{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Introduction to Machine Learning" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": true }, "outputs": [], "source": [ "%matplotlib inline\n", "\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "from sklearn.cluster import KMeans\n", "from sklearn.datasets import make_blobs\n", "\n" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(-2.5, 3.6)" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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env3CfeedxjslxADPs5XitWulb9/5Smuzu+ta3Sev7osyMqRddonMCRcsCL/r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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "rng = np.random.RandomState(0)\n", "n_samples = 100\n", "p = 0.5 # probability of the second class\n", "mu = [[0, 0], [2, 1]]; std = [1, 1.2]\n", "Y = 0+(rng.rand(n_samples)" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(12, 8))\n", "plt.scatter(X[:,0], X[:,1], c=\"gray\")\n", "plt.xlim(-2, 5); plt.ylim(-2.5, 3.6)" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(-2.5, 3.6)" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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LEwbGUOYiSygWQgx5RVklbPxgG1s+S6W5rhUnD0dmXpHE7KXT5GQ5IQZYZVE1nz//HRs/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oiI7M5IYGZ0f9qaeAKlKbmWncfTi37nrVXb8HdzYeXkx3lrcPc6J4hzcoqZ+tpy4k4m8dq0AUx4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\nfaXs23/2g9AUHu7HtKnxTJsaT+rEKDw8XG1cqbgSHZ19nDpVz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VIeCAkhhLguEoqFw2io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\n/wc7a54Cl4eZBgAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot density of X\n", "\n", "delta = 0.01\n", "x1 = np.arange(-3.0, 5.0, delta)\n", "x2 = np.arange(-2.3, 3.5, delta)\n", "xx1, xx2 = np.meshgrid(x1, x2)\n", "Z = p*1/(2*np.pi*std[1]**2) * np.exp(-((xx1-mu[1][0])**2+(xx2-mu[1][1])**2)/(2*std[1]**2)) + (1-p)*1/(2*np.pi*std[0]**2) * np.exp(-((xx1-mu[0][0])**2+(xx2-mu[0][1])**2)/(2*std[0]**2))\n", "plt.figure(figsize=(12, 8))\n", "cplot = plt.contour(x1, x2, Z)\n", "plt.clabel(cplot, inline=1, fontsize=10)\n", "plt.scatter(X[:,0], X[:,1], c=\"gray\")\n", "plt.xlim(-2, 5); plt.ylim(-2.5, 3.6)" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "image/png": 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SJElHkVEbig8WTws2t8GmNoin7YA5vQlmj4ea8uIOx0N9x3v7TaIpgUuDpiqV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\nFs7N4xe/a6R/4PSBBU8/DdXVMG+edalr9Wo4fjw75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lNYuRJ+8hN7962q8HLhimIefqKF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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "delta = 0.01\n", "x1 = np.arange(-3.0, 5.0, delta)\n", "x2 = np.arange(-2.3, 3.5, delta)\n", "xx1, xx2 = np.meshgrid(x1, x2)\n", "Z = np.log((1-p)/p*std[1]**2/std[0]**2) + ((xx1-mu[1][0])**2+(xx2-mu[1][1])**2)/(2*std[1]**2)-((xx1-mu[0][0])**2+(xx2-mu[0][1])**2)/(2*std[0]**2)\n", "Z = 1/(1+np.exp(Z))\n", "#Z = ((xx1-mu[1][0])**2+(xx2-mu[1][1])**2)-((xx1-mu[0][0])**2+(xx2-mu[0][1])**2)\n", "plt.figure(figsize=(12, 8))\n", "cplot = plt.contour(x1, x2, Z, [k/10 for k in range(1,10)], cmap=\"coolwarm\")\n", "plt.clabel(cplot, inline=1, fontsize=10)\n", "plt.scatter(X[:,0], X[:,1], c=Y, cmap=\"bwr\")\n", "plt.xlim(-2, 5); plt.ylim(-2.5, 3.6);" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "image/png": 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xzPVFApCKYvFZv/ziuviNjTXbKvxRUFAQAwYM4IsvvmD+/Pncc8897Nmzx+lY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\nIiXFbA5v08b91xo/Hp555sJ0v7CwC18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CFoQGQUGBIBAXqAsiCcqaELKd+8chlyUTgcxk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\n0/DngERw5ZVXavv27Zo/f77vKAAQ9yjFiChr3Vs0jRtXfwR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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "delta = 0.01\n", "x1 = np.arange(-3.0, 5.0, delta)\n", "x2 = np.arange(-2.3, 3.5, delta)\n", "xx1, xx2 = np.meshgrid(x1, x2)\n", "Z = np.log((1-p)/p*std[1]**2/std[0]**2) + ((xx1-mu[1][0])**2+(xx2-mu[1][1])**2)/(2*std[1]**2)-((xx1-mu[0][0])**2+(xx2-mu[0][1])**2)/(2*std[0]**2)\n", "#Z = ((xx1-mu[1][0])**2+(xx2-mu[1][1])**2)-((xx1-mu[0][0])**2+(xx2-mu[0][1])**2)\n", "plt.figure(figsize=(12, 8))\n", "plt.contour(x1, x2, Z, 0, colors='black')\n", "plt.scatter(X[:,0], X[:,1], c=Y, cmap=\"bwr\")\n", "plt.xlim(-2, 5); plt.ylim(-2.5, 3.6);" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "image/png": 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i+bDhTew4rMb7795Nrd6r2nwvy90HS6nDI95WrUReeik+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\n72RBgb4o275dfz/79486zIh89ZV2z6g7q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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(12, 8))\n", "for k in range(3):\n", " Y2 = np.zeros(n_samples)\n", " for i in range(n_samples):\n", " Y2[i] = rng.rand() < p/(1-p) * 1/(1+std[1]**2/std[0]**2*np.exp(((X[i,0]-mu[1][0])**2+(X[i,1]-mu[1][1])**2)/(2*std[1]**2)\n", " -((X[i,0]-mu[0][0])**2+(X[i,1]-mu[0][1])**2)/(2*std[0]**2)))\n", " plt.subplot(2,2,1+k)\n", " plt.scatter(X[:,0], X[:,1], c=Y2, cmap=\"bwr\")\n", "plt.xlim(-2, 5); plt.ylim(-2.5, 3.6)\n", "plt.subplot(224)\n", "plt.scatter(X[:,0], X[:,1], c=Y, cmap=\"bwr\")\n", "plt.xlim(-2, 5); plt.ylim(-2.5, 3.6);" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "scrolled": true }, "outputs": [ { "data": { "image/png": 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whGJgOPb3I5bLB9uWy+6D6GU1etXvBRgkoRgYjk3ZSOKyGr3q9wIMklAMDMembCRxcBDx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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(12, 8))\n", "plt.scatter(X[Y==1,0], X[Y==1,1], c='red')\n", "plt.xlim(-2, 5); plt.ylim(-2.5, 3.6)\n", "plt.figure(figsize=(12, 8))\n", "plt.scatter(X[Y==0,0], X[Y==0,1], c='blue')\n", "plt.xlim(-2, 5); plt.ylim(-2.5, 3.6);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Nearest Neighbor Classification" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "KNeighborsClassifier(algorithm='auto', leaf_size=30, metric='minkowski',\n", " metric_params=None, n_jobs=1, n_neighbors=1, p=2,\n", " weights='uniform')" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from sklearn.neighbors import KNeighborsClassifier\n", "neigh = KNeighborsClassifier(n_neighbors=1)\n", "neigh.fit(X, Y) " ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "collapsed": true }, "outputs": [], "source": [ "Xtest = np.column_stack((xx1.flatten(), xx2.flatten()))\n", "Ytest = neigh.predict(Xtest)" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "data": { "image/png": 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G6DSgHze9+yqDTjiaL8e/xPhLrqG0oDDGVWhssjJZHcylOuLe0kbR7EbzrjkA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\n6YzQTbNnDuC266dx172fcsFZY1h43OD2r3jzDFi5p+Xo40YCp6/vYWR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DfQmOvS+RB/jq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+Z/lzBZGgO9mMofO79GUWjMF/5fAVoplNagTn8UFBqNBmWA1oXHlT7tVxmJuwp8rTDQNAV6uCh8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\nIiIionopiiMiIiKieimKIyIiIqJ6PwBqFEc7ebhTVQAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(12, 8))\n", "plt.scatter(Xtest[:,0], Xtest[:,1], c=Ytest, cmap=\"Set3\")#\"Pastel2\")\n", "plt.scatter(X[:,0], X[:,1], c=Y, cmap=\"bwr\")\n", "plt.contour(x1, x2, Z, 0, colors='black')\n", "plt.xlim(-2, 5); plt.ylim(-2.5, 3.6);" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "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": "3.6.6" } }, "nbformat": 4, "nbformat_minor": 2 }