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ENI-Jupyter/M05_TP01_Solution.ipynb
johanleroy 10477cdf94 TP
2025-09-19 08:58:26 +02:00

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{
"cells": [
{
"cell_type": "markdown",
"id": "fd78eddb",
"metadata": {},
"source": [
"# TP1 du module 5 : l'apprentissage supervisé\n",
"\n",
"Dans ce TP, nous allons mettre en pratique les principes de l'apprentissage supervisé. Objectifs :\n",
"* Préparer des jeux de données pour l'apprentissage supervisé\n",
"* Entraîner un modèle d'arbre de décision\n",
"* Evaluer les performances d'un modèle de classification\n",
"* Entraîner et évaluer un modèle de régression"
]
},
{
"cell_type": "code",
"id": "f423b9af",
"metadata": {
"ExecuteTime": {
"end_time": "2025-09-17T13:02:49.883205Z",
"start_time": "2025-09-17T13:02:42.389996Z"
}
},
"source": [
"# Ajoutez ici les imports de librairies nécessaires\n",
"import matplotlib.pyplot as plt\n",
"import numpy as np\n",
"import pandas as pd\n",
"\n",
"from sklearn.datasets import load_diabetes\n",
"from sklearn.linear_model import LinearRegression, Lasso\n",
"from sklearn.metrics import accuracy_score, precision_score, recall_score, confusion_matrix, ConfusionMatrixDisplay, mean_squared_error\n",
"from sklearn.model_selection import train_test_split, cross_val_score\n",
"from sklearn.preprocessing import PolynomialFeatures\n",
"from sklearn.tree import DecisionTreeClassifier, plot_tree, DecisionTreeRegressor"
],
"outputs": [],
"execution_count": 1
},
{
"cell_type": "markdown",
"id": "5baf53df",
"metadata": {},
"source": [
"## Création de modèles de classification pour le Titanic\n",
"\n",
"1. Commencez par recharger votre jeu de données sur le Titanic, à partir du csv que vous aviez enregistré à la fin du TP du module 4. Ainsi, vous obtenez un jeu de données déjà préparé pour l'apprentissage."
]
},
{
"cell_type": "code",
"id": "fb6a795c",
"metadata": {
"ExecuteTime": {
"end_time": "2025-09-17T13:02:49.913092Z",
"start_time": "2025-09-17T13:02:49.894555Z"
}
},
"source": [
"titanic = pd.read_csv(\"Titanic.csv\")\n",
"titanic.head()"
],
"outputs": [
{
"data": {
"text/plain": [
" Survived Pclass Age Fare Famille Sex_male Embarked_C Embarked_Q \\\n",
"0 0 3 22.0 7.2500 1 1.0 0.0 0.0 \n",
"1 1 1 38.0 71.2833 1 0.0 1.0 0.0 \n",
"2 1 3 26.0 7.9250 0 0.0 0.0 0.0 \n",
"3 1 1 35.0 53.1000 1 0.0 0.0 0.0 \n",
"4 0 3 35.0 8.0500 0 1.0 0.0 0.0 \n",
"\n",
" Embarked_S Embarked_U \n",
"0 1.0 0.0 \n",
"1 0.0 0.0 \n",
"2 1.0 0.0 \n",
"3 1.0 0.0 \n",
"4 1.0 0.0 "
],
"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>Survived</th>\n",
" <th>Pclass</th>\n",
" <th>Age</th>\n",
" <th>Fare</th>\n",
" <th>Famille</th>\n",
" <th>Sex_male</th>\n",
" <th>Embarked_C</th>\n",
" <th>Embarked_Q</th>\n",
" <th>Embarked_S</th>\n",
" <th>Embarked_U</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>0</th>\n",
" <td>0</td>\n",
" <td>3</td>\n",
" <td>22.0</td>\n",
" <td>7.2500</td>\n",
" <td>1</td>\n",
" <td>1.0</td>\n",
" <td>0.0</td>\n",
" <td>0.0</td>\n",
" <td>1.0</td>\n",
" <td>0.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1</th>\n",
" <td>1</td>\n",
" <td>1</td>\n",
" <td>38.0</td>\n",
" <td>71.2833</td>\n",
" <td>1</td>\n",
" <td>0.0</td>\n",
" <td>1.0</td>\n",
" <td>0.0</td>\n",
" <td>0.0</td>\n",
" <td>0.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2</th>\n",
" <td>1</td>\n",
" <td>3</td>\n",
" <td>26.0</td>\n",
" <td>7.9250</td>\n",
" <td>0</td>\n",
" <td>0.0</td>\n",
" <td>0.0</td>\n",
" <td>0.0</td>\n",
" <td>1.0</td>\n",
" <td>0.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3</th>\n",
" <td>1</td>\n",
" <td>1</td>\n",
" <td>35.0</td>\n",
" <td>53.1000</td>\n",
" <td>1</td>\n",
" <td>0.0</td>\n",
" <td>0.0</td>\n",
" <td>0.0</td>\n",
" <td>1.0</td>\n",
" <td>0.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>4</th>\n",
" <td>0</td>\n",
" <td>3</td>\n",
" <td>35.0</td>\n",
" <td>8.0500</td>\n",
" <td>0</td>\n",
" <td>1.0</td>\n",
" <td>0.0</td>\n",
" <td>0.0</td>\n",
" <td>1.0</td>\n",
" <td>0.0</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
}
],
"execution_count": 2
},
{
"cell_type": "markdown",
"id": "ca2175c6",
"metadata": {},
"source": [
"2. Séparer vos données en mettant d'un côté les attributs, de l'autre la cible à prédire. Ensuite, séparer encore ces groupes entre entraînement et test (proportion de 0.2)"
]
},
{
"cell_type": "code",
"id": "eaf3faeb",
"metadata": {
"ExecuteTime": {
"end_time": "2025-09-17T13:02:49.933629Z",
"start_time": "2025-09-17T13:02:49.925558Z"
}
},
"source": [
"X = titanic.drop(['Survived'], axis=1)\n",
"y = titanic['Survived']\n",
"\n",
"X_train, X_test, y_train, y_test = train_test_split(X, y, test_size=0.2)"
],
"outputs": [],
"execution_count": 3
},
{
"cell_type": "markdown",
"id": "0fffa149",
"metadata": {},
"source": [
"3. Créez un arbre de décision, sans option particulière pour l'instant. Entraînez-le, puis évaluez-le à l'aide de l'accuracy, sur les jeux de données crées ci-dessus. Comparez ce score avec le score moyen obtenu en effectuant une validation croisée sur l'ensemble du jeu de données."
