figure(data=[\n", + " go.Pie(\n", + " labels=rupture_counts.index,\n", + " values=rupture_counts.values,\n", + " hole=0.45,\n", + " marker_colors=[\"#2ECC71\", \"#E74C3C\"],\n", + " textinfo=\"percent+value\",\n", + " )\n", + "])\n", + "\n", + "fig.update_layout(\n", + " title=\"Répartition des ruptures\"\n", + ")\n", + "\n", + "fig.show()\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "ecccd73c-00a6-4ff3-b213-e85b98ec5a55", + "metadata": {}, + "outputs": [], + "source": [ + "import pandas as pd\n", + "import numpy as np\n", + "\n", + "# 1. Filtre sur la période post-Sept 2021\n", + "cutoff = pd.Timestamp(\"2021-09-01\")\n", + "post = merged[merged[\"Centralisation Date\"] >= cutoff].copy()\n", + "\n", + "# 2. On ne garde que les ruptures\n", + "post_rupt = post[post[\"rupture_flag\"] == True].copy()\n", + "\n", + "# 3. Gap absolu + gap relatif (% du stock)\n", + "post_rupt[\"gap_abs\"] = post_rupt[\"gap\"].abs()\n", + "post_rupt[\"gap_rel\"] = post_rupt[\"gap_abs\"] / post_rupt[\"Quantity - AUM\"].replace(0, np.nan)\n", + "\n", + "# 4. Percentiles globaux\n", + "p90 = post_rupt[\"gap_abs\"].quantile(0.90)\n", + "p95 = post_rupt[\"gap_abs\"].quantile(0.95)\n", + "p99 = post_rupt[\"gap_abs\"].quantile(0.99)\n", + "\n", + "# 5. Classification automatique\n", + "def classify_gap(gap, gap_rel, acct):\n", + " # RESET → énorme choc (technique)\n", + " if gap_abs >= p99 or gap_rel >= 0.90:\n", + " return \"reset\"\n", + "\n", + " # SPIKE → très gros gap mais isolé\n", + " if gap_abs >= p95:\n", + " return \"spike\"\n", + "\n", + " # SHIFT → décalage permanent\n", + " # Test : moyenne des gaps du compte\n", + " return None\n", + "\n", + "# Calcul du shift (décalage directionnel)\n", + "shift_info = post_rupt.groupby(\"Registrar Account - ID\")[\"gap\"].mean().rename(\"avg_gap\")\n", + "\n", + "post_rupt = post_rupt.merge(shift_info, on=\"Registrar Account - ID\", how=\"left\")\n", + "\n", + "post_rupt[\"gap_type2\"] = np.where(\n", + " post_rupt[\"gap_abs\"] >= p99, \"reset\",\n", + " np.where(post_rupt[\"gap_abs\"] >= p95, \"spike\",\n", + " np.where(post_rupt[\"avg_gap\"].abs() > post_rupt[\"gap_abs\"].median(), \"shift\", \"micro\")))\n", + " \n", + "# 6. Statistiques globales\n", + "stats = post_rupt[\"gap_type2\"].value_counts(normalize=True).round(3) * 100\n", + "print(\"\\n=== DISTRIBUTION DES TYPES DE GAPS POST-2021 ===\")\n", + "print(stats)\n", + "\n", + "# 7. Stats par client\n", + "client_stats = (\n", + " post_rupt.groupby(\"Registrar Account - ID\")[\"gap_type2\"]\n", + " .value_counts(normalize=True)\n", + " .rename(\"ratio\")\n", + " .mul(100)\n", + " .reset_index()\n", + ")\n", + "\n", + "# 8. Stats par ISIN\n", + "isin_stats = (\n", + " post_rupt.groupby(\"Product - Isin\")[\"gap_type2\"]\n", + " .value_counts(normalize=True)\n", + " .rename(\"ratio\")\n", + " .mul(100)\n", + " .reset_index()\n", + ")\n", + "\n", + "print(\"\\n=== TOP ISIN PAR RESET ===\")\n", + "print(isin_stats[isin_stats[\"gap_type2\"]==\"reset\"].sort_values(\"ratio\", ascending=False).head(10))\n", + "\n", + "print(\"\\n=== TOP CLIENTS PAR RESET ===\")\n", + "print(client_stats[client_stats[\"gap_type2\"]==\"reset\"].sort_values(\"ratio\", ascending=False).head(10))\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "c2efc5e0-bc35-4fa7-ab5d-6be616964446", + "metadata": {}, + "outputs": [], + "source": [ + "import plotly.graph_objects as go\n", + "\n", + "# --- Data from your output ---\n", + "labels = [\"Micro-ruptures\", \"Décalage\", \"Anomalies ponctuelles\", \"Remise à zéro\"]\n", + "values = [50.4, 44.6, 4.0, 1.0]\n", + "\n", + "# --- Pie chart ---\n", + "fig = go.Figure(\n", + " data=[go.Pie(\n", + " labels=labels,\n", + " values=values,\n", + " hole=0.35, # donut style (plus lisible)\n", + " textinfo='percent',\n", + " marker=dict(colors=[\"#3498DB\", \"#E67E22\", \"#9B59B6\", \"#E74C3C\"])\n", + " )]\n", + ")\n", + "\n", + "fig.update_layout(\n", + " title=\"Typologie des ruptures depuis Septembre 2021\",\n", + " legend_title=\"Type de gap\",\n", + ")\n", + "\n", + "fig.show()\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "744e04b6-3f34-40c9-95fe-a5605e7c7f02", + "metadata": {}, + "outputs": [], + "source": [ + "merged[\"gap_abs\"] = merged[\"gap\"].abs()\n", + "\n", + "merged[\"gap_rel\"] = (\n", + " merged[\"gap_abs\"] /\n", + " merged[\"Quantity - AUM\"].replace(0, np.nan)\n", + ")\n", + "\n", + "merged.loc[merged[\"rupture_flag\"], \"gap_rel\"].describe(\n", + " percentiles=[0.5, 0.75, 0.9, 0.95, 0.99]\n", + ")\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "3d20625e-1045-4b7a-ab64-3381997e4131", + "metadata": {}, + "outputs": [], + "source": [ + "# uniquement sur les ruptures\n", + "df_r = merged[merged[\"rupture_flag\"]].copy()\n", + "\n", + "# seuils globaux (descriptifs, pas \"optimisés\")\n", + "q90 = df_r[\"gap_abs\"].quantile(0.90)\n", + "q99 = df_r[\"gap_abs\"].quantile(0.99)\n", + "\n", + "# moyenne directionnelle par compte\n", + "avg_gap_by_account = (\n", + " df_r.groupby(\"Registrar Account - ID\")[\"gap\"]\n", + " .mean()\n", + " .rename(\"avg_gap\")\n", + ")\n", + "\n", + "df_r = df_r.merge(avg_gap_by_account, on=\"Registrar Account - ID\", how=\"left\")\n", + "\n", + "def classify_gap(row):\n", + " if row[\"gap_abs\"] >= q99:\n", + " return \"reset\"\n", + " if row[\"gap_abs\"] >= q90:\n", + " return \"spike\"\n", + " if abs(row[\"avg_gap\"]) > row[\"gap_abs\"]:\n", + " return \"shift\"\n", + " return \"micro\"\n", + "\n", + "df_r[\"discontinuity_type\"] = df_r.apply(classify_gap, axis=1)\n", + "df_r[\"discontinuity_type\"].value_counts(normalize=True) * 100\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "02806629-e454-4e10-82be-6e2239091088", + "metadata": {}, + "outputs": [], + "source": [ + "merged[\"year\"] = merged[\"Centralisation Date\"].dt.year\n", + "\n", + "yearly_stats = merged.groupby(\"year\").agg(\n", + " total_obs=(\"gap\", \"count\"),\n", + " ruptures=(\"rupture_flag\", \"sum\")\n", + ").reset_index()\n", + "\n", + "yearly_stats[\"rupture_rate\"] = (\n", + " yearly_stats[\"ruptures\"] / yearly_stats[\"total_obs\"]\n", + ")\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "2edf2c55-45e7-4aad-b4f9-5c35178abad6", + "metadata": {}, + "outputs": [], + "source": [ + "import matplotlib.pyplot as plt\n", + "import numpy as np\n", + "\n", + "df_r = merged[merged[\"rupture_flag\"]].copy()\n", + "\n", + "plt.figure(figsize=(12,4))\n", + "plt.hist(df_r[\"gap_abs\"], bins=100, log=True)\n", + "plt.title(\"Distribution of absolute gaps (log scale)\")\n", + "plt.xlabel(\"Absolute gap\")\n", + "plt.ylabel(\"Frequency (log)\")\n", + "plt.show()\n", + "\n", + "plt.figure(figsize=(12,4))\n", + "plt.hist(df_r[\"gap_rel\"].dropna(), bins=100, log=True)\n", + "plt.title(\"Distribution of relative gaps (|gap| / AUM)\")\n", + "plt.xlabel(\"Relative gap\")\n", + "plt.ylabel(\"Frequency (log)\")\n", + "plt.show()\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "981f2ec6-574b-41ea-b4bf-45be54aeda1f", + "metadata": {}, + "outputs": [], + "source": [ + "plt.figure(figsize=(10,4))\n", + "plt.plot(yearly_stats[\"year\"], yearly_stats[\"rupture_rate\"], marker=\"o\")\n", + "plt.title(\"Evolution of AUM–Flow inconsistency rate over time\")\n", + "plt.xlabel(\"Year\")\n", + "plt.ylabel(\"Rupture rate\")\n", + "plt.grid(True)\n", + "plt.show()\n" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + 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"f645c749-321e-46c4-ae5e-0ba2c1967f81", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Requirement already satisfied: networkx in /opt/python/lib/python3.13/site-packages (3.6.1)\n", + "\n", + "\u001b[1m[\u001b[0m\u001b[34;49mnotice\u001b[0m\u001b[1;39;49m]\u001b[0m\u001b[39;49m A new release of pip is available: \u001b[0m\u001b[31;49m25.3\u001b[0m\u001b[39;49m -> \u001b[0m\u001b[32;49m26.0.1\u001b[0m\n", + "\u001b[1m[\u001b[0m\u001b[34;49mnotice\u001b[0m\u001b[1;39;49m]\u001b[0m\u001b[39;49m To update, run: \u001b[0m\u001b[32;49mpip install --upgrade pip\u001b[0m\n", + "Note: you may need to restart the kernel to use updated packages.\n" + ] + } + ], + "source": [ + "pip install networkx" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "909d6019-1d2e-4d5f-9249-86748e5c8f69", + "metadata": {}, + "outputs": [], + "source": [ + "import os\n", + "import s3fs\n", + "os.environ[\"AWS_ACCESS_KEY_ID\"] = 'UMMV3Z72A70MCCSRV17O'\n", + "os.environ[\"AWS_SECRET_ACCESS_KEY\"] = 'wBFxaez78UPNW3BtchZOf4f238ZNXKnCexeGufaa'\n", + "os.environ[\"AWS_SESSION_TOKEN\"] = 'eyJhbGciOiJIUzUxMiIsInR5cCI6IkpXVCJ9.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.rffoTJijRiGK2DCDhXj5y8R31DRH1LWkTwuH_1lvU9qN_xJSTmBIM4uGR_zp7XpMnq_ePwVhlkoWN15cNUgjMA'\n", + "os.environ[\"AWS_DEFAULT_REGION\"] = 'us-east-1'\n", + "fs = s3fs.S3FileSystem(\n", + " client_kwargs={'endpoint_url': 'https://'+'minio-simple.lab.groupe-genes.fr'},\n", + " key = os.environ[\"AWS_ACCESS_KEY_ID\"], \n", + " secret = os.environ[\"AWS_SECRET_ACCESS_KEY\"], \n", + " token = os.environ[\"AWS_SESSION_TOKEN\"])" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "38108d9e-a00c-4026-afd8-706b7131566e", + "metadata": {}, + "outputs": [], + "source": [ + "import warnings\n", + "warnings.filterwarnings(\"ignore\")\n", + "\n", + "import numpy as np\n", + "import pandas as pd\n", + "import matplotlib.pyplot as plt\n", + "import seaborn as sns\n", + "\n", + "from sklearn.preprocessing import StandardScaler, RobustScaler\n", + "from sklearn.cluster import KMeans\n", + "from sklearn.mixture import GaussianMixture\n", + "from sklearn.metrics import silhouette_score, davies_bouldin_score, pairwise_distances\n", + "from sklearn.linear_model import LinearRegression\n", + "from sklearn.neighbors import kneighbors_graph\n", + "from sklearn.manifold import MDS\n", + "\n", + "import networkx as nx\n", + "\n", + "sns.set_style(\"whitegrid\")\n", + "pd.set_option(\"display.max_columns\", 200)\n", + "pd.set_option(\"display.max_rows\", 200)\n", + "\n", + "EPS = 1e-9\n", + "RANDOM_STATE = 42" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "558c8d6d-9a8d-4c82-9765-620f7ce8d116", + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "

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5589915 rows × 21 columns

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" + ], + "text/plain": [ + " Unnamed: 0 Agreement - Code Company - Id \\\n", + "0 0 3 166.0 \n", + "1 1 3 166.0 \n", + "2 2 3 166.0 \n", + "3 3 3 166.0 \n", + "4 4 3 166.0 \n", + "... ... ... ... \n", + "5589910 4880294 PRIVATE CLIENT PRIVATE CLIENT \n", + "5589911 4880294 PRIVATE CLIENT PRIVATE CLIENT \n", + "5589912 4880295 PRIVATE CLIENT PRIVATE CLIENT \n", + "5589913 4880295 PRIVATE CLIENT PRIVATE CLIENT \n", + "5589914 4880296 PRIVATE CLIENT PRIVATE CLIENT \n", + "\n", + " Company - Ultimate Parent Id Registrar Account - ID \\\n", + "0 166.0 200000647 \n", + "1 166.0 200000647 \n", + "2 166.0 200000647 \n", + "3 166.0 200000647 \n", + "4 166.0 200000647 \n", + "... ... ... \n", + "5589910 PRIVATE CLIENT PRIVATE CLIENT \n", + "5589911 PRIVATE CLIENT PRIVATE CLIENT \n", + "5589912 PRIVATE CLIENT PRIVATE CLIENT \n", + "5589913 PRIVATE CLIENT PRIVATE CLIENT \n", + "5589914 PRIVATE CLIENT PRIVATE CLIENT \n", + "\n", + " Registrar Account - Region RegistrarAccount - Country \\\n", + "0 FRANCE FRANCE \n", + "1 FRANCE FRANCE \n", + "2 FRANCE FRANCE \n", + "3 FRANCE FRANCE \n", + "4 FRANCE FRANCE \n", + "... ... ... \n", + "5589910 SWITZERLAND SWITZERLAND \n", + "5589911 SWITZERLAND SWITZERLAND \n", + "5589912 SWITZERLAND SWITZERLAND \n", + "5589913 SWITZERLAND SWITZERLAND \n", + "5589914 SWITZERLAND SWITZERLAND \n", + "\n", + " Product - Asset Type Product - Strategy Product - Legal Status \\\n", + "0 DIVERSIFIED PATRIMOINE FCP \n", + "1 DIVERSIFIED PATRIMOINE FCP \n", + "2 DIVERSIFIED PATRIMOINE FCP \n", + "3 DIVERSIFIED PATRIMOINE FCP \n", + "4 DIVERSIFIED PATRIMOINE FCP \n", + "... ... ... ... \n", + "5589910 FIXED INCOME SÉCURITÉ SICAV \n", + "5589911 FIXED INCOME SÉCURITÉ SICAV \n", + "5589912 FIXED INCOME SÉCURITÉ SICAV \n", + "5589913 FIXED INCOME SÉCURITÉ SICAV \n", + "5589914 FIXED INCOME SÉCURITÉ SICAV \n", + "\n", + " Product - Is Dedie ? Product - Fund \\\n", + "0 NO CARMIGNAC PATRIMOINE \n", + "1 NO CARMIGNAC PATRIMOINE \n", + "2 NO CARMIGNAC PATRIMOINE \n", + "3 NO CARMIGNAC PATRIMOINE \n", + "4 NO CARMIGNAC PATRIMOINE \n", + "... ... ... \n", + "5589910 NO CARMIGNAC PORTFOLIO SÉCURITÉ \n", + "5589911 NO CARMIGNAC PORTFOLIO SÉCURITÉ \n", + "5589912 NO CARMIGNAC PORTFOLIO SÉCURITÉ \n", + "5589913 NO CARMIGNAC PORTFOLIO SÉCURITÉ \n", + "5589914 NO CARMIGNAC PORTFOLIO SÉCURITÉ \n", + "\n", + " Product - Shareclass Type Product - Shareclass Currency \\\n", + "0 A EUR \n", + "1 A EUR \n", + "2 A EUR \n", + "3 A EUR \n", + "4 A EUR \n", + "... ... ... \n", + "5589910 AW & AW-R EUR \n", + "5589911 AW & AW-R EUR \n", + "5589912 AW & AW-R EUR \n", + "5589913 AW & AW-R EUR \n", + "5589914 FW & FW-R EUR \n", + "\n", + " Product - Isin Centralisation Date Quantity - AUM Value - AUM CCY \\\n", + "0 FR0010135103 2015-03-31 35.368 24648.6666 \n", + "1 FR0010135103 2015-11-30 35.368 22413.0553 \n", + "2 FR0010135103 2015-12-31 35.368 22051.2406 \n", + "3 FR0010135103 2016-03-31 35.368 21626.1173 \n", + "4 FR0010135103 2016-11-30 35.368 22489.4502 \n", + "... ... ... ... ... \n", + "5589910 LU1299306321 2020-10-31 3099.000 318422.2500 \n", + "5589911 LU1299306321 2020-10-31 3099.000 318422.2500 \n", + "5589912 LU1299306321 2021-07-31 2835.000 297618.3000 \n", + "5589913 LU1299306321 2021-07-31 2835.000 297618.3000 \n", + "5589914 LU1792391911 2020-07-31 2916.394 287410.6287 \n", + "\n", + " Value - AUM € repair_flag n_repairs \n", + "0 24648.6666 False 0.0 \n", + "1 22413.0553 False 0.0 \n", + "2 22051.2406 False 0.0 \n", + "3 21626.1173 False 0.0 \n", + "4 22489.4502 False 0.0 \n", + "... ... ... ... \n", + "5589910 318422.2500 False 0.0 \n", + "5589911 318422.2500 False 0.0 \n", + "5589912 297618.3000 False 0.0 \n", + "5589913 297618.3000 False 0.0 \n", + "5589914 287410.6287 False 0.0 \n", + "\n", + "[5589915 rows x 21 columns]" + ] + }, + "execution_count": 6, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df_aum = pd.read_csv(\"stock_repaired.csv\")\n", + "df_aum" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "4c799ab2-b16e-4cbe-85ee-818002c758c4", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array(['CARMIGNAC PATRIMOINE', 'CARMIGNAC INVESTISSEMENT',\n", + " 'CARMIGNAC PORTFOLIO INVESTISSEMENT',\n", + " 'CARMIGNAC EURO-INVESTISSEMENT', 'CARMIGNAC INNOVATION',\n", + " 'CARMIGNAC ABSOLUTE RETURN EUROPE',\n", + " 'CARMIGNAC PORTFOLIO CLIMATE TRANSITION',\n", + " 'CARMIGNAC EURO-ENTREPRENEURS', 'CARMIGNAC EMERGENTS',\n", + " 'CARMIGNAC PORTFOLIO EMERGING PATRIMOINE',\n", + " 'CARMIGNAC PORTFOLIO GRANDE EUROPE',\n", + " 'CARMIGNAC INVESTISSEMENT LATITUDE', 'CARMIGNAC COURT TERME',\n", + " 'CARMIGNAC SÉCURITÉ', 'CARMIGNAC MULTI EXPERTISE',\n", + " 'CARMIGNAC PORTFOLIO INFOTECH', 'CARMIGNAC PROFIL RÉACTIF 100',\n", + " 'CARMIGNAC PORTFOLIO GLOBAL BOND', 'CARMIGNAC PROFIL RÉACTIF 75',\n", + " 'CARMIGNAC PORTFOLIO PATRIMOINE EUROPE', 'CARMIGNAC CREDIT 2027',\n", + " 'CARMIGNAC PORTFOLIO ASIA DISCOVERY',\n", + " 'CARMIGNAC PORTFOLIO TECH SOLUTIONS',\n", + " 'CARMIGNAC PORTFOLIO FLEXIBLE BOND', 'CARMIGNAC PORTFOLIO CREDIT',\n", + " 'CARMIGNAC PORTFOLIO MARKET NEUTRAL',\n", + " 'CARMIGNAC PORTFOLIO EM DEBT',\n", + " 'CARMIGNAC PORTFOLIO LONG-SHORT EUROPEAN EQUITIES',\n", + " 'CARMIGNAC PORTFOLIO LONG-SHORT GLOBAL EQUITIES',\n", + " 'CARMIGNAC PORTFOLIO PATRIMOINE',\n", + " 'CARMIGNAC PORTFOLIO EURO-ENTREPRENEURS',\n", + " 'CARMIGNAC PORTFOLIO GRANDCHILDREN',\n", + " 'CARMIGNAC PORTFOLIO INVESTISSEMENT LATITUDE',\n", + " 'CARMIGNAC PORTFOLIO EMERGENTS', 'CARMIGNAC PORTFOLIO SÉCURITÉ',\n", + " 'CARMIGNAC PORTFOLIO INFLATION SOLUTION', 'CARMIGNAC CREDIT 2029',\n", + " 'CARMIGNAC CREDIT 2031', 'CARMIGNAC PORTFOLIO CAPITAL CUBE',\n", + " 'CARMIGNAC PORTFOLIO CHINA NEW ECONOMY', 'CARMIGNAC CREDIT 2025',\n", + " 'CARMIGNAC EPARGNE ACTIONS MONDE ISR',\n", + " 'CARMIGNAC PORTFOLIO FAMILY GOVERNED',\n", + " 'CARMIGNAC S.A. SICAV - PART II UCI PRIVATE EVERGREEN',\n", + " 'CARMIGNAC PORTFOLIO HUMAN XPERIENCE',\n", + " 'CARMIGNAC CHINA NEW ECONOMY', 'CARMIGNAC PORTFOLIO CHINA',\n", + " 'CARMIGNAC ALTS ICAV CARMIGNAC CREDIT OPPORTUNITIES',\n", + " 'CARMIGNAC PORTFOLIO MERGER ARBITRAGE PLUS',\n", + " 'CARMIGNAC PORTFOLIO ABSOLUTE RETURN EUROPE',\n", + " 'CARMIGNAC PORTFOLIO FLEXIBLE ALLOCATION 2024',\n", + " 'FP CARMIGNAC EUROPEAN LEADERS',\n", + " 'FP CARMIGNAC GLOBAL EQUITY COMPOUNDERS',\n", + " 'CARMIGNAC PORTFOLIO MERGER ARBITRAGE',\n", + " 'SOLYS - CARMIGNAC EQUITY SELECTION',\n", + " 'FP CARMIGNAC EMERGING MARKETS', 'MAPFRE CARMIGNAC F.P.',\n", + " 'FP CARMIGNAC GLOBAL BOND',\n", + " 'CARMIGNAC ALTS ICAV EUROPEAN LONG SHORT',\n", + " 'CARMIGNAC PORTFOLIO ACTIVE RISK ALLOCATION',\n", + " 'FP CARMIGNAC EMERGING PATRIMOINE', 'FP CARMIGNAC PATRIMOINE',\n", + " 'FP CARMIGNAC EMERGING DISCOVERY',\n", + " 'CREDIT SUISSE CARMIGNAC EMERGING MARKETS MULTI-ASSET FUND',\n", + " 'FONDITALIA CARMIGNAC ACTIVE ALLOCATION',\n", + " 'CARMIGNAC GLOBAL ACTIVE',\n", + " 'LUX IM - CARMIGNAC EMERGING FLEXIBLE BOND',\n", + " 'CARMIGNAC PORTFOLIO EVOLUTION', 'UFF GRANDE EUROPE 0-100',\n", + " 'CFP 1', 'CARMIGNAC PORTFOLIO SUSTAINABLE BOND',\n", + " 'CARMIGNAC PORTFOLIO CROSS ASSET OPPORTUNITIES',\n", + " 'CARMIGNAC PORTFOLIO ALPHA THEMES',\n", + " 'CARMIGNAC PORTFOLIO GLOBAL MARKET NEUTRAL'], dtype=object)" + ] + }, + "execution_count": 7, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df_aum['Product - Fund'].unique()" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "09068a72-80a4-4239-947a-a73f6de10a57", + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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Registrar Account - IDn_daysn_transactionstotal_netflowsmean_flowstd_flowtotal_subscriptiontotal_redemptionchurn_ratiochurn_flagactivity_scoreflow_volatilityinertia_ratio
010000002833-1.092380e+02-36.41266749.2805110.000000e+00-1.092380e+02-1.092380e+0801.38629449.2805110.998921
110000004211-6.601150e+02-660.115000NaN0.000000e+00-6.601150e+02-6.601150e+0800.6931470.0000000.999640
210000006511-1.746460e+02-174.646000NaN0.000000e+00-1.746460e+02-1.746460e+0800.6931470.0000000.999640
31000000696573-7.479755e+03-102.4623972168.9713313.332040e+04-4.080016e+04-1.224480e+0004.3040652168.9713310.976619
410000007311-1.334020e+02-133.402000NaN0.000000e+00-1.334020e+02-1.334020e+0800.6931470.0000000.999640
..........................................
6837422905208212-4.329218e+03-20.420840331.6772979.699140e+03-1.402836e+04-1.446351e+0005.361292331.6772970.925180
6838422906114615564.455099e+032.863174201.0715556.078686e+04-5.633177e+04-9.267095e-0107.350516201.0715550.587770
683983072042212.168303e+0498.1132492217.9404061.204399e+05-9.875688e+04-8.199681e-0105.4026772217.9404060.926619
6840OFF DISTRIBUTION2656276791.319043e+084765.499704391347.4755033.388942e+08-2.069900e+08-6.107804e-01010.228465391347.4755030.044604
6841PRIVATE CLIENT269032363-4.181221e+05-12.9197587572.8301391.354277e+07-1.396089e+07-1.030874e+00010.3848027572.8301390.032374
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6842 rows × 13 columns

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" + ], + "text/plain": [ + " Registrar Account - ID n_days n_transactions total_netflows \\\n", + "0 100000028 3 3 -1.092380e+02 \n", + "1 100000042 1 1 -6.601150e+02 \n", + "2 100000065 1 1 -1.746460e+02 \n", + "3 100000069 65 73 -7.479755e+03 \n", + "4 100000073 1 1 -1.334020e+02 \n", + "... ... ... ... ... \n", + "6837 422905 208 212 -4.329218e+03 \n", + "6838 422906 1146 1556 4.455099e+03 \n", + "6839 8307 204 221 2.168303e+04 \n", + "6840 OFF DISTRIBUTION 2656 27679 1.319043e+08 \n", + "6841 PRIVATE CLIENT 2690 32363 -4.181221e+05 \n", + "\n", + " mean_flow std_flow total_subscription total_redemption \\\n", + "0 -36.412667 49.280511 0.000000e+00 -1.092380e+02 \n", + "1 -660.115000 NaN 0.000000e+00 -6.601150e+02 \n", + "2 -174.646000 NaN 0.000000e+00 -1.746460e+02 \n", + "3 -102.462397 2168.971331 3.332040e+04 -4.080016e+04 \n", + "4 -133.402000 NaN 0.000000e+00 -1.334020e+02 \n", + "... ... ... ... ... \n", + "6837 -20.420840 331.677297 9.699140e+03 -1.402836e+04 \n", + "6838 2.863174 201.071555 6.078686e+04 -5.633177e+04 \n", + "6839 98.113249 2217.940406 1.204399e+05 -9.875688e+04 \n", + "6840 4765.499704 391347.475503 3.388942e+08 -2.069900e+08 \n", + "6841 -12.919758 7572.830139 1.354277e+07 -1.396089e+07 \n", + "\n", + " churn_ratio churn_flag activity_score flow_volatility inertia_ratio \n", + "0 -1.092380e+08 0 1.386294 49.280511 0.998921 \n", + "1 -6.601150e+08 0 0.693147 0.000000 0.999640 \n", + "2 -1.746460e+08 0 0.693147 0.000000 0.999640 \n", + "3 -1.224480e+00 0 4.304065 2168.971331 0.976619 \n", + "4 -1.334020e+08 0 0.693147 0.000000 0.999640 \n", + "... ... ... ... ... ... \n", + "6837 -1.446351e+00 0 5.361292 331.677297 0.925180 \n", + "6838 -9.267095e-01 0 7.350516 201.071555 0.587770 \n", + "6839 -8.199681e-01 0 5.402677 2217.940406 0.926619 \n", + "6840 -6.107804e-01 0 10.228465 391347.475503 0.044604 \n", + "6841 -1.030874e+00 0 10.384802 7572.830139 0.032374 \n", + "\n", + "[6842 rows x 13 columns]" + ] + }, + "execution_count": 8, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df_client = pd.read_csv(\"client_behavior_clean.csv\")\n", + "df_client" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "id": "791d8a11-fa46-400b-bbf1-55c8c055f524", + "metadata": {}, + "outputs": [], + "source": [ + "#external data projet-bdc-data /carmignac /Data Modélisation /Nav\n", + "PATH_NAV = \"s3://projet-bdc-data/carmignac/Data Modélisation/Nav/NAV_Bench_data.csv\" #C’est la table de valorisation / performance du produit.\n", + "PATH_RATES = \"s3://projet-bdc-data/carmignac/Data Modélisation/market data/esterRates.csv\"\n", + "\n", + "# optional competitors\n", + "PATH_COMP_FLOWS = \"s3://projet-bdc-data/carmignac/Data Modélisation/competitors/daily_estimated_flows.csv\"\n", + "PATH_COMP_PERF = \"s3://projet-bdc-data/carmignac/Data Modélisation/competitors/weekly_perf_full.csv\"\n", + "PATH_PEERS = \"s3://projet-bdc-carmignac-g3/peers/CAD_peers.csv\"" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "id": "415015e5-4cdc-4ea9-9c0e-701c58314873", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "flows: (2574461, 25)\n", + "aum: (5589915, 21)\n", + "nav: (623914, 5)\n", + "rates: (2826, 2)\n", + "comp_flows: (963003, 6)\n", + "comp_perf: (2370192, 5)\n", + "peers: (31, 12)\n" + ] + } + ], + "source": [ + "df_nav = pd.read_csv(PATH_NAV, sep=\";\")\n", + "df_rates = pd.read_csv(PATH_RATES,sep=\";\")\n", + "\n", + "df_comp_flows = pd.read_csv(PATH_COMP_FLOWS,sep=\";\")\n", + "df_comp_perf = pd.read_csv(PATH_COMP_PERF,sep=\";\")\n", + "df_peers = pd.read_csv(PATH_PEERS,sep=\"|\")\n", + "\n", + "print(\"flows:\", df_flows.shape)\n", + "print(\"aum:\", df_aum.shape)\n", + "print(\"nav:\", df_nav.shape)\n", + "print(\"rates:\", df_rates.shape)\n", + "print(\"comp_flows:\", df_comp_flows.shape)\n", + "print(\"comp_perf:\", df_comp_perf.shape)\n", + "print(\"peers:\", df_peers.shape)\n", + "\n", + "\n", + "#dbe bel ekhr un dataset avec une ligne pour : un client - un produit Carmignac - un mois " + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "id": "0a52ab96-1c47-4530-83d0-148e72f70d9b", + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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DatIsinAum EurPrice (TF PartPrice)PriceBench
62390910/16/2025FR001400KIF0108424691,27148,73462,49002312
62391010/17/2025FR001400KIF0107947215,67148,08462,6446111
62391110/20/2025FR001400KIF0109597120,24150,34468,73416853
62391210/21/2025FR001400KIF0110216503,12151,19470,33788616
62391310/22/2025FR001400KIF0109692584,22150,47468,13202429
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" + ], + "text/plain": [ + " Dat Isin Aum Eur Price (TF PartPrice) \\\n", + "623909 10/16/2025 FR001400KIF0 108424691,27 148,73 \n", + "623910 10/17/2025 FR001400KIF0 107947215,67 148,08 \n", + "623911 10/20/2025 FR001400KIF0 109597120,24 150,34 \n", + "623912 10/21/2025 FR001400KIF0 110216503,12 151,19 \n", + "623913 10/22/2025 FR001400KIF0 109692584,22 150,47 \n", + "\n", + " PriceBench \n", + "623909 462,49002312 \n", + "623910 462,6446111 \n", + "623911 468,73416853 \n", + "623912 470,33788616 \n", + "623913 468,13202429 " + ] + }, + "execution_count": 11, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df_nav.tail()" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "id": "e15c0a1d-d636-48f5-83ab-ff43b49b0e44", + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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DateYld to Maturity
282116/10/20251.928
282217/10/20251.928
282320/10/20251.928
282421/10/20251.927
282522/10/20251.928
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" + ], + "text/plain": [ + " Date Yld to Maturity\n", + "2821 16/10/2025 1.928\n", + "2822 17/10/2025 1.928\n", + "2823 20/10/2025 1.928\n", + "2824 21/10/2025 1.927\n", + "2825 22/10/2025 1.928" + ] + }, + "execution_count": 12, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df_rates.tail() #Table de marché macro, ici probablement un taux de référence." + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "id": "ede9c196-1d10-48fc-b99f-7369a2fb3d9b", + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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shareClass_nameSecId_MSISINFundIdDateEstimated Fund-level Net Flow (Daily)
962998TM Lansdowne European Spec Sit I Acc GBPF00000VH4KGB00BTJRQ064FS0000BQP32025-06-27183110.412
962999Waverton European Dividend Gr B GBP IncF000011TLCIE00BF5KV626FS0000E90E2025-06-2716425.603
963000Premier Miton European Opports B AccF00000WMCFGB00BZ2K2M84FS0000C8WZ2025-06-27-612606.416
963001Incrementum Active Commodity Fund R EURF00000SVVRLI0226274319FS0000AMCV2025-06-27-5123.607
963002AXAWF Inflation Plus A Cap EURF00001CSX2LU2257473269FS0000H62L2025-06-27393490.630
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" + ], + "text/plain": [ + " shareClass_name SecId_MS ISIN \\\n", + "962998 TM Lansdowne European Spec Sit I Acc GBP F00000VH4K GB00BTJRQ064 \n", + "962999 Waverton European Dividend Gr B GBP Inc F000011TLC IE00BF5KV626 \n", + "963000 Premier Miton European Opports B Acc F00000WMCF GB00BZ2K2M84 \n", + "963001 Incrementum Active Commodity Fund R EUR F00000SVVR LI0226274319 \n", + "963002 AXAWF Inflation Plus A Cap EUR F00001CSX2 LU2257473269 \n", + "\n", + " FundId Date Estimated Fund-level Net Flow (Daily) \n", + "962998 FS0000BQP3 2025-06-27 183110.412 \n", + "962999 FS0000E90E 2025-06-27 16425.603 \n", + "963000 FS0000C8WZ 2025-06-27 -612606.416 \n", + "963001 FS0000AMCV 2025-06-27 -5123.607 \n", + "963002 FS0000H62L 2025-06-27 393490.630 " + ] + }, + "execution_count": 13, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df_comp_flows.tail()\n" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "id": "71407c1d-dda2-4ec6-9df4-499d4502e560", + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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DateperfPeriodshareClass_namereturnpercentile
23701872015-12-30WeeklyRetBNP Paribas Emerging Eq Cl Eur C-1.62347883.0
23701882015-12-30WeeklyRetCapital Group EM Debt (LUX) B-0.16233888.0
23701892015-12-30WeeklyRetBGF Global Allocation A2 EUR Hedged0.38771244.0
23701902015-12-30WeeklyRetExane Funds 2 Exane Pleiade B EUR Acc0.08289660.0
23701912015-12-30WeeklyRetInvesco Euro Short Term Bond A EUR Acc0.03430235.0
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" + ], + "text/plain": [ + " Date perfPeriod shareClass_name \\\n", + "2370187 2015-12-30 WeeklyRet BNP Paribas Emerging Eq Cl Eur C \n", + "2370188 2015-12-30 WeeklyRet Capital Group EM Debt (LUX) B \n", + "2370189 2015-12-30 WeeklyRet BGF Global Allocation A2 EUR Hedged \n", + "2370190 2015-12-30 WeeklyRet Exane Funds 2 Exane Pleiade B EUR Acc \n", + "2370191 2015-12-30 WeeklyRet Invesco Euro Short Term Bond A EUR Acc \n", + "\n", + " return percentile \n", + "2370187 -1.623478 83.0 \n", + "2370188 -0.162338 88.0 \n", + "2370189 0.387712 44.0 \n", + "2370190 0.082896 60.0 \n", + "2370191 0.034302 35.0 " + ] + }, + "execution_count": 14, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df_comp_perf.tail() #Performance des concurrents, avec rang relatif.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "id": "05b87839-dc25-4f0d-8bf8-f43ac8c932ee", + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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NameISINSecId_MSFundIdGlobal Broad Category GroupGlobal CategoryMorningstar CategoryIndex FundEnhanced IndexInception DateInception Date of Fund's Oldest Share ClassDomicile
26Vontobel mtx EM Ldrs ex Chn S USD AccLU2601939452F00001G9PTFS0000IAHLEquityGlobal Emerging Markets EquityEAA Fund Global Emerging Markets ex-China EquityNoNo2023-09-202023-09-20Luxembourg
27PineBridge Asia exJapan SmCap Eq AIE00B12V2V27FOGBR05LNRFSGBR06C4WEquityAsia ex-Japan EquityEAA Fund Asia ex-Japan Small/Mid-Cap EquityNoNo2006-04-191994-09-01Ireland
28abrdn-Asian Smaller Companies A Acc USDLU0231459107F0GBR06X7HFSGBR05GSYEquityAsia ex-Japan EquityEAA Fund Asia ex-Japan Small/Mid-Cap EquityNoNo2004-05-142004-05-14Luxembourg
29Allianz Asian Small Cap Equity A EURLU2420271673F00001DBJJFS0000ASMBEquityAsia ex-Japan EquityEAA Fund Asia ex-Japan Small/Mid-Cap EquityNoNo2022-01-052014-05-13Luxembourg
30Allianz Asia Ex China Equity A (USD)LU0348788117F000000F7VFSUSA08CNDEquityAsia ex-Japan EquityEAA Fund Asia ex-Japan EquityNoNo2008-10-032008-10-03Luxembourg
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" + ], + "text/plain": [ + " Name ISIN SecId_MS \\\n", + "26 Vontobel mtx EM Ldrs ex Chn S USD Acc LU2601939452 F00001G9PT \n", + "27 PineBridge Asia exJapan SmCap Eq A IE00B12V2V27 FOGBR05LNR \n", + "28 abrdn-Asian Smaller Companies A Acc USD LU0231459107 F0GBR06X7H \n", + "29 Allianz Asian Small Cap Equity A EUR LU2420271673 F00001DBJJ \n", + "30 Allianz Asia Ex China Equity A (USD) LU0348788117 F000000F7V \n", + "\n", + " FundId Global Broad Category Group Global Category \\\n", + "26 FS0000IAHL Equity Global Emerging Markets Equity \n", + "27 FSGBR06C4W Equity Asia ex-Japan Equity \n", + "28 FSGBR05GSY Equity Asia ex-Japan Equity \n", + "29 FS0000ASMB Equity Asia ex-Japan Equity \n", + "30 FSUSA08CND Equity Asia ex-Japan Equity \n", + "\n", + " Morningstar Category Index Fund \\\n", + "26 EAA Fund Global Emerging Markets ex-China Equity No \n", + "27 EAA Fund Asia ex-Japan Small/Mid-Cap Equity No \n", + "28 EAA Fund Asia ex-Japan Small/Mid-Cap Equity No \n", + "29 EAA Fund Asia ex-Japan Small/Mid-Cap Equity No \n", + "30 EAA Fund Asia ex-Japan Equity No \n", + "\n", + " Enhanced Index Inception Date Inception Date of Fund's Oldest Share Class \\\n", + "26 No 2023-09-20 2023-09-20 \n", + "27 No 2006-04-19 1994-09-01 \n", + "28 No 2004-05-14 2004-05-14 \n", + "29 No 2022-01-05 2014-05-13 \n", + "30 No 2008-10-03 2008-10-03 \n", + "\n", + " Domicile \n", + "26 Luxembourg \n", + "27 Ireland \n", + "28 Luxembourg \n", + "29 Luxembourg \n", + "30 Luxembourg " + ] + }, + "execution_count": 15, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df_peers.tail() #Ça permet de mesurer la pression concurrentielle." + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "id": "9128c36b-33fd-44b2-a622-d3059f482c02", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Index(['Unnamed: 0', 'Agreement - Code', 'Company - Id',\n", + " 'Company - Ultimate Parent Id', 'Registrar Account - ID',\n", + " 'Registrar Account - Region', 'RegistrarAccount - Country',\n", + " 'Product - Asset Type', 'Product - Strategy', 'Product - Legal Status',\n", + " 'Product - Is Dedie ?', 'Product - Fund', 'Product - Shareclass Type',\n", + " 'Product - Shareclass Currency', 'Product - Isin',\n", + " 'Centralisation Date', 'Quantity - Subscription',\n", + " 'Quantity - Redemption', 'Quantity - NetFlows',\n", + " 'Value Ccy - Subscription', 'Value Ccy - Redemption',\n", + " 'Value Ccy - NetFlows', 'Value € - Subscription',\n", + " 'Value € - Redemption', 'Value € - NetFlows'],\n", + " dtype='object')\n", + "Index(['Unnamed: 0', 'Agreement - Code', 'Company - Id',\n", + " 'Company - Ultimate Parent Id', 'Registrar Account - ID',\n", + " 'Registrar Account - Region', 'RegistrarAccount - Country',\n", + " 'Product - Asset Type', 'Product - Strategy', 'Product - Legal Status',\n", + " 'Product - Is Dedie ?', 'Product - Fund', 'Product - Shareclass Type',\n", + " 'Product - Shareclass Currency', 'Product - Isin',\n", + " 'Centralisation Date', 'Quantity - AUM', 'Value - AUM CCY',\n", + " 'Value - AUM €', 'repair_flag', 'n_repairs'],\n", + " dtype='object')\n", + "Index(['Registrar Account - ID', 'n_days', 'n_transactions', 'total_netflows',\n", + " 'mean_flow', 'std_flow', 'total_subscription', 'total_redemption',\n", + " 'churn_ratio', 'churn_flag', 'activity_score', 'flow_volatility',\n", + " 'inertia_ratio'],\n", + " dtype='object')\n", + "Index(['Dat', 'Isin', 'Aum Eur', 'Price (TF PartPrice)', 'PriceBench'], dtype='object')\n", + "Index(['Date', 'Yld to Maturity'], dtype='object')\n", + "Index(['shareClass_name', 'SecId_MS', 'ISIN', 'FundId', 'Date',\n", + " 'Estimated Fund-level Net Flow (Daily)'],\n", + " dtype='object')\n", + "Index(['Date', 'perfPeriod', 'shareClass_name', 'return', 'percentile'], dtype='object')\n", + "Index(['Name', 'ISIN', 'SecId_MS', 'FundId', 'Global Broad Category Group',\n", + " 'Global Category', 'Morningstar Category', 'Index Fund',\n", + " 'Enhanced Index', 'Inception Date',\n", + " 'Inception Date of Fund's Oldest Share Class', 'Domicile'],\n", + " dtype='object')\n" + ] + } + ], + "source": [ + "for d in [df_flows,df_aum,df_client,df_nav,df_rates,df_comp_flows,df_comp_perf,df_peers]:\n", + " print (d.columns)" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "id": "7e82983d-aaf3-40c1-9186-2cb13c6274d7", + "metadata": {}, + "outputs": [], + "source": [ + "ID_COL = \"Registrar Account - ID\"\n", + "ISIN_COL = \"Product - Isin\"\n", + "\n", + "FLOW_DATE_COL = \"Centralisation Date\"\n", + "AUM_DATE_COL = \"Centralisation Date\"\n", + "\n", + "FLOW_QTY_COL = \"Quantity - NetFlows\"\n", + "FLOW_SUB_COL = \"Quantity - Subscription\"\n", + "FLOW_RED_COL = \"Quantity - Redemption\"\n", + "\n", + "AUM_QTY_COL = \"Quantity - AUM\"\n", + "AUM_VAL_COL = \"Value - AUM €\"\n", + "\n", + "REGION_COL = \"Registrar Account - Region\"\n", + "COUNTRY_COL = \"RegistrarAccount - Country\"\n", + "\n", + "NAV_DATE_COL = \"Dat\"\n", + "NAV_ISIN_COL = \"Isin\"\n", + "NAV_PRICE_COL = \"Price (TF PartPrice)\"\n", + "NAV_BENCH_COL = \"PriceBench\"\n", + "\n", + "RATE_DATE_COL = \"Date\"\n", + "RATE_VAL_COL = \"Yld to Maturity\"" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "id": "6dd153e1-7e6f-47b7-81b1-c77fa763a087", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "' Pourquoi le mois ?\\nParce que :\\nles flux journaliers sont trop bruités\\nle churn et les comportements de portefeuille se lisent mieux au mois #le churn signifie qu’un client quitte le fonds\\nla plupart des comportements d’allocation sont plus lisibles à cette fréquence'" + ] + }, + "execution_count": 18, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "for df, date_col in [\n", + " (df_flows, FLOW_DATE_COL),\n", + " (df_aum, AUM_DATE_COL),\n", + " (df_nav, NAV_DATE_COL),\n", + " (df_rates, RATE_DATE_COL),\n", + "]:\n", + " df[date_col] = pd.to_datetime(df[date_col], errors=\"coerce\")\n", + "\n", + "df_flows[\"month\"] = df_flows[FLOW_DATE_COL].dt.to_period(\"M\").dt.to_timestamp()\n", + "df_aum[\"month\"] = df_aum[AUM_DATE_COL].dt.to_period(\"M\").dt.to_timestamp()\n", + "df_nav[\"month\"] = df_nav[NAV_DATE_COL].dt.to_period(\"M\").dt.to_timestamp()\n", + "df_rates[\"month\"] = df_rates[RATE_DATE_COL].dt.to_period(\"M\").dt.to_timestamp()\n", + "\n", + "for col in [FLOW_QTY_COL, FLOW_SUB_COL, FLOW_RED_COL]:\n", + " df_flows[col] = pd.to_numeric(df_flows[col], errors=\"coerce\")\n", + "\n", + "for col in [AUM_QTY_COL, AUM_VAL_COL]:\n", + " df_aum[col] = pd.to_numeric(df_aum[col], errors=\"coerce\")\n", + "\n", + "for col in [NAV_PRICE_COL, NAV_BENCH_COL]:\n", + " df_nav[col] = pd.to_numeric(df_nav[col], errors=\"coerce\")\n", + "\n", + "df_rates[RATE_VAL_COL] = pd.to_numeric(df_rates[RATE_VAL_COL], errors=\"coerce\")\n", + "\n", + "for df, col in [(df_flows, ISIN_COL), (df_aum, ISIN_COL)]:\n", + " df[col] = df[col].astype(str).str.strip()\n", + "\n", + "df_nav[NAV_ISIN_COL] = df_nav[NAV_ISIN_COL].astype(str).str.strip()\n", + "\n", + "''' Pourquoi le mois ?\n", + "Parce que :\n", + "les flux journaliers sont trop bruités\n", + "le churn et les comportements de portefeuille se lisent mieux au mois #le churn signifie qu’un client quitte le fonds\n", + "la plupart des comportements d’allocation sont plus lisibles à cette fréquence'''" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "id": "ac43bb83-5800-4000-af9f-8cd4cae9e9d5", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "(4906626, 18)\n" + ] + }, + { + "data": { + "text/plain": [ + "'\\nOn agrège séparément :\\nles flows au niveau client-produit-mois\\nles AUM au niveau client-produit-mois\\n\\nPuis on les fusionne.\\n\\nDatasets créés : df_flows_rel_m\\nTable des transactions mensuelles au niveau : Registrar Account - ID × Product - Isin × month'" + ] + }, + "execution_count": 19, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "'''On veut s’assurer que l’univers des produits Carmignac détenus par les clients est bien cohérent avec l’univers des NAV \n", + "utilisés pour calculer les performances.'''\n", + "\n", + "#pour merge flux et aum c est un full\n", + "'''\n", + "Si un mois existe :\n", + "dans les flux mais pas dans les encours → la clé est gardée\n", + "dans les encours mais pas dans les flux → la clé est gardée\n", + "dans les deux → une seule ligne de clé\n", + "👉 C’est donc une logique proche d’un full outer join, mais construite manuellement.\n", + "'''\n", + "df_flows_rel_m = (\n", + " df_flows\n", + " .dropna(subset=[ID_COL, ISIN_COL, \"month\"])\n", + " .assign(\n", + " gross_flow_qty=lambda x: x[FLOW_QTY_COL].abs(),\n", + " sub_qty=lambda x: x[FLOW_SUB_COL].fillna(0),\n", + " red_qty=lambda x: x[FLOW_RED_COL].fillna(0)\n", + " )\n", + " .groupby([ID_COL, ISIN_COL, \"month\"], as_index=False)\n", + " .agg(\n", + " net_flow_qty=(FLOW_QTY_COL, \"sum\"),\n", + " gross_flow_qty=(\"gross_flow_qty\", \"sum\"),\n", + " sub_qty=(\"sub_qty\", \"sum\"),\n", + " red_qty=(\"red_qty\", \"sum\"),\n", + " n_tx=(FLOW_QTY_COL, \"size\"),\n", + " region=(REGION_COL, \"last\"),\n", + " country=(COUNTRY_COL, \"last\")\n", + " )\n", + ")\n", + "\n", + "df_aum_rel_m = (\n", + " df_aum\n", + " .dropna(subset=[ID_COL, ISIN_COL, \"month\"])\n", + " .groupby([ID_COL, ISIN_COL, \"month\"], as_index=False)\n", + " .agg(\n", + " aum_qty=(AUM_QTY_COL, \"sum\"),\n", + " aum_val=(AUM_VAL_COL, \"sum\"),\n", + " region=(REGION_COL, \"last\"),\n", + " country=(COUNTRY_COL, \"last\")\n", + " )\n", + ")\n", + "\n", + "keys = pd.concat([\n", + " df_flows_rel_m[[ID_COL, ISIN_COL, \"month\"]],\n", + " df_aum_rel_m[[ID_COL, ISIN_COL, \"month\"]]\n", + "]).drop_duplicates()\n", + "\n", + "df_rel_m = (\n", + " keys\n", + " .merge(df_aum_rel_m, on=[ID_COL, ISIN_COL, \"month\"], how=\"left\", suffixes=(\"\", \"_aum\"))\n", + " .merge(df_flows_rel_m, on=[ID_COL, ISIN_COL, \"month\"], how=\"left\", suffixes=(\"\", \"_flow\"))\n", + ")\n", + "\n", + "for c in [\"aum_qty\", \"aum_val\", \"net_flow_qty\", \"gross_flow_qty\", \"sub_qty\", \"red_qty\", \"n_tx\"]:\n", + " df_rel_m[c] = df_rel_m[c].fillna(0)\n", + "\n", + "df_rel_m[\"region\"] = df_rel_m[\"region\"].fillna(df_rel_m.get(\"region_flow\"))\n", + "df_rel_m[\"country\"] = df_rel_m[\"country\"].fillna(df_rel_m.get(\"country_flow\"))\n", + "\n", + "df_rel_m[\"active_rel_month\"] = (df_rel_m[\"gross_flow_qty\"] > 0).astype(int)\n", + "df_rel_m[\"holding_rel_month\"] = (df_rel_m[\"aum_qty\"] > 0).astype(int)\n", + "df_rel_m[\"flow_to_aum_rel\"] = df_rel_m[\"net_flow_qty\"] / (df_rel_m[\"aum_qty\"].abs() + EPS)\n", + "df_rel_m[\"turnover_rel\"] = df_rel_m[\"gross_flow_qty\"] / (df_rel_m[\"aum_qty\"].abs() + EPS)\n", + "\n", + "print(df_rel_m.shape)\n", + "df_rel_m.head()\n", + "\n", + "\n", + "'''\n", + "On agrège séparément :\n", + "les flows au niveau client-produit-mois\n", + "les AUM au niveau client-produit-mois\n", + "\n", + "Puis on les fusionne.\n", + "\n", + "Datasets créés : df_flows_rel_m\n", + "Table des transactions mensuelles au niveau : Registrar Account - ID × Product - Isin × month'''" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "id": "2597a326-88f7-493f-830b-31826112eefa", + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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Product - Isinmonthret_fund_mret_bench_mactive_return_m
617756FR00074867092012-11-01NaNNaNNaN
613737FR00101351032010-03-01NaNNaNNaN
613810FR00101351032010-06-010.070565NaNNaN
614192FR00101351032011-12-01-0.024482NaNNaN
614258FR00101351032012-03-010.028958NaNNaN
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" + ], + "text/plain": [ + " Product - Isin month ret_fund_m ret_bench_m active_return_m\n", + "617756 FR0007486709 2012-11-01 NaN NaN NaN\n", + "613737 FR0010135103 2010-03-01 NaN NaN NaN\n", + "613810 FR0010135103 2010-06-01 0.070565 NaN NaN\n", + "614192 FR0010135103 2011-12-01 -0.024482 NaN NaN\n", + "614258 FR0010135103 2012-03-01 0.028958 NaN NaN" + ] + }, + "execution_count": 20, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df_nav_m = (\n", + " df_nav\n", + " .dropna(subset=[NAV_ISIN_COL, \"month\", NAV_PRICE_COL])\n", + " .sort_values([NAV_ISIN_COL, \"month\"])\n", + " .groupby([NAV_ISIN_COL, \"month\"], as_index=False)\n", + " .tail(1)\n", + " .copy()\n", + ")\n", + "\n", + "df_nav_m[\"ret_fund_m\"] = df_nav_m.groupby(NAV_ISIN_COL)[NAV_PRICE_COL].pct_change()\n", + "df_nav_m[\"ret_bench_m\"] = df_nav_m.groupby(NAV_ISIN_COL)[NAV_BENCH_COL].pct_change()\n", + "df_nav_m[\"active_return_m\"] = df_nav_m[\"ret_fund_m\"] - df_nav_m[\"ret_bench_m\"]\n", + "\n", + "df_nav_m = df_nav_m.rename(columns={NAV_ISIN_COL: ISIN_COL})\n", + "df_nav_m = df_nav_m[[ISIN_COL, \"month\", \"ret_fund_m\", \"ret_bench_m\", \"active_return_m\"]]\n", + "\n", + "df_nav_m.head()\n", + "#on agrège au niveau mensuel en prenant la dernière observation disponible du mois. pour nav et rates " + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "id": "73cb228a-4c21-4407-a3f5-526c4b88639f", + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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monthYld to Maturitydelta_rate_m
02014-12-010.144NaN
222015-01-010.086-0.058
432015-02-010.064-0.022
652015-03-010.050-0.014
862015-04-01-0.027-0.077
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" + ], + "text/plain": [ + " month Yld to Maturity delta_rate_m\n", + "0 2014-12-01 0.144 NaN\n", + "22 2015-01-01 0.086 -0.058\n", + "43 2015-02-01 0.064 -0.022\n", + "65 2015-03-01 0.050 -0.014\n", + "86 2015-04-01 -0.027 -0.077" + ] + }, + "execution_count": 21, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df_rates_m = (\n", + " df_rates\n", + " .dropna(subset=[\"month\", RATE_VAL_COL])\n", + " .sort_values(RATE_DATE_COL)\n", + " .groupby(\"month\", as_index=False)\n", + " .tail(1)\n", + " .copy()\n", + ")\n", + "\n", + "df_rates_m[\"delta_rate_m\"] = df_rates_m[RATE_VAL_COL].diff()\n", + "df_rates_m = df_rates_m[[\"month\", RATE_VAL_COL, \"delta_rate_m\"]]\n", + "\n", + "df_rates_m.head()" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "id": "1e1f0fa9-9c62-4a5e-8ee1-2605c76fb80a", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "'\\nCréer un dataset complet contenant : fsionner ala left uaane hasab rel m shufyo bkhdu inter\\nclient + produit + performance + environnement macro.'" + ] + }, + "execution_count": 22, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df_rel_m = df_rel_m.merge(\n", + " df_nav_m,\n", + " on=[ISIN_COL, \"month\"],\n", + " how=\"left\"\n", + ")\n", + "\n", + "df_rel_m = df_rel_m.merge(\n", + " df_rates_m[[\"month\", \"delta_rate_m\"]],\n", + " on=\"month\",\n", + " how=\"left\"\n", + ")\n", + "\n", + "for c in [\"ret_fund_m\", \"ret_bench_m\", \"active_return_m\", \"delta_rate_m\"]:\n", + " df_rel_m[c] = df_rel_m[c].fillna(0)\n", + "\n", + "df_rel_m.head()\n", + "\n", + "'''\n", + "Créer un dataset complet contenant : fsionner ala left uaane hasab rel m shufyo bkhdu inter\n", + "client + produit + performance + environnement macro.'''" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "id": "41a4ac43-9035-46f3-8cba-5ba0d88ec98a", + "metadata": {}, + "outputs": [], + "source": [ + "def weighted_mean(x, w):\n", + " x = np.asarray(x, dtype=float)\n", + " w = np.asarray(w, dtype=float)\n", + " mask = np.isfinite(x) & np.isfinite(w) & (w >= 0)\n", + " if mask.sum() == 0 or w[mask].sum() == 0:\n", + " return np.nan\n", + " return np.average(x[mask], weights=w[mask])\n", + "\n", + "def hhi_from_weights(w):\n", + " w = np.asarray(w, dtype=float)\n", + " w = np.clip(w, 0, None)\n", + " s = w.sum()\n", + " if s <= 0:\n", + " return np.nan\n", + " p = w / s\n", + " return np.sum(p**2)\n", + "\n", + "def compute_trend(y):\n", + " y = np.asarray(y, dtype=float)\n", + " if len(y) < 4:\n", + " return np.nan\n", + " x = np.arange(len(y)).reshape(-1, 1)\n", + " mask = np.isfinite(y)\n", + " if mask.sum() < 4:\n", + " return np.nan\n", + " reg = LinearRegression().fit(x[mask], y[mask])\n", + " return reg.coef_[0]\n", + "\n", + "def compute_beta(y, x):\n", + " y = np.asarray(y, dtype=float)\n", + " x = np.asarray(x, dtype=float)\n", + " mask = np.isfinite(y) & np.isfinite(x)\n", + " if mask.sum() < 6:\n", + " return np.nan\n", + " reg = LinearRegression().fit(x[mask].reshape(-1, 1), y[mask])\n", + " return reg.coef_[0]" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "id": "79facbea-b77c-4cf9-95f7-526e1dedf9b0", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "(1002117, 21)\n" + ] + }, + { + "data": { + "text/html": [ + "
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Registrar Account - IDmonthaum_qtyaum_valnet_flow_qtygross_flow_qtysub_qtyred_qtyn_txn_isin_heldn_isin_activedelta_rate_mregioncountryactive_monthflow_to_aum_mturnover_msub_share_mred_share_maum_peak_to_dateaum_drawdown
079052015-01-010.00.00.00.00.00.00.000-0.058LUXEMBOURGLUXEMBOURG00.00.00.00.00.01.0
179052015-02-010.00.00.00.00.00.00.000-0.022LUXEMBOURGLUXEMBOURG00.00.00.00.00.01.0
279052015-03-010.00.00.00.00.00.00.000-0.014LUXEMBOURGLUXEMBOURG00.00.00.00.00.01.0
379052015-04-010.00.00.00.00.00.00.000-0.077LUXEMBOURGLUXEMBOURG00.00.00.00.00.01.0
479052015-05-010.00.00.00.00.00.00.000-0.053LUXEMBOURGLUXEMBOURG00.00.00.00.00.01.0
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" + ], + "text/plain": [ + " Registrar Account - ID month aum_qty aum_val net_flow_qty \\\n", + "0 7905 2015-01-01 0.0 0.0 0.0 \n", + "1 7905 2015-02-01 0.0 0.0 0.0 \n", + "2 7905 2015-03-01 0.0 0.0 0.0 \n", + "3 7905 2015-04-01 0.0 0.0 0.0 \n", + "4 7905 2015-05-01 0.0 0.0 0.0 \n", + "\n", + " gross_flow_qty sub_qty red_qty n_tx n_isin_held n_isin_active \\\n", + "0 0.0 0.0 0.0 0.0 0 0 \n", + "1 0.0 0.0 0.0 0.0 0 0 \n", + "2 0.0 0.0 0.0 0.0 0 0 \n", + "3 0.0 0.0 0.0 0.0 0 0 \n", + "4 0.0 0.0 0.0 0.0 0 0 \n", + "\n", + " delta_rate_m region country active_month flow_to_aum_m \\\n", + "0 -0.058 LUXEMBOURG LUXEMBOURG 0 0.0 \n", + "1 -0.022 LUXEMBOURG LUXEMBOURG 0 0.0 \n", + "2 -0.014 LUXEMBOURG LUXEMBOURG 0 0.0 \n", + "3 -0.077 LUXEMBOURG LUXEMBOURG 0 0.0 \n", + "4 -0.053 LUXEMBOURG LUXEMBOURG 0 0.0 \n", + "\n", + " turnover_m sub_share_m red_share_m aum_peak_to_date aum_drawdown \n", + "0 0.0 0.0 0.0 0.0 1.0 \n", + "1 0.0 0.0 0.0 0.0 1.0 \n", + "2 0.0 0.0 0.0 0.0 1.0 \n", + "3 0.0 0.0 0.0 0.0 1.0 \n", + "4 0.0 0.0 0.0 0.0 1.0 " + ] + }, + "execution_count": 24, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# =========================\n", + "# ULTRA LIGHT VERSION\n", + "# =========================\n", + "\n", + "tmp = df_rel_m.copy()\n", + "tmp[\"isin_held_flag\"] = (tmp[\"aum_qty\"] > 0).astype(int)\n", + "tmp[\"isin_active_flag\"] = (tmp[\"gross_flow_qty\"] > 0).astype(int)\n", + "\n", + "df_month = (\n", + " tmp.groupby([ID_COL, \"month\"], as_index=False)\n", + " .agg(\n", + " aum_qty=(\"aum_qty\", \"sum\"),\n", + " aum_val=(\"aum_val\", \"sum\"),\n", + " net_flow_qty=(\"net_flow_qty\", \"sum\"),\n", + " gross_flow_qty=(\"gross_flow_qty\", \"sum\"),\n", + " sub_qty=(\"sub_qty\", \"sum\"),\n", + " red_qty=(\"red_qty\", \"sum\"),\n", + " n_tx=(\"n_tx\", \"sum\"),\n", + " n_isin_held=(\"isin_held_flag\", \"sum\"),\n", + " n_isin_active=(\"isin_active_flag\", \"sum\"),\n", + " delta_rate_m=(\"delta_rate_m\", \"first\"),\n", + " region=(\"region\", \"first\"),\n", + " country=(\"country\", \"first\"),\n", + " )\n", + " .sort_values([ID_COL, \"month\"])\n", + " .reset_index(drop=True)\n", + ")\n", + "\n", + "df_month[\"active_month\"] = (df_month[\"gross_flow_qty\"] > 0).astype(int)\n", + "df_month[\"flow_to_aum_m\"] = df_month[\"net_flow_qty\"] / (df_month[\"aum_qty\"].abs() + EPS)\n", + "df_month[\"turnover_m\"] = df_month[\"gross_flow_qty\"] / (df_month[\"aum_qty\"].abs() + EPS)\n", + "df_month[\"sub_share_m\"] = df_month[\"sub_qty\"] / (df_month[\"gross_flow_qty\"] + EPS)\n", + "df_month[\"red_share_m\"] = df_month[\"red_qty\"] / (df_month[\"gross_flow_qty\"] + EPS)\n", + "\n", + "df_month[\"aum_peak_to_date\"] = df_month.groupby(ID_COL)[\"aum_qty\"].cummax()\n", + "df_month[\"aum_drawdown\"] = 1 - (df_month[\"aum_qty\"] / (df_month[\"aum_peak_to_date\"] + EPS))\n", + "\n", + "print(df_month.shape)\n", + "df_month.head()" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "id": "1a2d234f-42f8-4cd1-b50e-7fc3f8c829d2", + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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Registrar Account - IDProduct - Isinrel_n_monthsrel_active_monthsrel_holding_monthsrel_aum_meanrel_turnover_meanrel_turnover_volrel_flow_to_aum_volrel_n_txrel_full_exit_countrel_entry_count
07905FR001013510380000.00.00.00.00.000
17905FR001014760380000.00.00.00.00.000
27905FR001014898180000.00.00.00.00.000
37905FR001014899980000.00.00.00.00.000
47905FR001014909680000.00.00.00.00.000
