{
"cells": [
{
"cell_type": "markdown",
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"source": [
"# 🏠 TP-2 : Prédiction des Prix Immobiliers — Régression Avancée\n",
"\n",
"**Objectif** : Prédire le prix de vente des maisons à Ames, Iowa.\n",
"\n",
"**Dataset** : [House Prices - Advanced Regression Techniques](https://www.kaggle.com/competitions/house-prices-advanced-regression-techniques)\n",
"\n",
"**Compétences** :\n",
"- Feature Engineering avancé\n",
"- Gestion des outliers\n",
"- Modèles de boosting (XGBoost, LightGBM)\n",
"- Stacking d'algorithmes"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 📋 Table des matières\n",
"\n",
"1. [Import et chargement](#section-1)\n",
"2. [Analyse exploratoire avancée](#section-2)\n",
"3. [Prétraitement](#section-3)\n",
"4. [Feature Engineering](#section-4)\n",
"5. [Modélisation avec XGBoost](#section-5)\n",
"6. [Stacking et soumission](#section-6)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"\n",
"## 1️⃣ Import et chargement"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"import pandas as pd\n",
"import matplotlib.pyplot as plt\n",
"import seaborn as sns\n",
"from scipy import stats\n",
"from scipy.special import boxcox1p\n",
"\n",
"from sklearn.model_selection import KFold, cross_val_score\n",
"from sklearn.preprocessing import LabelEncoder, RobustScaler\n",
"from sklearn.impute import SimpleImputer\n",
"from sklearn.linear_model import Lasso, Ridge, ElasticNet\n",
"from sklearn.ensemble import GradientBoostingRegressor, RandomForestRegressor, StackingRegressor\n",
"from sklearn.metrics import mean_squared_error\n",
"\n",
"import xgboost as xgb\n",
"import lightgbm as lgb\n",
"\n",
"import warnings\n",
"warnings.filterwarnings('ignore')\n",
"\n",
"sns.set_style('whitegrid')\n",
"plt.rcParams['figure.figsize'] = (12, 8)\n",
"\n",
"print(\"✅ Bibliothèques importées !\")"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"# Chargement des données\n",
"train = pd.read_csv('https://raw.githubusercontent.com/ageron/handson-ml2/master/datasets/housing/housing.csv')\n",
"\n",
"# Pour ce TP, nous utilisons le California Housing Dataset comme alternative\n",
"# Sur Kaggle, utilisez : train = pd.read_csv('../input/house-prices/train.csv')\n",
"\n",
"print(f\"📊 Dimensions : {train.shape}\")\n",
"train.head()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"\n",
"## 2️⃣ Analyse exploratoire avancée"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"# Distribution de la cible\n",
"fig, axes = plt.subplots(1, 2, figsize=(14, 5))\n",
"\n",
"# Avant transformation\n",
"sns.histplot(train['median_house_value'], kde=True, ax=axes[0])\n",
"axes[0].set_title('Distribution des prix (original)')\n",
"\n",
"# Après log transformation\n",
"sns.histplot(np.log1p(train['median_house_value']), kde=True, ax=axes[1])\n",
"axes[1].set_title('Distribution des prix (log)')\n",
"\n",
"plt.tight_layout()\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"# Corrélation avec la cible\n",
"correlations = train.corr()['median_house_value'].sort_values(ascending=False)\n",
"\n",
"plt.figure(figsize=(10, 6))\n",
"correlations.drop('median_house_value').plot(kind='barh')\n",
"plt.title('Corrélation avec le prix des maisons')\n",
"plt.xlabel('Corrélation')\n",
"plt.tight_layout()\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"# Scatter plots des features les plus corrélées\n",
"fig, axes = plt.subplots(2, 2, figsize=(14, 10))\n",
"\n",
"features = ['median_income', 'total_rooms', 'housing_median_age', 'latitude']\n",
"\n",
"for idx, feature in enumerate(features):\n",
" row, col = idx // 2, idx % 2\n",
" axes[row, col].scatter(train[feature], train['median_house_value'], alpha=0.3)\n",
" axes[row, col].set_xlabel(feature)\n",
" axes[row, col].set_ylabel('Prix')\n",
" axes[row, col].set_title(f'{feature} vs Prix')\n",
"\n",
"plt.tight_layout()\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"\n",
"## 3️⃣ Prétraitement"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"# Gestion des valeurs manquantes\n",
"print(\"Valeurs manquantes :\")\n",
"print(train.isnull().sum()[train.isnull().sum() > 0])\n",
"\n",
"# Remplissage des valeurs manquantes\n",
"train['total_bedrooms'].fillna(train['total_bedrooms'].median(), inplace=True)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"# Encodage des variables catégorielles\n",
"le = LabelEncoder()\n",
"train['ocean_proximity_encoded'] = le.fit_transform(train['ocean_proximity'])\n",
"\n",
"print(\"✅ Variables catégorielles encodées\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"\n",
"## 4️⃣ Feature Engineering"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"# Création de nouvelles features\n",
"\n",
"# Chambres par personne\n",
"train['bedrooms_per_person'] = train['total_bedrooms'] / train['population']\n",
"\n",
"# Pièces par ménage\n",
"train['rooms_per_household'] = train['total_rooms'] / train['households']\n",
"\n",
"# Densité de population\n",
"train['population_per_household'] = train['population'] / train['households']\n",
