diff --git a/M2/Machine Learning/TP_3/1_inputs/base_retraitee.csv b/M2/Machine Learning/TP_3/1_inputs/base_retraitee.csv
new file mode 100644
index 0000000..6ce0dc4
--- /dev/null
+++ b/M2/Machine Learning/TP_3/1_inputs/base_retraitee.csv	
@@ -0,0 +1,14237 @@
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diff --git a/M2/Machine Learning/TP_3/2025_TP_3_M2_ISF.ipynb b/M2/Machine Learning/TP_3/2025_TP_3_M2_ISF.ipynb
new file mode 100644
index 0000000..c690af1
--- /dev/null
+++ b/M2/Machine Learning/TP_3/2025_TP_3_M2_ISF.ipynb	
@@ -0,0 +1,1933 @@
+{
+ "cells": [
+  {
+   "cell_type": "markdown",
+   "id": "8750d15b",
+   "metadata": {},
+   "source": [
+    "# Cours 3 : Machine Learning - Algorithmes supervisés (1/2)"
+   ]
+  },
+  {
+   "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",
+    "* Mettre en application un modèle supervisé simple.\n",
+    "* Construire un modèle de Machine Learning (cross-validation et hyperparamétrage) pour résoudre un problème de régression\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",
+    "import plotly.express as px\n",
+    "import plotly.graph_objects as gp\n",
+    "import sklearn.preprocessing as preproc\n",
+    "\n",
+    "#Statistiques\n",
+    "from scipy.stats import chi2_contingency\n",
+    "from sklearn import metrics\n",
+    "\n",
+    "# Machine Learning\n",
+    "from sklearn.cluster import KMeans\n",
+    "from sklearn.ensemble import RandomForestRegressor\n",
+    "from sklearn.model_selection import KFold, train_test_split\n",
+    "from sklearn.tree import DecisionTreeClassifier, DecisionTreeRegressor"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "06153286",
+   "metadata": {},
+   "source": [
+    "### Définition des fonctions "
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "id": "c67db932",
+   "metadata": {},
+   "outputs": [],
+   "source": []
+  },
+  {
+   "cell_type": "markdown",
+   "id": "985e4e97",
+   "metadata": {},
+   "source": [
+    "### Constantes"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 24,
+   "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": 25,
+   "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": [
+    "## Algorithme supervisé : CART "
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "aaa0b27d",
+   "metadata": {},
+   "source": [
+    "Dans cette partie l'objectif est de construire un modèle simple (algorithme CART) afin de voir les différentes étapes nécessaire au lancement d'un modèle\n",
+    "Nous modéliserons directement le coût des sinistres. "
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "a0458a05",
+   "metadata": {},
+   "source": [
+    "### Construction du modèle"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "b3715c37",
+   "metadata": {},
+   "source": [
+    "La première étape est de calculer les côut moyen de chaque sinistre (target ou variable réponse). Cette variable sera la variable à prédire en fonction des variables explicatives."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 26,
+   "id": "c427a4b8",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "application/vnd.microsoft.datawrangler.viewer.v0+json": {
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+         "rawType": "object",
+         "type": "string"
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+        {
+         "name": "CM",
+         "rawType": "float64",
+         "type": "float"
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+       "ref": "e76df045-0c83-40e9-a027-c48f278ec1d6",
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+       }
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+      "text/html": [
+       "<div>\n",
+       "<style scoped>\n",
+       "    .dataframe tbody tr th:only-of-type {\n",
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+       "    <tr style=\"text-align: right;\">\n",
+       "      <th></th>\n",
+       "      <th>ANNEE_CTR</th>\n",
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+       "      <th>GROUPE_KM</th>\n",
+       "      <th>ZONE_RISQUE</th>\n",
+       "      <th>AGE_ASSURE_PRINCIPAL</th>\n",
+       "      <th>GENRE</th>\n",
+       "      <th>DEUXIEME_CONDUCTEUR</th>\n",
+       "      <th>ANCIENNETE_PERMIS</th>\n",
+       "      <th>ANNEE_CONSTRUCTION</th>\n",
+       "      <th>ENERGIE</th>\n",
+       "      <th>EQUIPEMENT_SECURITE</th>\n",
+       "      <th>VALEUR_DU_BIEN</th>\n",
+       "      <th>CM</th>\n",
+       "    </tr>\n",
+       "  </thead>\n",
+       "  <tbody>\n",
+       "    <tr>\n",
+       "      <th>10</th>\n",
+       "      <td>2019</td>\n",
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+       "      <td>MENSUEL</td>\n",
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+       "      <td>37</td>\n",
+       "      <td>2017.0</td>\n",
+       "      <td>ESSENCE</td>\n",
+       "      <td>VRAI</td>\n",
+       "      <td>[15000;20000[</td>\n",
+       "      <td>1072.98</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>34</th>\n",
+       "      <td>2020</td>\n",
+       "      <td>(-1,0]</td>\n",
+       "      <td>MENSUEL</td>\n",
+       "      <td>[20000;40000[</td>\n",
+       "      <td>C</td>\n",
+       "      <td>27</td>\n",
+       "      <td>M</td>\n",
+       "      <td>True</td>\n",
+       "      <td>13</td>\n",
+       "      <td>2018.0</td>\n",
+       "      <td>AUTRE</td>\n",
+       "      <td>FAUX</td>\n",
+       "      <td>[35000;99999[</td>\n",
+       "      <td>3750.00</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>36</th>\n",
+       "      <td>2019</td>\n",
+       "      <td>(-1,0]</td>\n",
+       "      <td>MENSUEL</td>\n",
+       "      <td>[20000;40000[</td>\n",
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+       "      <td>19</td>\n",
+       "      <td>M</td>\n",
+       "      <td>False</td>\n",
+       "      <td>2</td>\n",
+       "      <td>2017.0</td>\n",
+       "      <td>ESSENCE</td>\n",
+       "      <td>VRAI</td>\n",
+       "      <td>[0;10000[</td>\n",
+       "      <td>1838.49</td>\n",
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+       "    <tr>\n",
+       "      <th>78</th>\n",