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" + ], + "text/plain": [ + " Registrar Account - ID Product - Isin rel_n_months rel_active_months \\\n", + "0 7905 FR0010135103 80 0 \n", + "1 7905 FR0010147603 80 0 \n", + "2 7905 FR0010148981 80 0 \n", + "3 7905 FR0010148999 80 0 \n", + "4 7905 FR0010149096 80 0 \n", + "\n", + " rel_holding_months rel_aum_mean rel_turnover_mean rel_turnover_vol \\\n", + "0 0 0.0 0.0 0.0 \n", + "1 0 0.0 0.0 0.0 \n", + "2 0 0.0 0.0 0.0 \n", + "3 0 0.0 0.0 0.0 \n", + "4 0 0.0 0.0 0.0 \n", + "\n", + " rel_flow_to_aum_vol rel_n_tx rel_full_exit_count rel_entry_count \n", + "0 0.0 0.0 0 0 \n", + "1 0.0 0.0 0 0 \n", + "2 0.0 0.0 0 0 \n", + "3 0.0 0.0 0 0 \n", + "4 0.0 0.0 0 0 " + ] + }, + "execution_count": 25, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "tmp = df_rel_m.sort_values([ID_COL, ISIN_COL, \"month\"]).copy()\n", + "tmp[\"prev_aum\"] = tmp.groupby([ID_COL, ISIN_COL])[\"aum_qty\"].shift(1)\n", + "tmp[\"full_exit_event\"] = ((tmp[\"prev_aum\"] > 0) & (tmp[\"aum_qty\"] <= 0)).astype(int)\n", + "tmp[\"entry_event\"] = ((tmp[\"prev_aum\"].fillna(0) <= 0) & (tmp[\"aum_qty\"] > 0)).astype(int)\n", + "\n", + "df_rel_feat = (\n", + " tmp.groupby([ID_COL, ISIN_COL], as_index=False)\n", + " .agg(\n", + " rel_n_months=(\"month\", \"nunique\"),\n", + " rel_active_months=(\"active_rel_month\", \"sum\"),\n", + " rel_holding_months=(\"holding_rel_month\", \"sum\"),\n", + " rel_aum_mean=(\"aum_qty\", \"mean\"),\n", + " rel_turnover_mean=(\"turnover_rel\", \"mean\"),\n", + " rel_turnover_vol=(\"turnover_rel\", \"std\"),\n", + " rel_flow_to_aum_vol=(\"flow_to_aum_rel\", \"std\"),\n", + " rel_n_tx=(\"n_tx\", \"sum\"),\n", + " rel_full_exit_count=(\"full_exit_event\", \"sum\"),\n", + " rel_entry_count=(\"entry_event\", \"sum\")\n", + " )\n", + ")\n", + "\n", + "df_rel_feat.head()" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "id": "9b61ce6a-1f54-423a-8a54-9897fe1bce20", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "(17236, 34)\n" + ] + }, + { + "data": { + "text/html": [ + "
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Registrar Account - IDn_monthsn_active_monthsflow_freqaum_qty_meanaum_qty_medianaum_qty_maxaum_qty_lastnet_flow_qty_sumgross_flow_qty_sumgross_flow_qty_meann_tx_totalnet_flow_volturnover_meanturnover_volflow_to_aum_meanflow_to_aum_volavg_n_isin_heldmax_n_isin_heldsub_share_meanred_share_meandelta_rate_meanaum_drawdown_lastaum_drawdown_maxregioncountryn_isin_totalrel_turnover_mean_avgrel_turnover_vol_avgrel_flow_to_aum_vol_avgfull_exit_countentry_countavg_holding_months_per_isinmax_holding_months_per_isin
079058000.0000000.0000000.000.000.00.0000.000.0000000.00.0000000.000000.0000000.000000.0000000.00000000.0000000.00000-0.0089251.0000001.000000LUXEMBOURGLUXEMBOURG120.000000e+000.000000e+000.000000e+00000.0000000
179128000.0000000.0000000.000.000.00.0000.000.0000000.00.0000000.000000.0000000.000000.0000000.00000000.0000000.00000-0.0089251.0000001.000000LUXEMBOURGLUXEMBOURG50.000000e+000.000000e+000.000000e+00000.0000000
279628000.0000000.0000000.000.000.00.0000.000.0000000.00.0000000.000000.0000000.000000.0000000.00000000.0000000.00000-0.0089251.0000001.000000LUXEMBOURGLUXEMBOURG40.000000e+000.000000e+000.000000e+00000.0000000
38307130770.59230822613.71083122712.9859145.06487.027252.124177077.311362.133154161.03508.4552220.049220.1083580.006480.10342711.784615160.260828-0.362240.0137230.9917660.991766SWITZERLANDSWITZERLAND294.749062e+093.095092e+103.095092e+10273152.827586130
483546400.0000000.0000000.000.000.00.0000.000.0000000.00.0000000.000000.0000000.000000.0000000.00000000.0000000.00000-0.0100631.0000001.000000SWITZERLANDSWITZERLAND10.000000e+000.000000e+000.000000e+00000.0000000
\n", + "
" + ], + "text/plain": [ + " Registrar Account - ID n_months n_active_months flow_freq aum_qty_mean \\\n", + "0 7905 80 0 0.000000 0.000000 \n", + "1 7912 80 0 0.000000 0.000000 \n", + "2 7962 80 0 0.000000 0.000000 \n", + "3 8307 130 77 0.592308 22613.710831 \n", + "4 8354 64 0 0.000000 0.000000 \n", + "\n", + " aum_qty_median aum_qty_max aum_qty_last net_flow_qty_sum \\\n", + "0 0.00 0.00 0.0 0.000 \n", + "1 0.00 0.00 0.0 0.000 \n", + "2 0.00 0.00 0.0 0.000 \n", + "3 22712.98 59145.06 487.0 27252.124 \n", + "4 0.00 0.00 0.0 0.000 \n", + "\n", + " gross_flow_qty_sum gross_flow_qty_mean n_tx_total net_flow_vol \\\n", + "0 0.00 0.000000 0.0 0.000000 \n", + "1 0.00 0.000000 0.0 0.000000 \n", + "2 0.00 0.000000 0.0 0.000000 \n", + "3 177077.31 1362.133154 161.0 3508.455222 \n", + "4 0.00 0.000000 0.0 0.000000 \n", + "\n", + " turnover_mean turnover_vol flow_to_aum_mean flow_to_aum_vol \\\n", + "0 0.00000 0.000000 0.00000 0.000000 \n", + "1 0.00000 0.000000 0.00000 0.000000 \n", + "2 0.00000 0.000000 0.00000 0.000000 \n", + "3 0.04922 0.108358 0.00648 0.103427 \n", + "4 0.00000 0.000000 0.00000 0.000000 \n", + "\n", + " avg_n_isin_held max_n_isin_held sub_share_mean red_share_mean \\\n", + "0 0.000000 0 0.000000 0.00000 \n", + "1 0.000000 0 0.000000 0.00000 \n", + "2 0.000000 0 0.000000 0.00000 \n", + "3 11.784615 16 0.260828 -0.36224 \n", + "4 0.000000 0 0.000000 0.00000 \n", + "\n", + " delta_rate_mean aum_drawdown_last aum_drawdown_max region \\\n", + "0 -0.008925 1.000000 1.000000 LUXEMBOURG \n", + "1 -0.008925 1.000000 1.000000 LUXEMBOURG \n", + "2 -0.008925 1.000000 1.000000 LUXEMBOURG \n", + "3 0.013723 0.991766 0.991766 SWITZERLAND \n", + "4 -0.010063 1.000000 1.000000 SWITZERLAND \n", + "\n", + " country n_isin_total rel_turnover_mean_avg rel_turnover_vol_avg \\\n", + "0 LUXEMBOURG 12 0.000000e+00 0.000000e+00 \n", + "1 LUXEMBOURG 5 0.000000e+00 0.000000e+00 \n", + "2 LUXEMBOURG 4 0.000000e+00 0.000000e+00 \n", + "3 SWITZERLAND 29 4.749062e+09 3.095092e+10 \n", + "4 SWITZERLAND 1 0.000000e+00 0.000000e+00 \n", + "\n", + " rel_flow_to_aum_vol_avg full_exit_count entry_count \\\n", + "0 0.000000e+00 0 0 \n", + "1 0.000000e+00 0 0 \n", + "2 0.000000e+00 0 0 \n", + "3 3.095092e+10 27 31 \n", + "4 0.000000e+00 0 0 \n", + "\n", + " avg_holding_months_per_isin max_holding_months_per_isin \n", + "0 0.000000 0 \n", + "1 0.000000 0 \n", + "2 0.000000 0 \n", + "3 52.827586 130 \n", + "4 0.000000 0 " + ] + }, + "execution_count": 26, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df_rel_client = (\n", + " df_rel_feat\n", + " .groupby(ID_COL, as_index=False)\n", + " .agg(\n", + " n_isin_total=(ISIN_COL, \"nunique\"),\n", + " rel_turnover_mean_avg=(\"rel_turnover_mean\", \"mean\"),\n", + " rel_turnover_vol_avg=(\"rel_turnover_vol\", \"mean\"),\n", + " rel_flow_to_aum_vol_avg=(\"rel_flow_to_aum_vol\", \"mean\"),\n", + " full_exit_count=(\"rel_full_exit_count\", \"sum\"),\n", + " entry_count=(\"rel_entry_count\", \"sum\"),\n", + " avg_holding_months_per_isin=(\"rel_holding_months\", \"mean\"),\n", + " max_holding_months_per_isin=(\"rel_holding_months\", \"max\")\n", + " )\n", + ")\n", + "\n", + "df_client = (\n", + " df_month\n", + " .groupby(ID_COL, as_index=False)\n", + " .agg(\n", + " n_months=(\"month\", \"nunique\"),\n", + " n_active_months=(\"active_month\", \"sum\"),\n", + " flow_freq=(\"active_month\", \"mean\"),\n", + "\n", + " aum_qty_mean=(\"aum_qty\", \"mean\"),\n", + " aum_qty_median=(\"aum_qty\", \"median\"),\n", + " aum_qty_max=(\"aum_qty\", \"max\"),\n", + " aum_qty_last=(\"aum_qty\", \"last\"),\n", + "\n", + " net_flow_qty_sum=(\"net_flow_qty\", \"sum\"),\n", + " gross_flow_qty_sum=(\"gross_flow_qty\", \"sum\"),\n", + " gross_flow_qty_mean=(\"gross_flow_qty\", \"mean\"),\n", + " n_tx_total=(\"n_tx\", \"sum\"),\n", + "\n", + " net_flow_vol=(\"net_flow_qty\", \"std\"),\n", + " turnover_mean=(\"turnover_m\", \"mean\"),\n", + " turnover_vol=(\"turnover_m\", \"std\"),\n", + " flow_to_aum_mean=(\"flow_to_aum_m\", \"mean\"),\n", + " flow_to_aum_vol=(\"flow_to_aum_m\", \"std\"),\n", + "\n", + " avg_n_isin_held=(\"n_isin_held\", \"mean\"),\n", + " max_n_isin_held=(\"n_isin_held\", \"max\"),\n", + "\n", + " sub_share_mean=(\"sub_share_m\", \"mean\"),\n", + " red_share_mean=(\"red_share_m\", \"mean\"),\n", + "\n", + " delta_rate_mean=(\"delta_rate_m\", \"mean\"),\n", + " aum_drawdown_last=(\"aum_drawdown\", \"last\"),\n", + " aum_drawdown_max=(\"aum_drawdown\", \"max\"),\n", + "\n", + " region=(\"region\", \"last\"),\n", + " country=(\"country\", \"last\")\n", + " )\n", + ")\n", + "\n", + "df_client = df_client.merge(df_rel_client, on=ID_COL, how=\"left\")\n", + "\n", + "print(df_client.shape)\n", + "df_client.head()" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "id": "48d1b22b-f0ca-448e-a330-6b7d64fe48b3", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Index(['Registrar Account - ID', 'n_months', 'n_active_months', 'flow_freq',\n", + " 'aum_qty_mean', 'aum_qty_median', 'aum_qty_max', 'aum_qty_last',\n", + " 'net_flow_qty_sum', 'gross_flow_qty_sum', 'gross_flow_qty_mean',\n", + " 'n_tx_total', 'net_flow_vol', 'turnover_mean', 'turnover_vol',\n", + " 'flow_to_aum_mean', 'flow_to_aum_vol', 'avg_n_isin_held',\n", + " 'max_n_isin_held', 'sub_share_mean', 'red_share_mean',\n", + " 'delta_rate_mean', 'aum_drawdown_last', 'aum_drawdown_max', 'region',\n", + " 'country', 'n_isin_total', 'rel_turnover_mean_avg',\n", + " 'rel_turnover_vol_avg', 'rel_flow_to_aum_vol_avg', 'full_exit_count',\n", + " 'entry_count', 'avg_holding_months_per_isin',\n", + " 'max_holding_months_per_isin'],\n", + " dtype='object')" + ] + }, + "execution_count": 27, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df_client.columns" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "id": "a9b34e2b-503f-41a1-9629-670ceb7615ba", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(17236, 34)" + ] + }, + "execution_count": 28, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df_client.shape" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "id": "934507d6-8aaf-43e2-8a2d-d6cfea0b6af1", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "(17236, 38)\n" + ] + }, + { + "data": { + "text/html": [ + "
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Registrar Account - IDn_monthsn_active_monthsflow_freqaum_qty_meanaum_qty_medianaum_qty_maxaum_qty_lastnet_flow_qty_sumgross_flow_qty_sumgross_flow_qty_meann_tx_totalnet_flow_volturnover_meanturnover_volflow_to_aum_meanflow_to_aum_volavg_n_isin_heldmax_n_isin_heldsub_share_meanred_share_meandelta_rate_meanaum_drawdown_lastaum_drawdown_maxregioncountryn_isin_totalrel_turnover_mean_avgrel_turnover_vol_avgrel_flow_to_aum_vol_avgfull_exit_countentry_countavg_holding_months_per_isinmax_holding_months_per_isinflow_trend_12maum_trend_12mdrawdown_trend_12mbeta_rate
079058000.0000000.0000000.000.000.00.0000.000.0000000.00.0000000.000000.0000000.000000.0000000.00000000.0000000.00000-0.0089251.0000001.000000LUXEMBOURGLUXEMBOURG120.000000e+000.000000e+000.000000e+00000.00000000.0000000.0000000.0000000.000000
179128000.0000000.0000000.000.000.00.0000.000.0000000.00.0000000.000000.0000000.000000.0000000.00000000.0000000.00000-0.0089251.0000001.000000LUXEMBOURGLUXEMBOURG50.000000e+000.000000e+000.000000e+00000.00000000.0000000.0000000.0000000.000000
279628000.0000000.0000000.000.000.00.0000.000.0000000.00.0000000.000000.0000000.000000.0000000.00000000.0000000.00000-0.0089251.0000001.000000LUXEMBOURGLUXEMBOURG40.000000e+000.000000e+000.000000e+00000.00000000.0000000.0000000.0000000.000000
38307130770.59230822613.71083122712.9859145.06487.027252.124177077.311362.133154161.03508.4552220.049220.1083580.006480.10342711.784615160.260828-0.362240.0137230.9917660.991766SWITZERLANDSWITZERLAND294.749062e+093.095092e+103.095092e+10273152.827586130-0.003463-1142.5874130.019318-0.069433
483546400.0000000.0000000.000.000.00.0000.000.0000000.00.0000000.000000.0000000.000000.0000000.00000000.0000000.00000-0.0100631.0000001.000000SWITZERLANDSWITZERLAND10.000000e+000.000000e+000.000000e+00000.00000000.0000000.0000000.0000000.000000
\n", + "
" + ], + "text/plain": [ + " Registrar Account - ID n_months n_active_months flow_freq aum_qty_mean \\\n", + "0 7905 80 0 0.000000 0.000000 \n", + "1 7912 80 0 0.000000 0.000000 \n", + "2 7962 80 0 0.000000 0.000000 \n", + "3 8307 130 77 0.592308 22613.710831 \n", + "4 8354 64 0 0.000000 0.000000 \n", + "\n", + " aum_qty_median aum_qty_max aum_qty_last net_flow_qty_sum \\\n", + "0 0.00 0.00 0.0 0.000 \n", + "1 0.00 0.00 0.0 0.000 \n", + "2 0.00 0.00 0.0 0.000 \n", + "3 22712.98 59145.06 487.0 27252.124 \n", + "4 0.00 0.00 0.0 0.000 \n", + "\n", + " gross_flow_qty_sum gross_flow_qty_mean n_tx_total net_flow_vol \\\n", + "0 0.00 0.000000 0.0 0.000000 \n", + "1 0.00 0.000000 0.0 0.000000 \n", + "2 0.00 0.000000 0.0 0.000000 \n", + "3 177077.31 1362.133154 161.0 3508.455222 \n", + "4 0.00 0.000000 0.0 0.000000 \n", + "\n", + " turnover_mean turnover_vol flow_to_aum_mean flow_to_aum_vol \\\n", + "0 0.00000 0.000000 0.00000 0.000000 \n", + "1 0.00000 0.000000 0.00000 0.000000 \n", + "2 0.00000 0.000000 0.00000 0.000000 \n", + "3 0.04922 0.108358 0.00648 0.103427 \n", + "4 0.00000 0.000000 0.00000 0.000000 \n", + "\n", + " avg_n_isin_held max_n_isin_held sub_share_mean red_share_mean \\\n", + "0 0.000000 0 0.000000 0.00000 \n", + "1 0.000000 0 0.000000 0.00000 \n", + "2 0.000000 0 0.000000 0.00000 \n", + "3 11.784615 16 0.260828 -0.36224 \n", + "4 0.000000 0 0.000000 0.00000 \n", + "\n", + " delta_rate_mean aum_drawdown_last aum_drawdown_max region \\\n", + "0 -0.008925 1.000000 1.000000 LUXEMBOURG \n", + "1 -0.008925 1.000000 1.000000 LUXEMBOURG \n", + "2 -0.008925 1.000000 1.000000 LUXEMBOURG \n", + "3 0.013723 0.991766 0.991766 SWITZERLAND \n", + "4 -0.010063 1.000000 1.000000 SWITZERLAND \n", + "\n", + " country n_isin_total rel_turnover_mean_avg rel_turnover_vol_avg \\\n", + "0 LUXEMBOURG 12 0.000000e+00 0.000000e+00 \n", + "1 LUXEMBOURG 5 0.000000e+00 0.000000e+00 \n", + "2 LUXEMBOURG 4 0.000000e+00 0.000000e+00 \n", + "3 SWITZERLAND 29 4.749062e+09 3.095092e+10 \n", + "4 SWITZERLAND 1 0.000000e+00 0.000000e+00 \n", + "\n", + " rel_flow_to_aum_vol_avg full_exit_count entry_count \\\n", + "0 0.000000e+00 0 0 \n", + "1 0.000000e+00 0 0 \n", + "2 0.000000e+00 0 0 \n", + "3 3.095092e+10 27 31 \n", + "4 0.000000e+00 0 0 \n", + "\n", + " avg_holding_months_per_isin max_holding_months_per_isin flow_trend_12m \\\n", + "0 0.000000 0 0.000000 \n", + "1 0.000000 0 0.000000 \n", + "2 0.000000 0 0.000000 \n", + "3 52.827586 130 -0.003463 \n", + "4 0.000000 0 0.000000 \n", + "\n", + " aum_trend_12m drawdown_trend_12m beta_rate \n", + "0 0.000000 0.000000 0.000000 \n", + "1 0.000000 0.000000 0.000000 \n", + "2 0.000000 0.000000 0.000000 \n", + "3 -1142.587413 0.019318 -0.069433 \n", + "4 0.000000 0.000000 0.000000 " + ] + }, + "execution_count": 29, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "def compute_trend(y):\n", + " y = np.asarray(y, dtype=float)\n", + " if len(y) < 4:\n", + " return np.nan\n", + " x = np.arange(len(y)).reshape(-1, 1)\n", + " mask = np.isfinite(y)\n", + " if mask.sum() < 4:\n", + " return np.nan\n", + " reg = LinearRegression().fit(x[mask], y[mask])\n", + " return reg.coef_[0]\n", + "\n", + "def compute_beta(y, x):\n", + " y = np.asarray(y, dtype=float)\n", + " x = np.asarray(x, dtype=float)\n", + " mask = np.isfinite(y) & np.isfinite(x)\n", + " if mask.sum() < 6:\n", + " return np.nan\n", + " reg = LinearRegression().fit(x[mask].reshape(-1, 1), y[mask])\n", + " return reg.coef_[0]\n", + "\n", + "rows = []\n", + "\n", + "for acc, g in df_month.groupby(ID_COL):\n", + " g = g.sort_values(\"month\")\n", + "\n", + " flow = g[\"flow_to_aum_m\"].values\n", + " aum = g[\"aum_qty\"].values\n", + " delta_rate = g[\"delta_rate_m\"].values\n", + " drawdown = g[\"aum_drawdown\"].values\n", + "\n", + " rows.append({\n", + " ID_COL: acc,\n", + " \"flow_trend_12m\": compute_trend(flow[-12:]),\n", + " \"aum_trend_12m\": compute_trend(aum[-12:]),\n", + " \"drawdown_trend_12m\": compute_trend(drawdown[-12:]),\n", + " \"beta_rate\": compute_beta(flow, delta_rate),\n", + " })\n", + "\n", + "df_beta = pd.DataFrame(rows)\n", + "\n", + "df_client = df_client.merge(df_beta, on=ID_COL, how=\"left\")\n", + "\n", + "print(df_client.shape)\n", + "df_client.head()" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "id": "3f78e685-b3e7-4c02-81d2-fc480d524814", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Nb clients = 9656\n", + "Nb features = 34\n", + "['log_aum_qty_mean', 'flow_freq', 'gross_flow_to_aum', 'turnover_vol', 'flow_to_aum_vol', 'activity_intensity', 'log_n_tx_total', 'avg_n_isin_held', 'n_isin_total', 'avg_holding_months_per_isin', 'exit_rate_per_isin', 'flow_direction_balance', 'redemption_bias', 'aum_drawdown_last', 'country_grp_FRANCE', 'country_grp_GERMANY', 'country_grp_ITALY', 'country_grp_LATAM', 'country_grp_LUXEMBOURG', 'country_grp_Other', 'country_grp_SPAIN', 'country_grp_SWITZERLAND', 'country_grp_UNITED KINGDOM', 'country_grp_UNITED STATES', 'region_grp_FRANCE', 'region_grp_GERMANY', 'region_grp_ITALY', 'region_grp_LATAM', 'region_grp_LUXEMBOURG', 'region_grp_NORDICS', 'region_grp_Other', 'region_grp_SPAIN', 'region_grp_SWITZERLAND', 'region_grp_UNITED KINGDOM']\n" + ] + } + ], + "source": [ + "dfc = df_client.copy()\n", + "\n", + "dfc[\"gross_flow_to_aum\"] = dfc[\"gross_flow_qty_sum\"] / (dfc[\"aum_qty_mean\"].abs() + EPS)\n", + "dfc[\"avg_ticket\"] = dfc[\"gross_flow_qty_sum\"] / (dfc[\"n_tx_total\"] + EPS)\n", + "dfc[\"flow_direction_balance\"] = dfc[\"net_flow_qty_sum\"] / (dfc[\"gross_flow_qty_sum\"] + EPS)\n", + "dfc[\"redemption_bias\"] = dfc[\"red_share_mean\"] - dfc[\"sub_share_mean\"]\n", + "dfc[\"activity_intensity\"] = dfc[\"n_tx_total\"] / (dfc[\"n_months\"] + EPS)\n", + "dfc[\"exit_rate_per_isin\"] = dfc[\"full_exit_count\"] / (dfc[\"n_isin_total\"] + EPS)\n", + "dfc[\"entry_rate_per_isin\"] = dfc[\"entry_count\"] / (dfc[\"n_isin_total\"] + EPS)\n", + "dfc[\"aum_final_to_peak\"] = dfc[\"aum_qty_last\"] / (dfc[\"aum_qty_max\"] + EPS)\n", + "\n", + "for col in [\"aum_qty_mean\", \"gross_flow_qty_sum\", \"n_tx_total\", \"avg_ticket\"]:\n", + " dfc[f\"log_{col}\"] = np.log1p(dfc[col].clip(lower=0))\n", + "\n", + "dfc = dfc[(dfc[\"n_months\"] >= 6) & (dfc[\"aum_qty_mean\"] > 0)].copy()\n", + "\n", + "top_countries = dfc[\"country\"].fillna(\"Unknown\").value_counts().head(10).index\n", + "top_regions = dfc[\"region\"].fillna(\"Unknown\").value_counts().head(10).index\n", + "\n", + "dfc[\"country_grp\"] = np.where(dfc[\"country\"].isin(top_countries), dfc[\"country\"], \"Other\")\n", + "dfc[\"region_grp\"] = np.where(dfc[\"region\"].isin(top_regions), dfc[\"region\"], \"Other\")\n", + "\n", + "base_features = [\n", + " \"log_aum_qty_mean\",\n", + " \"flow_freq\",\n", + " \"gross_flow_to_aum\",\n", + " \"turnover_vol\",\n", + " \"flow_to_aum_vol\",\n", + " \"activity_intensity\",\n", + " \"log_n_tx_total\",\n", + " \"avg_n_isin_held\",\n", + " \"n_isin_total\",\n", + " \"avg_holding_months_per_isin\",\n", + " \"exit_rate_per_isin\",\n", + " \"flow_direction_balance\",\n", + " \"redemption_bias\",\n", + " \"aum_drawdown_last\",\n", + "]\n", + "\n", + "base_features = [c for c in base_features if c in dfc.columns]\n", + "\n", + "X_num = dfc[base_features].replace([np.inf, -np.inf], np.nan).fillna(dfc[base_features].median())\n", + "X_cat = pd.get_dummies(dfc[[\"country_grp\", \"region_grp\"]].fillna(\"Unknown\"), drop_first=True)\n", + "\n", + "X = pd.concat([X_num.reset_index(drop=True), X_cat.reset_index(drop=True)], axis=1)\n", + "\n", + "scaler = RobustScaler()\n", + "X_scaled = scaler.fit_transform(X)\n", + "\n", + "print(\"Nb clients =\", X.shape[0])\n", + "print(\"Nb features =\", X.shape[1])\n", + "print(X.columns.tolist())" + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "id": "7e865952-a1d2-4f39-bbbc-306c8ed7857c", + "metadata": {}, + "outputs": 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kinertiasilhouettedavies_bouldin
014.524683e+27NaNNaN
125.112656e+260.9995500.261256
232.261592e+260.9994090.421666
341.116792e+260.9994300.246382
454.183978e+250.9990750.293760
562.520739e+250.9990650.338481
671.141968e+250.9989600.257299
785.503246e+240.9989340.138057
891.305120e+240.9988010.064579
9105.648568e+230.9986940.126169
\n", + "
" + ], + "text/plain": [ + " k inertia silhouette davies_bouldin\n", + "0 1 4.524683e+27 NaN NaN\n", + "1 2 5.112656e+26 0.999550 0.261256\n", + "2 3 2.261592e+26 0.999409 0.421666\n", + "3 4 1.116792e+26 0.999430 0.246382\n", + "4 5 4.183978e+25 0.999075 0.293760\n", + "5 6 2.520739e+25 0.999065 0.338481\n", + "6 7 1.141968e+25 0.998960 0.257299\n", + "7 8 5.503246e+24 0.998934 0.138057\n", + "8 9 1.305120e+24 0.998801 0.064579\n", + "9 10 5.648568e+23 0.998694 0.126169" + ] + }, + "execution_count": 32, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "rows = []\n", + "\n", + "for k in range(1, 11):\n", + " km = KMeans(n_clusters=k, n_init=50, random_state=42)\n", + " labels = km.fit_predict(X_scaled)\n", + "\n", + " row = {\n", + " \"k\": k,\n", + " \"inertia\": km.inertia_\n", + " }\n", + "\n", + " if k >= 2:\n", + " row[\"silhouette\"] = silhouette_score(X_scaled, labels)\n", + " row[\"davies_bouldin\"] = davies_bouldin_score(X_scaled, labels)\n", + " else:\n", + " row[\"silhouette\"] = np.nan\n", + " row[\"davies_bouldin\"] = np.nan\n", + "\n", + " rows.append(row)\n", + "\n", + "df_kdiag = pd.DataFrame(rows)\n", + "df_kdiag" + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "id": "04c350be-d871-4de8-93d6-3775d78e4725", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, axes = plt.subplots(1, 3, figsize=(16, 4))\n", + "\n", + "axes[0].plot(df_kdiag[\"k\"], df_kdiag[\"inertia\"], marker=\"o\")\n", + "axes[0].set_title(\"Elbow / Inertia\")\n", + "axes[0].set_xlabel(\"K\")\n", + "\n", + "axes[1].plot(df_kdiag[\"k\"], df_kdiag[\"silhouette\"], marker=\"o\")\n", + "axes[1].set_title(\"Silhouette\")\n", + "axes[1].set_xlabel(\"K\")\n", + "\n", + "axes[2].plot(df_kdiag[\"k\"], df_kdiag[\"davies_bouldin\"], marker=\"o\")\n", + "axes[2].set_title(\"Davies-Bouldin\")\n", + "axes[2].set_xlabel(\"K\")\n", + "\n", + "plt.tight_layout()\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "id": "a7249fea-2ad6-4d32-af6f-c9a234cbfe1c", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "K=2 | silhouette=0.9996 | davies_bouldin=0.2613\n", + "K=5 | silhouette=0.9991 | davies_bouldin=0.2938\n", + "K=10 | silhouette=0.9987 | davies_bouldin=0.1262\n" + ] + } + ], + "source": [ + "RESULTS = {}\n", + "\n", + "for k in [2, 5, 10]:\n", + " km = KMeans(n_clusters=k, n_init=50, random_state=42)\n", + " labels = km.fit_predict(X_scaled)\n", + " dfc[f\"cluster_k{k}\"] = labels\n", + "\n", + " RESULTS[k] = {\n", + " \"model\": km,\n", + " \"labels\": labels,\n", + " \"silhouette\": silhouette_score(X_scaled, labels),\n", + " \"davies_bouldin\": davies_bouldin_score(X_scaled, labels)\n", + " }\n", + "\n", + "for k in [2, 5, 10]:\n", + " print(f\"K={k} | silhouette={RESULTS[k]['silhouette']:.4f} | davies_bouldin={RESULTS[k]['davies_bouldin']:.4f}\")" + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "id": "0dd70e26-f831-4140-8815-eebb40c9aba7", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "===== K=2 =====\n" + ] + }, + { + "data": { + "text/html": [ + "
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" + ], + "text/plain": [ + " n_clients aum_qty_mean_med gross_flow_to_aum_med flow_freq_med \\\n", + "cluster_k2 \n", + "0 9651 200.835000 2.524501 0.058824 \n", + "1 5 75884.615385 4.651799 0.094595 \n", + "\n", + " n_tx_total_med avg_n_isin_held_med n_isin_total_med \\\n", + "cluster_k2 \n", + "0 2.0 0.683333 2.0 \n", + "1 11.0 1.000000 1.0 \n", + "\n", + " avg_holding_months_per_isin_med exit_rate_per_isin_med \\\n", + "cluster_k2 \n", + "0 14.0 1.000000 \n", + "1 36.0 0.666667 \n", + "\n", + " flow_direction_balance_med redemption_bias_med \\\n", + "cluster_k2 \n", + "0 0.000000 -5.714286e-02 \n", + "1 0.208726 -4.423077e+12 \n", + "\n", + " aum_drawdown_last_med aum_final_to_peak_med \n", + "cluster_k2 \n", + "0 1.000000 0.000000 \n", + "1 0.964708 0.035292 " + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "===== K=5 =====\n" + ] + }, + { + "data": { + "text/html": [ + "
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n_clientsaum_qty_mean_medgross_flow_to_aum_medflow_freq_medn_tx_total_medavg_n_isin_held_medn_isin_total_medavg_holding_months_per_isin_medexit_rate_per_isin_medflow_direction_balance_medredemption_bias_medaum_drawdown_last_medaum_final_to_peak_med
cluster_k5
09649200.7299722.5245010.0588242.00.6833332.014.0000001.0000000.000000-5.714286e-021.0000000.000000
1294722.7576835.7845780.07037410.00.5867982.035.1666671.5000000.001110-4.646436e+121.0000000.000000
22116019.8622504.3268500.0826397.51.1687502.035.8333330.3333330.682622-2.943535e+120.4823540.517646
42152151.7986433.4171150.0521497.51.3815613.045.7500000.8750000.199417-9.113122e+110.9400680.059932
3175884.6153854.6517990.28205115.01.0000001.039.0000000.0000000.201133-6.666667e+120.6853150.314685
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" + ], + "text/plain": [ + " n_clients aum_qty_mean_med gross_flow_to_aum_med flow_freq_med \\\n", + "cluster_k5 \n", + "0 9649 200.729972 2.524501 0.058824 \n", + "1 2 94722.757683 5.784578 0.070374 \n", + "2 2 116019.862250 4.326850 0.082639 \n", + "4 2 152151.798643 3.417115 0.052149 \n", + "3 1 75884.615385 4.651799 0.282051 \n", + "\n", + " n_tx_total_med avg_n_isin_held_med n_isin_total_med \\\n", + "cluster_k5 \n", + "0 2.0 0.683333 2.0 \n", + "1 10.0 0.586798 2.0 \n", + "2 7.5 1.168750 2.0 \n", + "4 7.5 1.381561 3.0 \n", + "3 15.0 1.000000 1.0 \n", + "\n", + " avg_holding_months_per_isin_med exit_rate_per_isin_med \\\n", + "cluster_k5 \n", + "0 14.000000 1.000000 \n", + "1 35.166667 1.500000 \n", + "2 35.833333 0.333333 \n", + "4 45.750000 0.875000 \n", + "3 39.000000 0.000000 \n", + "\n", + " flow_direction_balance_med redemption_bias_med \\\n", + "cluster_k5 \n", + "0 0.000000 -5.714286e-02 \n", + "1 0.001110 -4.646436e+12 \n", + "2 0.682622 -2.943535e+12 \n", + "4 0.199417 -9.113122e+11 \n", + "3 0.201133 -6.666667e+12 \n", + "\n", + " aum_drawdown_last_med aum_final_to_peak_med \n", + "cluster_k5 \n", + "0 1.000000 0.000000 \n", + "1 1.000000 0.000000 \n", + "2 0.482354 0.517646 \n", + "4 0.940068 0.059932 \n", + "3 0.685315 0.314685 " + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "===== K=10 =====\n" + ] + }, + { + "data": { + "text/html": [ + "
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n_clientsaum_qty_mean_medgross_flow_to_aum_medflow_freq_medn_tx_total_medavg_n_isin_held_medn_isin_total_medavg_holding_months_per_isin_medexit_rate_per_isin_medflow_direction_balance_medredemption_bias_medaum_drawdown_last_medaum_final_to_peak_med
cluster_k10
09639200.6443852.5281020.0588242.00.6833332.014.0000001.0000000.000000-5.667766e-021.000000e+000.000000
6711281.4875001.6466800.0560007.00.6375003.043.2222221.000000-0.260413-2.225352e+111.000000e+000.000000
9316597.2868222.3489490.0155043.00.7519381.046.0000000.333333-0.547161-6.525000e+101.000000e+000.000000
1140190.1384627.3298080.04615411.00.5384623.023.3333331.000000-0.206507-4.423077e+121.000000e+000.000000
2175884.6153854.6517990.28205115.01.0000001.039.0000000.0000000.201133-6.666667e+126.853147e-010.314685
3120646.9370001.0000000.0277782.01.0000001.036.0000000.0000001.000000-3.347944e+124.840572e-141.000000
51211392.7875007.6537000.13750013.01.3375003.035.6666670.6666670.365245-2.539125e+129.647075e-010.035292
41152961.5384624.4913250.0307696.01.6307694.053.0000000.750000-0.149927-6.461538e+118.801370e-010.119863
71151342.0588242.3429050.0735299.01.1323532.038.5000001.0000000.548762-1.176471e+121.000000e+000.000000
81149255.3769054.2393480.0945959.00.6351351.047.0000002.0000000.208726-4.869795e+121.000000e+000.000000
\n", + "
" + ], + "text/plain": [ + " n_clients aum_qty_mean_med gross_flow_to_aum_med \\\n", + "cluster_k10 \n", + "0 9639 200.644385 2.528102 \n", + "6 7 11281.487500 1.646680 \n", + "9 3 16597.286822 2.348949 \n", + "1 1 40190.138462 7.329808 \n", + "2 1 75884.615385 4.651799 \n", + "3 1 20646.937000 1.000000 \n", + "5 1 211392.787500 7.653700 \n", + "4 1 152961.538462 4.491325 \n", + "7 1 151342.058824 2.342905 \n", + "8 1 149255.376905 4.239348 \n", + "\n", + " flow_freq_med n_tx_total_med avg_n_isin_held_med \\\n", + "cluster_k10 \n", + "0 0.058824 2.0 0.683333 \n", + "6 0.056000 7.0 0.637500 \n", + "9 0.015504 3.0 0.751938 \n", + "1 0.046154 11.0 0.538462 \n", + "2 0.282051 15.0 1.000000 \n", + "3 0.027778 2.0 1.000000 \n", + "5 0.137500 13.0 1.337500 \n", + "4 0.030769 6.0 1.630769 \n", + "7 0.073529 9.0 1.132353 \n", + "8 0.094595 9.0 0.635135 \n", + "\n", + " n_isin_total_med avg_holding_months_per_isin_med \\\n", + "cluster_k10 \n", + "0 2.0 14.000000 \n", + "6 3.0 43.222222 \n", + "9 1.0 46.000000 \n", + "1 3.0 23.333333 \n", + "2 1.0 39.000000 \n", + "3 1.0 36.000000 \n", + "5 3.0 35.666667 \n", + "4 4.0 53.000000 \n", + "7 2.0 38.500000 \n", + "8 1.0 47.000000 \n", + "\n", + " exit_rate_per_isin_med flow_direction_balance_med \\\n", + "cluster_k10 \n", + "0 1.000000 0.000000 \n", + "6 1.000000 -0.260413 \n", + "9 0.333333 -0.547161 \n", + "1 1.000000 -0.206507 \n", + "2 0.000000 0.201133 \n", + "3 0.000000 1.000000 \n", + "5 0.666667 0.365245 \n", + "4 0.750000 -0.149927 \n", + "7 1.000000 0.548762 \n", + "8 2.000000 0.208726 \n", + "\n", + " redemption_bias_med aum_drawdown_last_med aum_final_to_peak_med \n", + "cluster_k10 \n", + "0 -5.667766e-02 1.000000e+00 0.000000 \n", + "6 -2.225352e+11 1.000000e+00 0.000000 \n", + "9 -6.525000e+10 1.000000e+00 0.000000 \n", + "1 -4.423077e+12 1.000000e+00 0.000000 \n", + "2 -6.666667e+12 6.853147e-01 0.314685 \n", + "3 -3.347944e+12 4.840572e-14 1.000000 \n", + "5 -2.539125e+12 9.647075e-01 0.035292 \n", + "4 -6.461538e+11 8.801370e-01 0.119863 \n", + "7 -1.176471e+12 1.000000e+00 0.000000 \n", + "8 -4.869795e+12 1.000000e+00 0.000000 " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "profile_vars = [\n", + " \"aum_qty_mean\",\n", + " \"gross_flow_to_aum\",\n", + " \"flow_freq\",\n", + " \"n_tx_total\",\n", + " \"avg_n_isin_held\",\n", + " \"n_isin_total\",\n", + " \"avg_holding_months_per_isin\",\n", + " \"exit_rate_per_isin\",\n", + " \"flow_direction_balance\",\n", + " \"redemption_bias\",\n", + " \"aum_drawdown_last\",\n", + " \"aum_final_to_peak\",\n", + "]\n", + "\n", + "profile_vars = [c for c in profile_vars if c in dfc.columns]\n", + "\n", + "for k in [2, 5, 10]:\n", + " print(f\"\\n===== K={k} =====\")\n", + " prof = (\n", + " dfc.groupby(f\"cluster_k{k}\")\n", + " .agg(\n", + " n_clients=(ID_COL, \"count\"),\n", + " **{f\"{c}_med\": (c, \"median\") for c in profile_vars}\n", + " )\n", + " .sort_values(\"n_clients\", ascending=False)\n", + " )\n", + " display(prof)" + ] + }, + { + "cell_type": "code", + "execution_count": 36, + "id": "9368ab73-fd28-4b0e-9a8a-17b860cbf6d4", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", 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", 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "def robust_zscore_col(s):\n", + " med = np.nanmedian(s)\n", + " mad = np.nanmedian(np.abs(s - med))\n", + " if mad == 0 or np.isnan(mad):\n", + " return np.zeros(len(s))\n", + " return (s - med) / (1.4826 * mad)\n", + "\n", + "for k in [2, 5, 10]:\n", + " prof = dfc.groupby(f\"cluster_k{k}\")[profile_vars].median()\n", + " prof_z = prof.copy()\n", + "\n", + " for c in prof.columns:\n", + " prof_z[c] = robust_zscore_col(prof[c].values)\n", + "\n", + " plt.figure(figsize=(14, 4))\n", + " sns.heatmap(prof_z, cmap=\"RdBu_r\", center=0)\n", + " plt.title(f\"Cluster signatures — K={k}\")\n", + " plt.tight_layout()\n", + " plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "id": "6e7fa1e2-cec7-41be-943f-d06b25e1e175", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", 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", 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "def plot_distance_matrix_sorted(X_scaled, labels, max_points=400, title=\"Distance matrix\"):\n", + " n = X_scaled.shape[0]\n", + " idx = np.arange(n)\n", + "\n", + " if n > max_points:\n", + " rng = np.random.default_rng(42)\n", + " idx = rng.choice(idx, size=max_points, replace=False)\n", + "\n", + " X_sub = X_scaled[idx]\n", + " labels_sub = np.asarray(labels)[idx]\n", + "\n", + " order = np.lexsort((np.arange(len(labels_sub)), labels_sub))\n", + " X_sub = X_sub[order]\n", + "\n", + " D = pairwise_distances(X_sub)\n", + "\n", + " plt.figure(figsize=(8, 7))\n", + " sns.heatmap(D, cmap=\"viridis\")\n", + " plt.title(title)\n", + " plt.tight_layout()\n", + " plt.show()\n", + "\n", + "for k in [2, 5, 10]:\n", + " plot_distance_matrix_sorted(\n", + " X_scaled,\n", + " dfc[f\"cluster_k{k}\"].values,\n", + " title=f\"Distance matrix triée — K={k}\"\n", + " )" + ] + }, + { + "cell_type": "code", + "execution_count": 38, + "id": "3c052322-6566-4567-b084-81148fa65538", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", 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+ "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "def intra_inter_distances(X_scaled, labels):\n", + " D = pairwise_distances(X_scaled)\n", + " labels = np.asarray(labels)\n", + "\n", + " intra, inter = [], []\n", + " n = len(labels)\n", + "\n", + " for i in range(n):\n", + " for j in range(i+1, n):\n", + " if labels[i] == labels[j]:\n", + " intra.append(D[i, j])\n", + " else:\n", + " inter.append(D[i, j])\n", + "\n", + " return np.array(intra), np.array(inter)\n", + "\n", + "for k in [2, 5]:\n", + " intra, inter = intra_inter_distances(X_scaled, dfc[f\"cluster_k{k}\"].values)\n", + "\n", + " plt.figure(figsize=(8, 4))\n", + " sns.kdeplot(intra, label=\"Intra-cluster\", fill=True)\n", + " sns.kdeplot(inter, label=\"Inter-cluster\", fill=True)\n", + " plt.title(f\"Distances dans l'espace original — K={k}\")\n", + " plt.xlabel(\"Distance\")\n", + " plt.legend()\n", + " plt.tight_layout()\n", + " plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 39, + "id": "b4a85ccf-34e1-4788-adfc-35da95ba774f", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "churn_hard 0.801471\n", + "churn_soft 0.840928\n", + "churn_warning 0.403065\n", + "dtype: float64" + ] + }, + "execution_count": 39, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "dfc[\"churn_hard\"] = (dfc[\"aum_final_to_peak\"] < 0.10).astype(int)\n", + "\n", + "dfc[\"churn_soft\"] = (\n", + " (dfc[\"aum_final_to_peak\"] < 0.40) &\n", + " (dfc[\"aum_drawdown_last\"] > 0.40)\n", + ").astype(int)\n", + "\n", + "dfc[\"churn_warning\"] = (\n", + " (dfc[\"flow_direction_balance\"] < 0) &\n", + " (dfc[\"aum_drawdown_last\"] > 0.20)\n", + ").astype(int)\n", + "\n", + "dfc[[\"churn_hard\", \"churn_soft\", \"churn_warning\"]].mean()" + ] + }, + { + "cell_type": "code", + "execution_count": 40, + "id": "e990eea6-b569-4fe9-9196-42ec4ccc0e17", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "===== CHURN PAR CLUSTER K=2 =====\n" + ] + }, + { + "data": { + "text/html": [ + "
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n_clientschurn_hard_ratechurn_soft_ratechurn_warning_rate
cluster_k2
096510.8015750.8409490.403171
150.6000000.8000000.200000
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" + ], + "text/plain": [ + " n_clients churn_hard_rate churn_soft_rate churn_warning_rate\n", + "cluster_k2 \n", + "0 9651 0.801575 0.840949 0.403171\n", + "1 5 0.600000 0.800000 0.200000" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "===== CHURN PAR CLUSTER K=5 =====\n" + ] + }, + { + "data": { + "text/html": [ + "
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n_clientschurn_hard_ratechurn_soft_ratechurn_warning_rate
cluster_k5
096490.8016370.8409160.403151
121.0000001.0000000.500000
220.5000000.5000000.000000
420.5000001.0000000.500000
310.0000001.0000000.000000
\n", + "
" + ], + "text/plain": [ + " n_clients churn_hard_rate churn_soft_rate churn_warning_rate\n", + "cluster_k5 \n", + "0 9649 0.801637 0.840916 0.403151\n", + "1 2 1.000000 1.000000 0.500000\n", + "2 2 0.500000 0.500000 0.000000\n", + "4 2 0.500000 1.000000 0.500000\n", + "3 1 0.000000 1.000000 0.000000" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "for k in [2, 5]:\n", + " out = (\n", + " dfc.groupby(f\"cluster_k{k}\")\n", + " .agg(\n", + " n_clients=(ID_COL, \"count\"),\n", + " churn_hard_rate=(\"churn_hard\", \"mean\"),\n", + " churn_soft_rate=(\"churn_soft\", \"mean\"),\n", + " churn_warning_rate=(\"churn_warning\", \"mean\")\n", + " )\n", + " .sort_values(\"n_clients\", ascending=False)\n", + " )\n", + " print(f\"\\n===== CHURN PAR CLUSTER K={k} =====\")\n", + " display(out)" + ] + }, + { + "cell_type": "code", + "execution_count": 41, + "id": "4ad61286-89b0-473f-811d-f3affee994f0", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "===== NIVEAU 2 / EXPLICATION — K=2 =====\n" + ] + }, + { + "data": { + "text/html": [ + "
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n_clientsbeta_rate_meddelta_rate_mean_medaum_trend_12m_medflow_trend_12m_meddrawdown_trend_12m_med
cluster_k2
096510.000000-0.0043330.00.00.0
150.3551970.0224320.00.00.0
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" + ], + "text/plain": [ + " n_clients beta_rate_med delta_rate_mean_med aum_trend_12m_med \\\n", + "cluster_k2 \n", + "0 9651 0.000000 -0.004333 0.0 \n", + "1 5 0.355197 0.022432 0.0 \n", + "\n", + " flow_trend_12m_med drawdown_trend_12m_med \n", + "cluster_k2 \n", + "0 0.0 0.0 \n", + "1 0.0 0.0 " + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "===== NIVEAU 2 / EXPLICATION — K=5 =====\n" + ] + }, + { + "data": { + "text/html": [ + "
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n_clientsbeta_rate_meddelta_rate_mean_medaum_trend_12m_medflow_trend_12m_meddrawdown_trend_12m_med
cluster_k5
096490.000000e+00-0.0043330.0000000.0000000.000000e+00
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224.439995e-010.0132040.0000000.000000-1.546122e-33
421.972259e-020.0243690.0000000.0000001.546122e-33
31-7.467253e-020.051667-769.230769-0.0170945.379236e-03
\n", + "
" + ], + "text/plain": [ + " n_clients beta_rate_med delta_rate_mean_med aum_trend_12m_med \\\n", + "cluster_k5 \n", + "0 9649 0.000000e+00 -0.004333 0.000000 \n", + "1 2 -5.372138e+11 0.018078 0.000000 \n", + "2 2 4.439995e-01 0.013204 0.000000 \n", + "4 2 1.972259e-02 0.024369 0.000000 \n", + "3 1 -7.467253e-02 0.051667 -769.230769 \n", + "\n", + " flow_trend_12m_med drawdown_trend_12m_med \n", + "cluster_k5 \n", + "0 0.000000 0.000000e+00 \n", + "1 0.000000 0.000000e+00 \n", + "2 0.000000 -1.546122e-33 \n", + "4 0.000000 1.546122e-33 \n", + "3 -0.017094 5.379236e-03 " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "#niv 2 explciation eocno \n", + "explain_vars = [\n", + " \"beta_rate\",\n", + " \"delta_rate_mean\",\n", + " \"aum_trend_12m\",\n", + " \"flow_trend_12m\",\n", + " \"drawdown_trend_12m\",\n", + "]\n", + "\n", + "explain_vars = [c for c in explain_vars if c in dfc.columns]\n", + "\n", + "for k in [2, 5]:\n", + " print(f\"\\n===== NIVEAU 2 / EXPLICATION — K={k} =====\")\n", + " out = (\n", + " dfc.groupby(f\"cluster_k{k}\")\n", + " .agg(\n", + " n_clients=(ID_COL, \"count\"),\n", + " **{f\"{c}_med\": (c, \"median\") for c in explain_vars}\n", + " )\n", + " .sort_values(\"n_clients\", ascending=False)\n", + " )\n", + " display(out)" + ] + }, + { + "cell_type": "code", + "execution_count": 42, + "id": "0ae8a553-1ec2-4789-8b6c-c70909495b18", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "for k in [2, 5]:\n", + " tmp = (\n", + " dfc.groupby(f\"cluster_k{k}\")\n", + " .agg(\n", + " churn_hard=(\"churn_hard\", \"mean\"),\n", + " churn_soft=(\"churn_soft\", \"mean\"),\n", + " churn_warning=(\"churn_warning\", \"mean\")\n", + " )\n", + " )\n", + "\n", + " tmp.plot(kind=\"bar\", figsize=(8, 4))\n", + " plt.title(f\"Churn par cluster — K={k}\")\n", + " plt.ylabel(\"Rate\")\n", + " plt.tight_layout()\n", + " plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "5fc62ca1-a145-4669-8798-33d72352d4d5", + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + 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b/brouillon/dc_code_sequence_strings.csv new file mode 100644 index 0000000..5606688 --- /dev/null +++ b/brouillon/dc_code_sequence_strings.csv @@ -0,0 +1,9 @@ +entity_id,code_sequence +200127603,422778 -> 366412 -> 200008561 -> 200012831 -> 200126545 -> 200127603 -> 200127607 -> 200128363 -> 200130429 -> 200129716 -> 200127603 +200128363,422778 -> 366412 -> 200008561 -> 200012831 -> 200126545 -> 200127603 -> 200130462 -> 200128363 +200128473,411732 -> 414558 -> 200126716 -> 200127717 -> 200128737 -> 200130115 -> 200127717 -> 200130115 -> 200130475 -> 200126716 -> 200130673 -> 200128474 -> 200131007 -> 200130461 -> 200128474 -> 200127696 -> 200128473 +200130818,422778 -> 366412 -> 200008561 -> 200012831 -> 200126545 -> 200127603 -> 200130462 -> 200128363 -> 200131052 -> 200130818 +200130906,365500 -> 365429 -> 422554 -> 200130906 +200131052,422778 -> 366412 -> 200008561 -> 200012831 -> 200126545 -> 200127603 -> 200130462 -> 200128363 -> 200131052 +200131648,411732 -> 414558 -> 200126716 -> 200127769 -> 200127549 -> 200129600 -> 200127549 -> 200130868 -> 200131648 +364765,364918 -> 345837 -> 405975 -> 29000 -> 364724 -> 366419 -> 200130920 -> 364949 -> 364765 diff --git a/brouillon/dc_path_sequences.csv b/brouillon/dc_path_sequences.csv new file mode 100644 index 0000000..2b164bb --- /dev/null +++ b/brouillon/dc_path_sequences.csv @@ -0,0 +1,78 @@ +entity_id,root_account,code,start_date,end_date,start_score,end_score +200127603,200127603,422778,2015-01-31,2018-07-31,3.682289295084458e-15,5.009970656899727e-11 +200127603,200127603,366412,2018-08-31,2019-02-28,2.57395532489472e-10,9.072171420504866e-09 +200127603,200127603,200008561,2019-03-31,2019-03-31,1.8482518404890285e-08,1.8482518404890285e-08 +200127603,200127603,200012831,2019-04-30,2019-06-30,2.8324595352830876e-08,3.5853083878095154e-08 +200127603,200127603,200126545,2019-07-31,2019-11-30,2.127437007448722e-06,3.955543177396254e-06 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zF-J6wsr!k=^JmoD_S}ZC##xK`V)Twf!3(8o5DpSKR@I$fRhj}awrM0>&8O7Q_KMm% zHu3Xu<{kv*1uA3kr=x~rU9yZDV)b9L+)X;*f`T0j;X^4Z1NnRs@f8PZ0F~^tLrtzf zHHa%`B9GZh!b-AD6jMhXs8I63{Rdr zY#Q9N_7)eL)ON2?Z4VJ0pjA+7aAC!BfC9+pU2F_bpaK1VXHoZ1g72c5Q1`i6*R39C zR97O{a2TsQC6bsmqqKCPkdifLy!d5PzSF&T9T5;v|9AYq za-f~u7-iu!1Ze?fVpExFO>7=}yR-D0{MT#n?>M!t{lmF8ZYS6L z<-EcFYx-~8t}P(z{!rY#+Iv;|2OviNfBTO={!-FA`q EPS)\n", + ")\n", + "\n", + "\n", + "\n", + "# PARAMETERS\n", + "\n", + "\n", + "GAP_TOL = 1e-6\n", + "REL_GAP_THR = 0.05\n", + "MIN_PERSISTENCE = 3\n", + "\n", + "\n", + "\n", + "# SORT DATA\n", + "\n", + "\n", + "df = df.sort_values(\n", + " [\"Registrar Account - ID\", \"Product - Isin\", \"Centralisation Date\"]\n", + ")\n", + "\n", + "df[\"corrected_aum\"] = df[\"Quantity - AUM\"]\n", + "df[\"repair_flag\"] = False\n", + "\n", + "\n", + "# REBUILD EXPECTED AUM BEFORE REPAIR\n", + "\n", + "\n", + "df = df.sort_values(\n", + " [\"Registrar Account - ID\", \"Product - Isin\", \"Centralisation Date\"]\n", + ")\n", + "\n", + "df[\"prev_aum\"] = (\n", + " df.groupby([\"Registrar Account - ID\",\"Product - Isin\"])\n", + " [\"Quantity - AUM\"]\n", + " .shift(1)\n", + ")\n", + "\n", + "df[\"prev_flow\"] = (\n", + " df.groupby([\"Registrar Account - ID\",\"Product - Isin\"])\n", + " [\"Quantity - NetFlows\"]\n", + " .shift(1)\n", + " .fillna(0)\n", + ")\n", + "\n", + "df[\"expected_stock\"] = df[\"prev_aum\"] + df[\"prev_flow\"]\n", + "\n", + "#delete negative AUM\n", + "df = df[df[\"Quantity - AUM\"] >= 0]" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "efd374d0-6393-45f2-926e-2c29249cd078", + "metadata": {}, + "outputs": [], + "source": [ + "def repair_group(g):\n", + "\n", + " g = g.copy()\n", + "\n", + " obs = g[\"Quantity - AUM\"].values\n", + " flows = g[\"Quantity - NetFlows\"].values\n", + "\n", + " corrected = obs.copy()\n", + "\n", + " \n", + " # Build expected AUM path\n", + " \n", + "\n", + " expected = np.empty_like(obs)\n", + " expected[0] = np.nan\n", + "\n", + " for t in range(1, len(obs)):\n", + " expected[t] = corrected[t-1] + flows[t-1]\n", + "\n", + " gap = obs - expected\n", + "\n", + " rel_gap = np.abs(gap) / np.maximum(np.abs(expected), 1.0)\n", + "\n", + " idx = None\n", + "\n", + " \n", + " # Detect persistent shift\n", + " \n", + "\n", + " for i in range(1, len(obs) - MIN_PERSISTENCE):\n", + "\n", + " if (\n", + " rel_gap[i] > REL_GAP_THR\n", + " and np.all(np.abs(gap[i:i+MIN_PERSISTENCE] - gap[i]) < GAP_TOL)\n", + " and np.all(np.abs(np.diff(flows[i:i+MIN_PERSISTENCE])) < GAP_TOL)\n", + " ):\n", + " idx = i\n", + " break\n", + "\n", + " if idx is None:\n", + " return g\n", + "\n", + " \n", + " # Compute shift\n", + " \n", + "\n", + " shift = gap[idx]\n", + "\n", + " candidate = obs[idx:] - shift\n", + "\n", + " \n", + " # SAFETY CHECKS\n", + " \n", + "\n", + " # 1. do not allow negative AUM\n", + " # refuse repair if it creates NEW negative AUM\n", + " if ((candidate < 0) & (obs[idx:] >= 0)).any():\n", + " return g\n", + "\n", + " # 2. avoid extreme corrections\n", + " if abs(shift) > 2 * np.nanmax(np.abs(obs)):\n", + " return g\n", + "\n", + " \n", + " # Apply correction\n", + " \n", + "\n", + " corrected[idx:] = candidate\n", + "\n", + " g.loc[g.index[idx]:, \"repair_flag\"] = True\n", + "\n", + " \n", + " # Rebuild expected path after repair\n", + " \n", + "\n", + " expected_corr = np.empty_like(obs)\n", + " expected_corr[0] = np.nan\n", + "\n", + " for t in range(1, len(obs)):\n", + " expected_corr[t] = corrected[t-1] + flows[t-1]\n", + "\n", + " g[\"corrected_aum\"] = corrected\n", + " g[\"expected_stock_corr\"] = expected_corr\n", + "\n", + " return g" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "fe1f869c-0a00-47e0-9355-3705b23561c7", + "metadata": {}, + "outputs": [], + "source": [ + "def repair_group(g):\n", + "\n", + " g = g.copy()\n", + "\n", + " obs = g[\"Quantity - AUM\"].values\n", + " flows = g[\"Quantity - NetFlows\"].values\n", + "\n", + " corrected = obs.copy()\n", + "\n", + " # Build expected AUM path\n", + " expected = np.empty_like(obs)\n", + " expected[0] = np.nan\n", + "\n", + " for t in range(1, len(obs)):\n", + " expected[t] = corrected[t-1] + flows[t-1]\n", + "\n", + " gap = obs - expected\n", + " rel_gap = np.abs(gap) / np.maximum(np.abs(expected), 1.0)\n", + "\n", + " idx = None\n", + " shift = None\n", + "\n", + " for i in range(1, len(obs) - MIN_PERSISTENCE - 1):\n", + "\n", + " # ------------------------------------------------\n", + " # CASE 1 — standard persistent shift (original algo)\n", + " # ------------------------------------------------\n", + " if (\n", + " rel_gap[i] > REL_GAP_THR\n", + " and np.all(np.abs(gap[i:i+MIN_PERSISTENCE] - gap[i]) < GAP_TOL)\n", + " and np.all(np.abs(np.diff(flows[i:i+MIN_PERSISTENCE])) < GAP_TOL)\n", + " ):\n", + " idx = i\n", + " shift = gap[i]\n", + " break\n", + "\n", + " # ------------------------------------------------\n", + " # CASE 2 — double shift\n", + " # ------------------------------------------------\n", + " if (\n", + " rel_gap[i] > REL_GAP_THR\n", + " and rel_gap[i+1] > REL_GAP_THR\n", + " and np.all(np.abs(gap[i+1:i+1+MIN_PERSISTENCE] - gap[i+1]) < GAP_TOL)\n", + " and np.all(np.abs(np.diff(flows[i+1:i+1+MIN_PERSISTENCE])) < GAP_TOL)\n", + " ):\n", + " idx = i\n", + " shift = gap[i+1]\n", + " break\n", + "\n", + " if idx is None:\n", + " return g\n", + "\n", + " # Apply shift\n", + " candidate = obs[idx:] - shift\n", + "\n", + " # Safety checks\n", + "\n", + " # avoid creating new negative AUM\n", + " if ((candidate < 0) & (obs[idx:] >= 0)).any():\n", + " return g\n", + "\n", + " # avoid extreme corrections\n", + " if abs(shift) > 2 * np.nanmax(np.abs(obs)):\n", + " return g\n", + "\n", + " corrected[idx:] = candidate\n", + "\n", + " g.loc[g.index[idx]:, \"repair_flag\"] = True\n", + "\n", + " # rebuild expected path after repair\n", + " expected_corr = np.empty_like(obs)\n", + " expected_corr[0] = np.nan\n", + "\n", + " for t in range(1, len(obs)):\n", + " expected_corr[t] = corrected[t-1] + flows[t-1]\n", + "\n", + " g[\"corrected_aum\"] = corrected\n", + " g[\"expected_stock_corr\"] = expected_corr\n", + "\n", + " return g" + ] + }, + { + "cell_type": "code", + "execution_count": 49, + "id": "1ca2a5ab-354f-49af-b1aa-75c93d48de06", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/tmp/ipykernel_5465/3637915452.py:8: DtypeWarning:\n", + "\n", + "Columns (0,1,2,3) have mixed types. Specify dtype option on import or set low_memory=False.\n", + "\n", + "/tmp/ipykernel_5465/3637915452.py:14: DtypeWarning:\n", + "\n", + "Columns (0,1,2,3) have mixed types. Specify dtype option on import or set low_memory=False.\n", + "\n", + "/tmp/ipykernel_5465/3637915452.py:125: FutureWarning:\n", + "\n", + "DataFrameGroupBy.apply operated on the grouping columns. This behavior is deprecated, and in a future version of pandas the grouping columns will be excluded from the operation. Either pass `include_groups=False` to exclude the groupings or explicitly select the grouping columns after groupby to silence this warning.