{ "cells": [ { "cell_type": "markdown", "id": "8750d15b", "metadata": {}, "source": [ "# Cours 4 : Machine Learning - Algorithmes supervisés (2/2)" ] }, { "cell_type": "markdown", "id": "f7c08ae5", "metadata": {}, "source": [ "## Préambule" ] }, { "cell_type": "markdown", "id": "ec7ecb4b", "metadata": {}, "source": [ "Les objectifs de cette séance (3h) sont :\n", "* Préparation des bases de modélisation (sampling)\n", "* Construire un modèle de Machine Learning (cross-validation et hyperparamétrage) pour résoudre un problème de classification\n", "* Analyser les performances du modèle" ] }, { "cell_type": "markdown", "id": "4e99c600", "metadata": {}, "source": [ "## Préparation du workspace" ] }, { "cell_type": "markdown", "id": "c1b01045", "metadata": {}, "source": [ "### Import de librairies " ] }, { "cell_type": "code", "execution_count": null, "id": "97d58527", "metadata": {}, "outputs": [], "source": [ "# Données\n", "import numpy as np\n", "import pandas as pd\n", "\n", "# Graphiques\n", "import seaborn as sns\n", "\n", "sns.set()\n", "from imblearn.over_sampling import RandomOverSampler\n", "\n", "import plotly.express as px\n", "\n", "# Statistiques\n", "from scipy.stats import chi2_contingency\n", "\n", "# Machine Learning\n", "import sklearn.preprocessing as preproc\n", "from sklearn import metrics\n", "from sklearn.ensemble import GradientBoostingClassifier\n", "from sklearn.model_selection import (\n", " GridSearchCV,\n", " StratifiedKFold,\n", " cross_val_score,\n", " train_test_split,\n", ")" ] }, { "cell_type": "markdown", "id": "06153286", "metadata": {}, "source": [ "### Définition des fonctions " ] }, { "cell_type": "code", "execution_count": 103, "id": "c67db932", "metadata": {}, "outputs": [], "source": [ "def cramers_V(var1, var2):\n", " crosstab = np.array(\n", " pd.crosstab(var1, var2, rownames=None, colnames=None),\n", " ) # Cross table building\n", " stat = chi2_contingency(crosstab)[\n", " 0\n", " ] # Keeping of the test statistic of the Chi2 test\n", " obs = np.sum(crosstab) # Number of observations\n", " mini = (\n", " min(crosstab.shape) - 1\n", " ) # Take the minimum value between the colmns and the rows of the cross table\n", " return stat / (obs * mini)" ] }, { "cell_type": "markdown", "id": "985e4e97", "metadata": {}, "source": [ "### Constantes" ] }, { "cell_type": "code", "execution_count": 104, "id": "c9597b48", "metadata": {}, "outputs": [], "source": [ "input_path = \"./1_inputs\"\n", "output_path = \"./2_outputs\"" ] }, { "cell_type": "markdown", "id": "b2b035d2", "metadata": {}, "source": [ "### Import des données" ] }, { "cell_type": "code", "execution_count": 105, "id": "8051b5f4", "metadata": {}, "outputs": [], "source": [ "path = input_path + \"/base_retraitee.csv\"\n", "data_retraitee = pd.read_csv(path, sep=\",\", decimal=\".\")" ] }, { "cell_type": "markdown", "id": "a2578ba1", "metadata": {}, "source": [ "## Préparation de la base de données" ] }, { "cell_type": "markdown", "id": "b3715c37", "metadata": {}, "source": [ "Dans cette partie nous souhaitons expliquer la survenance d'un sinistre en fonction des variables explicatives i.e. une variable binaire qui : \n", "* est égale à 1 si la personne a eu 1 ou plus de sinistres.\n", "* est égale à 0 le cas échéant." ] }, { "cell_type": "code", "execution_count": 106, "id": "b9b98d36", "metadata": {}, "outputs": [ { "data": { "application/vnd.microsoft.datawrangler.viewer.v0+json": { "columns": [ { "name": "index", "rawType": "int64", "type": "integer" }, { "name": "ANNEE_CTR", "rawType": "int64", "type": "integer" }, { "name": "CONTRAT_ANCIENNETE", "rawType": "object", "type": "string" }, { "name": "FREQUENCE_PAIEMENT_COTISATION", "rawType": "object", "type": "string" }, { "name": "GROUPE_KM", "rawType": "object", "type": "string" }, { "name": "ZONE_RISQUE", "rawType": "object", "type": "string" }, { "name": "AGE_ASSURE_PRINCIPAL", "rawType": "int64", "type": "integer" }, { "name": "GENRE", "rawType": "object", "type": "string" }, { "name": "DEUXIEME_CONDUCTEUR", "rawType": "bool", "type": "boolean" }, { "name": "ANCIENNETE_PERMIS", "rawType": "int64", "type": "integer" }, { "name": "ANNEE_CONSTRUCTION", "rawType": "float64", "type": "float" }, { "name": "ENERGIE", "rawType": "object", "type": "string" }, { "name": "EQUIPEMENT_SECURITE", "rawType": "object", "type": "string" }, { "name": "VALEUR_DU_BIEN", "rawType": "object", "type": "string" }, { "name": "SINISTRE", "rawType": "bool", "type": "boolean" } ], "ref": "7ddcc588-b097-4f77-b9f1-5915ff78dabd", "rows": [ [ "0", "2019", "(-1,0]", "ANNUEL", "[20000;40000[", "B", "54", "M", "False", "47", "2016.0", "ESSENCE", "FAUX", "[10000;15000[", "False" ], [ "1", "2019", "(-1,0]", "ANNUEL", "[20000;40000[", "B", "88", "F", "True", "55", "2018.0", "DIESEL", "VRAI", "[20000;25000[", "False" ], [ "2", "2021", "(1,2]", "ANNUEL", "[0;20000[", "D", "35", "F", "True", "16", "2017.0", "ESSENCE", "FAUX", "[15000;20000[", "False" ], [ "3", "2021", "(2,5]", "ANNUEL", "[0;20000[", "C", "46", "M", "False", "44", "2018.0", "ESSENCE", "VRAI", "[35000;99999[", "False" ], [ "4", "2018", "(2,5]", "MENSUEL", "[20000;40000[", "A", "46", "F", "False", "31", "2009.0", "DIESEL", "FAUX", "[10000;15000[", "False" ] ], "shape": { "columns": 14, "rows": 5 } }, "text/html": [ "
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"#E5ECF6", "gridcolor": "white", "gridwidth": 2, "linecolor": "white", "showbackground": true, "ticks": "", "zerolinecolor": "white" }, "zaxis": { "backgroundcolor": "#E5ECF6", "gridcolor": "white", "gridwidth": 2, "linecolor": "white", "showbackground": true, "ticks": "", "zerolinecolor": "white" } }, "shapedefaults": { "line": { "color": "#2a3f5f" } }, "ternary": { "aaxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" }, "baxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" }, "bgcolor": "#E5ECF6", "caxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" } }, "title": { "x": 0.05 }, "xaxis": { "automargin": true, "gridcolor": "white", "linecolor": "white", "ticks": "", "title": { "standoff": 15 }, "zerolinecolor": "white", "zerolinewidth": 2 }, "yaxis": { "automargin": true, "gridcolor": "white", "linecolor": "white", "ticks": "", "title": { "standoff": 15 }, "zerolinecolor": "white", "zerolinewidth": 2 } } }, "title": { "text": "Distribution de la variable 'sinistré'" }, "xaxis": { "anchor": "y", "domain": [ 0, 1 ], "title": { "text": "SINISTRE" } }, "yaxis": { "anchor": "x", "domain": [ 0, 1 ], "title": { "text": "count" } } } } }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Observation de la distribution\n", "fig = px.histogram(\n", " data_model,\n", " x=\"SINISTRE\",\n", " title=\"Distribution de la variable 'sinistré'\",\n", ")\n", "fig.show()" ] }, { "cell_type": "markdown", "id": "92d6156a", "metadata": {}, "source": [ "#### Etude des corrélations parmi les variables explicatives" ] }, { "cell_type": "code", "execution_count": 109, "id": "a0bc6278", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(14236, 13)" ] }, "execution_count": 109, "metadata": {}, "output_type": "execute_result" } ], "source": [ "data_set = data_model.drop(\"SINISTRE\", axis=1)\n", "data_set.shape" ] }, { "cell_type": "code", "execution_count": 110, "id": "73d31ea4", "metadata": {}, "outputs": [], "source": [ "# Séparation en variables qualitatives ou catégorielles\n", "variables_na = []\n", "variables_numeriques = []\n", "variables_01 = []\n", "variables_categorielles = []\n", "for col in data_set.columns:\n", " if True in data_model[col].isna().unique():\n", " variables_na.append(data_model[col])\n", " elif str(data_model[col].dtypes) in [\"int32\", \"int64\", \"float64\"]:\n", " if len(data_model[col].unique()) == 2:\n", " variables_categorielles.append(data_model[col])\n", " else:\n", " variables_numeriques.append(data_model[col])\n", " elif len(data_model[col].unique()) == 2:\n", " variables_categorielles.append(data_model[col])\n", " else:\n", " variables_categorielles.append(data_model[col])" ] }, { "cell_type": "markdown", "id": "e82fcade", "metadata": {}, "source": [ "##### Corrélation des variables catégorielles :" ] }, { "cell_type": "code", "execution_count": 111, "id": "30df8bd5", "metadata": {}, "outputs": [], "source": [ "vars_categorielles = pd.DataFrame(variables_categorielles).transpose()" ] }, { "cell_type": "code", "execution_count": 112, "id": "be7a7d00", "metadata": {}, "outputs": [ { "data": { "application/vnd.microsoft.datawrangler.viewer.v0+json": { "columns": [ { "name": "index", "rawType": "object", "type": "string" }, { "name": "CONTRAT_ANCIENNETE", "rawType": "float64", "type": "float" }, { "name": "FREQUENCE_PAIEMENT_COTISATION", "rawType": "float64", "type": "float" }, { "name": "GROUPE_KM", "rawType": "float64", "type": "float" }, { "name": "ZONE_RISQUE", "rawType": "float64", "type": "float" }, { "name": "GENRE", "rawType": "float64", "type": "float" }, { "name": "DEUXIEME_CONDUCTEUR", "rawType": "float64", "type": "float" }, { "name": "ENERGIE", "rawType": "float64", "type": "float" }, { "name": "EQUIPEMENT_SECURITE", "rawType": "float64", "type": "float" }, { "name": "VALEUR_DU_BIEN", "rawType": "float64", "type": "float" } ], "ref": "76f9f21f-6f19-4d9a-a69d-3e090e8cd298", "rows": [ [ 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" ], "text/plain": [ " CONTRAT_ANCIENNETE \\\n", "CONTRAT_ANCIENNETE 1.00 \n", "FREQUENCE_PAIEMENT_COTISATION 0.00 \n", "GROUPE_KM 0.01 \n", "ZONE_RISQUE 0.02 \n", "GENRE 0.00 \n", "DEUXIEME_CONDUCTEUR 0.00 \n", "ENERGIE 0.00 \n", "EQUIPEMENT_SECURITE 0.01 \n", "VALEUR_DU_BIEN 0.00 \n", "\n", " FREQUENCE_PAIEMENT_COTISATION GROUPE_KM \\\n", "CONTRAT_ANCIENNETE 0.00 0.01 \n", "FREQUENCE_PAIEMENT_COTISATION 1.00 0.00 \n", "GROUPE_KM 0.00 1.00 \n", "ZONE_RISQUE 0.00 0.01 \n", "GENRE 0.01 0.01 \n", "DEUXIEME_CONDUCTEUR 0.00 0.00 \n", "ENERGIE 0.00 0.04 \n", "EQUIPEMENT_SECURITE 0.01 0.01 \n", "VALEUR_DU_BIEN 0.02 0.02 \n", "\n", " ZONE_RISQUE GENRE DEUXIEME_CONDUCTEUR \\\n", "CONTRAT_ANCIENNETE 0.02 0.00 0.0 \n", "FREQUENCE_PAIEMENT_COTISATION 0.00 0.01 0.0 \n", "GROUPE_KM 0.01 0.01 0.0 \n", "ZONE_RISQUE 1.00 0.00 0.0 \n", "GENRE 0.00 1.00 0.0 \n", "DEUXIEME_CONDUCTEUR 0.00 0.00 1.0 \n", "ENERGIE 0.01 0.02 0.0 \n", "EQUIPEMENT_SECURITE 0.03 0.01 0.0 \n", "VALEUR_DU_BIEN 0.00 0.07 0.0 \n", "\n", " ENERGIE EQUIPEMENT_SECURITE VALEUR_DU_BIEN \n", "CONTRAT_ANCIENNETE 0.00 0.01 0.00 \n", "FREQUENCE_PAIEMENT_COTISATION 0.00 0.01 0.02 \n", "GROUPE_KM 0.04 0.01 0.02 \n", "ZONE_RISQUE 0.01 0.03 0.00 \n", "GENRE 0.02 0.01 0.07 \n", "DEUXIEME_CONDUCTEUR 0.00 0.00 0.00 \n", "ENERGIE 1.00 0.02 0.08 \n", "EQUIPEMENT_SECURITE 0.02 1.00 0.07 \n", "VALEUR_DU_BIEN 0.08 0.07 1.00 " ] }, "execution_count": 112, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Test du V de Cramer\n", "rows = []\n", "\n", "for var1 in vars_categorielles:\n", " col = []\n", " for var2 in vars_categorielles:\n", " cramers = cramers_V(\n", " vars_categorielles[var1],\n", " vars_categorielles[var2],\n", " ) # V de Cramer\n", " col.append(round(cramers, 2)) # arrondi du résultat\n", " rows.append(col)\n", "\n", "cramers_results = np.array(rows)\n", "v_cramer_resultats = pd.DataFrame(\n", " cramers_results,\n", " columns=vars_categorielles.columns,\n", " index=vars_categorielles.columns,\n", ")\n", "\n", "v_cramer_resultats" ] }, { "cell_type": "code", "execution_count": 113, "id": "b3297dca", "metadata": {}, "outputs": [], "source": [ "# On repère les variables trop corrélées\n", "for i in range(v_cramer_resultats.shape[0]):\n", " for j in range(i + 1, v_cramer_resultats.shape[0]):\n", " if v_cramer_resultats.iloc[i, j] > 0.7:\n", " print(\n", " f\"{v_cramer_resultats.index.to_numpy()[i]} et {v_cramer_resultats.colmns[j]} sont trop dépendantes, V-CRAMER = {v_cramer_resultats.iloc[i, j]}\",\n", " )" ] }, { "cell_type": "markdown", "id": "8f615121", "metadata": {}, "source": [ "##### Corrélation des variables numériques :" ] }, { "cell_type": "code", "execution_count": 114, "id": "d1fa12fc", "metadata": {}, "outputs": [], "source": [ "vars_numeriques = pd.DataFrame(variables_numeriques).transpose()" ] }, { "cell_type": "markdown", "id": "5777d20f", "metadata": {}, "source": [ "**Question :** quels sont vos commentaires ?" ] }, { "cell_type": "code", "execution_count": 115, "id": "c70946b4", "metadata": {}, "outputs": [ { "data": { "application/vnd.microsoft.datawrangler.viewer.v0+json": { "columns": [ { "name": "index", "rawType": "object", "type": "string" }, { "name": "ANNEE_CTR", "rawType": "float64", "type": "float" }, { "name": "AGE_ASSURE_PRINCIPAL", "rawType": "float64", "type": "float" }, { "name": "ANCIENNETE_PERMIS", "rawType": "float64", "type": "float" }, { "name": "ANNEE_CONSTRUCTION", "rawType": "float64", "type": "float" } ], "ref": "4d9d1f6e-75c3-46f7-aef5-41fca2b9955d", "rows": [ [ "ANNEE_CTR", "1.0", "0.048023234802924315", "0.043983174120495815", "0.3615499864845018" ], [ "AGE_ASSURE_PRINCIPAL", "0.048023234802924315", "1.0", "0.4987430846753776", "-0.0591835157827114" ], [ "ANCIENNETE_PERMIS", "0.043983174120495815", "0.4987430846753776", "1.0", "-0.0298138263902136" ], [ "ANNEE_CONSTRUCTION", "0.3615499864845018", "-0.0591835157827114", "-0.0298138263902136", "1.0" ] ], "shape": { "columns": 4, "rows": 4 } }, "text/html": [ "
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ANNEE_CTRAGE_ASSURE_PRINCIPALANCIENNETE_PERMISANNEE_CONSTRUCTION
ANNEE_CTR1.0000000.0480230.0439830.361550
AGE_ASSURE_PRINCIPAL0.0480231.0000000.498743-0.059184
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ANNEE_CONSTRUCTION0.361550-0.059184-0.0298141.000000