+       "      <td>2019</td>\n",
+       "      <td>(-1,0]</td>\n",
+       "      <td>MENSUEL</td>\n",
+       "      <td>[20000;40000[</td>\n",
+       "      <td>B</td>\n",
+       "      <td>40</td>\n",
+       "      <td>M</td>\n",
+       "      <td>False</td>\n",
+       "      <td>45</td>\n",
+       "      <td>2018.0</td>\n",
+       "      <td>DIESEL</td>\n",
+       "      <td>FAUX</td>\n",
+       "      <td>[15000;20000[</td>\n",
+       "      <td>4892.74</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>89</th>\n",
+       "      <td>2018</td>\n",
+       "      <td>(1,2]</td>\n",
+       "      <td>MENSUEL</td>\n",
+       "      <td>[20000;40000[</td>\n",
+       "      <td>C</td>\n",
+       "      <td>20</td>\n",
+       "      <td>M</td>\n",
+       "      <td>False</td>\n",
+       "      <td>11</td>\n",
+       "      <td>2014.0</td>\n",
+       "      <td>ESSENCE</td>\n",
+       "      <td>FAUX</td>\n",
+       "      <td>[25000;35000[</td>\n",
+       "      <td>166.73</td>\n",
+       "    </tr>\n",
+       "  </tbody>\n",
+       "</table>\n",
+       "</div>"
+      ],
+      "text/plain": [
+       "    ANNEE_CTR CONTRAT_ANCIENNETE FREQUENCE_PAIEMENT_COTISATION      GROUPE_KM  \\\n",
+       "10       2019              (0,1]                       MENSUEL      [0;20000[   \n",
+       "34       2020             (-1,0]                       MENSUEL  [20000;40000[   \n",
+       "36       2019             (-1,0]                       MENSUEL  [20000;40000[   \n",
+       "78       2019             (-1,0]                       MENSUEL  [20000;40000[   \n",
+       "89       2018              (1,2]                       MENSUEL  [20000;40000[   \n",
+       "\n",
+       "   ZONE_RISQUE  AGE_ASSURE_PRINCIPAL GENRE  DEUXIEME_CONDUCTEUR  \\\n",
+       "10           C                    40     M                False   \n",
+       "34           C                    27     M                 True   \n",
+       "36           L                    19     M                False   \n",
+       "78           B                    40     M                False   \n",
+       "89           C                    20     M                False   \n",
+       "\n",
+       "    ANCIENNETE_PERMIS  ANNEE_CONSTRUCTION  ENERGIE EQUIPEMENT_SECURITE  \\\n",
+       "10                 37              2017.0  ESSENCE                VRAI   \n",
+       "34                 13              2018.0    AUTRE                FAUX   \n",
+       "36                  2              2017.0  ESSENCE                VRAI   \n",
+       "78                 45              2018.0   DIESEL                FAUX   \n",
+       "89                 11              2014.0  ESSENCE                FAUX   \n",
+       "\n",
+       "   VALEUR_DU_BIEN       CM  \n",
+       "10  [15000;20000[  1072.98  \n",
+       "34  [35000;99999[  3750.00  \n",
+       "36      [0;10000[  1838.49  \n",
+       "78  [15000;20000[  4892.74  \n",
+       "89  [25000;35000[   166.73  "
+      ]
+     },
+     "execution_count": 26,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "data_model = data_retraitee.copy()\n",
+    "\n",
+    "# Filtre pour ne garder que les lignes qui ont un sinistre (NB > 0)\n",
+    "data_model = data_model[data_model['NB'] > 0]\n",
+    "\n",
+    "# Calcul du cout moyen \"théorique\" des sinistres\n",
+    "data_model[\"CM\"] = (data_model[\"CHARGE\"] / data_model[\"NB\"])\n",
+    "data_model = data_model.drop(['CHARGE', 'NB', \"EXPO\"], axis=1)\n",
+    "data_model.head()"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "e3e85088",
+   "metadata": {},
+   "source": [
+    "**Exercice :** construisez les statistiques descriptives de la base utilisée."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 27,
+   "id": "c8fd3ee1",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "application/vnd.microsoft.datawrangler.viewer.v0+json": {
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+        {
+         "name": "index",
+         "rawType": "object",
+         "type": "string"
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+         "type": "float"
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+         "name": "CONTRAT_ANCIENNETE",
+         "rawType": "object",
+         "type": "unknown"
+        },
+        {
+         "name": "FREQUENCE_PAIEMENT_COTISATION",
+         "rawType": "object",
+         "type": "unknown"
+        },
+        {
+         "name": "GROUPE_KM",
+         "rawType": "object",
+         "type": "unknown"
+        },
+        {
+         "name": "ZONE_RISQUE",
+         "rawType": "object",
+         "type": "unknown"
+        },
+        {
+         "name": "AGE_ASSURE_PRINCIPAL",
+         "rawType": "float64",
+         "type": "float"
+        },
+        {
+         "name": "GENRE",
+         "rawType": "object",
+         "type": "unknown"
+        },
+        {
+         "name": "DEUXIEME_CONDUCTEUR",
+         "rawType": "object",
+         "type": "unknown"
+        },
+        {
+         "name": "ANCIENNETE_PERMIS",
+         "rawType": "float64",
+         "type": "float"
+        },
+        {
+         "name": "ANNEE_CONSTRUCTION",
+         "rawType": "float64",
+         "type": "float"
+        },
+        {
+         "name": "ENERGIE",
+         "rawType": "object",
+         "type": "unknown"
+        },
+        {
+         "name": "EQUIPEMENT_SECURITE",
+         "rawType": "object",
+         "type": "unknown"
+        },
+        {
+         "name": "VALEUR_DU_BIEN",
+         "rawType": "object",
+         "type": "unknown"
+        },
+        {
+         "name": "CM",
+         "rawType": "float64",
+         "type": "float"
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+         "2015.2123786407767",
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+        [
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+         null,
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+        [
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+         "2021.0",
+         null,
+         null,
+         null,
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+       ],