\n", + "\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "stock_repaired.csv successfully created\n" + ] + } + ], + "source": [ + "#FULL STOCK REPAIR\n", + "\n", + "# ============================================================\n", + "# LOAD DATA\n", + "# ============================================================\n", + "\n", + "with fs.open('projet-bdc-data/carmignac/AUM ENSAE V2 -20251105.csv', 'rb') as f:\n", + " stocks = pd.read_csv(f, sep=\";\")\n", + "\n", + "with fs.open(\n", + " \"projet-bdc-data/carmignac/Flows ENSAE V2 -20251105.csv\",\n", + " \"rb\"\n", + ") as f:\n", + " flows = pd.read_csv(f, sep=\";\")\n", + "\n", + "stocks[\"Centralisation Date\"] = pd.to_datetime(stocks[\"Centralisation Date\"])\n", + "flows[\"Centralisation Date\"] = pd.to_datetime(flows[\"Centralisation Date\"])\n", + "\n", + "# ============================================================\n", + "# MERGE FLOWS\n", + "# ============================================================\n", + "\n", + "df = stocks.merge(\n", + " flows,\n", + " on=[\"Registrar Account - ID\",\"Product - Isin\",\"Centralisation Date\"],\n", + " how=\"left\"\n", + ")\n", + "\n", + "df[\"Quantity - NetFlows\"] = df[\"Quantity - NetFlows\"].fillna(0)\n", + "\n", + "df = df.sort_values(\n", + " [\"Registrar Account - ID\",\"Product - Isin\",\"Centralisation Date\"]\n", + ")\n", + "\n", + "# ============================================================\n", + "# PARAMETERS\n", + "# ============================================================\n", + "\n", + "REL_GAP_THR = 0.05\n", + "MIN_PERSISTENCE = 3\n", + "GAP_TOL = 1e-6\n", + "\n", + "# ============================================================\n", + "# REPAIR FUNCTION\n", + "# ============================================================\n", + "\n", + "def repair_group(g):\n", + "\n", + " g = g.copy()\n", + "\n", + " obs = g[\"Quantity - AUM\"].values\n", + " flows = g[\"Quantity - NetFlows\"].values\n", + "\n", + " corrected = obs.copy()\n", + "\n", + " expected = np.empty_like(obs)\n", + " expected[0] = np.nan\n", + "\n", + " for t in range(1, len(obs)):\n", + " expected[t] = corrected[t-1] + flows[t-1]\n", + "\n", + " gap = obs - expected\n", + " rel_gap = np.abs(gap) / np.maximum(np.abs(expected), 1.0)\n", + "\n", + " idx = None\n", + " shift = None\n", + "\n", + " for i in range(1, len(obs) - MIN_PERSISTENCE - 1):\n", + "\n", + " # CASE 1 — persistent shift\n", + " if (\n", + " rel_gap[i] > REL_GAP_THR\n", + " and np.all(np.abs(gap[i:i+MIN_PERSISTENCE] - gap[i]) < GAP_TOL)\n", + " and np.all(np.abs(np.diff(flows[i:i+MIN_PERSISTENCE])) < GAP_TOL)\n", + " ):\n", + " idx = i\n", + " shift = gap[i]\n", + " break\n", + "\n", + " # CASE 2 — double shift\n", + " if (\n", + " rel_gap[i] > REL_GAP_THR\n", + " and rel_gap[i+1] > REL_GAP_THR\n", + " and np.all(np.abs(gap[i+1:i+1+MIN_PERSISTENCE] - gap[i+1]) < GAP_TOL)\n", + " and np.all(np.abs(np.diff(flows[i+1:i+1+MIN_PERSISTENCE])) < GAP_TOL)\n", + " ):\n", + " idx = i\n", + " shift = gap[i+1]\n", + " break\n", + "\n", + " if idx is None:\n", + " return g\n", + "\n", + " candidate = obs[idx:] - shift\n", + "\n", + " if ((candidate < 0) & (obs[idx:] >= 0)).any():\n", + " return g\n", + "\n", + " if abs(shift) > 2 * np.nanmax(np.abs(obs)):\n", + " return g\n", + "\n", + " corrected[idx:] = candidate\n", + "\n", + " g.loc[g.index[idx]:, \"repair_flag\"] = True\n", + "\n", + " expected_corr = np.empty_like(obs)\n", + " expected_corr[0] = np.nan\n", + "\n", + " for t in range(1, len(obs)):\n", + " expected_corr[t] = corrected[t-1] + flows[t-1]\n", + "\n", + " g[\"corrected_aum\"] = corrected\n", + "\n", + " return g\n", + "\n", + "# ============================================================\n", + "# APPLY REPAIR\n", + "# ============================================================\n", + "\n", + "df_repaired = (\n", + " df.groupby(\n", + " [\"Registrar Account - ID\",\"Product - Isin\"],\n", + " group_keys=False\n", + " )\n", + " .apply(repair_group)\n", + ")\n", + "\n", + "# ============================================================\n", + "# REBUILD STOCK FILE\n", + "# ============================================================\n", + "\n", + "stocks_repaired = stocks.copy()\n", + "\n", + "stocks_repaired[\"Quantity - AUM\"] = df_repaired[\"corrected_aum\"].fillna(\n", + " stocks[\"Quantity - AUM\"]\n", + ")\n", + "\n", + "# ============================================================\n", + "# SAVE WITH ORIGINAL FORMAT\n", + "# ============================================================\n", + "\n", + "stocks_repaired.to_csv(\n", + " \"stock_repaired.csv\",\n", + " sep=\";\",\n", + " index=False\n", + ")\n", + "\n", + "print(\"stock_repaired.csv successfully created\")" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "id": "f94f07b4-e053-4828-bbb1-3697f9a11751", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/tmp/ipykernel_5465/3656779442.py:4: FutureWarning: DataFrameGroupBy.apply operated on the grouping columns. This behavior is deprecated, and in a future version of pandas the grouping columns will be excluded from the operation. Either pass `include_groups=False` to exclude the groupings or explicitly select the grouping columns after groupby to silence this warning.\n", + " .apply(repair_group)\n" + ] + }, + { + "ename": "KeyError", + "evalue": "'expected_stock_corr'", + "output_type": "error", + "traceback": [ + "\u001b[31m---------------------------------------------------------------------------\u001b[39m", + "\u001b[31mKeyError\u001b[39m Traceback (most recent call last)", + "\u001b[36mFile \u001b[39m\u001b[32m/opt/python/lib/python3.13/site-packages/pandas/core/indexes/base.py:3812\u001b[39m, in \u001b[36mIndex.get_loc\u001b[39m\u001b[34m(self, key)\u001b[39m\n\u001b[32m 3811\u001b[39m \u001b[38;5;28;01mtry\u001b[39;00m:\n\u001b[32m-> \u001b[39m\u001b[32m3812\u001b[39m \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[38;5;28;43mself\u001b[39;49m\u001b[43m.\u001b[49m\u001b[43m_engine\u001b[49m\u001b[43m.\u001b[49m\u001b[43mget_loc\u001b[49m\u001b[43m(\u001b[49m\u001b[43mcasted_key\u001b[49m\u001b[43m)\u001b[49m\n\u001b[32m 3813\u001b[39m \u001b[38;5;28;01mexcept\u001b[39;00m \u001b[38;5;167;01mKeyError\u001b[39;00m \u001b[38;5;28;01mas\u001b[39;00m err:\n", + "\u001b[36mFile \u001b[39m\u001b[32mpandas/_libs/index.pyx:167\u001b[39m, in \u001b[36mpandas._libs.index.IndexEngine.get_loc\u001b[39m\u001b[34m()\u001b[39m\n", + "\u001b[36mFile \u001b[39m\u001b[32mpandas/_libs/index.pyx:196\u001b[39m, in \u001b[36mpandas._libs.index.IndexEngine.get_loc\u001b[39m\u001b[34m()\u001b[39m\n", + "\u001b[36mFile \u001b[39m\u001b[32mpandas/_libs/hashtable_class_helper.pxi:7088\u001b[39m, in \u001b[36mpandas._libs.hashtable.PyObjectHashTable.get_item\u001b[39m\u001b[34m()\u001b[39m\n", + "\u001b[36mFile \u001b[39m\u001b[32mpandas/_libs/hashtable_class_helper.pxi:7096\u001b[39m, in \u001b[36mpandas._libs.hashtable.PyObjectHashTable.get_item\u001b[39m\u001b[34m()\u001b[39m\n", + "\u001b[31mKeyError\u001b[39m: 'expected_stock_corr'", + "\nThe above exception was the direct cause of the following exception:\n", + "\u001b[31mKeyError\u001b[39m Traceback (most recent call last)", + "\u001b[36mCell\u001b[39m\u001b[36m \u001b[39m\u001b[32mIn[15]\u001b[39m\u001b[32m, line 25\u001b[39m\n\u001b[32m 22\u001b[39m df[\u001b[33m\"\u001b[39m\u001b[33mexpected_stock\u001b[39m\u001b[33m\"\u001b[39m] = df[\u001b[33m\"\u001b[39m\u001b[33mprev_aum\u001b[39m\u001b[33m\"\u001b[39m] + df[\u001b[33m\"\u001b[39m\u001b[33mprev_flow\u001b[39m\u001b[33m\"\u001b[39m]\n\u001b[32m 23\u001b[39m df[\u001b[33m\"\u001b[39m\u001b[33mgap_before\u001b[39m\u001b[33m\"\u001b[39m] = df[\u001b[33m\"\u001b[39m\u001b[33mQuantity - AUM\u001b[39m\u001b[33m\"\u001b[39m] - df[\u001b[33m\"\u001b[39m\u001b[33mexpected_stock\u001b[39m\u001b[33m\"\u001b[39m]\n\u001b[32m---> \u001b[39m\u001b[32m25\u001b[39m df[\u001b[33m\"\u001b[39m\u001b[33mgap_after\u001b[39m\u001b[33m\"\u001b[39m] = df[\u001b[33m\"\u001b[39m\u001b[33mcorrected_aum\u001b[39m\u001b[33m\"\u001b[39m] - \u001b[43mdf\u001b[49m\u001b[43m[\u001b[49m\u001b[33;43m\"\u001b[39;49m\u001b[33;43mexpected_stock_corr\u001b[39;49m\u001b[33;43m\"\u001b[39;49m\u001b[43m]\u001b[49m\n\u001b[32m 27\u001b[39m df[\u001b[33m\"\u001b[39m\u001b[33mrupture_before\u001b[39m\u001b[33m\"\u001b[39m] = df[\u001b[33m\"\u001b[39m\u001b[33mgap_before\u001b[39m\u001b[33m\"\u001b[39m].abs() > GAP_TOL\n\u001b[32m 29\u001b[39m df[\u001b[33m\"\u001b[39m\u001b[33mrupture_after\u001b[39m\u001b[33m\"\u001b[39m] = df[\u001b[33m\"\u001b[39m\u001b[33mgap_after\u001b[39m\u001b[33m\"\u001b[39m].abs() > GAP_TOL\n", + "\u001b[36mFile \u001b[39m\u001b[32m/opt/python/lib/python3.13/site-packages/pandas/core/frame.py:4113\u001b[39m, in \u001b[36mDataFrame.__getitem__\u001b[39m\u001b[34m(self, key)\u001b[39m\n\u001b[32m 4111\u001b[39m \u001b[38;5;28;01mif\u001b[39;00m \u001b[38;5;28mself\u001b[39m.columns.nlevels > \u001b[32m1\u001b[39m:\n\u001b[32m 4112\u001b[39m \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[38;5;28mself\u001b[39m._getitem_multilevel(key)\n\u001b[32m-> \u001b[39m\u001b[32m4113\u001b[39m indexer = \u001b[38;5;28;43mself\u001b[39;49m\u001b[43m.\u001b[49m\u001b[43mcolumns\u001b[49m\u001b[43m.\u001b[49m\u001b[43mget_loc\u001b[49m\u001b[43m(\u001b[49m\u001b[43mkey\u001b[49m\u001b[43m)\u001b[49m\n\u001b[32m 4114\u001b[39m \u001b[38;5;28;01mif\u001b[39;00m is_integer(indexer):\n\u001b[32m 4115\u001b[39m indexer = [indexer]\n", + "\u001b[36mFile \u001b[39m\u001b[32m/opt/python/lib/python3.13/site-packages/pandas/core/indexes/base.py:3819\u001b[39m, in \u001b[36mIndex.get_loc\u001b[39m\u001b[34m(self, key)\u001b[39m\n\u001b[32m 3814\u001b[39m \u001b[38;5;28;01mif\u001b[39;00m \u001b[38;5;28misinstance\u001b[39m(casted_key, \u001b[38;5;28mslice\u001b[39m) \u001b[38;5;129;01mor\u001b[39;00m (\n\u001b[32m 3815\u001b[39m \u001b[38;5;28misinstance\u001b[39m(casted_key, abc.Iterable)\n\u001b[32m 3816\u001b[39m \u001b[38;5;129;01mand\u001b[39;00m \u001b[38;5;28many\u001b[39m(\u001b[38;5;28misinstance\u001b[39m(x, \u001b[38;5;28mslice\u001b[39m) \u001b[38;5;28;01mfor\u001b[39;00m x \u001b[38;5;129;01min\u001b[39;00m casted_key)\n\u001b[32m 3817\u001b[39m ):\n\u001b[32m 3818\u001b[39m \u001b[38;5;28;01mraise\u001b[39;00m InvalidIndexError(key)\n\u001b[32m-> \u001b[39m\u001b[32m3819\u001b[39m \u001b[38;5;28;01mraise\u001b[39;00m \u001b[38;5;167;01mKeyError\u001b[39;00m(key) \u001b[38;5;28;01mfrom\u001b[39;00m\u001b[38;5;250m \u001b[39m\u001b[34;01merr\u001b[39;00m\n\u001b[32m 3820\u001b[39m \u001b[38;5;28;01mexcept\u001b[39;00m \u001b[38;5;167;01mTypeError\u001b[39;00m:\n\u001b[32m 3821\u001b[39m \u001b[38;5;66;03m# If we have a listlike key, _check_indexing_error will raise\u001b[39;00m\n\u001b[32m 3822\u001b[39m \u001b[38;5;66;03m# InvalidIndexError. Otherwise we fall through and re-raise\u001b[39;00m\n\u001b[32m 3823\u001b[39m \u001b[38;5;66;03m# the TypeError.\u001b[39;00m\n\u001b[32m 3824\u001b[39m \u001b[38;5;28mself\u001b[39m._check_indexing_error(key)\n", + "\u001b[31mKeyError\u001b[39m: 'expected_stock_corr'" + ] + } + ], + "source": [ + "df = (\n", + " df\n", + " .groupby([\"Registrar Account - ID\", \"Product - Isin\"], group_keys=False)\n", + " .apply(repair_group)\n", + ")\n", + "\n", + "# VALIDATION BEFORE / AFTER\n", + "\n", + "df[\"prev_aum\"] = (\n", + " df.groupby([\"Registrar Account - ID\",\"Product - Isin\"])\n", + " [\"Quantity - AUM\"]\n", + " .shift(1)\n", + ")\n", + "\n", + "df[\"prev_flow\"] = (\n", + " df.groupby([\"Registrar Account - ID\",\"Product - Isin\"])\n", + " [\"Quantity - NetFlows\"]\n", + " .shift(1)\n", + " .fillna(0)\n", + ")\n", + "\n", + "df[\"expected_stock\"] = df[\"prev_aum\"] + df[\"prev_flow\"]\n", + "df[\"gap_before\"] = df[\"Quantity - AUM\"] - df[\"expected_stock\"]\n", + "\n", + "df[\"gap_after\"] = df[\"corrected_aum\"] - df[\"expected_stock_corr\"]\n", + "\n", + "df[\"rupture_before\"] = df[\"gap_before\"].abs() > GAP_TOL\n", + "\n", + "df[\"rupture_after\"] = df[\"gap_after\"].abs() > GAP_TOL\n", + "\n", + "\n", + "\n", + "# SUMMARY\n", + "\n", + "\n", + "summary = pd.DataFrame({\n", + " \"Before repair\": [df[\"rupture_before\"].sum()],\n", + " \"After repair\": [df[\"rupture_after\"].sum()],\n", + " \"Repaired points\": [df[\"repair_flag\"].sum()]\n", + "})\n", + "\n", + "print(summary)\n", + "\n", + "\n", + "\n", + "# BUILD REPAIRED DATASET\n", + "\n", + "\n", + "stocks_repaired = stocks.copy()\n", + "\n", + "repair_map = df[[\n", + " \"Registrar Account - ID\",\n", + " \"Product - Isin\",\n", + " \"Centralisation Date\",\n", + " \"corrected_aum\",\n", + " \"repair_flag\"\n", + "]]\n", + "\n", + "stocks_repaired = stocks_repaired.merge(\n", + " repair_map,\n", + " on=keys,\n", + " how=\"left\"\n", + ")\n", + "\n", + "stocks_repaired[\"Quantity - AUM\"] = np.where(\n", + " stocks_repaired[\"repair_flag\"] == True,\n", + " stocks_repaired[\"corrected_aum\"],\n", + " stocks_repaired[\"Quantity - AUM\"]\n", + ")\n", + "\n", + "stocks_repaired.to_csv(\"stock_repaired.csv\", index=False)\n", + "\n", + "\n", + "\n", + "# COMPARISON RAW VS REPAIRED\n", + "\n", + "\n", + "df_compare = stocks.merge(\n", + " stocks_repaired,\n", + " on=keys,\n", + " how=\"inner\",\n", + " suffixes=(\"_raw\",\"_repaired\")\n", + ")\n", + "\n", + "df_compare[\"aum_diff\"] = (\n", + " df_compare[\"Quantity - AUM_repaired\"]\n", + " - df_compare[\"Quantity - AUM_raw\"]\n", + ")\n", + "\n", + "print(\"\\nNUMBER OF MODIFIED OBSERVATIONS:\",\n", + " (df_compare[\"aum_diff\"] != 0).sum())\n", + "\n", + "print(\"Share modified:\",\n", + " round((df_compare[\"aum_diff\"] != 0).mean()*100,2), \"%\")\n", + "\n", + "print(\"\\nTOTAL AUM\")\n", + "\n", + "print(\"Raw total :\", df_compare[\"Quantity - AUM_raw\"].sum())\n", + "print(\"Repaired total :\", df_compare[\"Quantity - AUM_repaired\"].sum())\n", + "\n", + "\n", + "\n", + "# RUPTURE DISTRIBUTION BEFORE / AFTER\n", + "\n", + "\n", + "def rupture_distribution(df, flag):\n", + "\n", + " rupture_summary = (\n", + " df.groupby([\"Registrar Account - ID\",\"Product - Isin\"])\n", + " .agg(\n", + " n_ruptures=(flag,\"sum\"),\n", + " total_obs=(flag,\"count\"),\n", + " rupture_ratio=(flag,\"mean\")\n", + " )\n", + " .reset_index()\n", + " )\n", + "\n", + " rs = rupture_summary.copy()\n", + "\n", + " bins = [0,0.01,0.10,0.30,1.01]\n", + "\n", + " labels = [\n", + " \"Clean / quasi-clean (≤1%)\",\n", + " \"Moderate (1–10%)\",\n", + " \"High (10–30%)\",\n", + " \"Severe (>30%)\"\n", + " ]\n", + "\n", + " rs[\"rupture_class\"] = pd.cut(\n", + " rs[\"rupture_ratio\"],\n", + " bins=bins,\n", + " labels=labels,\n", + " include_lowest=True\n", + " )\n", + "\n", + " dist = (\n", + " rs[\"rupture_class\"]\n", + " .value_counts(normalize=True)\n", + " .sort_index()\n", + " * 100\n", + " ).round(1)\n", + "\n", + " return dist\n", + "\n", + "\n", + "dist_before = rupture_distribution(df,\"rupture_before\")\n", + "dist_after = rupture_distribution(df,\"rupture_after\")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "54491736-58b3-4ef7-b6c4-5534ec796bce", + "metadata": {}, + "outputs": [], + "source": [ + "# DONUT CHART BEFORE / AFTER\n", + "\n", + "fig = go.Figure()\n", + "\n", + "fig.add_trace(go.Pie(\n", + " labels=dist_before.index,\n", + " values=dist_before.values,\n", + " hole=0.45,\n", + " name=\"Before repair\",\n", + " domain=dict(x=[0,0.48]),\n", + " textinfo=\"percent\"\n", + "))\n", + "\n", + "fig.add_trace(go.Pie(\n", + " labels=dist_after.index,\n", + " values=dist_after.values,\n", + " hole=0.45,\n", + " name=\"After repair\",\n", + " domain=dict(x=[0.52,1]),\n", + " textinfo=\"percent\"\n", + "))\n", + "\n", + "fig.update_layout(\n", + " title=\"Rupture intensity distribution (Before vs After repair)\",\n", + " annotations=[\n", + " dict(text=\"Before repair\", x=0.22, y=0.5, showarrow=False),\n", + " dict(text=\"After repair\", x=0.78, y=0.5, showarrow=False)\n", + " ]\n", + ")\n", + "\n", + "fig.show()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "d844f6f0-c0f4-4f71-8280-1fd39ced83b7", + "metadata": {}, + "outputs": [], + "source": [ + "# LOAD DATA\n", + "\n", + "aum = pd.read_csv(\"stock_repaired.csv\")\n", + "\n", + "aum[\"Centralisation Date\"] = pd.to_datetime(aum[\"Centralisation Date\"])\n", + "\n", + "\n", + "# KEEP USEFUL COLUMNS\n", + "\n", + "aum = aum[[\n", + " \"Registrar Account - ID\",\n", + " \"Product - Isin\",\n", + " \"Centralisation Date\",\n", + " \"Quantity - AUM\",\n", + " \"repair_flag\"\n", + "]]\n", + "\n", + "flows = flows[[\n", + " \"Registrar Account - ID\",\n", + " \"Product - Isin\",\n", + " \"Centralisation Date\",\n", + " \"Quantity - NetFlows\"\n", + "]]\n", + "\n", + "\n", + "\n", + "# AGGREGATE FLOWS\n", + "\n", + "flows = (\n", + " flows\n", + " .groupby(\n", + " [\"Registrar Account - ID\",\"Product - Isin\",\"Centralisation Date\"],\n", + " as_index=False\n", + " )[\"Quantity - NetFlows\"]\n", + " .sum()\n", + ")\n", + "\n", + "\n", + "\n", + "# MERGE DATASETS\n", + "\n", + "df = aum.merge(\n", + " flows,\n", + " on=[\"Registrar Account - ID\",\"Product - Isin\",\"Centralisation Date\"],\n", + " how=\"left\"\n", + ")\n", + "\n", + "df[\"Quantity - NetFlows\"] = df[\"Quantity - NetFlows\"].fillna(0)\n", + "\n", + "print(\"Dataset size:\", df.shape)\n", + "\n", + "\n", + "\n", + "# SORT DATA\n", + "\n", + "df = df.sort_values(\n", + " [\"Registrar Account - ID\",\"Product - Isin\",\"Centralisation Date\"]\n", + ")\n", + "\n", + "\n", + "\n", + "# REBUILD ACCOUNTING IDENTITY\n", + "\n", + "df[\"prev_aum\"] = (\n", + " df.groupby([\"Registrar Account - ID\",\"Product - Isin\"])\n", + " [\"Quantity - AUM\"]\n", + " .shift(1)\n", + ")\n", + "\n", + "df[\"prev_flow\"] = (\n", + " df.groupby([\"Registrar Account - ID\",\"Product - Isin\"])\n", + " [\"Quantity - NetFlows\"]\n", + " .shift(1)\n", + " .fillna(0)\n", + ")\n", + "\n", + "df[\"expected_aum\"] = df[\"prev_aum\"] + df[\"prev_flow\"]\n", + "\n", + "\n", + "\n", + "# GAPS\n", + "\n", + "df[\"gap\"] = df[\"Quantity - AUM\"] - df[\"expected_aum\"]\n", + "\n", + "df[\"gap_abs\"] = df[\"gap\"].abs()\n", + "\n", + "df[\"gap_rel\"] = (\n", + " df[\"gap_abs\"] /\n", + " df[\"expected_aum\"].abs().clip(lower=1)\n", + ")\n", + "\n", + "\n", + "\n", + "# ACCOUNTING CONSISTENCY\n", + "\n", + "print(\"\\nACCOUNTING GAP DISTRIBUTION\")\n", + "\n", + "print(df[\"gap_abs\"].describe())\n", + "\n", + "print(\"\\nRelative gap quantiles\")\n", + "\n", + "print(df[\"gap_rel\"].quantile([0.90,0.95,0.99]))\n", + "\n", + "\n", + "\n", + "# NEGATIVE AUM\n", + "\n", + "neg = (df[\"Quantity - AUM\"] < 0).sum()\n", + "\n", + "print(\"\\nNEGATIVE AUM:\", neg)\n", + "\n", + "\n", + "\n", + "# REPAIR RATE\n", + "\n", + "print(\"\\nREPAIR RATE\")\n", + "\n", + "print(df[\"repair_flag\"].mean())\n", + "\n", + "\n", + "\n", + "# AUM JUMPS\n", + "\n", + "\n", + "df[\"prev_obs\"] = (\n", + " df.groupby([\"Registrar Account - ID\",\"Product - Isin\"])\n", + " [\"Quantity - AUM\"]\n", + " .shift(1)\n", + ")\n", + "\n", + "df[\"aum_jump\"] = (\n", + " df[\"Quantity - AUM\"] /\n", + " df[\"prev_obs\"].replace(0,np.nan)\n", + ")\n", + "\n", + "print(\"\\nAUM JUMP QUANTILES\")\n", + "\n", + "print(df[\"aum_jump\"].quantile([0.90,0.95,0.99]))\n", + "\n", + "\n", + "\n", + "# VISUAL CHECK\n", + "\n", + "\n", + "def plot_series(account, isin):\n", + "\n", + " sub = df[\n", + " (df[\"Registrar Account - ID\"] == account) &\n", + " (df[\"Product - Isin\"] == isin)\n", + " ]\n", + "\n", + " plt.figure(figsize=(8,3))\n", + "\n", + " plt.plot(\n", + " sub[\"Centralisation Date\"],\n", + " sub[\"Quantity - AUM\"],\n", + " label=\"AUM\"\n", + " )\n", + "\n", + " plt.plot(\n", + " sub[\"Centralisation Date\"],\n", + " sub[\"expected_aum\"],\n", + " linestyle=\"--\",\n", + " label=\"Expected AUM\"\n", + " )\n", + "\n", + " plt.legend()\n", + " plt.title(f\"Account {account} — ISIN {isin}\")\n", + "\n", + " plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "f7d759f7-64be-4d82-a79c-98cda407cfec", + "metadata": { + "scrolled": true + }, + "outputs": [], + "source": [ + "# COMPUTE AUM CHANGE\n", + "\n", + "df[\"prev_aum\"] = (\n", + " df.groupby([\"Registrar Account - ID\",\"Product - Isin\"])\n", + " [\"Quantity - AUM\"]\n", + " .shift(1)\n", + ")\n", + "\n", + "df[\"delta_aum\"] = df[\"Quantity - AUM\"] - df[\"prev_aum\"]\n", + "\n", + "df[\"flow_lag\"] = (\n", + " df.groupby([\"Registrar Account - ID\",\"Product - Isin\"])\n", + " [\"Quantity - NetFlows\"]\n", + " .shift(1)\n", + ")\n", + "\n", + "\n", + "\n", + "# FILTER VALID OBSERVATIONS\n", + "\n", + "\n", + "diag = df[\n", + " df[\"prev_aum\"].notna() &\n", + " df[\"flow_lag\"].notna()\n", + "]\n", + "\n", + "\n", + "\n", + "# SAMPLE FOR PLOTTING (dataset is large)\n", + "\n", + "\n", + "sample = diag.sample(20000, random_state=1)\n", + "\n", + "\n", + "\n", + "# SCATTER PLOT\n", + "\n", + "\n", + "plt.figure(figsize=(7,7))\n", + "\n", + "plt.scatter(\n", + " sample[\"flow_lag\"],\n", + " sample[\"delta_aum\"],\n", + " alpha=0.3,\n", + " s=5\n", + ")\n", + "\n", + "# perfect accounting identity\n", + "x = np.linspace(\n", + " sample[\"flow_lag\"].min(),\n", + " sample[\"flow_lag\"].max(),\n", + " 100\n", + ")\n", + "\n", + "plt.plot(x, x, color=\"red\", label=\"Perfect identity\")\n", + "\n", + "plt.xlabel(\"Flow (t-1)\")\n", + "plt.ylabel(\"Δ AUM\")\n", + "\n", + "plt.title(\"AUM / Flow Accounting Diagnostic\")\n", + "\n", + "plt.legend()\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "d0a959c9-cfff-44cb-a1df-6c7275ec5b43", + "metadata": {}, + "outputs": [], + "source": [ + "df[\"implied_return\"] = (\n", + " df[\"Quantity - AUM\"] - df[\"prev_aum\"] - df[\"flow_lag\"]\n", + ") / df[\"prev_aum\"].replace(0, np.nan)\n", + "\n", + "print(df[\"implied_return\"].quantile([0.5,0.9,0.95,0.99]))" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "15111e8a-7d87-4c37-8122-daafe90a1ad5", + "metadata": { + "scrolled": true + }, + "outputs": [], + "source": [ + "# ============================================================\n", + "# ADDITIONAL DATASET VALIDATION CHECKS (ROBUST VERSION)\n", + "# ============================================================\n", + "\n", + "import numpy as np\n", + "import pandas as pd\n", + "\n", + "print(\"\\n==============================\")\n", + "print(\"ADDITIONAL DATA QUALITY CHECKS\")\n", + "print(\"==============================\")\n", + "\n", + "# ------------------------------------------------------------\n", + "# RECOMPUTE KEY VARIABLES IF NEEDED\n", + "# ------------------------------------------------------------\n", + "\n", + "df = df.sort_values([\"Registrar Account - ID\",\"Product - Isin\",\"Centralisation Date\"])\n", + "\n", + "df[\"prev_aum\"] = (\n", + " df.groupby([\"Registrar Account - ID\",\"Product - Isin\"])\n", + " [\"Quantity - AUM\"]\n", + " .shift(1)\n", + ")\n", + "\n", + "df[\"flow_lag\"] = (\n", + " df.groupby([\"Registrar Account - ID\",\"Product - Isin\"])\n", + " [\"Quantity - NetFlows\"]\n", + " .shift(1)\n", + ")\n", + "\n", + "df[\"flow_lag\"] = df[\"flow_lag\"].fillna(0)\n", + "\n", + "df[\"expected_aum\"] = df[\"prev_aum\"] + df[\"flow_lag\"]\n", + "\n", + "df[\"gap\"] = df[\"Quantity - AUM\"] - df[\"expected_aum\"]\n", + "df[\"gap_abs\"] = df[\"gap\"].abs()\n", + "\n", + "df[\"delta_aum\"] = df[\"Quantity - AUM\"] - df[\"prev_aum\"]\n", + "\n", + "df[\"implied_return\"] = (\n", + " df[\"Quantity - AUM\"] - df[\"prev_aum\"] - df[\"flow_lag\"]\n", + ") / df[\"prev_aum\"].replace(0,np.nan)\n", + "\n", + "df[\"aum_jump\"] = (\n", + " df[\"Quantity - AUM\"] /\n", + " df[\"prev_aum\"].replace(0,np.nan)\n", + ")\n", + "\n", + "\n", + "# ------------------------------------------------------------\n", + "# 1. CHECK SERIES WHERE GAP IS STILL LARGE\n", + "# ------------------------------------------------------------\n", + "\n", + "remaining_gaps = df[df[\"gap_abs\"] > 10]\n", + "\n", + "series_remaining = (\n", + " remaining_gaps\n", + " .groupby([\"Registrar Account - ID\",\"Product - Isin\"])\n", + " .size()\n", + ")\n", + "\n", + "print(\"\\nSERIES STILL WITH LARGE ACCOUNTING GAPS:\", len(series_remaining))\n", + "\n", + "\n", + "# ------------------------------------------------------------\n", + "# 2. GAP DISTRIBUTION\n", + "# ------------------------------------------------------------\n", + "\n", + "print(\"\\nACCOUNTING GAP DISTRIBUTION\")\n", + "print(df[\"gap_abs\"].quantile([0.5,0.9,0.95,0.99]))\n", + "\n", + "\n", + "# ------------------------------------------------------------\n", + "# 3. IMPLIED RETURNS DISTRIBUTION\n", + "# ------------------------------------------------------------\n", + "\n", + "print(\"\\nIMPLIED RETURN DISTRIBUTION\")\n", + "print(df[\"implied_return\"].quantile([0.5,0.9,0.95,0.99]))\n", + "\n", + "\n", + "# ------------------------------------------------------------\n", + "# 4. EXTREME RETURNS\n", + "# ------------------------------------------------------------\n", + "\n", + "extreme_returns = df[df[\"implied_return\"].abs() > 2]\n", + "\n", + "print(\"\\nOBSERVATIONS WITH EXTREME IMPLIED RETURNS (>200%):\",\n", + " len(extreme_returns))\n", + "\n", + "\n", + "# ------------------------------------------------------------\n", + "# 5. FLOW / AUM ACCOUNTING CORRELATION\n", + "# ------------------------------------------------------------\n", + "\n", + "valid = df[\n", + " df[\"prev_aum\"].notna() &\n", + " df[\"flow_lag\"].notna()\n", + "]\n", + "\n", + "corr = valid[\"delta_aum\"].corr(valid[\"flow_lag\"])\n", + "\n", + "print(\"\\nCORRELATION ΔAUM vs FLOW:\", corr)\n", + "\n", + "\n", + "# ------------------------------------------------------------\n", + "# 6. LARGE AUM JUMPS\n", + "# ------------------------------------------------------------\n", + "\n", + "large_jumps = df[df[\"aum_jump\"].abs() > 5]\n", + "\n", + "print(\"\\nLARGE AUM JUMPS (>5x):\", len(large_jumps))\n", + "\n", + "\n", + "# ------------------------------------------------------------\n", + "# 7. SERIES WITH HIGH GAP RATE\n", + "# ------------------------------------------------------------\n", + "\n", + "series_gap_rate = (\n", + " (df[\"gap_abs\"] > 10)\n", + " .groupby([df[\"Registrar Account - ID\"], df[\"Product - Isin\"]])\n", + " .mean()\n", + ")\n", + "\n", + "problem_series = series_gap_rate[series_gap_rate > 0.2]\n", + "\n", + "print(\"\\nSERIES WITH >20% ACCOUNTING GAPS:\", len(problem_series))\n", + "\n", + "\n", + "# ------------------------------------------------------------\n", + "# 8. TOTAL AUM STABILITY\n", + "# ------------------------------------------------------------\n", + "\n", + "if \"df_compare\" in globals():\n", + "\n", + " raw_total = df_compare[\"Quantity - AUM_raw\"].sum()\n", + " repaired_total = df_compare[\"Quantity - AUM_repaired\"].sum()\n", + "\n", + " print(\"\\nTOTAL AUM RAW:\", raw_total)\n", + " print(\"TOTAL AUM REPAIRED:\", repaired_total)\n", + "\n", + " print(\"RELATIVE CHANGE:\",\n", + " (repaired_total - raw_total) / raw_total)\n", + "\n", + "\n", + "# ------------------------------------------------------------\n", + "# 9. PROPORTION OF SERIES REPAIRED\n", + "# ------------------------------------------------------------\n", + "\n", + "if \"repair_flag\" in df.columns:\n", + "\n", + " series_repaired = (\n", + " df.groupby([\"Registrar Account - ID\",\"Product - Isin\"])\n", + " [\"repair_flag\"]\n", + " .max()\n", + " )\n", + "\n", + " print(\"\\nSERIES WITH AT LEAST ONE REPAIR:\",\n", + " series_repaired.mean())\n", + "\n", + "\n", + "# ------------------------------------------------------------\n", + "# 10. WORST SERIES (MANUAL CHECK)\n", + "# ------------------------------------------------------------\n", + "\n", + "worst_series = (\n", + " df.groupby([\"Registrar Account - ID\",\"Product - Isin\"])\n", + " [\"gap_abs\"]\n", + " .max()\n", + " .sort_values(ascending=False)\n", + " .head(10)\n", + ")\n", + "\n", + "print(\"\\nWORST SERIES AFTER REPAIR\")\n", + "print(worst_series)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "f9a4fd91-bb8b-4172-a267-cbe7f2e4fae7", + "metadata": {}, + "outputs": [], + "source": [ + "print(\"RUPTURES BEFORE:\", summary[\"Before repair\"].iloc[0])\n", + "print(\"RUPTURES AFTER :\", summary[\"After repair\"].iloc[0])\n", + "print(\"REDUCTION RATE :\", 1 - summary[\"After repair\"].iloc[0] /\n", + " summary[\"Before repair\"].iloc[0])" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "68596521-a10a-479a-a6cd-36b6be3c55b9", + "metadata": {}, + "outputs": [], + "source": [ + "# CHECK IF REPAIR CREATED NEW NEGATIVE AUM\n", + "\n", + "df_compare = stocks.merge(\n", + " stocks_repaired,\n", + " on=[\"Registrar Account - ID\",\"Product - Isin\",\"Centralisation Date\"],\n", + " how=\"inner\",\n", + " suffixes=(\"_raw\",\"_repaired\")\n", + ")\n", + "\n", + "neg_raw = (\n", + " df_compare[df_compare[\"Quantity - AUM_raw\"] < 0]\n", + " .groupby([\"Registrar Account - ID\",\"Product - Isin\"])\n", + " .size()\n", + ")\n", + "\n", + "neg_rep = (\n", + " df_compare[df_compare[\"Quantity - AUM_repaired\"] < 0]\n", + " .groupby([\"Registrar Account - ID\",\"Product - Isin\"])\n", + " .size()\n", + ")\n", + "\n", + "print(\"Negative series BEFORE repair:\", len(neg_raw))\n", + "print(\"Negative series AFTER repair:\", len(neg_rep))\n", + "\n", + "created_neg = set(neg_rep.index) - set(neg_raw.index)\n", + "\n", + "print(\"\\nNumber of series where repair created negatives:\", len(created_neg))\n", + "\n", + "if len(created_neg) > 0:\n", + " print(\"\\nSeries concerned:\")\n", + " print(created_neg)\n", + "\n", + "\n", + "\n", + "for acc, isin in created_neg:\n", + "\n", + " sub = df_compare[\n", + " (df_compare[\"Registrar Account - ID\"] == acc) &\n", + " (df_compare[\"Product - Isin\"] == isin)\n", + " ].sort_values(\"Centralisation Date\").reset_index(drop=True)\n", + "\n", + " # indices where repaired AUM becomes negative\n", + " neg_idx = sub.index[sub[\"Quantity - AUM_repaired\"] < 0]\n", + "\n", + " print(\"\\n======================================\")\n", + " print(\"Account:\", acc, \"ISIN:\", isin)\n", + "\n", + " for i in neg_idx:\n", + "\n", + " start = max(0, i-3)\n", + " end = min(len(sub), i+3)\n", + "\n", + " print(\"\\nContext around created negative:\")\n", + " print(\n", + " sub.loc[start:end, [\n", + " \"Centralisation Date\",\n", + " \"Quantity - AUM_raw\",\n", + " \"Quantity - AUM_repaired\"\n", + " ]]\n", + " )" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "203797d1-c380-406d-ac6e-78c4e1228966", + "metadata": {}, + "outputs": [], + "source": [ + "# top N worst series\n", + "N = 20\n", + "\n", + "worst_series = (\n", + " df.groupby([\"Registrar Account - ID\",\"Product - Isin\"])[\"gap_abs\"]\n", + " .max()\n", + " .sort_values(ascending=False)\n", + " .head(N)\n", + ")\n", + "\n", + "print(worst_series)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "17c6be03-3b76-41e7-906f-d86472bda274", + "metadata": {}, + "outputs": [], + "source": [ + "def plot_account_series(account, isin):\n", + "\n", + " sub = df[\n", + " (df[\"Registrar Account - ID\"] == account) &\n", + " (df[\"Product - Isin\"] == isin)\n", + " ].sort_values(\"Centralisation Date\")\n", + "\n", + " plt.figure(figsize=(10,4))\n", + "\n", + " plt.plot(\n", + " sub[\"Centralisation Date\"],\n", + " sub[\"Quantity - AUM\"],\n", + " label=\"AUM\",\n", + " linewidth=2\n", + " )\n", + "\n", + " plt.plot(\n", + " sub[\"Centralisation Date\"],\n", + " sub[\"expected_aum\"],\n", + " linestyle=\"--\",\n", + " label=\"Expected AUM\"\n", + " )\n", + "\n", + " # highlight large gaps\n", + " ruptures = sub[sub[\"gap_abs\"] > 10]\n", + "\n", + " plt.scatter(\n", + " ruptures[\"Centralisation Date\"],\n", + " ruptures[\"Quantity - AUM\"],\n", + " color=\"red\",\n", + " label=\"Rupture\",\n", + " s=40\n", + " )\n", + "\n", + " plt.title(f\"Account {account} | ISIN {isin}\")\n", + " plt.legend()\n", + " plt.grid(alpha=0.3)\n", + "\n", + " plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "02a22e9a-a71c-4212-8f0a-f33c18e4b530", + "metadata": {}, + "outputs": [], + "source": [ + "for acc, isin in worst_series.index:\n", + " plot_account_series(acc, isin)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "c72e2dc2-c35d-4608-a3da-57a37acf64c7", + "metadata": {}, + "outputs": [], + "source": [ + "def run_data_challenge(stocks, flows):\n", + "\n", + " # conversion dates\n", + " stocks[\"Centralisation Date\"] = pd.to_datetime(stocks[\"Centralisation Date\"])\n", + " flows[\"Centralisation Date\"] = pd.to_datetime(flows[\"Centralisation Date\"])\n", + "\n", + " # merge datasets\n", + " df = stocks.merge(\n", + " flows,\n", + " on=[\"Registrar Account - ID\",\"Product - Isin\",\"Centralisation Date\"],\n", + " how=\"left\"\n", + " )\n", + "\n", + " df[\"Quantity - NetFlows\"] = df[\"Quantity - NetFlows\"].fillna(0)\n", + "\n", + " # sort\n", + " df = df.sort_values(\n", + " [\"Registrar Account - ID\",\"Product - Isin\",\"Centralisation Date\"]\n", + " )\n", + "\n", + " # previous values\n", + " df[\"prev_aum\"] = (\n", + " df.groupby([\"Registrar Account - ID\",\"Product - Isin\"])\n", + " [\"Quantity - AUM\"]\n", + " .shift(1)\n", + " )\n", + "\n", + " df[\"flow_lag\"] = (\n", + " df.groupby([\"Registrar Account - ID\",\"Product - Isin\"])\n", + " [\"Quantity - NetFlows\"]\n", + " .shift(1)\n", + " ).fillna(0)\n", + "\n", + " # expected AUM\n", + " df[\"expected_aum\"] = df[\"prev_aum\"] + df[\"flow_lag\"]\n", + "\n", + " # gap\n", + " df[\"gap\"] = df[\"Quantity - AUM\"] - df[\"expected_aum\"]\n", + "\n", + " # build score\n", + " df[\"score\"] = np.exp(-np.abs(df[\"gap\"]) / (df[\"expected_aum\"].abs()+1))\n", + "\n", + " # score timeline\n", + " score_timeline = (\n", + " df.groupby(\"Centralisation Date\")[\"score\"]\n", + " .sum()\n", + " .reset_index()\n", + " .rename(columns={\"Centralisation Date\":\"date\",\n", + " \"score\":\"sum_scores\"})\n", + " .sort_values(\"date\")\n", + " )\n", + "\n", + " code_changes = pd.DataFrame() # placeholder\n", + "\n", + " return score_timeline, code_changes" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "67787ce5-39ae-4a3a-ba22-e9d38bcaf8d3", + "metadata": {}, + "outputs": [], + "source": [ + "# ============================================================\n", + "# RUN DATA CHALLENGE ON RAW AND CLEAN DATASETS\n", + "# ============================================================\n", + "\n", + "DATASETS = {\n", + " \"raw\": \"stocks.csv\",\n", + " \"clean\": \"stock_repaired.csv\"\n", + "}\n", + "\n", + "results = {}\n", + "\n", + "for name, file in DATASETS.items():\n", + "\n", + " print(\"\\n====================================\")\n", + " print(\"RUNNING DATA CHALLENGE ON:\", name)\n", + " print(\"====================================\")\n", + "\n", + " # load datasets\n", + " stocks = pd.read_csv(file, low_memory=False)\n", + " flows = pd.read_csv(\"flows.csv\", low_memory=False)\n", + "\n", + " # run the full algorithm\n", + " score_timeline, code_changes = run_data_challenge(stocks, flows)\n", + "\n", + " # store results\n", + " results[name] = score_timeline.copy()\n", + "\n", + "\n", + "# ============================================================\n", + "# BUILD COMPARISON TABLE\n", + "# ============================================================\n", + "\n", + "comparison = (\n", + " results[\"raw\"][[\"date\", \"sum_scores\"]]\n", + " .rename(columns={\"sum_scores\": \"raw_scores\"})\n", + " .merge(\n", + " results[\"clean\"][[\"date\", \"sum_scores\"]]\n", + " .rename(columns={\"sum_scores\": \"clean_scores\"}),\n", + " on=\"date\",\n", + " how=\"outer\"\n", + " )\n", + " .sort_values(\"date\")\n", + ")\n", + "\n", + "# improvement from cleaning\n", + "comparison[\"improvement\"] = (\n", + " comparison[\"clean_scores\"] - comparison[\"raw_scores\"]\n", + ")\n", + "\n", + "# relative improvement\n", + "comparison[\"relative_improvement\"] = (\n", + " comparison[\"improvement\"] /\n", + " comparison[\"raw_scores\"].replace(0, np.nan)\n", + ")\n", + "\n", + "print(\"\\n==============================\")\n", + "print(\"RAW VS CLEAN SCORE COMPARISON\")\n", + "print(\"==============================\")\n", + "\n", + "print(comparison.head())\n", + "print(comparison.tail())" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "5bdb367f-3764-400a-a20d-793f8d004d82", + "metadata": {}, + "outputs": [], + "source": [ + "# ============================================================\n", + "# PARAMETERS\n", + "# ============================================================\n", + "\n", + "TARGET_DATE = pd.Timestamp(\"2025-10-31\")\n", + "AUM_THRESHOLD = 5_000_000\n", + "EXCLUDED = [\"OFF DISTRIBUTION\", \"PRIVATE CLIENTS\"]\n", + "\n", + "ALPHA = 5 # penalty strength for accounting error\n", + "\n", + "stocks[\"Centralisation Date\"] = pd.to_datetime(stocks[\"Centralisation Date\"])\n", + "flows[\"Centralisation Date\"] = pd.to_datetime(flows[\"Centralisation Date\"])\n", + "\n", + "stocks[\"Registrar Account - ID\"] = stocks[\"Registrar Account - ID\"].astype(str).str.strip()\n", + "flows[\"Registrar Account - ID\"] = flows[\"Registrar Account - ID\"].astype(str).str.strip()\n", + "\n", + "stocks[\"Product - Isin\"] = stocks[\"Product - Isin\"].astype(str)\n", + "flows[\"Product - Isin\"] = flows[\"Product - Isin\"].astype(str)\n", + "\n", + "# ============================================================\n", + "# REMOVE EXCLUDED ACCOUNTS\n", + "# ============================================================\n", + "\n", + "stocks = stocks[~stocks[\"Registrar Account - ID\"].str.upper().isin(EXCLUDED)]\n", + "flows = flows[~flows[\"Registrar Account - ID\"].str.upper().isin(EXCLUDED)]" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "b10832d6-988a-42cd-a6b6-4dfb690315b7", + "metadata": {}, + "outputs": [], + "source": [ + "# ============================================================\n", + "# SELECT UNIVERSE AT TARGET DATE\n", + "# ============================================================\n", + "\n", + "latest = stocks[stocks[\"Centralisation Date\"] == TARGET_DATE]\n", + "\n", + "account_aum = (\n", + " latest.groupby(\"Registrar Account - ID\")[\"Quantity - AUM\"]\n", + " .sum()\n", + " .sort_values(ascending=False)\n", + ")\n", + "\n", + "# remove negative values if any\n", + "account_aum = account_aum[account_aum > 0]\n", + "\n", + "# cumulative coverage\n", + "cum_aum = account_aum.cumsum()\n", + "total_aum = account_aum.sum()\n", + "\n", + "coverage = cum_aum / total_aum\n", + "\n", + "# select accounts covering 97% of AUM\n", + "selected_accounts = account_aum[coverage <= 0.97]\n", + "\n", + "# ensure at least one more account\n", + "selected_accounts = account_aum.iloc[:len(selected_accounts)+1]\n", + "\n", + "# weights at t0\n", + "weights = selected_accounts / selected_accounts.sum()\n", + "\n", + "print(\"\\nUNIVERSE SELECTION\")\n", + "print(\"------------------\")\n", + "print(\"Number of selected accounts:\", len(selected_accounts))\n", + "print(\"Coverage:\", selected_accounts.sum() / total_aum)\n", + "\n", + "print(\"\\nTop accounts:\")\n", + "print(selected_accounts.head(10))\n", + "\n", + "# ============================================================\n", + "# BUILD DATASET\n", + "# ============================================================\n", + "\n", + "df = stocks.merge(\n", + " flows,\n", + " on=[\"Registrar Account - ID\",\"Product - Isin\",\"Centralisation Date\"],\n", + " how=\"left\"\n", + ")\n", + "\n", + "df[\"Quantity - NetFlows\"] = df[\"Quantity - NetFlows\"].fillna(0)\n", + "\n", + "df = df.sort_values(\n", + " [\"Registrar Account - ID\",\"Product - Isin\",\"Centralisation Date\"]\n", + ")\n", + "\n", + "# ============================================================\n", + "# COMPUTE PREVIOUS VALUES\n", + "# ============================================================\n", + "\n", + "df[\"prev_aum\"] = (\n", + " df.groupby([\"Registrar Account - ID\",\"Product - Isin\"])\n", + " [\"Quantity - AUM\"]\n", + " .shift(1)\n", + ")\n", + "\n", + "df[\"flow_lag\"] = (\n", + " df.groupby([\"Registrar Account - ID\",\"Product - Isin\"])\n", + " [\"Quantity - NetFlows\"]\n", + " .shift(1)\n", + ").fillna(0)\n", + "\n", + "df[\"expected_aum\"] = df[\"prev_aum\"] + df[\"flow_lag\"]\n", + "\n", + "df[\"gap\"] = df[\"Quantity - AUM\"] - df[\"expected_aum\"]\n", + "\n", + "df[\"rel_error\"] = (\n", + " df[\"gap\"].abs() /\n", + " df[\"expected_aum\"].abs().clip(lower=1)\n", + ")\n", + "\n", + "# ============================================================\n", + "# ACCOUNT LEVEL ERROR\n", + "# ============================================================\n", + "\n", + "account_error = (\n", + " df.groupby([\"Centralisation Date\",\"Registrar Account - ID\"])\n", + " [\"rel_error\"]\n", + " .mean()\n", + " .reset_index()\n", + ")\n", + "\n", + "# ============================================================\n", + "# FAST SCORE BACKWARD PROPAGATION\n", + "# ============================================================\n", + "\n", + "# pivot errors into matrix\n", + "error_matrix = (\n", + " account_error\n", + " .pivot(\n", + " index=\"Centralisation Date\",\n", + " columns=\"Registrar Account - ID\",\n", + " values=\"rel_error\"\n", + " )\n", + ")\n", + "\n", + "# keep only selected accounts\n", + "error_matrix = error_matrix[selected_accounts.index]\n", + "\n", + "# fill missing errors\n", + "error_matrix = error_matrix.fillna(0)\n", + "\n", + "# keep only dates <= target\n", + "error_matrix = error_matrix.loc[error_matrix.index <= TARGET_DATE]\n", + "\n", + "# sort dates\n", + "error_matrix = error_matrix.sort_index()\n", + "\n", + "dates = error_matrix.index.values\n", + "\n", + "# convert to numpy for speed\n", + "errors = error_matrix.values\n", + "\n", + "# initial scores\n", + "scores = weights.loc[selected_accounts.index].values\n", + "\n", + "score_history = []\n", + "\n", + "# backward propagation\n", + "for i in range(len(dates)-1, -1, -1):\n", + "\n", + " err = errors[i]\n", + "\n", + " quality = np.exp(-ALPHA * err)\n", + "\n", + " scores = scores * quality\n", + "\n", + " score_history.append({\n", + " \"date\": dates[i],\n", + " \"sum_scores\": scores.sum()\n", + " })\n", + "\n", + "score_timeline = (\n", + " pd.DataFrame(score_history)\n", + " .sort_values(\"date\")\n", + ")\n", + "\n", + "# ============================================================\n", + "# NORMALISE\n", + "# ============================================================\n", + "\n", + "initial_score = score_timeline[\"sum_scores\"].iloc[-1]\n", + "\n", + "score_timeline[\"score_retention\"] = (\n", + " score_timeline[\"sum_scores\"] / initial_score\n", + ")\n", + "\n", + "# ============================================================\n", + "# RESULTS\n", + "# ============================================================\n", + "\n", + "print(\"\\nSCORE TIMELINE\")\n", + "print(score_timeline.head())\n", + "print(score_timeline.tail())\n", + "\n", + "# ============================================================\n", + "# PLOT\n", + "# ============================================================\n", + "\n", + "plt.figure(figsize=(8,4))\n", + "\n", + "plt.plot(\n", + " score_timeline[\"date\"],\n", + " score_timeline[\"score_retention\"]\n", + ")\n", + "\n", + "plt.title(\"Score retention when moving backward in time\")\n", + "plt.xlabel(\"Date\")\n", + "plt.ylabel(\"Σ Scores / Σ Scores (t0)\")\n", + "plt.grid(alpha=0.3)\n", + "\n", + "plt.show()\n", + "\n", + "# ============================================================\n", + "# SAVE\n", + "# ============================================================\n", + "\n", + "score_timeline.to_csv(\n", + " \"data_challenge_score_timeline.csv\",\n", + " index=False\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "86d82213-d155-4feb-817e-ef1df50578e8", + "metadata": {}, + "outputs": [], + "source": [ + "# ============================================================\n", + "# PRECOMPUTE PORTFOLIOS BY DATE\n", + "# ============================================================\n", + "\n", + "portfolio_by_date = {\n", + " d: g.droplevel(0)\n", + " for d, g in portfolio.groupby(level=0)\n", + "}\n", + "\n", + "flows_by_date = {\n", + " d: g.droplevel(0)\n", + " for d, g in flows_matrix.groupby(level=0)\n", + "}\n", + "\n", + "# ============================================================\n", + "# CODE SURGERY SEARCH (FAST + ROBUST)\n", + "# ============================================================\n", + "\n", + "code_changes = []\n", + "\n", + "for row in ruptures.itertuples():\n", + "\n", + " date = row._1\n", + " acc = row._2\n", + "\n", + " # find previous date\n", + " prev_date = score_timeline.loc[\n", + " score_timeline[\"date\"] < date,\n", + " \"date\"\n", + " ].max()\n", + "\n", + " if pd.isna(prev_date):\n", + " continue\n", + "\n", + " if date not in portfolio_by_date:\n", + " continue\n", + "\n", + " if prev_date not in portfolio_by_date:\n", + " continue\n", + "\n", + " # portfolio at t\n", + " port_today = portfolio_by_date[date]\n", + "\n", + " if acc not in port_today.index:\n", + " continue\n", + "\n", + " port_t = port_today.loc[acc]\n", + "\n", + " # portfolio at t-1\n", + " prev_port = portfolio_by_date[prev_date]\n", + "\n", + " # flows at t-1\n", + " prev_flow = flows_by_date.get(prev_date)\n", + "\n", + " # align flows to portfolio\n", + " if prev_flow is not None:\n", + "\n", + " prev_flow = (\n", + " prev_flow\n", + " .reindex(index=prev_port.index, columns=prev_port.columns)\n", + " .fillna(0)\n", + " )\n", + "\n", + " else:\n", + "\n", + " prev_flow = pd.DataFrame(\n", + " 0,\n", + " index=prev_port.index,\n", + " columns=prev_port.columns\n", + " )\n", + "\n", + " # convert to numpy\n", + " prev_port_mat = prev_port.values\n", + " prev_flow_mat = prev_flow.values\n", + "\n", + " # predicted portfolio\n", + " predicted = prev_port_mat + prev_flow_mat\n", + "\n", + " port_t_vec = port_t.reindex(prev_port.columns).fillna(0).values\n", + "\n", + " # compute error vectorised\n", + " diff = np.abs(predicted - port_t_vec)\n", + "\n", + " errors = diff.sum(axis=1) / (np.abs(port_t_vec).sum() + 1)\n", + "\n", + " if len(errors) == 0:\n", + " continue\n", + "\n", + " best_idx = errors.argmin()\n", + "\n", + " if best_idx >= len(prev_port.index):\n", + " continue\n", + "\n", + " best_code = prev_port.index[best_idx]\n", + " best_error = errors[best_idx]\n", + "\n", + " if best_code != acc and best_error < 0.3:\n", + "\n", + " code_changes.append({\n", + " \"date\": date,\n", + " \"old_code\": acc,\n", + " \"new_code\": best_code,\n", + " \"portfolio_error\": best_error\n", + " })\n", + "\n", + "\n", + "# ============================================================\n", + "# RESULTS\n", + "# ============================================================\n", + "\n", + "code_changes = pd.DataFrame(code_changes)\n", + "\n", + "print(\"\\nDetected distributor code changes:\")\n", + "print(code_changes.head())\n", + "\n", + "code_changes.to_csv(\"detected_code_changes.csv\", index=False)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "452b8321-26c5-4229-9992-43c38eb5253f", + "metadata": {}, + "outputs": [], + "source": [ + "def detect_code_changes(portfolio, flows_matrix, ruptures, score_timeline):\n", + "\n", + " # ============================================================\n", + " # PRECOMPUTE PORTFOLIOS BY DATE\n", + " # ============================================================\n", + "\n", + " portfolio_by_date = {\n", + " d: g.droplevel(0)\n", + " for d, g in portfolio.groupby(level=0)\n", + " }\n", + "\n", + " flows_by_date = {\n", + " d: g.droplevel(0)\n", + " for d, g in flows_matrix.groupby(level=0)\n", + " }\n", + "\n", + " # ============================================================\n", + " # CODE SURGERY SEARCH\n", + " # ============================================================\n", + "\n", + " code_changes = []\n", + "\n", + " for row in ruptures.itertuples():\n", + "\n", + " date = row._1\n", + " acc = row._2\n", + "\n", + " # find previous date\n", + " prev_date = score_timeline.loc[\n", + " score_timeline[\"date\"] < date,\n", + " \"date\"\n", + " ].max()\n", + "\n", + " if pd.isna(prev_date):\n", + " continue\n", + "\n", + " if date not in portfolio_by_date:\n", + " continue\n", + "\n", + " if prev_date not in portfolio_by_date:\n", + " continue\n", + "\n", + " # portfolio at t\n", + " port_today = portfolio_by_date[date]\n", + "\n", + " if acc not in port_today.index:\n", + " continue\n", + "\n", + " port_t = port_today.loc[acc]\n", + "\n", + " # portfolio at t-1\n", + " prev_port = portfolio_by_date[prev_date]\n", + "\n", + " # flows at t-1\n", + " prev_flow = flows_by_date.get(prev_date)\n", + "\n", + " # align flows to portfolio\n", + " if prev_flow is not None:\n", + "\n", + " prev_flow = (\n", + " prev_flow\n", + " .reindex(index=prev_port.index, columns=prev_port.columns)\n", + " .fillna(0)\n", + " )\n", + "\n", + " else:\n", + "\n", + " prev_flow = pd.DataFrame(\n", + " 0,\n", + " index=prev_port.index,\n", + " columns=prev_port.columns\n", + " )\n", + "\n", + " # convert to numpy\n", + " prev_port_mat = prev_port.values\n", + " prev_flow_mat = prev_flow.values\n", + "\n", + " # predicted portfolio\n", + " predicted = prev_port_mat + prev_flow_mat\n", + "\n", + " port_t_vec = port_t.reindex(prev_port.columns).fillna(0).values\n", + "\n", + " # compute error vectorised\n", + " diff = np.abs(predicted - port_t_vec)\n", + "\n", + " errors = diff.sum(axis=1) / (np.abs(port_t_vec).sum() + 1)\n", + "\n", + " if len(errors) == 0:\n", + " continue\n", + "\n", + " best_idx = errors.argmin()\n", + "\n", + " if best_idx >= len(prev_port.index):\n", + " continue\n", + "\n", + " best_code = prev_port.index[best_idx]\n", + " best_error = errors[best_idx]\n", + "\n", + " if best_code != acc and best_error < 0.3:\n", + "\n", + " code_changes.append({\n", + " \"date\": date,\n", + " \"old_code\": acc,\n", + " \"new_code\": best_code,\n", + " \"portfolio_error\": best_error\n", + " })\n", + "\n", + " # ============================================================\n", + " # RESULTS\n", + " # ============================================================\n", + "\n", + " code_changes = pd.DataFrame(code_changes)\n", + "\n", + " print(\"\\nDetected distributor code changes:\")\n", + " print(code_changes.head())\n", + "\n", + " # nouveau nom de fichier\n", + " code_changes.to_csv(\"detected_code_changes_filtered.csv\", index=False)\n", + "\n", + " return code_changes\n", + "\n", + "code_changes = detect_code_changes(\n", + " portfolio,\n", + " flows_matrix,\n", + " ruptures,\n", + " score_timeline\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "068da1e3-9de7-49d1-bda4-663b02f6d76a", + "metadata": {}, + "outputs": [], + "source": [ + "def detect_code_changes_fast(portfolio, flows_matrix, ruptures, score_timeline):\n", + "\n", + " # ============================================================\n", + " # PRECOMPUTE PORTFOLIOS BY DATE\n", + " # ============================================================\n", + "\n", + " portfolio_by_date = {\n", + " d: g.droplevel(0)\n", + " for d, g in portfolio.groupby(level=0)\n", + " }\n", + "\n", + " flows_by_date = {\n", + " d: g.droplevel(0)\n", + " for d, g in flows_matrix.groupby(level=0)\n", + " }\n", + "\n", + " # ============================================================\n", + " # PRECOMPUTE PREVIOUS DATES\n", + " # ============================================================\n", + "\n", + " dates = sorted(score_timeline[\"date\"].unique())\n", + "\n", + " prev_date_map = {\n", + " dates[i]: dates[i - 1] if i > 0 else None\n", + " for i in range(len(dates))\n", + " }\n", + "\n", + " # ============================================================\n", + " # CODE SURGERY SEARCH\n", + " # ============================================================\n", + "\n", + " code_changes = []\n", + "\n", + " from tqdm import tqdm\n", + " \n", + " for row in tqdm(ruptures.itertuples(), total=len(ruptures)):\n", + " date = row._1\n", + " acc = row._2\n", + "\n", + " prev_date = prev_date_map.get(date)\n", + "\n", + " if prev_date is None:\n", + " continue\n", + "\n", + " if date not in portfolio_by_date:\n", + " continue\n", + "\n", + " if prev_date not in portfolio_by_date:\n", + " continue\n", + "\n", + " port_today = portfolio_by_date[date]\n", + "\n", + " if acc not in port_today.index:\n", + " continue\n", + "\n", + " port_t = port_today.loc[acc]\n", + "\n", + " prev_port = portfolio_by_date[prev_date]\n", + "\n", + " # ========================================================\n", + " # LIMIT CANDIDATES (shared ISINs)\n", + " # ========================================================\n", + "\n", + " held_isins = port_t[port_t > 0].index\n", + "\n", + " if len(held_isins) == 0:\n", + " continue\n", + "\n", + " candidate_mask = prev_port[held_isins].sum(axis=1) > 0\n", + "\n", + " candidates = prev_port.index[candidate_mask]\n", + "\n", + " if len(candidates) == 0:\n", + " continue\n", + "\n", + " prev_port = prev_port.loc[candidates]\n", + "\n", + " prev_flow = flows_by_date.get(prev_date)\n", + "\n", + " if prev_flow is not None:\n", + "\n", + " prev_flow = prev_flow.reindex(\n", + " index=candidates,\n", + " columns=prev_port.columns\n", + " ).fillna(0)\n", + "\n", + " else:\n", + "\n", + " prev_flow = pd.DataFrame(\n", + " 0,\n", + " index=candidates,\n", + " columns=prev_port.columns\n", + " )\n", + "\n", + " # ========================================================\n", + " # VECTORISED ERROR COMPUTATION\n", + " # ========================================================\n", + "\n", + " prev_port_mat = prev_port.values\n", + " prev_flow_mat = prev_flow.values\n", + "\n", + " predicted = prev_port_mat + prev_flow_mat\n", + "\n", + " port_t_vec = port_t.reindex(prev_port.columns).fillna(0).values\n", + "\n", + " diff = np.abs(predicted - port_t_vec)\n", + "\n", + " errors = diff.sum(axis=1) / (np.abs(port_t_vec).sum() + 1)\n", + "\n", + " if len(errors) == 0:\n", + " continue\n", + "\n", + " best_idx = errors.argmin()\n", + "\n", + " best_code = prev_port.index[best_idx]\n", + " best_error = errors[best_idx]\n", + "\n", + " if best_code != acc and best_error < 0.3:\n", + "\n", + " code_changes.append({\n", + " \"date\": date,\n", + " \"old_code\": acc,\n", + " \"new_code\": best_code,\n", + " \"portfolio_error\": best_error\n", + " })\n", + "\n", + " # ============================================================\n", + " # RESULTS\n", + " # ============================================================\n", + "\n", + " code_changes = pd.DataFrame(code_changes)\n", + "\n", + " print(\"\\nDetected distributor code changes:\")\n", + " print(code_changes.head())\n", + "\n", + " code_changes.to_csv(\"detected_code_changes_fast.csv\", index=False)\n", + "\n", + " return code_changes" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "2b332049-db18-470a-9249-248f01e8ca36", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + " 11%|█ | 2068/18582 [00:24<03:14, 85.09it/s] \n" + ] + }, + { + "ename": "KeyboardInterrupt", + "evalue": "", + "output_type": "error", + "traceback": [ + "\u001b[31m---------------------------------------------------------------------------\u001b[39m", + "\u001b[31mKeyboardInterrupt\u001b[39m Traceback (most recent call last)", + "\u001b[36mCell\u001b[39m\u001b[36m \u001b[39m\u001b[32mIn[3]\u001b[39m\u001b[32m, line 145\u001b[39m\n\u001b[32m 138\u001b[39m \u001b[38;5;28;01mreturn\u001b[39;00m code_changes\n\u001b[32m 141\u001b[39m \u001b[38;5;66;03m# ============================================================\u001b[39;00m\n\u001b[32m 142\u001b[39m \u001b[38;5;66;03m# RUN\u001b[39;00m\n\u001b[32m 143\u001b[39m \u001b[38;5;66;03m# ============================================================\u001b[39;00m\n\u001b[32m--> \u001b[39m\u001b[32m145\u001b[39m code_changes = \u001b[43mdetect_code_changes_fast\u001b[49m\u001b[43m(\u001b[49m\n\u001b[32m 146\u001b[39m \u001b[43m \u001b[49m\u001b[43mportfolio\u001b[49m\u001b[43m,\u001b[49m\n\u001b[32m 147\u001b[39m \u001b[43m \u001b[49m\u001b[43mflows_matrix\u001b[49m\u001b[43m,\u001b[49m\n\u001b[32m 148\u001b[39m \u001b[43m \u001b[49m\u001b[43mruptures\u001b[49m\u001b[43m,\u001b[49m\n\u001b[32m 149\u001b[39m \u001b[43m \u001b[49m\u001b[43mscore_timeline\u001b[49m\n\u001b[32m 150\u001b[39m \u001b[43m)\u001b[49m\n", + "\u001b[36mCell\u001b[39m\u001b[36m \u001b[39m\u001b[32mIn[3]\u001b[39m\u001b[32m, line 69\u001b[39m, in \u001b[36mdetect_code_changes_fast\u001b[39m\u001b[34m(portfolio, flows_matrix, ruptures, score_timeline)\u001b[39m\n\u001b[32m 66\u001b[39m \u001b[38;5;28;01mif\u001b[39;00m \u001b[38;5;28mlen\u001b[39m(held_isins) == \u001b[32m0\u001b[39m:\n\u001b[32m 67\u001b[39m \u001b[38;5;28;01mcontinue\u001b[39;00m\n\u001b[32m---> \u001b[39m\u001b[32m69\u001b[39m candidate_mask = \u001b[43mprev_port\u001b[49m\u001b[43m[\u001b[49m\u001b[43mheld_isins\u001b[49m\u001b[43m]\u001b[49m\u001b[43m.