{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "![MLU Logo](../../data/MLU_Logo.png)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In this exercise, we will investigate the effect of bagging on overfitting.\n", "Let's first create our dataset." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Note: you may need to restart the kernel to use updated packages.\n" ] } ], "source": [ "%pip install -q -r ../../requirements.txt" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "__Dataset:__" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Build and plot a test dataset\n", "import numpy as np\n", "%matplotlib inline\n", "import matplotlib.pyplot as plt\n", "\n", "np.random.seed(1701)\n", "\n", "x = np.random.randn(1000)/2\n", "y = x**2+x**3 + 0.5*np.random.randn(1000)\n", "\n", "plt.figure(figsize=(10,10))\n", "plt.title(\"Dataset\")\n", "plt.xlabel(\"x\")\n", "plt.ylabel(\"y\")\n", "plt.scatter(x,y,alpha=0.1)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "__Decision Tree:__\n", "\n", "First, we will use a simple decision tree with max_depth=8" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from sklearn.tree import DecisionTreeRegressor\n", "\n", "model = DecisionTreeRegressor(max_depth = 8)\n", "model.fit(np.array(x).reshape(-1,1),y)\n", "\n", "xp = np.arange(-2.0, 2.0, 0.01)\n", "yp = model.predict(np.array(xp).reshape(-1,1))\n", "\n", "# Plot the results\n", "plt.figure(figsize = (10,10))\n", "plt.title(\"Tree with max_depth=8\")\n", "plt.scatter(x,y,alpha=0.1)\n", "plt.plot(xp,yp,linewidth=2,color='orange')\n", "plt.xlabel(\"x\")\n", "plt.ylabel(\"y\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "__Bagging:__\n", "\n", "Let's increase the number of trees to 100 and take the average of them." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from sklearn.utils import resample\n", "\n", "# bag a bunch of models (done by hand for fun)\n", "k = 100 # Number of Trees to learn\n", "n_prime = 1000 # Number of samples in data subsets\n", "\n", "yp_bagged = np.zeros(len(xp))\n", "for i in range(k) :\n", " xr, yr = resample(x,y, n_samples = n_prime)\n", " model = DecisionTreeRegressor(max_depth = 8)\n", " model.fit(np.array(xr).reshape(-1,1),yr)\n", " yp_bagged += model.predict(np.array(xp).reshape(-1,1))/float(k)\n", " \n", "# Plot the results\n", "plt.figure(figsize = (10,10))\n", "plt.title(\"Bagging of 100 Trees\")\n", "plt.scatter(x,y,alpha=0.1)\n", "plt.xlabel(\"x\")\n", "plt.ylabel(\"y\")\n", "plt.plot(xp,yp_bagged,linewidth=2,color='orange')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Reduce the number of samples per tree to 100. It was 1000 before." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from sklearn.utils import resample\n", "\n", "# bag a bunch of models (done by hand for fun)\n", "k = 100 # Number of Trees to learn\n", "n_prime = 100 # Number of samples in data subsets\n", "\n", "yp_bagged = np.zeros(len(xp))\n", "for i in range(k) :\n", " xr, yr = resample(x,y, n_samples = n_prime)\n", " model = DecisionTreeRegressor(max_depth = 8)\n", " model.fit(np.array(xr).reshape(-1,1),yr)\n", " yp_bagged += model.predict(np.array(xp).reshape(-1,1))/float(k)\n", " \n", "# Plot the results\n", "plt.figure(figsize = (10,10))\n", "plt.title(\"Bagging of 100 Trees with 10% of data\")\n", "plt.scatter(x,y,alpha=0.1)\n", "plt.xlabel(\"x\")\n", "plt.ylabel(\"y\")\n", "plt.plot(xp,yp_bagged,linewidth=2,color='orange')\n", "plt.show()" ] } ], "metadata": { "kernelspec": { "display_name": "conda_python3", "language": "python", "name": "conda_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": "3.6.13" } }, "nbformat": 4, "nbformat_minor": 2 }