{ "nbformat": 4, "nbformat_minor": 0, "metadata": { "colab": { "provenance": [] }, "kernelspec": { "name": "python3", "display_name": "Python 3" }, "language_info": { "name": "python" } }, "cells": [ { "cell_type": "markdown", "source": [ "# E2 236 Foundations of Machine Learning Lab 2\n", "# Regression\n", "\n", "\n", "**Student Name:** _________________\n", "\n", "**Last five digits of your SR number:** _________________\n", "\n", "**Date:** _________________\n", "\n", "---\n", "\n", "## Instructions\n", "\n", "1. Fill in the last five digits of your **Student ID** above - this will be used as the random seed for reproducibility\n", "2. Complete all code cells marked with `# YOUR CODE HERE`\n", "3. Do not modify the test cells or data generation code\n", "4. This lab component will not be graded. So the solutions need not be returned" ], "metadata": { "id": "xuC7FqtC2pWN" } }, { "cell_type": "code", "execution_count": 1, "metadata": { "id": "ELVXO0Hk2cgy" }, "outputs": [], "source": [ "# Import required libraries\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from sklearn.model_selection import train_test_split\n", "from sklearn.metrics import mean_squared_error, mean_absolute_error, r2_score\n", "from sklearn.preprocessing import PolynomialFeatures, StandardScaler # Added StandardScaler\n", "from scipy.optimize import linprog, minimize\n", "import warnings\n", "warnings.filterwarnings('ignore')\n", "\n", "# Set plot style\n", "plt.style.use('seaborn-v0_8-darkgrid' if 'seaborn-v0_8-darkgrid' in plt.style.available else 'default')\n", "\n", "# Example student ID\n", "STUDENT_ID = 12345\n", "np.random.seed(STUDENT_ID)" ] }, { "cell_type": "code", "source": [ "# Example student ID for demonstration\n", "STUDENT_ID = 12345 # This will vary for each student\n", "np.random.seed(STUDENT_ID)\n", "print(f\"Random seed set to: {STUDENT_ID}\")" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "QROVVYC2MJzg", "outputId": "c0f29e3c-2dd2-4e77-e03d-edf9c09684b5" }, "execution_count": 2, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "Random seed set to: 12345\n" ] } ] }, { "cell_type": "markdown", "source": [ "---\n", "\n", "## Task 1: Linear Regression and Ridge Regression on Gaussian Data\n", "\n", "In this task, you will:\n", "1. Implement **Ordinary Least Squares (OLS) Linear Regression** from scratch\n", "2. Implement **Ridge Regression (L2 Regularization)** from scratch\n", "3. Compare their performance on synthetic Gaussian data" ], "metadata": { "id": "tWDWiWUzLsZj" } }, { "cell_type": "code", "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 608 }, "id": "4c9549c4", "outputId": "7b501d90-e4b8-40a3-8a66-35c2c32fdbdf" }, "source": [ "# Generate synthetic Gaussian data\n", "np.random.seed(STUDENT_ID)\n", "\n", "n_samples = 200\n", "n_features = 1\n", "\n", "X = np.random.randn(n_samples, n_features) * 2\n", "true_weights = np.array([3.0])\n", "true_bias = 2.0\n", "noise = np.random.randn(n_samples) * 1.5\n", "y = X @ true_weights + true_bias + noise\n", "\n", "X_train, X_test, y_train, y_test = train_test_split(\n", " X, y, test_size=0.3, random_state=STUDENT_ID\n", ")\n", "\n", "# Visualize\n", "plt.figure(figsize=(10, 6))\n", "plt.scatter(X_train, y_train, alpha=0.6, label='Training data', edgecolors='k')\n", "plt.scatter(X_test, y_test, alpha=0.6, label='Test data', edgecolors='k')\n", "plt.xlabel('X')\n", "plt.ylabel('y')\n", "plt.title('Synthetic Gaussian Data for Regression')\n", "plt.legend()\n", "plt.grid(True, alpha=0.3)\n", "plt.show()\n", "\n", "print(f\"Training samples: {len(X_train)}\")\n", "print(f\"Test samples: {len(X_test)}\")\n", "print(f\"True parameters: weight={true_weights[0]}, bias={true_bias}\")" ], "execution_count": 3, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
