{
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "# Régression logistique entraînée par descente de gradient par lot\n",
        "\n",
        "CSI4506 Introduction à l’intelligence artificielle\n",
        "\n",
        "Marcel Turcotte (École de génie électrique et d’informatique, Université\n",
        "d’Ottawa)  \n",
        "2026-09-20\n",
        "\n",
        "Ce carnet met en œuvre une régression logistique binaire avec NumPy. Le\n",
        "modèle utilise l’entropie croisée binaire et la descente de gradient par\n",
        "lot, conformément aux équations développées au cours 6.\n",
        "\n",
        "# Importations"
      ],
      "id": "dadfdbec-6940-4921-a71a-b97dd84c61d7"
    },
    {
      "cell_type": "code",
      "execution_count": 1,
      "metadata": {},
      "outputs": [],
      "source": [
        "import matplotlib.pyplot as plt\n",
        "import numpy as np\n",
        "\n",
        "from sklearn.datasets import make_blobs\n",
        "from sklearn.model_selection import train_test_split"
      ],
      "id": "aa900f3a"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "# Mise en œuvre de la régression logistique\n",
        "\n",
        "Pour une matrice $X_b$ qui comprend une colonne pour l’ordonnée à\n",
        "l’origine, la mise en œuvre repose sur quatre équations :\n",
        "\n",
        "$$\n",
        "z = X_b\\theta,\n",
        "\\qquad\n",
        "\\hat{p} = \\sigma(z),\n",
        "$$\n",
        "\n",
        "$$\n",
        "\\nabla J(\\theta) = \\frac{1}{N}X_b^\\top(\\hat{p}-y),\n",
        "\\qquad\n",
        "\\theta \\leftarrow \\theta-\\alpha\\nabla J(\\theta).\n",
        "$$\n",
        "\n",
        "Ici, $\\alpha$ désigne le taux d’apprentissage."
      ],
      "id": "c90c2b30-1baf-4dc0-8954-b8829790952c"
    },
    {
      "cell_type": "code",
      "execution_count": 2,
      "metadata": {},
      "outputs": [],
      "source": [
        "class LogisticRegression:\n",
        "    \"\"\"Régression logistique binaire entraînée par descente de gradient par lot.\n",
        "\n",
        "    Paramètres\n",
        "    ----------\n",
        "    learning_rate : float, default=0.1\n",
        "        Pas utilisé par la descente de gradient.\n",
        "    max_iter : int, default=1000\n",
        "        Nombre de mises à jour par descente de gradient.\n",
        "\n",
        "    Remarques\n",
        "    -----\n",
        "    La mise en œuvre attend des étiquettes dans {0, 1}. Elle ajoute l'ordonnée\n",
        "    à l'origine et n'utilise ni régularisation ni arrêt précoce.\n",
        "    \"\"\"\n",
        "\n",
        "    def __init__(self, learning_rate: float = 0.1, max_iter: int = 1000):\n",
        "        if learning_rate <= 0:\n",
        "            raise ValueError(\"learning_rate doit être positif.\")\n",
        "        if max_iter <= 0:\n",
        "            raise ValueError(\"max_iter doit être positif.\")\n",
        "\n",
        "        self.learning_rate = learning_rate\n",
        "        self.max_iter = max_iter\n",
        "        self._theta = None\n",
        "        self._loss_history = None\n",
        "        self._n_features = None\n",
        "        self._fitted = False\n",
        "\n",
        "    def fit(self, X: np.ndarray, y: np.ndarray) -> \"LogisticRegression\":\n",
        "        \"\"\"Estimer les paramètres à partir d'un ensemble d'entraînement.\"\"\"\n",
        "        X = self._as_2d_array(X, name=\"X\")\n",
        "        y = self._as_1d_array(y, name=\"y\")\n",
        "\n",