]
},
{
"cell_type": "code",
"id": "75244332",
"metadata": {
"ExecuteTime": {
"end_time": "2025-09-17T13:02:50.021459Z",
"start_time": "2025-09-17T13:02:49.983049Z"
}
},
"source": [
"tree = DecisionTreeClassifier()\n",
"tree.fit(X_train, y_train)\n",
"print(\"Accuracy sur les données de test : \", np.round(tree.score(X_test, y_test),2))\n",
"print(\"Score moyen par validation croisée : \", np.round(np.mean(cross_val_score(tree, X, y, cv=5)), 2))"
],
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Accuracy sur les données de test : 0.79\n",
"Score moyen par validation croisée : 0.78\n"
]
}
],
"execution_count": 4
},
{
"cell_type": "markdown",
"id": "949b2215",
"metadata": {},
"source": [
"4. Calculer également la précision et le rappel. Cherchez notamment dans la documentation comment indiquer laquelle des deux classes considérer comme la classe positive. Quelles observations pouvez-vous faire ?"
]
},
{
"cell_type": "code",
"id": "21576d9a",
"metadata": {
"ExecuteTime": {
"end_time": "2025-09-17T13:02:50.184497Z",
"start_time": "2025-09-17T13:02:50.171528Z"
}
},
"source": [
"y_pred = tree.predict(X_test)\n",
"\n",
"print(\"Précision : \", np.round(precision_score(y_test, y_pred, average='binary', pos_label=1),2))\n",
"print(\"Rappel : \", np.round(recall_score(y_test, y_pred, average='binary', pos_label=1),2))\n"
],
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Précision : 0.7\n",
"Rappel : 0.68\n"
]
}
],
"execution_count": 5
},
{
"cell_type": "markdown",
"id": "43b14d19",
"metadata": {},
"source": [
"**Observations :** il n'y a pas d'écart important entre accuracy, précision et rappel. Il semble donc qu'il n'y ait pas de déséquilibre notable au niveau des prédictions."
]
},
{
"cell_type": "markdown",
"id": "4ebfa508",
"metadata": {},
"source": [
"5. Afficher la matrice de confusion pour cet arbre de décision, sur le jeu de test. Commencez par simplement l'afficher de manière textuelle, puis travailler votre affichage à l'aide de matplotlib afin d'ajouter des couleurs relatives au nombre d'éléments dans chaque case de la matrice."
]
},
{
"cell_type": "code",
"id": "0eadce28",
"metadata": {
"ExecuteTime": {
"end_time": "2025-09-17T13:02:50.272301Z",
"start_time": "2025-09-17T13:02:50.266077Z"
}
},
"source": [
"# Affichage textuel\n",
"confusion_matrix(y_test, y_pred)"
],
"outputs": [
{
"data": {
"text/plain": [
"array([[98, 18],\n",
" [20, 43]])"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
}
],
"execution_count": 6
},
{
"cell_type": "code",
"id": "68993a30",
"metadata": {
"ExecuteTime": {
"end_time": "2025-09-17T13:02:50.509249Z",
"start_time": "2025-09-17T13:02:50.324774Z"
}
},
"source": [
"# Affichage plus visuel\n",
"ConfusionMatrixDisplay.from_estimator(tree, X_test, y_test, cmap=plt.cm.Blues, display_labels=['Died', 'Survived'])\n",
"plt.show()"
],
"outputs": [
{
"data": {
"text/plain": [
"<Figure size 640x480 with 2 Axes>"
],
"image/png": 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"
},
"metadata": {},
"output_type": "display_data",
"jetTransient": {
"display_id": null
}
}
],
"execution_count": 7
},
{
"cell_type": "markdown",
"id": "35152af4",
"metadata": {},
"source": [
"6. Quelle est la profondeur de l'arbre de décision que vous avez créé ?"
]
},
{
"cell_type": "code",
"id": "8e11c4ce",
"metadata": {
"ExecuteTime": {
"end_time": "2025-09-17T13:02:50.553882Z",
"start_time": "2025-09-17T13:02:50.551346Z"
}
},
"source": [
"print(tree.tree_.max_depth)"
],
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"17\n"
]
}
],
"execution_count": 8
},
{
"cell_type": "markdown",
"id": "81749549",
"metadata": {},
"source": [
"7. Créer un deuxième arbre de décision, en limitant sa profondeur à trois niveaux. Affichez son accuracy sur les données de test : que constatez-vous, et comment pouvez-vous l'expliquer ?"
]
},
{
"cell_type": "code",
"id": "37d8da95",
"metadata": {
"ExecuteTime": {
"end_time": "2025-09-17T13:02:50.646047Z",
"start_time": "2025-09-17T13:02:50.638537Z"
}
},
"source": [
"tree_max_depth_3 = DecisionTreeClassifier(max_depth=3)\n",
"tree_max_depth_3.fit(X_test, y_test)\n",
"print(\"Accuracy : \", np.round(tree_max_depth_3.score(X_test, y_test),2))"
],
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Accuracy : 0.84\n"
]
}
],
"execution_count": 9
},
{
"cell_type": "markdown",
"id": "a6a60fc7",
"metadata": {},
"source": [
"**Observation :** en limitant la profondeur de l'arbre, le score augmente. Cela est du au fait que limiter la profondeur de l'arbre permet d'éviter un phénomène de surapprentissage."
]
},
{
"cell_type": "markdown",
"id": "fa541c9a",
"metadata": {},
"source": [
"8. Visualisez ce nouvel arbre de décision : prenez garde à bien faire apparaître les labels du jeu de données, et remplacez les valeurs 0 et 1 par des labels textuels de votre choix (ex : 'Died' et 'Survived'). Quelles observations pouvez-vous faire sur cet arbre ? Les décisions vous paraissent-elles cohérentes avec l'analyse des données faites dans le module 4 ?"