\u001b[49m\u001b[43msum\u001b[49m\u001b[43m(\u001b[49m\u001b[43maxis\u001b[49m\u001b[43m=\u001b[49m\u001b[32;43m1\u001b[39;49m\u001b[43m)\u001b[49m > \u001b[32m0\u001b[39m\n\u001b[32m 71\u001b[39m candidates = prev_port.index[candidate_mask]\n\u001b[32m 73\u001b[39m \u001b[38;5;28;01mif\u001b[39;00m \u001b[38;5;28mlen\u001b[39m(candidates) == \u001b[32m0\u001b[39m:\n", + "\u001b[36mFile \u001b[39m\u001b[32m/opt/python/lib/python3.13/site-packages/pandas/core/frame.py:11697\u001b[39m, in \u001b[36mDataFrame.sum\u001b[39m\u001b[34m(self, axis, skipna, numeric_only, min_count, **kwargs)\u001b[39m\n\u001b[32m 11688\u001b[39m \u001b[38;5;129m@doc\u001b[39m(make_doc(\u001b[33m\"\u001b[39m\u001b[33msum\u001b[39m\u001b[33m\"\u001b[39m, ndim=\u001b[32m2\u001b[39m))\n\u001b[32m 11689\u001b[39m \u001b[38;5;28;01mdef\u001b[39;00m\u001b[38;5;250m \u001b[39m\u001b[34msum\u001b[39m(\n\u001b[32m 11690\u001b[39m \u001b[38;5;28mself\u001b[39m,\n\u001b[32m (...)\u001b[39m\u001b[32m 11695\u001b[39m **kwargs,\n\u001b[32m 11696\u001b[39m ):\n\u001b[32m> \u001b[39m\u001b[32m11697\u001b[39m result = \u001b[38;5;28;43msuper\u001b[39;49m\u001b[43m(\u001b[49m\u001b[43m)\u001b[49m\u001b[43m.\u001b[49m\u001b[43msum\u001b[49m\u001b[43m(\u001b[49m\u001b[43maxis\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mskipna\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mnumeric_only\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mmin_count\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43m*\u001b[49m\u001b[43m*\u001b[49m\u001b[43mkwargs\u001b[49m\u001b[43m)\u001b[49m\n\u001b[32m 11698\u001b[39m \u001b[38;5;28;01mreturn\u001b[39;00m result.__finalize__(\u001b[38;5;28mself\u001b[39m, method=\u001b[33m\"\u001b[39m\u001b[33msum\u001b[39m\u001b[33m\"\u001b[39m)\n", + "\u001b[36mFile \u001b[39m\u001b[32m/opt/python/lib/python3.13/site-packages/pandas/core/generic.py:12571\u001b[39m, in \u001b[36mNDFrame.sum\u001b[39m\u001b[34m(self, axis, skipna, numeric_only, min_count, **kwargs)\u001b[39m\n\u001b[32m 12563\u001b[39m \u001b[38;5;28;01mdef\u001b[39;00m\u001b[38;5;250m \u001b[39m\u001b[34msum\u001b[39m(\n\u001b[32m 12564\u001b[39m \u001b[38;5;28mself\u001b[39m,\n\u001b[32m 12565\u001b[39m axis: Axis | \u001b[38;5;28;01mNone\u001b[39;00m = \u001b[32m0\u001b[39m,\n\u001b[32m (...)\u001b[39m\u001b[32m 12569\u001b[39m **kwargs,\n\u001b[32m 12570\u001b[39m ):\n\u001b[32m> \u001b[39m\u001b[32m12571\u001b[39m \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[38;5;28;43mself\u001b[39;49m\u001b[43m.\u001b[49m\u001b[43m_min_count_stat_function\u001b[49m\u001b[43m(\u001b[49m\n\u001b[32m 12572\u001b[39m \u001b[43m \u001b[49m\u001b[33;43m\"\u001b[39;49m\u001b[33;43msum\u001b[39;49m\u001b[33;43m\"\u001b[39;49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mnanops\u001b[49m\u001b[43m.\u001b[49m\u001b[43mnansum\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43maxis\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mskipna\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mnumeric_only\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mmin_count\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43m*\u001b[49m\u001b[43m*\u001b[49m\u001b[43mkwargs\u001b[49m\n\u001b[32m 12573\u001b[39m \u001b[43m \u001b[49m\u001b[43m)\u001b[49m\n", + "\u001b[36mFile \u001b[39m\u001b[32m/opt/python/lib/python3.13/site-packages/pandas/core/generic.py:12554\u001b[39m, in \u001b[36mNDFrame._min_count_stat_function\u001b[39m\u001b[34m(self, name, func, axis, skipna, numeric_only, min_count, **kwargs)\u001b[39m\n\u001b[32m 12551\u001b[39m \u001b[38;5;28;01melif\u001b[39;00m axis \u001b[38;5;129;01mis\u001b[39;00m lib.no_default:\n\u001b[32m 12552\u001b[39m axis = \u001b[32m0\u001b[39m\n\u001b[32m> \u001b[39m\u001b[32m12554\u001b[39m \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[38;5;28;43mself\u001b[39;49m\u001b[43m.\u001b[49m\u001b[43m_reduce\u001b[49m\u001b[43m(\u001b[49m\n\u001b[32m 12555\u001b[39m \u001b[43m \u001b[49m\u001b[43mfunc\u001b[49m\u001b[43m,\u001b[49m\n\u001b[32m 12556\u001b[39m \u001b[43m \u001b[49m\u001b[43mname\u001b[49m\u001b[43m=\u001b[49m\u001b[43mname\u001b[49m\u001b[43m,\u001b[49m\n\u001b[32m 12557\u001b[39m \u001b[43m \u001b[49m\u001b[43maxis\u001b[49m\u001b[43m=\u001b[49m\u001b[43maxis\u001b[49m\u001b[43m,\u001b[49m\n\u001b[32m 12558\u001b[39m \u001b[43m \u001b[49m\u001b[43mskipna\u001b[49m\u001b[43m=\u001b[49m\u001b[43mskipna\u001b[49m\u001b[43m,\u001b[49m\n\u001b[32m 12559\u001b[39m \u001b[43m \u001b[49m\u001b[43mnumeric_only\u001b[49m\u001b[43m=\u001b[49m\u001b[43mnumeric_only\u001b[49m\u001b[43m,\u001b[49m\n\u001b[32m 12560\u001b[39m \u001b[43m \u001b[49m\u001b[43mmin_count\u001b[49m\u001b[43m=\u001b[49m\u001b[43mmin_count\u001b[49m\u001b[43m,\u001b[49m\n\u001b[32m 12561\u001b[39m \u001b[43m\u001b[49m\u001b[43m)\u001b[49m\n", + "\u001b[36mFile \u001b[39m\u001b[32m/opt/python/lib/python3.13/site-packages/pandas/core/frame.py:11593\u001b[39m, in \u001b[36mDataFrame._reduce\u001b[39m\u001b[34m(self, op, name, axis, skipna, numeric_only, filter_type, **kwds)\u001b[39m\n\u001b[32m 11591\u001b[39m \u001b[38;5;28;01mif\u001b[39;00m out_dtype \u001b[38;5;129;01mis\u001b[39;00m \u001b[38;5;129;01mnot\u001b[39;00m \u001b[38;5;28;01mNone\u001b[39;00m \u001b[38;5;129;01mand\u001b[39;00m out.dtype != \u001b[33m\"\u001b[39m\u001b[33mboolean\u001b[39m\u001b[33m\"\u001b[39m:\n\u001b[32m 11592\u001b[39m out = out.astype(out_dtype)\n\u001b[32m> \u001b[39m\u001b[32m11593\u001b[39m \u001b[38;5;28;01melif\u001b[39;00m (\u001b[43mdf\u001b[49m\u001b[43m.\u001b[49m\u001b[43m_mgr\u001b[49m\u001b[43m.\u001b[49m\u001b[43mget_dtypes\u001b[49m\u001b[43m(\u001b[49m\u001b[43m)\u001b[49m == \u001b[38;5;28mobject\u001b[39m).any() \u001b[38;5;129;01mand\u001b[39;00m name \u001b[38;5;129;01mnot\u001b[39;00m \u001b[38;5;129;01min\u001b[39;00m [\u001b[33m\"\u001b[39m\u001b[33many\u001b[39m\u001b[33m\"\u001b[39m, \u001b[33m\"\u001b[39m\u001b[33mall\u001b[39m\u001b[33m\"\u001b[39m]:\n\u001b[32m 11594\u001b[39m out = out.astype(\u001b[38;5;28mobject\u001b[39m)\n\u001b[32m 11595\u001b[39m \u001b[38;5;28;01melif\u001b[39;00m \u001b[38;5;28mlen\u001b[39m(\u001b[38;5;28mself\u001b[39m) == \u001b[32m0\u001b[39m \u001b[38;5;129;01mand\u001b[39;00m out.dtype == \u001b[38;5;28mobject\u001b[39m \u001b[38;5;129;01mand\u001b[39;00m name \u001b[38;5;129;01min\u001b[39;00m (\u001b[33m\"\u001b[39m\u001b[33msum\u001b[39m\u001b[33m\"\u001b[39m, \u001b[33m\"\u001b[39m\u001b[33mprod\u001b[39m\u001b[33m\"\u001b[39m):\n\u001b[32m 11596\u001b[39m \u001b[38;5;66;03m# Even if we are object dtype, follow numpy and return\u001b[39;00m\n\u001b[32m 11597\u001b[39m \u001b[38;5;66;03m# float64, see test_apply_funcs_over_empty\u001b[39;00m\n", + "\u001b[36mFile \u001b[39m\u001b[32m/opt/python/lib/python3.13/site-packages/pandas/core/internals/managers.py:289\u001b[39m, in \u001b[36mBaseBlockManager.get_dtypes\u001b[39m\u001b[34m(self)\u001b[39m\n\u001b[32m 287\u001b[39m \u001b[38;5;28;01mdef\u001b[39;00m\u001b[38;5;250m \u001b[39m\u001b[34mget_dtypes\u001b[39m(\u001b[38;5;28mself\u001b[39m) -> npt.NDArray[np.object_]:\n\u001b[32m 288\u001b[39m dtypes = np.array([blk.dtype \u001b[38;5;28;01mfor\u001b[39;00m blk \u001b[38;5;129;01min\u001b[39;00m \u001b[38;5;28mself\u001b[39m.blocks], dtype=\u001b[38;5;28mobject\u001b[39m)\n\u001b[32m--> \u001b[39m\u001b[32m289\u001b[39m \u001b[38;5;28;01mreturn\u001b[39;00m dtypes.take(\u001b[38;5;28;43mself\u001b[39;49m\u001b[43m.\u001b[49m\u001b[43mblknos\u001b[49m)\n", + "\u001b[36mFile \u001b[39m\u001b[32m/opt/python/lib/python3.13/site-packages/pandas/core/internals/managers.py:192\u001b[39m, in \u001b[36mBaseBlockManager.blknos\u001b[39m\u001b[34m(self)\u001b[39m\n\u001b[32m 182\u001b[39m \u001b[38;5;250m\u001b[39m\u001b[33;03m\"\"\"\u001b[39;00m\n\u001b[32m 183\u001b[39m \u001b[33;03mSuppose we want to find the array corresponding to our i'th column.\u001b[39;00m\n\u001b[32m 184\u001b[39m \n\u001b[32m (...)\u001b[39m\u001b[32m 188\u001b[39m \u001b[33;03mself.blocks[self.blknos[i]]\u001b[39;00m\n\u001b[32m 189\u001b[39m \u001b[33;03m\"\"\"\u001b[39;00m\n\u001b[32m 190\u001b[39m \u001b[38;5;28;01mif\u001b[39;00m \u001b[38;5;28mself\u001b[39m._blknos \u001b[38;5;129;01mis\u001b[39;00m \u001b[38;5;28;01mNone\u001b[39;00m:\n\u001b[32m 191\u001b[39m \u001b[38;5;66;03m# Note: these can be altered by other BlockManager methods.\u001b[39;00m\n\u001b[32m--> \u001b[39m\u001b[32m192\u001b[39m \u001b[38;5;28;43mself\u001b[39;49m\u001b[43m.\u001b[49m\u001b[43m_rebuild_blknos_and_blklocs\u001b[49m\u001b[43m(\u001b[49m\u001b[43m)\u001b[49m\n\u001b[32m 194\u001b[39m \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[38;5;28mself\u001b[39m._blknos\n", + "\u001b[31mKeyboardInterrupt\u001b[39m: " + ] + } + ], + "source": [ + "# ============================================================\n", + "# RUN\n", + "# ============================================================\n", + "\n", + "code_changes = detect_code_changes_fast(\n", + " portfolio,\n", + " flows_matrix,\n", + " ruptures,\n", + " score_timeline\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "3054206e-13b8-4931-a1d8-e3cbb97eab7a", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "====================================\n", + "RUNNING DATA CHALLENGE ON: raw\n", + "====================================\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "100%|██████████| 18582/18582 [02:27<00:00, 126.15it/s]\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "Detected distributor code changes:\n", + " date old_code new_code portfolio_error\n", + "0 2015-02-28 200001285 200001992 0.090028\n", + "1 2015-02-28 200001771 420304 0.049979\n", + "2 2015-02-28 200001894 366541 0.215146\n", + "3 2015-02-28 200002064 412736 0.210827\n", + "4 2015-02-28 200002109 406337 0.173276\n", + "\n", + "====================================\n", + "RUNNING DATA CHALLENGE ON: clean\n", + "====================================\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "100%|██████████| 18521/18521 [02:34<00:00, 119.82it/s]\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "Detected distributor code changes:\n", + " date old_code new_code portfolio_error\n", + "0 2015-02-28 200001285 200001992 0.090028\n", + "1 2015-02-28 200001771 420304 0.049979\n", + "2 2015-02-28 200001894 366541 0.215146\n", + "3 2015-02-28 200002064 412736 0.210827\n", + "4 2015-02-28 200002109 406337 0.173276\n", + "\n", + "==============================\n", + "RAW VS CLEAN SCORE COMPARISON\n", + "==============================\n", + " date raw_scores clean_scores improvement relative_improvement\n", + "0 2015-01-31 5639.521248 5639.524696 0.003448 6.113170e-07\n", + "1 2015-02-28 5639.521248 5639.524696 0.003448 6.113170e-07\n", + "2 2015-03-31 5656.707028 5656.722266 0.015238 2.693820e-06\n", + "3 2015-04-30 5701.063923 5701.084181 0.020258 3.553334e-06\n", + "4 2015-05-31 5728.963044 5728.994764 0.031720 5.536759e-06\n", + " date raw_scores clean_scores improvement relative_improvement\n", + "125 2025-06-30 11703.280129 11703.402856 0.122727 0.000010\n", + "126 2025-07-31 11855.613232 11855.796565 0.183333 0.000015\n", + "127 2025-08-31 11962.226141 11962.553334 0.327193 0.000027\n", + "128 2025-09-30 12046.634770 12046.966956 0.332185 0.000028\n", + "129 2025-10-31 12189.843400 12190.351082 0.507683 0.000042\n" + ] + } + ], + "source": [ + "# ============================================================\n", + "# RUN DATA CHALLENGE ON RAW AND CLEAN DATASETS\n", + "# ============================================================\n", + "\n", + "DATASETS = {\n", + " \"raw\": \"stocks.csv\",\n", + " \"clean\": \"stock_repaired.csv\"\n", + "}\n", + "\n", + "results = {}\n", + "code_changes_results = {}\n", + "\n", + "for name, file in DATASETS.items():\n", + "\n", + " print(\"\\n====================================\")\n", + " print(\"RUNNING DATA CHALLENGE ON:\", name)\n", + " print(\"====================================\")\n", + "\n", + " # ============================================================\n", + " # LOAD DATA\n", + " # ============================================================\n", + "\n", + " stocks = pd.read_csv(file, low_memory=False)\n", + " flows = pd.read_csv(\"flows.csv\", low_memory=False)\n", + "\n", + " stocks[\"Centralisation Date\"] = pd.to_datetime(stocks[\"Centralisation Date\"])\n", + " flows[\"Centralisation Date\"] = pd.to_datetime(flows[\"Centralisation Date\"])\n", + "\n", + " stocks[\"Registrar Account - ID\"] = stocks[\"Registrar Account - ID\"].astype(str).str.strip()\n", + " flows[\"Registrar Account - ID\"] = flows[\"Registrar Account - ID\"].astype(str).str.strip()\n", + "\n", + " stocks[\"Product - Isin\"] = stocks[\"Product - Isin\"].astype(str)\n", + " flows[\"Product - Isin\"] = flows[\"Product - Isin\"].astype(str)\n", + "\n", + " # ============================================================\n", + " # BUILD DATASET\n", + " # ============================================================\n", + "\n", + " df = stocks.merge(\n", + " flows,\n", + " on=[\"Registrar Account - ID\",\"Product - Isin\",\"Centralisation Date\"],\n", + " how=\"left\"\n", + " )\n", + "\n", + " df[\"Quantity - NetFlows\"] = df[\"Quantity - NetFlows\"].fillna(0)\n", + "\n", + " df = df.sort_values(\n", + " [\"Registrar Account - ID\",\"Product - Isin\",\"Centralisation Date\"]\n", + " )\n", + "\n", + " # ============================================================\n", + " # ACCOUNTING IDENTITY\n", + " # ============================================================\n", + "\n", + " df[\"prev_aum\"] = (\n", + " df.groupby([\"Registrar Account - ID\",\"Product - Isin\"])\n", + " [\"Quantity - AUM\"]\n", + " .shift(1)\n", + " )\n", + "\n", + " df[\"flow_lag\"] = (\n", + " df.groupby([\"Registrar Account - ID\",\"Product - Isin\"])\n", + " [\"Quantity - NetFlows\"]\n", + " .shift(1)\n", + " ).fillna(0)\n", + "\n", + " df[\"expected_aum\"] = df[\"prev_aum\"] + df[\"flow_lag\"]\n", + "\n", + " df[\"gap\"] = df[\"Quantity - AUM\"] - df[\"expected_aum\"]\n", + "\n", + " df[\"rel_error\"] = (\n", + " df[\"gap\"].abs() /\n", + " df[\"expected_aum\"].abs().clip(lower=1)\n", + " )\n", + "\n", + " # ============================================================\n", + " # ACCOUNT LEVEL ERROR\n", + " # ============================================================\n", + "\n", + " account_error = (\n", + " df.groupby([\"Centralisation Date\",\"Registrar Account - ID\"])\n", + " [\"rel_error\"]\n", + " .mean()\n", + " .reset_index()\n", + " )\n", + "\n", + " RUPTURE_THRESHOLD = 0.5\n", + "\n", + " ruptures = account_error[\n", + " account_error[\"rel_error\"] > RUPTURE_THRESHOLD\n", + " ]\n", + "\n", + " # ============================================================\n", + " # BUILD PORTFOLIO MATRICES\n", + " # ============================================================\n", + "\n", + " portfolio = (\n", + " stocks\n", + " .pivot_table(\n", + " index=[\"Centralisation Date\",\"Registrar Account - ID\"],\n", + " columns=\"Product - Isin\",\n", + " values=\"Quantity - AUM\",\n", + " aggfunc=\"sum\"\n", + " )\n", + " .fillna(0)\n", + " )\n", + "\n", + " flows_matrix = (\n", + " flows\n", + " .pivot_table(\n", + " index=[\"Centralisation Date\",\"Registrar Account - ID\"],\n", + " columns=\"Product - Isin\",\n", + " values=\"Quantity - NetFlows\",\n", + " aggfunc=\"sum\"\n", + " )\n", + " .fillna(0)\n", + " )\n", + "\n", + " # ============================================================\n", + " # SCORE COMPUTATION\n", + " # ============================================================\n", + "\n", + " error_matrix = (\n", + " account_error\n", + " .pivot(\n", + " index=\"Centralisation Date\",\n", + " columns=\"Registrar Account - ID\",\n", + " values=\"rel_error\"\n", + " )\n", + " .fillna(0)\n", + " )\n", + "\n", + " dates = error_matrix.index.values\n", + " errors = error_matrix.values\n", + "\n", + " scores = np.ones(errors.shape[1])\n", + "\n", + " score_history = []\n", + "\n", + " for i in range(len(dates)-1, -1, -1):\n", + "\n", + " quality = np.exp(-5 * errors[i])\n", + "\n", + " scores = scores * quality\n", + "\n", + " score_history.append({\n", + " \"date\": dates[i],\n", + " \"sum_scores\": scores.sum()\n", + " })\n", + "\n", + " score_timeline = (\n", + " pd.DataFrame(score_history)\n", + " .sort_values(\"date\")\n", + " )\n", + "\n", + " initial_score = score_timeline[\"sum_scores\"].iloc[-1]\n", + "\n", + " score_timeline[\"score_retention\"] = (\n", + " score_timeline[\"sum_scores\"] / initial_score\n", + " )\n", + "\n", + " results[name] = score_timeline.copy()\n", + "\n", + " # ============================================================\n", + " # CODE SURGERY\n", + " # ============================================================\n", + "\n", + " code_changes = detect_code_changes_fast(\n", + " portfolio,\n", + " flows_matrix,\n", + " ruptures,\n", + " score_timeline\n", + " )\n", + "\n", + " code_changes_results[name] = code_changes\n", + "\n", + "\n", + "# ============================================================\n", + "# BUILD COMPARISON TABLE\n", + "# ============================================================\n", + "\n", + "comparison = (\n", + " results[\"raw\"][[\"date\", \"sum_scores\"]]\n", + " .rename(columns={\"sum_scores\": \"raw_scores\"})\n", + " .merge(\n", + " results[\"clean\"][[\"date\", \"sum_scores\"]]\n", + " .rename(columns={\"sum_scores\": \"clean_scores\"}),\n", + " on=\"date\",\n", + " how=\"outer\"\n", + " )\n", + " .sort_values(\"date\")\n", + ")\n", + "\n", + "comparison[\"improvement\"] = (\n", + " comparison[\"clean_scores\"] - comparison[\"raw_scores\"]\n", + ")\n", + "\n", + "comparison[\"relative_improvement\"] = (\n", + " comparison[\"improvement\"] /\n", + " comparison[\"raw_scores\"].replace(0, np.nan)\n", + ")\n", + "\n", + "print(\"\\n==============================\")\n", + "print(\"RAW VS CLEAN SCORE COMPARISON\")\n", + "print(\"==============================\")\n", + "\n", + "print(comparison.head())\n", + "print(comparison.tail())" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "15c60063-b8e5-43f0-a662-67a2f5601408", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "TOTAL RAW SCORE : 1102753.964620689\n", + "TOTAL CLEAN SCORE : 1102778.1794964853\n", + "ABSOLUTE IMPROVEMENT : 24.21487579634413\n", + "RELATIVE IMPROVEMENT : 2.1958547938363796e-05\n" + ] + } + ], + "source": [ + "total_raw = comparison[\"raw_scores\"].sum()\n", + "total_clean = comparison[\"clean_scores\"].sum()\n", + "\n", + "absolute_gain = total_clean - total_raw\n", + "relative_gain = absolute_gain / total_raw\n", + "\n", + "print(\"TOTAL RAW SCORE :\", total_raw)\n", + "print(\"TOTAL CLEAN SCORE :\", total_clean)\n", + "\n", + "print(\"ABSOLUTE IMPROVEMENT :\", absolute_gain)\n", + "print(\"RELATIVE IMPROVEMENT :\", relative_gain)" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "28f02823-483c-4ed8-bf24-912c5ca7f7d3", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(10,5))\n", + "\n", + "plt.plot(comparison[\"date\"], comparison[\"raw_scores\"], label=\"Raw\")\n", + "plt.plot(comparison[\"date\"], comparison[\"clean_scores\"], label=\"Clean\")\n", + "\n", + "plt.legend()\n", + "plt.title(\"Score comparison: raw vs cleaned data\")\n", + "plt.grid(alpha=0.3)\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "id": "a002234f-deec-4283-8245-ffac74f1930b", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[None]" + ] + }, + "execution_count": 14, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "import os\n", + "import s3fs\n", + "os.environ[\"AWS_ACCESS_KEY_ID\"] = 'N0C5PK75FDX2WXI8OVP1'\n", + "os.environ[\"AWS_SECRET_ACCESS_KEY\"] = 'nZvC2urUkG7EvhDsFDyaOslqr160aoWMs+5MP3Ft'\n", + "os.environ[\"AWS_SESSION_TOKEN\"] = 'eyJhbGciOiJIUzUxMiIsInR5cCI6IkpXVCJ9.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.hl_SekvaH9A22PMb3W0VQBSNO67LnaneIuLC-X5XBnzOO5GLV61aocDRfYC6hvVVhdzyewSTtD2kvdyJdeu6qA'\n", + "os.environ[\"AWS_DEFAULT_REGION\"] = 'us-east-1'\n", + "fs = s3fs.S3FileSystem(\n", + " client_kwargs={'endpoint_url': 'https://'+'minio-simple.lab.groupe-genes.fr'},\n", + " key = os.environ[\"AWS_ACCESS_KEY_ID\"], \n", + " secret = os.environ[\"AWS_SECRET_ACCESS_KEY\"], \n", + " token = os.environ[\"AWS_SESSION_TOKEN\"])\n", + "\n", + "# 3️⃣ Upload du CSV\n", + "local_file = \"stock_repaired.csv\"\n", + "s3_path = \"projet-bdc-carmignac-g3\"\n", + "\n", + "fs.put(local_file, s3_path)" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "id": "eeb8f32c-c717-4d48-85c5-248661b5a945", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "====================================\n", + "RUNNING COHERENCE SCORE ON: raw\n", + "====================================\n", + "GLOBAL SCORE: 0.756699778421513\n", + "\n", + "====================================\n", + "RUNNING COHERENCE SCORE ON: clean\n", + "====================================\n" + ] + }, + { + "ename": "KeyError", + "evalue": "'Centralisation Date'", + "output_type": "error", + "traceback": [ + "\u001b[31m---------------------------------------------------------------------------\u001b[39m", + "\u001b[31mKeyError\u001b[39m Traceback (most recent call last)", + "\u001b[36mFile \u001b[39m\u001b[32m/opt/python/lib/python3.13/site-packages/pandas/core/indexes/base.py:3812\u001b[39m, in \u001b[36mIndex.get_loc\u001b[39m\u001b[34m(self, key)\u001b[39m\n\u001b[32m 3811\u001b[39m \u001b[38;5;28;01mtry\u001b[39;00m:\n\u001b[32m-> \u001b[39m\u001b[32m3812\u001b[39m \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[38;5;28;43mself\u001b[39;49m\u001b[43m.\u001b[49m\u001b[43m_engine\u001b[49m\u001b[43m.\u001b[49m\u001b[43mget_loc\u001b[49m\u001b[43m(\u001b[49m\u001b[43mcasted_key\u001b[49m\u001b[43m)\u001b[49m\n\u001b[32m 3813\u001b[39m \u001b[38;5;28;01mexcept\u001b[39;00m \u001b[38;5;167;01mKeyError\u001b[39;00m \u001b[38;5;28;01mas\u001b[39;00m err:\n", + "\u001b[36mFile \u001b[39m\u001b[32mpandas/_libs/index.pyx:167\u001b[39m, in \u001b[36mpandas._libs.index.IndexEngine.get_loc\u001b[39m\u001b[34m()\u001b[39m\n", + "\u001b[36mFile \u001b[39m\u001b[32mpandas/_libs/index.pyx:196\u001b[39m, in \u001b[36mpandas._libs.index.IndexEngine.get_loc\u001b[39m\u001b[34m()\u001b[39m\n", + "\u001b[36mFile \u001b[39m\u001b[32mpandas/_libs/hashtable_class_helper.pxi:7088\u001b[39m, in \u001b[36mpandas._libs.hashtable.PyObjectHashTable.get_item\u001b[39m\u001b[34m()\u001b[39m\n", + "\u001b[36mFile \u001b[39m\u001b[32mpandas/_libs/hashtable_class_helper.pxi:7096\u001b[39m, in \u001b[36mpandas._libs.hashtable.PyObjectHashTable.get_item\u001b[39m\u001b[34m()\u001b[39m\n", + "\u001b[31mKeyError\u001b[39m: 'Centralisation Date'", + "\nThe above exception was the direct cause of the following exception:\n", + "\u001b[31mKeyError\u001b[39m Traceback (most recent call last)", + "\u001b[36mCell\u001b[39m\u001b[36m \u001b[39m\u001b[32mIn[16]\u001b[39m\u001b[32m, line 45\u001b[39m\n\u001b[32m 39\u001b[39m \u001b[38;5;66;03m# --------------------------------------------------------\u001b[39;00m\n\u001b[32m 40\u001b[39m \u001b[38;5;66;03m# LOAD STOCKS\u001b[39;00m\n\u001b[32m 41\u001b[39m \u001b[38;5;66;03m# --------------------------------------------------------\u001b[39;00m\n\u001b[32m 43\u001b[39m stocks = pd.read_csv(stock_file, low_memory=\u001b[38;5;28;01mFalse\u001b[39;00m)\n\u001b[32m---> \u001b[39m\u001b[32m45\u001b[39m stocks[\u001b[33m\"\u001b[39m\u001b[33mCentralisation Date\u001b[39m\u001b[33m\"\u001b[39m] = pd.to_datetime(\u001b[43mstocks\u001b[49m\u001b[43m[\u001b[49m\u001b[33;43m\"\u001b[39;49m\u001b[33;43mCentralisation Date\u001b[39;49m\u001b[33;43m\"\u001b[39;49m\u001b[43m]\u001b[49m)\n\u001b[32m 46\u001b[39m stocks[\u001b[33m\"\u001b[39m\u001b[33mRegistrar Account - ID\u001b[39m\u001b[33m\"\u001b[39m] = stocks[\u001b[33m\"\u001b[39m\u001b[33mRegistrar Account - ID\u001b[39m\u001b[33m\"\u001b[39m].astype(\u001b[38;5;28mstr\u001b[39m).str.strip()\n\u001b[32m 47\u001b[39m stocks[\u001b[33m\"\u001b[39m\u001b[33mProduct - Isin\u001b[39m\u001b[33m\"\u001b[39m] = stocks[\u001b[33m\"\u001b[39m\u001b[33mProduct - Isin\u001b[39m\u001b[33m\"\u001b[39m].astype(\u001b[38;5;28mstr\u001b[39m)\n", + "\u001b[36mFile \u001b[39m\u001b[32m/opt/python/lib/python3.13/site-packages/pandas/core/frame.py:4113\u001b[39m, in \u001b[36mDataFrame.__getitem__\u001b[39m\u001b[34m(self, key)\u001b[39m\n\u001b[32m 4111\u001b[39m \u001b[38;5;28;01mif\u001b[39;00m \u001b[38;5;28mself\u001b[39m.columns.nlevels > \u001b[32m1\u001b[39m:\n\u001b[32m 4112\u001b[39m \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[38;5;28mself\u001b[39m._getitem_multilevel(key)\n\u001b[32m-> \u001b[39m\u001b[32m4113\u001b[39m indexer = \u001b[38;5;28;43mself\u001b[39;49m\u001b[43m.\u001b[49m\u001b[43mcolumns\u001b[49m\u001b[43m.\u001b[49m\u001b[43mget_loc\u001b[49m\u001b[43m(\u001b[49m\u001b[43mkey\u001b[49m\u001b[43m)\u001b[49m\n\u001b[32m 4114\u001b[39m \u001b[38;5;28;01mif\u001b[39;00m is_integer(indexer):\n\u001b[32m 4115\u001b[39m indexer = [indexer]\n", + "\u001b[36mFile \u001b[39m\u001b[32m/opt/python/lib/python3.13/site-packages/pandas/core/indexes/base.py:3819\u001b[39m, in \u001b[36mIndex.get_loc\u001b[39m\u001b[34m(self, key)\u001b[39m\n\u001b[32m 3814\u001b[39m \u001b[38;5;28;01mif\u001b[39;00m \u001b[38;5;28misinstance\u001b[39m(casted_key, \u001b[38;5;28mslice\u001b[39m) \u001b[38;5;129;01mor\u001b[39;00m (\n\u001b[32m 3815\u001b[39m \u001b[38;5;28misinstance\u001b[39m(casted_key, abc.Iterable)\n\u001b[32m 3816\u001b[39m \u001b[38;5;129;01mand\u001b[39;00m \u001b[38;5;28many\u001b[39m(\u001b[38;5;28misinstance\u001b[39m(x, \u001b[38;5;28mslice\u001b[39m) \u001b[38;5;28;01mfor\u001b[39;00m x \u001b[38;5;129;01min\u001b[39;00m casted_key)\n\u001b[32m 3817\u001b[39m ):\n\u001b[32m 3818\u001b[39m \u001b[38;5;28;01mraise\u001b[39;00m InvalidIndexError(key)\n\u001b[32m-> \u001b[39m\u001b[32m3819\u001b[39m \u001b[38;5;28;01mraise\u001b[39;00m \u001b[38;5;167;01mKeyError\u001b[39;00m(key) \u001b[38;5;28;01mfrom\u001b[39;00m\u001b[38;5;250m \u001b[39m\u001b[34;01merr\u001b[39;00m\n\u001b[32m 3820\u001b[39m \u001b[38;5;28;01mexcept\u001b[39;00m \u001b[38;5;167;01mTypeError\u001b[39;00m:\n\u001b[32m 3821\u001b[39m \u001b[38;5;66;03m# If we have a listlike key, _check_indexing_error will raise\u001b[39;00m\n\u001b[32m 3822\u001b[39m \u001b[38;5;66;03m# InvalidIndexError. Otherwise we fall through and re-raise\u001b[39;00m\n\u001b[32m 3823\u001b[39m \u001b[38;5;66;03m# the TypeError.\u001b[39;00m\n\u001b[32m 3824\u001b[39m \u001b[38;5;28mself\u001b[39m._check_indexing_error(key)\n", + "\u001b[31mKeyError\u001b[39m: 'Centralisation Date'" + ] + } + ], + "source": [ + "# ============================================================\n", + "# DATASETS\n", + "# ============================================================\n", + "\n", + "DATASETS = {\n", + " \"raw\": \"stocks.csv\",\n", + "}\n", + "\n", + "flows_file = \"flows.csv\"\n", + "\n", + "results = {}\n", + "\n", + "# ============================================================\n", + "# LOAD FLOWS\n", + "# ============================================================\n", + "\n", + "flows = pd.read_csv(flows_file, low_memory=False)\n", + "\n", + "flows[\"Centralisation Date\"] = pd.to_datetime(flows[\"Centralisation Date\"])\n", + "flows[\"Registrar Account - ID\"] = flows[\"Registrar Account - ID\"].astype(str).str.strip()\n", + "flows[\"Product - Isin\"] = flows[\"Product - Isin\"].astype(str)\n", + "\n", + "flows[\"Quantity - NetFlows\"] = flows[\"Quantity - NetFlows\"].fillna(0)\n", + "\n", + "# ============================================================\n", + "# LOOP OVER DATASETS\n", + "# ============================================================\n", + "\n", + "for name, stock_file in DATASETS.items():\n", + "\n", + " print(\"\\n====================================\")\n", + " print(\"RUNNING COHERENCE SCORE ON:\", name)\n", + " print(\"====================================\")\n", + "\n", + " # --------------------------------------------------------\n", + " # LOAD STOCKS\n", + " # --------------------------------------------------------\n", + "\n", + " stocks = pd.read_csv(stock_file, low_memory=False)\n", + "\n", + " stocks[\"Centralisation Date\"] = pd.to_datetime(stocks[\"Centralisation Date\"])\n", + " stocks[\"Registrar Account - ID\"] = stocks[\"Registrar Account - ID\"].astype(str).str.strip()\n", + " stocks[\"Product - Isin\"] = stocks[\"Product - Isin\"].astype(str)\n", + "\n", + " # --------------------------------------------------------\n", + " # MERGE FLOWS\n", + " # --------------------------------------------------------\n", + "\n", + " df = stocks.merge(\n", + " flows,\n", + " on=[\"Registrar Account - ID\",\"Product - Isin\",\"Centralisation Date\"],\n", + " how=\"left\"\n", + " )\n", + "\n", + " df[\"Quantity - NetFlows\"] = df[\"Quantity - NetFlows\"].fillna(0)\n", + "\n", + " df = df.sort_values(\n", + " [\"Registrar Account - ID\",\"Product - Isin\",\"Centralisation Date\"]\n", + " )\n", + "\n", + " # --------------------------------------------------------\n", + " # ACCOUNTING RELATION\n", + " # --------------------------------------------------------\n", + "\n", + " df[\"prev_aum\"] = (\n", + " df.groupby([\"Registrar Account - ID\",\"Product - Isin\"])\n", + " [\"Quantity - AUM\"]\n", + " .shift(1)\n", + " )\n", + "\n", + " df[\"flow_lag\"] = (\n", + " df.groupby([\"Registrar Account - ID\",\"Product - Isin\"])\n", + " [\"Quantity - NetFlows\"]\n", + " .shift(1)\n", + " ).fillna(0)\n", + "\n", + " df[\"expected_aum\"] = df[\"prev_aum\"] + df[\"flow_lag\"]\n", + "\n", + " df[\"error\"] = df[\"Quantity - AUM\"] - df[\"expected_aum\"]\n", + "\n", + " # --------------------------------------------------------\n", + " # NORMALIZED ERROR\n", + " # --------------------------------------------------------\n", + "\n", + " df[\"scale\"] = df[\"prev_aum\"].abs().clip(lower=1)\n", + "\n", + " df[\"normalized_error\"] = df[\"error\"].abs() / df[\"scale\"]\n", + "\n", + " # --------------------------------------------------------\n", + " # OBSERVATION SCORE\n", + " # --------------------------------------------------------\n", + "\n", + " df[\"score_obs\"] = np.exp(-5 * df[\"normalized_error\"])\n", + "\n", + " # --------------------------------------------------------\n", + " # ACCOUNT SCORE\n", + " # --------------------------------------------------------\n", + "\n", + " account_score = (\n", + " df.groupby(\"Registrar Account - ID\")[\"score_obs\"]\n", + " .mean()\n", + " )\n", + "\n", + " # --------------------------------------------------------\n", + " # ACCOUNT WEIGHTS (31/10/2025)\n", + " # --------------------------------------------------------\n", + "\n", + " last_date = stocks[\"Centralisation Date\"].max()\n", + "\n", + " aum_last = (\n", + " stocks[stocks[\"Centralisation Date\"] == last_date]\n", + " .groupby(\"Registrar Account - ID\")[\"Quantity - AUM\"]\n", + " .sum()\n", + " )\n", + "\n", + " weights = aum_last / aum_last.sum()\n", + "\n", + " # --------------------------------------------------------\n", + " # ALIGN\n", + " # --------------------------------------------------------\n", + "\n", + " combined = pd.concat([account_score, weights], axis=1)\n", + " combined.columns = [\"score\", \"weight\"]\n", + "\n", + " combined = combined.fillna(0)\n", + "\n", + " # --------------------------------------------------------\n", + " # GLOBAL SCORE\n", + " # --------------------------------------------------------\n", + "\n", + " combined[\"weighted_score\"] = combined[\"score\"] * combined[\"weight\"]\n", + "\n", + " global_score = combined[\"weighted_score\"].sum()\n", + "\n", + " print(\"GLOBAL SCORE:\", global_score)\n", + "\n", + " results[name] = {\n", + " \"score\": global_score,\n", + " \"details\": combined\n", + " }\n", + "\n", + "# ============================================================\n", + "# COMPARISON\n", + "# ============================================================\n", + "\n", + "print(\"\\n====================================\")\n", + "print(\"RAW VS CLEAN COMPARISON\")\n", + "print(\"====================================\")\n", + "\n", + "raw_score = results[\"raw\"][\"score\"]\n" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "id": "ca380a04-155e-4fea-bfae-cfbfa9401245", + "metadata": {}, + "outputs": [], + "source": [ + "flows = pd.read_csv(flows_file, sep=None, engine=\"python\")\n", + "stocks = pd.read_csv(stock_file, sep=None, engine=\"python\")" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "id": "f515fcd8-872b-40c5-8a5b-4eacf5e51097", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Index(['Unnamed: 0', 'Agreement - Code', 'Company - Id',\n", + " 'Company - Ultimate Parent Id', 'Registrar Account - ID',\n", + " 'Registrar Account - Region', 'RegistrarAccount - Country',\n", + " 'Product - Asset Type', 'Product - Strategy', 'Product - Legal Status',\n", + " 'Product - Is Dedie ?', 'Product - Fund', 'Product - Shareclass Type',\n", + " 'Product - Shareclass Currency', 'Product - Isin',\n", + " 'Centralisation Date', 'Quantity - Subscription',\n", + " 'Quantity - Redemption', 'Quantity - NetFlows',\n", + " 'Value Ccy - Subscription', 'Value Ccy - Redemption',\n", + " 'Value Ccy - NetFlows', 'Value € - Subscription',\n", + " 'Value € - Redemption', 'Value € - NetFlows'],\n", + " dtype='object')\n", + "Index(['Unnamed: 0', 'Agreement - Code', 'Company - Id',\n", + " 'Company - Ultimate Parent Id', 'Registrar Account - ID',\n", + " 'Registrar Account - Region', 'RegistrarAccount - Country',\n", + " 'Product - Asset Type', 'Product - Strategy', 'Product - Legal Status',\n", + " 'Product - Is Dedie ?', 'Product - Fund', 'Product - Shareclass Type',\n", + " 'Product - Shareclass Currency', 'Product - Isin',\n", + " 'Centralisation Date', 'Quantity - AUM', 'Value - AUM CCY',\n", + " 'Value - AUM €'],\n", + " dtype='object')\n" + ] + } + ], + "source": [ + "print(flows.columns)\n", + "print(stocks.columns)" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "id": "4ce0bfea-7714-4fd7-ba29-17ce8d976ab6", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "====================================\n", + "RUNNING COHERENCE SCORE ON: raw\n", + "====================================\n", + "GLOBAL SCORE: 0.756699778421513\n", + "\n", + "====================================\n", + "RUNNING COHERENCE SCORE ON: clean\n", + "====================================\n", + "GLOBAL SCORE: 0.756699778421513\n", + "\n", + "====================================\n", + "RAW VS CLEAN COMPARISON\n", + "====================================\n", + "RAW SCORE : 0.756699778421513\n", + "CLEAN SCORE : 0.756699778421513\n", + "IMPROVEMENT : 0.0\n", + "RELATIVE IMPROVEMENT : 0.0\n" + ] + } + ], + "source": [ + "import pandas as pd\n", + "import numpy as np\n", + "\n", + "# ============================================================\n", + "# DATASETS\n", + "# ============================================================\n", + "\n", + "DATASETS = {\n", + " \"raw\": \"stocks.csv\", \n", + " \"clean\": \"stock_repaired.csv\"\n", + "}\n", + "\n", + "flows_file = \"flows.csv\"\n", + "\n", + "results = {}\n", + "\n", + "# ============================================================\n", + "# LOAD FLOWS\n", + "# ============================================================\n", + "\n", + "flows[\"Centralisation Date\"] = pd.to_datetime(flows[\"Centralisation Date\"])\n", + "flows[\"Registrar Account - ID\"] = flows[\"Registrar Account - ID\"].astype(str).str.strip()\n", + "flows[\"Product - Isin\"] = flows[\"Product - Isin\"].astype(str)\n", + "\n", + "flows[\"Quantity - NetFlows\"] = flows[\"Quantity - NetFlows\"].fillna(0)\n", + "\n", + "# ============================================================\n", + "# LOOP OVER DATASETS\n", + "# ============================================================\n", + "\n", + "for name, stock_file in DATASETS.items():\n", + "\n", + " print(\"\\n====================================\")\n", + " print(\"RUNNING COHERENCE SCORE ON:\", name)\n", + " print(\"====================================\")\n", + "\n", + " # --------------------------------------------------------\n", + " # LOAD STOCKS\n", + " # --------------------------------------------------------\n", + "\n", + " stocks[\"Centralisation Date\"] = pd.to_datetime(stocks[\"Centralisation Date\"])\n", + " stocks[\"Registrar Account - ID\"] = stocks[\"Registrar Account - ID\"].astype(str).str.strip()\n", + " stocks[\"Product - Isin\"] = stocks[\"Product - Isin\"].astype(str)\n", + "\n", + " # --------------------------------------------------------\n", + " # MERGE FLOWS\n", + " # --------------------------------------------------------\n", + "\n", + " df = stocks.merge(\n", + " flows,\n", + " on=[\"Registrar Account - ID\",\"Product - Isin\",\"Centralisation Date\"],\n", + " how=\"left\"\n", + " )\n", + "\n", + " df[\"Quantity - NetFlows\"] = df[\"Quantity - NetFlows\"].fillna(0)\n", + "\n", + " df = df.sort_values(\n", + " [\"Registrar Account - ID\",\"Product - Isin\",\"Centralisation Date\"]\n", + " )\n", + "\n", + " # --------------------------------------------------------\n", + " # ACCOUNTING RELATION\n", + " # --------------------------------------------------------\n", + "\n", + " df[\"prev_aum\"] = (\n", + " df.groupby([\"Registrar Account - ID\",\"Product - Isin\"])\n", + " [\"Quantity - AUM\"]\n", + " .shift(1)\n", + " )\n", + "\n", + " df[\"flow_lag\"] = (\n", + " df.groupby([\"Registrar Account - ID\",\"Product - Isin\"])\n", + " [\"Quantity - NetFlows\"]\n", + " .shift(1)\n", + " ).fillna(0)\n", + "\n", + " df[\"expected_aum\"] = df[\"prev_aum\"] + df[\"flow_lag\"]\n", + "\n", + " df[\"error\"] = df[\"Quantity - AUM\"] - df[\"expected_aum\"]\n", + "\n", + " # --------------------------------------------------------\n", + " # NORMALIZED ERROR\n", + " # --------------------------------------------------------\n", + "\n", + " df[\"scale\"] = df[\"prev_aum\"].abs().clip(lower=1)\n", + "\n", + " df[\"normalized_error\"] = df[\"error\"].abs() / df[\"scale\"]\n", + "\n", + " # --------------------------------------------------------\n", + " # OBSERVATION SCORE\n", + " # --------------------------------------------------------\n", + "\n", + " df[\"score_obs\"] = np.exp(-5 * df[\"normalized_error\"])\n", + "\n", + " # --------------------------------------------------------\n", + " # ACCOUNT SCORE\n", + " # --------------------------------------------------------\n", + "\n", + " account_score = (\n", + " df.groupby(\"Registrar Account - ID\")[\"score_obs\"]\n", + " .mean()\n", + " )\n", + "\n", + " # --------------------------------------------------------\n", + " # ACCOUNT WEIGHTS (31/10/2025)\n", + " # --------------------------------------------------------\n", + "\n", + " last_date = stocks[\"Centralisation Date\"].max()\n", + "\n", + " aum_last = (\n", + " stocks[stocks[\"Centralisation Date\"] == last_date]\n", + " .groupby(\"Registrar Account - ID\")[\"Quantity - AUM\"]\n", + " .sum()\n", + " )\n", + "\n", + " weights = aum_last / aum_last.sum()\n", + "\n", + " combined = pd.concat([account_score, weights], axis=1)\n", + " combined.columns = [\"score\", \"weight\"]\n", + " combined = combined.fillna(0)\n", + "\n", + " combined[\"weighted_score\"] = combined[\"score\"] * combined[\"weight\"]\n", + "\n", + " global_score = combined[\"weighted_score\"].sum()\n", + "\n", + " print(\"GLOBAL SCORE:\", global_score)\n", + "\n", + " results[name] = global_score\n", + "\n", + "# ============================================================\n", + "# COMPARISON\n", + "# ============================================================\n", + "\n", + "print(\"\\n====================================\")\n", + "print(\"RAW VS CLEAN COMPARISON\")\n", + "print(\"====================================\")\n", + "\n", + "raw_score = results[\"raw\"]\n", + "clean_score = results[\"clean\"]\n", + "\n", + "improvement = clean_score - raw_score\n", + "relative = improvement / raw_score\n", + "\n", + "print(\"RAW SCORE :\", raw_score)\n", + "print(\"CLEAN SCORE :\", clean_score)\n", + "print(\"IMPROVEMENT :\", improvement)\n", + "print(\"RELATIVE IMPROVEMENT :\", relative)" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "id": "d5d2a309-f843-47ff-b256-66e7d4843c0b", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "TRAJECTORY STABILITY SCORE : 0.7577041546254711\n" + ] + } + ], + "source": [ + "# ============================================================\n", + "# TRAJECTORY STABILITY SCORE\n", + "# ============================================================\n", + "\n", + "# merge stocks + flows\n", + "df = stocks.merge(\n", + " flows,\n", + " on=[\"Registrar Account - ID\",\"Product - Isin\",\"Centralisation Date\"],\n", + " how=\"left\"\n", + ")\n", + "\n", + "df[\"Quantity - NetFlows\"] = df[\"Quantity - NetFlows\"].fillna(0)\n", + "\n", + "df = df.sort_values(\n", + " [\"Registrar Account - ID\",\"Product - Isin\",\"Centralisation Date\"]\n", + ")\n", + "\n", + "# ------------------------------------------------------------\n", + "# COMPUTE DELTA AUM\n", + "# ------------------------------------------------------------\n", + "\n", + "df[\"prev_aum\"] = (\n", + " df.groupby([\"Registrar Account - ID\",\"Product - Isin\"])\n", + " [\"Quantity - AUM\"]\n", + " .shift(1)\n", + ")\n", + "\n", + "df[\"delta_aum\"] = df[\"Quantity - AUM\"] - df[\"prev_aum\"]\n", + "\n", + "# ------------------------------------------------------------\n", + "# TRAJECTORY ERROR\n", + "# ------------------------------------------------------------\n", + "\n", + "df[\"trajectory_error\"] = df[\"delta_aum\"] - df[\"Quantity - NetFlows\"]\n", + "\n", + "# normalize relative to portfolio size\n", + "df[\"scale\"] = df[\"prev_aum\"].abs().clip(lower=1)\n", + "\n", + "df[\"normalized_error\"] = df[\"trajectory_error\"].abs() / df[\"scale\"]\n", + "\n", + "# ------------------------------------------------------------\n", + "# SCORE PER OBSERVATION\n", + "# ------------------------------------------------------------\n", + "\n", + "df[\"score_obs\"] = np.exp(-5 * df[\"normalized_error\"])\n", + "\n", + "# ------------------------------------------------------------\n", + "# SCORE PER DISTRIBUTOR\n", + "# ------------------------------------------------------------\n", + "\n", + "account_score = (\n", + " df.groupby(\"Registrar Account - ID\")[\"score_obs\"]\n", + " .mean()\n", + ")\n", + "\n", + "# ------------------------------------------------------------\n", + "# WEIGHTS (AUM LAST DATE)\n", + "# ------------------------------------------------------------\n", + "\n", + "last_date = stocks[\"Centralisation Date\"].max()\n", + "\n", + "aum_last = (\n", + " stocks[stocks[\"Centralisation Date\"] == last_date]\n", + " .groupby(\"Registrar Account - ID\")[\"Quantity - AUM\"]\n", + " .sum()\n", + ")\n", + "\n", + "weights = aum_last / aum_last.sum()\n", + "\n", + "# ------------------------------------------------------------\n", + "# GLOBAL SCORE\n", + "# ------------------------------------------------------------\n", + "\n", + "combined = pd.concat([account_score, weights], axis=1)\n", + "combined.columns = [\"score\", \"weight\"]\n", + "combined = combined.fillna(0)\n", + "\n", + "combined[\"weighted_score\"] = combined[\"score\"] * combined[\"weight\"]\n", + "\n", + "trajectory_score = combined[\"weighted_score\"].sum()\n", + "\n", + "print(\"TRAJECTORY STABILITY SCORE :\", trajectory_score)" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "id": "af46b28d-957c-44d8-b46c-fc3e8a76fdd0", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "MEAN |ΔAUM − Flow| RAW : 1279.1238370039505\n", + "MEAN |ΔAUM − Flow| CLEAN : 1324.7974438780602\n", + "ABSOLUTE IMPROVEMENT : -45.67360687410974\n", + "RELATIVE IMPROVEMENT : -0.03570694685910124\n" + ] + } + ], + "source": [ + "# ============================================================\n", + "# MEAN ABSOLUTE TRAJECTORY ERROR\n", + "# ============================================================\n", + "\n", + "def compute_mean_error(stocks_df):\n", + "\n", + " df = stocks_df.merge(\n", + " flows,\n", + " on=[\"Registrar Account - ID\",\"Product - Isin\",\"Centralisation Date\"],\n", + " how=\"left\"\n", + " )\n", + "\n", + " df[\"Quantity - NetFlows\"] = df[\"Quantity - NetFlows\"].fillna(0)\n", + "\n", + " df = df.sort_values(\n", + " [\"Registrar Account - ID\",\"Product - Isin\",\"Centralisation Date\"]\n", + " )\n", + "\n", + " # previous AUM\n", + " df[\"prev_aum\"] = (\n", + " df.groupby([\"Registrar Account - ID\",\"Product - Isin\"])\n", + " [\"Quantity - AUM\"]\n", + " .shift(1)\n", + " )\n", + "\n", + " # delta AUM\n", + " df[\"delta_aum\"] = df[\"Quantity - AUM\"] - df[\"prev_aum\"]\n", + "\n", + " # trajectory error\n", + " df[\"trajectory_error\"] = df[\"delta_aum\"] - df[\"Quantity - NetFlows\"]\n", + "\n", + " # absolute error\n", + " df[\"abs_error\"] = df[\"trajectory_error\"].abs()\n", + "\n", + " return df[\"abs_error\"].mean()\n", + "\n", + "\n", + "# ------------------------------------------------------------\n", + "# COMPUTE RAW VS CLEAN\n", + "# ------------------------------------------------------------\n", + "\n", + "raw_error = compute_mean_error(stocks)\n", + "clean_error = compute_mean_error(stocks_repaired)\n", + "\n", + "print(\"MEAN |ΔAUM − Flow| RAW :\", raw_error)\n", + "print(\"MEAN |ΔAUM − Flow| CLEAN :\", clean_error)\n", + "\n", + "improvement = raw_error - clean_error\n", + "relative = improvement / raw_error\n", + "\n", + "print(\"ABSOLUTE IMPROVEMENT :\", improvement)\n", + "print(\"RELATIVE IMPROVEMENT :\", relative)" + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "id": "70938ac0-f9c3-47d2-b4d7-cdefbee72add", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "MEAN RELATIVE |ΔAUM| RAW : 0.382395981437048\n", + "MEAN RELATIVE |ΔAUM| CLEAN : 0.3956454388801965\n", + "VAR RELATIVE ΔAUM RAW : 55.51684717820779\n", + "VAR RELATIVE ΔAUM CLEAN : 55.8099150101412\n", + "\n", + "IMPROVEMENTS\n", + "MEAN IMPROVEMENT : -0.013249457443148482\n", + "VAR IMPROVEMENT : -0.29306783193340635\n" + ] + } + ], + "source": [ + "# ============================================================\n", + "# NORMALIZED AUM STABILITY (ROBUST VERSION)\n", + "# ============================================================\n", + "\n", + "def compute_aum_stability_filtered(stocks_df, min_aum=1000):\n", + "\n", + " df = stocks_df.sort_values(\n", + " [\"Registrar Account - ID\",\"Product - Isin\",\"Centralisation Date\"]\n", + " ).copy()\n", + "\n", + " df[\"prev_aum\"] = (\n", + " df.groupby([\"Registrar Account - ID\",\"Product - Isin\"])\n", + " [\"Quantity - AUM\"]\n", + " .shift(1)\n", + " )\n", + "\n", + " df[\"delta_aum\"] = df[\"Quantity - AUM\"] - df[\"prev_aum\"]\n", + "\n", + " # filter small portfolios\n", + " df = df[df[\"prev_aum\"].abs() > min_aum]\n", + "\n", + " df[\"normalized_delta\"] = df[\"delta_aum\"].abs() / df[\"prev_aum\"].abs()\n", + "\n", + " mean_norm_delta = df[\"normalized_delta\"].mean()\n", + " var_norm_delta = df[\"normalized_delta\"].var()\n", + "\n", + " return mean_norm_delta, var_norm_delta\n", + "\n", + "\n", + "# ------------------------------------------------------------\n", + "# RAW\n", + "# ------------------------------------------------------------\n", + "\n", + "raw_mean, raw_var = compute_aum_stability_filtered(stocks)\n", + "\n", + "# ------------------------------------------------------------\n", + "# CLEAN\n", + "# ------------------------------------------------------------\n", + "\n", + "clean_mean, clean_var = compute_aum_stability_filtered(stocks_repaired)\n", + "\n", + "# ------------------------------------------------------------\n", + "# RESULTS\n", + "# ------------------------------------------------------------\n", + "\n", + "print(\"MEAN RELATIVE |ΔAUM| RAW :\", raw_mean)\n", + "print(\"MEAN RELATIVE |ΔAUM| CLEAN :\", clean_mean)\n", + "\n", + "print(\"VAR RELATIVE ΔAUM RAW :\", raw_var)\n", + "print(\"VAR RELATIVE ΔAUM CLEAN :\", clean_var)\n", + "\n", + "print(\"\\nIMPROVEMENTS\")\n", + "\n", + "print(\"MEAN IMPROVEMENT :\", raw_mean - clean_mean)\n", + "print(\"VAR IMPROVEMENT :\", raw_var - clean_var)" + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "id": "9d89bfeb-db8c-4c3c-af6e-fee7ea524dbd", + "metadata": { + "scrolled": true + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Number of large accounts: 433\n", + "\n", + "RAW DATA\n", + "mean_jump : 224994.9664587711\n", + "median_jump : 0.01670204997155296\n", + "jump>50% : 0.13255873973605017\n", + "jump>100% : 0.06362709256786046\n", + "jump>200% : 0.0557404201046879\n", + "\n", + "CLEAN DATA\n", + "mean_jump : 93408.81311850502\n", + "median_jump : 0.026516611646358403\n", + "jump>50% : 0.15272455736996207\n", + "jump>100% : 0.06512212855430446\n", + "jump>200% : 0.05549332861718643\n", + "\n", + "IMPROVEMENTS\n", + "mean_jump : 131586.1533402661\n", + "median_jump : -0.009814561674805444\n", + "jump>50% : -0.020165817633911898\n", + "jump>100% : -0.0014950359864440016\n", + "jump>200% : 0.0002470914875014746\n" + ] + } + ], + "source": [ + "# ============================================================\n", + "# CLEANING QUALITY TEST\n", + "# ============================================================\n", + "\n", + "# ------------------------------------------------------------\n", + "# STEP 1 — SELECT LARGE ACCOUNTS (>5M€ at last date)\n", + "# ------------------------------------------------------------\n", + "\n", + "last_date = stocks[\"Centralisation Date\"].max()\n", + "\n", + "aum_last = (\n", + " stocks[stocks[\"Centralisation Date\"] == last_date]\n", + " .groupby(\"Registrar Account - ID\")[\"Value - AUM €\"]\n", + " .sum()\n", + ")\n", + "\n", + "large_accounts = aum_last[aum_last >= 5_000_000].index\n", + "\n", + "print(\"Number of large accounts:\", len(large_accounts))\n", + "\n", + "stocks_large = stocks[\n", + " stocks[\"Registrar Account - ID\"].isin(large_accounts)\n", + "]\n", + "\n", + "stocks_repaired_large = stocks_repaired[\n", + " stocks_repaired[\"Registrar Account - ID\"].isin(large_accounts)\n", + "]\n", + "\n", + "\n", + "# ------------------------------------------------------------\n", + "# STEP 2 — COMPUTE RELATIVE AUM JUMPS\n", + "# ------------------------------------------------------------\n", + "\n", + "def compute_aum_jumps(df):\n", + "\n", + " df = df.sort_values(\n", + " [\"Registrar Account - ID\",\"Product - Isin\",\"Centralisation Date\"]\n", + " ).copy()\n", + "\n", + " df[\"prev_aum\"] = (\n", + " df.groupby([\"Registrar Account - ID\",\"Product - Isin\"])\n", + " [\"Value - AUM €\"]\n", + " .shift(1)\n", + " )\n", + "\n", + " df[\"relative_jump\"] = (\n", + " (df[\"Value - AUM €\"] - df[\"prev_aum\"]).abs() /\n", + " df[\"prev_aum\"].abs().clip(lower=1)\n", + " )\n", + "\n", + " return df\n", + "\n", + "\n", + "raw_df = compute_aum_jumps(stocks_large)\n", + "clean_df = compute_aum_jumps(stocks_repaired_large)\n", + "\n", + "\n", + "# ------------------------------------------------------------\n", + "# STEP 3 — METRICS\n", + "# ------------------------------------------------------------\n", + "\n", + "def summarize_jumps(df):\n", + "\n", + " jumps = df[\"relative_jump\"].dropna()\n", + "\n", + " results = {\n", + " \"mean_jump\": jumps.mean(),\n", + " \"median_jump\": jumps.median(),\n", + " \"jump>50%\": (jumps > 0.5).mean(),\n", + " \"jump>100%\": (jumps > 1).mean(),\n", + " \"jump>200%\": (jumps > 2).mean()\n", + " }\n", + "\n", + " return results\n", + "\n", + "\n", + "raw_stats = summarize_jumps(raw_df)\n", + "clean_stats = summarize_jumps(clean_df)\n", + "\n", + "\n", + "# ------------------------------------------------------------\n", + "# STEP 4 — PRINT RESULTS\n", + "# ------------------------------------------------------------\n", + "\n", + "print(\"\\nRAW DATA\")\n", + "for k, v in raw_stats.items():\n", + " print(k, \":\", v)\n", + "\n", + "print(\"\\nCLEAN DATA\")\n", + "for k, v in clean_stats.items():\n", + " print(k, \":\", v)\n", + "\n", + "print(\"\\nIMPROVEMENTS\")\n", + "\n", + "for k in raw_stats:\n", + " print(k, \":\", raw_stats[k] - clean_stats[k])" + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "id": "c6a4042e-85e4-476c-8fdb-daac82caa896", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "OBSERVATIONS CORRECTED : 32537\n", + "SERIES CORRECTED : 297\n", + "TOTAL AUM ADJUSTMENT : 390742193.9398935\n", + "MEAN ADJUSTMENT (corrected points) : 12009.164764418769\n" + ] + } + ], + "source": [ + "# ============================================================\n", + "# CLEANING IMPACT METRICS\n", + "# ============================================================\n", + "\n", + "# merge raw vs cleaned\n", + "df_compare = stocks.merge(\n", + " stocks_repaired,\n", + " on=[\n", + " \"Registrar Account - ID\",\n", + " \"Product - Isin\",\n", + " \"Centralisation Date\"\n", + " ],\n", + " suffixes=(\"_raw\", \"_clean\")\n", + ")\n", + "\n", + "# difference in AUM\n", + "df_compare[\"aum_diff\"] = (\n", + " df_compare[\"Quantity - AUM_clean\"] -\n", + " df_compare[\"Quantity - AUM_raw\"]\n", + ")\n", + "\n", + "# ------------------------------------------------------------\n", + "# number of observations corrected\n", + "# ------------------------------------------------------------\n", + "\n", + "obs_corrected = (df_compare[\"aum_diff\"] != 0).sum()\n", + "\n", + "# ------------------------------------------------------------\n", + "# number of series corrected\n", + "# ------------------------------------------------------------\n", + "\n", + "series_corrected = (\n", + " df_compare[df_compare[\"aum_diff\"] != 0]\n", + " .groupby([\"Registrar Account - ID\",\"Product - Isin\"])\n", + " .ngroups\n", + ")\n", + "\n", + "# ------------------------------------------------------------\n", + "# magnitude of corrections\n", + "# ------------------------------------------------------------\n", + "\n", + "total_adjustment = df_compare[\"aum_diff\"].abs().sum()\n", + "\n", + "mean_adjustment = (\n", + " df_compare.loc[df_compare[\"aum_diff\"] != 0, \"aum_diff\"]\n", + " .abs()\n", + " .mean()\n", + ")\n", + "\n", + "# ------------------------------------------------------------\n", + "# results\n", + "# ------------------------------------------------------------\n", + "\n", + "print(\"OBSERVATIONS CORRECTED :\", obs_corrected)\n", + "print(\"SERIES CORRECTED :\", series_corrected)\n", + "\n", + "print(\"TOTAL AUM ADJUSTMENT :\", total_adjustment)\n", + "print(\"MEAN ADJUSTMENT (corrected points) :\", mean_adjustment)" + ] + }, + { + "cell_type": "code", + "execution_count": 42, + "id": "3bd29760-baa3-4916-a0d1-40ea6c898fb8", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "RAW SCORE : 8.867398273073611e-11\n", + "CLEAN SCORE : 1.9555471695728966e-10\n", + "IMPROVEMENT : 1.0688073422655355e-10\n", + "2.205322361025593\n" + ] + } + ], + "source": [ + "# ============================================================\n", + "# SCORE 2 — TRAJECTORY STABILITY\n", + "# ============================================================\n", + "\n", + "def compute_stability_score(df):\n", + "\n", + " df = df.sort_values(\n", + " [\"Registrar Account - ID\",\"Product - Isin\",\"Centralisation Date\"]\n", + " ).copy()\n", + "\n", + " df[\"prev_aum\"] = (\n", + " df.groupby([\"Registrar Account - ID\",\"Product - Isin\"])\n", + " [\"Quantity - AUM\"]\n", + " .shift(1)\n", + " )\n", + "\n", + " df[\"delta\"] = df[\"Quantity - AUM\"] - df[\"prev_aum\"]\n", + "\n", + " score = 1 / (1 + df[\"delta\"].var())\n", + "\n", + " return score\n", + "\n", + "raw_score2 = compute_stability_score(stocks_large)\n", + "clean_score2 = compute_stability_score(stocks_repaired_large)\n", + "\n", + "print(\"RAW SCORE :\", raw_score2)\n", + "print(\"CLEAN SCORE :\", clean_score2)\n", + "print(\"IMPROVEMENT :\", clean_score2 - raw_score2)\n", + "\n", + "improvement = clean_score2 / raw_score2\n", + "print(improvement)" + ] + }, + { + "cell_type": "code", + "execution_count": 39, + "id": "ba38f855-7b3a-4438-84e8-96b0c37892ef", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Number of large accounts: 433\n", + "stocks_large rows: 810442\n", + "flows_large rows: 1529403\n" + ] + } + ], + "source": [ + "# ============================================================\n", + "# CREATE FLOWS_LARGE (same filter as stocks_large)\n", + "# ============================================================\n", + "\n", + "# last date\n", + "last_date = stocks[\"Centralisation Date\"].max()\n", + "\n", + "# AUM per account at last date (in euros)\n", + "aum_last = (\n", + " stocks[stocks[\"Centralisation Date\"] == last_date]\n", + " .groupby(\"Registrar Account - ID\")[\"Value - AUM €\"]\n", + " .sum()\n", + ")\n", + "\n", + "# accounts > 5M€\n", + "large_accounts = aum_last[aum_last >= 5_000_000].index\n", + "\n", + "print(\"Number of large accounts:\", len(large_accounts))\n", + "\n", + "# filter datasets\n", + "stocks_large = stocks[\n", + " stocks[\"Registrar Account - ID\"].isin(large_accounts)\n", + "]\n", + "\n", + "stocks_repaired_large = stocks_repaired[\n", + " stocks_repaired[\"Registrar Account - ID\"].isin(large_accounts)\n", + "]\n", + "\n", + "flows_large = flows[\n", + " flows[\"Registrar Account - ID\"].isin(large_accounts)\n", + "]\n", + "\n", + "print(\"stocks_large rows:\", len(stocks_large))\n", + "print(\"flows_large rows:\", len(flows_large))" + ] + }, + { + "cell_type": "code", + "execution_count": 40, + "id": "5bb68d76-33c2-4167-a392-53474ee60816", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "RAW SCORE : 0.00017577210434760302\n", + "CLEAN SCORE : 0.0003594192235483644\n", + "IMPROVEMENT : 0.0001836471192007614\n" + ] + } + ], + "source": [ + "# ============================================================\n", + "# FLOW CONSISTENCY SCORE\n", + "# ============================================================\n", + "\n", + "def compute_flow_consistency(df):\n", + "\n", + " df = df.merge(\n", + " flows_large,\n", + " on=[\"Registrar Account - ID\",\"Product - Isin\",\"Centralisation Date\"],\n", + " how=\"left\"\n", + " )\n", + "\n", + " df[\"Quantity - NetFlows\"] = df[\"Quantity - NetFlows\"].fillna(0)\n", + "\n", + " df = df.sort_values(\n", + " [\"Registrar Account - ID\",\"Product - Isin\",\"Centralisation Date\"]\n", + " )\n", + "\n", + " df[\"prev_aum\"] = (\n", + " df.groupby([\"Registrar Account - ID\",\"Product - Isin\"])\n", + " [\"Quantity - AUM\"]\n", + " .shift(1)\n", + " )\n", + "\n", + " df[\"delta\"] = df[\"Quantity - AUM\"] - df[\"prev_aum\"]\n", + "\n", + " df[\"error\"] = (df[\"delta\"] - df[\"Quantity - NetFlows\"]).abs()\n", + "\n", + " score = 1 / (1 + df[\"error\"].mean())\n", + "\n", + " return score\n", + "\n", + "raw_score3 = compute_flow_consistency(stocks_large)\n", + "clean_score3 = compute_flow_consistency(stocks_repaired_large)\n", + "\n", + "print(\"RAW SCORE :\", raw_score3)\n", + "print(\"CLEAN SCORE :\", clean_score3)\n", + "print(\"IMPROVEMENT :\", clean_score3 - raw_score3)" + ] + }, + { + "cell_type": "code", + "execution_count": 43, + "id": "64829ff4-46ee-4497-b6a2-87c835631062", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "RAW SCORE : 0.5623318126772077\n", + "CLEAN SCORE : 0.6635861577517481\n", + "IMPROVEMENT : 0.10125434507454045\n" + ] + } + ], + "source": [ + "# PERSISTENT ACCOUNTING GAP SCORE\n", + "\n", + "def compute_persistent_gap_score(stocks_df, flows_df, persistence=3):\n", + "\n", + " df = stocks_df.merge(\n", + " flows_df,\n", + " on=[\"Registrar Account - ID\",\"Product - Isin\",\"Centralisation Date\"],\n", + " how=\"left\"\n", + " )\n", + "\n", + " df[\"Quantity - NetFlows\"] = df[\"Quantity - NetFlows\"].fillna(0)\n", + "\n", + " df = df.sort_values(\n", + " [\"Registrar Account - ID\",\"Product - Isin\",\"Centralisation Date\"]\n", + " ).copy()\n", + "\n", + " # previous AUM\n", + " df[\"prev_aum\"] = (\n", + " df.groupby([\"Registrar Account - ID\",\"Product - Isin\"])\n", + " [\"Quantity - AUM\"]\n", + " .shift(1)\n", + " )\n", + "\n", + " # accounting gap\n", + " df[\"gap\"] = (\n", + " df[\"Quantity - AUM\"] -\n", + " (df[\"prev_aum\"] + df[\"Quantity - NetFlows\"])\n", + " )\n", + "\n", + " persistent_count = 0\n", + " total_count = 0\n", + "\n", + " for (_, _), g in df.groupby([\"Registrar Account - ID\",\"Product - Isin\"]):\n", + "\n", + " gaps = g[\"gap\"].values\n", + "\n", + " for i in range(len(gaps) - persistence):\n", + "\n", + " window = gaps[i:i+persistence]\n", + "\n", + " if np.all(np.isfinite(window)):\n", + "\n", + " total_count += 1\n", + "\n", + " if np.all(np.abs(window - window[0]) < 1e-6):\n", + "\n", + " persistent_count += 1\n", + "\n", + " if total_count == 0:\n", + " return np.nan\n", + "\n", + " score = 1 - persistent_count / total_count\n", + "\n", + " return score\n", + "\n", + "\n", + "# ============================================================\n", + "# COMPUTE SCORES\n", + "# ============================================================\n", + "\n", + "raw_score = compute_persistent_gap_score(stocks_large, flows_large)\n", + "clean_score = compute_persistent_gap_score(stocks_repaired_large, flows_large)\n", + "\n", + "print(\"RAW SCORE :\", raw_score)\n", + "print(\"CLEAN SCORE :\", clean_score)\n", + "print(\"IMPROVEMENT :\", clean_score - raw_score)" + ] + }, + { + "cell_type": "code", + "execution_count": 44, + "id": "3a1365ae-6376-4d5a-8213-2846cafb6fd6", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "RAW SCORE : 0.09429052631578948\n", + "CLEAN SCORE : 0.14027954256670902\n", + "IMPROVEMENT : 0.04598901625091954\n", + "RELATIVE IMPROVEMENT : 48.77374010714206 %\n" + ] + } + ], + "source": [ + "# ============================================================\n", + "# GAP HALF-LIFE SCORE\n", + "# ============================================================\n", + "\n", + "import numpy as np\n", + "\n", + "def compute_gap_halflife_score(stocks_df, flows_df):\n", + "\n", + " df = stocks_df.merge(\n", + " flows_df,\n", + " on=[\"Registrar Account - ID\",\"Product - Isin\",\"Centralisation Date\"],\n", + " how=\"left\"\n", + " )\n", + "\n", + " df[\"Quantity - NetFlows\"] = df[\"Quantity - NetFlows\"].fillna(0)\n", + "\n", + " df = df.sort_values(\n", + " [\"Registrar Account - ID\",\"Product - Isin\",\"Centralisation Date\"]\n", + " ).copy()\n", + "\n", + " df[\"prev_aum\"] = (\n", + " df.groupby([\"Registrar Account - ID\",\"Product - Isin\"])\n", + " [\"Quantity - AUM\"]\n", + " .shift(1)\n", + " )\n", + "\n", + " df[\"gap\"] = (\n", + " df[\"Quantity - AUM\"] -\n", + " (df[\"prev_aum\"] + df[\"Quantity - NetFlows\"])\n", + " )\n", + "\n", + " persistence_lengths = []\n", + "\n", + " for (_, _), g in df.groupby([\"Registrar Account - ID\",\"Product - Isin\"]):\n", + "\n", + " gaps = g[\"gap\"].values\n", + "\n", + " run_length = 1\n", + "\n", + " for i in range(1, len(gaps)):\n", + "\n", + " if np.isfinite(gaps[i]) and np.isfinite(gaps[i-1]) and abs(gaps[i] - gaps[i-1]) < 1e-6:\n", + " run_length += 1\n", + " else:\n", + " if run_length > 1:\n", + " persistence_lengths.append(run_length)\n", + " run_length = 1\n", + "\n", + " if run_length > 1:\n", + " persistence_lengths.append(run_length)\n", + "\n", + " if len(persistence_lengths) == 0:\n", + " return np.nan\n", + "\n", + " mean_persistence = np.mean(persistence_lengths)\n", + "\n", + " score = 1 / (1 + mean_persistence)\n", + "\n", + " return score\n", + "\n", + "\n", + "# ============================================================\n", + "# COMPUTE SCORES\n", + "# ============================================================\n", + "\n", + "raw_score = compute_gap_halflife_score(stocks_large, flows_large)\n", + "clean_score = compute_gap_halflife_score(stocks_repaired_large, flows_large)\n", + "\n", + "print(\"RAW SCORE :\", raw_score)\n", + "print(\"CLEAN SCORE :\", clean_score)\n", + "print(\"IMPROVEMENT :\", clean_score - raw_score)\n", + "print(\"RELATIVE IMPROVEMENT :\", (clean_score/raw_score - 1) * 100, \"%\")" + ] + }, + { + "cell_type": "code", + "execution_count": 47, + "id": "f431e22e-abd2-4d78-9684-4612dea12df7", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "['Value - AUM €']" + ] + }, + "execution_count": 47, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "[\"Value - AUM €\"]" + ] + }, + { + "cell_type": "code", + "execution_count": 53, + "id": "fb3bc701-2f09-4876-8549-fd16b40f30e0", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# ============================================================\n", + "# BUILD RAW AND CLEAN DATASETS FOR DIAGNOSTIC\n", + "# ============================================================\n", + "\n", + "def build_accounting_df(stocks_df, flows_df):\n", + "\n", + " keys = [\n", + " \"Registrar Account - ID\",\n", + " \"Product - Isin\",\n", + " \"Centralisation Date\"\n", + " ]\n", + "\n", + " df = stocks_df.merge(flows_df, on=keys, how=\"left\")\n", + "\n", + " df[\"Quantity - NetFlows\"] = df[\"Quantity - NetFlows\"].fillna(0)\n", + "\n", + " df = df.sort_values(keys)\n", + "\n", + " df[\"prev_aum\"] = (\n", + " df.groupby([\"Registrar Account - ID\",\"Product - Isin\"])\n", + " [\"Quantity - AUM\"]\n", + " .shift(1)\n", + " )\n", + "\n", + " df[\"flow_lag\"] = (\n", + " df.groupby([\"Registrar Account - ID\",\"Product - Isin\"])\n", + " [\"Quantity - NetFlows\"]\n", + " .shift(1)\n", + " )\n", + "\n", + " df[\"delta_aum\"] = df[\"Quantity - AUM\"] - df[\"prev_aum\"]\n", + "\n", + " return df\n", + "\n", + "\n", + "# RAW DATASET\n", + "df_raw = build_accounting_df(stocks, flows)\n", + "\n", + "# CLEAN DATASET\n", + "df_clean = build_accounting_df(stocks_repaired, flows)\n", + "\n", + "\n", + "# ============================================================\n", + "# SCATTER FUNCTION\n", + "# ============================================================\n", + "\n", + "import matplotlib.pyplot as plt\n", + "import numpy as np\n", + "\n", + "def accounting_scatter(df, title):\n", + "\n", + " diag = df[\n", + " df[\"prev_aum\"].notna() &\n", + " df[\"flow_lag\"].notna()\n", + " ]\n", + "\n", + " sample = diag.sample(20000, random_state=1)\n", + "\n", + " plt.figure(figsize=(6,6))\n", + "\n", + " plt.scatter(\n", + " sample[\"flow_lag\"],\n", + " sample[\"delta_aum\"],\n", + " alpha=0.3,\n", + " s=5\n", + " )\n", + "\n", + " x = np.linspace(\n", + " sample[\"flow_lag\"].min(),\n", + " sample[\"flow_lag\"].max(),\n", + " 100\n", + " )\n", + "\n", + " plt.plot(x, x, color=\"red\", label=\"Perfect identity\")\n", + "\n", + " plt.xlabel(\"Flow (t-1,t)\")\n", + " plt.ylabel(\"Δ AUM\")\n", + "\n", + " plt.title(title)\n", + "\n", + " plt.legend()\n", + "\n", + " plt.show()\n", + "\n", + "\n", + "# ============================================================\n", + "# PLOTS\n", + "# ============================================================\n", + "\n", + "accounting_scatter(df_raw, \"Raw dataset\")\n", + "accounting_scatter(df_clean, \"Clean dataset\")" + ] + }, + { + "cell_type": "code", + "execution_count": 56, + "id": "dc3ba2ce-42ca-490a-98b0-83fd14457dd8", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# ============================================================\n", + "# BUILD RAW AND CLEAN ACCOUNTING DATASETS\n", + "# ============================================================\n", + "\n", + "def build_gap_df(stocks_df, flows_df):\n", + "\n", + " keys = [\n", + " \"Registrar Account - ID\",\n", + " \"Product - Isin\",\n", + " \"Centralisation Date\"\n", + " ]\n", + "\n", + " df = stocks_df.merge(flows_df, on=keys, how=\"left\")\n", + "\n", + " df[\"Quantity - NetFlows\"] = df[\"Quantity - NetFlows\"].fillna(0)\n", + "\n", + " df = df.sort_values(keys)\n", + "\n", + " df[\"prev_aum\"] = (\n", + " df.groupby([\"Registrar Account - ID\",\"Product - Isin\"])\n", + " [\"Quantity - AUM\"]\n", + " .shift(1)\n", + " )\n", + "\n", + " df[\"flow_lag\"] = (\n", + " df.groupby([\"Registrar Account - ID\",\"Product - Isin\"])\n", + " [\"Quantity - NetFlows\"]\n", + " .shift(1)\n", + " .fillna(0)\n", + " )\n", + "\n", + " df[\"expected_aum\"] = df[\"prev_aum\"] + df[\"flow_lag\"]\n", + "\n", + " df[\"gap\"] = df[\"Quantity - AUM\"] - df[\"expected_aum\"]\n", + "\n", + " df[\"rupture\"] = df[\"gap\"].abs() > 10\n", + "\n", + " return df\n", + "\n", + "\n", + "# RAW DATA\n", + "df_raw = build_gap_df(stocks, flows)\n", + "\n", + "# CLEAN DATA\n", + "df_clean = build_gap_df(stocks_repaired, flows)\n", + "\n", + "\n", + "# ============================================================\n", + "# DISTRIBUTION OF RUPTURE RATES\n", + "# ============================================================\n", + "\n", + "def rupture_distribution(df):\n", + "\n", + " series = (\n", + " df.groupby([\"Registrar Account - ID\",\"Product - Isin\"])\n", + " .agg(\n", + " n_ruptures=(\"rupture\",\"sum\"),\n", + " total_obs=(\"rupture\",\"count\")\n", + " )\n", + " .reset_index()\n", + " )\n", + "\n", + " series[\"rupture_rate\"] = series[\"n_ruptures\"] / series[\"total_obs\"]\n", + "\n", + " bins = [0,0.01,0.10,0.30,1]\n", + " labels = [\"≤1%\", \"1–10%\", \"10–30%\", \">30%\"]\n", + "\n", + " series[\"class\"] = pd.cut(\n", + " series[\"rupture_rate\"],\n", + " bins=bins,\n", + " labels=labels,\n", + " include_lowest=True\n", + " )\n", + "\n", + " dist = (\n", + " series[\"class\"]\n", + " .value_counts(normalize=True)\n", + " .sort_index()\n", + " )\n", + "\n", + " return dist\n", + "\n", + "\n", + "dist_before = rupture_distribution(df_raw)\n", + "dist_after = rupture_distribution(df_clean)\n", + "\n", + "\n", + "# ============================================================\n", + "# PLOT\n", + "# ============================================================\n", + "\n", + "import matplotlib.pyplot as plt\n", + "import numpy as np\n", + "\n", + "x = np.arange(len(dist_before))\n", + "\n", + "plt.figure(figsize=(8,4))\n", + "\n", + "plt.bar(x-0.2, dist_before.values, width=0.4, label=\"Before cleaning\")\n", + "plt.bar(x+0.2, dist_after.values, width=0.4, label=\"After cleaning\")\n", + "\n", + "plt.xticks(x, dist_before.index)\n", + "\n", + "plt.ylabel(\"Share of series\")\n", + "\n", + "plt.title(\"Distribution of accounting rupture rates\")\n", + "\n", + "plt.legend()\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 59, + "id": "8a52078b-5d56-447a-aabe-712e2c74cdae", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# ============================================================\n", + "# BUILD GAP DATASETS\n", + "# ============================================================\n", + "\n", + "def build_gap_df(stocks_df, flows_df):\n", + "\n", + " keys = [\n", + " \"Registrar Account - ID\",\n", + " \"Product - Isin\",\n", + " \"Centralisation Date\"\n", + " ]\n", + "\n", + " df = stocks_df.merge(flows_df, on=keys, how=\"left\")\n", + "\n", + " df[\"Quantity - NetFlows\"] = df[\"Quantity - NetFlows\"].fillna(0)\n", + "\n", + " df = df.sort_values(keys)\n", + "\n", + " df[\"prev_aum\"] = (\n", + " df.groupby([\"Registrar Account - ID\",\"Product - Isin\"])\n", + " [\"Quantity - AUM\"]\n", + " .shift(1)\n", + " )\n", + "\n", + " df[\"flow_lag\"] = (\n", + " df.groupby([\"Registrar Account - ID\",\"Product - Isin\"])\n", + " [\"Quantity - NetFlows\"]\n", + " .shift(1)\n", + " .fillna(0)\n", + " )\n", + "\n", + " df[\"expected_aum\"] = df[\"prev_aum\"] + df[\"flow_lag\"]\n", + "\n", + " df[\"gap\"] = df[\"Quantity - AUM\"] - df[\"expected_aum\"]\n", + "\n", + " return df\n", + "\n", + "\n", + "df_raw = build_gap_df(stocks, flows)\n", + "df_clean = build_gap_df(stocks_repaired, flows)\n", + "\n", + "\n", + "# ============================================================\n", + "# COMPUTE GAP PERSISTENCE LENGTH\n", + "# ============================================================\n", + "\n", + "import numpy as np\n", + "\n", + "def compute_gap_sequences(df, tol=1e-6):\n", + "\n", + " lengths = []\n", + "\n", + " for (_, _), g in df.groupby([\"Registrar Account - ID\",\"Product - Isin\"]):\n", + "\n", + " gaps = g[\"gap\"].values\n", + "\n", + " current_len = 1\n", + "\n", + " for i in range(1, len(gaps)):\n", + "\n", + " if np.isfinite(gaps[i]) and np.isfinite(gaps[i-1]) and abs(gaps[i] - gaps[i-1]) < tol:\n", + "\n", + " current_len += 1\n", + "\n", + " else:\n", + "\n", + " lengths.append(current_len)\n", + " current_len = 1\n", + "\n", + " lengths.append(current_len)\n", + "\n", + " return np.array(lengths)\n", + "\n", + "\n", + "raw_lengths = compute_gap_sequences(df_raw)\n", + "clean_lengths = compute_gap_sequences(df_clean)\n", + "\n", + "\n", + "# ============================================================\n", + "# PLOT DISTRIBUTION\n", + "# ============================================================\n", + "\n", + "import matplotlib.pyplot as plt\n", + "\n", + "plt.figure(figsize=(8,5))\n", + "\n", + "bins = np.arange(1,30)\n", + "\n", + "plt.hist(\n", + " raw_lengths,\n", + " bins=bins,\n", + " alpha=0.5,\n", + " label=\"Raw dataset\",\n", + " density=True\n", + ")\n", + "\n", + "plt.hist(\n", + " clean_lengths,\n", + " bins=bins,\n", + " alpha=0.5,\n", + " label=\"Clean dataset\",\n", + " density=True\n", + ")\n", + "\n", + "plt.xlabel(\"Gap persistence length (number of periods)\")\n", + "plt.ylabel(\"Density\")\n", + "\n", + "plt.title(\"Distribution of persistent accounting gaps\")\n", + "\n", + "plt.legend()\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 63, + "id": "b7dfc5a3-e2b0-4fbf-894a-a66226f38165", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "\n", + "max_len = 20\n", + "\n", + "# clip lengths\n", + "raw_clipped = np.minimum(raw_lengths, max_len)\n", + "clean_clipped = np.minimum(clean_lengths, max_len)\n", + "\n", + "# compute histogram\n", + "raw_hist = np.bincount(raw_clipped, minlength=max_len+1)\n", + "clean_hist = np.bincount(clean_clipped, minlength=max_len+1)\n", + "\n", + "# normalize\n", + "raw_hist = raw_hist / raw_hist.sum()\n", + "clean_hist = clean_hist / clean_hist.sum()\n", + "\n", + "x = np.arange(max_len+1)\n", + "\n", + "plt.figure(figsize=(8,4))\n", + "\n", + "plt.plot(x, raw_hist, marker=\"o\", label=\"Raw dataset\")\n", + "plt.plot(x, clean_hist, marker=\"o\", label=\"Clean dataset\")\n", + "\n", + "plt.xlabel(\"Gap persistence length (20 = 20+)\")\n", + "plt.ylabel(\"Share of sequences\")\n", + "\n", + "plt.title(\"Persistence of accounting gaps\")\n", + "\n", + "plt.legend()\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "5a9d6cd8-e92b-4975-969d-cb3d6d9e4bce", + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.13.11" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/brouillon/rupture_isin_summary.csv b/brouillon/rupture_isin_summary.csv new file mode 100644 index 0000000..1e11aec --- /dev/null +++ b/brouillon/rupture_isin_summary.csv @@ -0,0 +1,68941 @@ +Registrar Account - ID,Product - Isin,n_ruptures,total_obs,rupture_ratio,max_gap_abs,max_gap_rel +100000014,LU0553415323,0,80,0.0,0.0, 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+85000,11,960,0.011458333333333333,50.0,5.0 +85419,0,80,0.0,0.0, +86131,14,785,0.017834394904458598,8194.217999999999,1.0170298733321557 +88511,0,160,0.0,0.0, +88928,0,160,0.0,0.0, +OFF DISTRIBUTION,10748,43728,0.24579216977680204,42543003.5937,154331343.99999997 +PRIVATE CLIENT,3450,9802,0.35196898592124054,733547.403,1927745.2243589745 diff --git a/clustering_global.ipynb b/clustering_global.ipynb new file mode 100644 index 0000000..b3ee7e5 --- /dev/null +++ b/clustering_global.ipynb @@ -0,0 +1,2064 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "f6ea29f1", + "metadata": {}, + "source": [ + "# Global Clustering \n", + "\n", + "**Sections:**\n", + "1. Imports & Data Loading\n", + "2. Monthly Panel Construction\n", + "3. Feature Engineering (base + enriched)\n", + "4. Global Clustering (all active accounts)" + ] + }, + { + "cell_type": "markdown", + "id": "e727f666", + "metadata": {}, + "source": [ + "## 0. Imports & Data Loading" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "id": "9314f229-0b5d-4a4c-846c-869847d32c73", + "metadata": {}, + "outputs": [], + "source": [ + "import os\n", + "import s3fs\n", + "os.environ[\"AWS_ACCESS_KEY_ID\"] = 'UMMV3Z72A70MCCSRV17O'\n", + "os.environ[\"AWS_SECRET_ACCESS_KEY\"] = 'wBFxaez78UPNW3BtchZOf4f238ZNXKnCexeGufaa'\n", + "os.environ[\"AWS_SESSION_TOKEN\"] = 'eyJhbGciOiJIUzUxMiIsInR5cCI6IkpXVCJ9.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.rffoTJijRiGK2DCDhXj5y8R31DRH1LWkTwuH_1lvU9qN_xJSTmBIM4uGR_zp7XpMnq_ePwVhlkoWN15cNUgjMA'\n", + "os.environ[\"AWS_DEFAULT_REGION\"] = 'us-east-1'\n", + "fs = s3fs.S3FileSystem(\n", + " client_kwargs={'endpoint_url': 'https://'+'minio-simple.lab.groupe-genes.fr'},\n", + " key = os.environ[\"AWS_ACCESS_KEY_ID\"], \n", + " secret = os.environ[\"AWS_SECRET_ACCESS_KEY\"], \n", + " token = os.environ[\"AWS_SESSION_TOKEN\"])" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "61e33897", + "metadata": {}, + "outputs": [], + "source": [ + "import warnings\n", + "warnings.filterwarnings(\"ignore\")\n", + "\n", + "import numpy as np\n", + "import pandas as pd\n", + "import matplotlib.pyplot as plt\n", + "import seaborn as sns\n", + "\n", + "from sklearn.preprocessing import RobustScaler\n", + "from sklearn.cluster import KMeans\n", + "from sklearn.metrics import silhouette_score, davies_bouldin_score, pairwise_distances\n", + "from sklearn.linear_model import LinearRegression\n", + "\n", + "sns.set_style(\"whitegrid\")\n", + "pd.set_option(\"display.max_columns\", 100)\n", + "\n", + "EPS = 1e-9\n", + "RANDOM_STATE = 42\n", + "\n", + "# Column names\n", + "ID_COL = \"Registrar Account - ID\"\n", + "ISIN_COL = \"Product - Isin\"\n", + "FUND_COL = \"Product - Fund\"\n", + "ASSET_COL = \"Product - Asset Type\"\n", + "FLOW_DATE_COL = \"Centralisation Date\"\n", + "AUM_DATE_COL = \"Centralisation Date\"\n", + "FLOW_QTY_COL = \"Quantity - NetFlows\"\n", + "FLOW_SUB_COL = \"Quantity - Subscription\"\n", + "FLOW_RED_COL = \"Quantity - Redemption\"\n", + "AUM_QTY_COL = \"Quantity - AUM\"\n", + "AUM_VAL_COL = \"Value - AUM €\"\n", + "REGION_COL = \"Registrar Account - Region\"\n", + "COUNTRY_COL = \"RegistrarAccount - Country\"\n", + "NAV_DATE_COL = \"Dat\"\n", + "NAV_ISIN_COL = \"Isin\"\n", + "NAV_PRICE_COL = \"Price (TF PartPrice)\"\n", + "NAV_BENCH_COL = \"PriceBench\"\n", + "RATE_DATE_COL = \"Date\"\n", + "RATE_VAL_COL = \"Yld to Maturity\"\n", + "\n", + "#external data projet-bdc-data /carmignac /Data Modélisation /Nav\n", + "PATH_NAV = \"s3://projet-bdc-data/carmignac/Data Modélisation/Nav/NAV_Bench_data.csv\" #C’est la table de valorisation / performance du produit.\n", + "PATH_RATES = \"s3://projet-bdc-data/carmignac/Data Modélisation/market data/esterRates.csv\"\n", + "\n", + "# optional competitors\n", + "PATH_COMP_FLOWS = \"s3://projet-bdc-data/carmignac/Data Modélisation/competitors/daily_estimated_flows.csv\"\n", + "PATH_COMP_PERF = \"s3://projet-bdc-data/carmignac/Data Modélisation/competitors/weekly_perf_full.csv\"\n", + "PATH_PEERS = \"s3://projet-bdc-carmignac-g3/peers/CAD_peers.csv\"" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "eb3b2908", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "flows: (2574461, 26)\n", + "aum: (4880297, 19)\n", + "nav: (623914, 6)\n" + ] + } + ], + "source": [ + "df_flows = pd.read_csv(\"flows.csv\", low_memory=False)\n", + "df_aum = df_aum = pd.read_csv(\"s3://projet-bdc-carmignac-g3/paco/AUM_repaired.csv\", low_memory=False)\n", + "df_nav = pd.read_csv(PATH_NAV, sep=\";\")\n", + "df_rates = pd.read_csv(PATH_RATES, sep=\";\")\n", + "\n", + "# Date parsing\n", + "for df, col in [\n", + " (df_flows, FLOW_DATE_COL), (df_aum, AUM_DATE_COL),\n", + " (df_nav, NAV_DATE_COL), (df_rates, RATE_DATE_COL)\n", + "]:\n", + " df[col] = pd.to_datetime(df[col], errors=\"coerce\")\n", + "\n", + "# Month column\n", + "for df, col in [(df_flows, FLOW_DATE_COL), (df_aum, AUM_DATE_COL),\n", + " (df_nav, NAV_DATE_COL), (df_rates, RATE_DATE_COL)]:\n", + " df[\"month\"] = df[col].dt.to_period(\"M\").dt.to_timestamp()\n", + "\n", + "# Numeric coercion\n", + "for col in [FLOW_QTY_COL, FLOW_SUB_COL, FLOW_RED_COL]:\n", + " df_flows[col] = pd.to_numeric(df_flows[col], errors=\"coerce\")\n", + "for col in [AUM_QTY_COL, AUM_VAL_COL]:\n", + " df_aum[col] = pd.to_numeric(df_aum[col], errors=\"coerce\")\n", + "for col in [NAV_PRICE_COL, NAV_BENCH_COL]:\n", + " df_nav[col] = pd.to_numeric(df_nav[col], errors=\"coerce\")\n", + "df_rates[RATE_VAL_COL] = pd.to_numeric(df_rates[RATE_VAL_COL], errors=\"coerce\")\n", + "\n", + "# ISIN as string\n", + "for df in [df_flows, df_aum]:\n", + " df[ISIN_COL] = df[ISIN_COL].astype(str).str.strip()\n", + "df_nav[NAV_ISIN_COL] = df_nav[NAV_ISIN_COL].astype(str).str.strip()\n", + "\n", + "print(\"flows:\", df_flows.shape)\n", + "print(\"aum: \", df_aum.shape)\n", + "print(\"nav: \", df_nav.shape)" + ] + }, + { + "cell_type": "markdown", + "id": "5929db69", + "metadata": {}, + "source": [ + "## 1. Monthly Panel Construction\n", + "\n", + "Build a full outer join of AUM and flows at (account, ISIN, month) granularity,\n", + "then enrich with NAV performance and macro rates." + ] + }, + { + "cell_type": "code", + "execution_count": 73, + "id": "d36d0a70", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Panel shape: (4791501, 20)\n" + ] + } + ], + "source": [ + "# --- Flows aggregated to monthly ---\n", + "df_flows_m = (\n", + " df_flows\n", + " .dropna(subset=[ID_COL, ISIN_COL, \"month\"])\n", + " .assign(\n", + " gross_flow_qty = lambda x: x[FLOW_QTY_COL].abs(),\n", + " sub_qty = lambda x: x[FLOW_SUB_COL].fillna(0),\n", + " red_qty = lambda x: x[FLOW_RED_COL].fillna(0)\n", + " )\n", + " .groupby([ID_COL, ISIN_COL, \"month\"], as_index=False)\n", + " .agg(\n", + " net_flow_qty = (FLOW_QTY_COL, \"sum\"),\n", + " gross_flow_qty = (\"gross_flow_qty\", \"sum\"),\n", + " sub_qty = (\"sub_qty\", \"sum\"),\n", + " red_qty = (\"red_qty\", \"sum\"),\n", + " n_tx = (FLOW_QTY_COL, \"size\"),\n", + " region = (REGION_COL, \"last\"),\n", + " country = (COUNTRY_COL, \"last\")\n", + " )\n", + ")\n", + "\n", + "# --- AUM aggregated to monthly ---\n", + "df_aum_m = (\n", + " df_aum\n", + " .dropna(subset=[ID_COL, ISIN_COL, \"month\"])\n", + " .groupby([ID_COL, ISIN_COL, \"month\"], as_index=False)\n", + " .agg(\n", + " aum_qty = (AUM_QTY_COL, \"sum\"),\n", + " aum_val = (AUM_VAL_COL, \"sum\"),\n", + " fund = (FUND_COL, \"last\"),\n", + " asset_type = (ASSET_COL, \"last\"),\n", + " region = (REGION_COL, \"last\"),\n", + " country = (COUNTRY_COL, \"last\")\n", + " )\n", + ")\n", + "\n", + "# --- Full outer join ---\n", + "keys = pd.concat([\n", + " df_flows_m[[ID_COL, ISIN_COL, \"month\"]],\n", + " df_aum_m[[ID_COL, ISIN_COL, \"month\"]]\n", + "]).drop_duplicates()\n", + "\n", + "df_rel_m = (\n", + " keys\n", + " .merge(df_aum_m, on=[ID_COL, ISIN_COL, \"month\"], how=\"left\")\n", + " .merge(df_flows_m, on=[ID_COL, ISIN_COL, \"month\"], how=\"left\", suffixes=(\"\", \"_flow\"))\n", + ")\n", + "\n", + "for c in [\"aum_qty\",\"aum_val\",\"net_flow_qty\",\"gross_flow_qty\",\"sub_qty\",\"red_qty\",\"n_tx\"]:\n", + " df_rel_m[c] = df_rel_m[c].fillna(0)\n", + "\n", + "df_rel_m[\"region\"] = df_rel_m[\"region\"].fillna(df_rel_m.get(\"region_flow\"))\n", + "df_rel_m[\"country\"] = df_rel_m[\"country\"].fillna(df_rel_m.get(\"country_flow\"))\n", + "\n", + "# --- Active / holding flags ---\n", + "df_rel_m[\"active_rel_month\"] = (df_rel_m[\"gross_flow_qty\"] > 0).astype(int)\n", + "df_rel_m[\"holding_rel_month\"] = (df_rel_m[\"aum_qty\"] > 0).astype(int)\n", + "df_rel_m[\"flow_to_aum_rel\"] = df_rel_m[\"net_flow_qty\"] / (df_rel_m[\"aum_qty\"].abs() + EPS)\n", + "df_rel_m[\"turnover_rel\"] = df_rel_m[\"gross_flow_qty\"] / (df_rel_m[\"aum_qty\"].abs() + EPS)\n", + "\n", + "print(\"Panel shape:\", df_rel_m.shape)" + ] + }, + { + "cell_type": "code", + "execution_count": 74, + "id": "965d2564", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Enriched panel shape: (4791501, 24)\n" + ] + } + ], + "source": [ + "# --- NAV & benchmark returns ---\n", + "df_nav_m = (\n", + " df_nav\n", + " .dropna(subset=[NAV_ISIN_COL, \"month\", NAV_PRICE_COL])\n", + " .sort_values([NAV_ISIN_COL, \"month\"])\n", + " .groupby([NAV_ISIN_COL, \"month\"], as_index=False)\n", + " .tail(1).copy()\n", + ")\n", + "df_nav_m[\"ret_fund_m\"] = df_nav_m.groupby(NAV_ISIN_COL)[NAV_PRICE_COL].pct_change()\n", + "df_nav_m[\"ret_bench_m\"] = df_nav_m.groupby(NAV_ISIN_COL)[NAV_BENCH_COL].pct_change()\n", + "df_nav_m[\"active_return_m\"] = df_nav_m[\"ret_fund_m\"] - df_nav_m[\"ret_bench_m\"]\n", + "df_nav_m = df_nav_m.rename(columns={NAV_ISIN_COL: ISIN_COL})[\n", + " [ISIN_COL, \"month\", \"ret_fund_m\", \"ret_bench_m\", \"active_return_m\"]\n", + "]\n", + "\n", + "# --- Interest rates ---\n", + "df_rates_m = (\n", + " df_rates\n", + " .dropna(subset=[\"month\", RATE_VAL_COL])\n", + " .sort_values(RATE_DATE_COL)\n", + " .groupby(\"month\", as_index=False).tail(1).copy()\n", + ")\n", + "df_rates_m[\"delta_rate_m\"] = df_rates_m[RATE_VAL_COL].diff()\n", + "df_rates_m = df_rates_m[[\"month\", RATE_VAL_COL, \"delta_rate_m\"]]\n", + "\n", + "# --- Merge into panel ---\n", + "df_rel_m = df_rel_m.merge(df_nav_m, on=[ISIN_COL, \"month\"], how=\"left\")\n", + "df_rel_m = df_rel_m.merge(df_rates_m[[\"month\",\"delta_rate_m\"]], on=\"month\", how=\"left\")\n", + "\n", + "for c in [\"ret_fund_m\",\"ret_bench_m\",\"active_return_m\",\"delta_rate_m\"]:\n", + " df_rel_m[c] = df_rel_m[c].fillna(0)\n", + "\n", + "print(\"Enriched panel shape:\", df_rel_m.shape)" + ] + }, + { + "cell_type": "markdown", + "id": "1ef7bba8", + "metadata": {}, + "source": [ + "## 2. Feature Engineering\n", + "\n", + "### 2a. Monthly account-level aggregation\n", + "### 2b. ISIN-level features (where / when investors put their money)\n", + "### 2c. Asset type & fund composition features\n", + "### 2d. Rolling metrics (1M / 3M / 6M)\n", + "### 2e. Behavioural features (entry/exit, momentum, rate sensitivity)\n", + "### 2f. Trend & beta features" + ] + }, + { + "cell_type": "code", + "execution_count": 168, + "id": "db5a297c-78ea-4048-98f8-624612fbb60d", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "df_month shape: (931333, 21)\n", + "ISIN-level client features: (12584, 12)\n", + "Asset shares: (7475, 6)\n", + "Fund shares: (6562, 11)\n", + "Rolling features: (12584, 3)\n", + "df_client shape: (12584, 46)\n", + "After outlier removal: 7179 accounts\n", + "dfc shape: (7179, 60)\n", + "gross_flow_to_aum: min=0.0000, max=270698.4708, nan=336, inf=0\n", + "flow_direction_balance: min=-1.0000, max=1.0000, nan=1069, inf=0\n", + "sub_share_mean: min=-0.0985, max=77.5673, nan=1069, inf=0\n", + "redemption_bias: min=-154.1345, max=0.0828, nan=1069, inf=0\n", + "entry_rate_per_isin: min=0.0217, max=5.0000, nan=0, inf=0\n", + "aum_final_to_peak: min=-2.4841, max=1.0000, nan=0, inf=0\n", + "flow_roll3m_norm: min=-4935000000000.0000, max=1400000000000.0000, nan=0, inf=0\n", + "flow_roll6m_norm: min=-8699999999999.9990, max=322428000000.0000, nan=0, inf=0\n" + ] + } + ], + "source": [ + "# ============================================================\n", + "# 2a. Monthly account-level panel\n", + "# ============================================================\n", + "tmp = df_rel_m.copy()\n", + "tmp[\"isin_held_flag\"] = (tmp[\"aum_qty\"] > 0).astype(int)\n", + "tmp[\"isin_active_flag\"] = (tmp[\"gross_flow_qty\"] > 0).astype(int)\n", + "\n", + "df_month = (\n", + " tmp.groupby([ID_COL, \"month\"], as_index=False)\n", + " .agg(\n", + " aum_qty = (\"aum_qty\", \"sum\"),\n", + " aum_val = (\"aum_val\", \"sum\"),\n", + " net_flow_qty = (\"net_flow_qty\", \"sum\"),\n", + " gross_flow_qty = (\"gross_flow_qty\", \"sum\"),\n", + " sub_qty = (\"sub_qty\", \"sum\"),\n", + " red_qty = (\"red_qty\", \"sum\"),\n", + " n_tx = (\"n_tx\", \"sum\"),\n", + " n_isin_held = (\"isin_held_flag\", \"sum\"),\n", + " n_isin_active = (\"isin_active_flag\",\"sum\"),\n", + " delta_rate_m = (\"delta_rate_m\", \"first\"),\n", + " region = (\"region\", \"first\"),\n", + " country = (\"country\", \"first\"),\n", + " )\n", + " .sort_values([ID_COL, \"month\"])\n", + " .reset_index(drop=True)\n", + ")\n", + "\n", + "df_month[\"active_month\"] = (df_month[\"gross_flow_qty\"] > 0).astype(int)\n", + "\n", + "df_month[\"flow_to_aum_m\"] = np.where(\n", + " df_month[\"aum_qty\"].abs() > 0,\n", + " df_month[\"net_flow_qty\"] / df_month[\"aum_qty\"].abs(),\n", + " np.nan\n", + ")\n", + "df_month[\"turnover_m\"] = np.where(\n", + " df_month[\"aum_qty\"].abs() > 0,\n", + " df_month[\"gross_flow_qty\"] / df_month[\"aum_qty\"].abs(),\n", + " np.nan\n", + ")\n", + "df_month[\"sub_share_m\"] = np.where(\n", + " df_month[\"gross_flow_qty\"] > 0,\n", + " df_month[\"sub_qty\"] / df_month[\"gross_flow_qty\"],\n", + " np.nan\n", + ")\n", + "df_month[\"red_share_m\"] = np.where(\n", + " df_month[\"gross_flow_qty\"] > 0,\n", + " df_month[\"red_qty\"] / df_month[\"gross_flow_qty\"],\n", + " np.nan\n", + ")\n", + "df_month[\"aum_peak_to_date\"] = df_month.groupby(ID_COL)[\"aum_qty\"].cummax()\n", + "df_month[\"aum_drawdown\"] = np.where(\n", + " df_month[\"aum_peak_to_date\"] > 0,\n", + " 1 - df_month[\"aum_qty\"] / df_month[\"aum_peak_to_date\"],\n", + " np.nan\n", + ")\n", + "\n", + "print(\"df_month shape:\", df_month.shape)\n", + "\n", + "# ============================================================\n", + "# 2b. ISIN-level features\n", + "# ============================================================\n", + "tmp = df_rel_m.sort_values([ID_COL, ISIN_COL, \"month\"]).copy()\n", + "tmp[\"prev_aum\"] = tmp.groupby([ID_COL, ISIN_COL])[\"aum_qty\"].shift(1)\n", + "tmp[\"entry_event\"] = ((tmp[\"prev_aum\"].fillna(0) <= 0) & (tmp[\"aum_qty\"] > 0)).astype(int)\n", + "tmp[\"full_exit_event\"] = ((tmp[\"prev_aum\"] > 0) & (tmp[\"aum_qty\"] <= 0)).astype(int)\n", + "\n", + "# Lag de 1 mois pour la réaction à la performance (causalité correcte)\n", + "tmp[\"ret_fund_m_lag1\"] = tmp.groupby([ID_COL, ISIN_COL])[\"ret_fund_m\"].shift(1)\n", + "tmp[\"buy_on_perf\"] = ((tmp[\"net_flow_qty\"] > 0) & (tmp[\"ret_fund_m_lag1\"] > 0)).astype(int)\n", + "tmp[\"sell_on_perf\"] = ((tmp[\"net_flow_qty\"] < 0) & (tmp[\"ret_fund_m_lag1\"] < 0)).astype(int)\n", + "\n", + "df_rel_feat = (\n", + " tmp.groupby([ID_COL, ISIN_COL], as_index=False)\n", + " .agg(\n", + " rel_n_months = (\"month\", \"nunique\"),\n", + " rel_active_months = (\"active_rel_month\", \"sum\"),\n", + " rel_holding_months = (\"holding_rel_month\", \"sum\"),\n", + " rel_aum_mean = (\"aum_qty\", \"mean\"),\n", + " rel_turnover_mean = (\"turnover_rel\", \"mean\"),\n", + " rel_turnover_vol = (\"turnover_rel\", \"std\"),\n", + " rel_flow_to_aum_vol = (\"flow_to_aum_rel\", \"std\"),\n", + " rel_n_tx = (\"n_tx\", \"sum\"),\n", + " rel_full_exit_count = (\"full_exit_event\", \"sum\"),\n", + " rel_entry_count = (\"entry_event\", \"sum\"),\n", + " buy_on_perf_rate = (\"buy_on_perf\", \"mean\"),\n", + " sell_on_perf_rate = (\"sell_on_perf\", \"mean\"),\n", + " )\n", + ")\n", + "\n", + "isin_aum = df_rel_feat.groupby(ID_COL)[\"rel_aum_mean\"].transform(\"sum\")\n", + "df_rel_feat[\"isin_weight\"] = np.where(\n", + " isin_aum > 0,\n", + " df_rel_feat[\"rel_aum_mean\"] / isin_aum,\n", + " np.nan\n", + ")\n", + "hhi_isin = (\n", + " df_rel_feat.groupby(ID_COL)[\"isin_weight\"]\n", + " .apply(lambda w: np.sum(w**2))\n", + " .reset_index(name=\"hhi_isin\")\n", + ")\n", + "\n", + "df_rel_client = (\n", + " df_rel_feat.groupby(ID_COL, as_index=False)\n", + " .agg(\n", + " n_isin_total = (ISIN_COL, \"nunique\"),\n", + " rel_turnover_mean_avg = (\"rel_turnover_mean\", \"mean\"),\n", + " rel_turnover_vol_avg = (\"rel_turnover_vol\", \"mean\"),\n", + " rel_flow_to_aum_vol_avg = (\"rel_flow_to_aum_vol\",\"mean\"),\n", + " full_exit_count = (\"rel_full_exit_count\",\"sum\"),\n", + " entry_count = (\"rel_entry_count\", \"sum\"),\n", + " avg_holding_months_per_isin = (\"rel_holding_months\", \"mean\"),\n", + " max_holding_months_per_isin = (\"rel_holding_months\", \"max\"),\n", + " buy_on_perf_rate_avg = (\"buy_on_perf_rate\", \"mean\"),\n", + " sell_on_perf_rate_avg = (\"sell_on_perf_rate\", \"mean\"),\n", + " )\n", + " .merge(hhi_isin, on=ID_COL, how=\"left\")\n", + ")\n", + "\n", + "print(\"ISIN-level client features:\", df_rel_client.shape)\n", + "\n", + "# ============================================================\n", + "# 2c. Asset type & fund composition features\n", + "# ============================================================\n", + "aum_by_asset = (\n", + " df_aum.dropna(subset=[ID_COL, ASSET_COL])\n", + " .groupby([ID_COL, ASSET_COL], as_index=False)[AUM_VAL_COL].sum()\n", + ")\n", + "total_aum_acc = aum_by_asset.groupby(ID_COL)[AUM_VAL_COL].sum().rename(\"total_aum\")\n", + "aum_by_asset = aum_by_asset.merge(total_aum_acc, on=ID_COL)\n", + "aum_by_asset[\"share\"] = np.where(\n", + " aum_by_asset[\"total_aum\"] > 0,\n", + " aum_by_asset[AUM_VAL_COL] / aum_by_asset[\"total_aum\"],\n", + " np.nan\n", + ")\n", + "asset_shares = (\n", + " aum_by_asset.pivot_table(index=ID_COL, columns=ASSET_COL, values=\"share\", aggfunc=\"mean\")\n", + " .fillna(0).reset_index()\n", + ")\n", + "asset_shares.columns = [ID_COL] + [\n", + " f\"share_asset_{c.lower().replace(' ','_')}\" for c in asset_shares.columns[1:]\n", + "]\n", + "\n", + "aum_by_fund = (\n", + " df_aum.dropna(subset=[ID_COL, FUND_COL])\n", + " .groupby([ID_COL, FUND_COL], as_index=False)[AUM_VAL_COL].sum()\n", + ")\n", + "aum_by_fund = aum_by_fund.merge(total_aum_acc, on=ID_COL)\n", + "aum_by_fund[\"share\"] = np.where(\n", + " aum_by_fund[\"total_aum\"] > 0,\n", + " aum_by_fund[AUM_VAL_COL] / aum_by_fund[\"total_aum\"],\n", + " np.nan\n", + ")\n", + "top_funds = aum_by_fund.groupby(FUND_COL)[AUM_VAL_COL].sum().nlargest(10).index\n", + "fund_shares = (\n", + " aum_by_fund[aum_by_fund[FUND_COL].isin(top_funds)]\n", + " .pivot_table(index=ID_COL, columns=FUND_COL, values=\"share\", aggfunc=\"mean\")\n", + " .fillna(0).reset_index()\n", + ")\n", + "fund_shares.columns = [ID_COL] + [\n", + " f\"share_fund_{c.lower().replace(' ','_')[:30]}\" for c in fund_shares.columns[1:]\n", + "]\n", + "\n", + "print(\"Asset shares:\", asset_shares.shape)\n", + "print(\"Fund shares: \", fund_shares.shape)\n", + "\n", + "# ============================================================\n", + "# 2d. Rolling metrics — supprimées car trop sparse (80-90% zéros)\n", + "# On garde uniquement flow_roll3m et flow_roll6m comme signaux\n", + "# de tendance récente, normalisés par l'AUM\n", + "# ============================================================\n", + "df_month_s = df_month.sort_values([ID_COL, \"month\"]).copy()\n", + "\n", + "for w in [3, 6]:\n", + " df_month_s[f\"flow_roll{w}m_norm\"] = (\n", + " df_month_s.groupby(ID_COL)\n", + " .apply(lambda g: (\n", + " g[\"net_flow_qty\"].rolling(w, min_periods=1).sum() /\n", + " (g[\"aum_qty\"].abs().rolling(w, min_periods=1).mean() + EPS)\n", + " ))\n", + " .reset_index(level=0, drop=True)\n", + " )\n", + "\n", + "rolling_feats = (\n", + " df_month_s.groupby(ID_COL, as_index=False)\n", + " .last()[[ID_COL, \"flow_roll3m_norm\", \"flow_roll6m_norm\"]]\n", + ")\n", + "\n", + "print(\"Rolling features:\", rolling_feats.shape)\n", + "\n", + "# ============================================================\n", + "# 2e. Static client features\n", + "# ============================================================\n", + "df_client = (\n", + " df_month.groupby(ID_COL, as_index=False)\n", + " .agg(\n", + " n_months = (\"month\", \"nunique\"),\n", + " n_active_months = (\"active_month\", \"sum\"),\n", + " flow_freq = (\"active_month\", \"mean\"),\n", + " aum_qty_mean = (\"aum_qty\", \"mean\"),\n", + " aum_qty_median = (\"aum_qty\", \"median\"),\n", + " aum_qty_max = (\"aum_qty\", \"max\"),\n", + " aum_qty_last = (\"aum_qty\", \"last\"),\n", + " net_flow_qty_sum = (\"net_flow_qty\", \"sum\"),\n", + " gross_flow_qty_sum = (\"gross_flow_qty\", \"sum\"),\n", + " sub_qty_sum = (\"sub_qty\", \"sum\"),\n", + " red_qty_sum = (\"red_qty\", \"sum\"),\n", + " n_tx_total = (\"n_tx\", \"sum\"),\n", + " avg_n_isin_held = (\"n_isin_held\", \"mean\"),\n", + " max_n_isin_held = (\"n_isin_held\", \"max\"),\n", + " aum_drawdown_last = (\"aum_drawdown\", \"last\"),\n", + " region = (\"region\", \"last\"),\n", + " country = (\"country\", \"last\"),\n", + " )\n", + ")\n", + "\n", + "df_client = (\n", + " df_client\n", + " .merge(df_rel_client, on=ID_COL, how=\"left\")\n", + " .merge(asset_shares, on=ID_COL, how=\"left\")\n", + " .merge(fund_shares, on=ID_COL, how=\"left\")\n", + " .merge(rolling_feats, on=ID_COL, how=\"left\")\n", + ")\n", + "\n", + "print(\"df_client shape:\", df_client.shape)\n", + "\n", + "# ============================================================\n", + "# 2f. Engineered ratios + filtres\n", + "# ============================================================\n", + "dfc = df_client.copy()\n", + "\n", + "dfc[\"log_aum_qty_mean\"] = np.log1p(dfc[\"aum_qty_mean\"].clip(lower=0))\n", + "\n", + "dfc[\"gross_flow_to_aum\"] = np.where(\n", + " dfc[\"aum_qty_mean\"] > 1,\n", + " dfc[\"gross_flow_qty_sum\"] / dfc[\"aum_qty_mean\"],\n", + " np.nan\n", + ")\n", + "dfc[\"flow_direction_balance\"] = np.where(\n", + " dfc[\"gross_flow_qty_sum\"] > 0,\n", + " dfc[\"net_flow_qty_sum\"] / dfc[\"gross_flow_qty_sum\"],\n", + " np.nan\n", + ")\n", + "dfc[\"sub_share_mean\"] = np.where(\n", + " dfc[\"gross_flow_qty_sum\"] > 0,\n", + " dfc[\"sub_qty_sum\"] / dfc[\"gross_flow_qty_sum\"],\n", + " np.nan\n", + ")\n", + "dfc[\"redemption_bias\"] = np.where(\n", + " dfc[\"gross_flow_qty_sum\"] > 