        "        if X.shape[0] != y.shape[0]:\n",
        "            raise ValueError(\"X et y doivent contenir le même nombre d'exemples.\")\n",
        "        self._check_binary_labels(y)\n",
        "\n",
        "        n_examples, n_features = X.shape\n",
        "        self._n_features = n_features\n",
        "        Xb = self._add_intercept(X)\n",
        "\n",
        "        # Une initialisation à zéro suffit puisque l'objectif est convexe.\n",
        "        self._theta = np.zeros(n_features + 1, dtype=float)\n",
        "        self._loss_history = []\n",
        "\n",
        "        for _ in range(self.max_iter):\n",
        "            probabilities = self._sigmoid(Xb @ self._theta)\n",
        "            gradient = (Xb.T @ (probabilities - y)) / n_examples\n",
        "            self._theta -= self.learning_rate * gradient\n",
        "\n",
        "            updated_probabilities = self._sigmoid(Xb @ self._theta)\n",
        "            self._loss_history.append(self._bce_loss(updated_probabilities, y))\n",
        "\n",
        "        self._fitted = True\n",
        "        return self\n",
        "\n",
        "    def predict_proba(self, X: np.ndarray) -> np.ndarray:\n",
        "        \"\"\"Retourner la probabilité prédite de la classe positive.\"\"\"\n",
        "        self._ensure_fitted()\n",
        "        X = self._as_2d_array(X, name=\"X\")\n",
        "        self._ensure_same_n_features(X)\n",
        "        return self._sigmoid(self._add_intercept(X) @ self._theta)\n",
        "\n",
        "    def predict(self, X: np.ndarray, threshold: float = 0.5) -> np.ndarray:\n",
        "        \"\"\"Retourner les classes prédites en utilisant le seuil spécifié.\"\"\"\n",
        "        if not 0 <= threshold <= 1:\n",
        "            raise ValueError(\"threshold doit être compris entre 0 et 1.\")\n",
        "        return (self.predict_proba(X) >= threshold).astype(int)\n",
        "\n",
        "    @property\n",
        "    def intercept_(self) -> float:\n",
        "        \"\"\"Retourner l'ordonnée à l'origine ajustée.\"\"\"\n",
        "        self._ensure_fitted()\n",
        "        return float(self._theta[0])\n",
        "\n",
        "    @property\n",
        "    def coef_(self) -> np.ndarray:\n",
        "        \"\"\"Retourner une copie des coefficients ajustés des attributs.\"\"\"\n",
        "        self._ensure_fitted()\n",
        "        return self._theta[1:].copy()\n",
        "\n",
        "    def get_loss_history(self) -> list[float]:\n",
        "        \"\"\"Retourner les valeurs d'entropie croisée binaire de l'entraînement.\"\"\"\n",
        "        self._ensure_fitted()\n",
        "        return list(self._loss_history)\n",
        "\n",
        "    @staticmethod\n",
        "    def _sigmoid(z: np.ndarray) -> np.ndarray:\n",
        "        \"\"\"Calculer la sigmoïde sans débordement pour les grandes valeurs négatives.\"\"\"\n",
        "        z = np.asarray(z, dtype=float)\n",
        "        result = np.empty_like(z)\n",
        "        positive = z >= 0\n",
        "        result[positive] = 1.0 / (1.0 + np.exp(-z[positive]))\n",
        "        exp_z = np.exp(z[~positive])\n",
        "        result[~positive] = exp_z / (1.0 + exp_z)\n",
        "        return result\n",
        "\n",
        "    @staticmethod\n",
        "    def _bce_loss(probabilities: np.ndarray, y: np.ndarray) -> float:\n",
        "        probabilities = np.clip(probabilities, 1e-12, 1.0 - 1e-12)\n",
        "        return float(\n",
        "            -np.mean(\n",