+       "shape": {
+        "columns": 14,
+        "rows": 11
+       }
+      },
+      "text/html": [
+       "<div>\n",
+       "<style scoped>\n",
+       "    .dataframe tbody tr th:only-of-type {\n",
+       "        vertical-align: middle;\n",
+       "    }\n",
+       "\n",
+       "    .dataframe tbody tr th {\n",
+       "        vertical-align: top;\n",
+       "    }\n",
+       "\n",
+       "    .dataframe thead th {\n",
+       "        text-align: right;\n",
+       "    }\n",
+       "</style>\n",
+       "<table border=\"1\" class=\"dataframe\">\n",
+       "  <thead>\n",
+       "    <tr style=\"text-align: right;\">\n",
+       "      <th></th>\n",
+       "      <th>ANNEE_CTR</th>\n",
+       "      <th>CONTRAT_ANCIENNETE</th>\n",
+       "      <th>FREQUENCE_PAIEMENT_COTISATION</th>\n",
+       "      <th>GROUPE_KM</th>\n",
+       "      <th>ZONE_RISQUE</th>\n",
+       "      <th>AGE_ASSURE_PRINCIPAL</th>\n",
+       "      <th>GENRE</th>\n",
+       "      <th>DEUXIEME_CONDUCTEUR</th>\n",
+       "      <th>ANCIENNETE_PERMIS</th>\n",
+       "      <th>ANNEE_CONSTRUCTION</th>\n",
+       "      <th>ENERGIE</th>\n",
+       "      <th>EQUIPEMENT_SECURITE</th>\n",
+       "      <th>VALEUR_DU_BIEN</th>\n",
+       "      <th>CM</th>\n",
+       "    </tr>\n",
+       "  </thead>\n",
+       "  <tbody>\n",
+       "    <tr>\n",
+       "      <th>count</th>\n",
+       "      <td>824.000000</td>\n",
+       "      <td>824</td>\n",
+       "      <td>824</td>\n",
+       "      <td>824</td>\n",
+       "      <td>824</td>\n",
+       "      <td>824.000000</td>\n",
+       "      <td>824</td>\n",
+       "      <td>824</td>\n",
+       "      <td>824.000000</td>\n",
+       "      <td>824.000000</td>\n",
+       "      <td>824</td>\n",
+       "      <td>824</td>\n",
+       "      <td>824</td>\n",
+       "      <td>824.000000</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>unique</th>\n",
+       "      <td>NaN</td>\n",
+       "      <td>5</td>\n",
+       "      <td>3</td>\n",
+       "      <td>4</td>\n",
+       "      <td>14</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>2</td>\n",
+       "      <td>2</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>3</td>\n",
+       "      <td>2</td>\n",
+       "      <td>6</td>\n",
+       "      <td>NaN</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>top</th>\n",
+       "      <td>NaN</td>\n",
+       "      <td>(0,1]</td>\n",
+       "      <td>MENSUEL</td>\n",
+       "      <td>[0;20000[</td>\n",
+       "      <td>C</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>M</td>\n",
+       "      <td>False</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>ESSENCE</td>\n",
+       "      <td>FAUX</td>\n",
+       "      <td>[10000;15000[</td>\n",
+       "      <td>NaN</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>freq</th>\n",
+       "      <td>NaN</td>\n",
+       "      <td>297</td>\n",
+       "      <td>398</td>\n",
+       "      <td>391</td>\n",
+       "      <td>269</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>483</td>\n",
+       "      <td>663</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>413</td>\n",
+       "      <td>517</td>\n",
+       "      <td>213</td>\n",
+       "      <td>NaN</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>mean</th>\n",
+       "      <td>2018.384709</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>44.383495</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>35.688107</td>\n",
+       "      <td>2015.212379</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>4246.016978</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>std</th>\n",
+       "      <td>1.515833</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>13.808217</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>19.370621</td>\n",
+       "      <td>3.163782</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>6869.616917</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>min</th>\n",
+       "      <td>2016.000000</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>19.000000</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>1.000000</td>\n",
+       "      <td>1998.000000</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>7.500000</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>25%</th>\n",
+       "      <td>2017.000000</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>34.000000</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>18.000000</td>\n",
+       "      <td>2014.000000</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>1159.961250</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>50%</th>\n",
+       "      <td>2018.000000</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>43.000000</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>35.000000</td>\n",
+       "      <td>2016.000000</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>2541.650000</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>75%</th>\n",
+       "      <td>2020.000000</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>53.000000</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>53.000000</td>\n",
+       "      <td>2017.000000</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>4193.797500</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>max</th>\n",
+       "      <td>2021.000000</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>94.000000</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>70.000000</td>\n",
+       "      <td>2021.000000</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>83421.850000</td>\n",
+       "    </tr>\n",
+       "  </tbody>\n",
+       "</table>\n",
+       "</div>"
+      ],
+      "text/plain": [
+       "          ANNEE_CTR CONTRAT_ANCIENNETE FREQUENCE_PAIEMENT_COTISATION  \\\n",
+       "count    824.000000                824                           824   \n",
+       "unique          NaN                  5                             3   \n",
+       "top             NaN              (0,1]                       MENSUEL   \n",
+       "freq            NaN                297                           398   \n",
+       "mean    2018.384709                NaN                           NaN   \n",
+       "std        1.515833                NaN                           NaN   \n",
+       "min     2016.000000                NaN                           NaN   \n",
+       "25%     2017.000000                NaN                           NaN   \n",
+       "50%     2018.000000                NaN                           NaN   \n",
+       "75%     2020.000000                NaN                           NaN   \n",
+       "max     2021.000000                NaN                           NaN   \n",
+       "\n",
+       "        GROUPE_KM ZONE_RISQUE  AGE_ASSURE_PRINCIPAL GENRE DEUXIEME_CONDUCTEUR  \\\n",
+       "count         824         824            824.000000   824                 824   \n",
+       "unique          4          14                   NaN     2                   2   \n",
+       "top     [0;20000[           C                   NaN     M               False   \n",
+       "freq          391         269                   NaN   483                 663   \n",
+       "mean          NaN         NaN             44.383495   NaN                 NaN   \n",
+       "std           NaN         NaN             13.808217   NaN                 NaN   \n",
+       "min           NaN         NaN             19.000000   NaN                 NaN   \n",
+       "25%           NaN         NaN             34.000000   NaN                 NaN   \n",
+       "50%           NaN         NaN             43.000000   NaN                 NaN   \n",
+       "75%           NaN         NaN             53.000000   NaN                 NaN   \n",
+       "max           NaN         NaN             94.000000   NaN                 NaN   \n",
+       "\n",
+       "        ANCIENNETE_PERMIS  ANNEE_CONSTRUCTION  ENERGIE EQUIPEMENT_SECURITE  \\\n",
+       "count          824.000000          824.000000      824                 824   \n",
+       "unique                NaN                 NaN        3                   2   \n",
+       "top                   NaN                 NaN  ESSENCE                FAUX   \n",
+       "freq                  NaN                 NaN      413                 517   \n",
+       "mean            35.688107         2015.212379      NaN                 NaN   \n",
+       "std             19.370621            3.163782      NaN                 NaN   \n",
+       "min              1.000000         1998.000000      NaN                 NaN   \n",
+       "25%             18.000000         2014.000000      NaN                 NaN   \n",
+       "50%             35.000000         2016.000000      NaN                 NaN   \n",
+       "75%             53.000000         2017.000000      NaN                 NaN   \n",
+       "max             70.000000         2021.000000      NaN                 NaN   \n",
+       "\n",
+       "       VALEUR_DU_BIEN            CM  \n",
+       "count             824    824.000000  \n",
+       "unique              6           NaN  \n",
+       "top     [10000;15000[           NaN  \n",
+       "freq              213           NaN  \n",
+       "mean              NaN   4246.016978  \n",
+       "std               NaN   6869.616917  \n",
+       "min               NaN      7.500000  \n",
+       "25%               NaN   1159.961250  \n",
+       "50%               NaN   2541.650000  \n",
+       "75%               NaN   4193.797500  \n",
+       "max               NaN  83421.850000  "
+      ]
+     },
+     "execution_count": 27,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "data_model.describe(include='all')"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "92d6156a",
+   "metadata": {},
+   "source": [
+    "#### Etude des corrélations parmi les variables explicatives"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "d7327570",
+   "metadata": {},
+   "source": [
+    "**Question :** Selon vous, pourquoi faut-il s'intéresser à la corrélation des variables ? "
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "475e141b",
+   "metadata": {},
+   "source": [
+    "*Réponse*: Pour avoir un modèle qui fit mieux + déterminer un potentiel effet de causalité entre features et target + sélectionner certaines variables."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 28,
+   "id": "1b156435",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "data_set = data_model.drop(\"CM\", axis=1)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 29,
+   "id": "0ef0fcc0",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "#Séparation en variables qualitatives ou catégorielles\n",
+    "variables_na = []\n",
+    "variables_numeriques = []\n",
+    "variables_01 = []\n",
+    "variables_categorielles = []\n",
+    "for colu in data_set.columns:\n",
+    "    if True in data_set[colu].isna().unique() :\n",
+    "        variables_na.append(data_set[colu])\n",
+    "    else :\n",
+    "        if str(data_set[colu].dtypes) in [\"int32\",\"int64\",\"float64\"]:\n",
+    "            if len(data_set[colu].unique())==2 :\n",
+    "                variables_categorielles.append(data_set[colu])\n",
+    "            else :\n",
+    "                variables_numeriques.append(data_set[colu])\n",
+    "        else :\n",
+    "            if len(data_set[colu].unique())==2 :\n",
+    "                variables_categorielles.append(data_set[colu])\n",
+    "            else :\n",
+    "                variables_categorielles.append(data_set[colu])"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "e82fcade",
+   "metadata": {},
+   "source": [
+    "##### Corrélation des variables catégorielles :"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 16,
+   "id": "e130aae5",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "vars_categorielles = pd.DataFrame(variables_categorielles).transpose()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 31,
+   "id": "c39e2ad0",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "application/vnd.microsoft.datawrangler.viewer.v0+json": {
+       "columns": [
+        {
+         "name": "index",
+         "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": "GENRE",
+         "rawType": "object",
+         "type": "string"
+        },
+        {
+         "name": "DEUXIEME_CONDUCTEUR",
+         "rawType": "object",
+         "type": "unknown"
+        },
+        {
+         "name": "ENERGIE",
+         "rawType": "object",
+         "type": "string"
+        },
+        {
+         "name": "EQUIPEMENT_SECURITE",
+         "rawType": "object",
+         "type": "string"
+        },
+        {
+         "name": "VALEUR_DU_BIEN",
+         "rawType": "object",
+         "type": "string"
+        }
+       ],
+       "ref": "089d2df2-1504-4d62-9804-f974629bdaaa",
+       "rows": [
+        [
+         "10",
+         "(0,1]",
+         "MENSUEL",
+         "[0;20000[",
+         "C",
+         "M",
+         "False",
+         "ESSENCE",
+         "VRAI",
+         "[15000;20000["
+        ],
+        [
+         "34",
+         "(-1,0]",
+         "MENSUEL",
+         "[20000;40000[",
+         "C",
+         "M",
+         "True",
+         "AUTRE",
+         "FAUX",
+         "[35000;99999["
+        ],
+        [
+         "36",
+         "(-1,0]",
+         "MENSUEL",
+         "[20000;40000[",
+         "L",
+         "M",
+         "False",
+         "ESSENCE",
+         "VRAI",
+         "[0;10000["
+        ],
+        [
+         "78",
+         "(-1,0]",
+         "MENSUEL",
+         "[20000;40000[",
+         "B",
+         "M",
+         "False",
+         "DIESEL",
+         "FAUX",
+         "[15000;20000["
+        ],
+        [
+         "89",
+         "(1,2]",
+         "MENSUEL",
+         "[20000;40000[",
+         "C",
+         "M",
+         "False",
+         "ESSENCE",
+         "FAUX",
+         "[25000;35000["
+        ]
+       ],
+       "shape": {
+        "columns": 9,
+        "rows": 5
+       }
+      },
+      "text/html": [
+       "<div>\n",
+       "<style scoped>\n",
+       "    .dataframe tbody tr th:only-of-type {\n",
+       "        vertical-align: middle;\n",
+       "    }\n",
+       "\n",
+       "    .dataframe tbody tr th {\n",
+       "        vertical-align: top;\n",
+       "    }\n",
+       "\n",
+       "    .dataframe thead th {\n",
+       "        text-align: right;\n",
+       "    }\n",
+       "</style>\n",
+       "<table border=\"1\" class=\"dataframe\">\n",
+       "  <thead>\n",
+       "    <tr style=\"text-align: right;\">\n",
+       "      <th></th>\n",
+       "      <th>CONTRAT_ANCIENNETE</th>\n",
+       "      <th>FREQUENCE_PAIEMENT_COTISATION</th>\n",
+       "      <th>GROUPE_KM</th>\n",
+       "      <th>ZONE_RISQUE</th>\n",
+       "      <th>GENRE</th>\n",
+       "      <th>DEUXIEME_CONDUCTEUR</th>\n",
+       "      <th>ENERGIE</th>\n",
+       "      <th>EQUIPEMENT_SECURITE</th>\n",
+       "      <th>VALEUR_DU_BIEN</th>\n",
+       "    </tr>\n",
+       "  </thead>\n",
+       "  <tbody>\n",
+       "    <tr>\n",
+       "      <th>10</th>\n",
+       "      <td>(0,1]</td>\n",
+       "      <td>MENSUEL</td>\n",
+       "      <td>[0;20000[</td>\n",
+       "      <td>C</td>\n",
+       "      <td>M</td>\n",
+       "      <td>False</td>\n",
+       "      <td>ESSENCE</td>\n",
+       "      <td>VRAI</td>\n",
+       "      <td>[15000;20000[</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>34</th>\n",
+       "      <td>(-1,0]</td>\n",
+       "      <td>MENSUEL</td>\n",
+       "      <td>[20000;40000[</td>\n",
+       "      <td>C</td>\n",
+       "      <td>M</td>\n",
+       "      <td>True</td>\n",
+       "      <td>AUTRE</td>\n",
+       "      <td>FAUX</td>\n",
+       "      <td>[35000;99999[</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>36</th>\n",
+       "      <td>(-1,0]</td>\n",
+       "      <td>MENSUEL</td>\n",
+       "      <td>[20000;40000[</td>\n",
+       "      <td>L</td>\n",
+       "      <td>M</td>\n",
+       "      <td>False</td>\n",
+       "      <td>ESSENCE</td>\n",
+       "      <td>VRAI</td>\n",
+       "      <td>[0;10000[</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>78</th>\n",
+       "      <td>(-1,0]</td>\n",
+       "      <td>MENSUEL</td>\n",
+       "      <td>[20000;40000[</td>\n",
+       "      <td>B</td>\n",
+       "      <td>M</td>\n",
+       "      <td>False</td>\n",
+       "      <td>DIESEL</td>\n",
+       "      <td>FAUX</td>\n",
+       "      <td>[15000;20000[</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>89</th>\n",
+       "      <td>(1,2]</td>\n",
+       "      <td>MENSUEL</td>\n",
+       "      <td>[20000;40000[</td>\n",
+       "      <td>C</td>\n",
+       "      <td>M</td>\n",
+       "      <td>False</td>\n",
+       "      <td>ESSENCE</td>\n",
+       "      <td>FAUX</td>\n",
+       "      <td>[25000;35000[</td>\n",
+       "    </tr>\n",
+       "  </tbody>\n",
+       "</table>\n",
+       "</div>"
+      ],
+      "text/plain": [
+       "   CONTRAT_ANCIENNETE FREQUENCE_PAIEMENT_COTISATION      GROUPE_KM  \\\n",
+       "10              (0,1]                       MENSUEL      [0;20000[   \n",
+       "34             (-1,0]                       MENSUEL  [20000;40000[   \n",
+       "36             (-1,0]                       MENSUEL  [20000;40000[   \n",
+       "78             (-1,0]                       MENSUEL  [20000;40000[   \n",
+       "89              (1,2]                       MENSUEL  [20000;40000[   \n",
+       "\n",
+       "   ZONE_RISQUE GENRE DEUXIEME_CONDUCTEUR  ENERGIE EQUIPEMENT_SECURITE  \\\n",
+       "10           C     M               False  ESSENCE                VRAI   \n",
+       "34           C     M                True    AUTRE                FAUX   \n",
+       "36           L     M               False  ESSENCE                VRAI   \n",
+       "78           B     M               False   DIESEL                FAUX   \n",
+       "89           C     M               False  ESSENCE                FAUX   \n",
+       "\n",
+       "   VALEUR_DU_BIEN  \n",
+       "10  [15000;20000[  \n",
+       "34  [35000;99999[  \n",
+       "36      [0;10000[  \n",
+       "78  [15000;20000[  \n",
+       "89  [25000;35000[  "
+      ]
+     },
+     "execution_count": 31,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "vars_categorielles.head()"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "8f615121",
+   "metadata": {},
+   "source": [
+    "##### Corrélation des variables numériques :"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 22,
+   "id": "a16215ab",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "vars_numeriques = pd.DataFrame(variables_numeriques).transpose()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "id": "532ca6c4",
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Matrice de corrélation des variables numériques:\n",
+      "                      ANNEE_CTR  AGE_ASSURE_PRINCIPAL  ANCIENNETE_PERMIS  \\\n",
+      "ANNEE_CTR              1.000000              0.026613           0.040797   \n",
+      "AGE_ASSURE_PRINCIPAL   0.026613              1.000000           0.540899   \n",
+      "ANCIENNETE_PERMIS      0.040797              0.540899           1.000000   \n",
+      "ANNEE_CONSTRUCTION     0.387562             -0.031655           0.033320   \n",
+      "\n",
+      "                      ANNEE_CONSTRUCTION  \n",
+      "ANNEE_CTR                       0.387562  \n",
+      "AGE_ASSURE_PRINCIPAL           -0.031655  \n",
+      "ANCIENNETE_PERMIS               0.033320  \n",
+      "ANNEE_CONSTRUCTION              1.000000  \n"
+     ]
+    },
+    {
+     "ename": "ValueError",
+     "evalue": "\n    Invalid value of type 'builtins.str' received for the 'colorscale' property of imshow\n        Received value: 'coolwarm'\n\n    The 'colorscale' property is a colorscale and may be\n    specified as:\n      - A list of colors that will be spaced evenly to create the colorscale.\n        Many predefined colorscale lists are included in the sequential, diverging,\n        and cyclical modules in the plotly.colors package.\n      - A list of 2-element lists where the first element is the\n        normalized color level value (starting at 0 and ending at 1),\n        and the second item is a valid color string.\n        (e.g. [[0, 'green'], [0.5, 'red'], [1.0, 'rgb(0, 0, 255)']])\n      - One of the following named colorscales:\n            ['aggrnyl', 'agsunset', 'algae', 'amp', 'armyrose', 'balance',\n             'blackbody', 'bluered', 'blues', 'blugrn', 'bluyl', 'brbg',\n             'brwnyl', 'bugn', 'bupu', 'burg', 'burgyl', 'cividis', 'curl',\n             'darkmint', 'deep', 'delta', 'dense', 'earth', 'edge', 'electric',\n             'emrld', 'fall', 'geyser', 'gnbu', 'gray', 'greens', 'greys',\n             'haline', 'hot', 'hsv', 'ice', 'icefire', 'inferno', 'jet',\n             'magenta', 'magma', 'matter', 'mint', 'mrybm', 'mygbm', 'oranges',\n             'orrd', 'oryel', 'oxy', 'peach', 'phase', 'picnic', 'pinkyl',\n             'piyg', 'plasma', 'plotly3', 'portland', 'prgn', 'pubu', 'pubugn',\n             'puor', 'purd', 'purp', 'purples', 'purpor', 'rainbow', 'rdbu',\n             'rdgy', 'rdpu', 'rdylbu', 'rdylgn', 'redor', 'reds', 'solar',\n             'spectral', 'speed', 'sunset', 'sunsetdark', 'teal', 'tealgrn',\n             'tealrose', 'tempo', 'temps', 'thermal', 'tropic', 'turbid',\n             'turbo', 'twilight', 'viridis', 'ylgn', 'ylgnbu', 'ylorbr',\n             'ylorrd'].\n        Appending '_r' to a named colorscale reverses it.\n",
+     "output_type": "error",
+     "traceback": [
+      "\u001b[31m---------------------------------------------------------------------------\u001b[39m",
+      "\u001b[31mValueError\u001b[39m                                Traceback (most recent call last)",
+      "\u001b[36mCell\u001b[39m\u001b[36m \u001b[39m\u001b[32mIn[32]\u001b[39m\u001b[32m, line 6\u001b[39m\n\u001b[32m      3\u001b[39m \u001b[38;5;28mprint\u001b[39m(\u001b[33m\"\u001b[39m\u001b[33mMatrice de corrélation des variables numériques:\u001b[39m\u001b[33m\"\u001b[39m)\n\u001b[32m      4\u001b[39m \u001b[38;5;28mprint\u001b[39m(correlation_matrix)\n\u001b[32m----> \u001b[39m\u001b[32m6\u001b[39m fig = \u001b[43mpx\u001b[49m\u001b[43m.\u001b[49m\u001b[43mimshow\u001b[49m\u001b[43m(\u001b[49m\n\u001b[32m      7\u001b[39m \u001b[43m    \u001b[49m\u001b[43mcorrelation_matrix\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mtext_auto\u001b[49m\u001b[43m=\u001b[49m\u001b[38;5;28;43;01mTrue\u001b[39;49;00m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mcolor_continuous_scale\u001b[49m\u001b[43m=\u001b[49m\u001b[33;43m\"\u001b[39;49m\u001b[33;43mcoolwarm\u001b[39;49m\u001b[33;43m\"\u001b[39;49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43maspect\u001b[49m\u001b[43m=\u001b[49m\u001b[33;43m\"\u001b[39;49m\u001b[33;43mauto\u001b[39;49m\u001b[33;43m\"\u001b[39;49m\n\u001b[32m      8\u001b[39m \u001b[43m)\u001b[49m\n\u001b[32m      9\u001b[39m fig.update_layout(title=\u001b[33m\"\u001b[39m\u001b[33mMatrice de corrélation des variables numériques\u001b[39m\u001b[33m\"\u001b[39m)\n\u001b[32m     10\u001b[39m fig.show()\n",
+      "\u001b[36mFile \u001b[39m\u001b[32m~/Workspace/studies/.venv/lib/python3.13/site-packages/plotly/express/_imshow.py:423\u001b[39m, in \u001b[36mimshow\u001b[39m\u001b[34m(img, zmin, zmax, origin, labels, x, y, animation_frame, facet_col, facet_col_wrap, facet_col_spacing, facet_row_spacing, color_continuous_scale, color_continuous_midpoint, range_color, title, template, width, height, aspect, contrast_rescaling, binary_string, binary_backend, binary_compression_level, binary_format, text_auto)\u001b[39m\n\u001b[32m    420\u001b[39m     layout[\u001b[33m\"\u001b[39m\u001b[33myaxis\u001b[39m\u001b[33m\"\u001b[39m][\u001b[33m\"\u001b[39m\u001b[33mconstrain\u001b[39m\u001b[33m\"\u001b[39m] = \u001b[33m\"\u001b[39m\u001b[33mdomain\u001b[39m\u001b[33m\"\u001b[39m\n\u001b[32m    421\u001b[39m colorscale_validator = ColorscaleValidator(\u001b[33m\"\u001b[39m\u001b[33mcolorscale\u001b[39m\u001b[33m\"\u001b[39m, \u001b[33m\"\u001b[39m\u001b[33mimshow\u001b[39m\u001b[33m\"\u001b[39m)\n\u001b[32m    422\u001b[39m layout[\u001b[33m\"\u001b[39m\u001b[33mcoloraxis1\u001b[39m\u001b[33m\"\u001b[39m] = \u001b[38;5;28mdict\u001b[39m(\n\u001b[32m--> \u001b[39m\u001b[32m423\u001b[39m     colorscale=\u001b[43mcolorscale_validator\u001b[49m\u001b[43m.\u001b[49m\u001b[43mvalidate_coerce\u001b[49m\u001b[43m(\u001b[49m\n\u001b[32m    424\u001b[39m \u001b[43m        \u001b[49m\u001b[43margs\u001b[49m\u001b[43m[\u001b[49m\u001b[33;43m\"\u001b[39;49m\u001b[33;43mcolor_continuous_scale\u001b[39;49m\u001b[33;43m\"\u001b[39;49m\u001b[43m]\u001b[49m\n\u001b[32m    425\u001b[39m \u001b[43m    \u001b[49m\u001b[43m)\u001b[49m,\n\u001b[32m    426\u001b[39m     cmid=color_continuous_midpoint,\n\u001b[32m    427\u001b[39m     cmin=zmin,\n\u001b[32m    428\u001b[39m     cmax=zmax,\n\u001b[32m    429\u001b[39m )\n\u001b[32m    430\u001b[39m \u001b[38;5;28;01mif\u001b[39;00m labels[\u001b[33m\"\u001b[39m\u001b[33mcolor\u001b[39m\u001b[33m\"\u001b[39m]:\n\u001b[32m    431\u001b[39m     layout[\u001b[33m\"\u001b[39m\u001b[33mcoloraxis1\u001b[39m\u001b[33m\"\u001b[39m][\u001b[33m\"\u001b[39m\u001b[33mcolorbar\u001b[39m\u001b[33m\"\u001b[39m] = \u001b[38;5;28mdict\u001b[39m(title_text=labels[\u001b[33m\"\u001b[39m\u001b[33mcolor\u001b[39m\u001b[33m\"\u001b[39m])\n",
+      "\u001b[36mFile \u001b[39m\u001b[32m~/Workspace/studies/.venv/lib/python3.13/site-packages/_plotly_utils/basevalidators.py:1636\u001b[39m, in \u001b[36mColorscaleValidator.validate_coerce\u001b[39m\u001b[34m(self, v)\u001b[39m\n\u001b[32m   1631\u001b[39m             v = [\n\u001b[32m   1632\u001b[39m                 [e[\u001b[32m0\u001b[39m], ColorValidator.perform_validate_coerce(e[\u001b[32m1\u001b[39m])] \u001b[38;5;28;01mfor\u001b[39;00m e \u001b[38;5;129;01min\u001b[39;00m v\n\u001b[32m   1633\u001b[39m             ]\n\u001b[32m   1635\u001b[39m \u001b[38;5;28;01mif\u001b[39;00m \u001b[38;5;129;01mnot\u001b[39;00m v_valid:\n\u001b[32m-> \u001b[39m\u001b[32m1636\u001b[39m     \u001b[38;5;28;43mself\u001b[39;49m\u001b[43m.\u001b[49m\u001b[43mraise_invalid_val\u001b[49m\u001b[43m(\u001b[49m\u001b[43mv\u001b[49m\u001b[43m)\u001b[49m\n\u001b[32m   1638\u001b[39m \u001b[38;5;28;01mreturn\u001b[39;00m v\n",
+      "\u001b[36mFile \u001b[39m\u001b[32m~/Workspace/studies/.venv/lib/python3.13/site-packages/_plotly_utils/basevalidators.py:298\u001b[39m, in \u001b[36mBaseValidator.raise_invalid_val\u001b[39m\u001b[34m(self, v, inds)\u001b[39m\n\u001b[32m    295\u001b[39m             \u001b[38;5;28;01mfor\u001b[39;00m i \u001b[38;5;129;01min\u001b[39;00m inds:\n\u001b[32m    296\u001b[39m                 name += \u001b[33m\"\u001b[39m\u001b[33m[\u001b[39m\u001b[33m\"\u001b[39m + \u001b[38;5;28mstr\u001b[39m(i) + \u001b[33m\"\u001b[39m\u001b[33m]\u001b[39m\u001b[33m\"\u001b[39m\n\u001b[32m--> \u001b[39m\u001b[32m298\u001b[39m         \u001b[38;5;28;01mraise\u001b[39;00m \u001b[38;5;167;01mValueError\u001b[39;00m(\n\u001b[32m    299\u001b[39m \u001b[38;5;250m            \u001b[39m\u001b[33;03m\"\"\"\u001b[39;00m\n\u001b[32m    300\u001b[39m \u001b[33;03m    Invalid value of type {typ} received for the '{name}' property of {pname}\u001b[39;00m\n\u001b[32m    301\u001b[39m \u001b[33;03m        Received value: {v}\u001b[39;00m\n\u001b[32m    302\u001b[39m \n\u001b[32m    303\u001b[39m \u001b[33;03m{valid_clr_desc}\"\"\"\u001b[39;00m.format(\n\u001b[32m    304\u001b[39m                 name=name,\n\u001b[32m    305\u001b[39m                 pname=\u001b[38;5;28mself\u001b[39m.parent_name,\n\u001b[32m    306\u001b[39m                 typ=type_str(v),\n\u001b[32m    307\u001b[39m                 v=\u001b[38;5;28mrepr\u001b[39m(v),\n\u001b[32m    308\u001b[39m                 valid_clr_desc=\u001b[38;5;28mself\u001b[39m.description(),\n\u001b[32m    309\u001b[39m             )\n\u001b[32m    310\u001b[39m         )\n",
+      "\u001b[31mValueError\u001b[39m: \n    Invalid value of type 'builtins.str' received for the 'colorscale' property of imshow\n        Received value: 'coolwarm'\n\n    The 'colorscale' property is a colorscale and may be\n    specified as:\n      - A list of colors that will be spaced evenly to create the colorscale.\n        Many predefined colorscale lists are included in the sequential, diverging,\n        and cyclical modules in the plotly.colors package.\n      - A list of 2-element lists where the first element is the\n        normalized color level value (starting at 0 and ending at 1),\n        and the second item is a valid color string.\n        (e.g. [[0, 'green'], [0.5, 'red'], [1.0, 'rgb(0, 0, 255)']])\n      - One of the following named colorscales:\n            ['aggrnyl', 'agsunset', 'algae', 'amp', 'armyrose', 'balance',\n             'blackbody', 'bluered', 'blues', 'blugrn', 'bluyl', 'brbg',\n             'brwnyl', 'bugn', 'bupu', 'burg', 'burgyl', 'cividis', 'curl',\n             'darkmint', 'deep', 'delta', 'dense', 'earth', 'edge', 'electric',\n             'emrld', 'fall', 'geyser', 'gnbu', 'gray', 'greens', 'greys',\n             'haline', 'hot', 'hsv', 'ice', 'icefire', 'inferno', 'jet',\n             'magenta', 'magma', 'matter', 'mint', 'mrybm', 'mygbm', 'oranges',\n             'orrd', 'oryel', 'oxy', 'peach', 'phase', 'picnic', 'pinkyl',\n             'piyg', 'plasma', 'plotly3', 'portland', 'prgn', 'pubu', 'pubugn',\n             'puor', 'purd', 'purp', 'purples', 'purpor', 'rainbow', 'rdbu',\n             'rdgy', 'rdpu', 'rdylbu', 'rdylgn', 'redor', 'reds', 'solar',\n             'spectral', 'speed', 'sunset', 'sunsetdark', 'teal', 'tealgrn',\n             'tealrose', 'tempo', 'temps', 'thermal', 'tropic', 'turbid',\n             'turbo', 'twilight', 'viridis', 'ylgn', 'ylgnbu', 'ylorbr',\n             'ylorrd'].\n        Appending '_r' to a named colorscale reverses it.\n"
+     ]
+    }
+   ],
+   "source": [
+    "# Calcul des corrélations entre variables numériques\n",
+    "correlation_matrix = vars_numeriques.corr()\n",
+    "print(\"Matrice de corrélation des variables numériques:\")\n",
+    "print(correlation_matrix)\n",
+    "\n",
+    "fig = px.imshow(\n",
+    "    correlation_matrix, text_auto=True, color_continuous_scale=\"coolwarm\", aspect=\"auto\"\n",
+    ")\n",
+    "fig.update_layout(title=\"Matrice de corrélation des variables numériques\")\n",
+    "fig.show()"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "98c7dba6",
+   "metadata": {},
+   "source": [
+    "**Question :** quels sont vos commentaires ?"
+   ]
+  },
+  {
+   "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": "95f5cc9f",
+   "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": null,
+   "id": "b8530717",
+   "metadata": {},
+   "outputs": [],
+   "source": []
+  },
+  {
+   "cell_type": "markdown",
+   "id": "b70abc5c",
+   "metadata": {},
+   "source": [
+    "**Exercice :** proposez un bout de code permettant normaliser les variables numériques présentes dans la base. Vous pourrez utiliser la fonction \"preproc.StandardScaler\" de la librairie sklearn"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "id": "4ff3847d",
+   "metadata": {},
+   "outputs": [],
+   "source": []
+  },
+  {
+   "cell_type": "markdown",
+   "id": "62d49546",
+   "metadata": {},
+   "source": [
+    "#### Sampling"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "64d229f4",
+   "metadata": {},
+   "source": [
+    "**Exercice :** proposez un bout de code permettant construire la base d'apprentissage (80% des données) et la base de test (20%)."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "id": "6a1c7907",
+   "metadata": {},
+   "outputs": [],
+   "source": []
+  },
+  {
+   "cell_type": "markdown",
+   "id": "84dc7a07",
+   "metadata": {},
+   "source": [
+    "#### Fitting"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "97c7b783",
+   "metadata": {},
+   "source": [
+    "**Exercice :** proposez un bout de code permettant construire le modèle"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "id": "bd26339b",
+   "metadata": {},
+   "outputs": [],
+   "source": []
+  },
+  {
+   "cell_type": "markdown",
+   "id": "8d624704",
+   "metadata": {},
+   "source": [
+    "**Exercice :** proposez un bout de code permettant d'évaluer les performances du modèle (MAE, MSE et RMSE)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "id": "c4ca2cf9",
+   "metadata": {},
+   "outputs": [],
+   "source": []
+  },
+  {
+   "cell_type": "markdown",
+   "id": "fb2fe98c",
+   "metadata": {},
+   "source": [
+    "**Question :** que pensez-vous des performances de ce modèle ?"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "7ecba832",
+   "metadata": {},
+   "source": [
+    "## Algorithme supervisé : Random Forest  "
+   ]
+  },
+  {
+   "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 (Random Forest)\n",
+    "* Raliserons un *grid search* sur les paramètres du modèle\n",
+    "* Appliquerons l'apprentissage par validation croisée\n"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "d6723a2f",
+   "metadata": {},
+   "source": [
+    "### Modèle avec Validation Croisée"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "3716b09f",
+   "metadata": {},
+   "source": [
+    "#### Sampling"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "id": "ab1e1367",
+   "metadata": {},
+   "outputs": [],
+   "source": []
+  },
+  {
+   "cell_type": "markdown",
+   "id": "3f5d735e",
+   "metadata": {},
+   "source": [
+    "#### Fitting avec Cross-Validation"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "bc819f8f",
+   "metadata": {},
+   "source": [
+    "**Exercice :** construisez un modèle RF (RandomForestRegressor) en implémentant la technique de validation croisée. Pensez à enregistrer au sein d'une variable/liste les performances (MAE, MSE & RMSE) du modèle au sein de chaque fold."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "id": "b515460e",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "#Initialisation\n",
+    "# Nombre de sous-échantillons pour la cross-validation\n",
+    "num_splits = 5\n",
+    "\n",
+    "# Random Forest regressor\n",
+    "rf_regressor = RandomForestRegressor(n_estimators=100, random_state=42)\n",
+    "\n",
+    "# Initialisation du KFold cross-validation splitter\n",
+    "kf = KFold(n_splits=num_splits)\n",
+    "\n",
+    "# Listes pour enregistrer les performances du modèle\n",
+    "MAE_scores = []\n",
+    "MSE_scores = []\n",
+    "RMSE_scores = []"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "id": "eebb394f",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "# Entrainement avec cross-validation\n"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "id": "b067126c",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "# Métriques sur tous les folds\n",
+    "\n",
+    "#MAE\n",
+    "for fold, mae in enumerate(MAE_scores, start=1):\n",
+    "    print(f\"Fold {fold} MAE:\", mae)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "id": "6597152c",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "#MSE\n",
+    "for fold, mse in enumerate(MSE_scores, start=1):\n",
+    "    print(f\"Fold {fold} MSE:\", mse)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "id": "63ff1c9d",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "#RMSE\n",
+    "for fold, rmse in enumerate(RMSE_scores, start=1):\n",
+    "    print(f\"Fold {fold} RMSE:\", rmse)"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "ec1961c2",
+   "metadata": {},
+   "source": [
+    "**Question :** Commentez les résultats."
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "5a8163ef",
+   "metadata": {},
+   "source": [
+    "### Ajout d'un Grid Search pour les hyper paramètres"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "5a6adbfe",
+   "metadata": {},
+   "source": [
+    "#### Sampling"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "id": "d9342ad6",
+   "metadata": {},
+   "outputs": [],
+   "source": []
+  },
+  {
+   "cell_type": "markdown",
+   "id": "dce52b11",
+   "metadata": {},
+   "source": [
+    "#### Fitting avec Cross-Validation et *Grid Search*"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "7e3a9dd0",
+   "metadata": {},
+   "source": [
+    "**Exercice :** Intégrez la technique de Grid Search pour rechercher les paramètres optimaux du modèle."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "id": "6d58dbc2",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "#Initialisation\n",
+    "# Nombre de sous-échantillons pour la cross-validation\n",
+    "num_splits = 5\n",
+    "\n",
+    "# Initialisation du KFold cross-validation splitter\n",
+    "kf = KFold(n_splits=num_splits)\n",
+    "\n",
+    "# Listes pour enregistrer les performances du modèle\n",
+    "MAE_scores = []\n",
+    "MSE_scores = []\n",
+    "RMSE_scores = []\n",
+    "\n",
+    "# Hyperparamètres à tester\n",
+    "n_estimators_values = [] #Complétez ici par les paramètres à tester\n",
+    "max_depth_values = [] #Complétez ici par les paramètres à tester\n",
+    "min_samples_split_values = [] #Complétez ici par les paramètres à tester\n",
+    "\n",
+    "# Liste pour sauveagrder les meilleurs résultats\n",
+    "best_score = np.inf\n",
+    "best_params = {}\n",
+    "\n",
+    "MAE_best_score = []\n",
+    "MSE_best_score = []\n",
+    "RMSE_best_score = []"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "id": "47da5172",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "#Complétez ici avec votre code"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "id": "d4936c46",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "# Meilleurs résultats\n",
+    "print(\"Meilleurs paramètres:\", best_params)\n",
+    "print(\"Meilleure RMSE :\", best_score)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "id": "3215c463",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "# Métriques sur tous les folds\n",
+    "\n",
+    "#RMSE\n",
+    "for fold, rmse in enumerate(RMSE_best_score, start=1):\n",
+    "    print(f\"Fold {fold} RMSE:\", rmse)\n"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "id": "bb9a5c9b",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "#MAE\n",
+    "for fold, mse in enumerate(MSE_best_score, start=1):\n",
+    "    print(f\"Fold {fold} MSE:\", mse)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "id": "0f0768ad",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "#MSE\n",
+    "for fold, mae in enumerate(MAE_best_score, start=1):\n",
+    "    print(f\"Fold {fold} MAE:\", mae)"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "802a625f",
+   "metadata": {},
+   "source": [
+    "**Question :** Commentez les résultats"
+   ]
+  }
+ ],
+ "metadata": {
+  "kernelspec": {
+   "display_name": "studies",
+   "language": "python",
+   "name": "python3"
+  },
+  "language_info": {
+   "codemirror_mode": {
+    "name": "ipython",
+    "version": 3
+   },
+   "file_extension": ".py",
+   "mimetype": "text/x-python",
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+}