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" ], "text/plain": [ " ANNEE_CTR AGE_ASSURE_PRINCIPAL ANCIENNETE_PERMIS \\\n", "ANNEE_CTR 1.000000 0.048023 0.043983 \n", "AGE_ASSURE_PRINCIPAL 0.048023 1.000000 0.498743 \n", "ANCIENNETE_PERMIS 0.043983 0.498743 1.000000 \n", "ANNEE_CONSTRUCTION 0.361550 -0.059184 -0.029814 \n", "\n", " ANNEE_CONSTRUCTION \n", "ANNEE_CTR 0.361550 \n", "AGE_ASSURE_PRINCIPAL -0.059184 \n", "ANCIENNETE_PERMIS -0.029814 \n", "ANNEE_CONSTRUCTION 1.000000 " ] }, "execution_count": 115, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Corrélation de Pearson\n", "correlations_num = vars_numeriques.corr(method=\"pearson\")\n", "correlations_num" ] }, { "cell_type": "code", "execution_count": 116, "id": "4c29f1f0", "metadata": {}, "outputs": [], "source": [ "# On repère les variables trop corrélées\n", "nb_variables = correlations_num.shape[0]\n", "for i in range(nb_variables):\n", " for j in range(i + 1, nb_variables):\n", " if abs(correlations_num.iloc[i, j]) > 0.7:\n", " print(\n", " f\"{correlations_num.index.to_numpy()[i]} et {correlations_num.columns[j]} sont trop dépendantes, corr = {correlations_num.iloc[i, j]}\",\n", " )" ] }, { "cell_type": "markdown", "id": "212209ec", "metadata": {}, "source": [ "#### Preprocessing" ] }, { "cell_type": "markdown", "id": "65aca700", "metadata": {}, "source": [ "Deux étapes sont nécessaires avant de lancer l'apprentissage d'un modèle, c'est ce qu'on connait comme le *Preprocessing* :\n", "\n", "* Les modèles proposés par la librairie \"sklearn\" ne gèrent que des variables numériques. Il est donc nécessaire de transformer les variables catégorielles en variables numériques : ce processus s'appelle le *One Hot Encoding*.\n", "* Normaliser les données numériques" ] }, { "cell_type": "markdown", "id": "6c23d236", "metadata": {}, "source": [ "**Exercice :** proposez un bout de code permettant de réaliser le One Hot Encoding des variables catégorielles. Vous pourrez utiliser la fonction \"preproc.OneHotEncoder\" de la librairie sklearn" ] }, { "cell_type": "code", "execution_count": 117, "id": "b8530717", "metadata": {}, "outputs": [ { "data": { "application/vnd.microsoft.datawrangler.viewer.v0+json": { "columns": [ { "name": "index", "rawType": "int64", "type": "integer" }, { "name": "CONTRAT_ANCIENNETE_(0,1]", "rawType": "float64", "type": "float" }, { "name": "CONTRAT_ANCIENNETE_(1,2]", "rawType": "float64", "type": "float" }, { "name": "CONTRAT_ANCIENNETE_(2,5]", "rawType": "float64", "type": "float" }, { "name": "CONTRAT_ANCIENNETE_(5,10]", "rawType": "float64", "type": "float" }, { "name": "FREQUENCE_PAIEMENT_COTISATION_MENSUEL", "rawType": "float64", "type": "float" }, { "name": "FREQUENCE_PAIEMENT_COTISATION_TRIMESTRIEL", "rawType": "float64", "type": "float" }, { "name": "GROUPE_KM_[20000;40000[", "rawType": "float64", "type": "float" }, { "name": "GROUPE_KM_[40000;60000[", "rawType": "float64", "type": "float" }, { "name": "GROUPE_KM_[60000;99999[", "rawType": "float64", "type": "float" }, { "name": "ZONE_RISQUE_B", "rawType": "float64", "type": "float" }, { "name": "ZONE_RISQUE_C", "rawType": "float64", "type": "float" }, { "name": "ZONE_RISQUE_D", "rawType": "float64", "type": "float" }, { "name": "ZONE_RISQUE_E", "rawType": "float64", "type": "float" }, { "name": "ZONE_RISQUE_F", "rawType": "float64", "type": "float" }, { "name": "ZONE_RISQUE_G", "rawType": "float64", "type": "float" }, { "name": "ZONE_RISQUE_H", "rawType": "float64", "type": "float" }, { "name": "ZONE_RISQUE_I", "rawType": "float64", "type": "float" }, { "name": "ZONE_RISQUE_J", "rawType": "float64", "type": "float" }, { "name": "ZONE_RISQUE_K", "rawType": "float64", "type": "float" }, { "name": "ZONE_RISQUE_L", "rawType": "float64", "type": "float" }, { "name": "ZONE_RISQUE_M", "rawType": "float64", "type": "float" }, { "name": "ZONE_RISQUE_R", "rawType": "float64", "type": "float" }, { "name": "ZONE_RISQUE_S", "rawType": "float64", "type": "float" }, { "name": "ZONE_RISQUE_T", "rawType": "float64", "type": "float" }, { "name": "ZONE_RISQUE_X", "rawType": "float64", "type": "float" }, { "name": "GENRE_M", "rawType": "float64", "type": "float" }, { "name": "DEUXIEME_CONDUCTEUR_True", "rawType": "float64", "type": "float" }, { "name": "ENERGIE_DIESEL", "rawType": "float64", "type": "float" }, { "name": "ENERGIE_ESSENCE", "rawType": "float64", "type": "float" }, { "name": "EQUIPEMENT_SECURITE_VRAI", "rawType": "float64", "type": "float" }, { "name": "VALEUR_DU_BIEN_[10000;15000[", "rawType": "float64", "type": "float" }, { "name": "VALEUR_DU_BIEN_[15000;20000[", "rawType": "float64", "type": "float" }, { "name": "VALEUR_DU_BIEN_[20000;25000[", "rawType": "float64", "type": "float" }, { "name": "VALEUR_DU_BIEN_[25000;35000[", "rawType": "float64", "type": "float" }, { "name": "VALEUR_DU_BIEN_[35000;99999[", "rawType": "float64", "type": "float" } ], "ref": "9ba6f62d-da03-4f68-bd27-371767efa9b7", "rows": [ [ "0", "0.0", "0.0", "0.0", "0.0", "0.0", "0.0", "1.0", "0.0", "0.0", "1.0", "0.0", "0.0", "0.0", "0.0", "0.0", "0.0", "0.0", "0.0", "0.0", "0.0", "0.0", "0.0", "0.0", "0.0", "0.0", "1.0", "0.0", "0.0", "1.0", "0.0", "1.0", "0.0", "0.0", "0.0", "0.0" ], [ "1", "0.0", "0.0", "0.0", "0.0", "0.0", "0.0", "1.0", "0.0", "0.0", "1.0", "0.0", "0.0", "0.0", "0.0", "0.0", "0.0", "0.0", "0.0", "0.0", "0.0", "0.0", "0.0", "0.0", "0.0", "0.0", "0.0", "1.0", "1.0", "0.0", "1.0", "0.0", "0.0", "1.0", "0.0", "0.0" ], [ "2", "0.0", "1.0", "0.0", "0.0", "0.0", "0.0", "0.0", "0.0", "0.0", "0.0", "0.0", "1.0", "0.0", "0.0", "0.0", "0.0", "0.0", "0.0", "0.0", "0.0", "0.0", "0.0", "0.0", "0.0", "0.0", "0.0", "1.0", "0.0", "1.0", "0.0", "0.0", "1.0", "0.0", "0.0", "0.0" ], [ "3", "0.0", "0.0", "1.0", "0.0", "0.0", "0.0", "0.0", "0.0", "0.0", "0.0", "1.0", "0.0", "0.0", "0.0", "0.0", "0.0", "0.0", "0.0", "0.0", "0.0", "0.0", "0.0", "0.0", "0.0", "0.0", "1.0", "0.0", "0.0", "1.0", "1.0", "0.0", "0.0", "0.0", "0.0", "1.0" ], [ "4", "0.0", "0.0", "1.0", "0.0", "1.0", "0.0", "1.0", "0.0", "0.0", "0.0", "0.0", "0.0", "0.0", "0.0", "0.0", "0.0", "0.0", "0.0", "0.0", "0.0", "0.0", "0.0", "0.0", "0.0", "0.0", "0.0", "0.0", "1.0", "0.0", "0.0", "1.0", "0.0", "0.0", "0.0", "0.0" ] ], "shape": { "columns": 35, "rows": 5 } }, "text/html": [ "
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" ], "text/plain": [ " ANNEE_CTR AGE_ASSURE_PRINCIPAL ANCIENNETE_PERMIS ANNEE_CONSTRUCTION\n", "0 0.139356 0.658287 0.563588 0.174011\n", "1 0.139356 3.151628 0.987434 0.744207\n", "2 1.347192 -0.735051 -1.078814 0.459109\n", "3 1.347192 0.071618 0.404646 0.744207\n", "4 -0.464562 0.071618 -0.284103 -1.821676" ] }, "execution_count": 118, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Normalisation des varibales numériques\n", "preproc_scale = preproc.StandardScaler(with_mean=True, with_std=True)\n", "preproc_scale.fit(vars_numeriques)\n", "\n", "vars_numeriques_scaled = preproc_scale.transform(vars_numeriques)\n", "vars_numeriques_scaled = pd.DataFrame(\n", " vars_numeriques_scaled,\n", " columns=vars_numeriques.columns,\n", ")\n", "vars_numeriques_scaled.head()" ] }, { "cell_type": "markdown", "id": "7ecba832", "metadata": {}, "source": [ "## Algorithme supervisé : Gradient Boosting" ] }, { "cell_type": "markdown", "id": "efcb8987", "metadata": {}, "source": [ "A ce stade, nous avons vu les différentes étapes pour lancer un algorithme de Machine Learning. Néanmoins, ces étapes ne sont pas suffisantes pour construire un modèle performant. \n", "En effet, afin de construire un modèle performant le Data Scientist doit agir sur l'apprentissage du modèle. Dans ce qui suit nous :\n", "* Changerons d'algorithme pour utiliser un algorithme plus performant (Gradient Boosting)\n", "* Raliserons un *grid search* sur les paramètres du modèle\n", "* Appliquerons l'apprentissage par validation croisée\n" ] }, { "cell_type": "markdown", "id": "3feaff44", "metadata": {}, "source": [ "**Exercice :** Implémentez l'algorithme du Gradient Boosting en appliquant les techniques vues lors des derniers cours (sampling, Grid search et Cross Validation) \n", "**Remarques :**\n", "* Vous pouvez utiliser les modèles \"GradientBoostingClassifier\" et \"GridSearchCV\" de la libraire Sklearn. \n", "* Pensez à utiliser les métriques relatives aux problèmes de classification." ] }, { "cell_type": "markdown", "id": "5a6adbfe", "metadata": {}, "source": [ "#### Sampling" ] }, { "cell_type": "code", "execution_count": null, "id": "d9342ad6", "metadata": {}, "outputs": [], "source": [ "X_global = vars_numeriques_scaled.merge(\n", " variables_categorielles_ohe,\n", " left_index=True,\n", " right_index=True,\n", ")\n", "# Réorganisation des données\n", "X = X_global.to_numpy()\n", "Y = np.array(data_model[\"SINISTRE\"])" ] }, { "cell_type": "code", "execution_count": 120, "id": "177643ec", "metadata": {}, "outputs": [], "source": [ "# Sampling en 80% train et 20% test\n", "X_train, X_test, y_train, y_test = train_test_split(\n", " X,\n", " Y,\n", " test_size=0.2,\n", " random_state=42,\n", " stratify=Y,\n", ")" ] }, { "cell_type": "markdown", "id": "76ece01f", "metadata": {}, "source": [ "#### Fitting avec Cross-Validation et *Grid Search*" ] }, { "cell_type": "code", "execution_count": null, "id": "cb60fe19", "metadata": {}, "outputs": [], "source": [ "# Définir la grille d'hyperparamètres à rechercher\n", "param_grid = {\n", " \"n_estimators\": [100, 200, 250],\n", " \"learning_rate\": [0.5, 0.7, 0.9],\n", "}\n", "\n", "# Nombre de folds pour la validation croisée\n", "num_folds = 5" ] }, { "cell_type": "code", "execution_count": 122, "id": "b976720e", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Meilleurs hyperparamètres : {'learning_rate': 0.9, 'n_estimators': 250}\n" ] } ], "source": [ "# Initialisation du modèle GradientBoostingClassifier\n", "gbc = GradientBoostingClassifier(random_state=42)\n", "\n", "# Création de l'objet GridSearchCV pour la recherche sur grille avec validation croisée\n", "grid_search = GridSearchCV(\n", " estimator=gbc,\n", " param_grid=param_grid,\n", " cv=StratifiedKFold(\n", " n_splits=num_folds,\n", " shuffle=True,\n", " random_state=42,\n", " ), # Validation croisée avec 5 folds\n", " scoring=\"recall\", # Métrique d'évaluation (moins c'est mieux)\n", " n_jobs=-1, # Utiliser tous les cœurs du processeur\n", ")\n", "\n", "# Exécution de la recherche sur grille\n", "grid_search.fit(X_train, y_train)\n", "\n", "# Afficher les meilleurs hyperparamètres\n", "best_params = grid_search.best_params_\n", "print(\"Meilleurs hyperparamètres : \", best_params)" ] }, { "cell_type": "code", "execution_count": 123, "id": "0a35a4bf", "metadata": {}, "outputs": [], "source": [ "# Initialiser le modèle final avec les meilleurs hyperparamètres\n", "best_gbc = GradientBoostingClassifier(random_state=42, **best_params)" ] }, { "cell_type": "code", "execution_count": 124, "id": "e12177a8", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Recall pour le fold 1: 0.015151515151515152\n", "Recall pour le fold 2: 0.022727272727272728\n", "Recall pour le fold 3: 0.030303030303030304\n", "Recall pour le fold 4: 0.007633587786259542\n", "Recall pour le fold 5: 0.022727272727272728\n", "\n", "\n", "Accuracy pour le fold 1: 0.9293239683933274\n", "Accuracy pour le fold 2: 0.9218612818261633\n", "Accuracy pour le fold 3: 0.9341527655838455\n", "Accuracy pour le fold 4: 0.9336846728151076\n", "Accuracy pour le fold 5: 0.9358805445761967\n", "\n", "\n", "Precision pour le fold 1: 0.06060606060606061\n", "Precision pour le fold 2: 0.057692307692307696\n", "Precision pour le fold 3: 0.15384615384615385\n", "Precision pour le fold 4: 0.045454545454545456\n", "Precision pour le fold 5: 0.15\n" ] } ], "source": [ "# Recall de chaque fold\n", "recall_scores = cross_val_score(\n", " best_gbc,\n", " X_train,\n", " y_train,\n", " cv=num_folds,\n", " scoring=\"recall\",\n", ")\n", "\n", "# Afficher les scores pour chaque fold\n", "for i, score in enumerate(recall_scores):\n", " print(f\"Recall pour le fold {i + 1}: {score}\")\n", "\n", "# Accuracy de chaque fold\n", "accuracy_scores = cross_val_score(\n", " best_gbc,\n", " X_train,\n", " y_train,\n", " cv=num_folds,\n", " scoring=\"accuracy\",\n", ")\n", "\n", "# Afficher les scores pour chaque fold\n", "print(\"\\n\")\n", "for i, score in enumerate(accuracy_scores):\n", " print(f\"Accuracy pour le fold {i + 1}: {score}\")\n", "\n", "# Precision de chaque fold\n", "precision_scores = cross_val_score(\n", " best_gbc,\n", " X_train,\n", " y_train,\n", " cv=num_folds,\n", " scoring=\"precision\",\n", ")\n", "\n", "# Afficher les scores pour chaque fold\n", "print(\"\\n\")\n", "for i, score in enumerate(precision_scores):\n", " print(f\"Precision pour le fold {i + 1}: {score}\")" ] }, { "cell_type": "code", "execution_count": 125, "id": "5683862c", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Exactitude : 0.024242424242424242\n" ] } ], "source": [ "# Entraîner le modèle final sur la base entière\n", "best_gbc.fit(X_train, y_train)\n", "\n", "# Faire des prédictions sur l'ensemble de test\n", "y_pred = best_gbc.predict(X_test)\n", "\n", "# Calculer le recall des prédictions\n", "recall = metrics.recall_score(y_test, y_pred)\n", "print(f\"Exactitude : {recall}\")" ] }, { "cell_type": "markdown", "id": "525aef5a", "metadata": {}, "source": [ "### Fitting avec *Oversampling*" ] }, { "cell_type": "markdown", "id": "76077b9d", "metadata": {}, "source": [ "#### *Oversampling*" ] }, { "cell_type": "code", "execution_count": 126, "id": "764406bd", "metadata": {}, "outputs": [ { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "bingroup": "x", "hovertemplate": "SINISTRE=%{x}