        "                y * np.log(probabilities)\n",
        "                + (1 - y) * np.log(1 - probabilities)\n",
        "            )\n",
        "        )\n",
        "\n",
        "    @staticmethod\n",
        "    def _as_2d_array(X, name: str) -> np.ndarray:\n",
        "        X = np.asarray(X, dtype=float)\n",
        "        if X.ndim != 2:\n",
        "            raise ValueError(\n",
        "                f\"{name} doit être un tableau 2D de forme (n_examples, n_features).\"\n",
        "            )\n",
        "        return X\n",
        "\n",
        "    @staticmethod\n",
        "    def _as_1d_array(y, name: str) -> np.ndarray:\n",
        "        y = np.asarray(y, dtype=float)\n",
        "        if y.ndim != 1:\n",
        "            raise ValueError(f\"{name} doit être un tableau 1D de forme (n_examples,).\")\n",
        "        return y\n",
        "\n",
        "    @staticmethod\n",
        "    def _check_binary_labels(y: np.ndarray) -> None:\n",
        "        if not np.array_equal(np.unique(y), np.array([0.0, 1.0])):\n",
        "            raise ValueError(\"y doit contenir les deux étiquettes binaires 0 et 1.\")\n",
        "\n",
        "    @staticmethod\n",
        "    def _add_intercept(X: np.ndarray) -> np.ndarray:\n",
        "        return np.column_stack([np.ones(X.shape[0]), X])\n",
        "\n",
        "    def _ensure_fitted(self) -> None:\n",
        "        if not self._fitted or self._theta is None:\n",
        "            raise RuntimeError(\"Appelez fit(X, y) avant d'utiliser le modèle ajusté.\")\n",
        "\n",
        "    def _ensure_same_n_features(self, X: np.ndarray) -> None:\n",
        "        if X.shape[1] != self._n_features:\n",
        "            raise ValueError(\n",
        "                f\"X comporte {X.shape[1]} attributs; le modèle a été ajusté avec \"\n",
        "                f\"{self._n_features}.\"\n",
        "            )"
      ],
      "id": "20fc8f9a"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "# Exemple bidimensionnel\n",
        "\n",
        "Les deux attributs permettent de visualiser directement la surface de\n",
        "probabilité, la frontière de décision et le vecteur normal."
      ],
      "id": "c49f5b0d-dcaa-4aa7-ae5c-2711d0753017"
    },
    {
      "cell_type": "code",
      "execution_count": 3,
      "metadata": {},
      "outputs": [],
      "source": [
        "X, y = make_blobs(\n",
        "    n_samples=1000,\n",
        "    n_features=2,\n",
        "    centers=2,\n",
        "    cluster_std=2.5,\n",
        "    random_state=42,\n",
        ")\n",
        "\n",
        "X_train, X_test, y_train, y_test = train_test_split(\n",
        "    X,\n",
        "    y,\n",
        "    test_size=0.3,\n",
        "    random_state=42,\n",
        "    stratify=y,\n",
        ")"
      ],
      "id": "ba360ec4"
    },
    {
      "cell_type": "code",
      "execution_count": 4,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
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jsvttdqFkg+7T4xSVpdd5ExqC6+/v7/H7cnNzWQqPIkrkhn348GH7c4MHD2ZpvR07djA3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r1iQYhpwket0//u+n9HX/NfZJBOmTSlqFp9N0+G7LXCrInjownrp+O9qHL+zadt3zKKrkmEi7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\nAAAsEJYAAAAsEJYAAACkcf8DU07+aUsyJnIAAAAASUVORK5CYII=\n"
          }
        }
      ],
      "source": [
        "plt.figure(figsize=(7, 6))\n",
        "plt.scatter(\n",
        "    X_train[y_train == 0, 0],\n",
        "    X_train[y_train == 0, 1],\n",
        "    color=\"tab:blue\",\n",
        "    edgecolor=\"black\",\n",
        "    alpha=0.8,\n",
        "    label=\"Classe 0\",\n",
        ")\n",
        "plt.scatter(\n",
        "    X_train[y_train == 1, 0],\n",
        "    X_train[y_train == 1, 1],\n",
        "    color=\"tab:orange\",\n",
        "    edgecolor=\"black\",\n",
        "    alpha=0.8,\n",
        "    label=\"Classe 1\",\n",
        ")\n",
        "plt.xlabel(\"Attribut 1\")\n",
        "plt.ylabel(\"Attribut 2\")\n",
        "plt.title(\"Données d'entraînement\")\n",
        "plt.legend()\n",
        "plt.grid(True)\n",
        "plt.show()"
      ],
      "id": "643f98c8"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "# Entraînement"
      ],
      "id": "da4ef062-08a8-4e2b-83db-b98cbc7dca48"
    },
    {
      "cell_type": "code",
      "execution_count": 5,
      "metadata": {},
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Ordonnée à l'origine : 1.0100587136980153\n",
            "Coefficients des attributs : [ 1.06044862 -0.48332183]"
          ]
        }
      ],
      "source": [
        "model = LogisticRegression(learning_rate=0.1, max_iter=500)\n",
        "model.fit(X_train, y_train)\n",
        "\n",
        "print(\"Ordonnée à l'origine :\", model.intercept_)\n",
        "print(\"Coefficients des attributs :\", model.coef_)"
      ],
      "id": "0ba7d8b4"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "La perte diminue à mesure que la descente de gradient par lot met à jour\n",
        "le vecteur de paramètres."
      ],
      "id": "6909114c-612e-4e56-81f0-4f03fa928ffa"
    },
    {
      "cell_type": "code",
      "execution_count": 6,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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iws/55jl5c75gCs9LVNShAgDAmljLL5CV0ll6BgAAS/I5UGmRzYLlCuDO5qqUTssAAGBF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\n"
          }
        }
      ],
      "source": [
        "plt.figure(figsize=(7, 5))\n",
        "plt.plot(model.get_loss_history())\n",
        "plt.xlabel(\"Itération\")\n",
        "plt.ylabel(\"Entropie croisée binaire moyenne\")\n",
        "plt.title(\"Perte d'entraînement\")\n",
        "plt.grid(True)\n",
        "plt.show()"
      ],
      "id": "d34be99b"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "# Surface de probabilité et frontière de décision\n",
        "\n",
        "Le contour vert indique où $P(y=1\\mid x)=0.5$. Soit\n",
        "$w=(\\theta_1,\\theta_2)^\\top$ le vecteur ajusté des poids des attributs.\n",
        "Ce vecteur est normal à la frontière."
      ],
      "id": "38bf30cc-db7a-47d5-abaf-c2da0539898e"
    },
    {
      "cell_type": "code",
      "execution_count": 7,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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Gm94zxbHMgQMHmEgcMmQIbG1t0ahRIyxfvhwDBoh/GZs5cybmz5+PsWPHIjEx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\nlrq66NYx0zNarAWgcaFusa4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+PppajFKZDOtWLsP+fftw7uJlNvT8+0+zUb9Obbbc18cb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zZxJeLXnXozWSQQiaUObapMTFeVoDogZY4UulBFJCas0TO5Jne1WusJvVlQh9NLzKjtJ2IC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BIT59/H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\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babDUF3dRKqTbkrsotQJQI883cRdf7f4svLy8qu0uVrjeSd3FzJ0n4O/mdj0ixvqAaVuc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\nwzAMwzAMLPH/X+TALRTuvuMAAAAASUVORK5CYII=\n"
          }
        }
      ],
      "source": [