]
},
{
"cell_type": "code",
"id": "3db9ec07",
"metadata": {
"ExecuteTime": {
"end_time": "2025-09-17T13:02:51.004765Z",
"start_time": "2025-09-17T13:02:50.698668Z"
}
},
"source": [
"fig = plt.figure(figsize=(10, 10))\n",
"plot_tree(tree_max_depth_3, filled=True, feature_names=X.columns, class_names=['Died', 'Survived'])\n",
"plt.show()"
],
"outputs": [
{
"data": {
"text/plain": [
"<Figure size 1000x1000 with 1 Axes>"
],
"image/png": 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"
},
"metadata": {},
"output_type": "display_data",
"jetTransient": {
"display_id": null
}
}
],
"execution_count": 10
},
{
"cell_type": "markdown",
"id": "a7810558",
"metadata": {},
"source": [
"9. Vous allez à présent comparer les performances d'arbre de profondeurs différentes. Créez différents arbre, en faisant varier la profondeur entre 1 et la profondeur trouvée à la question 6. Pour chaque arbre, calculer son score (accuracy) à l'aide d'une validation croisée à 5 feuilles. Sur un graphique, représentez l'évolution du score en fonction de la profondeur de l'arbre. \n",
"Affichez également la profondeur pour lequel le score est maximal.\n",
"Qu'observez-vous ?"
]
},
{
"cell_type": "code",
"id": "12852820",
"metadata": {
"ExecuteTime": {
"end_time": "2025-09-17T13:02:51.538976Z",
"start_time": "2025-09-17T13:02:51.015353Z"
}
},
"source": [
"scores = []\n",
"\n",
"for i in range(1, 20):\n",
" model = DecisionTreeClassifier(max_depth=i)\n",
" score_val = np.mean(cross_val_score(model, X, y, cv=5))\n",
" scores.append(score_val)\n",
" \n",
"plt.plot(range(1, 20), scores)\n",
"plt.xticks(range(1, 20))\n",
"plt.xlabel('Profondeur de l\\'arbre')\n",
"plt.ylabel('Accuracy')\n",
"plt.title('Evolution du score en fonction de la profondeur de l\\'arbre de décision')\n",
"plt.show()\n",
"\n",
"prof_max = np.argmax(scores) + 1\n",
"print(\"Score maximum pour une profondeur de\", prof_max)"
],
"outputs": [
{
"data": {
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
],
"image/png": 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"
},
"metadata": {},
"output_type": "display_data",
"jetTransient": {
"display_id": null
}
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Score maximum pour une profondeur de 5\n"
]
}
],
"execution_count": 11
},
{
"cell_type": "markdown",
"id": "14bb73c3",
"metadata": {},
"source": [
"**Observation :** au départ, le score augmente avec la profondeur. Avec une profondeur trop basse, on a du sous-apprentissage. Mais ensuite, le score diminue alors que la profondeur augmente : on bascule dans du sur-apprentissage. Une profondeur de 5 semble donner les meilleurs résultats."
]
},
{
"cell_type": "markdown",
"id": "906f7111",
"metadata": {},
"source": [
"10. Comparez deux critères pouvant être utilisé pour constuire l'arbre de décision : coefficient de gini et mesure d'entropie. Pour la profondeur de l'arbre,\n",
"Avec un validation croisée, affichez sur un histogramme les trois valeurs moyennes obtenues. Voyez-vous un critère qui se détache des autres par ses performances ?"
]
},
{
"cell_type": "code",
"id": "bdfe567e",
"metadata": {
"ExecuteTime": {
"end_time": "2025-09-17T13:02:51.650439Z",
"start_time": "2025-09-17T13:02:51.548595Z"
}
},
"source": [
"scores = []\n",
"criteres = ['gini', 'entropy']\n",
"\n",
"for c in criteres : \n",
" model = DecisionTreeClassifier(max_depth=prof_max, criterion=c)\n",
" score_val = np.mean(cross_val_score(model, X, y, cv=5))\n",
" scores.append(score_val)\n",
" \n",
"plt.bar(criteres, scores)\n",
"plt.show()"
],
"outputs": [
{
"data": {
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
],
"image/png": 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5YuHqe9/73p667u7u///CY8bE1q1b47zzzjvgvPLy8qIAAMPfgEZGxo4dGzU1NbF+/fpe4SIdz549+4D2U6ZMiSeeeCIef/zxnvK+970v3vnOdxbfm34BAAY0MpKkbb0LFiyImTNnxqxZs2LlypXR2dlZ7K5J5s+fH5MnTy7WfaT7kFx00UW9zj/55JOLr2+uBwBGpgGHkblz58auXbti2bJlxaLVGTNmREtLS8+i1m3bthU7bAAAjkgYSRYvXlyUvmzYsOGg5z7wwAOH85IAwDBlCAMAyEoYAQCyEkYAgKyEEQAgK2EEAMhKGAEAshJGAICshBEAICthBADIShgBALISRgCArIQRACArYQQAyEoYAQCyEkYAgKyEEQAgK2EEAMhKGAEAshJGAICshBEAICthBADIShgBALISRgCArIQRACArYQQAyEoYAQCyEkYAgKyEEQAgK2EEAMhKGAEAshJGAICshBEAYOiFkcbGxqiuro6Kioqora2N1tbWftuuXbs2Zs6cGSeffHKccMIJMWPGjPja17726/QZABjJYaS5uTmWLFkSy5cvjy1btsT06dNjzpw5sXPnzj7bn3rqqXHzzTfHpk2b4r/+679i4cKFRfn2t789GP0HAEZaGGloaIj6+voiUEydOjVWrVoV48aNi6ampj7bX3nllXHttdfGhRdeGOedd17ccMMNMW3atHjssccGo/8AwEgKI/v27YvNmzdHXV3dLy8wenRxnEY+fpVSqRTr16+PrVu3xm//9m/3227v3r3R0dHRqwAAw9OAwsju3bujq6srJk6c2Ks+HW/fvr3f89rb22P8+PExduzYuPrqq+Ov/uqv4qqrruq3/YoVK2LChAk9paqqaiDdBACGkKOym+bEE0+Mxx9/PL7//e/HXXfdVaw52bBhQ7/tly5dWgSY/aWtre1odBMAyGDMQBpXVlZGWVlZ7Nixo1d9Op40aVK/56WpnPPPP7/4Pu2mefrpp4vRj7SepC/l5eVFAQCGvwGNjKRplpqammLdx37d3d3F8ezZsw/5OumctC4EAGBAIyNJmmJZsGBBce+QWbNmxcqVK6Ozs7PYXZPMnz8/Jk+eXIx8JOlrapt20qQA8sgjjxT3GbnvvvsG/90AAMM/jMydOzd27doVy5YtKxatpmmXlpaWnkWt27ZtK6Zl9ktB5WMf+1i89NJLcfzxx8eUKVPi61//enEdAIBRpbTf9hiXtvamXTVpMetJJ500qNeuvmndoF4PhpsX7r46hgOfdTj6n/ND/fvt2TQAQFbCCACQlTACAGQljAAAWQkjAEBWwggAkJUwAgBkJYwAAFkJIwBAVsIIAJCVMAIAZCWMAABZCSMAQFbCCACQlTACAGQljAAAWQkjAEBWwggAkJUwAgBkJYwAAFkJIwBAVsIIAJCVMAIAZCWMAABZCSMAQFbCCACQlTACAGQljAAAWQkjAEBWwggAkJUwAgBkJYwAAEMvjDQ2NkZ1dXVUVFREbW1ttLa29tt29erVcfnll8cpp5xSlLq6uoO2BwBGlgGHkebm5liyZEksX748tmzZEtOnT485c+bEzp07+2y/YcOGmDdvXnz3u9+NTZs2RVVVVbzrXe+Kl19+eTD6DwCMtDDS0NAQ9fX1sXDhwpg6dWqsWrUqxo0bF01NTX22f/DBB+NjH/tYzJgxI6ZMmRJf+cpXoru7O9avXz8Y/QcARlIY2bdvX2zevLmYaum5wOjRxXEa9TgUe/bsiV/84hdx6qmn9ttm79690dHR0asAAMPTgMLI7t27o6urKyZOnNirPh1v3779kK7xqU99Ks4666xegebNVqxYERMmTOgpaWoHABiejupumrvvvjvWrFkT3/zmN4vFr/1ZunRptLe395S2traj2U0A4CgaM5DGlZWVUVZWFjt27OhVn44nTZp00HPvueeeIow8+uijMW3atIO2LS8vLwoAMPwNaGRk7NixUVNT02vx6f7FqLNnz+73vL/8y7+MO++8M1paWmLmzJm/Xo8BgJE7MpKkbb0LFiwoQsWsWbNi5cqV0dnZWeyuSebPnx+TJ08u1n0kn/vc52LZsmXx0EMPFfcm2b+2ZPz48UUBAEa2AYeRuXPnxq5du4qAkYJF2rKbRjz2L2rdtm1bscNmv/vuu6/YhfP7v//7va6T7lNy2223DcZ7AABGUhhJFi9eXJT+bnL2Ri+88MLh9QwAGBE8mwYAyEoYAQCyEkYAgKyEEQAgK2EEAMhKGAEAshJGAICshBEAICthBADIShgBALISRgCArIQRACArYQQAyEoYAQCyEkYAgKyEEQAgK2EEAMhKGAEAshJGAICshBEAICthBADIShgBALISRgCArIQRACArYQQAyEoYAQCyEkYAgKyEEQAgK2EEAMhKGAEAshJGAICshBEAYOiFkcbGxqiuro6Kioqora2N1tbWfts+9dRT8YEPfKBoP2rUqFi5cuWv018AYKSHkebm5liyZEksX748tmzZEtOnT485c+bEzp07+2y/Z8+eOPfcc+Puu++OSZMmDUafAYCRHEYaGhqivr4+Fi5cGFOnTo1Vq1bFuHHjoqmpqc/2v/VbvxWf//zn40Mf+lCUl5cPRp8BgJEaRvbt2xebN2+Ourq6X15g9OjieNOmTYPWqb1790ZHR0evAgAMTwMKI7t3746urq6YOHFir/p0vH379kHr1IoVK2LChAk9paqqatCuDQAcW47J3TRLly6N9vb2ntLW1pa7SwDAETJmII0rKyujrKwsduzY0as+HQ/m4tS0tsT6EgAYGQY0MjJ27NioqamJ9evX99R1d3cXx7Nnzz4S/QMAhrkBjYwkaVvvggULYubMmTFr1qziviGdnZ3F7ppk/vz5MXny5GLdx/5Frz/84Q97vn/55Zfj8ccfj/Hjx8f5558/2O8HABjuYWTu3Lmxa9euWLZsWbFodcaMGdHS0tKzqHXbtm3FDpv9fvzjH8cll1zSc3zPPfcU5YorrogNGzYM1vsAAEZKGEkWL15clL68OWCkO6+WSqXD6x0AMOwdk7tpAICRQxgBALISRgCArIQRACArYQQAyEoYAQCyEkYAgKyEEQAgK2EEAMhKGAEAshJGAICshBEAICthBADIShgBALISRgCArIQRACArYQQAyEoYAQCyEkYAgKyEEQAgK2EEAMhKGAEAshJGAICshBEAICthBADIShgBALISRgCArIQRACArYQQAyEoYAQCyEkYAgKyEEQBg6IWRxsbGqK6ujoqKiqitrY3W1taDtn/44YdjypQpRfuLL744HnnkkcPtLwAw0sNIc3NzLFmyJJYvXx5btmyJ6dOnx5w5c2Lnzp19tt+4cWPMmzcvrr/++vjBD34Q11xzTVGefPLJweg/ADDSwkhDQ0PU19fHwoULY+rUqbFq1aoYN25cNDU19dn+i1/8Yrz73e+OT37yk3HhhRfGnXfeGW9729vir//6rwej/wDAEDdmII337dsXmzdvjqVLl/bUjR49Ourq6mLTpk19npPq00jKG6WRlH/4h3/o93X27t1blP3a29uLrx0dHTHYuvfuGfRrwnByJD53Ofisw9H/nO+/bqlUGrwwsnv37ujq6oqJEyf2qk/HzzzzTJ/nbN++vc/2qb4/K1asiNtvv/2A+qqqqoF0FxgEE1bm7gEw1D/nr732WkyYMGFwwsjRkkZe3jia0t3dHT/96U/jtNNOi1GjRmXtG0dOStApcLa1tcVJJ52UuzvAEeKzPnKUSqUiiJx11lkHbTegMFJZWRllZWWxY8eOXvXpeNKkSX2ek+oH0j4pLy8vyhudfPLJA+kqQ1j65eQXFAx/Pusjw4SDjIgc1gLWsWPHRk1NTaxfv77XqEU6nj17dp/npPo3tk++853v9NseABhZBjxNk6ZPFixYEDNnzoxZs2bFypUro7Ozs9hdk8yfPz8mT55crPtIbrjhhrjiiivi3nvvjauvvjrWrFkT//Ef/xFf/vKXB//dAADDP4zMnTs3du3aFcuWLSsWoc6YMSNaWlp6Fqlu27at2GGz36WXXhoPPfRQ3HLLLfHpT386fvM3f7PYSXPRRRcN7jthyEtTc+n+NW+eogOGF5913mxU6VfttwEAOII8mwYAyEoYAQCyEkYAgKyEEY4J6SnQaWfWodqwYUNxA7xXX331iPYLgCPPAlaOCWmH1gknnFA8dPFQn5OU7sqbdnG5Ky8cW2677bZi1+Tjjz+euysMEcfk7eAZeU4//fQY6A34DnYXX+DY94tf/CKOO+643N3gGGCahqMiPZvgwx/+cDH6ceaZZ8YXvvCFuPLKK+PjH/94n9M0abTjK1/5Slx77bXFaEm6P823vvWtnp+bpoEjJ91ZO9248jd+4zfi+OOPj+nTp8c3vvGNXp+9dGftdPPL9PlM95PaunVr8fMHHnigeNDpf/7nfxbtUkl1Sfr+vvvui/e9733F74K77rqrqE915513XvGPjAsuuCC+9rWv9erP/vN+93d/t+jPueee29Of5Hd+53di8eLFB4y2puu9+Q7gHKPSNA0caYsWLSqdc845pUcffbT0xBNPlK699trSiSeeWLrhhhuKn6effeELX+hpn/7XPPvss0sPPfRQ6b//+79Lf/7nf14aP3586Sc/+Unx8+9+97tFm5/97GfZ3hMMV5/5zGdKU6ZMKbW0tJSee+650le/+tVSeXl5acOGDT2fvdra2uL4qaeeKl1++eWlSy+9tDh3z549pb/4i78ovfWtby298sorRUl1STrvjDPOKDU1NRXXffHFF0tr164tHXfccaXGxsbS1q1bS/fee2+prKys9K//+q89/UnnnXbaaaXVq1cXbW655ZaizQ9/+MPi5w8++GDplFNOKf385z/vOaehoaFUXV1d6u7uPur//Rg4YYQjrqOjo/hl8/DDD/fUvfrqq6Vx48YdNIykXzj7vf7660XdP//zPxfHwggcGekPevpsbty4sVf99ddfX5o3b17PZy/9w2K/devWFXX/+7//WxwvX768NH369AOundp8/OMf71WXQkx9fX2vug9+8IOl97znPb3O+8hHPtKrTQpDH/3oR4vv0+umMNLc3Nzz82nTppVuu+22w/yvwNFmmoYj7vnnny/mhtOzjN74FMc0HHsw06ZN6/k+Demmp3vu3LnziPYVRrpnn3029uzZE1dddVWMHz++p/zd3/1dPPfcc31+PtPUa3Ion880tfNGTz/9dFx22WW96tJxqn+jNz9cNR3vb1NRURHXXXddNDU1FcdbtmyJJ598Mv74j/94AO+cnCxg5Zj15oVtad44zWUDR87rr79efF23bl3x0NM3Ss+S2R9I3vj53L+j7VA+n+kfFkfCokWLimelvfTSS/HVr361WEdyzjnnHJHXYvAZGeGIS4vN0i+u73//+z117e3t8aMf/Shrv4ADTZ06tQgd6aGn559/fq9SVVV1SNdIC0e7uroOqe2FF14Y//7v/96rLh2nfrzR9773vQOO07n7XXzxxcWoy+rVq4uHs/7Jn/zJIb0+xwYjIxxxJ554YixYsCA++clPxqmnnhpnnHFG8cTO9HRn9wiBY+/z+olPfCJuvPHGYqTjHe94R/GPhxQQ0lTpoYw2pN1x//M//1PcZ+Tss88urtnfE3rT74U/+IM/iEsuuSTq6urin/7pn2Lt2rXx6KOP9mr38MMPF2Ej9efBBx+M1tbWuP/++w8YHUm7atLoS9qJx9BhZISjoqGhoZjj/b3f+73iF06aE07/qklzvcCx5c4774xbb7212N6bPqfvfve7i2mbtNX3UHzgAx8oznnnO99Z3EPo7//+7/tte80118QXv/jFuOeee+Ktb31rfOlLXyqmWdLW/zdK24XXrFlTrFVJ61fSNd88ejJv3rwYM2ZM8dXvlqHFHVjJorOzs5iPvvfee+P666/P3R3gGJZGUL/5zW8WweVgXnjhheJ+JWlK+G1ve9tR6x+/PtM0HBU/+MEP4plnnil21KQh3zvuuKOof//735+7a8AQl3br/eQnP4lbbrkl3v72twsiQ5AwwlGThmHTXRrT4raampr4t3/7t6isrMzdLWCIS+tZ0pTQW97yll53ZmXoME0DAGRlASsAkJUwAgBkJYwAAFkJIwBAVsIIAJCVMAIAZCWMAABZCSMAQFbCCAAQOf0/z5DfCLb73IMAAAAASUVORK5CYII="
},
"metadata": {},
"output_type": "display_data",
"jetTransient": {
"display_id": null
}
}
],
"execution_count": 12
},
{
"cell_type": "markdown",
"id": "0e718e4d",
"metadata": {},
"source": [
"**Observations :** les performances des deux modèles ne présentent pas de différence pour le jeu de données du Titanic."
]
},
{
"cell_type": "markdown",
"id": "3819b10a",
"metadata": {},
"source": [
"## Créer un modèle de regression\n",
"\n",
"Pour tester le concept de modèle de régression, nous ne pouvons pas utiliser le jeu de données sur le Titanic. A la place, nous allons nous intéresser à un jeu de données présentant l'évolution de la maladie chez des patients diabétiques. L'objectif sera de prédire l'évolution de la maladie en un an, en se basant sur des données mesurées un an avant. Ce jeu de données est directement disponible via la librairie scikit-learn. Documentation : https://scikit-learn.org/stable/modules/generated/sklearn.datasets.load_diabetes.html\n",
"\n",
"1. Commencez par charger les données dans deux dataframe : un pour les attributs, un pour la cible à prédire."
]
},
{
"cell_type": "code",
"id": "39d7c581",
"metadata": {
"ExecuteTime": {
"end_time": "2025-09-17T13:02:51.672386Z",
"start_time": "2025-09-17T13:02:51.657081Z"
}
},
"source": [
"diabetes_X, diabetes_y = load_diabetes(return_X_y=True, as_frame=True)"
],
"outputs": [],
"execution_count": 13
},
{
"cell_type": "markdown",
"id": "971982f5",
"metadata": {},
"source": [
"2. Affichez les premières lignes des attributs. Avez-vous bien repéré contenant la valeur à prédire ?"
]
},
{
"cell_type": "code",
"id": "3a508658",
"metadata": {
"ExecuteTime": {
"end_time": "2025-09-17T13:02:51.688736Z",
"start_time": "2025-09-17T13:02:51.680622Z"
}
},
"source": [
"diabetes_X.head()"
],
"outputs": [
{
"data": {
"text/plain": [
" age sex bmi bp s1 s2 s3 \\\n",
"0 0.038076 0.050680 0.061696 0.021872 -0.044223 -0.034821 -0.043401 \n",
"1 -0.001882 -0.044642 -0.051474 -0.026328 -0.008449 -0.019163 0.074412 \n",
"2 0.085299 0.050680 0.044451 -0.005670 -0.045599 -0.034194 -0.032356 \n",
"3 -0.089063 -0.044642 -0.011595 -0.036656 0.012191 0.024991 -0.036038 \n",
"4 0.005383 -0.044642 -0.036385 0.021872 0.003935 0.015596 0.008142 \n",
"\n",
" s4 s5 s6 \n",
"0 -0.002592 0.019907 -0.017646 \n",
"1 -0.039493 -0.068332 -0.092204 \n",
"2 -0.002592 0.002861 -0.025930 \n",
"3 0.034309 0.022688 -0.009362 \n",
"4 -0.002592 -0.031988 -0.046641 "
],
"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>age</th>\n",
" <th>sex</th>\n",
" <th>bmi</th>\n",
" <th>bp</th>\n",
" <th>s1</th>\n",
" <th>s2</th>\n",
" <th>s3</th>\n",
" <th>s4</th>\n",
" <th>s5</th>\n",
" <th>s6</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>0</th>\n",
" <td>0.038076</td>\n",
" <td>0.050680</td>\n",
" <td>0.061696</td>\n",
" <td>0.021872</td>\n",
" <td>-0.044223</td>\n",
" <td>-0.034821</td>\n",
" <td>-0.043401</td>\n",
" <td>-0.002592</td>\n",
" <td>0.019907</td>\n",
" <td>-0.017646</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1</th>\n",
" <td>-0.001882</td>\n",
" <td>-0.044642</td>\n",
" <td>-0.051474</td>\n",
" <td>-0.026328</td>\n",
" <td>-0.008449</td>\n",
" <td>-0.019163</td>\n",
" <td>0.074412</td>\n",
" <td>-0.039493</td>\n",
" <td>-0.068332</td>\n",
" <td>-0.092204</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2</th>\n",
" <td>0.085299</td>\n",
" <td>0.050680</td>\n",
" <td>0.044451</td>\n",
" <td>-0.005670</td>\n",
" <td>-0.045599</td>\n",
" <td>-0.034194</td>\n",
" <td>-0.032356</td>\n",
" <td>-0.002592</td>\n",
" <td>0.002861</td>\n",
" <td>-0.025930</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3</th>\n",
" <td>-0.089063</td>\n",
" <td>-0.044642</td>\n",
" <td>-0.011595</td>\n",
" <td>-0.036656</td>\n",
" <td>0.012191</td>\n",
" <td>0.024991</td>\n",
" <td>-0.036038</td>\n",
" <td>0.034309</td>\n",
" <td>0.022688</td>\n",
" <td>-0.009362</td>\n",
" </tr>\n",
" <tr>\n",
" <th>4</th>\n",
" <td>0.005383</td>\n",
" <td>-0.044642</td>\n",
" <td>-0.036385</td>\n",
" <td>0.021872</td>\n",
" <td>0.003935</td>\n",
" <td>0.015596</td>\n",
" <td>0.008142</td>\n",
" <td>-0.002592</td>\n",
" <td>-0.031988</td>\n",
" <td>-0.046641</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
]
},
"execution_count": 14,
"metadata": {},
"output_type": "execute_result"
}
],
"execution_count": 14
},
{
"cell_type": "markdown",
"id": "9530d95f",
"metadata": {},
"source": [
"3. Commencez par effectuer une régression linéaire, en prenant bien soin d'avoir des données d'entraînement et de test. Quelle erreur quadratique moyenne obtenez-vous ? Comment analysez-vous ce résultat ?"
]
},
{
"cell_type": "code",
"id": "8db48a4d",
"metadata": {
"ExecuteTime": {
"end_time": "2025-09-17T13:02:51.748070Z",
"start_time": "2025-09-17T13:02:51.740531Z"
}
},
"source": [
"X_train, X_test, y_train, y_test = train_test_split(diabetes_X, diabetes_y, test_size=0.2)\n",
"\n",
"regressor = LinearRegression() \n",
"regressor.fit(X_train, y_train) \n",
"\n",
"y_pred = regressor.predict(X_test)\n",
"\n",
"print(\"Erreur quadratique moyenne : \", mean_squared_error(y_test, y_pred)) "
],
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Erreur quadratique moyenne : 3184.3145775880325\n"
]
}
],
"execution_count": 15
},
{
"cell_type": "markdown",
"id": "9e99bcc0",
"metadata": {},
"source": [
"4. Faites une représentation graphique des données réelles par rapport aux données prédites par le modèle : pour chaque attribut, représentez graphiquement les valeurs sur l'abscisse, et l'évolution de la maladie (réelle et prédite) sur les ordonnées. Colorez différement les données en fonction de si elles sont réelles ou prédites."
]
},
{
"cell_type": "code",
"id": "dd1f38e6",
"metadata": {
"ExecuteTime": {
"end_time": "2025-09-17T13:02:52.860068Z",
"start_time": "2025-09-17T13:02:51.874554Z"
}
},
"source": [
"fig, axs = plt.subplots(4, 3, figsize=(10,10))\n",
"print(len(X_test.columns))\n",
"number = 0\n",
"for column in X_test.columns:\n",
" i = number%4\n",
" j=int(number/4)\n",
" axs[i,j].scatter(X_test[column], y_test, color=\"black\", label=\"Valeur réelle\")\n",
" axs[i,j].scatter(X_test[column], y_pred, color=\"blue\", linewidth=3, label=\"Valeur prédite\")\n",
" axs[i,j].set_title(column)\n",
" axs[i,j].legend()\n",
" number+=1\n",
"\n",
"plt.show()"
],
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"10\n"
]
},
{
"data": {
"text/plain": [
"<Figure size 1000x1000 with 12 Axes>"
],
"image/png": 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"
},
"metadata": {},
"output_type": "display_data",
"jetTransient": {
"display_id": null
}
}
],
"execution_count": 16
},
{
"cell_type": "markdown",
"id": "cca8ad81",
"metadata": {},
"source": [
"5. Sur un seul graphe, affichez les valeurs prédites en fonction des valeurs réelles. Tracez également la droite d'équation y=x. Quelles observations faites-vous ?"
]
},
{
"cell_type": "code",
"id": "36cc6ccc",
"metadata": {
"ExecuteTime": {
"end_time": "2025-09-17T13:02:53.107441Z",
"start_time": "2025-09-17T13:02:53.005079Z"
}
},
"source": [
"#plt.figure(figsize=(10, 7))\n",
"plt.scatter(y_test, y_pred)\n",
"plt.plot(y_test, y_test, color='r')# droite d'équation y=x\n",
"plt.title('Valeurs réelles vs valeurs prédites')\n",
"plt.xlabel('Valeurs réelles')\n",
"plt.ylabel('Valeurs prédites')\n",
"plt.show()"
],
"outputs": [
{
"data": {
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
],
"image/png": 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"
},
"metadata": {},
"output_type": "display_data",
"jetTransient": {
"display_id": null
}
}
],
"execution_count": 17
},
{
"cell_type": "markdown",
"id": "cd4c4dc8",
"metadata": {},
"source": [
"6. Pour une régression linéaire, les valeurs sur les attributs sont cruciales. Par défaut lorsque vous avez chargé vos données avec Scikit-learn, celles-ci était normalisées. Rechargez-les en ajoutant l'option pour obtenir les données brutes. Affichez les premières lignes du dataset pour constater les différences de plage de valeurs."
]
},
{
"cell_type": "code",
"id": "07d7fce8",
"metadata": {
"ExecuteTime": {
"end_time": "2025-09-17T13:02:53.133028Z",
"start_time": "2025-09-17T13:02:53.118658Z"
}
},
"source": [
"diabetes_X_normal, diabetes_y_normal = load_diabetes(return_X_y=True, as_frame=True, scaled=False)\n",
"diabetes_X_normal.head()"
],
"outputs": [
{
"data": {
"text/plain": [
" age sex bmi bp s1 s2 s3 s4 s5 s6\n",
"0 59.0 2.0 32.1 101.0 157.0 93.2 38.0 4.0 4.8598 87.0\n",
"1 48.0 1.0 21.6 87.0 183.0 103.2 70.0 3.0 3.8918 69.0\n",
"2 72.0 2.0 30.5 93.0 156.0 93.6 41.0 4.0 4.6728 85.0\n",
"3 24.0 1.0 25.3 84.0 198.0 131.4 40.0 5.0 4.8903 89.0\n",
"4 50.0 1.0 23.0 101.0 192.0 125.4 52.0 4.0 4.2905 80.0"
],
"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>age</th>\n",
" <th>sex</th>\n",
" <th>bmi</th>\n",
" <th>bp</th>\n",
" <th>s1</th>\n",
" <th>s2</th>\n",
" <th>s3</th>\n",
" <th>s4</th>\n",
" <th>s5</th>\n",
" <th>s6</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>0</th>\n",
" <td>59.0</td>\n",
" <td>2.0</td>\n",
" <td>32.1</td>\n",
" <td>101.0</td>\n",
" <td>157.0</td>\n",
" <td>93.2</td>\n",
" <td>38.0</td>\n",
" <td>4.0</td>\n",
" <td>4.8598</td>\n",
" <td>87.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1</th>\n",
" <td>48.0</td>\n",
" <td>1.0</td>\n",
" <td>21.6</td>\n",
" <td>87.0</td>\n",
" <td>183.0</td>\n",
" <td>103.2</td>\n",
" <td>70.0</td>\n",
" <td>3.0</td>\n",
" <td>3.8918</td>\n",
" <td>69.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2</th>\n",
" <td>72.0</td>\n",
" <td>2.0</td>\n",
" <td>30.5</td>\n",
" <td>93.0</td>\n",
" <td>156.0</td>\n",
" <td>93.6</td>\n",
" <td>41.0</td>\n",
" <td>4.0</td>\n",
" <td>4.6728</td>\n",
" <td>85.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3</th>\n",
" <td>24.0</td>\n",
" <td>1.0</td>\n",
" <td>25.3</td>\n",
" <td>84.0</td>\n",
" <td>198.0</td>\n",
" <td>131.4</td>\n",
" <td>40.0</td>\n",
" <td>5.0</td>\n",
" <td>4.8903</td>\n",
" <td>89.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>4</th>\n",
" <td>50.0</td>\n",
" <td>1.0</td>\n",
" <td>23.0</td>\n",
" <td>101.0</td>\n",
" <td>192.0</td>\n",
" <td>125.4</td>\n",
" <td>52.0</td>\n",
" <td>4.0</td>\n",
" <td>4.2905</td>\n",
" <td>80.0</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
]
},
"execution_count": 18,
"metadata": {},
"output_type": "execute_result"
}
],
"execution_count": 18
},
{
"cell_type": "markdown",
"id": "655bd7ea",
"metadata": {},
"source": [
"7. Réentraînez un modèle de régression linéaire sur ces données non normalisées? Que constatez-vous ?"
]
},
{
"cell_type": "code",
"id": "3650381a",
"metadata": {
"ExecuteTime": {
"end_time": "2025-09-17T13:02:53.307493Z",
"start_time": "2025-09-17T13:02:53.300699Z"
}
},
"source": [
"X_train, X_test, y_train, y_test = train_test_split(diabetes_X_normal, diabetes_y_normal, test_size=0.2)\n",
"\n",
"regressor = LinearRegression() \n",
"regressor.fit(X_train, y_train) \n",
"\n",
"y_pred = regressor.predict(X_test)\n",
"\n",
"print(\"Erreur quadratique moyenne : \", mean_squared_error(y_test, y_pred)) "
],
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Erreur quadratique moyenne : 2918.657668476358\n"
]
}
],
"execution_count": 19
},
{
"cell_type": "markdown",
"id": "3f9fcf55",
"metadata": {},
"source": [
"8. Proposez des modèles de régression polynomiale : tester plusieurs degrés de polynôme, entre 1 et 20. Pour chacun, calculez le score obtenu, et affichez-le. Représentez graphiquement l'évolution de l'erreur quadratique moyenne en fonction du degré du polynome.\n",
"**Attention :** pour cet partie, réfléchissez aux données que vous voulez utiliser : normalisées ou non ?"