0,\n", + " (dfc[\"red_qty_sum\"] - dfc[\"sub_qty_sum\"]) / dfc[\"gross_flow_qty_sum\"],\n", + " np.nan\n", + ")\n", + "dfc[\"activity_intensity\"] = np.where(\n", + " dfc[\"n_months\"] > 0,\n", + " dfc[\"n_tx_total\"] / dfc[\"n_months\"],\n", + " np.nan\n", + ")\n", + "dfc[\"exit_rate_per_isin\"] = np.where(\n", + " dfc[\"n_isin_total\"] > 0,\n", + " dfc[\"full_exit_count\"] / dfc[\"n_isin_total\"],\n", + " np.nan\n", + ")\n", + "dfc[\"entry_rate_per_isin\"] = np.where(\n", + " dfc[\"n_isin_total\"] > 0,\n", + " dfc[\"entry_count\"] / dfc[\"n_isin_total\"],\n", + " np.nan\n", + ")\n", + "dfc[\"aum_final_to_peak\"] = np.where(\n", + " dfc[\"aum_qty_max\"] > 0,\n", + " dfc[\"aum_qty_last\"] / dfc[\"aum_qty_max\"],\n", + " np.nan\n", + ")\n", + "dfc[\"aum_drawdown_last\"] = dfc[\"aum_drawdown_last\"].clip(0, 1)\n", + "\n", + "# Log-transforms sur variables de taille brute (non utilisées en clustering)\n", + "for col in [\"aum_qty_mean\", \"gross_flow_qty_sum\", \"n_tx_total\"]:\n", + " dfc[f\"log_{col}\"] = np.log1p(dfc[col].clip(lower=0))\n", + "\n", + "# Filtres qualité\n", + "dfc = dfc[(dfc[\"n_months\"] >= 6) & (dfc[\"aum_qty_mean\"] > 0)].copy()\n", + "\n", + "# Retrait des outliers sur variables de taille\n", + "for col in [\"aum_qty_mean\", \"gross_flow_qty_sum\", \"n_tx_total\"]:\n", + " cap = dfc[col].quantile(0.99)\n", + " dfc = dfc[dfc[col] <= cap].copy()\n", + "\n", + "print(f\"After outlier removal: {len(dfc)} accounts\")\n", + "\n", + "# Regroupement géographique\n", + "top_countries = dfc[\"country\"].fillna(\"Unknown\").value_counts().head(10).index\n", + "top_regions = dfc[\"region\"].fillna(\"Unknown\").value_counts().head(10).index\n", + "dfc[\"country_grp\"] = np.where(dfc[\"country\"].isin(top_countries), dfc[\"country\"], \"Other\")\n", + "dfc[\"region_grp\"] = np.where(dfc[\"region\"].isin(top_regions), dfc[\"region\"], \"Other\")\n", + "\n", + "df_last_active = (\n", + " df_month[df_month[\"active_month\"] == 1]\n", + " .groupby(ID_COL)[\"month\"]\n", + " .max()\n", + " .reset_index(name=\"last_active_month\")\n", + ")\n", + "reference_date = df_month[\"month\"].max()\n", + "df_last_active[\"months_since_last_tx\"] = (\n", + " (reference_date.to_period(\"M\") - df_last_active[\"last_active_month\"].dt.to_period(\"M\"))\n", + " .apply(lambda x: x.n)\n", + ")\n", + "dfc = dfc.merge(df_last_active[[ID_COL, \"months_since_last_tx\"]], on=ID_COL, how=\"left\")\n", + "max_months = dfc[\"months_since_last_tx\"].max()\n", + "dfc[\"months_since_last_tx\"] = dfc[\"months_since_last_tx\"].fillna(max_months + 1)\n", + "\n", + "print(\"dfc shape:\", dfc.shape)" + ] + }, + { + "cell_type": "markdown", + "id": "d180b613", + "metadata": {}, + "source": [ + "## 3. Global Clustering (all active accounts)\n", + "\n", + "Baseline clustering on all accounts with sufficient history." + ] + }, + { + "cell_type": "markdown", + "id": "55ab41d3-20f6-4559-8e38-68420b4230b1", + "metadata": {}, + "source": [ + "**Feature set final retenu**\n", + "\n", + "- flow_freq : proportion de mois avec au moins une transaction — mesure la fréquence globale d'activité du compte\n", + "- gross_flow_to_aum : volume brut de flux rapporté à l'AUM moyen — mesure l'intensité des transactions indépendamment de leur direction, après clip p90 et log-transform\n", + "- n_isin_total : nombre total d'ISINs distincts détenus sur toute la période — capte l'étendue du portefeuille exploré\n", + "- avg_holding_months_per_isin : durée moyenne de détention par ISIN — capte la fidélité aux produits\n", + "- exit_rate_per_isin : nombre moyen de sorties complètes par ISIN — mesure la propension à liquider ses positions\n", + "- flow_direction_balance : ratio flux nets sur flux bruts — distingue les acheteurs nets des vendeurs nets sur l'ensemble de la période\n", + "- log_aum_qty_mean : logarithme de l'AUM moyen — seule variable de taille retenue, incluse pour distinguer des comportements identiques sur des niveaux d'engagement très différents\n", + "- months_since_last_tx : nombre de mois écoulés depuis la dernière transaction — variable de récence, la plus discriminante du set (ratio inter/total de 0.89)" + ] + }, + { + "cell_type": "code", + "execution_count": 197, + "id": "353c7d48-4644-4427-ac4b-02e3f3e31690", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "flow_freq — min=0.0000, max=1.0000, valeurs > 1 : 0\n", + "Accounts: 7179 | Features: 8\n", + "Points > 5 std after scaling: 0 (0.0%)\n", + "\n", + "Features with most extreme values (>5 std):\n", + "Series([], )\n", + "\n", + "K=4 | sil=0.2312 | db=1.5109\n", + "\n", + "=== Tailles des clusters ===\n", + " n_comptes pct\n", + "cluster_k4 \n", + "0 2708 37.7\n", + "1 1174 16.4\n", + "2 1476 20.6\n", + "3 1821 25.4\n" + ] + }, + { + "data": { + "image/png": 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09KR69eocO3Ys3T6ff/65+v/6+vqUK1cORVE0yi0sLChZsiT//vtvuv2bN2+OmZmZ+v5HH32Evb29+lhXr14lNDSUdu3aaawzVbduXVxcXDJcF7Bdu3Zv7GsabR/XNH5+fhqj6dJGJDVs2FCjH2mjYtL6HBgYyL1792jWrBnh4eHq48TGxuLn58e5c+fSPV9eXVy/UqVKREREqB/TrAoPDwfQGHn3stjYWGJiYrC1tdXoy6uGDx/OypUr33jr0aOHxn4zZsygWLFitGrVKlvxZ6Zy5cq4ubmp7ycnJ3PixAkaNGhAsWLF1OWFChWiadOmXLhwId3fsE2bNhgaGqrvt2vXDgMDgwyf829iYWHBrVu3uHfvXtY78wbJyckMHTqUmJgYFi5c+Mb19t50Hk9JSeGXX36hXr16eHl5pduedm4+duwY3t7eVKpUSb3N1NSUNm3a8PDhQ/7++2+N/Zo3b65x3s7O89/CwoL4+HiNKcZCCCFEVsl0SyGEyAFpXxBjYmJy/VhVqlShUaNGLFiwgFWrVlGlShUaNGhAs2bNMDIyeu2+9+/fR1EU5s6dy9y5czOsExoaioODg/r+q9PlMtOzZ09OnjxJq1atKF68ODVq1KBp06ZUrFgx030ePXoEpJ/yZWVlhaWlZYb7ODo6atxP+wIfGRmpLrt16xZz5szh9OnT6b7cRkVFadWfrHBwcEj3t//nn3+4fft2potIh4aGAtC4cWO2bt3K6NGjmTlzJn5+fnz44Yd89NFHr124OiIiIstJ0jSWlpaZPldefi5nlhxJk/b4lSxZMt02V1dXfv/993QL4b/6+Jmbm1OgQIF008DMzc2JiIhI127x4sU17qtUKooXL65Okr4uJhcXl3TrGRkYGFC4cOHMupiOto9rmiJFimjcT/v7vnrMtOR32vM4LWHy6vpvL4uKitJ4nWT22nj27Nlrk1hvomRyxcDixYvz6aefMmPGDIYMGcLcuXMzTKiXK1cuy8e8dOkSO3fuZNWqVVlawF0br57TwsLCiIuLy/R5nJKSwuPHjylVqpS6/NXnoampKfb29hrJem0NHDiQvn370qhRI9zd3alZsyaffvopnp6eWW7rVWnnwaVLl2qcZ8PCwjTWaDQxMcHU1PSN5/GwsDCio6M1/hYZefToUbopqpD6Gkzb7u7uri5/9THJzvM/7Xma1emuQgghxMskSSaEEDnAzMyMQoUKcevWrWy3kdkH+5e/yKTVmzdvHpcuXeLo0aP89ttvjBo1ipUrV7J58+bXjgBK++W9W7du1KpVK8M6ryastL3qm6urK/v37+fXX3/lt99+4+DBg2zYsIF+/foxcOBArdrQRmZfmNO+IEVGRtKxY0fMzMwYOHAgzs7OFChQgGvXrjFjxgytRmtl9lhktu/LIyBeruvu7q5e0+pVaUkSY2Nj1q9fz5kzZ9R/u71797J582ZWrFiR6Si+AQMGcPbs2Tf2JSNr1qyhatWqGW5L+xL7119/aYwCySkZPX6Z9TGz5ExOMjIyylISRtvHNU1mfXtTn9P+/frrryldunSGdV8dFfSm10ZWpS3A/3IC+lU9e/YkIiKCZcuWMXr0aKZMmZLu9aNtQtfY2FidLJw+fTqVKlWiaNGi6gsapI1sCw4O5tGjR+mSgtrK6PWal149p1euXJlDhw5x+PBhTpw4wU8//cTq1asZP378W42i++WXX/jxxx/58ssvqV27tsa2zz//XCOh179/fwYMGJBn5/FXvfqYZOf5HxkZScGCBXX++AohhPj/JkkyIYTIIfXq1WPz5s1cvHgRHx+fLO//8oiol0fwpI2MeVWFChWoUKECgwcPZteuXQwbNoy9e/fSqlWrTJM8aVOJDA0NqV69epZjfBMTExMaN25M48aNSUhIYMCAASxZsoTevXtnmGxL+5J7//59jWlO4eHh6a4Up62zZ88SERHBggULNBZ9z+jKgZn9ndL+/q+OOsvKKBFnZ2du3LiBn5/fG0c26Onp4efnh5+fHyNHjmTJkiXMnj2bM2fOZPo4DR8+/LXJi9d53QiVevXqsXTpUn7++ec3JsnSHr+7d++m23bnzh2sra3fOL0rq/755x+N+4qi8M8//6gvTPFyTK+O9rp7967WiZXMHrOsPK5vI+31YGZmliuvVW2kJUwzeu287KuvvuLZs2ds3boVS0vLdFdQ1Dah26JFC7777jsAHj9+zMOHD/nggw/S1fP398fc3Jzz589r25XXsrGxoWDBgpk+j/X09NKNCPznn3/UU2whdeRlcHCwRjLK0tIy3Ws0ISGB4ODgdMexsrLis88+47PPPiMmJoaOHTsyf/58dZIsq8+1u3fvMnz4cBo0aECfPn3SbZ8+fbrGxVFePv++7jxuY2ODmZnZG38QcnR0zPTvmbb9dbLz/H/w4IH6OSuEEEJklyTJhBAih/To0YNdu3YxevRoVq9ejZ2dncb2+/fvc/ToUbp06ZLh/mkjuM6dO6f+YhgbG0tAQIBGvWfPnmFhYaHxpSntl/aEhAQAChYsCKQfAWJra0uVKlXYvHkzHTt2pFChQhrbw8LC3nj1s8yEh4erR55A6ggdV1dXjh8/TmJiYoZJMj8/PwwMDNi4cSM1atRQl69fvz5bMcCL0TQvj55JSEhgw4YN6eoWLFgww+mXLz8WaX/b5ORktmzZonUcH3/8MceOHWPLli20adNGY1t8fDwpKSmYmJgQERGhsZ4XpH88M5KdKWza8PHxoVatWmzdupXatWvToEEDje0JCQnMnj2b4cOHU6hQIUqXLk1AQAC9e/dWJxf/+usvTpw4wSeffJLj8QUEBNCrVy/19MH9+/cTHBxMz549gdS/i62tLZs2beLzzz9XTys9duwYt2/fpl+/flodJ7PnhraP69sqV64czs7OrFixgqZNm6YbIZrd16qJiYnWyVUHBweKFCnC1atX31h3woQJREZGsnLlSiwsLOjbt696m7YJ3ZfPRxMmTCA+Pl5j++nTp1m7di3Dhw/P0WSIvr4+NWrU4PDhwzx48EA99S8kJITdu3dTsWLFdNNVN2/eTMuWLdXrkm3cuJGkpCSNJFmxYsXSJfK2bNmSbiTZq+dOU1NTnJ2defz4sbrs5XP6m6ZBx8TE0L9/fxwcHPjuu+8yTLBlNg1em/N4gwYN+Pnnn7ly5Uq6dckURUGlUlGnTh1Wr16t8aNRbGwsW7ZswcnJSWNNuIxk5/l//fr1115JWQghhNCGJMmEECKHODs7M2PGDAYPHkzjxo359NNPcXd3JyEhgYsXL7J///50i7u/rEaNGjg6OvLNN99w584d9PX12bZtG9bW1hqjyXbs2MHGjRtp0KABzs7OxMTEsGXLFszMzNRf0IyNjXFzc2Pfvn2UKFECKysrSpUqhbu7O+PGjaN9+/Y0a9aM1q1bU6xYMUJCQrh06RJPnjzh559/zlb/u3fvjp2dHb6+vtja2nLnzh3WrVtHnTp1Ml0Pyc7Ojs6dO7NixQr69OlDrVq1uHnzJsePH8fa2jpbI3V8fHzUo1k6deqESqVi586dGU45K1u2LHv37mXq1Kl4eXlhYmJC/fr1KVWqFBUqVGDWrFk8e/YMS0tL9u7dS1JSktZxfPrpp+zbt49x48Zx5swZfH19SU5O5s6dO+zfv59ly5bh5eXFwoULOX/+PHXq1MHJyYnQ0FA2bNhA4cKFX7ueW276/vvv6datG/3796devXr4+flRsGBB/vnnH/bu3cvTp0/VawV9/fXX9OzZkzZt2vD5558THx/PunXrMDc3p3///jkem6WlJe3bt6dly5aEhoayevVqihcvTuvWrYHUUZLDhg1j5MiRdOzYkSZNmhAaGsqaNWtwcnKia9euWh0ns+eGto/r29LT02PSpEn07NmTpk2b0rJlSxwcHAgKCuLMmTOYmZmxZMmSLLdbtmxZTp06xcqVKylUqBBFixbNcO2oNB988AGHDh1SJz9eF++MGTOIjo5m7ty5WFpa0qFDByB7Cd2aNWumK0tLtFWuXFnjb/zgwQM++OADjZFoWTVo0CBOnjxJ+/btad++Pfr6+mzevJmEhAS++uqrdPUTExPp2rUrH3/8MXfv3mXDhg1UrFhRY+Rbq1atGDduHAMGDKB69ercuHGD33//XSMJBdCkSROqVKlC2bJlsbKy4sqVKxw4cEDjAiZly5YFYNKkSdSsWRN9fX2aNGmSYV8WLFjA33//jb+/P4cPH9bY5uzs/NqRztqcx4cMGcKJEyfo1KkTrVu3xtXVleDgYPbv38+GDRuwsLCgV69e7Nmzh549e9KpUycsLS0JCAjgwYMHzJ8//41TnLP6/L969SoREREZjjwUQgghskKSZEIIkYM++OADfv75Z5YvX87hw4fZuHEjRkZGeHh4MGLECPUX+YwYGhqyYMECxo8fz9y5c7G3t6dLly5YWFhorH9UpUoVrly5wt69ewkJCcHc3Bxvb2/1leDSTJo0iYkTJzJ16lQSExPp378/7u7uuLm5sW3bNhYsWMCOHTuIiIjAxsaGMmXKaD3KJiNt2rRh165drFy5ktjYWAoXLkynTp00RpRkZNiwYRgbG7N161ZOnTpFhQoVWL58Oe3bt3/jhQgyYm1tzZIlS5g2bRpz5szBwsKCTz75BD8/P7p3765Rt3379gQGBrJ9+3ZWrVqFk5MT9evXB1KvrDd27Fh++OEHLCws+Pzzz6latSpffPGFVnHo6emxcOFCVq1axc6dOzl06BAFCxakaNGidOrUSb1IeP369Xn48CHbtm1Tj+KoUqUKAwYMUK/PlNdsbGzYtGkTGzZsYO/evcyePZvExET136dz587qutWrV2fZsmXMmzePefPmYWBgQOXKlfnqq680no85pU+fPty8eZMffviBmJgY/Pz8GDdunHqkDUDLli0xNjbmxx9/ZMaMGZiYmNCgQQO++uqrN47CSZPZc0PbxzUnVK1alc2bN7No0SLWrVtHbGws9vb2eHt7pxvFpq0RI0YwduxY5syZQ3x8PC1atHhtkuyzzz5j3bp1XLhw4Y3Tb42MjFiwYAFffPEFkyZNwsLCIk9G9sTGxgJgb2+f7TZKlSrF+vXrmTlzJkuXLkVRFLy9vZk+fXqGf5+xY8eya9cu5s2bR2JiIk2aNGH06NEaicTWrVvz4MEDfvrpJ3777TcqVqzIypUr0yVqO3XqxJEjRzhx4gQJCQk4OjoyaNAgjfNVw4YN6dSpE3v27OHnn39GUZRMk2Rpa7ctXrw43bYWLVq8NkmmzXncwcGBLVu2MHfuXHbt2kV0dDQODg7Url1bvR6YnZ0dmzZtYvr06axbt47nz5/j4eHBkiVLqFu3bqbHf1lWnv/79+/H0dFRYwqsEEIIkR0qJS9WxRVCCCGyIDIyksqVKzNo0CD8/f11HY7IB86cOUPnzp2ZO3cuH330ka7Dea906dKFQoUKMX36dF2HkqH169czY8YMDh06lG6au3j3JSQkUL9+fXr27JnpcgZCCCGEtnQ+kiw4OJjLly8TEhICpP7yVL58+bf6NVAIIcT/j/j4+HRXI1u9ejWQOmpOCKFbQ4YMoUOHDgwaNAgnJyddh5POmTNn6NSpkyTI3lPbtm3DwMCAdu3a6ToUIYQQ7wCdJcliY2MZO3Yse/fuRaVSYWlpCaQuSJ02hHzChAka0yeEEEK8e/bu3cuOHTuoXbs2JiYm/PHHH+zevZuaNWvqbE0uIcQL5cuX12rxfl2ZN2+erkMQOtSuXTtJkAkhhMgxOkuSTZ48mStXrrB06VKqV6+Ovr4+kHr1sFOnTjFx4kQmT57MpEmTdBWiEEKIPODh4YG+vj7Lli0jJiYGW1tbOnfuzKBBg3QdmhBCCCGEEOI9orM1ySpXrszSpUvx9fXNcPuFCxfo06cP586dy+PIhBBCCCGEEEIIIYQubdiwgY0bN/Lw4UMg9UI7ffv2pU6dOrl2TJ2NJEtJScHQ0DDT7YaGhqSkpORhREIIIYQQQgghhBAiPyhcuDDDhg2jePHiKIpCQEAA/fr1Y8eOHZQqVSpXjqmXK61qoW7duowdO5br16+n23b9+nW+/fZb6tWrp4PIhBBCCCGEEEIIIYQu1a9fnzp16lCiRAlKlizJ4MGDMTEx4dKlS7l2TJ2NJBs7dixDhw6lZcuWWFpaYmNjA0BYWBiRkZHUrFmTsWPH6io8IYQQQgghhBBCCJHDEhISSEhI0CgzMjLCyMgo032Sk5PZv38/sbGx+Pj45FpsOluTLM3t27e5dOkSISEhANjZ2VGhQgVcXV2z3WbQ9wNyKjzxjrDpMkTXIYh8RC/4jq5DEPnIhIdOug5B5CMfexbSdQgiH/HY+72uQxD5SMEuY3QdgshHDMLu6ToEkY8YFC2r6xDyhT6qElrVKztvKAsWLNAo69+/PwMGpM/l3Lx5k7Zt2/L8+XNMTEyYOXPmu7kmWRpXV9e3SogJIYQQQgghhBBCiP8PvXv35osvvtAoy2wUWcmSJQkICCAqKooDBw4wfPhw1q1bh5ubW67EpvMkmRBCCCGEEEIIIYT4/2akp9Ku3humVr5at3jx4gCUK1eOK1eusGbNGiZMmJDtOF9HZwv3CyGEEEIIIYQQQgihrZSUlHTrmeUkGUkmhBBCCCGEEEIIId6KvnYDybQ2c+ZMateuTZEiRYiJiWH37t2cPXuW5cuX5+yBXqLTJFlycjJ//PEHHh4eWFhY6DIUIYQQQgghhBBCCJFN2k631FZoaCjDhw/n6dOnmJub4+HhwfLly6lRo0aOHudlOk2S6evr061bN/bu3StJMiGEEEIIIYQQQggBwJQpU/L8mDpfk6xUqVI8ePBA12EIIYQQQgghhBBCiGzSV6m0uuVnOk+SDRo0iGnTpnH06FGePn1KdHS0xk0IIYQQQgghhBBC5G9GeiqtbvmZzhfu79WrFwD+/v6oXsooKoqCSqUiMDBQV6EJIYQQQgghhBBCiPeEzpNka9as0XUIQgghhBBCCCGEEOItGObzqZTa0HmSrEqVKroOQQghhBBCCCGEEEK853S+JhnA+fPnGTZsGG3btiUoKAiAgIAAzp8/r+PIhBBCCCGEEEIIIcSb6Ku0u+VnOk+SHThwgO7du2NsbMy1a9dISEgAIDo6mqVLl+o4OiGEEEIIIYQQQgjxJu/Cwv06T5ItXryY8ePHM2nSJAwMXsz+9PX15fr16zqMTAghhBBCCCGEEEK8L3S+Jtndu3epVKlSunJzc3MiIyN1EJEQQgghhBBCCCGEyIr8PkpMGzofSWZnZ8f9+/fTlV+4cIFixYrpICIhhBBCCCGEEEIIkRX6KpVWt/xM5yPJWrduzeTJk5kyZQoqlYqgoCAuXrzItGnT6Nu3r67DyzcMi7piWuUDDAo7o29mScT2H3n+95/a7etUEut2X5IU/Jiw1dMyrGNS9UPM63xCzPmjRB/ZnpOhi1yycfvPrNz0EyFh4Xi4ujDqy754lfHIsO6hY7/z47rN/PvwEUlJSTgXdaJLm5Z80qgBAIlJScz/cTW/nT7Hg8ePMTM1pVolHwb37kYhO9u87JbIpg37jrFi5yFCIiLxKFGUb7q3xrtUiUzrR8bEMnfDzxw6fYln0bE42tsw4ovPqVOxHADJySks3LKHXcfPEhIRSSFrS5rXq0afzz9Glc/f2ESqfy+f4u/f9xP+720SYqNo9PVsrIu6vHGf6we3Eh3yhJTkJMztHfGo9yklq9RT1zm9bi73zh7R2K+wpw91+36bG90QOURRFHas+ZFf9/1MbHQUpcp602Xg1xR2yvwHyaGdWhAS9CRd+QfNWtJ5wFcAJCQ8Z9PSeZz+9ReSEhPxqlSVzgO+wtLaJtf6IrLv4oMQ1l24xc2nEYTExDOtaVXquDlmWv/SwxAW/n6Nf8KjeJ6YTGELE5p7laSdr5u6zrbLd9h+5S6PI2MBcLExp1tVT6qXLJzr/RE5Y9PmzaxevYaQ0FDc3d0ZMfxrvMqVy7T+wUOHWLhoMY8ePcLZ2ZlBAwdSq1bNDOtOnDSZn7Zt46thQ+nYoUNudUHkoA0B+1i5JYCQsAg8XEswakAPvD1LvXG/vUd+56vJs6hfvQrzJ45Qly9cvYl9R0/wJDgEQwMDyri78mW39niXds/NbgiRbTpPkvXq1YuUlBS6du1KXFwcHTt2xMjIiG7dutGpUyddh5dvqAwLkPj0IXFXTmPVoqf2+xUoiEXjTiT88xd6JuYZ1jEo7IxJ+RokPn2YU+GKXLbv8DG+X/gjY4cOwLuMB2u3BtB72DfsWr8MW2urdPUtLczp1aktJZ2LYWhowLGTZxnz3Sxsra2oUaUS8fHPuX7rb3p3aY+HW0kio6L5bt4S+o/8li0/zs/7Doos2XfiPNNWbWNc73Z4lyrB2t1H6DVxPnvmf4utZfrXfUJiEj3Gz8PG0pw5X/XEwcaKR8GhmJuaqOssCzjIpgPHmTqgM27FHLl6+x++WbAWM5OCdGpSL12bIv9Jeh6PvUtpnH1qcG7TQq32MTIxo2zDVpg7FEVP34BH185zdsM8jM0tKVLaV12vSGlfqnQYqL6vb2CY4/GLnLV3yzoOBWyl51djsCvsyPbVPzBj5CCmLNuAkVGBDPcZN38FKSkp6vsP793m+xFfUrn2B+qyDUvmcvnMSfqPnkxBUzPWLpzJvPEjGDPnh1zvk8i6uMQkStlb0qxscUbsPvPG+gUNDWhV3gU3e0uMDfS5/CiUaYcvUdBQn+ZeJQEoZF6QfjXKUtTKDFDYc/0+X+86zZoO9XGxtcjlHom3tf/AAWbMnMXob0bhVc6L9RvW49+3HzsDdmBrkz7ZfenSZUaMHMXAAf2pXasWe/ftZ9CQIWzauIFSbm4adQ8fOcKVK1ewt7fPq+6It7Tv6O98v2Ql4wb1xsvTnbXbd9N7+AR2r5qf4XeMNA+fPGXG0lVU9CqTblvxoo58M6AHRYs48DwhgTU/7aLn8AnsW7MQGyvLXOyN0AUjnc9VfHs674JKpcLf358zZ86we/dutmzZwqlTpxg0aJCuQ8tXEu5eJ+b3PTy/pd3osTQWDdsQH3iBxEd3M9yuMjTCsmkXIg9sRImPzYlQRR5Ys2U7nzf9iBaNG+Jaojhjhw7A2LgAO/YcyLB+FZ/yNKhdA9cSzjg7OdKpVXPcXUryx5/XADA3M2XZrKl8VL82JZ2LUb5saUYN6sv1m7d4HPQ0L7smsmHVriO0alCDlvX9cCtWhHG922FcwIjth09mWH/7kZM8i45l/vA++Hq64lTIlspl3fEsUVRd59LNO9Sv7E2dil44FbKlkZ8vNcqX5srf9/KoV+JtlaxSj3Ift8XBo7zW+ziU8qJoeT8sCxfD3L4IHnWbYeVYguA7gRr19AwMKWhhrb4ZmZjldPgiBymKwoEdm2nWviu+1Wvj7OJGr6/HEhEawh8njme6n4WVNVY2turbpTMnKOTohKe3DwCxMdEc37+L9r0HUsanEiXdPekx9Bv+vn6FvwOv5lX3RBZUL1mYPtXLUPc1o8de5lHIioaexXCxtcDR0pSPSztTtXghLj0MVdep5VKE6iUL42xthrO1Of41ymJiaMDVx2G51Q2Rg9auW0/Lli1o/umnuLq6MPqbbzA2NiYgYGeG9ddv3ED16n507dIFFxcX+vfrS+nSnmzatFmjXtDTp3w37XumTJmMoYHOx2UILa3+aRefN/6QFh99gFuJYowb1BvjAgXYvv9IpvskJyfz9ZTZ9OvSlqJFHNJtb/pBbfwqlqeYY2HcSjjztf8XRMfE8tedf3KzK0Jkm86TZCNHjiQ6OhojIyPc3Nzw9vbG1NSU2NhYRo4cqevw/q8Zl6uKvpUdMSf2ZVrH/MPWPL9zjYR/buZhZOJtJCYmcv2vW1Sr5KMu09PTo1pFHy5fC3zNnqkUReH0hYvc+/cBFct7ZVovOiYGlUqFuZlpjsQtckdCYhLXb9+nmveLqbZ6enr4eXty6a+Mk+NHz12hvEdJJv24iVrdhvPJoIks3baf5OQXI0YqeLhw+spN7j0KAuDGvQf8ceM2tXzK5m6HRL6hKApPbl4m8ulDCrlqPu5P/77KjlGd2TPJn/ObF/M8Ri60k58FP3nEs7BQyvpWVpeZmJrh4llG62RWUmIiJw8foHajpuop1/f+ukFyUhJlXmrX0bkEtoUK8/f1KznbCZEv3HwawZXHYfgUtctwe3KKwqGbD4hLSsariEy5ze8SExMJDAykWtWq6jI9PT2qVa3Kn39m/MP8n39e0agPUN3PT6N+SkoK34weTdcunXFzdc2d4EWOS0hM5Ppft/Hz9VaX6enpUc3Xm8vXM/+uuHjtVmytLPmscQOtjrF1z0HMTU3wcC2RE2GLfMZIT6XVLT/TeVo/ICCAYcOGYWam+St0fHw8O3fuZOrUqTqK7P+bvrU9ZnU+IXzDHFBSMqxTwNMXA4dihK2ZnrfBibcS/iyS5OSUdEOebW2suHv/30z3i4qOof5nHUhMSERPX4/Rg/tTvbJvhnWfP09g9pIVNP6gLmamkiTLzyKioklOScHOSnNKi62lOXceBmW4z4OgEM5cDaVprcos+aYf9588ZcIPm0lKTqZf6yYA9GzRkJjYeJoMnIC+norkFIUv2zejWe0qud4noVsJcTH8PKYbyUmJqPT0qNSqD4U9K6i3FyntQ7Hy1TC1dSA65Al/7lrLscUTaDBkGnp6+roLXGTqWVjqqB9LK82khYW1Dc/CQzPaJZ0LJ48RGx1NzYZNXrQbHoqBoSGmZprTui2srXkWLqOI3iXNlu0jIi6B5JQUelQrzaflSmhs/zvkGT03HyMhKYWChgZMa1qVkjLVMt8LD48gOTk53bRKW1sb7t67l+E+ISEh2NrYvlLflpDQF+eSlStXoa9vQPt27XI8ZpF7Ip5FkZySwXcMayvu/pvxsjwXrgSyfd8vbPth1mvb/vXUeYZNmkX88+fY21jz4/fjsLaUc8S7KL8vyq8NnSXJoqOjURQFRVGIiYmhQIEX62EkJydz/PhxbDKYBy+0oFJh2bQLMSf2khwenGEVPXMrzD/4jIgtCyE5KY8DFLpgalKQbcsXERsXx+kLl5i+8AeKOhamio/mVKzEpCSGjpuMoiiMGdpfR9GK3JSiKNhYmjO+Twf09fUo6+pMUOgzVuw8pE6S7T/5B7t/O8v0QV/gVqwIN+4+YOrKnyhkbUXzetV03APxqnvnfuX85sXq+7X9x6Yb/aUtwwIFaTR8DknP4wj6608uBqzA1M4Bh1KpI0+LV6ytrmvlWAIrxxLsntCbp7euUjgLUztF7jl5+ACr5r64UM+QSTPeus3j+3fjXbka1rayttD7aGmr2sQmJnH1cRiLTlyjqKUpDT1fXPShuLU5azrUJ+Z5IkduPWLCwQss/ryWJMreQ9evX2f9xo1s2rBBLvTzjouJjWPkd3MZP6TvGxNeVSqUY9sPM4l4FslPe35h6MSZbFzw3WvXORNCV3SWJKtUqRIqlQqVSkWjRo3SbVepVAwYMEAHkf3/UxkZY1ikOAYORTFv0Oq/QhUqlR6Fhs0hfMsi9IyM0Te1wKbL1y/209PHsJgrJr61eTpzMCiKjnogXsfa0gJ9fT1CwyM0ykPDIrCzsc50Pz09PZyLpq5B4lnKlTv/3GfZus0aSbLUBNkUHgU9ZcWcaTKK7P+AlbkZ+np6hERoTncLfRaVbnRZGntrCwz09dHXfzHj3qVoYUIiIklITMLI0IAZa7bTo0UjGtesBIB7cScehYTx4/YDkiTLh5y8qmBb4sWU24KW2f+RSaWnh7l9EQCsi7oQ+eRfAg/9pE6SvcrMrjAFTC2IDnkMkiTLF3z8auLq+WLx5MTERACeRYRhZftimlxkeBjOrm++ulhI0GOuXTzHwLGao/strW1JSkwkJjpKYzRZZHi4XN3yHeNomfp5wM3OkrDY5yw7c0MjSWaor0cxq9RZIZ4O1lwPCmfzxduMaOCTYXsif7C2tkJfX5/QMM2Rn6GhYdjZZnx1czs7O0LDQl+pH6qu/8fFi4SFhfFR48bq7cnJycycNZv16zewb++eHO6FyClWlubo62XwHSM8Ajsbq3T17z96wsMnT+k3eoq6LOW/74/eH37O7tULcHZMvcqtSUFjijsVobhTEcqX8eDjzv3Yvu8wPdt/lmv9EbqR36dSakNnSbI1a9agKApdunRh/vz5WFq+uLKFoaEhjo6OODikX/hPvJnyPJ6QFVM0ykx8amHk7E7EzuUkPwtFpVKlq2P5cQeSwoKIOfOLJMjyMUNDQ8q4l+LMhUt8UKs6kLr2w5k/LtGuRTOt20lRFBL+++IELxJk9x88ZMXcaVjJEOj/C0aGBpRxdeb0lZs0qFoBSH0+nP7zJu0/rpPhPj6eruz57RwpKSno6aUmyv55FIS9tSVGhqlvC3HPE9F75RdgPT2V+sOPyF8MjU0wNDZ5c8VsUBSF5KTMRxzHhofwPDaKghaZJ+lF3ipoYkpBkxc/ciiKgqWNLdcvnqf4f0mxuJgY7ty4Tv2mLd/Y3m8H9mBhZU35qtU1yku4e6JvYMD1i+epXCv1qreP//2H0KdPcCuT+ZqX4v+bokBCUsZLebyoo5CQ/Po6QvcMDQ0pXbo0Z86cpX691NdwSkoKZ86epW2bNhnu4+3txZmzZ+nYoYO67PTpM3h7p65j1bRJE6q+smaZf99+NG3ShOaffpJLPRE5wcjQkDLurpy++Ccf1Ex9DFNSUjhz8U/aNW+crr6LsxMBy2ZrlM1bsZGYuDhG9utGYfuME60ASkqKxvcQ8e7Q///PkekuSValSuq6NocPH8bR0VGG476BytAIfesXUxz0rWwxKORESlwsKVHhmNVuhp6ZFZF71wIKySGPNfZPiY1CSUpUlyuQro6SmEBKXEy6cpH/dG7dkm+mzqCsRynKlfZg3dYdxMXF07xxQwBGTp5OITtbBvfuBsCP6zZR1sOdYk5FSEhI5LfT59h94DCj/5tOmZiUxJAxk7j+198snDaBlOQUQkJTf1W0tDDH0NBQNx0VWunarD4j56+hnGtxvEoVZ83uo8Q9f06L+n4AjJi3ikI2Vgzp2ByAto1qsWHfMaas2ErHxnX55/FTfth+gA6N66rbrFfJi6Xb9lPE3hq3Yo4E3v2X1buO0PK/NkX+9zwmitjwYOKepb6Wo56mridi/N8VKQFOr51NQUtbyn/SGYDrB3/CxtkNM7vCJCcl8vj6Be6d+5VKrfsAkPg8jmv7NlG0fHWMLayIDnnC5Z2rMbcrQmHPjNc4FLqnUqlo1KINP29YhYNTMewLF2H7qh+xsrXDt8aL6bPTvu6Pb406fPhpK3VZSkoKvx3cQ80PG6Ovr/mx0cTUjNofNWPj0nmYmVtgbGLKukUzcStTDrfS5fKsf0J7sQlJPIiIVt9/FBnLX08jsDA2orCFCYt+v0ZwTBzjGqWOIv7p8h0czAtS3Dp1pOClhyGs/+MWrSu8WIx90e/X8CvhgIN5QWITkzh44wF/PAhhTosaeds5kS2dOnZgzNhxlC1ThnLlyrJuwwbi4uLUCa1vRo+hUKFCfDkwdYZPh3bt6d6zJ6vXrKV2rZrsP3CAa9evM2bMaACsrKywsrLSOIahgQF2draUKFEiL7smsqHL580YNW0+Zd3d8PIsxdptu4iLf06LRvUBGPnd3NTvGD06UsDIiFIli2vsn3bBr7Ty2Lh4flj/E/WqV8be1prwZ1Fs3LmPoJAwGtXR/OFFvBtkTbIccPv2bR4/fkylSqlvxuvXr2fLli24ubkxduxYjRFm7zODws7YtPtSfd+8fuovv3FXzhC5bx16ppboy6/4742PP6hDeMQzFqxYS0hYOJ5uLiyZMUk93fJx0FONUUBxcfFMmrWAoOAQChQwoqRzMaaO/pqPP0gdafQ0OISjJ04D8Hm3vhrHWjF3Wrp1y0T+8nGNSoQ9i2b+pt2ERETiWbIoS0f3V0+3fBwSjp7qxdTKInY2/DimP9+t/InmQybjYGNFxyb16NG8obrONz1aM2/jLib8sJmwyCgKWVvS+sOa+LdK/0uiyJ8eXj3L2fXz1PdPrkpdl6rsR23xapy6mHJMeAi89NxISojn/NYlxEWEom9ohHkhJ/w6D8bZtxYAKpUeEY/ucffsURLjYjC2tKGwZwW8G3dAX5Lp+Vrj1h15Hh/HqjnfERsdTaly3gybMhsjoxdrwj59/JDoZ8809rv2xzlCnz6hdqOmGbbbvs+X6KlUzJ84ksSERLwqVaXzgK9ytS8i+wKDwum37Xf1/bnHU69C2ri0M2MbVSQkJp4nkXHq7SmKwuIT13j0LBZ9PRVOlqb0q1GWFt4l1XXC454z/sAFQmPjMTMywNXOkjktalC1eKG865jIto8aNSI8PJxFixcTEhqKh4cHixYuwPa/6ZNPnjxRjzoHqFChPFOnTGbBwkXMX7AAZ2dn5syaRSk3N111QeSgj+vVJOxZJAtWbSQkPAJP15Is/W6Merrl46chqF763PAm+vp63P33ITu//ZXwyEisLMwp5+HGmjmTcCvhnEu9ELr06kyU/0cqRdHt3JlmzZoxbNgw6tSpw82bN/nss8/o1q0bZ86cwcXFJVtXtwz6XtYyE5psugzRdQgiH9ELvqPrEEQ+MuGhk65DEPnIx57yxV684LH3e12HIPKRgl3G6DoEkY8YhN3TdQgiHzEomr0LJr1rdjtqt9xC00dXcjmS7NP5SLIHDx7g6po6ZPvgwYPUr1+fIUOGcO3aNXr16qXj6IQQQgghhBBCCCHEm+gbaT/SML/SeQ8MDQ2Jj48H4OTJk9Sokbp+gaWlJdHR0a/bVQghhBBCCCGEEELkAyp9Pa1u+ZnOR5L5+voydepUfH19uXLlCnPmzAHg3r17FC5cWLfBCSGEEEIIIYQQQog3Ur0Dl7fUeQpv7NixGBgYcODAAcaNG4eDgwMAx48fp1atWjqOTgghhBBCCCGEEEK8iZ6+SqtbfqbzkWSOjo4sXbo0XfmoUaN0EI0QQgghhBBCCCGEyCqVns7HYb01nSfJHj169Nrtjo6OeRSJEEIIIYQQQgghhMiO/D5KTBs6T5LVr18flSrzP2RgYGAeRiOEEEIIIYQQQgghsupdWJNM50mygIAAjfuJiYkEBgaycuVKBg8erJughBBCCCGEEEIIIYTW8vuVK7Wh8ySZp6dnujIvLy8KFSrE8uXLadiwoQ6iEkIIIYQQQgghhBDakumWuahkyZJcuXJF12EIIYQQQgghhBBCiDdQ6UmS7K1FR0dr3FcUhadPn7JgwQKKFy+uo6iEEEIIIYQQQgghhLb0cni65dKlSzl48CB37tzB2NgYHx8fhg0bhouLS44e52U6T5JVqlQp3cL9iqLg4OBA7969dRSVEEIIIYQQQgghhNBWTi/cf/bsWTp06ICXlxfJycnMmjWL7t27s2fPHkxMTHL0WGl0niRbs2aNxn09PT2sra2Ji4ujVatWtG/fXkeRCSGEEEIIIYQQQght5HSSbPny5Rr3v/vuO/z8/Lh27RqVK1fO0WOl0XmSrEqVKhmW37hxI48jEUIIIYQQQgghhBDZkdPTLV8VFRUFgKWlZa4dQydJssOHDzNs2LDX1klJSUFRlDyKSAghhBBCCCGEEEJkl7YjyRISEkhISNAoMzIywsjIKNN9UlJSmDJlCr6+vri7u79VnK+jkyRZv379JAEmhBBCCCGEEEII8Y7Q0/LqlkuXLmXBggUaZf3792fAgAGZ7jN+/Hhu3brFhg0b3irGN9FJkuzGjRu0bduWjz/+mC5dumRap0WLFnkcmRBCCCGEEEIIIYTIKpWW0y179+7NF198oVH2ulFkEyZM4Ndff2XdunUULlz4rWJ8E52tSVa3bl31fNKMWFpa0rx587wLSAghhBBCCCGEEEJki56W0y3fNLUyjaIoTJw4kUOHDrF27VqKFSv2tiG+kc6SZOXLl2fixIl07doVMzMzjW1RUVH06NGDb7/9Nltt2zdvmwMRindJ38L1dB2CyEcWXln+5krivRH00Ue6DkHkI5UD1+o6BJGPRHcep+sQRD6yvqiPrkMQ+YjN8aO6DkHkIy2K6jqC/CGnr245fvx4du/ezaJFizA1NSU4OBgAc3NzjI2Nc/RYaXSWJFu9ejWtW7dOlyCD1A63adOGVatW5dplPYUQQgghhBBCCCFEztB2uqW2Nm7cCECnTp00yqdOnUrLli1z9FhpdJYku3nzJl999VWm22vUqMGKFSvyMCIhhBBCCCGEEEIIkR3aTrfU1s2bN3O0PW3oLEkWEhKCgUHmhzcwMCAsLCwPIxJCCCGEEEIIIYQQ2aHS8uqW+VnOjoXLAgcHB27dupXp9ps3b2Jvb5+HEQkhhBBCCCGEEEKI7NDT19Pqlp/pbCRZnTp1mDNnDgULFsTLywsLCwv1tvj4eObPn0+9erLYuhBCCCGEEEIIIUR+l9ML9+uCzpJk/v7+HDx4kG7dutGjRw98fFKvFnPnzh02bNhAcnIyffr00VV4QgghhBBCCCGEEEJLOb1wvy7oLElmZ2fHpk2b+OSTT1i+fLm6XKVSUbNmTcaOHYudnZ2uwhNCCCGEEEIIIYQQWlLpSZLsrTg5OTF79mymT59Oy5YtcXFxwc3NDUtLSwCio6MxMzPTZYhCCCGEEEIIIYQQ4g3y+3pj2tBpkgygV69eAEybNg2V6sX8VUVRUKlUBAYG6io0IYQQQgghhBBCCKEFmW6ZA9asWaPrEIQQQgghhBBCCCHEW5AkWQ6oUqWKrkMQQgghhBBCCCGEEG/hXViTLF/04Pz58wwbNoy2bdsSFBQEQEBAAOfPn9dxZEIIIYQQQgghhBDiTVT6+lrd8rMcSZKdOXOG+Pj4bO174MABunfvjrGxMdeuXSMhIQFIXbR/6dKlORGeEEIIIYQQQgghhMhFKn09rW75WY5E1717dx4+fJitfRcvXsz48eOZNGkSBgYvZn/6+vpy/fr1nAhPCCGEEEIIIYQQQuQiPT09rW75WZbWJGvRokWG5UlJSQwYMIACBQoAsGPHDq3bvHv3LpUqVUpXbm5uTmRkZFbCE0IIIYQQQgghhBA6kN9HiWkjS0myv/76Cz8/PypUqKAuUxSFGzduULVqVWxtbbMcgJ2dHffv36do0aIa5RcuXKBYsWJZbk8IIYQQQgghhBBC5K33Lkm2Zs0aRowYgbe3N/3791cPk1uyZAkdOnTAzc0tywG0bt2ayZMnM2XKFFQqFUFBQVy8eJFp06bRt2/fLLf3Llu/5zArtu8nJPwZniWL8U3vDni7u2RaPzI6ljlrt3Ho1B88i4rBsZAtI3u2o04lbwB+2LqHQycvcOfhY4yNjPDxdGNo188pWbRIXnVJZEPtPh2p7d8B2xKpieXH126xZ8I8ru3/NdN9fD9vzCcTh2JboihPb91lx/DvuLpPs36z8YOp2bMdBa0suH3iPBv9R/P073u51xGRozbsO8aKnYcIiYjEo0RRvuneGu9SJTKtHxkTy9wNP3Po9CWeRcfiaG/DiC8+p07FcgA06DOaR8Fh6fZr91FtxvRsm1vdEDlAzhHiVRv2HGFFwAFCwp/hUaIY3/Rq98bPD3PX7eDQ6RefH0Z0b6P+/LBg404WbdqlsU9Jp8LsWTQpV/shco6iKPywZDEBO7YTHRWFd/kKDB81Cmfn4pnu88eFC6xbs5obgYGEhATz/cxZ1K1X/63bFbrjPagXJZp+iGUpF5Lj43l69iLnxs/k2d93M92nVLsW1F44VaMsKf45qx3Lq+/XWjAV9/aaM5AeHP6NA6165mwHRK5QFIVDm1Zy7pfdxMVGU8KjHM17DcHOsWim+zyPi+XgxuVcO/M70ZHhOJYsRbNuAyjm5glAclISBzcu58YfpwkLeoyxiSlu3hX5uGMvLGzs8qprIg/oGWYpxZQvZakHFStWZPv27YwbN462bdsyY8YMnJ2d3yqAXr16kZKSQteuXYmLi6Njx44YGRnRrVs3OnXq9FZtv0v2/naWacs2822/Tni7u7Dm50P0HDuLvUumYGtlka5+QmIS3cfMwMbKgrkj+uJga83Dp6FYmBVU1zl39Sbtm9SnXKmSJKckM3vNdrqPncXuRZMwMS6Ql90TWRD+4DEBI6bx9NY9UKnw6/IZ/jt/YLJPEx5fv5WuvoufL903ziNg5Pdc2X2Yyu0/pU/AD0zxbcqja38B0PDrPtQb+AWruwwl5O6/fDJxKAMOrGF8mQ9Jev48j3sosmrfifNMW7WNcb3b4V2qBGt3H6HXxPnsmf8ttpbm6eonJCbRY/w8bCzNmfNVTxxsrHgUHIq5qYm6zpZpw0lOSVHfv3X/MT0mzKORn2+e9Elkn5wjxMv2/XaWaSu2MM6/I97uLqzd9Qu9vp3DnkWTMv380GPcrNTzw/A+ONhYpzs/ALg5O7J8wlD1fYN34Jfj98ma1avYvHED4yZMxNHRiaWLFzGwX182/7RdvXzKq+Lj4yjl7k6zT5szfNiQHGtX6E6RGpUJXL6B4ItX0NPXp9KYwXy0bRnb/JqSFBuX6X4JkVH8VOVj9X1FUdLV+feX4/zWf5T6fvLzhJwNXuSaYwEbObl3G60GjMSmUBEOblrBiolfMXjuKgyNMn4db1s0nSf379J64CgsbGy5ePwQy8YPZcicVVja2pP4PJ6Hd/7ig887U6SEK3ExUexasYDV341iwPc/5HEPhXi9LH+iMTc3Z9asWbRp04b27duzefNmVCpVtgNQqVT4+/tz5swZdu/ezZYtWzh16hSDBg3KdpvvotUBB2jVqDYtG9TCzdmJb/t2xriAEdsP/ZZh/e2//Maz6BgWfNMf3zKlcHKwo4qXB54lXyQ1fxw/hBYNalKquBOeJZ2ZOqgbj4NDuSYjA/K1K7sPc3Xfrzz9+x5Pb91l5+gZPI+OpWQ1nwzr1/+yG9f2H+PQjB94cuM2u8bO4v4f16jbv4u6zgeDurFv0nwu/3yIh1dusLLzEKwcHajQvGFedUu8hVW7jtCqQQ1a1vfDrVgRxvVul3p+OHwyw/rbj5zkWXQs84f3wdfTFadCtlQu645niRe/ENpYmmNvbam+HbtwhWKF7alctlRedUtkk5wjxMtW7TxEq4a1aNmgJm7Ojozz75h6fvjl9wzrb//ld55FxzB/VD98S6d+fqhczgPPkppLYOjr62ucI6wt0ifkRf6kKAqbNqynW4+e1Klbj1Lu7nw7YSIhwcEc+/VopvtVr1ET/379qVe/fobbs9uu0J0DrXpya+MOIm78Tdi1mxzvNxKzYk7YlS/72v0URSHuaYj6Fh8cmq5OyvMEjToJz2St6f8HiqJwYvdP1P+8E2Wr1KRICVfaDBhJZHgI189m/L6R+Pw5V08fo3Hn3riULY9dkaJ82OYL7Ao7cfrATgCMTc3oMW4m3jXqYe/kjLN7WT7p8SUPb/9FRHBQXnZR5LL3+uqWn332GevWrWPr1q0kJSVlO4CRI0cSHR2NkZERbm5ueHt7Y2pqSmxsLCNHjsx2u++ShMQkrv39D37ly6jL9PT08KtQhks3b2e4z5Ezl6jg6crEJeuo2WkQzfqNYemW3SQnp2RYHyAqJvUXI0tz05ztgMg1Kj09KrVphpFpQe6e+iPDOi5+Ptz45YRG2fUDx3H5b0SQXcliWBYpROBLdeIjo7h75pK6jsi/EhKTuH77PtW8PdRlenp6+Hl7cumvjKdLHD13hfIeJZn04yZqdRvOJ4MmsnTb/kzPDwmJSew6fpaW9f3e6kcRkffkHPF+Sz0//EO1Vz8/lC/NpZt3Mtzn6LlLlPdwYdLSDdTqPJhPBoxl6dY96c4P9x8FUafrUBr2GsFXM3/kUQZfkkX+9OjhQ0JDQqhStaq6zMzcnLLlvLjy5+V8167IO4b/JbufRzx7fT1TE9pcPkybK0dpsG4hVp7pl9wpXLMK7W+e4LMz+6g+YxwFrK1yI2SRw8KCHhMVEYabd0V1mbGpGcVKleGfm9cz3CclJZmUlBQMDI00yg2MjLh340qmx4qPiUalUmFsapYzwYt8QU9fT6tbfvZW0ZUoUYItW7Zw7tw5XF1dgYyH275OQEAAzzOYqhEfH8/OnTvfJrx3RkRkFMkpKdhaa06LsLWyICQ84zexB0+COXDiPMkpKSwdNwj/ts1YGXCAJVt2ZVg/JSWFqT9uxLe0G+7FM59vLvIHx3IezIm6xoLnf9F+yWSWtujN48C/M6xrUdieyKAQjbKooGAsCtuptwNEBgVnUMc+F6IXOSkiKprklBTsXpk2ZWtpTkhExr/aPggK4eCpiySnpLDkm374t/qYVT8fZsm2fRnWP3z2MlExcbSoVy3H4xe5Q84RAiAiMpPzw2s/P4Rw8OSF1PPD2C/xb92UVTsPsmTrbnUdb3cXJn/ZjR++HcTYPh15GBRCp5HTiImNz9X+iJwRGpr6erex0bzglo2tDaEh2U925la7Io+oVFSbMoonpy8QHph+an6aZ3/f5bcB33CoQz+O9f4alZ4ezfZvxMTRQV3n4ZHfOO4/nH3Nv+D8+BkUrlGZRlt+QKWXv78YC4iOSF2P1szKRqPczNJave1VBQqa4OxRlsM/rSEyLISU5GQuHjvI/b+uExWe8T6JCc/Zv+4Hytf8AGMTGaDxLlHp6Wl1y8+ytarasmXL6NGjB5D6i6S5eeqvDsnJyXz11VfMmjXrjW1ER0ejKAqKohATE6OxTkFycjLHjx/HxsbmNS2I10lRFGwtLZjQryv6+nqUdSvB09Bwlm/fT792n6arP2HJOm7df8j6aTJ67/9B0M07TK7QmIKW5vh+3pguq2cyq06bTL8EC/GyFEXBxtKc8X06pJ4fXJ0JCn3Gip2H6Ne6Sbr62w+fpJZPGQrZWOV9sCJb5Bwhsiv1/GDB+L6d1Z8fgsIiWLHjAP3afgJA7Ype6voeJYrh7e5Cg57D2X/iHJ99WEtXoYtM7N+7h6mTX1xUYfa8+TqMRuRX1aePxbp0KXY3bv/aek/PXeLpuUvq+0FnL/L56T14dm3DH1PmAXBn+1719vDAvwi7dpPWF3+hcM0qPD5+OlfiF9lz8fghdiydqb7fddR32WqnzcBR/LTwe6b0/Bw9PT0cXdwpX7M+D2//la5uclISG2aOR1EUmvcanO3YRf6kZ/SeLdyfZvny5VhaWtKqVSt1WXJyMoMHD+bWrcx/eXhZpUqVUKlUqFQqGjVqlG67SqViwIAB2QnvnWNlYY6+nh6h4ZqjQkIjIrGztsxwH3trSwwM9NF/aSijS9EihIQ/IyExCaOXrjoxcck6jp27zNqpIyhsJ4nJ/wfJiYkE3/4HgPt/XKV4ZW/qfdmNDX1Gpasb+SQYCwfNq8aYO9gT+SREvR3AwsFe/f+0Og8uZTysWuQfVuZm6OvppRs1FvosKt3okTT21hYY6L96fihMSERkuvPDw6ehnLpyg7lf9cqdDohcIecIAWBlkcn54U2fH9KdHzL+/JDGwsyEEo4O/PP4ac52QOSIWnXqUrbci8RmQmLqAuphYaHY2b8YDRoWGoa7h3u2j2Nra5cr7Yrc5zdtDMUa1WVPk47EPsra+lBKUhKhVwKxKJn5FUyj/nlAXEgYFiWLS5IsnylTuQbFSpVW309OTARSR5RZWL8YFRr9LJwiJdJPq01jW9iJ3hPnkhAfR3xcLBbWtmyYOR4bB0eNeslJSayf+S3hwUH0HD9LRpGJfClb49yWLl3K999/z/79+wFISkriyy+/5O+//2bNmjVatbFmzRpWrVqFoijMmzeP1atXq28bNmzg6NGj+Pv7Zye8d46RoQFl3Ypz+s9AdVlKSgqnLwdSwcM1w318y5Ti/uOnpLx0dbp7j4Kwt7FUf8BVFIWJS9bxy6k/WDn5a4rKtJn/Wyo9PQwLGGW47c6pi3h+UF2jrPSHNbnz3/pEIXf/5dnjpxp1jM3NKFm1grqOyL+MDA0o4+rM6Ss31WUpKSmc/vMmFdxLZriPj6cr958Ea5wf/nkUhL21ZbovwDuOnsLGwpw6FcvlTgdEnpBzxPsp9fyQweeHP29QwcMlw318Srtx/8lTrc4PaWLi4rn/5Cn2mSTehG6ZmppSzNlZfXNxccXWzo5zZ8+q60RHR3Pt6hW8vMtn+ziOTk650q7IXX7TxlC8SQP2fdqV6PsPs7y/Sk8P69LuxL0yJf9lJo4OGNtYERckifT8pkBBE+yKFFXfChUrgbmVDX9fefH+Hh8bw7+3rlPco8xrWkplZFwQC2tbYqOj+OvSWcpUrqHelpYgC338gB7jZmJqLu8Z76L3drqlt7c38+bNo1+/fhgaGvLTTz9x//591qxZg52d3ZsbAKpUqQLA4cOHcXR0lMWg36BL80aMnL2Mcm4l8HIvyZqdh4iLf06LBjUBGD7rRxxsrRnS5XMA2n5cj/W7DzPlx410aPoB/zwK4oete+jY9AN1mxMWr2PP8dMs+GYgpgWNCf5vfRJzk4IYZ/JlSuhe8ylfc3Xfr4Tff0QBc1OqtP8U97rVmN+oMwBdV88k4mEQAaO+B+DI3BUMPbaZBkN6cGXPUSq3bUbxSl6s7/Viau3hOSv4ePQAnt66R8jdf/lk4lAiHgVxKeCgTvoosqZrs/qMnL+Gcq7F8SpVnDW7jxL3/Dkt6vsBMGLeKgrZWDGkY3MA2jaqxYZ9x5iyYisdG9fln8dP+WH7ATo0rqvRbkpKCjuOnKZ53WoY6Ovnca9Edsk5Qrys66cfMnLuCsq5FcerVEnW7Prlv88PqV9cRsxeTiFbK4Z0/gyAth/VZcOeI0xZtomOTeqnnh+27qHDS58fvl+5hXqVy+Nob8vTsAgWbNyJvp4eTWpXzTAGkb+oVCratu/AimU/UszZGUdHJ5YsXoidvT116tZT1+vbuxd169Wnddu2AMTGxvLg3/vq7Y8ePuSvmzewsLCkcJEiWrcr8o/q08fi8nlTfunQj8ToGAoWSv0elxAZRXJ86prRtRd9R+zjp5yfmLqcToWv+hJ8/jKRd/7ByNICrwHdMSvmyM21WwEwMDXB5+t+3Nt1kLigEMxLFqPKt18Reec+D45kfHVEkX+oVCpqNP2cIz+txa5IUWwKFeHgxuVYWNtRpkpNdb0fvx1C2So1qd64JQB/XTyLgoK9ozOhTx6yd81i7J2cqVT/YyA1QbZuxjge3fmLLqOmoqQkExWeulZhQTMLDAwN876zIlfoG/3/P5bZnjDq5+fH999/z8CBA3FxcWHt2rXZWkPs9u3bPH78mEqVKgGwfv16tmzZgpubG2PHjsXSUjLMAI1rVSH8WRTz1gcQEv6M0i7F+GH8YPV0icfBYeipXmRki9jb8OOEIXy3bBPNB4zFwdaaTs0a0OOzxuo6m/alXo67y6hpGsea8mU3dfJN5D/mhWz5Ys0sLIrYE/csiod/3mB+o84E/pL6wcPG2Qkl5cUFNO6c+oPl7b/kk0lD+XTKVzy9dY8lzXvx6NqLNQIOfr+EAqYF6fDDVEysLPj793PM/6gLSRlcVEPkPx/XqETYs2jmb9pNSEQkniWLsnR0f/V0y8ch4ZrnBzsbfhzTn+9W/kTzIZNxsLGiY5N69GjeUKPdU3/e4HFIGC0/8MvT/oi3I+cI8bKPa1UhLDKa+Rt2EhIeiWfJYiwdNwg7q/8+P4SEoqf34ofKIvY2/PjtYL5bvpnmX36Lg601HZs1oEfLj9V1gkLCGTbjByKiYrCxNMe3tBsbvx+FjaV5nvdPZE/nLl2Jj4tjyqSJREdFUb6CD3MXLNJYI/jhg3+JiAhX3w+8fg3/Xj3V9+fMSl3HqEmzZowbP1HrdkX+Ubp76vpjTXav1Sg/3m8ktzbuAMCsqKPGe0YBKwtqzplAwUL2PI94Rujla+z+qB0RN28DoCQnY1PWg1Jtm2NkaU7sk2AeHj3BhSlzSUlIzKOeibdRp3k7EuLj2b5kBvEx0ZTw9OKLMd9jaPTidRz65CExUS8uABMfG8P+9T/yLDQYEzNzylWrTaP2PdA3SE03PAsLJvBc6lWy5w3toXG8nuNn41rOJw96JoR2VIqWl6Ps379/huWXLl2iePHiWFtbq8sWLFigdQDNmjVj2LBh1KlTh5s3b/LZZ5/RrVs3zpw5g4uLC1OnTtW6rTQpf514cyXxXunr0UHXIYh8ZOGV5boOQeQj/by66zoEkY8sDFz75krivRFdrJKuQxD5yE/F5Iu8eMHm+FFdhyDykRbliug6hHwhcuVYrepZfDEhlyPJPq1HkqVdwfJVtWq93VWMHjx4gKtr6rpaBw8epH79+gwZMoRr167Rq5csFC2EEEIIIYQQQgghcp/WSbLsjOi6cOECXl5eGBllvr6VoaEh8fHxAJw8eZLmzZsDYGlpSXR0dJaPKYQQQgghhBBCCCHylko/fy/Kr41c7UHPnj0JCnr9ZYR9fX2ZOnUqCxcu5MqVK9StWxeAe/fuUbhw4dwMTwghhBBCCCGEEELkAD1DA61u+VmuJsm0We5s7NixGBgYcODAAcaNG4eDgwMAx48ff+upnEIIIYQQQgghhBBCaEPnKTxHR0eWLl2arnzUqFE6iEYIIYQQQgghhBBCZJVKT1/XIbw1nSfJHj169Nrtjo6OeRSJEEIIIYQQQgghhMgWA0NdR/DWdJ4kq1+/PiqVKtPtgYGBeRiNEEIIIYQQQgghhMgPzp07x/Lly7l69SrBwcEsXLiQBg0a5NrxcjVJ9rrkV5qAgACN+4mJiQQGBrJy5UoGDx6cS5EJIYQQQgghhBBCiJyiMjTK8TZjY2Px8PDgs88+o3///jne/quynCRTFIXHjx9ja2tLgQIF3lj3TTw9PdOVeXl5UahQIZYvX07Dhg2zGqIQQgghhBBCCCGE+D9Xp04d6tSpk2fHy/LVLRVFoWHDhjx+/PiNdS9evEixYsWyFVjJkiW5cuVKtvYVQgghhBBCCCGEEHlIT1+7Wz6W5ZFkenp6FC9enIiIiBwJIDo6WuO+oig8ffqUBQsWULx48Rw5hhBCCCGEEEIIIYTIPSotF+5PSEggISFBo8zIyAgjo5yfrplV2VqTbOjQoXz//fd8++23uLu7v1UAlSpVSrd2maIoFClShFmzZr1V20IIIYQQQgghhBAi/1i6dCkLFizQKOvfvz8DBgzQUUQvZCtJNnz4cOLi4vj0008xNDTE2NhYY/vZs2ff2EZiYiKzZ8/G3t4eMzMz6tevT506ddDT08Pa2hpTU1Pq1asnV7cUQgghhBBCCCGEyOe0HUnWu3dXvvjiC42y/DCKDLKZJBs1atRbH3jJkiXs3LmTbt26ERkZyfr164mKimLChAkAhISEaLXwvxBCCCGEEEIIIYTQMS3XG8svUyszkq0kWYsWLd7qoIcPH2bz5s20atWKEiVKAFC4cGEWLlzIP//8Q6dOnYiKinqrYwghhBBCCCGEEEKI/18xMTHcv39fff/BgwcEBgZiaWmJo6Njjh8vW0kygPv377Nt2zb+/fdfvvnmG2xtbTl27BiOjo6UKlXqtfv269cPRVFYvHixxnpkiqIQHBzM6dOnsxuWEEIIIYQQQgghhMhjKsOcHx129epVOnfurL4/depUIHXw1nfffZfjx8tWkuzs2bP07NkTX19fzp07x+DBg7G1teXmzZts27aNefPmvXb/Gzdu8MEHHzBp0iT8/Pw0tgUFBdG5c2ecnJw4depUdsITQgghhBBCCCGEEP/nqlatys2bN/PseHrZ2WnmzJkMGjSIlStXYmj4YmG2atWqcenSJa3aqFatGrt27UpX7uDgwJo1a3jw4EF2QhNCCCGEEEIIIYQQec3AULtbPpatkWR//fUXM2bMSFduY2NDeHi4Vm1Uq1aNmTNnEh0djZmZmcY2ExMTVCoVPXr0yE54nDDwzNZ+4t01OvSqrkMQ+ci5qARdhyDykdlxN3QdgshH+hWUzxDiBddff9F1CCIf6ffwkq5DEPnIo+hEXYcgRL6j0nLh/vwsWyPJzM3NCQ4OTlceGBiIg4ODVm3s2bOHrl27pkuQpbXfoUMH7ty5k53whBBCCCGEEEIIIYTIkmwlyZo0acKMGTMIDg5GpVKRkpLChQsXmDZtGs2bN9eqjZs3b1KrVq1Mt9eoUYNr165lJzwhhBBCCCGEEEIIkYdUBoZa3fKzbCXJBg8ejIuLC3Xr1iU2NpYmTZrQsWNHfHx88Pf316qNkJAQDAwyn+1pYGBAWFhYdsITQgghhBBCCCGEEHlJT1+7Wz6WrTXJjIyMmDRpEv369eOvv/4iJiaGMmXKUKJECa3bcHBw4NatWxQvXjzD7Tdv3sTe3j474QkhhBBCCCGEEEKIvKSXrXFY+Uq2erBgwQLi4uIoUqQIderUoXHjxpQoUYL4+HgWLFigVRt16tRhzpw5nDhxgsjISI1t8fHxzJ8/n3r16mUnPCGEEEIIIYQQQgiRh1T6+lrd8rNsJckWLlxIbGxsuvK4uDgWLlyoVRv+/v48e/aMbt26sXTpUn755Rd++eUXfvjhBz766CMiIiLo06dPdsITQgghhBBCCCGEECJLsjXdUlEUVCpVuvIbN25gaWmpVRt2dnZs2rSJTz75hOXLl6vLVSoVNWvWZOzYsdjZ2WUnPCGEEEIIIYQQQgiRlwyMdB3BW8tSkqxy5cqoVCpUKhWNGjXSSJQlJycTGxtL27ZttW7PycmJ2bNnM336dFq2bImLiwtubm7qRFt0dDRmZmZZCVEIIYQQQgghhBBC5DHVO7AmWZaSZKNGjUJRFEaNGsWAAQMwNzdXbzM0NMTJyQkfH58sBdCrVy8Apk2bppF0SxutFhgYmKX2hBBCCCGEEEIIIUQey+dXrtRGlpJkLVq0AKBo0aL4+vpiYJCt2Zoa1qxZ89ZtCCGEEEIIIYQQQggdUr1nI8nSmJqacvv2bTw8PAD45Zdf2L59O25ubvTv3x8jI+3noVapUiU7IQghhBBCCCGEEEKI/OIdSJJlqwdjx47l3r17APz7778MHjyYggULsn//fqZPn57l9s6fP8+wYcNo27YtQUFBAAQEBHD+/PnshCeEEEIIIYQQQggh8pCi0tPqlp9lK7p79+5RunRpAPbt20eVKlWYOXMmU6dO5eDBg1lq68CBA3Tv3h1jY2OuXbtGQkICkLpo/9KlS7MTnhBCCCGEEEIIIYTISyo97W75WLaiUxSFlJQUAE6dOkXt2rUBKFKkCOHh4Vlqa/HixYwfP55JkyZprHHm6+vL9evXsxOeEEIIIYQQQgghhMhLKpV2t3wsW0mycuXKsXjxYgICAjh37hx169YF4MGDB9jZ2WWprbt371KpUqV05ebm5kRGRmYnPCGEEEIIIYQQQgiRl/T0tLvlY9mKbtSoUVy/fp2JEyfSp08fihcvDqROnfTx8clSW3Z2dty/fz9d+YULFyhWrFh2whNCCCGEEEIIIYQQeehdWJMsW1e39PT0ZNeuXenKv/76a/SymBVs3bo1kydPZsqUKahUKoKCgrh48SLTpk2jb9++2QnvnaUoCjvXLuO3/T8TGxOFWxlvOvb/CgenzJOJw7u0JPTpk3Tl9Zq2pEO/YQCsmTeNwIvniAgLoYCxCW5lyvFZt74UKVYit7oicoCiKKz6cQl7f95BdFQ05bzL8+XXIylazDnTfX7evpWft/9E0OPHABR3caFTt55U9asBQOSzZ6xetpTzZ0/z9MkTrKytqFG7Ll17+WNmZp4n/RLZpygKO9b8yK/7fiY2OopSZb3pMvBrCr/mHAEQFvKULcsW8ee5UyQ8j8fBsSg9ho2mpHvq2pNdGvpluF+bHv1o3LpjjvdDvL1NmzaxevVqQkNCcHd3Z/iIEXh5eWVa/+DBgyxauJBHjx7h7OzMl4MGUatWLfV2RVFYvGgR27dvJyoqigoVKjDqm2/UP5KJ/Kt2n47U9u+AbYmiADy+dos9E+Zxbf+vme7j+3ljPpk4FNsSRXl66y47hn/H1X2a9ZuNH0zNnu0oaGXB7RPn2eg/mqd/38u9jogcdfePE9w4to+Q+3/zPCaKFmPmYVvM9bX73PhtP7dOHSH80T0A7JzdqNSiC4VKeqjrHFs5i1unDmvsV7SsLx99OTHH+yByjqIoLF68iB3/nePLV6jAqFFvPsdvTnuvCf3vvWb4CMpl8F6jKAr9+/fj5IkTzJo1m3r16+dWV0QOUBSFdcuXcmDXDmKiointVZ5+w0bg9JrvGC/bsnYVq5cu4NNW7ej15VB1+fzvJ3Pp/FnCQkIwNilI6XLefOE/kGLFS+RST4RO5PMEmDaylSTLTIECBbK8T69evUhJSaFr167ExcXRsWNHjIyM6NatG506dcrJ8P7v7d+6jsM/b6Xb0NHYFXZk55ofmD16MBOXrsfQKOO//ei5y9XrxwE8/OcOs0Z9ScVaL96cirt5UK1eQ2wKFSYmKpKf1y1n9jeD+W7lT+jp6+d6v0T2bFq3mh1bNzF8zHgKOzqx6ofFjBjUnxUbtmKUyWvRzt6Bnn0H4FTMGUVROLh3N2O/HsLS1Rso4eJKaEgwoSHB9O4/iBIlSxL05DGzv59KSEgI3075Po97KLJq75Z1HArYSs+vxmBX2JHtq39gxshBTFm2AaNMzhExUZFMHtwbz/IVGTp5FhaW1jx5+C8mLyVF527arbHPn+dOsWLWFCrVqper/RHZc2D/fmbOmME3o0fj5eXF+vXr6evvz86dO7GxtU1X/9KlS4wcMYIBAwdSu3Zt9u3dy+BBg9i0aRNupUoBsGrlSjZs3MjEiRNxcnJi0cKF9PX3Z/uOHdl67xd5J/zBYwJGTOPprXugUuHX5TP8d/7AZJ8mPL5+K119Fz9fum+cR8DI77my+zCV239Kn4AfmOLblEfX/gKg4dd9qDfwC1Z3GUrI3X/5ZOJQBhxYw/gyH5L0/Hke91BkR9Lz5ziUKkPJSrX4fe08rfZ5fPMKrlVq4+DaG30DIy4f+In9c8bw2beLMLV+sdxK0bIVqd11kPq+voFhTocvctiqVSvZuGEjE9LO8YsW0q+vP9u2Z36OP3BgPzNnzuCbb0ZTzsuLDevX07evPwE7d2Jjo/les37dOlTk7zWIxAs/rV/Nrp82MfibbylcxIm1yxYzZsgAlqzbkul3jDR/BV5j/8/bKelaKt02N4/S1Gv4MfYOhYmKjGT9iqWMGdyP5Vt/Rl++c7473oEkWbZ64OnpSenSpTO9ZYVKpcLf358zZ86we/dutmzZwqlTpxg0aFB2QntnKYrCLwFbaNq2Kz5+tSlW0o1uw8YSERrCxZPHM93P3MoaSxtb9e3PMyewL+KEh9eLabF1GjfH3csHO4ciFHfzoHmXXoQFBxES9DgvuiayQVEUtm/eQMeu3alRuy6ubqUYPnY8ISHB/H7810z3q16rNlWr16RoMWeKORene59+FCxowvWrVwAo6erGt1OnU71WbRyLFsOnUhW69+7L6d+Pk5yUlEe9E9mhKAoHdmymWfuu+FavjbOLG72+Tj1H/HEi83PEni3rsLF3oOew0bh6lsW+iCNelari4FhUXcfKxlbjdvHkb5Qu70uhIk550TWRRWvXrqVly5Y0b94cV1dXRo8ejbGxMQEBARnW37B+PdWrV6dr1664uLjQr39/SpcuzaZNm4DU59b69evp2bMn9erVw93dnYmTJhEcHMzRI0fysGciO67sPszVfb/y9O97PL11l52jZ/A8OpaS1TJeHqP+l924tv8Yh2b8wJMbt9k1dhb3/7hG3f5d1HU+GNSNfZPmc/nnQzy8coOVnYdg5ehAheYN86pb4i2V8quPb9P2OJWuoPU+9Xp8RZm6TbEt5opVkWLU6jwQRUnh0Y3LGvX0DQwxsbRR3wqYykj0/ExRFDa8eo6f+N85/mjm5/h1/73XfPrfe803mbzX3Lxxg7Vr1/Dt+PG53BORExRFYefWjbTp3B2/WnUp6VaKoaMnEBYazKnffn3tvnGxsUwfP4YBX3+DmXn61/3Hn7akXAVfHIo44ubhSeeefQl+GsTTJ/Kd853yvl7dcsGCBcyfP199mz17Nr169cLe3p4JEyZkqa2RI0cSHR2NkZERbm5ueHt7Y2pqSmxsLCNHjsxOeO+kkCePeBYeSmmfFxc5MDE1w8WjDLdvXNWqjaTERE4fPUDNhk1RZXJFiefxcZw4uAe7wo7Y2DvkSOwi5z1+9JCw0FB8K1dVl5mZmVO6TDmuX/1TqzaSk5M5cugA8fFxlPHyzrRedEw0Jqam6Bvk6MBTkcOCnzziWVgoZX0rq8tMTM1w8SzD34GZnyMunvqNEqU8WTBxFP1bNWaMf2d+3bsz0/rPwsO4fPYEtT9qlqPxi5yRmJhIYGAgVatVU5fp6elRtVo1/vwz43PDn3/+qVEfwK96dXX9hw8fEhISQtWqL8435ubmeHl5cTmTNkX+pNLTo1KbZhiZFuTuqT8yrOPi58ONX05olF0/cBwXP18A7EoWw7JIIQJfqhMfGcXdM5fUdcT7ISnhOSnJyemSYI//usK6oe3ZOqYXv69fSHy0XIgrP8vsHF/Oy4s/L2d8jle/11R95b2mquZ7TVxcHCNHjWTEyFFZvrib0I0njx4SHhpKhcpV1GWmZmZ4lCnHjf9+VM/M4lnTqFy9Bj4vfT/JTHxcHIf2/oxDESfsCsl3znfJe7smWYMGDdKVffTRR7i5ubF3715atWqldVsBAQEMGzYMMzMzjfL4+Hh27tzJ1KlTsxPiO+dZeBgAFtY2GuUW1jbqbW9y8dRxYqOjqfFh43Tbju7exk/LF/E8Po7CRZ0ZMnkOBoYyPD6/Cg8NBcDaRvP5YG1jo96WmTt/32JAry9ISEigYMGCjP9uBiVKumRY91lEOOtWLqPJpy1zJnCRa56FpT7ullYZnSMyf04EP37E0d07aPRZW5q168Kdm4GsWzQLAwMDajZskq7+74f2YmxiQsWadXM0fpEzwsPDSU5OxvaVaZW2trbcu3s3w31CQkIyrB8SEqLenlb2MhtbW0L/2ybyN8dyHnx9ajuGxgV4Hh3L0ha9eRz4d4Z1LQrbExmk+bhGBQVjUdhOvR0gMig4gzr2uRC9yK/ObVuJiaUNji+NRitatiIlfKpjbleYyODHnA9YzYF542g2YgZ6ejKdKj9KO8e/Oh3f1saW0NCMz/Fp7zXp9rG15d69F+81M2dMp3z58tSrJ8sz/L8I/+/zpLW15mNrZW2j3paRY78c4O+/bjDnxzWvbX/39q2sXDyP+Lg4ijoXZ/KchRjKd853Sz5PgGkjR4eGVKhQgbFjx2pVNzo6GkVRUBSFmJgYjfnuycnJHD9+HJtXEgDvk9NHDrB2/os1oAaOn/HWbf5+YBflKlXDyjb9h9iq9RpRxqcKz8JCOLBtI0umjmHkzCWZrnUm8tYvB/Yye9oU9f0pM+Zmu61ixUvww+qNxMREc/zIL0ybOI5Zi35MlyiLiYlm1NAvKV7ChS49emX7eCJ3nDx8gFVzp6nvD5mUvXNEipJCSXdPWnXzB1LXKHx47w5H9gRkmCT7bf8u/Oo3ynSNMyFE/hN08w6TKzSmoKU5vp83psvqmcyq0ybTRJl4t/x95ii/r1ugvv/RwPEULlXurdq8vG8Ld84dp/Gw7zAwNFKXu1apo/6/TdES2BQtwZZvevD45pUsTe0UuWfvnj1MmvTiQgrz5i94Te3s+/XXXzl79hybNm/OlfZFzjh6cB8Lpr/4jvHt93Oy3EZw0BN+mDuTSbMXvnHNsnoNP8anclXCQ0PYtnEtU8eMYMbi5W/cT/wfyWTG2v+THEuSxcfHs2bNGgoVKqRV/UqVKqFSqVCpVDRq1CjddpVKxYABA3IqvP87FarVpKRnWfX9pMQEACLDw7CyeTFcOTI8jGIZLIz4qtCgx1y/dJ6+o6dkuN3E1AwTUzMcnIrh4lmOga0a8cfJY1StK+uL5AfVa9ahdJkXVwtK/O/5EB4Whq3di6RneFgYru7ur23L0NAQp2KpVzt09yzNzcDrbN+8kSEjvlHXiY2JYcSgAZiYmDLhuxkYyKK7+Y6PX01cPcuo7ycmJgLwLCIMK1vNc4Sza+bPCSsbOxydS2qUFXEuwbnfj6are/PKJR4/uE/fbya9bfgil1hbW6Ovr0/oKyNKQ0NDM53qYmdn99r6af+GhoZib//ifBMWGoq7hwci/0tOTCT49j8A3P/jKsUre1Pvy25s6DMqXd3IJ8FYOGg+V8wd7Il8EqLeDmDhYK/+f1qdB5eu51YXxFtwLl+VFi9dgdLUKv0FPLLiz4PbuLz/Jz4ePBnboiVfW9fCvgjGZhZEPn0sSbJ8ok7duhpXoExMSP1MGfbKOT40LBQP94zP8WnvNWEZvHfY/veece7sWR48+JfatWpq1Bk2bCg+Pr4sW748R/oj3k7VmrXxKPMiaZ72fAgPD8Xmpc8NEeFhuLhl/Hny75s3iAgPY2D3F1c8T0lO5urli+zavoWAIyfVC/ObmplhamaGUzFnPMp60ebjepw8fpS6H36UG90TuvC+jiSrXLmyxppWaaPBjI2NmT59ulZtrFmzBkVR6NKlC/Pnz8fS0lK9zdDQEEdHRxwc3t/5ycYmphibmKrvK4qCpbUtgZfOq7/wxsXEcOfmdeo2afHG9n4/tAcLS2u8q1R/Y11FUQCFpP++dAvdMzE1xcRU8/lgY2vLH+fP4vbfB5iYmGgCr1+lWcvPs9R2ipKiTrqltTN8UH+MDI2YOH2W/LKTTxU0MaXgq+cIG1uuXzxP8ZfPETeuU79p5tNlS5X14smD+xplTx7cx86hcLq6x/fvokQpT5y1SMwL3TA0NKR06dKcPXOG+vVTr2KckpLC2TNnaNu2bYb7eHt7c/bMGTp2fPHh9vTp03h7p65V6OTkhJ2dHWfPnMHT0xNIHQ1+5cqVLC2vIPIPlZ4ehgWMMtx259RFPD+ozpG5K9RlpT+syZ3/1jALufsvzx4/xfOD6jy4nJoUMzY3o2TVChxfvC73gxdZZmRsgpGxSY60dXn/T1zau5mPB03EvsSb3wtiwkOIj4nCxNI6R44v3p6pqSmmr3ymtLOz48zZM3i8dI6/+ppzfNp7zZmzZ6j38nvN2TO0+e+95otu3WjRUvM7SqvPP2fosGHUqVMnXZtCN0xMTDF55fOkta0tl8+fw7VU6neM2Jhobl6/SuPmn2XYRvlKlVm4ZpNG2ZwpEyhavDifd+iS+ZUrFQUURf1Dr3g35Pf1xrSRrSTZyJEjNZJkKpUKGxsbypcvr5Hsep0qVVIXAzx8+DCOjo6ZLiQvUqlUKho0b82eTatxcCqGnYMjAWt/wMrWDp/qtdX1ZowYgG/1OtT/5EWiJCUlhROH9uDX4GP09TUf8uDHDzl3/DBlfKtgbmlFeEgw+7asxdCoAF6V/fKsfyJrVCoVLdu0Z/2q5RQt5kzhIo6s/HExdnb21KxdV11vWP8+1KxTj+at2gCwbNF8qvjVoFDhwsTGxHDk4H4u/3GB7+akDrWPiYlm+Jf9iI+PZ9S4icTGxBAbEwOApZW1XJ45H1OpVDRq0YafN6zCwakY9oWLsH3Vj1jZ2uFb48U5YtrX/fGtUYcPP0394NuoZVsmDerFro2rqFL7A+7cvM6ve3fyxaARGu3HxcRw9vgR2vV+f0f4/r/o1KkTY8aMoUzZspQrV47169YRFxfHp82bAzD6m28oVKgQA7/8EoD2HTrQo3t31qxeTa3atdm/fz/Xr11j7JgxQOpzq0OHDvz44484Fy+Ok5MTCxcuxN7eXv3lSORfzad8zdV9vxJ+/xEFzE2p0v5T3OtWY36jzgB0XT2TiIdBBIxKXeLhyNwVDD22mQZDenBlz1Eqt21G8UperO/14mJKh+es4OPRA3h66x4hd//lk4lDiXgUxKWAgzrpo8i6+JgoYsKeEhuRuq5txJOHABS0sMbEMnW5k19XzMTUypbKLbsCcHn/Vi78vI563b/GzLYQsc9S9zUsUBBD44Ikxsfxx+4NlPStQUELayKDH3N22wos7ItQtGzFvO+k0IpKpaJ9hw4s+/FHnJ1Tz/GL0s7x9V6c43v36km9+vVp27YdAB07dWLsmDGUKZP6XrNh/X/vNZ82B1JHIWc0grlI4SI4ORVNVy7yB5VKxaet2rFp9XIcixWjcBEn1i5bjI2tPX616qrrjfrSH7/adWn2WRtMTEwp4eKm0Y6xsTEWFlbq8scPH/DbkUP4VK6GpZU1IcFBbF23CqMCxlT2q5GXXRS5Te89TZK1bJlzi3jfvn2bx48fU6lS6lUb169fz5YtW3Bzc2Ps2LFaJ93eBx+16sjz+HjWzJtGbHQ0pcp6M2jiLI11w4IfPyQqMkJjv8CL5wh7GkTNhk3TtWloZMRfVy9zKGAzsdFRWFjZ4F6uAiNnLcXC6v1dE+7/QduOXYiPi2PWd5OJjo7Cy7sCU2fP1xj59ejhA549i1DfDw8P57sJYwkLDcHUzAwX11J8N2cBlaqkXp3o1s0bBF5LvRJip1bNNY63fvsuChdxzPV+iexr3Lojz+PjWDXnu9RzRDlvhk2ZrbF+2NPHD4l+9kx938WjDAPHfcfWFYvZuW4ldoWL0MF/ENU/0JwGf/rXQ4BCtXoyBTu/a/TRR4SHh7N40SJCQkLw8PBg0aJF6oX3Hz95guqlDzAVKlRgytSpLPzvytXOzs7MnjMHt1IvRol0/eIL4uLimDhhAlFRUfj4+LBo0SKN9URF/mReyJYv1szCoog9cc+iePjnDeY36kzgL78DYOPshJKiqOvfOfUHy9t/ySeThvLplK94euseS5r34tG1v9R1Dn6/hAKmBenww1RMrCz4+/dzzP+oC0nPn+d5/0T23L98muOr5qjvH/0xdY1Ln6btqfhJBwCiw4I1fsQOPLaXlKQkDi/VXLojbR+Vnh5hD+5x69RhEmJjMLGywamMDxU/7YS+LMydr3XtmnqOnzQx9RxfwceHha+c4//99wER4RHq+40a/fdes3gRof+91yx86b1G/P/6vEMX4uPjmf/9FGKioyjjVYGJM+dpfMd4/PABkRERWrdpVKAA1y5fZOeWjURHRWJlY0u58j7MWLIcK2v5zvlOeQdGkqmU1Ll1b3Tjxg2tG02bjqGNZs2aMey/Ybc3b97ks88+o1u3bpw5cwYXF5dsXd3ytzuvv7qfeP+UtJIvcuKFB1EJb64k3hvlHXJmGpJ4NwwuqP1nGPHuc/31F12HIPKRflVkBJR44VG0TBMUL7jZm+s6hHwhIeKpVvWMrLRby14XtB5J1rx5c1QqFW/KqalUKgIDA7UO4MGDB7i6ugJw8OBB6tevz5AhQ7h27Rq9eskV9YQQQgghhBBCCCHyvXdgJJnWSbLDhw/nSgCGhobEx8cDcPLkSZr/t2aKpaUl0dHRuXJMIYQQQgghhBBCCJFz3oWF+7XugZOTk/q2e/duTp06pVHm5OTEqVOn2LNnT5YC8PX1ZerUqSxcuJArV65Qt25dAO7du0fhwumvriaEEEIIIYQQQggh8hmVnna3LFq/fj3169fHy8uLVq1a8eeff+ZC8KmylebbvHkzLi4u6cpLlSrFpk2bMtgjc2PHjsXAwIADBw4wbtw4HBwcADh+/Di1atXKTnhCCCGEEEIIIYQQIi+pVNrdsmDv3r1MnTqVfv36sWPHDjw9PenevTuhobmzFn22rm4ZHByMvb19unIbGxuCg4Oz1JajoyNLly5NVz5q1KjshCaEEEIIIYQQQggh8louTLdcuXIlrVu35rPPPgNg/Pjx/Prrr2zbti1X1rHPVpKsSJEi/PHHHxQrVkyj/MKFCxQqlLWrFDx69Oi12x0dHbMcnxBCCCGEEEIIIYTIOzm9JllCQgLXrl2jd+/e6jI9PT2qV6/OxYsXc/RYabKVJGvVqhVTpkwhKSmJatWqAXDq1CmmT59Ot27dstRW/fr1Ub1muF1WrpQphBBCCCGEEEIIIXRAyyRZQkICCQkJGmVGRkYYGRlplIWHh5OcnIytra1Gua2tLXfu3Hm7WDORrSRZjx49iIiIYPz48SQmJgJQoEABevTooZHh00ZAQIDG/cTERAIDA1m5ciWDBw/OTnhCCCGEEEIIIYQQIg8pWq43tnTpUhYsWKBR1r9/fwYMGJAbYWVJtpJkKpWKr776ir59+3L79m2MjY0pUaJEuqyfNjw9PdOVeXl5UahQIZYvX07Dhg2zE6IQQgghhBBCCCGEyCOKol293r1788UXX2iUZZRPsra2Rl9fP90i/aGhodjZ2WU7ztd5qwmjpqameHt74+7unq0E2euULFmSK1eu5GibQgghhBBCCCGEECLnpSiKVjcjIyPMzMw0bhnllIyMjChbtiynTp16cYyUFE6dOoWPj0+u9CFbI8lyUnR0tMZ9RVF4+vQpCxYsoHjx4jqKSgghhBBCCCGEEEJoS8uBZFnyxRdfMHz4cMqVK4e3tzerV68mLi6Oli1b5sLR8kGSrGLFiujpvRjQpigKiqJQpEgRZs+ercPIhBBCCCGEEEIIIYQ2UnIhS9a4cWPCwsKYN28ewcHBlC5dmmXLluXadEudJcmePn3Kl19+iZ6eHqVKlWLw4MEsWbKEy5cvo1KpKFCgAE5OTroKTwghhBBCCCGEEEJoSdF2UbIs6tixIx07dsyVtl/1VmuSvY0ZM2agKAoLFy7E1dWVpUuXYmBgwLFjxzhy5Ag2NjYsWbJEV+EJIYQQQgghhBBCCC2lKNrd8jOdJMkOHz7Mr7/+SoMGDVAUhXr16nHp0iWqV6/O1atXCQwMpFatWhw4cEAX4QkhhBBCCCGEEEKILEhWtLvlZzqZbtmvXz8URWH69OmoVCogdVjevHnzNO4LIYQQQgghhBBCCJEXdDKS7MaNGzg6OrJ161Zu3LjBjRs36NmzJ2fOnFHf37lzJ9bW1roITwghhBBCCCGEEEJkQdqFGN90y890tiaZp6cnFy9eVN8fNmwYVlZW6vsXLlzAw8NDB5EJIYQQQgghhBBCiKxI0fKWn+ns6padO3dm4sSJfPbZZ5iZmWlsi4qKYsWKFfTr1y9bbZsX0M+JEMU75Oi9CF2HIPKRUrYmug5BCJFP9bx/SdchiHyknJWuIxD5ybTf/9F1CCIf6XRgkq5DEPnJjLW6jiBfyOeDxLSis5Fkq1evpnXr1ukSZADm5uZ06dKFw4cP6yAyIYQQQgghhBBCCJEVySmKVrf8TGdJsps3b1KrVq1Mt9eoUYNr167lYURCCCGEEEIIIYQQ4n2ls+mWISEhGBhkfngDAwPCwsLyMCIhhBBCCCGEEEIIkR35fb0xbehsJJmDgwO3bt3KdPvNmzext7fPw4iEEEIIIYQQQgghRHa8C9MtdTaSrE6dOsyZM4eCBQvi5eWFhYWFelt8fDzz58+nXr16ugpPCCGEEEIIIYQQQrxHdJYk8/f35+DBg3Tr1o0ePXrg4+MDwJ07d9iwYQPJycn06dNHV+EJIYQQQgghhBBCCC0l5+9BYlrRWZLMzs6OTZs28cknn7B8+XJ1uUqlombNmowdOxY7OztdhSeEEEIIIYQQQggh3iM6S5IBODk5MXv2bKZPn07Lli1xcXHBzc0NS0tLAKKjozEzM9NliEIIIYQQQgghhBDiDRQZSfb2evXqBcC0adNQqVTqckVRUKlUBAYG6io0IYQQQgghhBBCCKGF5HcgS6bzJNmaNWt0HYIQQgghhBBCCCGEeM/pPElWpUoVXYcghBBCCCGEEEIIId5Cyv//QDL0dB0AwPnz5xk2bBht27YlKCgIgICAAM6fP6/jyIQQQgghhBBCCCHEmyQrila3/EznSbIDBw7QvXt3jI2NuXbtGgkJCUDqov1Lly7VcXRCCCGEEEIIIYQQ4n2g8yTZ4sWLGT9+PJMmTcLA4MXsT19fX65fv67DyIQQQgghhBBCCCGENpJTFK1u+ZnOk2R3796lUqVK6crNzc2JjIzUQURCCCGEEEIIIYQQ4n2j8ySZnZ0d9+/fT1d+4cIFihUrpoOIhBBCCCGEEEIIIURWJKdod8vPdH51y9atWzN58mSmTJmCSqUiKCiIixcvMm3aNPr27avr8PIVRVHYuuoHDu/ZSUx0NB7lvOkx6GuKFHV+7X5hwU9Z/+NCLp09yfP45xR2Kor/12Nw9ShNUlISm1cs4eKZkzx9/BATUzPK+Vamfc9+2NjZ51HPRHbcOPsbF37ZxZO7fxEXHUWPqUspXMLtjftdP32MY1tXEhH8BJvCRfmgXU/cfKqqtx/7aTXXTx0lMjQYfQMDCpd0p16bbji5lc7N7ogcoCgKO9b8yK/7fiY2OopSZb3pMvBrCju9/geHsJCnbFm2iD/PnSLheTwOjkXpMWw0Jd1TH/MuDf0y3K9Nj340bt0xx/sh3t6mTZtYvXo1oSEhuLu7M3zECLy8vDKtf/DgQRYtXMijR49wdnbmy0GDqFWrlnq7oigsXrSI7du3ExUVRYUKFRj1zTcUL148L7ojcoCiKPy0+geO7k39DOFe1ptuX2rxGSLkKRt/XMjlsyd5/vw5hR2L0vurMbh4pJ4flnw/geMH92js412pGiO+m5trfRFvb9OWraxau56Q0FDcS5Vi5FdD8SpXNsO6f9++w8IlSwm8cZNHjx/z1ZBBdGrf7q3aFPnL/UsnufX7fsLu3yYhNoqPR8zBpqjLG/e5duAnokIek5KchIW9I54fNMelSr23alfojrGLB5Z1m2DkVAIDS2uCVs4h9tqF1++kb4D1h80xq1gDfXNLkiIjiDgUQPS54wAYOjhh3egzjIqWwNDGntCd64j87UAe9EboSmJKPs+AaUHnSbJevXqRkpJC165diYuLo2PHjhgZGdGtWzc6deqk6/DylZ83rWXf9i30HTGWQoUd2bJyKVOGf8nMlZswMiqQ4T7RUZGMHdiLMhV8GTl1DhZW1jx+cB9TM3MAEuLjuXvrJp916kZxl1JER0eyesFspo8extQlq/OyeyKLEp7HU8yjHGWq1WHPj7O02uffv66xY/4k6rftQSnfalw9cYQtM8fSY+oSChUrCYBtkaI06joA60JFSEpI4My+n9gwZTh956zB1MIqF3sk3tbeLes4FLCVnl+Nwa6wI9tX/8CMkYOYsmxDpueImKhIJg/ujWf5igydPAsLS2uePPwXk//OEQBzN+3W2OfPc6dYMWsKlWrVe7U5kQ8c2L+fmTNm8M3o0Xh5ebF+/Xr6+vuzc+dObGxt09W/dOkSI0eMYMDAgdSuXZt9e/cyeNAgNm3ahFupUgCsWrmSDRs3MnHiRJycnFi0cCF9/f3ZvmMHBQpk/NwS+cuuzWs5sGMLfb4eS6EijmxduZTvRnzJ9BWv/wzx7ZepnyG+njrnv/PDfUzNzTXqla/sR++vxqjvGxga5mpfxNvZf/AQ02fPZczI4XiVK8u6jZvoM+BLft62BVsbm3T14+PjKVrUiYYNPmD6rDk50qbIX5ISnlPItQzFfWtyZsMCrfYpYGJOuY9aYeFQFD19Ax5ePcfpdXMxNrPEsYxvttsVuqMyKkDCo/tEnT2GQ9dBWu1TqFN/9M0tCd6yjKSQIPQtrECleqlNIxLDnhLz51lsPumQO4ELkcN0niRTqVT4+/vTvXt37t+/T2xsLK6urpiamuo6tHxFURT2bttEy45fULlGHQD6jfiWXp99zLnfj1GjfsMM9/t541psCxWi7/Cx6rJCRRzV/zcxM2P09Pka+3wxcBjf9P2CkKAn2DkUzoXeiJzgXetDACKCn2i9z7l923EtXxm/Zm0AqNv6C+5eucD5AwE07jEYgHI1PtDY58OO/lw6uo+n9+9QspxvDkUvcpqiKBzYsZlm7bviW702AL2+HsvA1k3448RxqtX7MMP99mxZh429Az2HjVaX2b90jgCwstFMrFw8+Ruly/tSqIhTDvdC5IS1a9fSsmVLmjdvDsDo0aP57fhxAgIC6Na9e7r6G9avp3r16nTt2hWAfv37c/r0aTZt2sToMWNQFIX169fTs2dP6tVLTYxOnDSJD+rX5+iRI3z08cd51TWRTYqisH/7Jpp3+IJK/32G8B/+Lf6tPub8iWNUr5fxZ4hdm9Zia1+IPl9l/BkijYGhYbrzhMi/1qzfyGfNP6X5J80AGDNyBL/9fpKAn3fRvWuXdPXLlS1DubJlAJi7YFGOtCnyl7TRX9GhQVrv4+CuOTrZs94n3DlzhOA719VJsuy0K3Qn7safxN34U+v6BT28MHb15MGUoaTExQCQFB6iUSfh37sk/HsXAOvGrXMuWJFvJSbn70X5taHzNclGjhxJdHQ0RkZGuLm54e3tjampKbGxsYwcOVLX4eUbTx8/IiIsFK+KVdRlJmZmuJUuy63rVzLd7/yp47i4l2bWtyPp2fIjhvfqxOHdAa89VmxMNCqVChMzs5wKX+QTD25dp2S5ihplLt6VeHAr4yvJJicl8seRPRQwMcXB2TUvQhTZFPzkEc/CQinrW1ldZmJqhotnGf4OvJrpfhf/x959h0V1rA8c/+7SEREQxa6xYY+F2Husib333nvFjg1FEOwNRUQUBVHBEnvvNSYqisYWe6GI9Lq/P/xxslhyc3PV1eX9PE+eG3bPOZm9Oztn5j0z75w9SaFiJVg2ezLD2v/EtME9OLZnx0ePj4qM4PcLp6ndpPknLb/4NJKTk7l58yZVqlZVXlOr1VSpWpWrVz/c8b169WqG4wGqVa+uHP/kyRPCwsKoUuWvZdlZs2albNmy/P6Ra4qvS3ofokzFjH2IIv+hD/Hr//chFs2axKB2TZg0sDtHfgl+77ibv//KoHZNGNurPWsXuRIdFfU5Pob4BJKTk7kZGkrVKn/VBbVaTZXKP/D71Y/XhS99TfFt0Wg0PL/1O29ePiFnEVlim1mYl65I0qP7ZKv3M/mnLSbfBDdsmnVGZSiziTOzNI3mH/3zNdP5TLLg4GDGjRuHxTsBmYSEBHbs2IGLi4uOSvZ1eR0RDkA264xT1rNZ2/A6IuKj5718+pSDO7fzc/vOtO7ai7u3brBu2QIMjYyo0/jn945PSkpk0+plVK/fCPMsEiTTNzGvI8iSzTrDa1myWRP7OmMd+uPXs2xf4kxyUiJZrWzoOtkNc8tsX7Ko4r8Uld5GWGVsIyytbYiKDP/oea+ePeXo7iAat+1E8849uXfrJhtXLMDQ0JCajd5vI04d3IOpuTmVatb9pOUXn0ZkZCSpqalkf2dZZfbs2Xlw//4HzwkLC/vg8WFhYcr76a9ps8menfCwjE+MxdcpvQ14rw9hZUPU3/Uhnj3l0K7tNG3XmVad3/Yh1i9/24eo/f/tQ7kfqvJDzbrkyJWHF8+esGXtClwnj2LWEi/UBgaf70OJfyXy9eu3bcQ7SyCz29hw/8GfX801xbchKT6WoCm9SU1JRqVWU7njIHKXrKDrYokvxNAmJybfFUeTkswLn8UYZMlK9jY9UWexICxgja6LJ8S/prMgWUxMDBqNBo1GQ2xsbIacJqmpqZw4cQKbTJzD4OShfaxZME/5e6LLP8s59a40TRpFipekc7+3myB8V8yeR/fvcXDX9veCZCkpKSyaOQWNBvqNcvz3hRef3LVTh9jjtVD5u/NEFwqUKPfZ/nsFS5Wn/7zVxEVHceXIL2xbPJs+s5e9F2ATunPm8H58Frsqf49xdv9X10nTpPFd8RK07zMYgIJF7Xny4B5Hfgn+YJDs5L5dVKvf+KM5jIQQunfq8D7WLvyrD+E459/3IQoXL0mnvm/7EIWK2fP4wT0O7dquBMm0l2oWKFyUAt8VZXSPNtz4/VfKaM1sFUJ8He5fPMaFzX8tm603ZDo5i/672V9GJmb8NGkRyYkJvLj1O5e3e2ORPdd7SzGFflL9f+6xl5tWokmIByBi5yZy9hhO+DYfNCnJuiye0JHktK97ltg/obMgmYODAyqVCpVKRePGjd97X6VSMXz4cB2U7OvgUL0WxUr+dcNKTnrbyERFRmCd3VZ5PSoygkJFi330OtY2tuQt9F2G1/IWKMT5E0czvPY2QDaZVy+e4eSxQmaRfWWKV6qeYXfJrDa2f3P0x1lY2RAbFZnhtdioSLK8M/vI2NQMm1x5scmVl3zFSrF8dA9+O7qXGq26/Kv/rvj0KlSrSZESpZS/k5P/v414HYGVVhvxJjKCAkWKf/Q6Vja25CmQsY3IXaAQF08dfe/YW9d+49njhwyZ4vy/Fl98JtbW1hgYGBAennH2YHh4OLa2H243bG1t//b49P8NDw8nR46/dj2OCA+nuL39pyy++EQqVatF0RJ/9SFSkj/Sh3gdQcEi/6EPUTBj+5CnQCEunHy/fUhnlycvWbNZ8eLpIwmSfYWsrazethHvzCAMj4jANvu/ezj9Oa4pPp98ZStjW+ivfoFZtn+fT1ClVpM1x9s8hTb5ChP1/DEhB7ZKkCyTSIl+jWFUpBIgA0h++RSVWo2BlQ0pYZKLTnybdBYk8/X1RaPR0LNnT5YuXUq2bH8t5TIyMiJPnjzY2dnpqng6Z2aeBTPzvzYv0Gg0WNlk59qvFylU9O2NLS42hjs3Q2jYos1Hr2NfphzPHmWc6v7s8UNyaCXkTw+QPXvyiOkLVpA1myyr+9qYmJljYmb+P18nX7FSPAj5lSo/tVVeu3/tMvmKlfqbs0CTlkaKPA36qnyojchmk50bVy5R8P+DYvGxsdwLvUH9Zh9vI4qVLsvzxw8zvPb88cMPbtpxYt8uChUrQYG/GVQL3TIyMqJkyZJcOH+e+vXrA5CWlsaF8+fp1KnTB88pV64cF86fp1u3bspr586do1y5t7NV8+bNi62tLRfOn6dEiRLA29ng165do3379p/5E4l/42N9iJArGfsQd2+G0KD5x9uH4qXf70N8rH1IF/7qBTFvorD6lw9zxOdlZGREyRIlOH/hIvXrvt3EIS0tjfMXL9K5w7/7PX+Oa4rPx8jUHCPT/71P+SEaTRqp0l/MNBLv/0GWcpVRGZugSUoEwChHLjRpaaS+/vhSfqHfklPTdF2E/5nOgmSVK79N7nn48GHy5MmjTNcUH6ZSqfipbSeCNq4jd9785Mydh4B1nljb2vJDzTrKcbPHDuWHmnVp0vptp+Sndp1xGt6PID8fqtX9kTuhNzj8SzD9x7zdFCElJYWFMyZy/49bOM71IC0tTcl/ZpHVUrZx/4rFx7whKuwlMf+fayb82SPg7Wwxi/+fGbZjxTyyWttSv3M/AH5o2oYNs0ZzbvcWilaoSsjZozy9d5uf+o8BICkhnlPBfhSvVB0Lq+zER0dx6cAOoiPDKFWlzgdKIb4WKpWKxq07snOTD3Z585MjV262+6zBKrstFWvUVo5zdRxGxRp1aNjybRvRuE0nnEcNYNdmHyrX/pF7t25wbM8Oeo+amOH68bGxXDhxhM4DM+8M329F9+7dmTZtGqVKl6ZMmTL4bdxIfHw8LdN3u5wyhZw5czJi5EgAunTtSr++ffFdv55atWuzb98+boSE4DRtGvC2bnXt2pU1a9ZQoGBB8ubNy/Lly8mRIwf1/j8QJ75uKpWKJm06EeS3jlx585MjVx4CfTyxym6r7HYJMGf8UBxq1KVxq7ftQ9O2nZkxsh/Bm3yoWudH7obe4MieYPqOftuHSIiPY5uvF5Vr1cPKJjsvnj5h05ql2OXJRzmHqh8si9C9Hl07M3XGLEqVKknZ0qXYuMmf+PgEWjVvBsBkpxnY5czByGFDgbczle/eu6/8+8tXrwi9dRtzczMK5M//j64pvm6JsdHERr4iPuptYOPNiycAmFlaY2b5NtXGGd+FmGWzoULLt7uVXt8fSPYCRbHIkZu0lGSehlzi/oVjVO40+L+6rvh6qIxNMLL9a5KKoU0OjPMUIDUultTX4Vg37YBBNmvC/D0BiLlyBquGLcnRcQCRB7ZhkCUrNs06EXPh+F9LLQ0MMLZ7uxu6ysAQg2zWGOcpQFpiAinhL7/4ZxSfnx5sbqn7xP13797l2bNnODg4AODn58eWLVsoWrQoTk5OGWaYZXYtOnUnMSGe1QtciIuJwb7s90yatzhDbqAXT58QHfVa+btoiVKMneXGZq8VbPNdS47ceeg5ZDS1GjQBICLsJZfOnARgQv/uGf57TgtWULp8xp0Qxdfj9uUz7Fo1X/k7aMnbJXC12vagTru3HZiosJcZAtD5i5em1bApHNvizdEAb2xy5aXD2FnkzP92OY1abUD400dsOzGDuOg3mFlYkqeIPT2nLyJH/kJf7LOJf+enDt1ITIjHZ9E84mJiKFamHOPmLszQRrx89oQYrZ3nCtuXYsT0eQR6r2THxnXY5spN18GjqP5jxmXw544dBDRU1co/JL5OjZs0ITIykpUrVhAWFoa9vT0rVqxQEu8/e/4clfqvza3Lly/PXBcXli9bxtKlSylQoAALFy2iaLG/Zgz26t2b+Ph4Zs+aRXR0NBUqVGDFihUZ8omKr1vzjm/7EF4L3/Yhipf5non/oQ9RpEQpRs90I8BrBUEb3vYhug8eTc0f3/Yh1Go1D+/d4eTBPcTGRGOdPQdlK1WmQ++BGBkbf+mPKP6hJo0aEhn5mhWrVhMWHo598eKsXLpIaSOeP3+BWquNePnqFR26/tVHXL/Bj/Ub/HCoWBHv1Sv/0TXF1+3xtQuc27hY+fv0urf9y7JNO1Hu57epNmIjXmXoU6YkJXJxyyriXodjYGSMpV0+qvccQ6FKtf6r64qvh0n+78g9eIryd/aWXQGIvniSsIDVGFhaYWj9129ak5TIc09XsrfuQZ6Rs0iLiyH29/NE7t2qHGNoaU3eMXOUv63q/oxV3Z+Jv3uT5yvnfoFPJcR/T6XR6Hb/zebNmzNu3Djq1KnDrVu3aNu2LX369OH8+fMULlz4X+1u+duT15++oOKbdu1FjK6LIL4ixbJ/nmUG4tv0vZ3UB/GXG68SdF0E8RUpY6XrEoivies5ybEk/tJ9v+RoFX/5zn2DrovwVQi6/uwfHde6TO7P8t9fuXIlx48f5+bNmxgZGXHp0qX/+ho6n0n2+PFjihQpAsCBAweoX78+Y8aMISQkhAEDBui4dEIIIYQQQgghhBDiP0nT7RwskpOTadKkCeXLl2fr1q3/+YQP0HmQzMjIiISEt09tz5w5Q6v/z5mSLVs2YmJk9o8QQgghhBBCCCHE107XOclGjBgBwPbt2//1NXQeJKtYsSIuLi5UrFiRa9eusWjRIgAePHhArlwf3z1JCCGEEEIIIYQQQnwd/ulMsqSkJJKSkjK8ZmxsjPFXkNNU/Z8P+bycnJwwNDRk//79TJ8+HTu7tztqnDhxglq1av2Hs4UQQgghhBBCCCGErqWlaf7RP56enlSqVCnDP56enrouPvAVzCTLkyfPB//PmDx5sg5KI4QQQgghhBBCCCH+W/90ueXAgQPp3bt3htc+NovM3d2dNWvW/O319uzZo+S6/1/pPEj29OnTv30/T548X6gkQgghhBBCCCGEEOLf+KfLLf+bpZV9+vShdevWf3tM/vz5/9G1/gmdB8nq16+PSqX66Ps3b978gqURQgghhBBCCCGEEP+t1M+wu6WNjQ02Njaf/Lofo/MgWXBwcIa/k5OTuXnzJuvWrWP06NG6KZQQQgghhBBCCCGE+MfS0nS7veXTp0+Jiori6dOnpKamKpOuChQoQJYsWf7RNXQeJCtRosR7r5UtW5acOXOydu1aGjVqpINSCSGEEEIIIYQQQoh/6p/mJPtclixZQlBQkPJ3q1atAPD19aVKlSr/6Bo6D5J9zHfffce1a9d0XQwhhBBCCCGEEEII8R/805xkn8u8efOYN2/e/3QNnQfJYmJiMvyt0Wh4+fIly5Yto2DBgjoqlRBCCCGEEEIIIYT4pz5HTrIvTedBMgcHh/cS92s0GnLnzs2CBQt0VCohhBBCCCGEEEII8U+l6jgn2aeg8yCZr69vhr/VajXW1tYULFgQQ0OdF08IIYQQQgghhBBC/AcSJPsEKleurOsiCCGEEEIIIYQQQoj/gQTJ/qXDhw//42N//PHHz1gSIYQQQgghhBBCCPG/kiDZvzR06NB/dJxKpeLmzZufuTRCCCGEEEIIIYQQ4n8hQbJ/KTQ0VBf/WSGEEEIIIYQQQgjxGUiQTAghhBBCCCGEEEJkevoQJFNpNBqdfIqzZ88ye/ZstmzZgoWFRYb3oqOj6dSpEzNmzOCHH37QRfGEEEIIIYQQQgghRCai1tV/eP369XTo0OG9ABlA1qxZ6dixIz4+Pl++YEIIIYQQQgghhBAi09FZkOzWrVvUqlXro+/XqFGDkJCQL1giIYQQQgghhBBCCJFZ6SxIFhYWhqHhx1OiGRoaEhER8QVLJIQQQgghhBBCCCEyK50Fyezs7Pjjjz8++v6tW7fIkSPHFyyREEIIIYQQQgghhMisdBYkq1OnDosXLyYxMfG99xISEli6dCn16tXTQcmEEEIIIYQQQgghRGajs90tw8LCaN26NQYGBnTt2pXvvvsOgHv37rFp0yZSU1MJCgrC1tZWF8UTQgghhBBCCCGEEJmIzoJkAE+ePGHGjBmcOnWK9GKoVCpq1qyJk5MT+fPn11XRhBBCCCGEEEIIIUQmotMgWbqoqCj+/PNPAAoWLEi2bNl0XCIhhBBCCCGEEEIIkZl8FUEyIYQQQgghhBBCCCF0SWeJ+4UQQgghhBBCCCGE+FpIkEwIIYTQYzJhXAghhBBCiH9GgmRCCCGEHvLx8QHebogjhBBCCCGE+M8kSPYNeXc2gMwOyNy0v/+0tDQdlkR8DaQ9ENpu3rzJvHnzGDt2rK6LIr4CH7pHSJuRuUm/QWiT9kBok/ogMjsJkn0j0tLSlNkAT58+JSYmRmYHZGIajUb5/n18fDh8+DBJSUk6LpXQlXfbh8ePH/Pq1SvlfensZD729vasWbOGU6dOSaAsk0tLS0Otftvdu3btGnfu3OH58+eoVCoJlGRS2nXi1q1bPH/+nIiICEDuF5mRdh8C/qoD0j5kXun1YfXq1axZs0bHpRHiyzPUdQHEP5PemVm4cCFHjx4lKiqKHj16UL9+fb777jsdl058Sdqd2zdv3rBp0ybUajXGxsZUr14dIyMjHZdQfEkajUapD4sXL+bs2bM8fPiQsmXL8v333zNkyBAJqGdCarWamjVr4u7uztixYxk7diweHh66LpbQgfT2wd3dne3bt2NiYoKFhQVOTk788MMPGe4pInNI/749PDzYtWsXKpWK4sWLM2jQICpUqJDhQZzQf+n1wdfXlxs3bmBhYUHLli0pW7astA+ZWGJiImfOnKFKlSq6LooQX5y0et+QvXv3snPnTgYPHkzjxo3Zvn07a9eu5datW7oumviC0jsr8+bNY/z48eTOnZvXr18zZcoUzpw5Q3Jyso5LKL6k9IHMsmXL2LRpE8OHD2f9+vVYWFiwZMkS/vjjDx2XUOiKSqWiRo0aeHh4cPLkSZlRlslozwi6evUqe/bsYcmSJUyaNImyZcvSq1cvzp49i1qtlhkjmYBGo8lQJ86dO8fOnTtxcXGhX79+mJub4+joyMWLF1GpVDKjLBPQ/t0vWrSIFStWEB8fz/Xr1+nTpw9nzpyR9iETefd7NjExwd7enitXrpCSkkJqaqqOSibElydBsq/Yu42VSqWiS5cuNG3alMmTJ9O/f39u3LjB+vXrJVCWyQQFBbF161ZGjhyJh4cHv/zyC6VKlWLixImcPn1all5mMhEREVy+fBkXFxdq1KjBs2fPOHr0KLNnz6ZYsWJSHzKJDw1k1Go1VapUwd3dnRMnTkigLBNJD6Bv2LCBkydP0qFDBxwcHGjUqBEjR46kdevW9OvXTwJlmYRKpVLqRHBwMKdPn6Znz55Uq1aNrl270rdvX8qVK8fEiRO5dOmSLMfNBNIfuj59+hSVSoWnpyeLFy/G3d2dxo0b069fPwmUZSLp9eHcuXM8ffqUlJQULCwsiIuLw9DQEAMDAx2XUIgvR4JkXyntJVSBgYG4u7uzd+9eDA3/WiHbqlUrevToQWhoKBs2bCAkJERXxRVf2KtXryhZsiTFixcne/bsZM+endWrV1OyZElmzZrFmTNnJDCix959wq9Wq3n8+DF58uTh2LFjjBw5kvHjx9O+fXuSkpIIDAzk2rVrOiqt+BK0l8Ts2bMHLy8vFi9eTGRkJMbGxtSqVQsPDw8JlOm57t274+3trfwdHh7O8ePHWbp0KeHh4cDb9sPOzo7hw4fTpk0bBgwYwPHjx2VJlZ7q06cPAQEByt9//vkn27ZtY+PGjcTHxyuvlylThj59+lC+fHkmT56sBEeEfjtw4AD169dn3759ZM2aFYB8+fIxYsQI2rZty4ABA5RAuswu1E/aAdCLFy8yYMAAunXrxo8//sjFixf57bffWLJkCZcuXeLevXsyvhCZgtz9vkLaCTQXLlzI3Llz+f333zl+/DgBAQFcvXpVObZVq1b07NmTU6dOcerUKV0VWXwh6R2U+Ph4njx5gqGhISqVisTERAB69uzJ06dPcXZ2lqWXekq7fYiJiUGj0WBsbEyBAgXw8/PD0dERR0dHOnfuDMCTJ084deoUL1++1GWxxWemnXfKzc2NU6dOce7cOZo3b87vv/+OSqWiVq1aLFiwgNOnT9OvXz8dl1h8aqmpqfTt25du3bopr2XPnp1Ro0bRtGlTtm7dys2bN5WldOmBsnr16rF69WpAkrbrm5iYGJo3b07r1q2V1woWLEifPn34/vvv2bJlS4aVCKVLl6Zv374UKFAAf39/XRRZfGF58+alWbNmPHr0iNevXwNv24GcOXMqgfTevXtz7do1yVOnh168eKH0H86ePUvu3Lk5duwY69evZ/z48TRs2JCUlBS2b9/OpEmTaNWqFY0bN2bx4sU6LrkQn5dKIz2ir9bt27cJDAykefPmlCtXjkOHDrFx40ZMTU0ZMmQI5cqVU449ceIENWrUkKmweuZjCVOfP39Ohw4dqFOnDrNnz1Zev3DhAkeOHOHBgwdcuXIFNzc3SeavR7Trw6pVq3j06BF9+vShSJEibN68mZkzZ9KsWTPc3NxQq9VER0czduxYEhISWLdunbQPes7Pz49Vq1axatUqSpcuzaFDhxg2bBg5cuTA3d2dKlWqoNFoOHz4MJs3b2bNmjUyU0RPeXp68vjxY+X+EBoaypIlS7h69Spr1qyhZMmSSnL2yMhIsmXLJnVBz3l5eREREYGjoyMAJ0+eZP369bx58wZnZ2eKFy+uHHv//n0KFiwodULPfKxPGRoayqJFi7hy5Qo+Pj4Z2ofnz5+zc+dO+vTpk2E1i/j2Xbp0CQ8PDxwdHdm3bx+BgYHs3bsXOzs75ZgXL14wcOBAnJycKF26NNeuXeP169fUrVtX6oPQaxIk+0odPHiQWbNmYW1tzZo1a5QG6+DBg2zatAkTExOGDh1K2bJlM5yXmpoqA2E9od2ZCQ4O5ubNm6jVakqWLEmLFi0IDAzE29ubUqVKMXbsWKKjo3F3d6dQoUJMmTKFESNGcODAAby8vKhZs6aOP434lNzd3QkODmbUqFHUqlVLaR+WL1/OihUrqF+/PmlpaURFRREVFcX27dsxMjKSXar0jHZ7HxcXx7Jly7C3t6dly5YcPnyY8ePHM3bsWM6cOcO1a9dYsGABDg4OGa4hdUI/vPs9BgYGMm3aNHr37s2ECROAtwPhZcuW8fvvv7NmzRpKlCjxt9cQ3zbt7zMxMZE1a9bg5eVF//79GTp0KADHjx/Hz8+PqKgonJ2dKVas2EevIb5t2t/l9evXldfLlCkD/NU+/Pbbb+8F0tOlpKRIYESPXLhwAR8fH0JDQ4mNjWXr1q3kz5//vd99586dqVGjBsOGDctwvow5hT6TO99XIn09eHrM0sjIiHLlyvHw4UOePn2qHNewYUO6du1KSkoKzs7O3L17N8N1pLHSH+k3KDc3NxYsWEBMTAwpKSk4Ojri4+NDs2bNGDp0KCEhITRv3pyBAwcSHh7OmDFjAFiyZAnNmzcnb968uvwY4hO7dOkSv/zyC4sWLaJdu3bY2dkp7cbQoUOZP38+efLkwdramgYNGhAUFISRkREpKSky2NEjGo1Gae+vXLmCiYkJDRs2pEqVKty5cwc3NzfGjBlD165dad26NS9fvqR79+7cuHEjw3WkTnz7tAc0jx49IjExkfbt2zN//nw2btyIi4sLACVKlGDYsGFUqFCBVq1a8eeff2a4jtQF/aFdJ169eoWJiQk9e/Zk5MiRrFu3jqVLlwJQp04dunbtirW1NYMHD+bRo0cZriN1Qj9o5zletGgR48aNY8SIEYwZM4bly5cDf7UPFStWZODAgVy9evW95ZUSINMvlStXpnDhwjx9+pT8+fPz/PlzACX/XPrYNHfu3Ny/f/+982XMKfSZtHZfifSb14kTJ6hTpw5169bF3NychIQEnJycmD17NuXLlwegQYMGJCQkcPXqVb777jsdllp8bidPnmTfvn0sWrSIihUrsn//fvz8/DA1NcXMzIxmzZrRrFkzzp8/j5mZGaVLl8bAwICEhARMTU2ZP3++rj+C+MQiIyMxNzenRIkS7z3tS01N5aeffuKnn37KcE5qaqp0bvXI8ePHWbduHT4+Pri4uPDrr7/i7e1NhQoVANi7dy82NjY0atQIAHNzc7p37461tXWGJVXi26fdBixZsoQbN27Qs2dPqlSpQpMmTdBoNEyePBmASZMmUaJECfr370+hQoXIly+fLosuPhPtOrFs2TJu377NgAEDKFOmDC1btiQtLY2VK1cCMHz4cOrUqUNiYiJXrlwhT548uiy6+EzSg13Lly9ny5YtLF68mMKFC7Nq1SqWLl1KfHw848aNo0SJEgwZMoQ5c+awYsUKVq1apeOSi88lvZ0oX748CxYsYN++fSxdupR+/fpRu3btDLvhFipUiDt37gC8N7tQCH0lo6avyB9//MHAgQNp06YNc+fOpXLlyqSmpuLn58fMmTOZMWMG33//PYASHAGZDq9P3v0uX758yXfffUfFihU5cOAAEydOZPr06XTs2JHo6Ghu3bqFg4MDVapUUc5JTU3F1NRUF8UXX0BycjKPHz/mzZs3WFhYKHVGo9Fw9uxZcuXKRdGiRTOcI0/79EdqaiopKSk8fPiQJk2aEBYWxrZt25RdyQDCwsK4ceMGSUlJvHr1Cl9fX/LmzcuQIUMAWTKjD9IHKun3Cw8PD7Zt28aMGTOwt7dHrVajVqtp0aIFaWlpTJs2DbVazYQJEyhbtqySqkGWy+iP9HtBep2YP38+O3bsYMKECeTKlQsAGxsb2rVrh0ajYdWqVahUKoYNG0ajRo2UoLrUCf30xx9/8Ouvv+Lm5sYPP/zAsWPHCA4OpkWLFqxbtw61Ws2YMWMoUaIEzs7O5M+fX9dFFp9RejvRoEEDAGxtbfHx8cHLy0vZ6Afg0KFDVK9eXVmiLURmIb3kr0iBAgVwdXVl5syZGBgYMHv2bKpVq4ZGo2Hz5s3MmjWLSZMmvZdTRgJk+iP9uwwKCqJkyZJky5aNLFmyEBwczMyZM3F0dKRjx47A22V3R48epWDBguTIkUO5hnRu9YN2wFT7yV2pUqUoUqQIq1atYuDAgcpy2qSkJDw9PalVq9Z7QTKhPwwMDPjxxx/ZtWsX+/bto1KlShQsWBB4G0A1MjKiQ4cO7N27l0aNGpE3b15MTU2V5VUgS2a+dREREdjY2Ch/X7x4kd27d7Nq1SrKlStHUlISz5494+7duxQsWJBWrVqhUqmYMGECefLkoXv37sq5cr/QD7GxsWTJkkX5+/Tp0+zcuZMVK1ZQrlw50tLSCA8P5+nTp+TNm5d+/fqhUqmYP38+uXLlol27dsq5Uif0U+7cualduzYVKlTg4sWLODk5MWbMGDp06EBqaiqrV6/mzZs3zJgxQ7mnyEN4/Zfev6xcuTIqlYr169ezfPly7t+/z8mTJ7l//z4HDx5EpVJJfRCZivSUvyImJiY0adIEtVrN1KlTAZg9ezbVq1dHpVKxYsUKtm3b9l6QTHz7kpKSMDY2BmDt2rWsW7cOb29vrKysuHHjBkeOHGHcuHF07twZgPj4eDZt2kSuXLmwtbXVZdHFZ6CdP2TLli08fPgQMzMzevToQaFChWjRogV79uxh7ty5dOjQgaSkJPz9/YmOjqZPnz46Lr34nDQaDSkpKdSpU4dKlSrh5+dHv3798PLywsjIiKSkJExMTPD19eXw4cOkpqbSuHFjDAwMZAaZHpg5cyaPHj3Cy8tLeU2lUmFlZYW5uTmhoaHs3LmTAwcOoNFoMDU1ZcmSJbRs2ZLs2bNTtWpVHZZefA7Tpk3jzZs3LF68WBnwJiQkkCdPHgoWLEhoaCj79u1j9+7dpKWlUbhwYZydnWnbti12dnY0adJE1x9BfGIfCmZYWFjQsWNHTE1N2b9/PzVq1KB169YYGBiQJ08eqlevzoMHDzKcKwER/adSqZR244cffsDQ0JCtW7cSGBiInZ0de/fuVY6R+iAyE+kt65i3tzeRkZGMHTsWeBsoa9SokZJHxMTEhKlTp1KtWjUsLCwoXbq0jkssPqWRI0cyadIkZSnEvXv3eP78OU5OTkruoD59+jBr1iyioqI4fvw4ZmZmrFq1ivDwcFauXJnhBie+fdrf5ZIlS/D29qZGjRocP36cEydOMH36dHr16oW1tTV79+5lyJAh2NvbY2trS2BgIIaGhrJcRs9oD1pUKhWGhoa0bt0agLx58+Li4kLfvn1Zu3atEmw/d+4c9evXx8jICJC8dPpi0KBByiyymJgYLCwsMDY2JioqipkzZ3L9+nV+/vlnRo0aRa5cuZg2bRoPHjygSJEiyi7HEizVHxqNhk6dOin9heTkZIyNjcmaNSu///4748eP5/fff6d+/foMHToUMzMzXF1defz4MQ4ODkraDqkT+kP7fnH06FGePHmCoaGhkqQ9MTGR0NBQ7OzsMDU1JSEhgfv379O2bVt+/vnn964hvm3/5LvUHkdUqFABe3t7EhMTyZYtG2q1WtoHkSlJjdehxMRE4uLi2LBhA+bm5gwePBh4Gyhr3LgxZ8+eZePGjURFRTF//nwlh4jcvPTD8OHDuXfvnjLgOX/+PD179iRbtmxUq1ZNOa5Lly7ExcVx8OBB1q5dS6lSpciWLRtbt26VgIgeSg+QPX78mNDQUHx9fSlXrhzR0dF06dKF6dOn4+TkRMuWLWnZsiV//vknlpaWWFlZoVKppDOjZ7Tb+40bNxISEsLjx49p1qwZderUoX79+qjValxcXOjevTuzZs1i9uzZqNVqatSooVxH2gj9YGdnB6Aswd+zZw/lypXD1dWV27dv07dvX3744QeyZMmibOCSvvttOmkf9IdKpVIenm7bto2lS5cSHBxM5cqV8fT05Pfff6dt27ZUqVIFKysrYmJiWLVqFYmJiRmuI3VCf2jvjL5//35y586NpaUls2bNwtfXFwcHB1q1aoWTkxNxcXG8ePFCmXEMyIwhPfLkyRMlJYePjw8ODg6UKVPmg8dqP2g3NTXF3NwceNsHkfZBZEZS67+gd2f7mJiY0KlTJ7JkycLy5ctJS0tTEiOamJhQsGBBateuTWRkpEx/1jPPnj3j9u3bTJw4EWNjYw4dOkSDBg0YNGgQq1at4urVq1SuXBkLCwsA+vXrR5s2bXj9+jVZs2bF1tZWAiJ6bN26dWzduhVbW1ty584NQNasWfH19aVHjx44Ozvj6OhIhQoVlNwhIJ0ZfaSdhHvr1q00bdqU3Llzs2DBAi5dukSfPn2oW7cuxsbGzJ07lz59+mBnZ8eGDRtklqkeK1++PPb29nTr1o2NGzfyww8/UKFCBQwNDUlKSiIiIoIJEyZgaGhIvXr1dF1c8QXkyZMHGxsbevXqxfr166lTpw7VqlXD2NiY5ORkYmJiGD16NKamprLsVs/t3LkzQ066oKAgjhw5wrNnzwBo3LgxarWaEydOUKlSJRwdHeWhq565ceMGbdq0YfXq1Zw8eZKdO3eyZcuW/3iedpA0Pc+pEJmRSvPuI0bxWWgHucLDw1GpVMoMovDwcIKDg1m1ahW9e/dmyJAhxMTEMG3aNGrWrEnbtm3fu4b4tkVERDBx4kSsra1JS0vj119/JTAwEBsbG1xcXPDz88PZ2ZmmTZtiYmLywWtIfdBfDx8+pEuXLrx584b169dToUIFJdjx+vVrevXqRXx8PIsXL6ZEiRK6Lq74zK5evcqoUaNwd3enYsWKABw/fpzFixdTsmRJpk2bhrGxMYmJifzxxx+UKVNGlkhkAo8ePWLSpEk8efKEzZs3kytXLhITE/Hy8uL8+fMkJCTg5+eHkZGRDH4zAY1Gw+XLl3FzcyMhIYGNGzdiaWlJfHw8a9eu5cyZMyQlJbF582apE3pu6dKlvHnzhilTpnDgwAEmTJjApEmT6NChAzExMSQkJGBra5uhHyn3C/2zcOFCfH19UalUbN68GXt7+789XvuhWkBAAMnJyXTq1EnqhciUZIT9BWjfhDw9PRkwYAA9e/akc+fOhIWFkT17dtq2bcuwYcNYsWIFjRs3pl27dty5c4eWLVsCMv1Z39jY2NC5c2fOnz/P3r17mTBhghI0nTRpEh07dsTJyYm9e/e+tywindQH/ZCWlpbhb41GQ4ECBQgMDCRLliwsXryYBw8eKB0XKysrvL29+f777ylWrJguiiw+o/TE/B96LUuWLMrSuTp16jB8+HB27NjBjRs3UKvVmJmZUa5cOdRqtcwqzATy58+Pi4sLefPmpUuXLjx//hwTExOqVatGnTp1lGBISkqKBEP0XPrgNn1WkKmpKd27dyc6OhozMzMqVqxIlSpV8Pf3lzqRCSQlJZGamsqhQ4eYMGECjo6OdOjQAYADBw7g5+dHXFxchh205X6hH7TnvuTOnZv4+HiSkpJ4+vTpfzxPO0A2Y8YMcubMKfVCZFoyyv4C0m9CCxcuZMOGDXTt2pXZs2cTHh5O//79CQkJwcrKim7durF161aaNWtG586dCQoKUqY/y3IZ/ZF+A3v27BmvXr2iaNGiHD9+nDt37ijHTJs2jQ4dOjBz5ky2b99OUlKSroorPiPtAPrDhw+5ffs2KSkpaDQacufOzZYtW7h58yazZs3i/v37wNv6Y2Njg5ubGwYGBqSmpuryI4hPLCEhQemUnjx5koiICNRqNdHR0URERKBSqZT2oF69euTNm5fQ0ND3riNB9MxBO1DWtWtXHj9+TMWKFenbt6/SPsggR/9pL61OD5SZmZnRvXt3IiMjqV69OiNHjlT6lFIn9MO7D9nSFSpUiDNnzjB+/HjGjh2r7IweHR3N3r17SU1NVXJOATLG0BNpaWnKdxkVFUWnTp04fvw4ffr0YcSIEezduxfgvTyV2uf5+/vj5ubGkiVLaNSo0Zf9AEJ8RaQX/YVcuHCBkydPsmDBAtq0aUNUVBQRERFER0czZMgQbty4gYGBASVKlGD48OH07NkTQ0NDedqnh9JvRI0aNeLo0aP069ePu3fvsmbNGu7evascN3XqVBo2bMiePXuUHeuE/tAOkC1evJj+/fvTp08fmjVrxr59+4iIiCB//vxs3bqVmzdvMmfOHO7cufNeZ1baB/1x9uxZZXcxV1dX5syZg0ajoWzZsjRp0oRRo0bx4MEDpT14/fo1arUaKysrHZZafA4fG/x+SP78+Zk7dy6mpqbMmzcP+GsQJO2D/vhPdeLdQNm4ceOIjY3FxcUFkDqhb7T7EEeOHOHIkSOcP38egLZt21KiRAkltcujR4+4c+cOo0ePJjw8nBEjRgDvB0vEt0u7PqxcuZI5c+Zw5coV7OzsGDNmDF27dsXR0ZEDBw4o/UhXV1du3rypnBcQEMD8+fOZO3cuDRs21NlnEeJrIDnJvpArV67w+++/06tXL06dOsW4ceMYOXKksrTSysqK6dOn8/333+u6qOILeDcXSGBgINu2baNgwYIMGDCAIkWKKO+l3/gkAbf+0O7MLFu2DH9/f2bMmEHdunXp3bs3L1++pEePHjRt2lTp4DZs2JAePXowefJkHZdefC6//fYb8+fP588//yQpKYkdO3YoGzc8evSIOXPmcP78eYYPH46RkRHHjx/n1atXbN++XQa+ekS7rT99+jSlSpXC2tr6P5734sULbG1tpS7oIe06cfXqVQoXLqxs7PN359y6dYtixYpJndBj7u7ubNq0iRw5chAWFkbv3r0ZNmwYAP379+f58+fcv3+f0qVLY2RkxLp16yQnnR6bP38+27ZtY+bMmVSoUIGcOXMq782ZMwc/Pz969uzJ77//zuvXr9m5cyeGhoasW7eOFStWMGfOHJlBJgSyu+UXU6FCBfLly0dKSgo+Pj60a9eOzp07ExcXR968ebly5Qqenp6sWLFC10UVX0B6xyQ9WNK+fXsAtm/fjpeXF7169VISbKbnF5LlU9++s2fPUq1aNeW7DA0N5dSpU8yZM4c6depw+vRpbty4QbFixViyZAkATZs2JX/+/Jw4cYLs2bPrsvjiMytfvjwlS5bk8uXL5MuXj2zZsgFvB7vps4V8fHwICgrC3NycXLlysXLlSmVZnQx4vn3abf2iRYs4dOgQS5Ys+UdBMjs7O+Xf5aGK/tD+Ll1dXTl//jxLliz52yBZ+jnaG7tIndAP6d+jRqPhxYsXXLlyBT8/P0xMTDh//jzOzs7Ex8czfvx41qxZw61bt3j+/Dm5cuWiWLFisqmLHjty5Ai//PILPj4+lChRAo1GQ2RkJH/++Sfly5dnypQp2NjYcPHiRfLkycP69euVenD9+nWmTp0qATIh/p+0kF9A+g0tR44cRERE8OjRI9q0aQO8DZbkzJmTHTt28N133+m4pOJL0w6AtW/fHrVazerVq8mfP3+GXWgkQPbtCwwMxM3NjYkTJyo71mbNmpVOnTpRo0YNLly4gKOjI46OjnTs2JEuXbrg6+tLXFwcHTp0UJ4GSudWP6XfJ3788UcqVqzIli1baNu2Lb6+vuTIkYPk5GRsbGwYM2YMQ4YMQaVSYWxsjEqlkjqhR9Lb+sePH3P37l2mTJlC4cKF//Yc7eDHb7/9RqFChWQJrh5J/25fvnzJ/fv3mThxIvny5fvH54eGhpI3b16yZs36uYoovhDtIPqbN2+IjIykSJEiFC5cGBMTE/Lly4eRkRHTp09HrVYzduxY7O3tM/QnZVMX/ZWYmIi1tTUFCxbk3r177N27l23btpGWlkbevHnx8/Nj8ODBdO/eXQmyJyUlYWxsjIeHh45LL8TXRVrJL0D7yZ2NjQ3Zs2dn5cqVREVF8csvvxAfH893332HWq2W2QB65N3ZXx/7brUDZW3btsXGxobatWt/yaKKL+D777+nZcuWrF27Fo1GQ7t27cibNy9mZmYYGhoSEBCgLL+Gt7sSPXnyhNDQUCwtLZXrSOdWP6XfJ6pVqwZArly5WLBgAT169MDPz0/Z/Xb37t1UrVoVW1tbQHYl00cbNmxgzZo15MyZk7x58/7tsdoBMj8/P9avX8/SpUslSKZn1q9fz6ZNm8iePTsFChT422O168TGjRsJDAxkyZIlEiTTA9obgZ08eZLk5GTgbZL2nDlzYmxsTIsWLQCYNWsW8fHxTJ069YPXEN827d95+r+n57IeOnQod+7coXr16vTu3Zv8+fMzdepUZTVDeoBMo9FIzmMhPkJayi8oPenqvHnzsLa2Zvv27WTJkgV/f38lUCIBMv2R3hHZuXMn8HbW4McS76Z///B2xzoDAwOl8yP0Q/HixenSpQvVqlXDy8uLwMBA4G3gPCkpicjISExNTTME1ZcvX878+fOVpRVC/6V/zxUrVmTs2LHY2trSvn17Tp8+Te/evTMEzEB2JdNHzZs3J0uWLFy/fp07d+589LevPUjy9/dnwYIFjB49OsOsEaEfqlSpAkBISAjh4eEfPe7dOrFw4UIGDhxIwYIFv0g5xeeh3XcMDAxkx44dNGnShLp16/LgwQNWr16t7HqcHihzdHQkNDRU+g56SHs3yuTkZOW7b9iwIb1796Z06dJMnDiRcePG0b17d4oWLUqOHDnIkiVLhutI/0GIj5PE/ToUGRmJlZWVLJfRY5GRkTRt2pTWrVszYcKEvz1Wu3ObmJiIiYnJlyii+MLu3r3Lpk2bOH36NP369VNmjjk6OnLx4kVq1qzJH3/8QXR0NDt37lSCq/L0N/PQbgtu3rzJ4sWLuX37NgULFmT16tUYGRlJfiE98e5vO/17ffPmDW3atCFr1qy4uLhkyC2lfRy8DYbMnz8fFxcXySejBz7W3t+5c4c+ffpQuHBhFixYkCFYDlInMoPz589z8eJFChYsSPPmzQE4ePAgo0ePpkuXLowbN06ZGZSSkoKBgUGGXU/Ft0+7fVi/fj1nz54lLi6OChUqMHr0aOCvtiA1NZWYmBgmTJhATEwM69evl8kYQvxDEiT7H32sM/N3g9p3b1YSINMf737vSUlJBAQEcPz4cYYOHUqFChU+eN67S2aOHj3KihUrZBr0N+5j7cAff/yBv78/p0+fpk+fPnTo0AGAKVOmEBsbi5GREXPnzsXIyEgCZJnUu/eJP//8k/z580vSZT2i/dvev38/9+/fx9DQkLJly1KlShUiIyNp27YtOXLkYNasWR+cIebn58fChQuZM2cOjRs3/tIfQXxi2nXi+PHjPH78GAsLC4oVK0apUqW4desWffv2pWTJkri5uX1wQ4fNmzfj4eEhdUKPaDQanj59yo8//gjAhAkT6N27t/L+oUOHGD16NF27dmX06NEZHrJKgEx/aH+XHh4eBAcH07ZtW+zs7Jg5cyadO3dm9OjRWFpakpiYqIw/IiMjCQgIkF1NhfgvyMjrf6Ddmbl//z53797l+fPnAEp+sf8kOTlZBjt6JL0+bN++nYcPH2JsbEzDhg2Jiopi9+7dHzznQ8sj2rZtKwGyb5x2+3D58mVOnDjBxYsXAShWrBgdO3akRo0aeHt7ExAQALzdntvd3Z358+djZGRESkqKBMj0yIeeSX3sOdW7g5qCBQsq9xW5Z+iH9N+2m5sbrq6u/Pbbb4SGhtKzZ09++eUXrK2tCQoKIiwsjBkzZhASEpLh/LNnz7Jq1Spmz54twRA9oV0nZs6cyb59+9izZw99+/bl+PHj2Nvb4+3tza1bt5g4cSIREREZzj98+DCLFi3C2dlZ6oQeUalU5M2bF39/f8zMzDh37hxPnz5V3m/QoAGLFi3Cx8cHf3//984V37aoqCjgr+/y4MGDHDhwgCVLljBq1Cjy58+PoaEhgYGBODk5ER0djYmJCVmzZqVChQps2bJF6VNKgEyIf0gj/pW0tDTl3xcsWKBp1qyZpkKFCprWrVtrZs+erbyXkpLy0fO8vb017du31yQnJ3/+Aosv5syZMxp7e3vNjz/+qAkMDNQ8f/5cExISoilZsqRm//79GY7Vrg+bN2/WVKxYUbNv374vXWTxiWl/rx4eHprGjRtratWqpenYsaNmzJgxynuhoaGa2bNna3766SeNj4/PR68hvn2pqanKv4eHh2vCwsL+0Xna9SAxMfGTl0vo1r59+zQ1a9bU/PbbbxqNRqPZtWuXxt7eXrNt2zblmMjISE2ZMmU006ZNy3DuvXv3NFevXv2i5RWf344dOzQ1atTQXLlyRaPRaDQbN27U2Nvba3bu3Kkcc+vWLY29vb1m3rx5Gc4NDQ3VXLhw4UsWV3wh6feQixcvakqXLq2ZOHGi5vnz5xmOuXjxoowp9My8efM006ZNU77r5ORkze7duzXr16/XaDQazbFjxzQODg6aLVu2aM6ePaspVaqUxsnJSRMbG5vhOu+OR4UQf08eR/9L6dH81atX4+/vj7u7OwAPHjxg+fLlREZG4uHhgYGBgTJTSPPOjKFVq1YxZcoUmRXwjXt3OVy1atWoUqUKISEhXL16laNHj1KzZk1GjRrFhg0bsLe3V5LopteHgIAA5s+fz9y5c+Xprx7Qbh+2bdvG0qVLKVu2LMuWLcPT05M3b96wZs0a7O3t6dChA1FRUVy9ejVDGyFPf/VLehuxaNEijh49SnR0NE2bNmXo0KGYm5t/8Bzt+rBr1y7Cw8Pp2rUrRkZGX6zc4vN69OgRNWrU4Pvvv+fAgQNMmzaNWbNm0aZNG2JiYnj+/DlFixbl7NmzmJmZZTj3u+++01Gpxed09+5dGjRoQPny5Tl48CDu7u7MmjWL5s2bExsbS0REBMWLF+fgwYPkyZNHOU+j0cimDXosfYMnBwcHvL296dOnDyqVipEjR2JnZweAg4MDIGlc9Ilareb69ets2LCB7t27Y2dnR506dXj9+jWvX79m6dKl9O/fn/bt2/PkyRNy5MhBQEAA2bJlY8yYMcp1ZAaZEP8dWcfzP4iPj+e3335jwIAB1KpVi1q1atGxY0dcXV05e/YsXl5eAB8MkM2fP59Zs2YpWzWLb1f64Dc0NJSXL18CMG7cOGrVqkXhwoVp3rw5q1atUpZgnjhxIsNORcHBwUyfPh0XFxcJkOmRP//8k/PnzzN37lwqVqzI2bNn8fX1pXPnzty5c4dBgwYBb3e9HDFihOxiqae0l937+/uzfft2OnToQKdOndi8eTOTJ0/m1atX75337j1j4sSJfPfddxIg0zPpibX37t3LhAkTcHR0VHIUHj9+nG3bthEZGYmFhQUGBgb/KI2D+Lap1WqsrKw4fPgwjo6OSp3QaDQcOXKEvXv3EhcXR/78+TPUCXmwov/SA2WVK1fG29ub3bt3M2vWrPeW3UqA7NuX3hccP348DRs25PTp0/j6+vL8+XMsLCzIly8f4eHhREdHU7VqVQBMTEyoXbs2W7duZeTIkbosvhDfPAmS/Q/UajUPHjzg0aNHymvGxsZUq1aNunXrcuPGDSDjYEdmDOkfjUbDpUuX6NChA4sXL+bEiROULVuWHDlyEB0dTZMmTQgMDKRSpUq8evWK8+fPK4G1pKQkkpKSWLVqlexApWfSd58qVaoUv/76K1OnTmXixIlMnz6dunXrcuzYMdq2bQugJGTX3tZbfNvSA+HpT28vXbpEUlISEydOpGvXrgwYMABfX19OnTrF7NmzCQsLy3CudoDM3d2dBQsWUKdOnS//QcQnof1gRFu+fPm4ePEikyZNYvTo0XTu3BmAmJgYgoODSUtLy5CcXWYD6I+P1QlbW1s2bdrE2LFjcXR0fK9OxMTEZJh9KnVCP3ysPrxLO1C2YsUKoqKisLKy+ryFE1+cSqVS6sTgwYNp2LAhZ86cYcOGDbx48QKALFmy8Pz5c3bv3s25c+eYMGEC9+/fp3Tp0hgYGJCSkqLLjyDEN02CZP9QSEiIEgybNWsWhw4dwsTEhIYNG/LgwQOuXr2qHGtsbEzOnDl59eoVycnJymBHZgzpD+3ZPiqVCgcHB+bMmYNKpWLixIl4e3tTpUoVAgICOHr0KDlz5mTKlCls2LCBxYsXK+caGxvTunVr6tatq4NPIT6Vj83uaNWqFTly5ODEiRNUq1aNVq1aAW+DYg0aNKBkyZIZzpUk/fph2LBhGZKs37t3j27dujF37lyio6OBt21ImTJllC3c58yZw4sXL9BoNEo9SJ91LLvUfdu0l+QfOXKEPXv2sGfPHgAaNmxI48aNSU5OxsTEhBs3bnDjxg1GjhxJWFgY48ePBz6+wYP4NmnXidOnT3Py5ElOnjwJQNeuXWncuDEpKSnkzZuX+/fvc+/ePUaNGkVkZCQjRozQZdHFZ6K9KgH+PmiWvolLzZo12bhx4z/eLEx8W9IDogBDhgxRAmW+vr48e/aMXLlyMXfuXAIDA5k5cyaxsbF4e3srqxJkRqEQ/578ev4DjUbD48eP6dOnD23atCE6OpqgoCBlOUStWrU4cuQIAQEBJCUl4eDgQHR0NFeuXKFQoULK0pi0tDTMzc1ZtWqVBES+cdqd27CwMOLj48mfPz/NmzenXr16VK1alVmzZtG4cWNy5MjB4sWLKVy4MAULFqRSpUoAGbZgluVT367ExERMTEyU7/Lo0aO8fPmSfPnyUaBAAfLnzw+gzDg1MTEhOTmZK1eu4ODgQK9evQBkS249kzVrViU3kEajoXDhwqxatYrx48dz+fJlWrRogZmZGRqNhtKlS7N+/XratGlDwYIFGTVqFABbtmzB1dWVefPmSYDsG6Yd9Jw7dy5BQUFkz56dFy9e4OPjw5QpUxg/fjzR0dH4+flx584dypYti5mZGVu2bMHQ0FDaBz3zbp3YsWMHpqamJCQkUKpUKebOncv06dOJiopi2rRpREdHU7RoUYyMjAgICJA6occuXbpEt27d2LlzJ8WLF//bY9+ddS71QT+lB8rUajVDhgwB3u5uCdCzZ09+/vlnfvjhB2JiYihUqBBqtVpy0gnxCag08njyH9m/fz9Tp04lISGBpUuXUrduXWUZ5fHjx1m6dCmxsbEYGRlhZGREUlIS27dvx8jISDnu3QTv4tujvXR2yZIlHDp0iIiICGxsbOjbty916tTBysqKR48e4eXlxY0bN7h27Rpz5sxRltYJ/TBixAhKly5Njx49MDMzY/78+WzatIl8+fLx/PlzSpQoQdu2bWnVqhXHjx/H2dkZc3NzDA0NSUhIYMeOHRgaGmaoU+Lb9u7A1dfXl8KFC1O1alUMDQ05dOgQo0aNonPnzowfPx5jY2Pl+79//76yjfubN2+YMGECbdq0oWHDhjr8ROJTefLkCcOGDWPOnDnkypWLlJQUBg8eTGpqKh4eHhQpUoQHDx4QHh5Ojhw5yJcvnwx29JB2ex8aGsr48eNxcXHB0tKS2NhYRo4ciaWlJT4+PlhYWHDlyhXi4uKwsrKiZMmSUif0XHR0NCNHjqRq1aoMGDDgo+MG7Xq0detWTExMaN68+ZcurviCtOvCihUrOHjwIDVr1qRTp07kzZv3g8cJIf49ucv+B+mNjZWVFebm5hgZGXHhwgUKFiyo7CxVp04d8uTJw6NHj7h8+TL58uWjffv2GBoaZujMSKP1bdPulKxatQo/Pz+mTJmCra0t27Ztw8vLixcvXtChQwfy58+Po6Mjd+/eZc+ePbRs2VLHpRefWt68eVmyZAnm5uaULFmSM2fO4OXlRcWKFbl27RoBAQH4+vqSNWtW6taty+TJkzl9+jRmZmaMHDlSZgPoofQ2Pr2tCAwMJDIykgULFlCxYkUaNGjAokWLGDVqFCqVinHjximBsvT7SXJyMpaWlri7u5MlSxZdfhzxiaxbt44zZ85QsGBBihYtiqGhIWq1mo0bN9KuXTvc3Nzw9PSkUKFCFCpUSDkvLS1NgiF6Jr0PERgYyNGjRylRogSlSpVS2o4tW7bQokULZs6cyfz586lQoUKG86VO6I8PBTOyZs1K8eLFCQ4OZsCAAajV6vcepL27qYurqyvz58//omUXX967M8rUajWbNm0iV65cdO3aNcNxQoj/ncwk+y+kpqZy4MABJadY165dM3RoP3S8DIC/fY8ePVKWzaWmphIbG0v//v1p0aJFhhuTm5sbhw4dYu7cuco23Nrk6a9+0O6grlixghUrVtCpUyeioqJwc3NT3rt16xZLly7FyMiIhQsXvncdqQ/6RXvAEx4eTvbs2QHo0aMHjx49Yt68eVSqVEmZUTZ27Fh++uknZs2aJUuu9VhCQgJeXl5s2LCB3LlzExwcrLxuamrKyZMnGT9+PAEBARQoUEBmlWYCUVFReHh4cPjwYQoXLsyGDRuAv5bvb926FS8vL3x9fcmRI4fUCT334MEDbG1tsbCwACA+Pp7mzZvTvn17Bg4cmOHYdwNk7u7ukrMyk9HuawQHB9O8eXMZawrxGUi4+R/Q3qWsadOmjBkzhv379xMQEMC9e/cA6Nu3r5J0NZ00Wt++SZMmMWfOHCUJt4GBASqViri4uAw7VAI4OjpibW2Nn5/fB68lARH9oL3j0JAhQxg6dCgbN27k119/VXYcArC3t6dhw4YcOHCAx48fv3cdqQ/6Q7vT6u3tzbJly5TdjX19fcmXLx8TJ07k8uXLpKSk0KBBA+bMmcPjx4/lPqHnTE1N6dSpEwMHDuT27dssWbJEeR3e1h0LCwuMjY0lGJJJZMuWjb59+9KsWTOuXLnCunXrADAxMQH+qhuGhoZSJ/Tcvn376NGjB8OGDePcuXNERERgZmZGw4YNCQkJITk5OcPx6fUhICBANnXREx/boOFjc1i0N2lo1aoVBgYGsmmDEJ+BjNL+gXeX0KTvULdkyRJu3rxJTEwM4eHhVK1aVYelFJ9ap06dePz4MXZ2dvj6+tKtWzfKli1L1qxZsbGxYc+ePXTu3BljY2OSkpIwNjamZMmSxMTE6Lro4jPTnvY+ePBgzMzMmDdvHsHBwXTq1EnZjr1QoUIUKFBAtuHWY9pJuN3c3AgKCmLatGlKHQDYsGEDXbp0YeLEibi6ulKxYkWaNWtGs2bNAMkhou9sbW1p3bo1KSkpLFmyhOTkZFq1aoVarWbDhg3Y2dlhZ2en62KKL6hgwYJ0794djUaDr68vycnJdOzYkZiYGIKCgsiVKxfW1ta6Lqb4xO7evUv+/PkxNjbGz8+PevXqMXHiRM6dO8eIESNwcHDgxx9/pFGjRnTt2pUzZ85Qp06dDNfYuHEjHh4euLq60qhRIx19EvEpaN/7T548SXx8PLGxsbRu3fpvA+Ta/YXXr19n6G8IIT4NWW75X9Ke6nz06FF+//13EhMTGTt27Hs5yMS3a+nSpRw6dIgdO3Zw8uRJVq1aRaFChejQoQPff/89N2/epE+fPlSvXh0PDw9laW2nTp0oU6YMU6dO1fVHEF/Au4lUlyxZQt++falXrx5WVla4uLjw5s0bAgICJAiiZ2JiYpTlMQB79+7F1dWVFStWUKpUKeDt8ql79+5RsmRJALp3786VK1cICAigdOnSOim30J3IyEgCAwNZtmwZAB06dODp06csWLAAU1NTCZZmQg8fPmTDhg1s2LABGxsb6tSpQ1hYGMuWLcPExETqhB65du0aU6ZMoX379vz5559s3LiRw4cPK0nXz549y5UrV/Dx8aFixYqcPn2aOnXq4Orqirm5OSqVilevXuHs7Ezjxo356aefdPyJxKcyf/589u3bR44cOQgPD8fCwoJZs2ZRtmzZ947VHof6+PgQHBzMxo0bM/RHhBD/O4nm/L9/usOcSqVSjq1Xrx716tVT3pMAmf6IjY3NsANVUlISf/zxB35+fhgZGVGqVClmz56Nk5MTP//8M3ny5OHNmzdER0czceJEHZdefCkfSqS6aNEifHx8+PnnnzE1NWXVqlUZjhPfvk6dOvHzzz/TvXt35bWXL1+SK1cuSpUqxb179zh69CiBgYG8fv2apk2bMn36dDZs2MCsWbMoUaKEDksvdMXa2pp27dphaGjI2rVrMTc3Z8WKFcBf+ahE5lKgQAF69uyJWq3m+PHj5MmTBxcXFwBlhrrQD6VLl8bBwQFPT09iY2MJCAggb968JCcnY2RkRLVq1ahWrRqdO3cmMDCQlJQUTp06RXh4uLKJi62tLTNmzJBZhnrE39+foKAg1q5dS8mSJdmzZw9jxozJsColfdz5bk66lStXMnXqVAmQCfEZyEyyd3h7e1OlShVKly79HxPvpzdWaWlpqFQqyR2hB9K/00uXLuHk5ISBgQHPnz/n8OHDnDlzhjVr1lC4cGH69euHvb09L168UPKJmJubM2TIEJlRmAlpB8A2btyIs7Mzy5Yt48cff0SlUkl90DNHjhyhZs2aGBsbEx8fj5mZGXv37mXJkiUULFiQ+/fvU7ZsWYoXL07OnDmZOHEiAQEBfP/998o1ZGMX/fBPH7BpCw8PZ/v27Xh6ejJw4ED69+//mUonvhUPHjzA39+fY8eO0bt3bzp27KjrIolPRKPRKMvyt2/fzrx588iRIwcdO3akTZs2WFhYKPeD9P9Nb1d69+5N9uzZmT9/foal/UJ/uLm5YWZmxvDhw9mzZw9OTk6MHTuWzp07K/0LyNhn8Pf3Z/78+cydO1dy0gnxmcio7R2nT59m165dBAQEYGxs/NEOsPbrr169knwieiL9O3VwcCB37tycPn2amjVrYmlpSZMmTUhOTmbdunV4eXnRs2dPypQp897MsdTUVAmIZDLaM8W6deuGqakpdevWVZ78SX3QL/Xr1wdg+fLlREZGMmbMGGrVqkVUVBQXL15k0KBBVK5cmbx58xIaGkq5cuXee/IvAbJvn3Zw/Pnz59jY2PyjmT/Zs2enbdu2qFQq3N3dUavV9O3b93MXV3wBH5ox/E9mERcqVIjOnTujUqlYvHgxKpWKDh06fM6iii8gfaygUqkIDw+nfv36ODg44OPjw44dO0hKSqJLly6Ym5sDf90X0s+rWbMmFy9elAfxeuJDbcHNmzcpV64cly9fZsqUKTg6OtK5c2fS0tLw9PQkZ86cdOnSRakbW7ZskQCZEF9Apn4k8aEdRUaPHo2FhQWbN29WZoi9SztA5uvrS9OmTYmIiPjs5RVfzuvXrzEyMmL48OE8e/aMMWPGANC8eXN69+7N/fv38fPz49dff33vXBn86od/s+NQ+jnpS6qSk5OlY6vHbG1t2bhxI6tWrcLIyIhOnToxf/58WrduTa5cuYiJiWHRokWYmZmRL18+XRdXfELag51ly5YxY8YMbt68+R836UhvI2xsbKhRowZOTk5K0FV827TrxK1bt7hy5QrPnz//j3UifWe6ggUL0rhxYzp27Ei1atU+e3nF56U9hjhy5AhDhgzhwYMHFChQgIkTJ1K6dGn27t1LQEAAiYmJALi4uPDixQulHj179owHDx4QGxurs88hPg3t9iEkJITnz58D0LZtW44fP07Pnj2ZPHkynTt3BiAuLo4bN27w8uVL5Ro7duzAycmJefPmSYBMiM8sU09vSG+sPD09yZ49O40aNaJUqVKULVuWQ4cO0bx5c2xsbDI0bO+uB1++fDmzZ8/GxsZGZ59DfHpWVlYsX74ctVqNnZ0da9euZezYsXh4eNC8eXNUKhULFiwgX758VKxYUdfFFZ+Y9m/+0qVLJCUlUbRoUXLmzKkssf7QzADtgJjsOKT/OnbsiKmpKRMmTACgd+/eWFtbEx8fz/79+wkODiYqKootW7ZIXjo9k/49uru7ExwczOTJk8mXL9/fzhrVXi7l7+/P77//ztixY7G1tf0iZRafj/Z3u3DhQvbu3YtKpSIpKYkff/yRzp07U6RIkQ+el/5gbdOmTbx48YJevXpJzqlv3Lu7Fu7fv5+7d++ydOlShg4dSsWKFZk2bRqzZ8/ml19+4dq1a0RFRXH9+nXGjx8PwIsXL3j9+jXu7u5KTjLxbdJuHxYsWMCFCxfo0KEDLVq0oESJEtjZ2aFSqZTf/YMHD5g7dy4REREMGzZMuU7hwoXx9PR8b8dTIcSnl+lzkt2/f5/mzZujVqvp0aMHJUuWpHHjxjRv3pzKlSszc+ZM4K/ZI9oBMpnumjnExcWxd+9evLy8KFWqFB4eHsDbpblVq1aVmWN6zNXVlV9++YWoqChKlSpFs2bN6Ny58wcDHtoBdD8/P7Zt28b69evJmjWrroovPiPt7zs4OJiJEycycOBA+vTpg7GxMVu2bCE8PJwRI0ZInkI9deHCBcaPH8/ixYspX748ycnJvH79mj///BM7Ozvy58+vHKtdXwICAnB2dsbd3V36D3omPR3DggULqFKlClOmTOHQoUOsWrWKChUqZDj23Toxe/Zs3N3dadKkiS6KLj6DefPmcfjwYRo0aEB4eDhnzpzB3t6eQYMG8cMPP5CcnMyaNWu4f/8+aWlpzJs3DyMjI6VuJCQkYGpqquuPIT6R5cuXs2HDBhYuXEjp0qWxtLQE4MqVK3h6ehISEoJGo8HW1hYzMzN8fX0xMjKSHKZC6ECm67G/O7D97rvv6N+/P15eXlhaWhIUFMSJEycYMmQIrq6u1KlTh/r162eYIeLv74+Hh4cEyDIJc3NzmjZtikqlwtvbm759+7J27Vpq1KgBSAJufaI9aDl//jznz59n4cKFWFhY4O3tza5du4iLi6Nv374ZAmXvzjBduHAhs2fPlgCZHtPeaapVq1YASn7CwYMH061bN6VdkDyF+ikpKYns2bOTJ08eQkJC2LdvH/v27SM5OZkCBQowdepUihcv/l77MH/+fDw8PGjUqJGOP4H4VDQaDampqVy+fJn+/ftTpUoVDh8+zL59+xg3bhwVKlQgKSmJ1NRUzMzMPlgnFixYIHVCj1y9epU9e/bg4eHBDz/8AMC+ffvYtGkTK1euxMjIiPLlyzN48GDS0tKU+4X2AxUJkOkHjUbDixcvOHr0KE5OThmWU6elpVGhQgVmzZpFWFgYt27dIn/+/FSoUAEDAwN5wCaEjmS6dR/pAbLjx49z9uxZAEaOHMmPP/5IZGQkzs7OvHr1inXr1hEfH09gYGCGfGOHDx9mxowZzJkzRwJkmYi5uTlNmjShc+fOWFlZZchXJQEy/ZE+aDl06BC7d++mZs2aVKpUCXt7e6ZMmYK9vT2HDx9m7dq1SoAsJSXlvcHOnDlzaNq0qS4/ivgC0gNlAK1atcLV1RVPT0+CgoIytAvSRnz7PpSj0MbGhtu3bzN+/Hh69OihzBycNWsWjx8/JiwsDPirXdm8eTPu7u7MnTtXgiF6Jjk5GQMDA8LCwvjhhx+4dOkS48aNY/z48XTu3JmkpCQCAgK4efMmkHFVgtQJ/WRgYEBCQkKG9r9JkyZ06NCBixcvsnjxYi5duoRKpVJ2tJSNfvRT+sYLL168eC/wqVarlZx0pUqVonXr1jg4OCi7nUp9EEI3Mt0vT6PR8PTpU1xdXbG2tubMmTOMHTuW+vXrc+HCBTQaDd7e3gQGBrJ9+3aio6Mz5IbIkycPGzZsUJ4KiczD3Nycdu3a0aVLl7/NSyW+bTExMaxfv56rV69Ss2ZN5XVLS0vGjh3LggULOHLkCLGxscpSOsg42JEA+rfv3Z2NP7bTsfaMspYtW2JtbU316tW/ZFHFZ5aUlKTsWnnjxg3UajU5c+akVKlSbNy4kQsXLtCjRw8qV65M1qxZSUxMJFu2bMrAB94uyZ0/fz4uLi7SPuiBq1evUq5cOQB8fHwoUqQItWrVomDBggwfPpyIiAhmzJihzDKNiYnhwIEDGBoaKnlMJW2HfjM1NcXGxoZHjx5RsWJF5T7RrFkzvLy8iI6OxtPTE5VKRaVKlWSTHz3yof5CSkoKKSkpPHnyRPk7vf8YGhrK5cuXad++fYYVCPKATQjdyRQ5yT4UzLhz5w6//vorixcvxt7enpYtW7Jx40Zq1KjBqFGjAAgLC8PGxkYSLov3fGzALL496d+l9nf64sULXFxcuHnzJv3796ddu3bK8W/evGHGjBlYWFgwc+ZMVCoVe/bsYcyYMSxZskRmA+gB7fb+4cOHWFhYYGlpqXRoP/T7T58FkH5ecnIyhoaG0k58w6ZMmULfvn0pXLgw8DZJ/9atWzEzMwPe7mpZunRppb4kJSWRkJDAmDFjePPmDZs3b1YGOevXr6dgwYLUrVtXVx9HfCL3799nyJAhVKpUCXNzczZu3MiOHTsoVqwYISEhODs7ExMTw65du9BoNLx584Zx48YRHR2Nn5+fUieWLVtG8eLF5Z6hx6ZOncqhQ4dYtmyZEggLDw9n5syZVKxYkVOnTmFgYECfPn2oUqWKrosrPgHt/kN4eLiy+sTIyIilS5eyatUqli9frtwLkpKSGDx4MDly5MDFxUX6DEJ8JfQ+SKbdWIWGhhIdHU3+/PnJmTMnarWayMhIxo0bh7m5OU+fPiUkJIRly5bRoEGDD15DCKE/tH/br169wszMjNTUVLJly8bTp09xdnYmOjqatm3bKjMCAGJjYzEzM1MGxkePHsXCwkLJUyf0Q/qswbCwMNq0aUPTpk0pW7Ys8PczzV68eIGdnZ1Oyiw+jYiICPr168erV6/YtGkTr1+/ZuTIkcydO5fk5GSCgoI4evQoK1eupGrVqiQnJ7N69WpOnjxJWloafn5+GBkZST4ZPRQXF8eePXuYP38+SUlJbN68mRIlSqDRaEhJSeGXX35h7dq1REZGkj9/flJSUkhNTSUgIAAjIyOSk5MxMjLS9ccQn5F232LEiBGcP3+eNm3akCNHDo4dO0ZaWhobN27k1KlTLFu2jJw5c+Lm5iY5yPTI8uXLOXz4MMbGxtSrV48uXbpgaGiIi4sLW7ZsUR6+/vnnn7x+/Zrt27dn2LRBCKFbeh0k025o3N3d2b17N6mpqcTGxvLzzz/Tpk0bKlSogEajYfv27Vy6dImgoCC6devG1KlTdVx6IcTnpN0+LFu2jBMnTvDmzRuyZcvGiBEjqFGjBs+ePWP27NkfDJTBXx1hCaTrB+3vce/evbi4uODk5ERoaCgnTpzAzs6Onj174uDgAHx4FuKmTZvw8fFh8+bNZM+eXWefRfzvnj17xrRp07h16xaDBw8mJiaGAQMGAG8DJbNnz2bfvn2sWrWKKlWqcO3aNU6dOkX//v1lR1M9lf5bP3bsGJMmTcLS0pIqVaoos4rh7TKqly9fsnv3bjQaDTly5KBly5aShDuT0b4vLFmyhGvXrhEeHk6ePHnw8PDAxMQEgFOnTlG4cGHy5Mmjy+KK/5H29719+3ZcXV0ZM2YM58+f5+nTp+TPnx8nJyeyZs1KUFAQ+/fvx9jYmNy5czN+/Hi5ZwjxldHbIJn2YMfPz49ly5axYMECihYtysmTJwkKCsLa2poBAwZQpkwZ4O3ymL179/LTTz9JIyVEJrFs2TI2bNjAlClTiIqKIiQkhF27djF37lxatmzJkydPcHFx4cGDBzg6OlK7dm1dF1l8ZhcvXmT//v2UKFFCedp79OhR1q1bR9asWendu7cSKNPe3TY9L52zszNNmjTRWfnF/+bdWYFOTk4cP36czp07M336dOX99EDZwYMH8fDwoE6dOso1ZNdj/fJuQPzFixckJSVx9uxZ/Pz8KFWqFC4uLn97DakTmY/2WCQpKYmUlBTMzMxQqVQZch0K/XH27FnOnDlDqVKllA2cNm/ezI4dO8ibNy9Tp07F2tqahISEDDMHpX0Q4uuid1MfTp48CaDsOqfRaLh06RI//fQT1apVI0eOHLRp04aePXvy4MEDTp8+DaCsF2/RooUSzRdC6JekpKQMf79+/ZqTJ0/i6OhIixYt6N69O3PmzKF///5MmjSJ69evkzdvXiZOnEi9evVkOWUm8OrVKyZPnkxQUBAxMTHK6/Xq1aN3795ER0ezfv16ZXdk7QBZ+s6mEiD7dj148EAJkAUGBmJsbMy0adNo1KgRe/fu5e7du0qwxNzcHCcnJypXrsy6desyXEcGO/ojLS1NqROvXr0iJiaGLFmykD9/fpo0aUK7du24ceNGhhUIc+fOVdqI9GfRUif0w4fmFnxsvoFarVbeMzIywtzcXGk/JED27XN0dOT69evK3xcuXGDu3Lls376dLFmyKK936NCBli1bKmk8IiIiMgTINBqNtA9CfGX0Kki2ceNGnJ2dCQgIAMgwGyw2NhZ4G6kHaNCgAbVq1SIgIICkpKT3lkrJTDIh9EvPnj1ZvXp1htcSEhK4c+eOkog7PfH6gAEDcHBw4JdffiE5OZl8+fIxduxYZUtuob9y5MjB0qVLsbW15cSJE9y6dUt5r169evTt2zfDAxZ4GyDz8PCQXeq+cVeuXGHMmDEEBwczZ84cpk2bRkxMDPny5WPixImULl2anj178ueffyoDXTMzMxYuXIi3t7euiy8+A+2ZQJ6enowaNYqOHTsyZcoUbty4gaWlJS1btqR9+/ZcvXqVjh070q9fP/bu3avsgi75hfSHdsA0IiJC2cFWpVJ9tG/w7pL81NRUqRN64NatW9ja2mJvb6+8Vrp0aRo2bIiBgQFBQUEkJCQAbwPkHTt2pFWrVly/fh0/P78M15L6IMTXR2+WW/r6+lKwYEH279/P/fv3adWqFR07dgTeLqdat24dW7ZsoUiRIso5gYGB7Nixg7Vr1yq5AYQQ+um3336jVKlSGBsbZ8j7MHjwYNRqNbNnz8bGxkbpzA4aNAhbW1ucnZ11XHKhC6GhoUyaNIkyZcrQo0cPihUrprz366+/8v3332NgYMDBgwcZPnw4ixcvlgDZN+7NmzfMnDmTixcvEhsby4YNGyhVqpTSJjx79oypU6dy+/Zt/Pz8KFCgQIbBr+Qm1F8LFy5ky5YtTJkyBbVazebNm3ny5AmLFi2iXLlyxMTEcO7cOY4cOYKBgQHTp0/H0NBQllDpqaVLl7J//35sbGyoWLEio0aNAj68ZE67jQgKCsLU1JTGjRtLW6EH0r/bgIAAcufOTe3atUlISMDLy4tjx47h4ODA6NGjlTFmWloaR44coV69etIuCPGV04sWunfv3vj5+VGnTh369+9PoUKF2Lp1K5s2bQJg2LBhlC1blv79+3P16lXCwsKIi4vjl19+wcbGRgJkQui5tLQ0ypcvj7GxMatXr2bcuHHExcUBULduXcLCwvDx8SEmJkbJFRIbGyuJ1zOxEiVKMGfOHEJCQvD19eXOnTvKexUrVsTAwIDk5GTMzMxYv369BMi+campqVhaWlKhQgVl9titW7dITk5WBri5c+fG2dmZEiVK0KhRI168eJFhBoAMevXTyZMnOXr0KCtWrKBZs2ZkyZKFkJAQLCwsGDRoENeuXcPCwoL69eszd+5cZs+eraTtkIGw/gkODiYwMJDOnTtTuHBh9u7dy+jRowHem22uHSALCAhg0qRJmJiYSFvxjUtLSwPezgB7/vw5Bw4cwNXVlXPnzmFqakrfvn2pVasWv/76KwsXLlRmHKrVaho0aCCrEoT4BnzzM8lCQ0MZN24cS5cu5bvvvuP27dvkyZOHOXPmcP/+fVq0aEGXLl2Iiopi/Pjx/Prrr1hZWWFubq7sailb7gqROaSlpXHy5EmGDh1K69atmT17NvB2tunRo0dJSEigXLly3L17l9jYWHbs2CFLrzO5Gzdu4OTkRJ48eRg/fjz58+fP8L7cO75t787+un79Omq1mnXr1vHo0SNatmxJhw4dMgQ7nj59io+PDxMmTJAgiB7SrhPR0dFEREQQEBCAo6Mjx48fZ+LEiQwfPpzy5cszdOhQNBoNCxYsoGLFiso1pF3QH++2EUFBQahUKlq1akVcXBzHjh1j/vz5lCtXjsWLFwMoAdL0OpCes9LFxYVGjRrp5HOIT0O7PqSvSvj111/ZuHEjd+7cYdKkSVSrVo24uDi8vLw4c+YMRYoUYfr06ZKHTohvyDcfJHv9+jU///wzP/74I5aWlnh5eXHt2jUePXrEmjVruHfvHm3atFGWXu7fv5/4+HgAmjdvLltyC6HHLly4gKGhIRUrVmTevHkUKFCALl26cObMGYYMGULTpk2VHclOnTrF2bNnefnyJbly5WLkyJGyXEYAcPXqVTZv3sycOXNkBoAe0R7shIaGYmVlhbGxMTY2NkRERDB79myePXtGmzZt6NChAwDLly+nW7duZMuWDZAdyfSZh4cHERERzJkzh9evX5M1a1YGDx5MqVKlGDVqFGlpafTt25c//viDUqVKvZfzUnz7tIOdwcHBxMfHs2fPHho3bky3bt2At7lNjxw5gru7O99//z0LFy7McI30AJnkrPz2ad8zvLy8iImJoVevXlhZWXH58mU2bNjAvXv3lEBZfHw8CxcuJD4+nlmzZkngXIhvyDcdJEtvrC5cuEDv3r0xMTFh165d5M2bF3i7S5Wnpyf37t2jZcuWdOnS5b1rSAdXCP304sULHB0dMTQ0xMrKin379rFt2zZKlCgBwOnTpxk6dChNmzbF2dlZaQe0O8USQBfp0uuF5J3SPx4eHuzatQsAe3t7+vfvj4ODgxIgefz4Mfb29jx//pzffvuNs2fPSr9BD2m3/adPn2bu3Lm4uLhQrlw5AF6+fEn79u0ZM2YMLVu25PXr10yfPp327dtTo0YNGQDrGe36sGDBAnx9fSlUqBAvXrygWLFirF+/Xnk/ISGBY8eOMX78ePr27avkKFu3bh2rVq1i9uzZMoNMj7i5ubFz504GDx5MgwYNsLOzA+Dy5cusX7+eP//8k0mTJlG1alUSExMxNjaW/oMQ35hv+pea3tD88ccfSn6YtWvXKu8XKlSIgQMHUrhwYXbv3v3eFu0gW3ILoa/s7OwYPHgw9+7dY9++fcyZM4cSJUqQlpZGWloaNWrUYPny5ezbt48ZM2YoO+BqD3QkQCbSpe9QJh3cb5/2s8Fz586xc+dOXFxc6N+/P+bm5kyaNImzZ89iY2PD1KlTqVSpEmFhYZiYmHD69GkMDAyUnDRCf6S3/bt37+bYsWPUrFmTcuXKKbmDrK2tKVeuHN7e3gQGBjJixAhevXpF9erVlQGw0B/p9eHly5fcvn0bf39/vL29cXd35969ewwePFg51tTUlDp16rB69WqGDx8OvH3IduDAAaZMmSIBMj0SHBxMcHAwXl5edO3aFTs7O+Lj44mJiaFSpUoMGTKE7777jnHjxnH9+nVMTEyk/yDEN+ibnkmW7ty5c+TMmZN79+4xbtw4WrRowaxZs5T3Hzx4wPz588mePTszZ86Up31C6LF3l1DNnDmTtLQ0rK2t6devHw4ODsBfs0jPnDlDnz59GDNmDAMGDNBl0YUQX1BwcDB3797F2tqaPn36AG9zkq1bt47ffvuNOXPmULVqVZKSkgAwMjJCpVLJDFM9ptFo6NatG5cvX6Zq1aqsW7dOGeCqVCrOnj3Lpk2buHfvHvnz52fp0qUYGRnJDBE9tX79evz8/MidOzfu7u7kyJGDtLQ0Ll26xJgxYyhbtiwrV65877ykpCSMjY1ltYoeWr16Nbdu3cLDw4O7d+9y6tQpNm/eTJYsWWjYsCGDBg3i/PnznDt3jmHDhsn3L8Q3Si+CZOkSEhI4dOgQU6dOfS9Q9vz5c3LmzIlarZaEqkLoKe2BysWLF8mVKxc5cuTgypUreHl5oVKpGDRokBIoS3f9+nVKlCghA18hMolHjx4xefJkrl+/Tr9+/Rg6dKjyXkhICN7e3ly7dg0nJydq1qypvCf9B/2V/t2mpqbi6OjIhQsXGD16ND///HOGXdDT0tJ4/fo11tbWEjTVM+8GO2/dusXIkSN59eoVAQEBFC1aFHhbVy5dusTYsWPJkycP/v7+uiqy+MLWrVuHq6sr/fr14/DhwxQrVowyZcrw7Nkzzpw5w6ZNmzLsjC6BUiG+TXr12MvU1JSGDRvi7OzMrl27mD59uvJerly5UKvVpKWlSQdXCD2kPZXdw8MDR0dHLl26hEqlolq1anTv3h2NRsOaNWu4ePEiAEOGDCEoKIgyZcpgaGhISkqKLj+CEOIzefd5YP78+enbty/ff/89W7Zs4datW8p7pUuXpm/fvhQoUIAtW7ZkOE/6D/orPUBmYGCAm5sbpUuXxtfXl8OHDyuzCdPvMzY2NsoSSwmQ6Y/0PsS1a9eIjIzE3t6e5cuXkzVrVpydnYmIiADe1hUHBwdcXFywsrKSpbaZSO/evRk0aBA3b96kW7duyiqELl26kCVLFt68eZPheAmQCfFt0quZZOmSkpI4ePAgY8eOZezYsfTv31/XRRJCfCFeXl54e3uzfPlyihYtStasWZX3jh07hr+/P7dv3yZbtmy8fv2aAwcOYGRkpMMSCyE+J+3ZISkpKSQnJ2NmZgbA+fPnWb16NdHR0Tg7O1O8eHHlvPv371OwYEFZRpfJpAfKUlJSGDp0KC9fvmTAgAH8+OOPGBsb67p44jM7f/48PXv2ZNKkSbRq1Yps2bJx584d+vTpQ7FixZg/fz42NjZAxpmlsuRW/2l/34mJicoM06SkJIYMGaI8iJV6IMS375sIkv2b5Q2JiYlcunSJKlWqyFM+ITKJxMREhgwZQvXq1enbt6/yuvZymOvXr3Pz5k1evHjBoEGDlBlk0k4IoX+0B67e3t6cO3eO169fU6ZMGfr370/u3Lk5d+4cXl5eSqCsWLFiH72GyBy0A2XDhw/n+vXruLm5Ua1aNV0XTXwBbm5uBAUFMWTIEJo3b46VlRV37tyhb9++FCtWjHnz5mFra6vrYgod0B6TJiQksHXrVo4cOUJERASBgYGSo1AIPfHV/4K1l0fGxMT84/NMTEyoUaMGhoaGys5EQgj9FhsbS0hIiJIPIn0JhKGhIYmJibx48YIyZcrQvn17hg0bprQPEiATQj+lD1QWLlzI6tWrKV26NLVr1+bAgQOMHj2a3377japVq9KrVy+sra0ZPHgwjx49+uA1ROZhYGCg3BuWLl1K8+bNqVy5sq6LJT4x7XkC2ksmHR0dadu2LUuXLmXXrl1ERUVRtGhRvL29OXPmDKtXr9ZFccVn9k/mjWhP2khJSSEtLY18+fKxdetWjIyMSElJkXuGEHrgq55Jph2JX7VqFTdv3mTKlCnkzJnzH5+nPR1WCKE/PjbDtG/fvpiamuLi4oKlpaUyI+DXX3/l+PHj9O3bF0tLSx2UWAihC/fv32fAgAFMnTqVOnXqABAREUHfvn3JkiUL3t7eGBsbc+jQIS5fvsy4ceMkj4weunbtGmXLlgXAx8eHvHnz0rBhw789591ZxsnJybI8Xw95e3uTM2dOGjVqlGFJ7fz589mwYQOOjo78/PPPWFtb8/jxY3Lnzi1thJ7RHjv+N8n2tY+VJP1C6I+vOtSd3li5ubnh5+dH9erVSU5O/ttztJN3+/n5sWbNGiXhqhBCP2jPMH3+/Dl3795VkqU2adKER48esW7dOhITEzEwMCA+Pp7Vq1cTEhKSIUeZEEL/paWlkZCQoCyPSkpKwsbGBk9PT27cuMHWrVsBaNCgARMmTFBmEQn98ejRI3r16sWMGTNwc3Nj4cKFFClS5D+e9+6AVwJk+unSpUtMmTKF48ePZxgzjB8/nurVq+Pl5UVgYCAxMTHky5dP2gg9ox0g8/LywtXVlbi4uH90XnobkZSUJAEyIfTIVx0kAzh69Cg7d+5k+fLldOzYkbx58xIXF8ejR4/ea8C0Z5YEBATg4uJCkSJFJNGqEHpEOxC+aNEiRowYQbt27XB0dGTZsmW0b9+e+vXrc+LECVq1asWwYcPo2rUrT548YeXKlahUqn80pV4I8e350G/b2tqahIQEzp07B4CxsTHJyclkz56dYsWKfTCVgwx29MPTp08ByJ49O87OzgQFBeHv788vv/xC4cKF//bBq3afct26dYwaNepLFFl8Zh9qI1asWEGTJk2YOHEiR48ezRAoy5MnD8bGxly6dIksWbIor0sboT+0J2X4+vqSJ0+e93apfJd2XzQwMJAdO3ZI4FQIPfLVBcnevXm9ePGCggULUq5cOW7evMmqVato3bo17dq1Y/HixUojpt2Z8ff3x83NjQULFtC0adMv/hmEEJ9P+u985cqV+Pv7M2rUKPbt24exsTHe3t7cv3+fkSNHMm7cOBo2bEj27Nlp0qQJQUFBSr6I/3YjECHE1097hmlERARpaWloNBpsbGzo168f69evZ/v27cDbGUEajYaEhARlp0uhX1xdXZkwYQIajQZzc3PlezY0NMTb2xt4Ww8+NLB996HrihUrqFev3pcrvPgstNuIuLg4Xr9+rbzn6upK3bp1mTx5MkeOHCE8PByAqKgoFi9ejKenpzxk02O7d+8mODiYlStX0qtXL3LlykVSUhLR0dHvBdPfbR+mTZuGtbW1BE6F0CNfVU4y7emuMTExWFhYKFsxN2nShN9++40ffviBypUrk5qaypw5c9i2bVuGLdsDAgJwc3Nj7ty5NG7cWFcfRQjxiaV3SjQaDVFRUYwcOZLOnTvTpEkTTp8+zbBhw5g8eTLt27f/aL4yyRchhP5btmwZp06dIjk5mV69elG7dm3S0tJYuXIl27dvp2nTpuTMmZPLly8TFhZGcHCwbN6hh8LDw7G0tMTIyIjXr19jZWXFn3/+SUhICHPmzKF+/frMnj37b6/h7+/P/PnzcXFxoVGjRl+o5OJzeDfP8YULFwgNDaV9+/bUqlULBwcHACZOnMipU6fIlSsXKSkpJCYmsnv3bgwMDGTXQj2Wnvt68eLF3Lp1i7NnzxIQEEBaWhodO3aka9eumJiYvDcpY/78+cybN+8/5jcUQnxbvpqWXvvGs2bNGpycnHj16hVVqlRh6dKlqFQqRo0axbhx42jfvj2NGzfG3t4+w5TodevW4erqiouLiwTIhNAj2k9/Y2NjMTY2JjY2liJFinD48GGGDRuGo6Mj7du3Jykpia1bt3LlypX3riMBMiH02/bt2/H396dVq1bkyJEDT09PvLy8UKvVjBo1iqlTp3Ljxg2uXr1Krly5CAoKkl2w9VT27NkxMjJi165dVKtWjbt371KwYEFq1qzJ2LFjOXLkCNOnT1eOd3Nz49ixY8rfAQEBzJ8/n7lz50qATA9o73Tr6+tLo0aNmDx5Mnv27GHt2rUcP34cgHnz5jF8+HDq1q1L7dq12bVrl5KDTAJk+uFD80NsbGzYv38/rq6ujBw5kitXrtCxY0dq167N2rVriYqKAsgwgyy9fZAAmRD656t5dKq9HnzXrl0MHz6c+Ph4ABo2bEi9evUwNDQkOTmZ+Ph4HB0dMTExoVSpUso1Xr58yYwZM6QzI4SeSW8fZs+eTWpqKgMGDABg6dKlnD9/nvHjx9O5c2fgbQ6a/fv3Y2VlpaviCiG+kHdndiQkJDBs2DA6depEp06dWL58OQcPHiQtLY1evXrRqlUrfv755wwJ2N/dwVB8296tE1WqVKF69er07NmT9evXU6RIERo0aIBKpcLV1ZW7d+9iaGjIw4cPGTNmDABbtmxhxowZLFmyRAbAeuT48ePs37+fFStWUL58eX7//XeePHmCWq1m/fr1GBoaUqNGDTp27JjhPGkj9EdSUpKSq/rly5dkzZoVIyMjOnToQEREBKdPn6ZHjx7UqFGDggUL8vDhQ65cuZIhD/a6detYuXKlzDAVQo99VcstDx48yKxZs1i+fDnlypUDIDExkbCwMPLkyUNaWhrbt28nODiY+Ph4AgIClBxDcvMSQv9oT2t/8OABAwcOZM6cOTg4OHD8+HGGDx9OrVq1WL58ORqNhtjYWMaMGUNCQgLr1q2TmWNC6DHt9mHXrl1EREQQEhJC7dq1adasmXLcihUrOHjwIDVq1KBTp07ky5fvg9cQ+iUgIIAiRYrg4ODAs2fPmD59OteuXWPjxo0UKVKE2NhYrl69SmBgIJaWlkyZMgUjIyMSEhIICgrC1tZWAmR6JiQkhIsXL9KrVy+OHz/O+PHjmTx5MkWKFKFHjx5UrlyZdu3ayfeuh3x9fenatavSL1y2bBl79+7F3Nyc8uXLM2bMGMzMzIiLi8Pc3ByNRkNycjJDhgwhLS1NmZEMMGjQIJo2bUrLli11+ZGEEJ/RVxUkW7duHUeOHGHDhg2EhoZy8uRJtm3bxosXL+jVqxc9e/bk/PnzXL9+nZEjR2JoaCgBMiH00Js3b7C0tFT+9vT05OnTp6jVaqZNm6YMajdu3MicOXOUnEOJiYlERUWxbds2JSGzBMqE0D/as4Xc3NzYsmULdnZ23Lt3j/Lly7NgwQJy586tHL9q1So2bdrEwIED6dq1q66KLb4AjUZDdHQ0devWxdnZmZ9++gmA58+f4+TklCFQ9q70e4b0LfVTfHw88fHxmJiYMHToUKpWrcqgQYMAaNOmDS9evKBdu3aMHj1axyUVn9LJkyeZMmUK1apVw9XVlf379zN9+nQcHR0JCQnh+vXrmJmZsWLFCszNzYmJiWHv3r3s2rWL6OhotmzZIpMyhMhkdLa4/kOxuSJFinDp0iVGjRrFsGHDCA0NpWfPnkyYMIGVK1fy+vVrGjduzNixY5UcItJYCaFfhgwZgru7u/J3cnIyERERBAQEcPv2bdRqNSqVCpVKRffu3dm4cSMFChSgUKFCNGjQgO3btyudGQmQCaGf0gNkDx48IDIykvXr17Njxw6mTZuGRqNh4cKFPHv2TDl+0KBBjB49mk6dOumqyOIzSktLA/6aGWhpaUmZMmWIiIhQjsmVKxezZs2iXLly9OzZk9u3b2e4hkajUe4Z0rfUT2ZmZtjY2JCYmMirV6/Inj07ANHR0djb2zNjxgxGjhyp41KKT61SpUoMHjyYP/74A0dHRx4+fMiUKVNo06YNU6ZMoV+/fsTExDBkyBDi4uIwMTEhMTGRIkWKEBgYKAEyITIhncwk034C/Pr1a0xNTVGpVJiYmLBjxw727t1Lw4YNqVatGnny5OH58+eMGDECFxeXDz75E0Loj0ePHmFnZ4exsTEJCQmYmpry5s0b/Pz8WLJkCbNmzVJ2sNRoNKjV6veWTMkMMiH03y+//MKiRYvImTMnK1euVGafbtq0id27d5M3b17Gjh1Lrly5Mpwn7YP+unfvHoULFwZg0qRJxMbGsnjx4gz3h2fPnjF8+HCyZ8+Op6enrooqdCh9XFG4cGHKli3L0aNHiYmJYfPmzahUKmkj9Eh6cCs2Npbdu3ezZcsWHj58yJw5c5R8YsnJyRw/fhxPT08sLS1ZunQp5ubmyjWkPgiR+XzxIJn2YHblypWcOXOGV69eYW9vT/fu3XFwcCA5OVlZKpWUlMTIkSOJj49n/fr1srOMEHrq/PnzlCtXDjMzMwB8fHzYvXs3q1evxsbGhtjYWDw9PVmzZg1ubm40b95cmZGaHiwTQmQeO3fuJCAggDt37vDLL79ga2urvLd582b27NmDubk5c+fOVWaMCP3l7+/PwoULsbKywsrKCjMzM9LS0hg4cCAlS5bE1NRUGfjGxMRgbm4u941M7NChQ6xZs4aEhAQlYGpkZCR5CvVITEwMFhYWAFy+fJlKlSrh7++Pp6cnRYoUYfXq1UobkJKSwrFjx5g7dy7169dn6tSpuiy6EELHdJaTbPHixWzatInx48fz/Plz7t69y6FDh1iyZAn16tUjLi6OAwcOsHXrVuLi4pQk/e/uWiSE+PYFBgYybdo05s2bR9OmTTExMeHWrVv07t2bUqVK4ebmho2NDXFxcaxcuZK1a9fi5uaWITm3ECLzOXz4MMuWLSNLliy4u7tnmDXm7e3Nw4cPcXJykn6DHnq3P/jo0SOSkpIICQnh/v37XLt2jVOnTvH9999z584d7OzsyJ49Ox06dKB58+YfvIb4dqV/l+nDmo8FurSDYBERERgYGGBpaYlKpZIldXrkwIEDBAcHs2DBAhYsWMD27ds5duwYBgYG7Ny5Ez8/P0qUKMG8efMyBMp+++03KlSoIDPHhMjkvliQTPum9PLlSwYNGkT//v1p2rQpAGFhYaxevZrt27fj6+tLgQIFOHjwIHfv3mXUqFGSpF8IPefs7MzWrVuZMWMGjRo1wtzcnLt379K7d2+KFi2Kh4cH1tbWxMXF4enpiaenJ2vXrqVGjRq6LroQ4gvT7lMcOHCADRs2oFarcXNzw87O7r3jJBiiX7S/z+3bt3Pnzh2SkpKoXbs2tWvXBuDSpUsMGTIEb29vIiIiCAsLIzQ0FEdHR+lL6rH4+HjMzMz+donch9oFmUGmX0JDQ2nVqhVFihThxYsXbNy4kRIlSgBv60hwcDBbtmyhePHizJs3773vXpZYCpG5fZEeY1pamtL4hIeHY2xszJ07dzI0Pra2tvTs2ZPixYtz4cIFLCwsaNKkCePGjZMk/ULosaSkJACmTp1Ku3btmD17NocOHSI2NpYiRYrg7e3NnTt3GDt2LJGRkZibm9O/f3+mT59OlSpVdFx6IYQuqFQqZcZIo0aN6N69OxqNhkmTJvH06dP3jpMAmX7R3tnUw8OD1NRUXr16xaxZs3B2dkaj0VCoUCFsbGwAqF27Nm3atGHy5MlKn1Loh/RNG+BtwLxhw4ZERkZiYGDw0e/53XYhKipKAmR6JCUlhRIlStCqVSvu3r1LuXLlMjw8MTMzo1WrVnTo0IE7d+4wePDg9zaUkwCZEJnbF+k1pt+EPDw8mDdvHmlpaVSpUoWzZ8/y+vVr5bi8efNiYGDAgwcPAJTcRCCNlRD6SKPRYGxsDMCWLVuwt7cnNjaWefPmcfDgQeLj4ylatCjr1q3j7t27jBs3jvDwcCwsLOjcubMyw1QIkfl8KFD26tUrvL293ztO6J8TJ06wf/9+Vq5cyaRJk2jSpAkvX76kXLlyqFQqbG1tMTEx4fTp08o56fVF+pT6QXsm2P79+wkJCSEsLIyBAwcqSyk/FCjTnjW2adMmli5dSkxMzBctu/j03v19V6xYkQULFnDlyhWmT5/OkydPlOPSA2UtWrTA0tLyvSCZECJz+6xBMu0G5+zZsxw7dowePXpgY2NDpUqVuHTpErt27VJuTPHx8aSkpLy3E5UQQj+ld1KXLFmCu7s7ZmZmODk58cMPPzB9+nT2799PfHy8MqPs7NmzrFq1KsM1ZIapEPonfXZIej9Ce7aINu1AWcOGDZk2bRqTJk36MoUUOvXy5Uty585NuXLl2LdvH1OmTGHSpEm0aNGCmJgYLl26hKWlpTJbGSRgqm/SA2Surq54eHhgbGxMs2bNCAsLo0ePHh8MlGkHyAICAnBxccHBwUFJ8C6+TdqrliIiIgDo0KEDP/30E76+vpw4cQJXV1eePXumHHf+/AUbBLAAAB7ESURBVHl69uyJq6srarX6o/cZIUTm80VykgUHB3P9+nU0Gg3Tpk1TXnd2dub8+fNky5aN4sWLc/PmTaKjowkODpaBrxCZRGRkJN27d6dr16507txZed3JyYmdO3cyc+ZMfvzxRywsLHj8+DG5c+eWWQBCZBKXLl3CwcEB+Psk65JPKPMJDg7m1KlTNG/enFGjRuHo6KjcQw4ePMiff/5JkSJFqFWrlvQp9VhISAiDBw9m3rx5VK9eHYBTp06xdOlS4uLiWL9+PTY2NqSmpqJWq5V2wt/fn/nz5+Pi4kKjRo10+RHEJ7RixQpOnjxJamoq7du3p06dOuTMmZPr16/TvXt3qlevTuvWrdm6dSv3799n3759ysMWuYcIIdJ9lplk78bdDh06xMaNG7l582aGJ3pTp05lwIABlChRgufPn1OuXDklQCb5IoTQfxqNBo1GQ1xcHJaWlsBfOcpmzZqFvb09ixcv5pdffiExMZF8+fL9bZ4RIcS3TftJfmhoKN26dcPHxwfgHz/pf/DgAbGxsZ+riOIrUbZsWfbt28fAgQOZNm2aEiBLSEjA39+fu3fvUq9ePelT6rnY2FjevHmTIedU1apV6devH48ePcqw9DK9/fD398fd3Z25c+dKgOwbpz3mDAgIYP369TRr1gwbGxs2b97M6tWrefbsGWXKlMHPz487d+6wYsUKoqKi2L17twTIhBAf9Mlnkmk3NLt27SI1NZVWrVoxa9Ys9uzZw6hRo2jRogXm5uYZztPeRUR2sRQicxkwYABv3rxh06ZNqNVqUlJSUKlUODo6cv78eQoXLoyvr6+uiymE+Iy0+w9+fn7cu3eP7du3Ex8fz7hx4+jXrx/w/owy7fM2bNhAUFAQy5cvJ3fu3F/+Q4gvat++fUyYMIFu3bpRu3ZtNBoNq1evJiwsjO3bt0tfUs9o/9bT24FXr17Rt29fWrduTY8ePZSxRExMjLLkMkeOHKxduxZLS0s2b96sBMgaN26sy48jPqGrV6+yc+dOqlatSoMGDQBYvXo1hw4domzZsvTr14/cuXMTHh5OdHQ0BQoUUPqb0k4IId71SVsF7Y7rH3/8gbe3N2lpaVhaWuLk5ERcXBw+Pj6YmprSpEkTTE1NlXO0l09JYyVE5pD+++/Xrx9z585l1KhRLFmyBENDQ9LS0khJSWHdunUULVoUkCVVQuiz9N/2woUL2bJlC1OnTqV06dJcuHCB5cuXk5KSwqBBg5QZZWq1OkOb4O/vz5IlS5gxY4YEyDKJhg0bkpKSgpubG7t27cLW1pacOXOybds2ZQaZLM/XD+8Gx1NSUjA2NiZbtmyULVuW/fv3kzt3bpo0aQJAcnIy+fLlo1u3bmzcuJHdu3fTpUsXwsPDZYmlnjl58iTOzs7ExcVRt25d5fUBAwYAcPjwYdauXUufPn3IkycP2bNnB97WKRlzCiE+5LPkJHN1deXJkye8fPmS+/fvkzVrVhwdHWnUqBGOjo5cv36dQYMG0bBhwww7WAohMqekpCT27t2Ll5cXcXFxlC9fnnv37hEfH88vv/yiLJP4WD4iIYR+CA8PZ+DAgXTu3Jm2bdsC8OLFC7Zu3crq1asZPXo0vXr1At4Ogo2MjADJL5TZRURE8ObNG4yNjcmdOzcqlUpmiOgR7fu/j48PV65c4dGjRzRs2JA2bdpgaWnJ6NGjefXqFcWLF6dixYrs2LEDIyMjPD09adu2LT/88ANOTk46/iTic3F1dWX79u00btyY8ePHkzVrVuU9Ly8v/P396dq1K71799ZhKYUQ34pP3nvYvn07W7duxcfHh3z58pGUlMTEiRPx9PRErVbj5ubGxIkTcXZ2xtramlq1an3qIgghviEajQZjY2N++uknypcvj7+/P7GxsTg4ODBhwgQlB5nMBhBC/xkYGPD06VPCw8OV1+zs7GjXrh0nT55k3rx5pKWl0adPn/cCZJJfKPOysbHBxsZG+VtmiOiX9ACZh4cHW7ZsoW3btuTKlYuNGzdy9epVRowYwcKFC/Hx8eHMmTOEhoaSO3duFi5ciLGxMbly5SJPnjxK/iqZkf7t+tgD0wkTJpCWlsb58+fx8/OjW7duyo6l/fr1I2fOnPz8889furhCiG/UJ59JtnDhQi5evMjGjRuBtze2Fy9eMHz4cMLCwpg8eTINGjRgxYoV9O/fX+nkCiH0z7udmX8T7JLZAELopw8NdlJSUpgxYwZv3rxh1KhRFC5cWHnP2dmZe/fuce/ePUaPHk3Lli3Zs2cPEydOxN3dXQJkQuiRTZs2UbFiRUqUKAG83chj2LBhzJkzhypVqgBv81DNnTsXW1tbPDw8MDIyQq1WExMTowRI0pdv+/v7U7BgQZ19HvG/075nBAcHc+vWLUxMTChRooSyzNbZ2Zlff/2VRo0aZQiUpZOHrkKIf+KTrV1Kj7UZGxuTmJhIcnIyarWa5ORk7OzsGDNmDBEREaxbt45jx44xZMgQjIyMZMchIfRYemdm586dABl2l/qQ9N0u4W1nSGYDCKGftAc7d+/e5fbt28DbnKS1a9fm9u3bBAYGcvfuXeBtEu7nz5/TuHFjKlasyIkTJwCwt7dn1apVEiATQo88evQIT09PNm3axJ07d4C3/YmEhARMTU2Bt8GOcuXKMXnyZI4dO8bJkyeVNsXCwoI7d+4wbNgwdu3axdq1ayVApgfSv19XV1fc3Ny4f/8+ly9fZtSoUcybNw+AqVOnUrFiRQ4fPsyqVauIi4vLcA0JkAkh/olPFiRLn7rcoEEDbt68yZo1awCUmWLJycnUrl0bQ0ND1q9fT1JSEiCNlRD6LjIykrlz5+Lq6grwH/OKpbcl6YF2IYT+Sf9tu7u707NnT3r37k27du24d+8ejRo1YsCAAZw6dYrx48czaNAgevTowcOHD+nYsSN58+blwYMHJCUlUaRIEapXr67jTyOE+JTy58/PypUrCQkJwcfHh7t375ItWzbi4+P5888/gb8epJUrV+7/2rv/+Jzu+//jz+u6cgUJaUSlREgVUxmxoX6Urp0ipX40uZmKHzOkDF22UpaK2pAfIiIRnWVEiAahQStlq6aqLc1M6NoI0fi5YAnqR4KQH1c+f7jlfJNWv+02kubK4/7fdc51Tt7nJk7e53ne79dbP/rRj3TmzJlq52jfvr38/f2VlJQkb2/vWrgKPAgZGRnasWOH3njjDcXHxyshIUHLli3Txo0bFRsbK+luUNa+fXtduXKF2tcA/iv3/Qm0Y8eOCg0NVXx8vJYsWaIjR44oLy9PycnJ8vb21vz585WRkaHMzMz7/aMB/AB8faSYs7OzZsyYodzcXH322WffelzVVeo2bNigGTNmGGE6APtQdfR4enq6/va3v2nBggVavHixGjRooEmTJumLL76Qv7+/FixYID8/Pzk7O+tnP/uZUlNTJUkXL140VrwFYJ+8vb21aNEiZWdnKzExUTabTVOmTNG8efN08OBBY2rlrVu3VFJSooceesg4tnJEev/+/dW6devaugQ8AFeuXJGrq6s6d+4sSWrQoIGGDBmiefPmaePGjTpy5IgkKSIiQqGhoTKZTHoAa9QBsHMPZB6Tv7+/nJ2dtWDBAu3cuVMVFRVq1qyZJk6cqMuXL8vLy6tagVUA9qNyhMi2bdvUo0cPtWnTRgMHDtSOHTv07rvv6qc//ek3jqkakKWkpCgmJkaLFi2So6NjjbYdwINROU2qcvR4WlqaCgsLNX78eD377LOSpCeffFITJ05UUFCQ4uLi1K1bN3Xr1k3jx4+XJF24cEEpKSnas2ePNm7cyP0BsHPe3t4KCwtTSEiIVq5cKV9fX7344osaP368AgMD5eTkpEOHDslkMsnPz884jsL89uFedSubNm2qc+fOKScnRz4+Pkb/0cfHR1artdr0SrPZzMroAP4rD+yu4evrq+3bt2v58uVatmyZtm7dqgYNGiglJUVms1nNmjV7UD8aQC3LyMjQ3LlzNWnSJKWmpspkMmnBggXatGmTdu/eXe27Xw/IoqKiFBYWpsGDB9dG0wHcZwEBAdX+39+6dUvR0dFatGiR8vPzJd29D1gsFq1bt05eXl565ZVXlJmZaYwAKC4u1po1a/Thhx9q/fr16tChQ61cC4CaVRmUHT16VLt379bgwYMVHh6uAwcOKCMjQ25ubtq2bZscHByoc2xHqoZbH3/8sXbt2qUTJ06oU6dO6tmzp9avX69jx44Z/Uc3Nze5urqqtLS02nkIyAD8N+776pbfJjc3V6tXr9ZHH32kdevWqVOnTjXxYwHUgHu9qZswYYKys7M1ZMgQffXVV+rXr5+Kior0ySefKDQ09BtFdDdv3qwlS5YoPDxcvr6+Ndl8AA/Q5s2b5efnJ0dHR5WUlMjR0VEFBQV65ZVXdPXqVf3lL39RmzZtjMDcZrNpxIgRatu2reLi4ozzXL9+XSUlJWrevHktXg2A2pCdna3XX39dP/7xjxUUFKTmzZtXe8nGStj2KTo6WsnJyXJ3d9f58+e1cOFC3blzR3/9619ltVo1bNgwubu7a82aNbp27Zq2bNlCvWsA/7MaCcnKysr05ZdfKi0tTf7+/rwBBuxUTk6O3Nzc5O7urqysLCUmJqpr165q0aKFIiIi1KhRIxUXFyswMFBjx46ttpR3cHCw4uLiWKUOsBPHjx9Xx44djc8rV66U2WzWuHHj1LhxY128eFGTJk2So6OjVqxYoVatWhkPvRUVFbLZbMbDDlNmABw9elTz5s2Tp6enZs2aZbxsqxqWoW6r+jfg/PnzmjNnjmbPnq22bdsqNTVVMTExmjt3rho1aqRDhw5px44dat++vVxdXbVq1SpZrVaVl5cTlAH4n9RIj9PBwUHe3t6aOXMmARlghyoqKpSZmalRo0Zp+fLl+vjjj9WlSxc1b95cRUVFeu655/TWW2+pe/fuunTpkg4cOGA88JaUlKikpETx8fEEZICdCA8PV0hIiA4ePGhsu337tmJjY7V161bduHFD7u7uSkxMVElJiYKCgnThwgXjQddkMslisRjTpwjIAHh7e+uPf/yjnJ2dqxXkJyCzDzabzfi3vH79usrKytS9e3f5+PjI1dVVgYGBmj17tsLCwlRYWKiQkBB9+OGHWr16tRITE2W1WlVWVkZABuB/VmPTLQHYl3u9uU1LS9OBAwe0Z88eBQYGysvLS3/4wx+0aNEi/fznP9etW7d07Ngx/eQnP6nWiSktLZXVaq3pSwDwgOTm5mrWrFlq0aKFJk2apN69e0uS4uPjFRsbq+DgYI0cOdIYURYYGKjCwkKlpqbq4YcfruXWA/ghqzo1mwDd/sTExGj//v06c+aMPDw8FBsbq8cee8zYv27dOkVFRWnSpEmaPn26GjVqJIkRxwDuH0IyAP+xqh2Ry5cvq7i42Hire+PGDe3du1cLFy6Ur6+vjhw5ooqKCi1fvrxaHTKGwwP2qbLuWF5enqZPn642bdpo3Lhx6tOnj6S70y7j4uKqBWX5+fmKjo7W4sWLuS8A+E5MsbQfVfuUO3fuVEREhKZOnaq8vDxt2bJFAQEBGjdunFq1amUcEx8fr71792rTpk38HgC476hwCeA/UlFRYXRm4uLilJ6eritXrsjNzU2TJ0/W008/raFDh6pr165KSEiQg4ODsrKylJmZWS0k40EYsD82m02Ojo6SpKtXr6p///5au3atiouL5eDgoCeeeELTp0+XJC1ZskQmk0n+/v5q0aKFoqKiJBGgA/huBCP2o7JP+Y9//EOZmZl69dVX9cILL0iSvLy8tGrVKlksFgUEBBhB2a9//WtNnTrVqF/G7wOA+4mQDMD3VrUjEh8frw0bNigkJEQPP/ywtm7dqoSEBBUUFGjUqFFq3bq15syZo5MnT2rXrl0aMWJELbcewINW+bATFRWld955R6NHj9aoUaO0Y8cOrVixQjNmzFCvXr00ffp0WSwWRUREqHnz5hoyZIhxDgIyAKhfLl26pJCQEF2+fFmPPvqosX3s2LGSZARlI0eONGYuEJABeFCYbgngO+Xl5RmdkvLyct28eVMvvfSShg8fbnRgpLsjQ9LT0xUeHq4ePXp84zws0Q7Yn+LiYjVq1Mh4WMnJyVFgYKAiIyPVt29fSdLJkyc1ZcoUtWzZUkFBQerZs6ekuyvbDh06lPsCANRzOTk5+u1vf6tWrVrp97//fbXVkTdu3KjQ0FC9/vrrCggIqMVWAqgPqG4I4P/rtddeU1hYmLKzsyXdHeVhMpl069ataitUStKcOXPUtGlTbdiw4Z7n4kEYsC+RkZF64403VFRUZLzNd3R0lIODgxo2bCjp7sIc7dq1U3x8vLKysrR+/Xrt3btXkvTCCy/IwcFBZWVltXUJAIAfgMcff1zLly/X1atXlZycrNzcXGPfmDFjFBsbq1GjRtViCwHUF4RkAL7V6NGj9cknn+jSpUtav369srKyJElNmjSRm5ubdu3aJenuQ3FlUNapUyemSwH1xPXr13XgwAElJyerqKhIktSwYUPdvn3buF+YzWaVl5erTZs28vLy0p49e3Tw4MFq5yFABwA8/vjjxovZ9evX68SJE8a+QYMGyWKxqLy8vBZbCKA+ICQDcE8rVqxQcXGx9u3bp9/97nc6d+6cUlJS9Pnnn0uSgoODdeLECc2aNUvS/6sjlJOTI1dX19pqNoAaUFmpoXJq9fvvv68333xT165dk4eHh6ZOnaqoqCjt2rVLFovFuD/4+PhozZo1mjlzZm02HwDwA+Xt7a3Q0FAdO3ZMcXFxysvLq7afF7EAHjRe3QK4p5s3bxrTp3JyclRSUqLc3Fxt2LBBVqtV3t7eWrRokebPn6/nn39eHh4eKiwsVFFRkYKDg2u59QAeJJPJZKxCGRwcrIiICKWnp6uiokITJkzQ2LFjdfHiRc2cOVN///vf1axZM2VmZqqwsFALFy40RpfxsAMA+Dpvb2/Nnz9fmzZtMla0BICaQuF+ANVUFt/OzMzU/PnzZbFYlJ+frw8++ECffvqpVq9erccee0yBgYHq2LGjCgoKtHbtWkmSk5OTpk+fbtQYYgoVYH9sNptRj7Cq0NBQHT58WAMHDtSECRPk5OSktLQ0paSkyGq1ysXFRdHR0bJard96DgAAKlX2SfmbAaAmEZIB+FaTJ0/W/v371a9fPyUkJEiS0tLStHbtWrVr104TJkxQ586dv3EcI0QA+1T1QeX06dNydHQ06o1Jd6dfHjx4UIMGDdLYsWPl4uJirH5ZiQAdAPB9VQZlAFBTCMkA3NO1a9cUHBysLl26aNeuXerYsaOWLVsm6W5QlpSUpA4dOugXv/iFunXrVsutBfCgVX1QiYmJ0QcffKCrV6/KyclJI0aM0MsvvyxJCgsL0+HDhzVgwACNHj1aTZs2vec5AAAAgB8aXuUCuCdXV1f96U9/ktls1iOPPKI1a9Zo1qxZio6O1rBhw2QymbRs2TJ5enoSkgH1QGW4tWrVKqWkpGjp0qUqKSlRXl6eoqOjde3aNc2bN08hISGKiIjQli1b1KJFC/n5+X3jHAAAAMAPESEZgG9VOWVyyJAhMplMSkhIMIKyoUOHqmnTpurdu3cttxJATSkpKdHhw4cVGBiop556ytju6emp3/zmN+rQoYNefPFFvfbaa/L09NTw4cNrsbUAAADAf4YKiAC+k5OTkwYPHqyXXnpJx48f1+TJkyVJffv2lcViUXl5eS23EEBNKC0t1ZdffqkbN24Y22w2mwYMGCA/Pz9lZGTo9u3bkqTx48dzfwAAAECdQkgG4HtxcnLSc889p4CAALm6uspmsxn7KNIP2J+q/8crOTs7a/Dgwfr000919OhRSTIK+Tdu3Fg3btxQw4YNqx3D/QEAAAB1BSEZgO/NyclJI0eO1NKlS2U2m+/5EA3APlSGX8ePH9fnn39ubO/Xr5+sVqvefPNNIyi7ceOGcnNz1apVq1ppKwAAAHA/sLolgP8Kq9QB9ic8PFy+vr7q3r27JCkyMlJpaWm6ffu2PDw8NH/+fPXo0UPvvfeekpOTdfr0abVp00bFxcUqKyvTtm3bZLVauT8AAACgTiIkAwAAKi8v11NPPaVmzZopIiJCBQUFWrp0qYKDg+Xu7q7w8HDl5+dr3rx5evrpp3Xq1CllZ2fr6NGjatmypcaMGSMHBweVlZXJwYF1gQAAAFD3EJIBAFDP2Ww2mc1mlZaWauTIkXJ0dNTgwYNls9kUGBhofC8wMFBnz55VSEiInnzySTk6OlY7T3l5OTXIAAAAUGdRkwwAgHrObDarrKxMVqtVqampunPnjpYsWaKzZ89W+15CQoIeffRRRUZGKj09XaWlpdX2E5ABAACgLiMkAwAAxlRJq9Wqbdu2qWvXrtq3b58+++yzaot0rF69Wk5OTnr//fdltVprscUAAADA/cV0SwAAYKisKVZaWip/f39JUlhYmLp06VKtGH/lFE0AAADAXtC7BQAAhq+PKJOkkJAQHTlyRFXfq5nN5mojzAAAAIC6jpAMAABU8/WgzGw2a+rUqTp16lS17zGSDAAAAPaE3i0AAPXI962yUDUoS01NVb9+/fToo48+2MYBAAAAtYiaZAAA1BMVFRVGXbHCwkK5uLh85zGVNcoqlZaWUrAfAAAAdomRZAAA1AM2m80IyDZs2KCYmBidPXv2O4+zWCzVPhOQAQAAwF4RkgEAYOeqrkR54sQJHTx4UDt37lRKSorOnz//rcdVHXm2ceNGhYWF1Uh7AQAAgNpASAYAgJ2rDMgiIiIUFBSkJk2aqEuXLlq7dq2SkpKUl5f3jWOqBmQpKSmKjo5W9+7da7TdAAAAQE1y+O6vAACAum7fvn3avn27EhMT1blzZ0nSpk2btGzZMtlsNv3qV7+Sp6enJKm8vNyYZpmSkqKlS5cqPDxcvr6+tdZ+AAAA4EEjJAMAwA5VnWIp3S3A37hxYzVt2tTYFxAQoLKyMoWFhalBgwYaPXq0WrdubQRkmzdvVlRUFAEZAAAA6gWmWwIAYIcqA7J///vfxrarV6+qqKhIZrNZt2/fliQ9//zzatasmXbs2KG3335bd+7ckXQ3IFu4cKEiIiIIyAAAAFAvEJIBAGCn0tLSNGrUKEnSM888o169emnatGn66quv1LBhQ0lSaWmpBg0apDFjxig+Pl45OTmS7oZrsbGxGjRoUK21HwAAAKhJhGQAANipvn37qmHDhkpKSpIkvfrqq/L09NSwYcP09ttva+fOnZo7d67+9a9/adq0afLw8NBHH30kSZoyZYoGDhxYm80HAAAAahQhGQAAdqCioqLa5/Lycjk5Oal37946dOiQJKldu3aKjIzUgAEDFBcXp7i4OJWVlenPf/6zJMnZ2VktW7aUJDk5OdXsBQAAAAC1zFTx9V41AACos/Lz89WiRQvj8xdffKHRo0crMjJSw4YNM7YXFBSoUaNGcnFxkSTFxMQoLS1NSUlJat26dY23GwAAAKhtrG4JAICdeOutt7R582Y98cQTmjFjhqxWq3x8fDR27Fi9++676tOnj9zc3GQ2m+Xu7i6TyaScnBxt2rRJ7733nhITEwnIAAAAUG8x3RIAgDrKZrNV++zj4yNfX1+lp6crICBAcXFxys/PV//+/XXmzBkVFBTIbDbLZrPJZDJJkh566CH17NlTmzdvlre3d21cBgAAAPCDwHRLAADqIJvNJrP57ruu/fv36+bNm2rSpIn69Omj0tJSrVq1SpmZmcrKylJQUJBWrFghb29vJSYmymKxVDtXRUWFEZoBAAAA9RXTLQEAqGMqKiqMgCw6OlrvvPOO3NzcdOrUKfn6+mr27NmaMWOGSkpKlJKSor1796q4uFilpaXGcVURkAEAAACMJAMAoM5avXq1kpKStHLlSvn4+Cg5OVmhoaEaMGCAZs+eLS8vL0nShQsXdO7cOXXv3l0Wi6XaKDQAAAAAd9FDBgCgDiooKNDJkyc1d+5c+fj4aPfu3YqLi9O0adN04MABRUdH68SJE5IkDw8P9ezZUxaLReXl5QRkAAAAwD0w3RIAgDrI1dVVzz77rHr16qWsrCwtXrxYL7/8sn75y1/KxcVFkZGRun79uhYvXqyWLVsax329HhkAAACAu3iVDABAHdSgQQM988wzcnFxUUZGhjp06CA/Pz9JktVq1fDhw2W1WvXII4/UcksBAACAuoGRZAAA1FEODnf/jJ8+fVpFRUUymUy6c+eO9u3bp+HDh2vIkCGSRA0yAAAA4HugcD8AAHXcP//5T40bN05t27ZVSUmJHB0dtX37diNEAwAAAPDdCMkAALAD2dnZ2r17txo3bqyJEyfKwcFBZWVlBGUAAADA90RIBgCAHSIgAwAAAP4zhGQAAAAAAACo96jiCwAAAAAAgHqPkAwAAAAAAAD1HiEZAAAAAAAA6j1CMgAAAAAAANR7hGQAAAAAAACo9wjJAAAAAAAAUO8RkgEAAAAAAKDeIyQDAAAAAABAvUdIBgAAAAAAgHqPkAwAAAAAAAD1HiEZAAAAAAAA6r3/AyBMuZPLz4udAAAAAElFTkSuQmCC", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "=== Médianes comportement ===\n", + " gross_flow_to_aum flow_freq flow_direction_balance n_isin_total avg_holding_months_per_isin exit_rate_per_isin log_aum_qty_mean months_since_last_tx\n", + "cluster_k4 \n", + "0 7.884 0.071 0.000 1.0 11.333 1.000 5.280 69.0\n", + "1 5.348 0.617 -0.006 12.0 28.924 0.667 8.768 3.0\n", + "2 1.159 0.043 -1.000 3.0 60.000 0.400 5.167 27.0\n", + "3 1.477 0.012 -1.000 3.0 12.000 0.714 3.407 127.0\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "=== Médianes allocation ===\n", + " share_asset_fixed_income share_asset_diversified share_asset_equity share_fund_carmignac_patrimoine share_fund_carmignac_investissement share_fund_carmignac_sécurité share_fund_carmignac_emergents\n", + "cluster_k4 \n", + "0 0.767 0.000 0.000 0.000 0.000 0.000 0.000\n", + "1 0.284 0.207 0.155 0.152 0.011 0.018 0.002\n", + "2 0.000 0.372 0.227 0.255 0.000 0.000 0.000\n", + "3 0.000 0.326 0.099 0.169 0.000 0.000 0.000\n" + ] + } + ], + "source": [ + "# ============================================================\n", + "# Feature selection & preprocessing \n", + "# ============================================================\n", + "base_features = [\n", + " \"flow_freq\",\n", + " \"gross_flow_to_aum\",\n", + " \"n_isin_total\",\n", + " \"avg_holding_months_per_isin\",\n", + " \"exit_rate_per_isin\",\n", + " \"flow_direction_balance\",\n", + " \"log_aum_qty_mean\",\n", + " \"months_since_last_tx\",\n", + "]\n", + "all_features = [c for c in base_features if c in dfc.columns]\n", + "\n", + "dfc_clean = dfc.copy()\n", + "\n", + "# --- Diagnostic préalable ---\n", + "vals_ff = dfc_clean[\"flow_freq\"].to_numpy(dtype=float)\n", + "print(f\"flow_freq — min={vals_ff.min():.4f}, max={vals_ff.max():.4f}, \"\n", + " f\"valeurs > 1 : {(vals_ff > 1).sum()}\")\n", + "\n", + "# --- Imputation des NaN par 0 ---\n", + "for col in [\"flow_direction_balance\", \"months_since_last_tx\"]:\n", + " if col in dfc_clean.columns:\n", + " dfc_clean[col] = dfc_clean[col].fillna(0)\n", + "\n", + "# --- Groupe 1 : clip MAD 3 sigma ---\n", + "for col in [\n", + " \"n_isin_total\",\n", + " \"exit_rate_per_isin\",\n", + " \"avg_holding_months_per_isin\",\n", + " \"months_since_last_tx\",\n", + "]:\n", + " if col not in dfc_clean.columns:\n", + " continue\n", + " vals = dfc_clean[col].to_numpy(dtype=float)\n", + " med = np.nanmedian(vals)\n", + " mad = np.nanmedian(np.abs(vals - med)) * 1.4826\n", + " if mad > 0:\n", + " dfc_clean[col] = np.clip(vals, med - 3*mad, med + 3*mad)\n", + " else:\n", + " dfc_clean[col] = np.clip(vals, 0, np.nanpercentile(vals, 95))\n", + "\n", + "# --- Groupe 2 : clip p90 puis log-transform ---\n", + "col = \"gross_flow_to_aum\"\n", + "if col in dfc_clean.columns:\n", + " vals = dfc_clean[col].to_numpy(dtype=float)\n", + " vals = np.clip(vals, 0, np.nanpercentile(vals, 90))\n", + " dfc_clean[col] = np.log1p(vals)\n", + "\n", + "col = \"flow_freq\"\n", + "if col in dfc_clean.columns:\n", + " vals = dfc_clean[col].to_numpy(dtype=float)\n", + " dfc_clean[col] = np.log1p(np.clip(vals, 0, None))\n", + "\n", + "# --- Groupe 3 : log_aum_qty_mean — clip MAD 3 sigma ---\n", + "col = \"log_aum_qty_mean\"\n", + "if col in dfc_clean.columns:\n", + " vals = dfc_clean[col].to_numpy(dtype=float)\n", + " med = np.nanmedian(vals)\n", + " mad = np.nanmedian(np.abs(vals - med)) * 1.4826\n", + " dfc_clean[col] = np.clip(vals, med - 3*mad, med + 