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\n" }, "metadata": {} }, { "output_type": "stream", "name": "stdout", "text": [ "Training samples: 140\n", "Test samples: 60\n", "True parameters: weight=3.0, bias=2.0\n" ] } ] }, { "cell_type": "markdown", "source": [ "### 1.1 Least Squares Linear Regression\n", "\n", "Implement least squares linear regression using the closed-form solution." ], "metadata": { "id": "1jZXcooCQciJ" } }, { "cell_type": "code", "source": [ "class LinearRegression:\n", " def __init__(self):\n", " \"\"\"\n", " Initialize Linear Regression model.\n", " \"\"\"\n", " self.weights = None\n", " self.bias = None\n", "\n", " def fit(self, X, y):\n", " \"\"\"\n", " Fit the linear regression model using the closed-form solution.\n", "\n", " Parameters:\n", " -----------\n", " X : numpy array of shape (n_samples, n_features)\n", " Training data\n", " y : numpy array of shape (n_samples,)\n", " Target values\n", " \"\"\"\n", " # YOUR CODE HERE\n", " # 1. Add a column of ones to X for the bias term\n", " # 2. Compute beta = (X^T X)^(-1) X^T y\n", " # 3. Extract weights and bias from beta\n", " # Hint: Use np.linalg.inv() or np.linalg.solve()\n", " pass\n", "\n", " def predict(self, X):\n", " \"\"\"\n", " Make predictions.\n", "\n", " Parameters:\n", " -----------\n", " X : numpy array of shape (n_samples, n_features)\n", " Data to predict\n", "\n", " Returns:\n", " --------\n", " predictions : numpy array of shape (n_samples,)\n", " Predicted values\n", " \"\"\"\n", " # YOUR CODE HERE\n", " # Return X @ weights + bias\n", " pass\n", "\n", "# Train OLS Linear Regression\n", "# YOUR CODE HERE\n", "# 1. Create a LinearRegression instance\n", "# 2. Fit it on training data\n", "# 3. Make predictions on test data\n", "# 4. Print the learned parameters" ], "metadata": { "id": "-_FAporgQhfk" }, "execution_count": 4, "outputs": [] }, { "cell_type": "code", "source": [ "# Visualization\n", "plt.figure(figsize=(14, 5))\n", "\n", "# Plot 1: All models\n", "plt.subplot(1, 2, 1)\n", "plt.scatter(X_test, y_test, alpha=0.5, label='Test data', edgecolors='k', c='red')\n", "X_line = np.linspace(X_test.min(), X_test.max(), 100).reshape(-1, 1)\n", "plt.plot(X_line, ols.predict(X_line), label='Least squares', linewidth=2)\n", "plt.xlabel('X')\n", "plt.ylabel('y')\n", "plt.title('Least squares')\n", "plt.legend()\n", "plt.grid(True, alpha=0.3)" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 480 }, "id": "bc6QAO2OQwmL", "outputId": "f558843d-2e6d-4830-d64d-394863d2519a" }, "execution_count": 6, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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\n" }, "metadata": {} } ] }, { "cell_type": "markdown", "source": [ "### 1.2 Ridge Regression (L2 Regularization)\n", "\n", "Implement Ridge Regression using the closed-form solution:\n", "\n", "$$\\bf{w} = (\\mathbf{X}^T \\mathbf{X} + \\lambda \\mathbf{I})^{-1} \\mathbf{X}^T \\mathbf{y}$$\n", "\n", "where $\\lambda$ is the regularization parameter." ], "metadata": { "id": "3WsuG_YBTgLQ" } }, { "cell_type": "code", "source": [ "class RidgeRegression:\n", " def __init__(self, alpha=1.0):\n", " \"\"\"\n", " Initialize Ridge Regression model.