]
},
{
"cell_type": "code",
"id": "d8877d23",
"metadata": {
"ExecuteTime": {
"end_time": "2025-09-17T13:03:28.914985Z",
"start_time": "2025-09-17T13:02:53.395390Z"
}
},
"source": [
"X_train, X_test, y_train, y_test = train_test_split(diabetes_X, diabetes_y, test_size=0.2)\n",
"\n",
"scores = []\n",
"\n",
"for i in range(1, 12):\n",
" # On prépare les deux objets dont on a besoin : le préprocesseur (selon le degré considéré), et la régression linéaire\n",
" polynomial_features = PolynomialFeatures(degree=i)\n",
" linear_regression = LinearRegression()\n",
" \n",
" #On transforme les attributs d'entraînement et de test avec le préprocesseur\n",
" train_X = polynomial_features.fit_transform(X_train) \n",
" test_X = polynomial_features.transform(X_test) \n",
" \n",
" # On entraîne le modèle\n",
" linear_regression.fit(train_X, y_train) \n",
" \n",
" # On évalue le modèle\n",
" pred_y = linear_regression.predict(test_X) \n",
" score = mean_squared_error(y_test, pred_y)\n",
" scores.append(score)"
],
"outputs": [],
"execution_count": 20
},
{
"cell_type": "code",
"id": "05d7bf91",
"metadata": {
"ExecuteTime": {
"end_time": "2025-09-17T13:03:29.116728Z",
"start_time": "2025-09-17T13:03:29.010284Z"
}
},
"source": [
"print(scores)\n",
"plt.plot(range(1, 12), scores)\n",
"plt.xticks(range(1, 12))\n",
"plt.xlabel('Degré du polynôme')\n",
"plt.ylabel('Erreur quadratique moyenne')\n",
"plt.title('Evolution du score en fonction du degré du polynome')\n",
"plt.show()"
],
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[2983.7819234553604, 4126.326872198257, 2681483.6754619093, 229711.79635034958, 194770.50037077378, 194388.03248086877, 194370.08713620013, 194369.49721707308, 194369.47302106168, 194369.4720771027, 194369.4720382594]\n"
]
},
{
"data": {
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
],
"image/png": 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"
},
"metadata": {},
"output_type": "display_data",
"jetTransient": {
"display_id": null
}
}
],
"execution_count": 21
},
{
"cell_type": "markdown",
"id": "cc404583",
"metadata": {},
"source": [
"Constatez-vous une différence avec la régression linéaire simple ?"
]
},
{
"cell_type": "markdown",
"id": "e7341463",
"metadata": {},
"source": [
"## Régression avec un arbre de décision\n",
"\n",
"Il est aussi possible d'utiliser les arbres de décision pour construire un modèle de régression. En utilisant la classe adéquate de scikit-learn, proposez un arbre de régression sur le jeu de données du diabètes. Prenez soin d'analyser la profondeur de l'arbre, afin de choisir celle qui vous parait la plus pertinente. Affichez l'arbre obtenant le meilleur score.\n",
"\n",
"Comparez les résultats obtenus avec ceux de la régression linéaire et de la régression polynomiale."
]
},
{
"cell_type": "code",
"id": "af19bd1f",
"metadata": {
"ExecuteTime": {
"end_time": "2025-09-17T13:03:29.651147Z",
"start_time": "2025-09-17T13:03:29.125524Z"
}
},
"source": [
"scores = []\n",
"\n",
"for i in range(1, 20):\n",
" model = DecisionTreeRegressor(max_depth=i)\n",
" score_val = np.mean(cross_val_score(model, diabetes_X, diabetes_y, cv=5))\n",
" scores.append(score_val)\n",
" \n",
"plt.plot(range(1, 20), scores)\n",
"plt.xticks(range(1, 20))\n",
"plt.xlabel('Profondeur de l\\'arbre')\n",
"plt.ylabel('Accuracy')\n",
"plt.title('Evolution du score en fonction de la profondeur de l\\'arbre de décision')\n",
"plt.show()\n",
"\n",
"prof_max = np.argmax(scores) + 1\n",
"print(\"Score maximum pour une profondeur de\", prof_max)"
],
"outputs": [
{
"data": {
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
],
"image/png": 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"
},
"metadata": {},
"output_type": "display_data",
"jetTransient": {
"display_id": null
}
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Score maximum pour une profondeur de 2\n"
]
}
],
"execution_count": 22
},
{
"cell_type": "code",
"id": "1fcfe5df",
"metadata": {
"ExecuteTime": {
"end_time": "2025-09-17T13:03:29.830296Z",
"start_time": "2025-09-17T13:03:29.658255Z"
}
},
"source": [
"model = DecisionTreeRegressor(max_depth=prof_max)\n",
"model.fit(X_train, y_train)\n",
"plot_tree(model, filled=True, feature_names=diabetes_X.columns)"
],
"outputs": [
{
"data": {
"text/plain": [
"[Text(0.5, 0.8333333333333334, 'bmi <= 0.009\\nsquared_error = 5794.059\\nsamples = 353\\nvalue = 152.32'),\n",
" Text(0.25, 0.5, 's5 <= 0.007\\nsquared_error = 3573.722\\nsamples = 219\\nvalue = 119.868'),\n",
" Text(0.375, 0.6666666666666667, 'True '),\n",
" Text(0.125, 0.16666666666666666, 'squared_error = 2240.884\\nsamples = 156\\nvalue = 103.026'),\n",
" Text(0.375, 0.16666666666666666, 'squared_error = 4432.499\\nsamples = 63\\nvalue = 161.571'),\n",
" Text(0.75, 0.5, 's5 <= -0.001\\nsquared_error = 4888.558\\nsamples = 134\\nvalue = 205.358'),\n",
" Text(0.625, 0.6666666666666667, ' False'),\n",
" Text(0.625, 0.16666666666666666, 'squared_error = 3774.763\\nsamples = 39\\nvalue = 156.513'),\n",
" Text(0.875, 0.16666666666666666, 'squared_error = 3964.242\\nsamples = 95\\nvalue = 225.411')]"
]
},
"execution_count": 23,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
],
"image/png": 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"
},
"metadata": {},
"output_type": "display_data",
"jetTransient": {
"display_id": null
}
}
],
"execution_count": 23
},
{
"cell_type": "code",
"id": "888a47b2",
"metadata": {
"ExecuteTime": {
"end_time": "2025-09-17T13:03:29.837340Z",
"start_time": "2025-09-17T13:03:29.835732Z"
}
},
"source": [],
"outputs": [],
"execution_count": null
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3 (ipykernel)",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.9.16"
}
},
"nbformat": 4,
"nbformat_minor": 5
}