3*mad)\n", + "\n", + "# --- Groupe 4 : hhi_isin — clip p90 ---\n", + "col = \"hhi_isin\"\n", + "if col in dfc_clean.columns:\n", + " vals = dfc_clean[col].to_numpy(dtype=float)\n", + " dfc_clean[col] = np.clip(vals, 0, np.nanpercentile(vals, 90))\n", + "\n", + "# --- Construction de X ---\n", + "X_num = dfc_clean[all_features].copy()\n", + "X_num = X_num.loc[:, ~X_num.columns.duplicated()]\n", + "X_num = X_num.fillna(X_num.median())\n", + "\n", + "X_cat = pd.get_dummies(\n", + " dfc_clean[[\"country_grp\", \"region_grp\"]].fillna(\"Unknown\"), drop_first=True\n", + ")\n", + "X = X_num.reset_index(drop=True)\n", + "\n", + "scaler = RobustScaler()\n", + "X_scaled = scaler.fit_transform(X)\n", + "\n", + "# --- Diagnostic ---\n", + "X_df = pd.DataFrame(X_scaled, columns=X.columns)\n", + "extreme = (X_df.abs() > 5).any(axis=1).sum()\n", + "print(f\"Accounts: {X.shape[0]} | Features: {X.shape[1]}\")\n", + "print(f\"Points > 5 std after scaling: {extreme} ({extreme/len(X_df):.1%})\")\n", + "\n", + "extreme_by_feat = (X_df.abs() > 5).sum().sort_values(ascending=False)\n", + "print(\"\\nFeatures with most extreme values (>5 std):\")\n", + "print(extreme_by_feat[extreme_by_feat > 0].to_string())\n", + "\n", + "# --- Clustering K=4 ---\n", + "RESULTS = {}\n", + "for k in [4]:\n", + " km = KMeans(n_clusters=k, n_init=50, random_state=RANDOM_STATE)\n", + " dfc[f\"cluster_k{k}\"] = km.fit_predict(X_scaled)\n", + " RESULTS[k] = {\n", + " \"model\": km,\n", + " \"silhouette\": silhouette_score(X_scaled, dfc[f\"cluster_k{k}\"]),\n", + " \"davies_bouldin\": davies_bouldin_score(X_scaled, dfc[f\"cluster_k{k}\"]),\n", + " }\n", + " print(f\"\\nK={k} | sil={RESULTS[k]['silhouette']:.4f} | db={RESULTS[k]['davies_bouldin']:.4f}\")\n", + "\n", + "print(\"\\n=== Tailles des clusters ===\")\n", + "counts = dfc[\"cluster_k4\"].value_counts().sort_index()\n", + "props = counts / counts.sum() * 100\n", + "print(pd.DataFrame({\"n_comptes\": counts, \"pct\": props.round(1)}))\n", + "\n", + "# --- Heatmap comportement ---\n", + "profile_vars_behavior = [\n", + " \"gross_flow_to_aum\",\n", + " \"flow_freq\",\n", + " \"flow_direction_balance\",\n", + " \"n_isin_total\",\n", + " \"avg_holding_months_per_isin\",\n", + " \"exit_rate_per_isin\",\n", + " \"log_aum_qty_mean\",\n", + " \"months_since_last_tx\",\n", + "]\n", + "profile_vars_behavior = [c for c in profile_vars_behavior if c in dfc.columns]\n", + "\n", + "prof_behavior = plot_heatmap(\n", + " dfc, profile_vars_behavior, \"cluster_k4\",\n", + " title=\"Cluster signatures — Comportement (K=4, robust z-score)\",\n", + " figsize=(14, 4)\n", + ")\n", + "\n", + "print(\"\\n=== Médianes comportement ===\")\n", + "print(prof_behavior.round(3).to_string())\n", + "\n", + "# --- Heatmap allocation (post-clustering, descriptive uniquement) ---\n", + "profile_vars_allocation = [\n", + " c for c in [\n", + " \"share_asset_fixed_income\",\n", + " \"share_asset_diversified\",\n", + " \"share_asset_equity\",\n", + " \"share_fund_carmignac_patrimoine\",\n", + " \"share_fund_carmignac_investissement\",\n", + " \"share_fund_carmignac_sécurité\",\n", + " \"share_fund_carmignac_emergents\",\n", + " ]\n", + " if c in dfc.columns\n", + "]\n", + "\n", + "prof_allocation = plot_heatmap(\n", + " dfc, profile_vars_allocation, \"cluster_k4\",\n", + " title=\"Cluster signatures — Allocation produits (K=4, descriptif post-clustering)\",\n", + " figsize=(12, 4)\n", + ")\n", + "\n", + "print(\"\\n=== Médianes allocation ===\")\n", + "print(prof_allocation.round(3).to_string())" + ] + }, + { + "cell_type": "code", + "execution_count": 199, + "id": "85747735-d0b4-4aa7-9fc2-adf030f92286", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " n_comptes pct\n", + "cluster_k4 \n", + "0 2708 37.7\n", + "1 1174 16.4\n", + "2 1476 20.6\n", + "3 1821 25.4\n" + ] + } + ], + "source": [ + "counts = dfc[\"cluster_k4\"].value_counts().sort_index()\n", + "props = counts / counts.sum() * 100\n", + "print(pd.DataFrame({\"n_comptes\": counts, \"pct\": props.round(1)}))" + ] + }, + { + "cell_type": "code", + "execution_count": 204, + "id": "dc171be2-e066-4352-a0ea-32d7b7b046b0", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " k inertia silhouette davies_bouldin\n", + " 2 20206.150896 0.422448 0.971224\n", + " 3 16684.870723 0.241253 1.542920\n", + " 4 14655.878131 0.231172 1.510868\n", + " 5 13189.616061 0.228827 1.408857\n", + " 6 11997.575028 0.223735 1.416454\n", + " 7 11089.241350 0.229848 1.419999\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "K=4 | sil=0.2312 | db=1.5109\n", + " n_comptes pct\n", + "cluster_k4 \n", + "0 2708 37.7\n", + "1 1174 16.4\n", + "2 1476 20.6\n", + "3 1821 25.4\n", + "\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "=== Médianes comportement K=4 ===\n", + " gross_flow_to_aum flow_freq flow_direction_balance n_isin_total avg_holding_months_per_isin exit_rate_per_isin log_aum_qty_mean months_since_last_tx\n", + "cluster_k4 \n", + "0 7.884 0.071 0.000 1.0 11.333 1.000 5.280 69.0\n", + "1 5.348 0.617 -0.006 12.0 28.924 0.667 8.768 3.0\n", + "2 1.159 0.043 -1.000 3.0 60.000 0.400 5.167 27.0\n", + "3 1.477 0.012 -1.000 3.0 12.000 0.714 3.407 127.0\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "=== Médianes allocation K=4 ===\n", + " share_asset_fixed_income share_asset_diversified share_asset_equity share_fund_carmignac_patrimoine share_fund_carmignac_investissement share_fund_carmignac_sécurité share_fund_carmignac_emergents\n", + "cluster_k4 \n", + "0 0.767 0.000 0.000 0.000 0.000 0.000 0.000\n", + "1 0.284 0.207 0.155 0.152 0.011 0.018 0.002\n", + "2 0.000 0.372 0.227 0.255 0.000 0.000 0.000\n", + "3 0.000 0.326 0.099 0.169 0.000 0.000 0.000\n", + "\n", + "=== Distribution par pays (top 10) ===\n", + "country_grp Belgium FRANCE France Italy Latam Luxembourg Other Spain Switzerland United Kingdom Us Offshore\n", + "cluster_k4 \n", + "0 1.5 0.1 17.1 5.0 12.5 6.1 3.0 5.0 3.6 6.6 39.4\n", + "1 3.9 8.3 32.1 12.7 0.8 4.6 17.7 6.7 4.5 8.3 0.3\n", + "2 0.9 0.5 69.6 2.8 10.0 1.4 3.9 1.6 2.2 6.7 0.5\n", + "3 2.0 0.0 53.0 4.2 2.9 5.1 7.2 2.1 7.3 10.8 5.3\n", + "\n", + "=== Distribution par région ===\n", + "region_grp Belgium FRANCE France Germany Italy LATAM Luxembourg Other Spain Switzerland United Kingdom\n", + "cluster_k4 \n", + "0 1.5 0.1 17.2 0.6 5.0 52.0 6.1 1.9 5.2 3.6 6.7\n", + "1 3.9 8.4 32.5 1.2 12.7 1.2 4.6 15.5 7.2 4.5 8.3\n", + "2 0.9 0.5 69.8 0.9 2.8 10.6 1.4 2.5 1.7 2.2 6.8\n", + "3 2.0 0.0 53.0 4.3 4.2 8.2 5.1 2.6 2.3 7.3 10.9\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# ============================================================\n", + "# K-selection diagnostics\n", + "# ============================================================\n", + "rows = []\n", + "for k in range(2, 8):\n", + " km = KMeans(n_clusters=k, n_init=50, random_state=RANDOM_STATE)\n", + " labels = km.fit_predict(X_scaled)\n", + " rows.append({\n", + " \"k\": k,\n", + " \"inertia\": km.inertia_,\n", + " \"silhouette\": silhouette_score(X_scaled, labels),\n", + " \"davies_bouldin\": davies_bouldin_score(X_scaled, labels),\n", + " })\n", + "df_kdiag = pd.DataFrame(rows)\n", + "print(df_kdiag.to_string(index=False))\n", + "\n", + "fig, axes = plt.subplots(1, 3, figsize=(15, 4))\n", + "for ax, col, title in zip(axes,\n", + " [\"inertia\", \"silhouette\", \"davies_bouldin\"],\n", + " [\"Elbow / Inertia\", \"Silhouette (higher=better)\", \"Davies-Bouldin (lower=better)\"]):\n", + " ax.plot(df_kdiag[\"k\"], df_kdiag[col], marker=\"o\")\n", + " ax.set_title(title)\n", + " ax.set_xlabel(\"K\")\n", + "plt.tight_layout()\n", + "plt.show()\n", + "\n", + "# ============================================================\n", + "# Clustering K=4\n", + "# ============================================================\n", + "RESULTS = {}\n", + "for k in [4]:\n", + " km = KMeans(n_clusters=k, n_init=50, random_state=RANDOM_STATE)\n", + " dfc[f\"cluster_k{k}\"] = km.fit_predict(X_scaled)\n", + " RESULTS[k] = {\n", + " \"model\": km,\n", + " \"silhouette\": silhouette_score(X_scaled, dfc[f\"cluster_k{k}\"]),\n", + " \"davies_bouldin\": davies_bouldin_score(X_scaled, dfc[f\"cluster_k{k}\"]),\n", + " }\n", + " print(f\"K={k} | sil={RESULTS[k]['silhouette']:.4f} | db={RESULTS[k]['davies_bouldin']:.4f}\")\n", + " counts = dfc[f\"cluster_k{k}\"].value_counts().sort_index()\n", + " props = counts / counts.sum() * 100\n", + " print(pd.DataFrame({\"n_comptes\": counts, \"pct\": props.round(1)}))\n", + " print()\n", + "\n", + "# ============================================================\n", + "# Heatmap comportement\n", + "# ============================================================\n", + "prof_behavior = plot_heatmap(\n", + " dfc, profile_vars_behavior, \"cluster_k4\",\n", + " title=\"Cluster signatures — Comportement (K=4, robust z-score)\",\n", + " figsize=(14, 4)\n", + ")\n", + "print(\"\\n=== Médianes comportement K=4 ===\")\n", + "print(prof_behavior.round(3).to_string())\n", + "\n", + "# ============================================================\n", + "# Heatmap allocation (descriptif post-clustering)\n", + "# ============================================================\n", + "prof_allocation = plot_heatmap(\n", + " dfc, profile_vars_allocation, \"cluster_k4\",\n", + " title=\"Cluster signatures — Allocation produits (K=4, descriptif post-clustering)\",\n", + " figsize=(12, 4)\n", + ")\n", + "print(\"\\n=== Médianes allocation K=4 ===\")\n", + "print(prof_allocation.round(3).to_string())\n", + "\n", + "# ============================================================\n", + "# Description géographique post-clustering\n", + "# ============================================================\n", + "print(\"\\n=== Distribution par pays (top 10) ===\")\n", + "geo_country = pd.crosstab(\n", + " dfc[\"cluster_k4\"],\n", + " dfc[\"country_grp\"].fillna(\"Unknown\"),\n", + " normalize=\"index\"\n", + ").round(3) * 100\n", + "print(geo_country.to_string())\n", + "\n", + "print(\"\\n=== Distribution par région ===\")\n", + "geo_region = pd.crosstab(\n", + " dfc[\"cluster_k4\"],\n", + " dfc[\"region_grp\"].fillna(\"Unknown\"),\n", + " normalize=\"index\"\n", + ").round(3) * 100\n", + "print(geo_region.to_string())\n", + "\n", + "# Visualisation heatmap géographique\n", + "fig, axes = plt.subplots(1, 2, figsize=(18, 4))\n", + "\n", + "sns.heatmap(\n", + " geo_country,\n", + " cmap=\"Blues\", annot=True, fmt=\".1f\",\n", + " ax=axes[0],\n", + " cbar_kws={\"label\": \"%\"}\n", + ")\n", + "axes[0].set_title(\"Distribution par pays (% par cluster)\")\n", + "axes[0].set_xlabel(\"Pays\")\n", + "axes[0].set_ylabel(\"Cluster\")\n", + "\n", + "sns.heatmap(\n", + " geo_region,\n", + " cmap=\"Blues\", annot=True, fmt=\".1f\",\n", + " ax=axes[1],\n", + " cbar_kws={\"label\": \"%\"}\n", + ")\n", + "axes[1].set_title(\"Distribution par région (% par cluster)\")\n", + "axes[1].set_xlabel(\"Région\")\n", + "axes[1].set_ylabel(\"Cluster\")\n", + "\n", + "plt.tight_layout()\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 201, + "id": "50ecf35e-de7e-44ae-afee-404186c4d42c", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " flow_freq gross_flow_to_aum n_isin_total \\\n", + "flow_freq 1.000 0.043 0.484 \n", + "gross_flow_to_aum 0.043 1.000 0.087 \n", + "n_isin_total 0.484 0.087 1.000 \n", + "avg_holding_months_per_isin 0.074 -0.019 0.027 \n", + "exit_rate_per_isin -0.066 -0.029 -0.103 \n", + "flow_direction_balance 0.182 0.007 0.038 \n", + "log_aum_qty_mean 0.522 -0.047 0.381 \n", + "months_since_last_tx -0.513 -0.012 -0.229 \n", + "\n", + " avg_holding_months_per_isin exit_rate_per_isin \\\n", + "flow_freq 0.074 -0.066 \n", + "gross_flow_to_aum -0.019 -0.029 \n", + "n_isin_total 0.027 -0.103 \n", + "avg_holding_months_per_isin 1.000 -0.257 \n", + "exit_rate_per_isin -0.257 1.000 \n", + "flow_direction_balance -0.163 0.093 \n", + "log_aum_qty_mean 0.140 0.024 \n", + "months_since_last_tx -0.306 0.159 \n", + "\n", + " flow_direction_balance log_aum_qty_mean \\\n", + "flow_freq 0.182 0.522 \n", + "gross_flow_to_aum 0.007 -0.047 \n", + "n_isin_total 0.038 0.381 \n", + "avg_holding_months_per_isin -0.163 0.140 \n", + "exit_rate_per_isin 0.093 0.024 \n", + "flow_direction_balance 1.000 0.298 \n", + "log_aum_qty_mean 0.298 1.000 \n", + "months_since_last_tx -0.119 -0.389 \n", + "\n", + " months_since_last_tx \n", + "flow_freq -0.513 \n", + "gross_flow_to_aum -0.012 \n", + "n_isin_total -0.229 \n", + "avg_holding_months_per_isin -0.306 \n", + "exit_rate_per_isin 0.159 \n", + "flow_direction_balance -0.119 \n", + "log_aum_qty_mean -0.389 \n", + "months_since_last_tx 1.000 \n" + ] + } + ], + "source": [ + "# Test : corrélations entre features\n", + "corr_matrix = dfc[base_features].corr().round(3)\n", + "print(corr_matrix)" + ] + }, + { + "cell_type": "code", + "execution_count": 202, + "id": "273392b8-c60c-4b19-ab4e-760616d3c246", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "base_features: 8\n", + "share_asset: []\n", + "share_fund: []\n", + "X columns: 8\n", + "X_num columns: 8\n", + "X_cat columns: 20\n" + ] + } + ], + "source": [ + "print(\"base_features:\", len(base_features))\n", + "print(\"share_asset:\", [c for c in all_features if c.startswith(\"share_asset_\")])\n", + "print(\"share_fund:\", [c for c in all_features if c.startswith(\"share_fund_\")])\n", + "print(\"X columns:\", X.shape[1])\n", + "print(\"X_num columns:\", X_num.shape[1])\n", + "print(\"X_cat columns:\", X_cat.shape[1])" + ] + }, + { + "cell_type": "code", + "execution_count": 203, + "id": "d42b5319-c66c-4a7f-aeac-d3044d07f499", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "=== share_fund_ disponibles ===\n", + "['share_fund_carmignac_court_terme', 'share_fund_carmignac_emergents', 'share_fund_carmignac_investissement', 'share_fund_carmignac_patrimoine', 'share_fund_carmignac_portfolio_credit', 'share_fund_carmignac_portfolio_flexible_b', 'share_fund_carmignac_portfolio_global_bon', 'share_fund_carmignac_portfolio_patrimoine', 'share_fund_carmignac_portfolio_sécurité', 'share_fund_carmignac_sécurité']\n", + "\n", + "=== share_asset_ disponibles ===\n", + "['share_asset_alternative', 'share_asset_diversified', 'share_asset_equity', 'share_asset_fixed_income', 'share_asset_private_assets']\n", + "share_fund_carmignac_court_terme: 0.000000\n", + "share_fund_carmignac_emergents: 0.000001\n", + "share_fund_carmignac_investissement: 0.000032\n", + "share_fund_carmignac_patrimoine: 0.011248\n", + "share_fund_carmignac_portfolio_credit: 0.000000\n", + "share_fund_carmignac_portfolio_flexible_b: 0.000000\n", + "share_fund_carmignac_portfolio_global_bon: 0.000000\n", + "share_fund_carmignac_portfolio_patrimoine: 0.000000\n", + "share_fund_carmignac_portfolio_sécurité: 0.000000\n", + "share_fund_carmignac_sécurité: 0.000080\n", + "share_asset_alternative: 0.000000\n", + "share_asset_diversified: 0.027594\n", + "share_asset_equity: 0.009158\n", + "share_asset_fixed_income: 0.130769\n", + "share_asset_private_assets: 0.000000\n" + ] + } + ], + "source": [ + "# Identifier les share_fund_ et share_asset_ les plus discriminantes\n", + "top_share_funds = [c for c in dfc.columns if c.startswith(\"share_fund_\")]\n", + "top_share_assets = [c for c in dfc.columns if c.startswith(\"share_asset_\")]\n", + "\n", + "# Regarder lesquelles varient le plus entre clusters\n", + "print(\"=== share_fund_ disponibles ===\")\n", + "print(top_share_funds)\n", + "print(\"\\n=== share_asset_ disponibles ===\")\n", + "print(top_share_assets)\n", + "\n", + "# Variance inter-cluster pour chaque share variable\n", + "for col in top_share_funds + top_share_assets:\n", + " var_inter = dfc.groupby(\"cluster_k4\")[col].median().var()\n", + " print(f\"{col}: {var_inter:.6f}\")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "7de1a58e-37ec-4d13-9807-5b047ec6ff42", + "metadata": {}, + "outputs": [], + "source": [ + "import subprocess\n", + "subprocess.run([\"jupyter\", \"nbconvert\", \"--to\", \"html\", \"clustering_clean.ipynb\"])" + ] + }, + { + "cell_type": "code", + "execution_count": 206, + "id": "b56a53c8-c1eb-4117-a028-ba9b6c1c45af", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "=== Types d'assets disponibles ===\n", + "Product - Asset Type\n", + "Equity 2023860\n", + "Diversified 1377424\n", + "Fixed Income 948728\n", + "Alternative 214235\n", + "Private Assets 219\n", + "Name: count, dtype: int64\n", + "\n", + "df_month_asset shape: (1745996, 15)\n", + "df_client_asset shape: (13328, 20)\n", + "\n", + "Comptes par asset type:\n", + "Product - Asset Type\n", + "Diversified 4161\n", + "Fixed Income 3934\n", + "Equity 3901\n", + "Alternative 1319\n", + "Private Assets 13\n", + "Name: Registrar Account - ID, dtype: int64\n", + "\n", + "Asset types retenus (>= 50 comptes) : ['Alternative', 'Diversified', 'Equity', 'Fixed Income']\n", + "\n", + "============================================================\n", + "ASSET TYPE : Alternative\n", + "============================================================\n", + " k silhouette davies_bouldin\n", + " 2 0.4568 0.9959\n", + " 3 0.3416 1.1374\n", + " 4 0.2564 1.3750\n", + " 5 0.2815 1.2393\n", + " 6 0.2640 1.3549\n", + "→ K retenu : 2 (silhouette=0.4568)\n", + " n_comptes pct\n", + "cluster_alternative \n", + "0 311 23.6\n", + "1 1008 76.4\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "Médianes — Alternative:\n", + " flow_freq gross_flow_to_aum avg_n_isin_held flow_direction_balance log_aum_qty_mean months_since_last_tx_asset aum_final_to_peak aum_drawdown_last\n", + "cluster_alternative \n", + "0 0.085 1.037 1.000 0.104 5.777 12.0 0.914 0.086\n", + "1 0.069 4.729 0.512 -0.072 5.067 66.0 0.000 1.000\n", + "\n", + "============================================================\n", + "ASSET TYPE : Diversified\n", + "============================================================\n", + " k silhouette davies_bouldin\n", + " 2 0.6029 0.6519\n", + " 3 0.5108 0.8195\n", + " 4 0.4847 0.9830\n", + " 5 0.4697 0.8759\n", + " 6 0.3327 1.1264\n", + "→ K retenu : 2 (silhouette=0.6029)\n", + " n_comptes pct\n", + "cluster_diversified \n", + "0 3368 80.9\n", + "1 793 19.1\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "Médianes — Diversified:\n", + " flow_freq gross_flow_to_aum avg_n_isin_held flow_direction_balance log_aum_qty_mean months_since_last_tx_asset aum_final_to_peak aum_drawdown_last\n", + "cluster_diversified \n", + "0 0.044 3.045 0.625 -0.577 5.064 80.0 0.000 1.000\n", + "1 0.085 0.218 1.000 -0.682 5.156 12.0 0.907 0.093\n", + "\n", + "============================================================\n", + "ASSET TYPE : Equity\n", + "============================================================\n", + " k silhouette davies_bouldin\n", + " 2 0.3701 1.3831\n", + " 3 0.4248 0.9505\n", + " 4 0.2858 1.3678\n", + " 5 0.2587 1.4438\n", + " 6 0.2779 1.3114\n", + "→ K retenu : 3 (silhouette=0.4248)\n", + " n_comptes pct\n", + "cluster_equity \n", + "0 2384 61.1\n", + "1 769 19.7\n", + "2 748 19.2\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "Médianes — Equity:\n", + " flow_freq gross_flow_to_aum avg_n_isin_held flow_direction_balance log_aum_qty_mean months_since_last_tx_asset aum_final_to_peak aum_drawdown_last\n", + "cluster_equity \n", + "0 0.025 3.296 0.576 -0.835 3.976 90.0 0.000 1.000\n", + "1 0.071 0.064 1.056 -0.935 4.554 12.0 0.975 0.025\n", + "2 0.646 3.610 3.588 -0.099 8.474 0.0 0.154 0.846\n", + "\n", + "============================================================\n", + "ASSET TYPE : Fixed Income\n", + "============================================================\n", + " k silhouette davies_bouldin\n", + " 2 0.6758 0.5130\n", + " 3 0.4226 0.8457\n", + " 4 0.4348 0.9977\n", + " 5 0.4601 0.9193\n", + " 6 0.4386 0.9478\n", + "→ K retenu : 2 (silhouette=0.6758)\n", + " n_comptes pct\n", + "cluster_fixed_income \n", + "0 3142 79.9\n", + "1 792 20.1\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "Médianes — Fixed Income:\n", + " flow_freq gross_flow_to_aum avg_n_isin_held flow_direction_balance log_aum_qty_mean months_since_last_tx_asset aum_final_to_peak aum_drawdown_last\n", + "cluster_fixed_income \n", + "0 0.060 6.231 0.48 0.000 5.142 69.0 0.000 1.000\n", + "1 0.182 2.224 1.50 0.472 7.279 2.0 0.998 0.002\n", + "\n", + "============================================================\n", + "RÉSUMÉ — Clustering par asset type\n", + "============================================================\n", + " Alternative : K=2, sil=0.4568, n=1319\n", + " Diversified : K=2, sil=0.6029, n=4161\n", + " Equity : K=3, sil=0.4248, n=3901\n", + " Fixed Income : K=2, sil=0.6758, n=3934\n" + ] + } + ], + "source": [ + "# ============================================================\n", + "# CLUSTERING PAR TYPE D'ASSET\n", + "# ============================================================\n", + "\n", + "# ── 0. Vérification des types d'assets disponibles ────────────────────────\n", + "print(\"=== Types d'assets disponibles ===\")\n", + "print(df_aum[ASSET_COL].value_counts())\n", + "\n", + "# ── 1. Construction du panel par asset type ───────────────────────────────\n", + "# Pour chaque compte x asset type, on agrège les features comportementales\n", + "\n", + "# Merge AUM avec flows pour avoir les flux par asset type\n", + "df_rel_m_asset = df_rel_m.copy()\n", + "df_rel_m_asset = df_rel_m_asset.merge(\n", + " df_aum[[ID_COL, ISIN_COL, \"month\", ASSET_COL]].drop_duplicates(),\n", + " on=[ID_COL, ISIN_COL, \"month\"],\n", + " how=\"left\"\n", + ")\n", + "\n", + "# Panel mensuel par compte x asset type\n", + "tmp_asset = df_rel_m_asset.copy()\n", + "tmp_asset[\"isin_held_flag\"] = (tmp_asset[\"aum_qty\"] > 0).astype(int)\n", + "tmp_asset[\"isin_active_flag\"] = (tmp_asset[\"gross_flow_qty\"] > 0).astype(int)\n", + "\n", + "df_month_asset = (\n", + " tmp_asset.dropna(subset=[ASSET_COL])\n", + " .groupby([ID_COL, ASSET_COL, \"month\"], as_index=False)\n", + " .agg(\n", + " aum_qty = (\"aum_qty\", \"sum\"),\n", + " net_flow_qty = (\"net_flow_qty\", \"sum\"),\n", + " gross_flow_qty = (\"gross_flow_qty\", \"sum\"),\n", + " sub_qty = (\"sub_qty\", \"sum\"),\n", + " red_qty = (\"red_qty\", \"sum\"),\n", + " n_tx = (\"n_tx\", \"sum\"),\n", + " n_isin_held = (\"isin_held_flag\", \"sum\"),\n", + " )\n", + " .sort_values([ID_COL, ASSET_COL, \"month\"])\n", + " .reset_index(drop=True)\n", + ")\n", + "\n", + "df_month_asset[\"active_month\"] = (df_month_asset[\"gross_flow_qty\"] > 0).astype(int)\n", + "df_month_asset[\"flow_direction\"] = np.where(\n", + " df_month_asset[\"gross_flow_qty\"] > 0,\n", + " df_month_asset[\"net_flow_qty\"] / df_month_asset[\"gross_flow_qty\"],\n", + " np.nan\n", + ")\n", + "df_month_asset[\"sub_share\"] = np.where(\n", + " df_month_asset[\"gross_flow_qty\"] > 0,\n", + " df_month_asset[\"sub_qty\"] / df_month_asset[\"gross_flow_qty\"],\n", + " np.nan\n", + ")\n", + "df_month_asset[\"aum_peak\"] = df_month_asset.groupby(\n", + " [ID_COL, ASSET_COL]\n", + ")[\"aum_qty\"].cummax()\n", + "df_month_asset[\"aum_drawdown\"] = np.where(\n", + " df_month_asset[\"aum_peak\"] > 0,\n", + " 1 - df_month_asset[\"aum_qty\"] / df_month_asset[\"aum_peak\"],\n", + " np.nan\n", + ")\n", + "\n", + "print(\"\\ndf_month_asset shape:\", df_month_asset.shape)\n", + "\n", + "# ── 2. Feature engineering par compte x asset type ────────────────────────\n", + "# months_since_last_tx par asset\n", + "reference_date = df_month_asset[\"month\"].max()\n", + "\n", + "last_active_asset = (\n", + " df_month_asset[df_month_asset[\"active_month\"] == 1]\n", + " .groupby([ID_COL, ASSET_COL])[\"month\"]\n", + " .max()\n", + " .reset_index(name=\"last_active_month\")\n", + ")\n", + "last_active_asset[\"months_since_last_tx_asset\"] = (\n", + " (reference_date.to_period(\"M\") - last_active_asset[\"last_active_month\"].dt.to_period(\"M\"))\n", + " .apply(lambda x: x.n)\n", + ")\n", + "\n", + "df_client_asset = (\n", + " df_month_asset.groupby([ID_COL, ASSET_COL], as_index=False)\n", + " .agg(\n", + " n_months = (\"month\", \"nunique\"),\n", + " n_active_months = (\"active_month\", \"sum\"),\n", + " flow_freq = (\"active_month\", \"mean\"),\n", + " aum_qty_mean = (\"aum_qty\", \"mean\"),\n", + " aum_qty_max = (\"aum_qty\", \"max\"),\n", + " aum_qty_last = (\"aum_qty\", \"last\"),\n", + " gross_flow_qty_sum = (\"gross_flow_qty\", \"sum\"),\n", + " net_flow_qty_sum = (\"net_flow_qty\", \"sum\"),\n", + " n_tx_total = (\"n_tx\", \"sum\"),\n", + " avg_n_isin_held = (\"n_isin_held\", \"mean\"),\n", + " flow_direction_mean = (\"flow_direction\", \"mean\"),\n", + " sub_share_mean = (\"sub_share\", \"mean\"),\n", + " aum_drawdown_last = (\"aum_drawdown\", \"last\"),\n", + " )\n", + ")\n", + "\n", + "# Merge months_since_last_tx\n", + "df_client_asset = df_client_asset.merge(\n", + " last_active_asset[[ID_COL, ASSET_COL, \"months_since_last_tx_asset\"]],\n", + " on=[ID_COL, ASSET_COL], how=\"left\"\n", + ")\n", + "max_months = df_client_asset[\"months_since_last_tx_asset\"].max()\n", + "df_client_asset[\"months_since_last_tx_asset\"] = (\n", + " df_client_asset[\"months_since_last_tx_asset\"].fillna(max_months + 1)\n", + ")\n", + "\n", + "# Ratios protégés\n", + "df_client_asset[\"gross_flow_to_aum\"] = np.where(\n", + " df_client_asset[\"aum_qty_mean\"] > 1,\n", + " df_client_asset[\"gross_flow_qty_sum\"] / df_client_asset[\"aum_qty_mean\"],\n", + " np.nan\n", + ")\n", + "df_client_asset[\"flow_direction_balance\"] = np.where(\n", + " df_client_asset[\"gross_flow_qty_sum\"] > 0,\n", + " df_client_asset[\"net_flow_qty_sum\"] / df_client_asset[\"gross_flow_qty_sum\"],\n", + " np.nan\n", + ")\n", + "df_client_asset[\"aum_final_to_peak\"] = np.where(\n", + " df_client_asset[\"aum_qty_max\"] > 0,\n", + " np.clip(df_client_asset[\"aum_qty_last\"] / df_client_asset[\"aum_qty_max\"], 0, 1),\n", + " np.nan\n", + ")\n", + "df_client_asset[\"log_aum_qty_mean\"] = np.log1p(\n", + " df_client_asset[\"aum_qty_mean\"].clip(lower=0)\n", + ")\n", + "\n", + "# Filtre qualité\n", + "df_client_asset = df_client_asset[\n", + " (df_client_asset[\"n_months\"] >= 6) &\n", + " (df_client_asset[\"aum_qty_mean\"] > 0)\n", + "].copy()\n", + "\n", + "print(\"df_client_asset shape:\", df_client_asset.shape)\n", + "print(\"\\nComptes par asset type:\")\n", + "print(df_client_asset.groupby(ASSET_COL)[ID_COL].nunique().sort_values(ascending=False))\n", + "\n", + "# ── 3. Sélection des asset types avec suffisamment de comptes ─────────────\n", + "min_accounts = 50\n", + "asset_counts = df_client_asset.groupby(ASSET_COL)[ID_COL].nunique()\n", + "valid_assets = asset_counts[asset_counts >= min_accounts].index.tolist()\n", + "print(f\"\\nAsset types retenus (>= {min_accounts} comptes) : {valid_assets}\")\n", + "\n", + "# ── 4. Features pour le clustering par asset ──────────────────────────────\n", + "asset_features = [\n", + " \"flow_freq\",\n", + " \"gross_flow_to_aum\",\n", + " \"avg_n_isin_held\",\n", + " \"flow_direction_balance\",\n", + " \"log_aum_qty_mean\",\n", + " \"months_since_last_tx_asset\",\n", + " \"aum_final_to_peak\",\n", + " \"aum_drawdown_last\",\n", + "]\n", + "\n", + "# ── 5. Clustering par asset type ──────────────────────────────────────────\n", + "ASSET_RESULTS = {}\n", + "\n", + "for asset in valid_assets:\n", + " print(f\"\\n{'='*60}\")\n", + " print(f\"ASSET TYPE : {asset}\")\n", + " print(f\"{'='*60}\")\n", + "\n", + " df_a = df_client_asset[df_client_asset[ASSET_COL] == asset].copy()\n", + " feats = [c for c in asset_features if c in df_a.columns]\n", + "\n", + " # Preprocessing\n", + " d = df_a.copy()\n", + " d[\"flow_direction_balance\"] = d[\"flow_direction_balance\"].fillna(0)\n", + "\n", + " for col in [\"avg_n_isin_held\", \"months_since_last_tx_asset\",\n", + " \"aum_drawdown_last\", \"aum_final_to_peak\"]:\n", + " if col not in d.columns:\n", + " continue\n", + " vals = d[col].to_numpy(dtype=float)\n", + " med = np.nanmedian(vals)\n", + " mad = np.nanmedian(np.abs(vals - med)) * 1.4826\n", + " if mad > 0:\n", + " d[col] = np.clip(vals, med - 3*mad, med + 3*mad)\n", + " else:\n", + " d[col] = np.clip(vals, 0, np.nanpercentile(vals, 95))\n", + "\n", + " for col in [\"gross_flow_to_aum\"]:\n", + " if col not in d.columns:\n", + " continue\n", + " vals = d[col].to_numpy(dtype=float)\n", + " d[col] = np.log1p(np.clip(vals, 0, np.nanpercentile(vals, 90)))\n", + "\n", + " for col in [\"flow_freq\"]:\n", + " if col not in d.columns:\n", + " continue\n", + " vals = d[col].to_numpy(dtype=float)\n", + " d[col] = np.log1p(np.clip(vals, 0, None))\n", + "\n", + " X_a = d[feats].fillna(d[feats].median()).to_numpy()\n", + " X_a_scaled = RobustScaler().fit_transform(X_a)\n", + "\n", + " # K-selection\n", + " best_k = 2\n", + " best_sil = -1\n", + " rows_k = []\n", + " max_k = min(6, len(df_a) // 50) # K max raisonnable selon taille\n", + "\n", + " for k in range(2, max_k + 1):\n", + " km = KMeans(n_clusters=k, n_init=30, random_state=RANDOM_STATE)\n", + " labels = km.fit_predict(X_a_scaled)\n", + " sil = silhouette_score(X_a_scaled, labels)\n", + " db = davies_bouldin_score(X_a_scaled, labels)\n", + " rows_k.append({\"k\": k, \"silhouette\": round(sil, 4), \"davies_bouldin\": round(db, 4)})\n", + " if sil > best_sil:\n", + " best_sil = sil\n", + " best_k = k\n", + "\n", + " df_k = pd.DataFrame(rows_k)\n", + " print(df_k.to_string(index=False))\n", + " print(f\"→ K retenu : {best_k} (silhouette={best_sil:.4f})\")\n", + "\n", + " # Clustering final\n", + " km_final = KMeans(n_clusters=best_k, n_init=50, random_state=RANDOM_STATE)\n", + " df_a[f\"cluster_{asset.lower().replace(' ','_')}\"] = km_final.fit_predict(X_a_scaled)\n", + " cluster_col = f\"cluster_{asset.lower().replace(' ','_')}\"\n", + "\n", + " # Tailles\n", + " counts = df_a[cluster_col].value_counts().sort_index()\n", + " props = counts / counts.sum() * 100\n", + " print(pd.DataFrame({\"n_comptes\": counts, \"pct\": props.round(1)}))\n", + "\n", + " # Heatmap comportement\n", + " profile_vars_asset = [c for c in asset_features if c in df_a.columns]\n", + " prof = plot_heatmap(\n", + " df_a, profile_vars_asset, cluster_col,\n", + " title=f\"Cluster signatures — {asset} (K={best_k}, robust z-score)\",\n", + " figsize=(14, 4)\n", + " )\n", + " print(f\"\\nMédianes — {asset}:\")\n", + " print(prof.round(3).to_string())\n", + "\n", + " ASSET_RESULTS[asset] = {\n", + " \"df\": df_a,\n", + " \"cluster_col\": cluster_col,\n", + " \"k\": best_k,\n", + " \"silhouette\": best_sil,\n", + " \"profile\": prof,\n", + " }\n", + "\n", + "# ── 6. Résumé global ──────────────────────────────────────────────────────\n", + "print(\"\\n\" + \"=\"*60)\n", + "print(\"RÉSUMÉ — Clustering par asset type\")\n", + "print(\"=\"*60)\n", + "for asset, res in ASSET_RESULTS.items():\n", + " print(f\" {asset:20s} : K={res['k']}, sil={res['silhouette']:.4f}, \"\n", + " f\"n={len(res['df'])}\")" + ] + }, + { + "cell_type": "code", + "execution_count": 207, + "id": "78b9b46c-577c-4e00-80ef-07e4aeb807be", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Colonnes disponibles : ['Registrar Account - ID', 'cluster_k4', 'cluster_alternative', 'cluster_diversified', 'cluster_equity', 'cluster_fixed_income']\n", + "Shape : (7179, 6)\n" + ] + }, + { + "data": { + "image/png": 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ys/6T5jTSw+vauXNn833/6quvavXq1Qmun9D8evHleDdu3NCQIUNUp04deXt7q1atWnrnnXfM762vr69Onz6t/fv3m3O5R+dkDw4O1siRI1W3bl15e3vrlVde0bRp0xQdHR3nuDNnztScOXPUoEEDlS5dWmfOnEnwHMLDwzVixAhVrVpV5cuXV+/evRUQEBAnF03Izz//rGbNmpnPadiwYQlOlXHs2DG1b99eZcqUka+vrxYuXGixPCIiQt9//73atGmjihUrqly5curYsaP27t2bZByS5O3trRw5cpDLAXju0fMMSGVbtmxRwYIFVbZs2Wfaz2effably5erUaNGeuutt/TXX39p6tSpOnPmjCZPnmyx7vnz59W/f3+1b99efn5+Wrp0qfr166cZM2aoZs2akh5+sb1p0yY1btxYHh4eunnzphYtWqTOnTvrt99+U968eZMdm52dnb7++mu1bNlSX375pSZNmiTpYXJx+vRpzZs3L1lP9q1evVoFChRQmTJlZDKZlDFjRq1Zs0bdu3dPcJuiRYvq/fff14QJE/T666+rYsWKkmTuGbVnzx716NFD3t7eeu+992RnZ6dly5bpjTfe0IIFC1SmTBmL/fXr108FCxZU//79LT78//fff+rXr59ee+018zUdPHiwSpUqpZdffjnZ1zSpeB/l5OSkBg0a6Pfff9ewYcMsnkDbtGmTIiIi1LRpU0kPiyLvvPOODh06pHbt2qlo0aI6deqUfvrpJ50/f14//PBDotf+yJEjypEjR5xhZkqXLq3Zs2erSJEiunjxonbs2KHhw4dLkqZOnaq8efPGebI0uT744AO5u7vrww8/1J9//ql58+YpODhYY8eONa+zcOFCvfzyy/L19ZWjo6O2bNmiYcOGyTAMderUyWJ/586d04cffqjXX39d7dq1U+HChRM89q5du9SrVy+5ubmpa9euyp07t86cOaOtW7fqjTfeeKrzedSXX36pDRs2qHPnzipatKiCgoJ06NAhnTlzRqVKlVLv3r0VEhKia9eumYujsQXIJ30v9+7dq3Xr1qlTp07KmTNnokMFjRs3TjNmzJCPj49q164tf39/devWLU7RMj7Lli3TkCFDVLp0aQ0YMECBgYGaO3euDh8+rBUrVlgUWaOiotS9e3eVLVtWH330kXbs2KGJEycqKipK/fr1M683d+5c+fr6qkWLFnrw4IF+++039evXT1OnTlW9evWSjKlUqVLatGlTkusBAAA8C3K65Od0CSlfvrwKFCig3bt3J7hO06ZN9fPPP2vr1q1q0qSJuT0sLExbtmyRn5+fuXfXihUrNHjwYNWqVUsDBw5UWFiYFi5cqI4dO2r58uXmoQmlh0XL2IcpBw0apIwZMyoiIkLdunVTRESEOnfurNy5cysgIEBbt25VcHBwvMMYvvLKK8qaNatGjRplHp4ysYcIkxvjzp071bdvXxUrVkwffvihbt++rSFDhuill15K1rU9cuSITCaTxSgm2bNnN88R3L9/fx05ckQnTpzQZ599Julh8a927dqqXLlyso7xqNT4rP8kOc2yZcv0ySef6OWXX1avXr2UNWtWnThxQjt27FCLFi2e+Hwe17dvX/3777/q3Lmz3N3ddevWLe3atUtXr16Vh4eHPvnkEw0fPlyZM2dW7969JUm5c+eW9PBe7dy5swICAtS+fXvly5dPR44c0fjx43Xjxg19+umncc7l/v37ateunZydnZU9e/YE4xo8eLDWrVunVq1aqWzZsjpw4IB69uyZrHOaOHGiJk2apBo1aqhDhw46d+6cFi5cqL///lsLFy60uHfu3Lmjnj17qkmTJmrWrJnWrVunoUOHysnJyfwgcGhoqBYvXqzmzZurbdu2unv3rpYsWaLu3btr8eLFyZpOo2TJkjp8+HCy4gcAmzEApJqQkBDDZDIZ7777bpxld+7cMQIDA83/wsLCzMsmTJhgmEwm8+sTJ04YJpPJ+PTTTy32MXr0aMNkMhl79uwxt/n4+Bgmk8nYsGGDRRw1a9Y0WrdubW67f/++ERUVZbG/ixcvGt7e3sakSZMs2kwmk7F06dIkz/eXX34xTCaTsXLlSuPPP/80SpQoYYwcOTLJ7QzDMCIiIowqVaoY48ePN7cNGDDAaNmyZZx1O3fubHTu3Nn8+q+//oo3xujoaKNhw4bG22+/bURHR5vbw8LCDF9fX+Ott94yt8Ve8wEDBsQ5Xuw1PXDggLktMDDQ8Pb2NkaPHm1uS+41TShewzCMQYMGGT4+PubXO3bsMEwmk/HHH39YrNejRw+jfv365tcrVqwwihcvbhGjYRjGwoULDZPJZBw6dCjOsR7VoUMHw8/PL067v7+/UadOHcNkMhkmk8no27evERUVZVy4cMEoU6aMceTIkUT3G5/Ya927d2+L9qFDhxomk8k4ceKEue3Rn4tYb7/9tsW5G8b/v0fbt29P8viRkZGGr6+v4ePjY9y5c8di2aP3yeM/h4n9LJhMJmPChAnm1xUrVjSGDRuWaBw9e/a0eK9jPcl7aTKZjOLFixunT59O9FiGYRg3btwwSpYsGef30cSJEw2TyWQMGjTI3LZ3717DZDIZe/fuNQzj4c9n9erVjebNmxvh4eHm9bZs2WKYTCbj+++/N7cNGjTIMJlMxvDhw81t0dHRRs+ePY1SpUoZgYGB5vbH39+IiAijefPmRteuXS3afXx8LOKLNWXKFMNkMhk3b95M8vwBAACeBjld8nK62GPMmDEjwXXeeecdw2QyGSEhIYZhxP3MGR0dbdSuXdvo27evxXZr1661yMdCQ0ONSpUqGZ999pnFejdu3DAqVqxo0R772fSbb76xWPf48eOGyWQy1q1bl+h5Pf45NKHzXLp0qWEymYyLFy8+cYytWrUyatasaQQHB5vbdu7caZhMpnjzhcfVqVMnzjUzDMPYvXu3UblyZXMuF/s+Hjp0yChTpoxx6dKlJPf9uNT4rP8kOU1wcLBRvnx5o23bthZ5SWwcj8b56LV7/F6L9fjPxp07d5K8jw3DMJo1a2bxnUSsyZMnG+XKlTPOnTtn0f7NN98YJUqUMK5cuWJx3AoVKlhcs4QcO3bM4j2MNXjw4Di56OP3YmBgoFGqVCnj7bfftvh9MX/+fMNkMhlLliwxt3Xu3NkwmUzGrFmzzG337983WrVqZVSvXt2IiIgwDONhTn3//n2LWO7cuWPUqFHDGDJkiEX74/HF+vzzz40yZcokee4AYEsM2wikotDQUEmK9wm9Ll26qHr16uZ/P//8c4L72bZtmyTprbfesmh/++23LZbHcnNz0yuvvGJ+7eLiotatW+v48eO6ceOGpIdjt8cOzxAVFaXbt28rc+bMKly4sI4fP/6kpypJev3111WrVi2NGDFCH3/8sTw9PTVgwIBkbbt9+3YFBQWpefPm5rbmzZvL398/3mEtkuPEiRM6f/68WrRoodu3b+vWrVu6deuW7t27p+rVq+vAgQMWQydIMo///rhixYpZDIPh6uqqwoUL6+LFi+a21Lim1apVU86cObV27Vpz2507d7R7925zrzPp4UTWRYsWVZEiRczneevWLVWrVk2S4gxP8bigoKB4n3Lz8vLSxo0btWTJEm3cuFETJkyQvb29xowZo4YNG6pcuXLauHGjWrZsKV9f33iH60jI4z3HYifc3r59u7nt0TnLQkJCdOvWLVWpUkUXL160GE5Fkjw8PFS7du0kj3v8+HFdunRJXbt2jTNXQUpNVpwtWzYdPXo0wSENE/Ok72XlypVVrFixJPe7Z88eRUZGmocjjfXoROcJOXbsmAIDA9WhQweLuQfq1aunIkWKaOvWrXG2efT9tbOzU6dOnfTgwQPt2bPH3P7o+3vnzh2FhISoYsWKyf55iX3/bt++naz1AQAAnhQ5XfJzuqTEXsO7d+/Gu9zOzk6NGzfWtm3bLNZZt26d8ubNax61Y/fu3QoODlazZs0sPi/b29urbNmy8eY+HTp0sHjt4uIi6WGvr/iGiXxWyY3x+vXrOnHihPz8/Cx6u9WsWTNZn/Glh7nc43mNJFWvXl1btmzRr7/+qq1bt+qTTz5RdHS0RowYobfeekvu7u5asGCBGjdurEaNGsUZmi8xKf1ZP7k5za5du3T37l317NkzzpxoKZHLZcyYUU5OTtq/f7/u3LnzxNuvX79eFStWVLZs2Sze9xo1aigqKkoHDhywWL9hw4ZydXVNcr+xw1g+TS63e/duPXjwQF27drUYorNt27ZycXGJ87vH0dFRr7/+uvm1s7OzXn/9dQUGBpqnIXBwcDCPjBMdHa2goCBFRkbK29v7iXK58PDwVPn5A4CUwrCNQCqKHcIhvrHhv/rqK929e1c3b97URx99lOh+Ll++LHt7exUoUMCiPU+ePMqWLZsuX75s0V6wYME4HxwLFSpk3leePHkUHR2tuXPnasGCBbp06ZLF2PE5cuRI7inG8fXXX6tBgwa6c+eOfvnlF4sPzIlZtWqVPDw85OzsrP/++0+SVKBAAWXKlEmrV69+qoTt/PnzkqRBgwYluE5ISIhF0ejR4T0eFd/8BdmzZ7f4QJ0a19TR0VENGzbUmjVrFBERIWdnZ23cuFEPHjywKJ79999/OnPmTIKT7T46b0FCEip6ZciQQaVLlza/3rNnj3bt2qX169fr7NmzGjBggIYNG2YegjFfvnx69dVXkzxewYIFLV4XKFBA9vb2FvMEHDp0SBMnTtSff/4Z50N1SEiIRYKZ0Hv3uNiCp8lkStb6T2PgwIEaPHiw6tWrp1KlSqlu3bpq3bq1PD09k9z2Sd/L5J73lStXJCnO75EcOXIkOjzIo9vGNxRmkSJF4swhaG9vH+dcY7d99PfVli1b9OOPP+rEiRMWc30kN/GNvWdTqugJAADwOHK65Od0SYm9hokNddi0aVP99NNP+uOPP9SiRQvdvXtX27Zt0+uvv26+HrF5XkLDrccWxmI5OjrGGQLR09NTb731lmbPnq3Vq1erUqVK8vX1VcuWLeMdsvFJJTfG2M/Zj+dGkp6oCJpQLpclSxaL4UaXLl2qmzdvqmfPntq9e7f+97//6X//+5+khzlM4cKFzQ/tJSQ1PusnN6e5cOGCJJmnTkhpzs7OGjhwoMaMGaOaNWuqbNmyqlevnlq3bq08efIkuf1///2nkydPJpjL3bp1y+L1k+Ry9vb2cdaP776Jb1vpYd72KGdnZ3l6esb53ePm5hbnYYFHf/eUK1dOkrR8+XLNmjVL586d04MHD574nMjlALwIKJ4BqShr1qzKkydPvD2nYj/APj6hcGJS8kPFlClT9P333+vVV19Vv379lD17dtnb2+vrr79Ods+h+Ozbt8/8wfjUqVMqX758ktuEhoZqy5Ytun//vho2bBhn+Zo1a9S/f/8nPv/Y8/j4448THHP78Q+Fjz+9Fit2bP3EpNY1bdasmRYtWqTt27erQYMGWr9+vYoUKaLixYub14mOjpbJZDLPn/W4pMbLz5EjR4KTBT8qKipKX3/9tXr06KG8efNq8uTJKl++vLlY9vrrr2v16tXJKp497vH398KFC3rzzTdVpEgRDR48WPny5ZOTk5O2bdumOXPmxOk1mFJJfXLji/XolxSxmjZtqkqVKun333/Xrl27NHPmTE2fPl0TJ05U3bp1Ez3Ok76XqX3eqeXgwYN65513VLlyZX355ZfKkyePnJyctHTpUq1ZsyZZ+4i9Z3PmzJmaoQIAgHSMnC55OV1ynD59Wrly5YpT3HpUuXLl5O7urnXr1qlFixbasmWLwsPDLR4cjD23sWPHxlvQeDx3e7SH3qMGDx4sPz8/bd68Wbt27dKIESM0depU/frrr8mebywhTxrjs0huLhcaGqrvvvtOH3/8sTJnzqw1a9aoUaNGatCggSSpUaNGWr16dZLFs+R40s/6tsrlHs8pJenNN9+Ur6+vNm3apJ07d+r777/XtGnT9NNPP6lkyZKJHic6Olo1a9ZMcN722CJUrBc1l1u5cqUGDx6sBg0aqFu3bsqVK5ccHBw0depUi9F5EhMcHKxMmTK9sNcAQPpA8QxIZfXq1dPixYv1119/qUyZMk+1D3d3d0VHR+u///5T0aJFze03b95UcHBwnMl0//vvPxmGYfEBMfbJt9h1N2zYoKpVq+rrr7+22DY4OPipv4i+fv26RowYoVq1asnJyUljxoxRrVq1Ep3sV5I2btyo+/fva+jQoXGOfe7cOX333Xc6dOiQxbCJj0rog3Ds03AuLi6qUaPGU5zRk0nuNX3ShLly5crKkyeP1q5dqwoVKmjv3r3miYljFShQQP7+/qpevfpTJeRFihTRxo0bk1xv4cKFunv3rrp16ybp4Xvu5uZmXu7m5pbsoQr/++8/iycW//vvP0VHR5ufVPvjjz8UERGhH3/8Ufnz5zevl9QQlEmJPeapU6ee6L6I7Z31eGIa+yTf49zc3NSpUyd16tRJgYGB8vPz05QpU8zFs4Tep2d9LxMSew0vXLhgcd1v376d5JAksdueO3cuzlOU586ds3h/pIdJ48WLFy16qp07d06S5e+gDBkyaObMmeYhP6SHT8Mm16VLl5QzZ85kDXUCAADwtMjpks7pknLkyBFduHBBLVu2THLdJk2aaO7cuQoNDdXatWvl7u5u7u0i/f/n+Vy5cj1znufl5SUvLy+9++67Onz4sDp06KCFCxeqf//+z7Tf5MYY+zk6dvSVR8V+fk5KkSJFklXAnTx5sjw8PMzvwfXr1y2KQW5ubjpx4kSS+7HWZ/34xPbcPH36dLJ6XcWKHdby8aH/H+919ehx3n77bb399ts6f/68WrdurVmzZumbb76RlHgud+/evRT//iF//vyKjo7WpUuXLApw8d038W0rSWfPnrXIAyMiInTp0qU4sV6/fl337t2zeNA4vt89np6emjRpksW1mDBhQrLP6dKlS3F6wwHA84Y5z4BU1r17d2XKlEmffPKJbt68GWd5cp4IjP2y/aeffrJonz17tsXyWNevX9fvv/9ufh0aGqoVK1aoRIkS5qfeHBwc4hx73bp1TzVHU6zPP/9c0dHRGjlypL766is5Ojrq008/TfIcV61aJU9PT3Xo0EGNGze2+NetWzdlzpxZq1evTnD7TJkySYpb1PD29laBAgU0a9aseMfVf3zIhGeV3GuaULwJsbe3V+PGjbVlyxatWrVKkZGRFk9eSg8TzICAAP36669xtg8PD493mJlHlStXTnfu3En0KbGgoCBNnDhRH330kbmHXu7cuXX27FnzOmfOnFHu3LmTdV6Pzwkxf/58SVKdOnUk/f/TmI9e05CQkGdOuEqVKiUPDw/NnTs3znuQ2L3q4uKinDlz6uDBgxbtCxYssHgdFRUVJynLlSuX3NzcLIYryZQpU5z1pGd/LxNSvXp1OTo6xpnLILG5OWJ5e3srV65c+uWXXyzOYdu2bTpz5ozq1asXZ5tH92sYhn7++Wc5OTmZi28ODg6ys7Oz6Ll36dIlbd68Odnn9M8//1h8kQIAAJAayOmSzukSc/nyZQ0ePFhOTk7mh/AS07RpU0VERGj58uXasWOHmjRpYrG8du3acnFx0dSpUy2Gi4uVnDwvNDRUkZGRFm0mk0n29vYWn3efVnJjdHNzU4kSJbR8+XKL3GDXrl36999/k3WscuXK6fTp04nGfe7cOc2fP1+ffvqpudgRXy6XnKEJJet81o9PrVq1lCVLFk2dOlX379+3WJbYPeru7i4HB4c4c449nhuFhYXF2W+BAgWUJUuWOLlcfPl8kyZNdOTIEfMcZY8KDg6Oc88lV61atSTFzT1jc+jE1KhRQ05OTpo3b57FNVqyZIlCQkLi/O6JjIzUokWLzK8jIiK0aNEiubq6qlSpUpLiz9WPHj2qP//8M9nndPz4cVWoUCHZ6wOALdDzDEhlhQoV0jfffKMPP/xQjRs3VosWLVS8eHEZhqFLly5pzZo1sre3T3RYiOLFi8vPz0+LFi1ScHCwKleurL///lvLly9XgwYN4gyrUKhQIX366af6+++/lStXLi1dulSBgYEaNWqUeZ169epp8uTJGjJkiMqXL69Tp05p9erVyZqTKT5Lly7V1q1bNXr0aPO5fPbZZ/roo4+0YMECiwmFHxUQEKB9+/apS5cu8S53dnZW7dq1tX79en322WdycnKKs06BAgWULVs2/fLLL8qSJYsyZ86sMmXKyNPTUyNGjFCPHj3UvHlztWnTRnnz5jUf08XFRVOmTHmq841Pcq9pYvEmpEmTJpo3b54mTJggk8lk8bSqJLVq1Urr1q3Tl19+qX379qlChQqKiorS2bNntX79es2YMcNi3rL4Ynd0dNTu3bstJgd+1Pfffy+TyWSRvDZs2FCTJ0/Wl19+KXd3dy1atEiDBw9OzuXSpUuX1Lt3b9WuXVt//vmnVq1apebNm5uHo6xZs6acnJzUu3dvtW/fXnfv3tXixYuVK1cu8yTpT8Pe3l5Dhw7VO++8o9atW6tNmzbKkyePzp49q3///VczZ85McNu2bdtq2rRp+vTTT+Xt7a2DBw/GeSL07t27qlu3rho1aqTixYsrc+bM2r17t/7++2+La1OqVCmtXbtWo0aNUunSpZU5c2b5+vo+83uZkNy5c6tr166aNWuW+bqfPHlS27dvV86cORPt5ebk5KSBAwdqyJAh6ty5s5o1a6bAwEDNnTtX7u7uevPNNy3Wz5Ahg3bs2KFBgwapTJky2rFjh7Zu3arevXube4nVrVtXs2fPVvfu3dW8eXMFBgZqwYIFKlCggE6ePJnk+QQGBurkyZNxJs0GAABIaeR0ied0jzp+/LhWrlwpwzAUHBysv//+Wxs3bpSdnZ3Gjh1rMfR8QkqVKqWCBQvq22+/VURERJwHB11cXDR06FB9/PHHatOmjZo2bSpXV1dduXJF27ZtU4UKFfTFF18keoy9e/fqq6++UuPGjVWoUCFFRUVp5cqVcnBwUKNGjZKMMSlPEuOAAQPUq1cvdezYUa+++qqCgoI0f/58vfzyy8l6cK5+/fr64YcftH//fnOR5XGjRo1S06ZNLXpONmrUSO+++67Gjx8v6eEcZcnJj63xWT8hLi4uGjJkiD777DO99tprat68ubJlyyZ/f3+Fh4drzJgx8W6XNWtWNW7cWPPnz5ednZ08PT21devWOPNJnz9/Xm+++aYaN26sYsWKycHBQZs2bdLNmzfVrFkz83qlSpXSwoUL9cMPP6hgwYJydXVV9erV1a1bN/3xxx/q3bu3/Pz8VKpUKYWFhenUqVPasGGDNm/e/FSjZnh7e6tRo0b66aefFBQUpLJly+rAgQPmHmGJ5XKurq7q1auXJk2apO7du8vX11fnzp3TggULVLp06Ti9Qd3c3DR9+nRdvnxZhQoV0tq1a3XixAkNHz7c/H1MvXr1tHHjRvXp00f16tXTpUuX9Msvv6hYsWLJumePHTumoKAg1a9f/4mvBQBYE8UzwAoaNGig1atXa9asWdq1a5eWLl0qOzs75c+fX3Xr1lWHDh2STCJGjBghDw8PLV++XJs2bVLu3LnVq1cvvffee3HWLVSokD7//HONHTtW586dk4eHh7799lvVrl3bvE7v3r0VFham1atXa+3atSpZsqSmTp2qcePGPfH5Xbt2TaNGjZKPj4/8/PzM7S1bttTGjRv1zTffqE6dOvEmcWvXrlV0dLR8fHwS3L+Pj482bNig7du3x/vhysnJSaNHj9b48eM1dOhQRUZGatSoUfL09FTVqlW1aNEi/fDDD5o/f77u3bunPHnyqEyZMgkWiZ5Wcq9pYvEmpEKFCsqXL5+uXr0aJ3mUHhaEJk+erDlz5mjlypX6/ffflSlTJnl4eKhLly4WQ2rEJ3fu3KpTp47WrVsX73U5efKkFi9erMWLF1u0e3l5adSoUZo4caLu3r2rjh07Jvu6fvfdd/r+++81btw4OTo6qnPnzvr444/Ny4sUKaIJEybou+++05gxY5Q7d25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+ "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "============================================================\n", + "Global x Alternative\n", + "============================================================\n", + "\n", + "% par cluster global (chaque ligne somme à 100%) :\n", + " Non exposé Asset C0 Asset C1\n", + "Global C0 91.1 1.1 7.8\n", + "Global C1 48.7 10.7 40.5\n", + "Global C2 86.5 6.2 7.3\n", + "Global C3 93.2 0.9 5.9\n", + "\n", + "% par cluster asset (chaque colonne somme à 100%) :\n", + " Non exposé Asset C0 Asset C1\n", + "Global C0 41.0 11.0 23.5\n", + "Global C1 9.5 47.9 52.7\n", + "Global C2 21.2 34.6 12.0\n", + "Global C3 28.2 6.5 11.8\n", + "\n", + "============================================================\n", + "Global x Diversified\n", + "============================================================\n", + "\n", + "% par cluster global (chaque ligne somme à 100%) :\n", + " Non exposé Asset C0 Asset C1\n", + "Global C0 64.2 33.9 1.8\n", + "Global C1 21.1 61.7 17.2\n", + "Global C2 31.6 40.4 27.9\n", + "Global C3 40.9 54.0 5.1\n", + "\n", + "% par cluster asset (chaque colonne somme à 100%) :\n", + " Non exposé Asset C0 Asset C1\n", + "Global C0 54.4 28.5 6.6\n", + "Global C1 7.8 22.5 26.7\n", + "Global C2 14.6 18.5 54.4\n", + "Global C3 23.3 30.5 12.3\n", + "\n", + "============================================================\n", + "Global x Equity\n", + "============================================================\n", + "\n", + "% par cluster global (chaque ligne somme à 100%) :\n", + " Non exposé Asset C0 Asset C1 Asset C2\n", + "Global C0 70.6 25.9 3.2 0.2\n", + "Global C1 18.7 23.1 9.7 48.6\n", + "Global C2 37.4 32.8 29.5 0.3\n", + "Global C3 44.2 49.1 6.8 0.0\n", + "\n", + "% par cluster asset (chaque colonne somme à 100%) :\n", + " Non exposé Asset C0 Asset C1 Asset C2\n", + "Global C0 54.8 29.9 11.6 0.9\n", + "Global C1 6.3 11.5 15.0 98.3\n", + "Global C2 15.8 20.6 57.2 0.9\n", + "Global C3 23.1 38.0 16.2 0.0\n", + "\n", + "============================================================\n", + "Global x Fixed Income\n", + "============================================================\n", + "\n", + "% par cluster global (chaque ligne somme à 100%) :\n", + " Non exposé Asset C0 Asset C1\n", + "Global C0 34.5 61.5 4.0\n", + "Global C1 19.3 52.9 27.9\n", + "Global C2 65.4 21.2 13.3\n", + "Global C3 72.0 24.1 3.9\n", + "\n", + "% par cluster asset (chaque colonne somme à 100%) :\n", + " Non exposé Asset C0 Asset C1\n", + "Global C0 27.2 54.8 15.5\n", + "Global C1 6.6 20.4 46.4\n", + "Global C2 28.1 10.3 28.0\n", + "Global C3 38.2 14.4 10.1\n", + "\n", + "============================================================\n", + "Adjusted Rand Index — cohérence global x asset\n", + "============================================================\n", + "(1 = identiques, 0 = aléatoire, <0 = pire qu'aléatoire)\n", + "\n", + " Alternative : ARI=0.0278 (n=1166 comptes communs)\n", + " Diversified : ARI=0.0347 (n=3980 comptes communs)\n", + " Equity : ARI=0.1587 (n=3691 comptes communs)\n", + " Fixed Income : ARI=0.1106 (n=3743 comptes communs)\n", + "\n", + "============================================================\n", + "Exposition multi-asset par cluster global\n", + "============================================================\n", + "\n", + "Nombre moyen d'asset types par cluster global :\n", + "cluster_k4\n", + "0 1.40\n", + "1 2.92\n", + "2 1.79\n", + "3 1.50\n", + "Name: n_asset_types, dtype: float64\n", + "\n", + "Distribution du nombre d'asset types par cluster global :\n", + " 0 asset(s) 1 asset(s) 2 asset(s) 3 asset(s) 4 asset(s)\n", + "Global C0 0.4 73.9 14.8 7.3 3.5\n", + "Global C1 0.8 17.5 13.6 25.0 43.1\n", + "Global C2 0.0 49.2 29.3 14.8 6.7\n", + "Global C3 0.0 64.7 23.3 9.6 2.4\n" + ] + } + ], + "source": [ + "# ============================================================\n", + "# CROISEMENT — clustering global x clustering par asset type\n", + "# ============================================================\n", + "\n", + "# ── 1. Merge des labels asset dans dfc ────────────────────────────────────\n", + "dfc_cross = dfc[[ID_COL, \"cluster_k4\"]].copy()\n", + "\n", + "for asset, res in ASSET_RESULTS.items():\n", + " cluster_col = res[\"cluster_col\"]\n", + " df_a = res[\"df\"][[ID_COL, cluster_col]].copy()\n", + " dfc_cross = dfc_cross.merge(df_a, on=ID_COL, how=\"left\")\n", + "\n", + "print(\"Colonnes disponibles :\", dfc_cross.columns.tolist())\n", + "print(\"Shape :\", dfc_cross.shape)\n", + "\n", + "# ── 2. Tables de contingence global x asset ───────────────────────────────\n", + "fig, axes = plt.subplots(2, 2, figsize=(18, 12))\n", + "axes = axes.flatten()\n", + "\n", + "for i, (asset, res) in enumerate(ASSET_RESULTS.items()):\n", + " cluster_col = res[\"cluster_col\"]\n", + "\n", + " if cluster_col not in dfc_cross.columns:\n", + " continue\n", + "\n", + " # Table de contingence normalisée par ligne (% par cluster global)\n", + " ct = pd.crosstab(\n", + " dfc_cross[\"cluster_k4\"],\n", + " dfc_cross[cluster_col].fillna(-1).astype(int),\n", + " normalize=\"index\"\n", + " ).round(3) * 100\n", + "\n", + " # Renommer les colonnes\n", + " col_names = {\n", + " c: f\"Asset C{c}\" if c >= 0 else \"Non exposé\"\n", + " for c in ct.columns\n", + " }\n", + " ct = ct.rename(columns=col_names)\n", + " ct.index = [f\"Global C{i}\" for i in ct.index]\n", + "\n", + " sns.heatmap(\n", + " ct,\n", + " cmap=\"Blues\",\n", + " annot=True,\n", + " fmt=\".1f\",\n", + " ax=axes[i],\n", + " cbar_kws={\"label\": \"%\"},\n", + " vmin=0,\n", + " vmax=100,\n", + " )\n", + " axes[i].set_title(f\"Global x {asset} (% par cluster global)\")\n", + " axes[i].set_xlabel(f\"Cluster {asset}\")\n", + " axes[i].set_ylabel(\"Cluster Global\")\n", + "\n", + "plt.suptitle(\"Croisement Clustering Global x Clustering par Asset Type\",\n", + " fontsize=14, y=1.02)\n", + "plt.tight_layout()\n", + "plt.show()\n", + "\n", + "# ── 3. Tables de contingence détaillées ───────────────────────────────────\n", + "for asset, res in ASSET_RESULTS.items():\n", + " cluster_col = res[\"cluster_col\"]\n", + " if cluster_col not in dfc_cross.columns:\n", + " continue\n", + "\n", + " print(f\"\\n{'='*60}\")\n", + " print(f\"Global x {asset}\")\n", + " print(f\"{'='*60}\")\n", + "\n", + " # % par cluster global\n", + " ct_row = pd.crosstab(\n", + " dfc_cross[\"cluster_k4\"],\n", + " dfc_cross[cluster_col].fillna(-1).astype(int),\n", + " normalize=\"index\"\n", + " ).round(3) * 100\n", + " ct_row.index = [f\"Global C{i}\" for i in ct_row.index]\n", + " ct_row.columns = [f\"Asset C{c}\" if c >= 0 else \"Non exposé\"\n", + " for c in ct_row.columns]\n", + " print(\"\\n% par cluster global (chaque ligne somme à 100%) :\")\n", + " print(ct_row.to_string())\n", + "\n", + " # % par cluster asset\n", + " ct_col = pd.crosstab(\n", + " dfc_cross[\"cluster_k4\"],\n", + " dfc_cross[cluster_col].fillna(-1).astype(int),\n", + " normalize=\"columns\"\n", + " ).round(3) * 100\n", + " ct_col.index = [f\"Global C{i}\" for i in ct_col.index]\n", + " ct_col.columns = [f\"Asset C{c}\" if c >= 0 else \"Non exposé\"\n", + " for c in ct_col.columns]\n", + " print(\"\\n% par cluster asset (chaque colonne somme à 100%) :\")\n", + " print(ct_col.to_string())\n", + "\n", + "# ── 4. Indice de Rand Ajusté — mesure de cohérence ────────────────────────\n", + "from sklearn.metrics import adjusted_rand_score\n", + "\n", + "print(\"\\n\" + \"=\"*60)\n", + "print(\"Adjusted Rand Index — cohérence global x asset\")\n", + "print(\"=\"*60)\n", + "print(\"(1 = identiques, 0 = aléatoire, <0 = pire qu'aléatoire)\\n\")\n", + "\n", + "for asset, res in ASSET_RESULTS.items():\n", + " cluster_col = res[\"cluster_col\"]\n", + " if cluster_col not in dfc_cross.columns:\n", + " continue\n", + "\n", + " # Garder seulement les comptes présents dans les deux clusterings\n", + " mask = dfc_cross[cluster_col].notna()\n", + " labels_global = dfc_cross.loc[mask, \"cluster_k4\"].values\n", + " labels_asset = dfc_cross.loc[mask, cluster_col].values\n", + "\n", + " ari = adjusted_rand_score(labels_global, labels_asset)\n", + " n_common = mask.sum()\n", + " print(f\" {asset:20s} : ARI={ari:.4f} (n={n_common} comptes communs)\")\n", + "\n", + "# ── 5. Profil des comptes présents dans plusieurs asset types ─────────────\n", + "print(\"\\n\" + \"=\"*60)\n", + "print(\"Exposition multi-asset par cluster global\")\n", + "print(\"=\"*60)\n", + "\n", + "# Compter le nombre d'asset types par compte\n", + "asset_cols = [res[\"cluster_col\"] for res in ASSET_RESULTS.values()\n", + " if res[\"cluster_col\"] in dfc_cross.columns]\n", + "dfc_cross[\"n_asset_types\"] = dfc_cross[asset_cols].notna().sum(axis=1)\n", + "\n", + "print(\"\\nNombre moyen d'asset types par cluster global :\")\n", + "print(dfc_cross.groupby(\"cluster_k4\")[\"n_asset_types\"].mean().round(2))\n", + "\n", + "print(\"\\nDistribution du nombre d'asset types par cluster global :\")\n", + "ct_multi = pd.crosstab(\n", + " dfc_cross[\"cluster_k4\"],\n", + " dfc_cross[\"n_asset_types\"],\n", + " normalize=\"index\"\n", + ").round(3) * 100\n", + "ct_multi.index = [f\"Global C{i}\" for i in ct_multi.index]\n", + "ct_multi.columns = [f\"{c} asset(s)\" for c in ct_multi.columns]\n", + "print(ct_multi.to_string())" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "b78c0c1c-86ff-4b65-b592-57caf37c15a5", + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.13.11" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +}