{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Tutorial 2 - Perceptron and logistic regression\n",
    "\n",
    "In this tutorial, we'll introduce logistic regression and the percepron learning algorithm."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "from matplotlib import pyplot as plt\n",
    "from sklearn.datasets import make_classification\n",
    "from sklearn.linear_model import LogisticRegression, Perceptron\n",
    "from sklearn.metrics import accuracy_score\n",
    "import sklearn"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Binary classification\n",
    "\n",
    "This section will introduce the specific context of binary classification, which is a sub-category of supervised learning. While the previous tutorial focused more on regression, where the model predicts a real-valued output $y \\in \\mathbb{R}$, this tutorial focuses on classification, where the model assigns the input into one of several classes. For binary classification, we formalize this as predicting one class from a finite set of two elements, typically $y \\in \\{0, 1\\}$\n",
    "\n",
    "### Generating synthetic data for classification\n",
    "\n",
    "We will generate synthetic data points suitable for a two-class problem, ensuring the input vectors $\\vec{x} \\in \\mathbb{R}^d$ and corresponding labels $y \\in \\{0, 1\\}$ are created."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Input shape X: (100, 2)\n",
      "Output shape y: (100,)\n"
     ]
    }
   ],
   "source": [
    "X, y = make_classification(\n",
    "    n_samples = 100,\n",
    "    n_features = 2,\n",
    "    n_redundant = 0,\n",
    "    n_informative = 2,\n",
    "    n_classes = 2,\n",
    "    random_state = 42\n",
    ")\n",
    "\n",
    "print(\"Input shape X:\", X.shape)\n",
    "print(\"Output shape y:\", y.shape)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's visualize the generated data:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(8, 6))\n",
    "plt.scatter(X[:, 0], X[:, 1], c = y, marker = 'o', label = 'Data Points')\n",
    "plt.title('Synthetic Data for Binary Classification')\n",
    "plt.xlabel('Feature 1')\n",
    "plt.ylabel('Feature 2')\n",
    "plt.grid(True)\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## A logistic regression model\n",
    "\n",
    "Logistic regression is an improvement over linear regression. Whereas linear regression could only fit linear functions for regression, logistic regression augments it with a nonlinearity making it suitable for classification.\n",
    "\n",
    "In linear regression, the relationship is defined by a simple dot product: $ f ( \\vec{x} ) = \\vec{x}^T \\vec{w} + b$. Logistic regression uses a similar linear combination but passes the result through a sigmoid (logistic) function:\n",
    "\n",
    "$$ \\sigma ( x ) = \\frac{1}{1 + e^{-x}} $$\n",
    "\n",
    "This function is used to map the output to a probability between 0 and 1, suitable for classification.\n",
    "\n",
    "### Cost function\n",
    "\n",
    "In contrast to linear regression, which typically uses the Mean Square Error (MSE) cost function, classification models use cost functions better suited for probability outputs. For binary classification, the standard cost function is the Binary Cross-Entropy (or Log Loss)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "def binary_cross_entropy(y_true, y_pred_proba):\n",
    "    # Ensure clipping to avoid log(0)\n",
    "    epsilon = 1e-12\n",
    "    y_pred_proba = np.clip(y_pred_proba, epsilon, 1. - epsilon)\n",
    "    # Log Loss calculation\n",
    "    return -np.mean(y_true * np.log(y_pred_proba) + (1 - y_true) * np.log(1 - y_pred_proba))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Implementation and visualization of a decision strategy\n",
    "\n",
    "The output of logistic regression is a probability $\\hat{p}$. The decision strategy is a threshold applied to this probability to assign a final class label (0 or 1). Typically, if $\\hat{p} \\geq 0.5$, the prediction is class 1; otherwise, it is class 0. The boundary where $\\hat{p} = 0.5$ is called the decision boundary."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "def plot_decision_boundary(model, X, y):    \n",
    "    # Setup the limits and create a meshgrid\n",
    "    x_min, x_max = X[:, 0].min() - 0.5, X[:, 0].max() + 0.5\n",
    "    y_min, y_max = X[:, 1].min() - 0.5, X[:, 1].max() + 0.5\n",
    "\n",
    "    # Create coordinate matrices for the plot grid\n",
    "    xx, yy = np.meshgrid(np.arange(x_min, x_max, 0.02),\n",
    "                         np.arange(y_min, y_max, 0.02))\n",
    "\n",
    "    # Predict class labels for every point on the meshgrid    \n",
    "    Z = model.predict(np.c_[xx.ravel(), yy.ravel()])\n",
    "    Z = Z.reshape(xx.shape)\n",
    "\n",
    "    plt.figure(figsize=(8, 6))\n",
    "    plt.contourf(xx, yy, Z, alpha=0.4, cmap=plt.cm.coolwarm)\n",
    "    \n",
    "    # Plot the training points\n",
    "    plt.scatter(X[:, 0], X[:, 1], c=y, edgecolors='k', marker='o', cmap=plt.cm.coolwarm, s=50)\n",
    "    plt.xlabel('Feature 1')\n",
    "    plt.ylabel('Feature 2')\n",
    "    plt.xlim(xx.min(), xx.max())\n",
    "    plt.ylim(yy.min(), yy.max())\n",
    "    plt.grid(True)\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Training logistic regression with scikit-learn\n",
    "\n",
    "We will use the `scikit-learn` library to train the logistic regression model:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Optimal cost (BCE) after training: 0.0905222574854022\n"
     ]
    }
   ],
   "source": [
    "model = LogisticRegression() \n",
    "model.fit(X, y)\n",
    "y_pred_optimal_proba = model.predict_proba(X)[:, 1] # Get probabilities for class 1\n",
    "optimal_cost = binary_cross_entropy(y, y_pred_optimal_proba)\n",
    "\n",
    "print(\"Optimal cost (BCE) after training:\", optimal_cost)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's also visualize the learned decision boundary:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_decision_boundary(model, X, y) "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Evaluating the Model\n",
    "\n",
    "For classification, evaluation focuses on metrics like accuracy, precision, and recall, rather than just MSE or $R^2$ which are typically used for regression."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Model Accuracy: 0.9900\n"
     ]
    }
   ],
   "source": [
    "y_pred_classes = model.predict(X)\n",
    "acc = accuracy_score(y, y_pred_classes)\n",
    "print(f\"Model Accuracy: {acc:.4f}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Task 1: Manual logistic regression\n",
    "\n",
    "Train a logistic regression model using gradient descent on BCE cost function."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "class ManualLogisticRegression:\n",
    "    def __init__(self, learning_rate=0.01, epochs=1000):\n",
    "        self.learning_rate = learning_rate\n",
    "        self.epochs = epochs\n",
    "\n",
    "        self.W = None\n",
    "        self.b = None\n",
    "\n",
    "    def _sigmoid(self, z):\n",
    "        z = np.clip(z, -500, 500)\n",
    "        return 1 / (1 + np.exp(-z))\n",
    "\n",
    "    def fit(self, X_train, y_train):\n",
    "        n_samples, n_features = X_train.shape\n",
    "        \n",
    "        # Initialize parameters\n",
    "        self.W = np.zeros(n_features) \n",
    "        self.b = 0\n",
    "        \n",
    "        # Gradient Descent loop\n",
    "        for epoch in range(self.epochs):\n",
    "            \n",
    "            # Forward Pass\n",
    "            y_pred_proba = self.predict_proba(X_train)\n",
    "            \n",
    "            # Backward Pass: Calculate Gradients\n",
    "            # Error used for update: (y_hat - y)\n",
    "            error = y_pred_proba - y_train\n",
    "            \n",
    "            # Gradient for weights (dW)\n",
    "            dW = (1 / n_samples) * np.dot(X_train.T, error)\n",
    "            \n",
    "            # Gradient for bias (db)\n",
    "            db = (1 / n_samples) * np.sum(error)\n",
    "            \n",
    "            # Update Parameters\n",
    "            self.W = self.W - self.learning_rate * dW\n",
    "            self.b = self.b - self.learning_rate * db\n",
    "        \n",
    "        return self\n",
    "\n",
    "    def predict_proba(self, X_input):\n",
    "        linear_output = np.dot(X_input, self.W) + self.b\n",
    "        return self._sigmoid(linear_output)\n",
    "\n",
    "    def predict(self, X_input):\n",
    "        probabilities = self.predict_proba(X_input)\n",
    "        return (probabilities >= 0.5).astype(int)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Optimal cost (BCE) after training: 0.1701260417468654\n"
     ]
    }
   ],
   "source": [
    "model = ManualLogisticRegression() \n",
    "model.fit(X, y)\n",
    "y_pred_optimal_proba = model.predict_proba(X)\n",
    "optimal_cost = binary_cross_entropy(y, y_pred_optimal_proba)\n",
    "\n",
    "print(\"Optimal cost (BCE) after training:\", optimal_cost)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_decision_boundary(model, X, y) "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's again also look at the accuracy:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Model Accuracy: 0.9700\n"
     ]
    }
   ],
   "source": [
    "y_pred_classes = model.predict(X)\n",
    "acc = accuracy_score(y, y_pred_classes)\n",
    "print(f\"Model Accuracy: {acc:.4f}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## The perceptron model\n",
    "\n",
    "The perceptron is an earlier, foundational algorithm for linear binary classification. In essence, it's a simple algorithm that mimics a single neuron in the human brain, capable of making basic decisions and, crucially, learning from its mistakes."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "model = Perceptron()\n",
    "model.fit(X, y)\n",
    "plot_decision_boundary(model, X, y)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Perceptron learning algorithm and implementation\n",
    "\n",
    "The perceptron operates by adjusting weights based on misclassified points. It does this through a process called the *Perceptron Learning Algorithm*, which is a form of supervised learning. This means we provide the perceptron with training data that includes both the inputs and the correct outputs. The perceptron then adjusts its weights and bias to make its predictions more accurate.\n",
    "- Initialization: The perceptron starts with random values for its weights and bias.\n",
    "- Prediction: It takes an example from the training data and makes a prediction based on its current weights and bias.\n",
    "- Error Calculation: The perceptron's prediction is compared to the correct output from the training data. The difference between the two is the error.\n",
    "- Weight and Bias Update: This is the crucial learning step.\n",
    "    - If the prediction is correct: The weights and bias are not changed.\n",
    "    - If the prediction is incorrect: The weights and bias are adjusted to reduce the error. The update rule is simple: the change in a weight is proportional to the error and the input it's associated with. A small value called the \"learning rate\" controls how much the weights and bias are adjusted in each step.\n",
    "\n",
    "$$ w_{i, t} = w_{i, t-1} + \\eta ( y_i - \\hat{y_i} ) \\vec{x}_i $$\n",
    "\n",
    "- Iteration: This process of predicting, calculating the error, and updating the weights is repeated for all the examples in the training data, multiple times. With each pass through the data (called an \"epoch\"), the perceptron's weights and bias get closer to the optimal values that allow it to make correct predictions."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Task 2\n",
    "\n",
    "Create a manual perceptron model."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "class ManualPerceptron:\n",
    "    def __init__(self, learning_rate=0.01, epochs=100):\n",
    "        self.learning_rate = learning_rate\n",
    "        self.epochs = epochs\n",
    "\n",
    "        self.weights = None\n",
    "        self.bias = None\n",
    "\n",
    "    def fit(self, X, y):\n",
    "        n_samples, n_features = X.shape\n",
    "        \n",
    "        # Initialize parameters\n",
    "        self.weights = np.zeros(n_features)\n",
    "        self.bias = 0\n",
    "\n",
    "        for epoch in range(self.epochs):\n",
    "            for x_i, y_i in zip(X, y):\n",
    "                \n",
    "                # Calculate the linear combination with the Heaviside step function\n",
    "                y_pred = self.predict(x_i)\n",
    "                \n",
    "                # Calculate the error\n",
    "                error = y_i - y_pred\n",
    "                \n",
    "                # -Apply the Perceptron Update Rule\n",
    "                if error != 0:\n",
    "                    update = self.learning_rate * error\n",
    "                    self.weights += update * x_i\n",
    "                    \n",
    "                    # Update bias: b_new = b_old + learning_rate * error\n",
    "                    self.bias += update\n",
    "\n",
    "    def predict(self, X_input):\n",
    "        linear_output = np.dot(X_input, self.weights) + self.bias\n",
    "        y_pred = np.where(linear_output >= 0, 1, 0)\n",
    "        \n",
    "        return y_pred"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "model = ManualPerceptron()\n",
    "model.fit(X, y)\n",
    "plot_decision_boundary(model, X, y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Model Accuracy: 1.0000\n"
     ]
    }
   ],
   "source": [
    "y_pred_classes = model.predict(X)\n",
    "acc = accuracy_score(y, y_pred_classes)\n",
    "print(f\"Model Accuracy: {acc:.4f}\")"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "nsn",
   "language": "python",
   "name": "nsn"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.11.12"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