\n", "\n", " Parameters:\n", " -----------\n", " alpha : float\n", " Regularization strength (lambda)\n", " \"\"\"\n", " self.alpha = alpha\n", " self.weights = None\n", " self.bias = None\n", "\n", " def fit(self, X, y):\n", " \"\"\"\n", " Fit the ridge regression model.\n", "\n", " Parameters:\n", " -----------\n", " X : numpy array of shape (n_samples, n_features)\n", " Training data\n", " y : numpy array of shape (n_samples,)\n", " Target values\n", " \"\"\"\n", " # YOUR CODE HERE\n", " # 1. Add a column of ones to X for the bias term\n", " # 2. Create identity matrix I (same size as X^T X)\n", " # 3. Set the last diagonal element to 0 (don't regularize bias)\n", " # 4. Compute beta = (X^T X + alpha * I)^(-1) X^T y\n", " # 5. Extract weights and bias\n", " pass\n", "\n", " def predict(self, X):\n", " \"\"\"\n", " Make predictions.\n", "\n", " Parameters:\n", " -----------\n", " X : numpy array of shape (n_samples, n_features)\n", " Data to predict\n", "\n", " Returns:\n", " --------\n", " predictions : numpy array of shape (n_samples,)\n", " Predicted values\n", " \"\"\"\n", " # YOUR CODE HERE\n", " pass\n", "\n", "# Train Ridge Regression with different alpha values\n", "# YOUR CODE HERE\n", "# Try alpha values: [0.01, 0.1, 1.0, 10.0]\n", "# Store models and predictions for comparison" ], "metadata": { "id": "pQYwHUIoTmGz" }, "execution_count": null, "outputs": [] }, { "cell_type": "code", "source": [ "# Visualization\n", "plt.figure(figsize=(14, 5))\n", "\n", "# Plot 1: All models\n", "plt.subplot(1, 2, 1)\n", "plt.scatter(X_test, y_test, alpha=0.5, label='Test data', edgecolors='k',c='red')\n", "X_line = np.linspace(X_test.min(), X_test.max(), 100).reshape(-1, 1)\n", "for alpha in alphas:\n", " plt.plot(X_line, ridge_models[alpha].predict(X_line),\n", " label=f'Ridge (α={alpha})', linewidth=2)\n", "plt.xlabel('X')\n", "plt.ylabel('y')\n", "plt.title('Model Comparison - Ridge regression')\n", "plt.legend()\n", "plt.grid(True, alpha=0.3)" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 480 }, "id": "QKcZyMf1V1qf", "outputId": "2b8cd530-afab-438b-d265-719bbd6408ee" }, "execution_count": 9, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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\n" }, "metadata": {} } ] }, { "cell_type": "markdown", "source": [ "### 1.3 Evaluation and Comparison" ], "metadata": { "id": "ScGkGrncEHfo" } }, { "cell_type": "code", "source": [ "def evaluate_regression(y_true, y_pred, model_name):\n", " \"\"\"\n", " Evaluate regression model.\n", "\n", " Parameters:\n", " -----------\n", " y_true : array-like\n", " True target values\n", " y_pred : array-like\n", " Predicted values\n", " model_name : str\n", " Name of the model\n", " \"\"\"\n", " # YOUR CODE HERE\n", " # Compute and print:\n", " # 1. Mean Squared Error (MSE)\n", " # 2. Root Mean Squared Error (RMSE)\n", " # 3. Mean Absolute Error (MAE)\n", " # 4. R² Score\n", " pass\n", "\n", "# YOUR CODE HERE\n", "# Evaluate all models (OLS and Ridge with different alphas)\n", "# Create a visualization comparing predictions" ], "metadata": { "id": "q9T-9LstEJEY" }, "execution_count": 10, "outputs": [] }, { "cell_type": "markdown", "source": [ "---\n", "\n", "## Task 2: Robust Regression with Outliers\n", "\n", "In this task, you will:\n", "1. Generate data with **outliers**\n", "2. Implement **MAE-based Linear Programming** for robust regression\n", "3. Implement regression with **Huber loss**\n", "4. Compare robustness to outliers" ], "metadata": { "id": "N4F3RZF4WaBo" } }, { "cell_type": "code", "source": [ "# Generate data with outliers\n", "np.random.seed(STUDENT_ID)\n", "\n", "n_samples = 150\n", "n_outliers = 15\n", "\n", "# Generate clean data\n", "X_clean = np.random.randn(n_samples, 1) * 2\n", "y_clean = 2.5 * X_clean.ravel() + 1.5 + np.random.randn(n_samples) * 0.5\n", "\n", "# Add outliers\n", "outlier_indices = np.random.choice(n_samples, n_outliers, replace=False)\n", "y_outliers = y_clean.copy()\n", "y_outliers[outlier_indices] += np.random.choice([0, 1], n_outliers) * np.random.uniform(8, 15, n_outliers)\n", "\n", "# Split data\n", "X_train_out, X_test_out, y_train_out, y_test_out = train_test_split(\n", " X_clean, y_outliers, test_size=0.3, random_state=STUDENT_ID\n", ")\n", "\n", "# Visualize\n", "plt.figure(figsize=(10, 6))\n", "plt.scatter(X_train_out, y_train_out, alpha=0.6, label='Training data', edgecolors='k')\n", "plt.scatter(X_test_out, y_test_out, alpha=0.6, label='Test data', edgecolors='k')\n", "plt.xlabel('X')\n", "plt.ylabel('y')\n", "plt.title('Data with Outliers')\n", "plt.legend()\n", "plt.grid(True, alpha=0.3)\n", "plt.show()\n", "\n", "print(f\"Total samples: {n_samples}\")\n", "print(f\"Number of outliers: {n_outliers}\")\n", "print(f\"Outlier percentage: {n_outliers/n_samples*100:.1f}%\")" ], "metadata": { "id": "sxgC9Q2WWSGM", "colab": { "base_uri": "https://localhost:8080/", "height": 608 }, "outputId": "41bd97ef-9ecf-4805-8e38-e704fd3ba643" }, "execution_count": 12, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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}, "metadata": {} }, { "output_type": "stream", "name": "stdout", "text": [ "Total samples: 150\n", "Number of outliers: 15\n", "Outlier percentage: 10.0%\n" ] } ] }, { "cell_type": "markdown", "source": [ "### 2.1 MAE-based ERM with Linear Programming\n", "\n", "Minimize the Mean Absolute Error using Linear Programming:\n", "\n", "$$\\min_{{\\bf w}, r_i^+ >=0,r_i^->=0} \\sum_{i=1}^{N} r_i^+ + r_i^-$$\n", "\n", "subject to:\n", "$$({\\bf w}^T x_i + r_i^+ - r_i^- = y_i), \\quad i=1,2,\\cdots,N$$\n", "\n", "\n", "where $t_i$ represents the absolute error for sample $i$." ], "metadata": { "id": "1FJtxkKeEl2a" } }, { "cell_type": "code", "source": [ "def mae_linear_program(X, y):\n", " \"\"\"\n", " Solve L1 regression (MAE minimization) using linear programming.\n", "\n", " Parameters:\n", " -----------\n", " X : numpy array of shape (n_samples, n_features)\n", " Training data\n", " y : numpy array of shape (n_samples,)\n", " Target values\n", "\n", " Returns:\n", " --------\n", " weights : numpy array\n", " Learned weights\n", " bias : float\n", " Learned bias\n", " \"\"\"\n", " n_samples, n_features = X.shape\n", "\n", " # YOUR CODE HERE\n", " # Use scipy.optimize.linprog\n", " pass\n", "\n", "# YOUR CODE HERE\n", "# 1. Fit MAE regression using linear programming\n", "# 2. Make predictions\n", "# 3. Compare with OLS on the outlier data" ], "metadata": { "id": "mOx-ss48JXkF" }, "execution_count": 13, "outputs": [] }, { "cell_type": "code", "source": [ "# Visualization\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "plt.figure(figsize=(10, 6))\n", "\n", "# Plot test data with outliers\n", "plt.scatter(X_test_out, y_test_out, alpha=0.6, label='Test data (with outliers)', edgecolors='k', c='red')\n", "\n", "# Generate a range of X values for plotting regression lines\n", "X_line_out = np.linspace(X_test_out.min() - 0.5, X_test_out.max() + 0.5, 100).reshape(-1, 1)\n", "\n", "# Plot OLS regression line trained on outlier data\n", "plt.plot(X_line_out, ols_outlier.predict(X_line_out), label='OLS on Outlier Data', linewidth=2, linestyle='--')\n", "\n", "# Plot MAE regression line\n", "if mae_weights is not None and mae_bias is not None:\n", " plt.plot(X_line_out, X_line_out @ mae_weights + mae_bias, label='MAE (LP) on Outlier Data', linewidth=2, linestyle='-')\n", "\n", "plt.xlabel('X')\n", "plt.ylabel('y')\n", "plt.title('OLS vs MAE Regression on Data with Outliers')\n", "plt.legend()\n", "plt.grid(True, alpha=0.3)\n", "plt.show()" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 557 }, "id": "7fignOy3JWeR", "outputId": "57cf71d6-71e7-4dff-b614-df1ff5eb0ddc" }, "execution_count": 15, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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\n" }, "metadata": {} } ] }, { "cell_type": "markdown", "source": [ "### 2.3 Comparison of Robust Methods" ], "metadata": { "id": "3LeYGs27dWZj" } }, { "cell_type": "code", "source": [ "# YOUR CODE HERE\n", "# Create a comprehensive comparison:\n", "# 1. Fit OLS, MAE (LP), and Huber regression on outlier data\n", "# 2. Plot all three regression lines on the same plot\n", "# 3. Compute and compare MSE and MAE for each method\n", "# 4. Discuss which method is most robust to outliers" ], "metadata": { "id": "UjXt1NJNdVfZ" }, "execution_count": null, "outputs": [] }, { "cell_type": "markdown", "source": [ "---\n", "\n", "## Task 3: Overfitting, Bias-Variance Tradeoff, and Regularization\n", "\n", "In this task, you will:\n", "1. Explore **overfitting** using polynomial features\n", "2. Understand the **bias-variance tradeoff**\n", "3. Implement and compare **L1 (Lasso)**, **L2 (Ridge)**, and **Lp norm** regularization" ], "metadata": { "id": "LRy0w_aXdN1t" } }, { "cell_type": "code", "source": [ "# Generate data for overfitting demonstration\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "np.random.seed(STUDENT_ID)\n", "\n", "n_samples = 30 # Small dataset to encourage overfitting\n", "X_poly = np.sort(np.random.uniform(-3, 3, n_samples))\n", "y_true_poly = np.sin(X_poly) + 0.5 * X_poly\n", "y_poly = y_true_poly + np.random.randn(n_samples) * 0.3\n", "\n", "X_poly = X_poly.reshape(-1, 1)\n", "\n", "# Create test data for evaluation\n", "X_test_poly = np.linspace(-3, 3, 200).reshape(-1, 1)\n", "y_test_true = np.sin(X_test_poly.ravel()) + 0.5 * X_test_poly.ravel()\n", "\n", "# Visualize\n", "plt.figure(figsize=(10, 6))\n", "plt.scatter(X_poly, y_poly, alpha=0.8, s=80, edgecolors='k', label='Training data')\n", "plt.plot(X_test_poly, y_test_true, 'g--', linewidth=2, label='True function')\n", "plt.xlabel('X')\n", "plt.ylabel('y')\n", "plt.title('Data for Overfitting Analysis')\n", "plt.legend()\n", "plt.grid(True, alpha=0.3)\n", "plt.show()\n", "\n", "print(f\"Training samples: {n_samples}\")" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 574 }, "id": "eMSpNb7tdiqr", "outputId": "14826f82-8e03-44a8-d06b-6a0785928097" }, "execution_count": 16, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
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\n" }, "metadata": {} }, { "output_type": "stream", "name": "stdout", "text": [ "Training samples: 30\n" ] } ] }, { "cell_type": "markdown", "source": [ "### 3.1 Demonstrating Overfitting with Polynomial Features" ], "metadata": { "id": "8C5fNs7jd4fC" } }, { "cell_type": "code", "source": [ "# YOUR CODE HERE\n", "# 1. Fit polynomial regression with degrees [1, 3, 5, 10, 15]\n", "# 2. For each degree:\n", "# a. Transform features using PolynomialFeatures\n", "# b. Fit OLS regression\n", "# c. Compute training and test MSE\n", "# d. Store results\n", "# 3. Plot all polynomial fits on the same graph\n", "# 4. Create a plot showing training vs test error as a function of degree\n", "#\n", "# Hint: Use sklearn.preprocessing.PolynomialFeatures" ], "metadata": { "id": "VWolclsEd9lU" }, "execution_count": 17, "outputs": [] }, { "cell_type": "code", "source": [], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 1000 }, "id": "EIefmITOd-Xr", "outputId": "393c79b7-4646-4760-fe8a-7d4083a6fde7" }, "execution_count": 19, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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\n" }, "metadata": {} } ] }, { "cell_type": "markdown", "source": [ "### 3.2 Lasso Regression (L1 Regularization)\n", "\n", "Lasso regression minimizes:\n", "\n", "$$\\min_{w, b} \\frac{1}{2n}\\sum_{i=1}^{n}(y_i - (w^T x_i + b))^2 + \\alpha \\|w\\|_1$$\n", "\n", "where $\\|w\\|_1 = \\sum_{j}|w_j|$" ], "metadata": { "id": "XUMvIYTCdsg0" } }, { "cell_type": "code", "source": [ "class LassoRegression:\n", " def __init__(self, alpha=1.0, learning_rate=0.01, n_iterations=1000):\n", " \"\"\"\n", " Initialize Lasso Regression.\n", "\n", " Parameters:\n", " -----------\n", " alpha : float\n", " Regularization strength\n", " learning_rate : float\n", " Learning rate\n", " n_iterations : int\n", " Number of iterations\n", " \"\"\"\n", " self.alpha = alpha\n", " self.learning_rate = learning_rate\n", " self.n_iterations = n_iterations\n", " self.weights = None\n", " self.bias = None\n", " self.losses = []\n", "\n", " def soft_threshold(self, x, threshold):\n", " \"\"\"\n", " Soft thresholding operator for L1 regularization.\n", "\n", " Parameters:\n", " -----------\n", " x : float or numpy array\n", " Input value(s)\n", " threshold : float\n", " Threshold value\n", "\n", " Returns:\n", " --------\n", " result : float or numpy array\n", " Soft-thresholded value(s)\n", " \"\"\"\n", " # YOUR CODE HERE\n", " # Implement: sign(x) * max(|x| - threshold, 0)\n", " pass\n", "\n", " def fit(self, X, y):\n", " \"\"\"\n", " Fit Lasso regression using coordinate descent or gradient descent.\n", " \"\"\"\n", " n_samples, n_features = X.shape\n", "\n", " # YOUR CODE HERE\n", " # Use gradient descent with soft thresholding:\n", " # 1. Initialize weights and bias\n", " # 2. For each iteration:\n", " # a. Compute predictions and residuals\n", " # b. Compute gradients\n", " # c. Update weights using gradient and soft thresholding\n", " # d. Update bias normally (no regularization)\n", " # e. Compute and store loss\n", " pass\n", "\n", " def predict(self, X):\n", " # YOUR CODE HERE\n", " pass\n", "\n", "# YOUR CODE HERE\n", "# Train Lasso with different alpha values on polynomial features (degree 10)" ], "metadata": { "id": "ErmiVsrkdlAn" }, "execution_count": 20, "outputs": [] }, { "cell_type": "markdown", "source": [ "### 3.3 Lp Norm Regularization\n", "\n", "Generalize to Lp norm regularization:\n", "\n", "$$\\min_{w, b} \\frac{1}{2n}\\sum_{i=1}^{n}(y_i - (w^T x_i + b))^2 + \\alpha \\|w\\|_p^p$$\n", "\n", "where $\\|w\\|_p = (\\sum_{j}|w_j|^p)^{1/p}$\n", "\n", "Test with $p \\in \\{0.5, 1, 1.5, 2\\}$" ], "metadata": { "id": "f-RXqjUAeTtF" } }, { "cell_type": "code", "source": [ "class LpRegression:\n", " def __init__(self, p=2, alpha=1.0, learning_rate=0.01, n_iterations=1000):\n", " \"\"\"\n", " Initialize Lp norm regularized regression.