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"standoff": 15 }, "zerolinecolor": "white", "zerolinewidth": 2 }, "yaxis": { "automargin": true, "gridcolor": "white", "linecolor": "white", "ticks": "", "title": { "standoff": 15 }, "zerolinecolor": "white", "zerolinewidth": 2 } } }, "title": { "text": "Distribution de la variable Y_train" }, "xaxis": { "anchor": "y", "domain": [ 0, 1 ], "title": { "text": "SINISTRE" } }, "yaxis": { "anchor": "x", "domain": [ 0, 1 ], "title": { "text": "count" } } } } }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Observation de la distribution sur Y_train\n", "df = pd.DataFrame(y_train, columns=[\"SINISTRE\"])\n", "fig = px.histogram(df, x=\"SINISTRE\", title=\"Distribution de la variable Y_train\")\n", "fig.show()" ] }, { "cell_type": "code", "execution_count": 127, "id": "13b7f0ae", "metadata": {}, "outputs": [], "source": [ "# Oversampling\n", "# Appliquer le suréchantillonnage à la classe minoritaire\n", "sampler = RandomOverSampler(random_state=42)\n", "X_train_resampled, 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"zerolinecolor": "white" }, "zaxis": { "backgroundcolor": "#E5ECF6", "gridcolor": "white", "gridwidth": 2, "linecolor": "white", "showbackground": true, "ticks": "", "zerolinecolor": "white" } }, "shapedefaults": { "line": { "color": "#2a3f5f" } }, "ternary": { "aaxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" }, "baxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" }, "bgcolor": "#E5ECF6", "caxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" } }, "title": { "x": 0.05 }, "xaxis": { "automargin": true, "gridcolor": "white", "linecolor": "white", "ticks": "", "title": { "standoff": 15 }, "zerolinecolor": "white", "zerolinewidth": 2 }, "yaxis": { "automargin": true, "gridcolor": "white", "linecolor": "white", "ticks": "", "title": { "standoff": 15 }, "zerolinecolor": "white", "zerolinewidth": 2 } } }, "title": { "text": "Distribution de la variable Y_train_resampled" }, "xaxis": { "anchor": "y", "domain": [ 0, 1 ], "title": { "text": "SINISTRE" } }, "yaxis": { "anchor": "x", "domain": [ 0, 1 ], "title": { "text": "count" } } } } }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Observation de la distribution sur Y_train\n", "df = pd.DataFrame(y_train_resampled, columns=[\"SINISTRE\"])\n", "fig = px.histogram(\n", " df,\n", " x=\"SINISTRE\",\n", " title=\"Distribution de la variable Y_train_resampled\",\n", ")\n", "fig.show()" ] }, { "cell_type": "markdown", "id": "dd1eb242", "metadata": {}, "source": [ "#### Fitting sur le nouvel échantillon" ] }, { "cell_type": "code", "execution_count": 129, "id": "7f2b0273", "metadata": {}, "outputs": [], "source": [ "# Définir la grille d'hyperparamètres à rechercher\n", "param_grid = {\n", " \"n_estimators\": [475, 500, 525],\n", " \"learning_rate\": [0, 7, 0.9, 1.5],\n", "}\n", "\n", "# Nombre de folds pour la validation croisée\n", "num_folds = 5\n", "\n", "# Initialisation du modèle GradientBoostingClassifier\n", "gb = GradientBoostingClassifier(random_state=42)" ] }, { "cell_type": "code", "execution_count": 130, "id": "1d02b400", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Meilleurs hyperparamètres : {'learning_rate': 0.9, 'n_estimators': 500}\n" ] } ], "source": [ "# Création de l'objet GridSearchCV pour la recherche sur grille avec validation croisée\n", "grid_search = GridSearchCV(\n", " estimator=gb,\n", " param_grid=param_grid,\n", " cv=StratifiedKFold(\n", " n_splits=num_folds,\n", " shuffle=True,\n", " random_state=42,\n", " ), # Validation croisée stratifiée avec 5 plis\n", " scoring=\"recall\", # Métrique d'évaluation\n", " n_jobs=-1, # Utiliser tous les cœurs du processeur\n", ")\n", "\n", "# Exécution de la recherche sur grille\n", "grid_search.fit(X_train_resampled, y_train_resampled)\n", "\n", "# Afficher les meilleurs hyperparamètres\n", "best_params = grid_search.best_params_\n", "print(\"Meilleurs hyperparamètres : \", best_params)\n", "\n", "# Initialiser un modèle avec les meilleurs hyperparamètres\n", "best_gbc = GradientBoostingClassifier(random_state=42, **best_params)" ] }, { "cell_type": "code", "execution_count": 131, "id": "28956389", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Recall pour le fold 1: 0.9948741845293569\n", "Recall pour le fold 2: 0.9972041006523765\n", "Recall pour le fold 3: 