        "x1_min, x1_max = X[:, 0].min() - 0.5, X[:, 0].max() + 0.5\n",
        "x2_min, x2_max = X[:, 1].min() - 0.5, X[:, 1].max() + 0.5\n",
        "x1_grid, x2_grid = np.meshgrid(\n",
        "    np.linspace(x1_min, x1_max, 250),\n",
        "    np.linspace(x2_min, x2_max, 250),\n",
        ")\n",
        "grid = np.column_stack([x1_grid.ravel(), x2_grid.ravel()])\n",
        "probability_grid = model.predict_proba(grid).reshape(x1_grid.shape)\n",
        "\n",
        "plt.figure(figsize=(8, 6))\n",
        "surface = plt.contourf(\n",
        "    x1_grid,\n",
        "    x2_grid,\n",
        "    probability_grid,\n",
        "    levels=25,\n",
        "    cmap=\"coolwarm\",\n",
        "    alpha=0.75,\n",
        ")\n",
        "plt.colorbar(surface, label=r\"$P(y=1\\mid x)$\")\n",
        "plt.contour(\n",
        "    x1_grid,\n",
        "    x2_grid,\n",
        "    probability_grid,\n",
        "    levels=[0.5],\n",
        "    colors=\"green\",\n",
        "    linewidths=2,\n",
        ")\n",
        "\n",
        "plt.scatter(\n",
        "    X_train[y_train == 0, 0],\n",
        "    X_train[y_train == 0, 1],\n",
        "    color=\"tab:blue\",\n",
        "    edgecolor=\"black\",\n",
        "    label=\"Entraînement : classe 0\",\n",
        ")\n",
        "plt.scatter(\n",
        "    X_train[y_train == 1, 0],\n",
        "    X_train[y_train == 1, 1],\n",
        "    color=\"tab:orange\",\n",
        "    edgecolor=\"black\",\n",
        "    label=\"Entraînement : classe 1\",\n",
        ")\n",
        "plt.scatter(\n",
        "    X_test[:, 0],\n",
        "    X_test[:, 1],\n",
        "    facecolors=\"none\",\n",
        "    edgecolors=\"black\",\n",
        "    marker=\"o\",\n",
        "    label=\"Exemples de test\",\n",
        ")\n",
        "\n",
        "# Tracer le vecteur normal unitaire depuis un point de la frontière où x1 = 0.\n",
        "normal = model.coef_\n",
        "normal_unit = normal / np.linalg.norm(normal)\n",
        "boundary_point = np.array([0.0, -model.intercept_ / normal[1]])\n",
        "plt.arrow(\n",
        "    boundary_point[0],\n",
        "    boundary_point[1],\n",
        "    normal_unit[0] * 2,\n",
        "    normal_unit[1] * 2,\n",
        "    width=0.03,\n",
        "    head_width=0.18,\n",
        "    color=\"black\",\n",
        "    length_includes_head=True,\n",
        ")\n",
        "\n",
        "plt.xlabel(\"Attribut 1\")\n",
        "plt.ylabel(\"Attribut 2\")\n",
        "plt.title(\"Probabilités prédites et frontière de décision\")\n",
        "plt.legend(loc=\"best\")\n",
        "plt.show()"
      ],
      "id": "536a8026"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "La sigmoïde agit sur le score linéaire $\\theta_0+w^\\top x$. La distance\n",
        "signée à la frontière divise ce score par $\\lVert w\\rVert$; les deux\n",
        "quantités diffèrent donc lorsque le vecteur de poids n’est pas unitaire."
      ],
      "id": "89aac0c8-e125-4f55-840f-bef8aa5ad239"
    }
  ],
  "nbformat": 4,
  "nbformat_minor": 5,
  "metadata": {
    "kernelspec": {
      "name": "python3",
      "display_name": "Python 3 (ipykernel)",
      "language": "python",
      "path": "/Users/turcotte/.virtualenvs/csi4106/share/jupyter/kernels/python3"
    },
    "language_info": {
      "name": "python",
      "codemirror_mode": {
        "name": "ipython",
        "version": "3"
      },
      "file_extension": ".py",
      "mimetype": "text/x-python",
      "nbconvert_exporter": "python",
      "pygments_lexer": "ipython3",
      "version": "3.12.12"
    }
  }
}