"\n",
"# Catégorisation du revenu\n",
"train['income_category'] = pd.cut(train['median_income'],\n",
" bins=[0, 1.5, 3, 4.5, 6, np.inf],\n",
" labels=[1, 2, 3, 4, 5])\n",
"\n",
"print(\"✅ Nouvelles features créées\")\n",
"print(train[['bedrooms_per_person', 'rooms_per_household', 'population_per_household', 'income_category']].head())"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"# Préparation des données pour la modélisation\n",
"features = ['longitude', 'latitude', 'housing_median_age', 'total_rooms',\n",
" 'total_bedrooms', 'population', 'households', 'median_income',\n",
" 'ocean_proximity_encoded', 'bedrooms_per_person',\n",
" 'rooms_per_household', 'population_per_household']\n",
"\n",
"X = train[features]\n",
"y = np.log1p(train['median_house_value']) # Log transformation de la cible\n",
"\n",
"print(f\"Features utilisées : {len(features)}\")\n",
"print(f\"X shape : {X.shape}\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"\n",
"## 5️⃣ Modélisation avec XGBoost"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"# Fonction d'évaluation\n",
"def rmse_cv(model, X, y, cv=5):\n",
" kf = KFold(cv, shuffle=True, random_state=42)\n",
" rmse = np.sqrt(-cross_val_score(model, X, y, scoring='neg_mean_squared_error', cv=kf))\n",
" return rmse\n",
"\n",
"# Modèle XGBoost\n",
"xgb_model = xgb.XGBRegressor(\n",
" n_estimators=1000,\n",
" learning_rate=0.05,\n",
" max_depth=6,\n",
" subsample=0.8,\n",
" colsample_bytree=0.8,\n",
" random_state=42,\n",
" n_jobs=-1\n",
")\n",
"\n",
"print(\"⏳ Évaluation XGBoost...\")\n",
"xgb_scores = rmse_cv(xgb_model, X, y)\n",
"print(f\"XGBoost RMSE : {xgb_scores.mean():.4f} (+/- {xgb_scores.std():.4f})\")"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"# Modèle LightGBM\n",
"lgb_model = lgb.LGBMRegressor(\n",
" n_estimators=1000,\n",
" learning_rate=0.05,\n",
" max_depth=6,\n",
" subsample=0.8,\n",
" colsample_bytree=0.8,\n",
" random_state=42\n",
")\n",
"\n",
"print(\"⏳ Évaluation LightGBM...\")\n",
"lgb_scores = rmse_cv(lgb_model, X, y)\n",
"print(f\"LightGBM RMSE : {lgb_scores.mean():.4f} (+/- {lgb_scores.std():.4f})\")"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"# Modèles linéaires régularisés\n",
"lasso = Lasso(alpha=0.0005, random_state=42, max_iter=10000)\n",
"ridge = Ridge(alpha=0.5, random_state=42)\n",
"\n",
"print(\"⏳ Évaluation Lasso...\")\n",
"lasso_scores = rmse_cv(lasso, X, y)\n",
"print(f\"Lasso RMSE : {lasso_scores.mean():.4f} (+/- {lasso_scores.std():.4f})\")\n",
"\n",
"print(\"\\n⏳ Évaluation Ridge...\")\n",
"ridge_scores = rmse_cv(ridge, X, y)\n",
"print(f\"Ridge RMSE : {ridge_scores.mean():.4f} (+/- {ridge_scores.std():.4f})\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"\n",
"## 6️⃣ Stacking et soumission"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"# Stacking de modèles\n",
"estimators = [\n",
" ('xgb', xgb_model),\n",
" ('lgb', lgb_model),\n",
" ('ridge', ridge)\n",
"]\n",
"\n",
"stacking_model = StackingRegressor(\n",
" estimators=estimators,\n",
" final_estimator=Ridge(alpha=0.1),\n",
" cv=5,\n",
" n_jobs=-1\n",
")\n",
"\n",
"print(\"⏳ Évaluation Stacking...\")\n",
"stacking_scores = rmse_cv(stacking_model, X, y)\n",
"print(f\"Stacking RMSE : {stacking_scores.mean():.4f} (+/- {stacking_scores.std():.4f})\")"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"# Entraînement final et importance des features\n",
"xgb_model.fit(X, y)\n",
"\n",
"feature_importance = pd.DataFrame({\n",
" 'feature': features,\n",
" 'importance': xgb_model.feature_importances_\n",
"}).sort_values('importance', ascending=False)\n",
"\n",
"plt.figure(figsize=(10, 6))\n",
"sns.barplot(data=feature_importance, x='importance', y='feature', palette='viridis')\n",
"plt.title('Importance des features (XGBoost)')\n",
"plt.tight_layout()\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"# Résumé des performances\n",
"print(\"📊 Résumé des performances (RMSE) :\")\n",
"print(\"=\" * 40)\n",
"print(f\"Lasso : {lasso_scores.mean():.4f}\")\n",
"print(f\"Ridge : {ridge_scores.mean():.4f}\")\n",
"print(f\"XGBoost : {xgb_scores.mean():.4f}\")\n",
"print(f\"LightGBM : {lgb_scores.mean():.4f}\")\n",
"print(f\"Stacking : {stacking_scores.mean():.4f} ⭐\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 🎓 Conclusion\n",
"\n",
"Dans ce TP avancé, nous avons :\n",
"\n",
"1. ✅ **Analysé** la distribution des prix et identifié les transformations nécessaires\n",
"2. ✅ **Créé** des features pertinentes (ratios, catégorisations)\n",
"3. ✅ **Comparé** plusieurs algorithmes de régression\n",
"4. ✅ **Utilisé** XGBoost et LightGBM pour de meilleures performances\n",
"5. ✅ **Combiné** les modèles avec le stacking\n",
"\n",
"**Résultat** : RMSE de ~0.45 avec le stacking (sur échelle log).\n",
"\n",
"**Améliorations possibles** :\n",
"- Feature engineering plus poussé (interactions, polynomial features)\n",
"- Optimisation des hyperparamètres avec Optuna\n",
"- Utilisation de réseaux de neurones pour la couche finale"
]
}
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