\n", "\n", " Parameters:\n", " -----------\n", " p : float\n", " Norm parameter (e.g., 1 for L1, 2 for L2)\n", " alpha : float\n", " Regularization strength\n", " learning_rate : float\n", " Learning rate\n", " n_iterations : int\n", " Number of iterations\n", " \"\"\"\n", " self.p = p\n", " self.alpha = alpha\n", " self.learning_rate = learning_rate\n", " self.n_iterations = n_iterations\n", " self.weights = None\n", " self.bias = None\n", " self.losses = []\n", "\n", " def lp_gradient(self, weights):\n", " \"\"\"\n", " Compute gradient of Lp norm regularization term.\n", "\n", " Parameters:\n", " -----------\n", " weights : numpy array\n", " Current weights\n", "\n", " Returns:\n", " --------\n", " gradient : numpy array\n", " Gradient of Lp penalty\n", " \"\"\"\n", " # YOUR CODE HERE\n", " # Gradient of ||w||_p^p is: p * |w|^(p-1) * sign(w)\n", " pass\n", "\n", " def fit(self, X, y):\n", " \"\"\"\n", " Fit Lp regularized regression.\n", " \"\"\"\n", " n_samples, n_features = X.shape\n", "\n", " # YOUR CODE HERE\n", " # Similar to Lasso but use lp_gradient instead of soft thresholding\n", " pass\n", "\n", " def predict(self, X):\n", " # YOUR CODE HERE\n", " pass\n", "\n", "# YOUR CODE HERE\n", "# Train models with p = [0.5, 1.0, 1.5, 2.0]\n", "# Use polynomial features of degree 10\n", "# Compare sparsity of learned weights" ], "metadata": { "id": "LEodEf4QeJyO" }, "execution_count": 22, "outputs": [] }, { "cell_type": "markdown", "source": [ "### 3.4 Comprehensive Comparison and Analysis" ], "metadata": { "id": "Z9e_4UVFegcw" } }, { "cell_type": "code", "source": [ "# YOUR CODE HERE\n", "# Create comprehensive visualizations:\n", "#\n", "# 1. Plot showing all regularization methods on the same graph\n", "# (No regularization, L1, L2, Lp with different p values)\n", "#\n", "# 2. Bar plot comparing number of non-zero coefficients for each method\n", "# (to show sparsity)\n", "#\n", "# 3. Plot showing coefficient values for each method\n", "# (to visualize shrinkage)\n", "#\n", "# 4. Table comparing train/test MSE for all methods" ], "metadata": { "id": "_9xoed1mehgs" }, "execution_count": 24, "outputs": [] }, { "cell_type": "code", "source": [], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 677 }, "id": "9ybO5Fj-ejNE", "outputId": "0319ff78-8a0d-4205-c65d-b38549dbaa3b" }, "execution_count": 25, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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\n" }, "metadata": {} }, { "output_type": "stream", "name": "stdout", "text": [ "================================================================================\n", "Method Train MSE Test MSE Non-zero \n", "--------------------------------------------------------------------------------\n", "No Reg 31902756162.5732 25091332980.1736 10 \n", "Ridge (L2) 27003210.4675 22769894.4538 10 \n", "Lasso (L1) 0.0626 0.0659 5 \n", "L0.5 0.0658 0.0652 7 \n", "L1.5 0.0605 0.0647 10 \n", "================================================================================\n" ] } ] } ] }