0.9972041006523765\n", "Recall pour le fold 4: 0.9981351981351981\n", "Recall pour le fold 5: 0.9958061509785647\n", "\n", "\n", "Accuracy pour le fold 1: 0.945479962721342\n", "Accuracy pour le fold 2: 0.9452469711090401\n", "Accuracy pour le fold 3: 0.9391891891891891\n", "Accuracy pour le fold 4: 0.9461663947797716\n", "Accuracy pour le fold 5: 0.9370776042880448\n", "\n", "\n", "Precision pour le fold 1: 0.9054283290924512\n", "Precision pour le fold 2: 0.9033347403967918\n", "Precision pour le fold 3: 0.8935281837160751\n", "Precision pour le fold 4: 0.9041385135135135\n", "Precision pour le fold 5: 0.8911592994161801\n" ] } ], "source": [ "# Zoom sur la CV\n", "# Recall de chaque fold\n", "recall_scores = cross_val_score(\n", " best_gbc,\n", " X_train_resampled,\n", " y_train_resampled,\n", " cv=num_folds,\n", " scoring=\"recall\",\n", ")\n", "\n", "# Afficher les scores pour chaque fold\n", "for i, score in enumerate(recall_scores):\n", " print(f\"Recall pour le fold {i + 1}: {score}\")\n", "\n", "# Accuracy de chaque fold\n", "accuracy_scores = cross_val_score(\n", " best_gbc,\n", " X_train_resampled,\n", " y_train_resampled,\n", " cv=num_folds,\n", " scoring=\"accuracy\",\n", ")\n", "\n", "# Afficher les scores pour chaque fold\n", "print(\"\\n\")\n", "for i, score in enumerate(accuracy_scores):\n", " print(f\"Accuracy pour le fold {i + 1}: {score}\")\n", "\n", "# Precision de chaque fold\n", "precision_scores = cross_val_score(\n", " best_gbc,\n", " X_train_resampled,\n", " y_train_resampled,\n", " cv=num_folds,\n", " scoring=\"precision\",\n", ")\n", "\n", "# Afficher les scores pour chaque fold\n", "print(\"\\n\")\n", "for i, score in enumerate(precision_scores):\n", " print(f\"Precision pour le fold {i + 1}: {score}\")" ] }, { "cell_type": "code", "execution_count": 132, "id": "5ab7fedd", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
GradientBoostingClassifier(learning_rate=0.9, n_estimators=500, random_state=42)
In a Jupyter environment, please rerun this cell to show the HTML representation or trust the notebook.
On GitHub, the HTML representation is unable to render, please try loading this page with nbviewer.org.
" ], "text/plain": [ "GradientBoostingClassifier(learning_rate=0.9, n_estimators=500, random_state=42)" ] }, "execution_count": 132, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Entraîner le modèle final sur toute la base\n", "best_gbc.fit(X_train_resampled, y_train_resampled)" ] }, { "cell_type": "code", "execution_count": 133, "id": "7df7f223", "metadata": {}, "outputs": [], "source": [ "# Faire des prédictions sur l'ensemble de test\n", "y_pred = best_gbc.predict(X_test)" ] }, { "cell_type": "markdown", "id": "3a723cbc", "metadata": {}, "source": [ "#### Validation du modèle - métriques" ] }, { "cell_type": "markdown", "id": "60c0312d", "metadata": {}, "source": [ "**Exercice :** \n", "* Construisez la matrice de confusion (metrics.confusion_matrix).\n", "* Calculez les métriques : accuracy, recall & precision." ] }, { "cell_type": "code", "execution_count": 134, "id": "5d9ef448", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 134, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Matrice de confusion\n", "confusion_matrix = metrics.confusion_matrix(y_test, y_pred)\n", "cm_display = metrics.ConfusionMatrixDisplay(\n", " confusion_matrix=confusion_matrix,\n", " display_labels=[False, True],\n", ")\n", "\n", "cm_display.plot()" ] }, { "cell_type": "code", "execution_count": 135, "id": "037188fc", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Recall : 0.1696969696969697\n" ] } ], "source": [ "# Calculer le recall des prédictions\n", "recall = metrics.recall_score(y_test, y_pred)\n", "print(f\"Recall : {recall}\")" ] }, { "cell_type": "code", "execution_count": 136, "id": "b9d20ebf", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Exactitude : 0.8599016853932584\n" ] } ], "source": [ "# Calculer l'accuracy des prédictions\n", "acc = metrics.accuracy_score(y_test, y_pred)\n", "print(f\"Exactitude : {acc}\")" ] }, { "cell_type": "code", "execution_count": 137, "id": "7f867d05", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Precision : 0.09655172413793103\n" ] } ], "source": [ "# Calculer le precision des prédictions\n", "precision = metrics.precision_score(y_test, y_pred)\n", "print(f\"Precision : {precision}\")" ] } ], "metadata": { "kernelspec": { "display_name": "studies", "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": "3.13.9" } }, "nbformat": 4, "nbformat_minor": 5 }