{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Extra - Comparación entre regresión bayesiana y MLE" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Imports y funciones auxiliares" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "# Datos\n", "X_raw = np.array([206, 188, 219, 372, 345, 231, 203, 170, 55, 91, 292, 141, 129, 170, 324], dtype='float')\n", "y = np.array([29, 25, 31, 25, 29, 30, 26, 23, 12, 15, 28, 24, 23, 22, 30], dtype='float').reshape(-1, 1)" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "def polynomial_features(X, K):\n", " return np.column_stack([X**k for k in range(K+1)])" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "def bayesian_posterior(X, y, sigma2, Sigma0_inv, mu0):\n", " Sigma1_inv = (1/sigma2) * np.matmul(X.T, X) + Sigma0_inv\n", " Sigma1 = np.linalg.inv(Sigma1_inv)\n", " \n", " mu1 = np.matmul(Sigma1, (1/sigma2) * np.matmul(X.T, y) + np.matmul(Sigma0_inv, mu0))\n", " \n", " return mu1, Sigma1" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "def maximum_likelihood(X, y):\n", " theta_ml = np.matmul(np.linalg.inv(np.matmul(X.T,X)),np.matmul(X.T,y))\n", " return theta_ml" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Gráficos de predicción y varianza para un grado dado" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "def plot_for_degree(K):\n", " X = polynomial_features(X_raw, K)\n", " x_new_raw = np.linspace(50, 400, 500)\n", " x_new = polynomial_features(x_new_raw, K)\n", "\n", " # Usamos el sigma2 estimado de maxima verosimilitud\n", " theta_ml = maximum_likelihood(X,y)\n", " sigma2 = np.mean((np.matmul(X,theta_ml)-y)**2)\n", "\n", " # Bayesian Approach\n", " mu0 = np.zeros((K+1, 1))\n", " Sigma0_inv = np.eye(K+1) / 100\n", " mu1, Sigma1 = bayesian_posterior(X, y, sigma2, Sigma0_inv, mu0)\n", "\n", " y_pred_bayes = np.matmul(x_new,mu1)\n", " \n", " variance_bayes = np.diagonal(\n", " np.matmul(\n", " x_new,\n", " np.matmul(\n", " Sigma1, x_new.T\n", " )\n", " )\n", " ) + sigma2\n", "\n", " std_bayes = np.sqrt(variance_bayes)\n", "\n", " # Maximum Likelihood\n", " y_pred_ml = np.matmul(x_new,theta_ml)\n", " variance_ml = np.diagonal(sigma2 * np.matmul(x_new, np.matmul(np.linalg.inv(np.matmul(X.T,X)),x_new.T)))\n", " std_ml = np.sqrt(variance_ml)\n", "\n", " # Plotting\n", " fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(10, 4))\n", " \n", " # Bayesian\n", " ax1.plot(x_new_raw, y_pred_bayes.ravel(), color='tab:red', label='Predicción Bayesiana')\n", " ax1.fill_between(x_new_raw, y_pred_bayes.ravel() - std_bayes, y_pred_bayes.ravel() + std_bayes, color='tab:red', alpha=0.2)\n", " ax1.scatter(X_raw, y.ravel(), c='tab:blue', s=50, zorder=10)\n", " ax1.set_ylim([0,40])\n", " ax1.set_title(f\"Bayesiana para grado K={K}\")\n", " ax1.grid(True)\n", " \n", " # Maximum Likelihood\n", " ax2.plot(x_new_raw, y_pred_ml.ravel(), color='tab:green', label='Predicción MLE')\n", " ax2.fill_between(x_new_raw, y_pred_ml.ravel() - std_ml, y_pred_ml.ravel() + std_ml, color='tab:green', alpha=0.2)\n", " ax2.scatter(X_raw, y.ravel(), c='tab:blue', s=50, zorder=10)\n", " ax2.set_ylim([0,40])\n", " ax2.set_title(f\"MLE para grado K={K}\")\n", " ax2.grid(True)\n", " \n", " plt.show()" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Grado 1\n", "plot_for_degree(1)" ] }, { "cell_type": "code", "execution_count": 66, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Grado 2\n", "plot_for_degree(2)" ] }, { "cell_type": "code", "execution_count": 67, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Grado 3\n", "plot_for_degree(3)" ] }, { "cell_type": "code", "execution_count": 68, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Grado 4\n", "plot_for_degree(4)" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Grado 6\n", "plot_for_degree(6)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Gráfico de la varianza en función del grado" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "def plot_variance():\n", " K_values = list(range(1, 7))\n", " bayes_stds = []\n", " ml_stds = []\n", "\n", " for K in K_values:\n", " X = polynomial_features(X_raw, K)\n", " x_new_raw = np.linspace(50, 400, 500)\n", " x_new = polynomial_features(x_new_raw, K)\n", "\n", " # Usamos el sigma2 estimado de maxima verosimilitud\n", " theta_ml = maximum_likelihood(X,y)\n", " sigma2 = np.mean((np.matmul(X,theta_ml)-y)**2)\n", "\n", " # Bayesian Approach\n", " mu0 = np.zeros((K+1, 1))\n", " Sigma0_inv = np.eye(K+1) / 100\n", " mu1, Sigma1 = bayesian_posterior(X, y, sigma2, Sigma0_inv, mu0)\n", "\n", " variance_bayes = np.diagonal(\n", " np.matmul(\n", " x_new,\n", " np.matmul(\n", " Sigma1, x_new.T\n", " )\n", " )\n", " ) + sigma2\n", "\n", " std_bayes = np.sqrt(variance_bayes)\n", " bayes_stds.append(np.mean(std_bayes))\n", "\n", " # Maximum Likelihood\n", " variance_ml = np.diagonal(sigma2 * np.matmul(x_new, np.matmul(np.linalg.inv(np.matmul(X.T,X)),x_new.T)))\n", " std_ml = np.sqrt(variance_ml)\n", " ml_stds.append(np.mean(std_ml))\n", "\n", " # Plotting\n", " plt.plot(K_values, bayes_stds, 'tab:red', label='Desvío promedio Bayesiana')\n", " plt.plot(K_values, ml_stds, 'tab:green', label='Desvío promedio MLE')\n", " plt.xlabel(\"Grado K\")\n", " plt.ylabel(\"Desvío promedio\")\n", " plt.title(\"Desvío promedio vs Grado\")\n", " plt.legend()\n", " plt.grid(True)\n", " plt.show()" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Llamamos a la función\n", "plot_variance()" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "base", "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": "3.8.15" }, "orig_nbformat": 4 }, "nbformat": 4, "nbformat_minor": 2 }