{ "metadata": { "name": "synthetic knn" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "code", "collapsed": false, "input": [ "from sklearn import datasets\n", "from sklearn.neighbors import KNeighborsClassifier\n", "from matplotlib.colors import ListedColormap" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 5 }, { "cell_type": "code", "collapsed": false, "input": [ "cmap_light = ListedColormap(['#FFAAAA', '#AAFFAA'])\n", "cmap_bold = ListedColormap(['#FF0000', '#00FF00'])\n", "\n", "h = .01 # step size in the mesh\n", "\n", "x_min, x_max = X[:, 0].min() - .1, X[:, 0].max() + .1\n", "y_min, y_max = X[:, 1].min() - .1, X[:, 1].max() + .1\n", "xx, yy = np.meshgrid(np.arange(x_min, x_max, h),\n", " np.arange(y_min, y_max, h))\n", "\n", "#X, y = datasets.make_blobs(center_box=[-1, 1], random_state=2, n_samples=300, cluster_std=.2)\n", "X, y = datasets.make_moons(noise=.3, n_samples=200, random_state=1)\n", "plt.figsize(10, 10)\n", "\n", "from sklearn.cross_validation import train_test_split\n", "X_train, X_test, y_train, y_test = train_test_split(X, y, test_size=.5, random_state=0)\n", "plt.scatter(X_train[:, 0], X_train[:, 1], c=y_train, cmap=cmap_bold, s=50)\n", "plt.xlim(x_min, x_max)\n", "plt.ylim(y_min, y_max)\n", "plt.xticks(())\n", "plt.yticks(())\n", "plt.tight_layout()\n", "plt.savefig(\"presentation/knn-pics/two_moons.pdf\") " ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "display_data", "png": 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Jim/YUJH796trSorSJX3pcOiaOnX03bx5ioyM/MdjBNvT/fppy4QJGu90qozO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\nZ+Ddye/qjkfv0N5xe+U76FPeH3la3Gmxrmx7pX799Vez40Xc3r17NXD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} ], "prompt_number": 13 }, { "cell_type": "code", "collapsed": false, "input": [ "\n", "plt.figsize(15, 3)\n", "\n", "\n", "\n", "n_neighbors = [1, 2, 5, 20, 50]\n", "fig, axes = plt.subplots(1, len(n_neighbors))\n", "for ax, k in zip(axes, n_neighbors):\n", " clf = KNeighborsClassifier(n_neighbors=k)\n", " clf.fit(X_train, y_train)\n", " \n", "\n", " Z = clf.predict(np.c_[xx.ravel(), yy.ravel()])\n", "\n", " # Put the result into a color plot\n", " Z = Z.reshape(xx.shape)\n", " ax.contourf(xx, yy, Z, cmap=cmap_light)\n", "\n", " # Plot also the training points\n", " ax.scatter(X_train[:, 0], X_train[:, 1], c=y_train, cmap=cmap_bold)\n", " ax.set_xticks(())\n", " ax.set_yticks(())\n", " ax.set_xlim(x_min, x_max)\n", " ax.set_ylim(y_min, y_max)\n", " ax.set_title(\"k = %d\" % k)\n", "plt.tight_layout()\n", "plt.savefig(\"presentation/knn-pics/two_moons_varying_k.pdf\") \n" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "display_data", "png": 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v/yEhkmjKxx/TTa/nO+ATnQ7vjBn5tGFDm/WfM1MmfC0WjHHH94Boi4VMKVxEOXjxIgV7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} ], "prompt_number": 14 }, { "cell_type": "code", "collapsed": false, "input": [ "from sklearn.neighbors import KNeighborsClassifier\n", "from sklearn.cross_validation import StratifiedKFold\n", "train_scores = []\n", "test_scores = []\n", "ks = range(1, 100, 4)\n", "for i in ks:\n", " knn = KNeighborsClassifier(n_neighbors=i)\n", " \n", " this_train = []\n", " this_test = []\n", " for train, test in StratifiedKFold(y, 10):\n", " knn.fit(X[train], y[train])\n", " this_train.append(knn.score(X[train], y[train]))\n", " this_test.append(knn.score(X[test], y[test]))\n", " \n", " train_scores.append(np.mean(this_train))\n", " test_scores.append(np.mean(this_test))\n", "plt.figsize(6, 3)\n", "plt.plot(ks, train_scores, label=\"training scores\")\n", "plt.legend(loc=\"best\")\n", "plt.tight_layout()\n", "plt.savefig(\"presentation/knn-pics/two_moons_cross_validation_1.pdf\") \n", "plt.plot(ks, test_scores, label=\"validation scores\")\n", "plt.legend(loc=\"best\")\n", "plt.savefig(\"presentation/knn-pics/two_moons_cross_validation_2.pdf\")\n", "best_k = 40\n", "knn = KNeighborsClassifier(n_neighbors=best_k)\n", "knn.fit(X, y)\n", "X_, y_ = datasets.make_moons(noise=.3, n_samples=200, random_state=2)\n", "plt.plot(best_k, knn.score(X_, y_), 'o', label=\"test score\")\n", "plt.legend(loc=\"best\")\n", "plt.savefig(\"presentation/knn-pics/two_moons_cross_validation_3.pdf\")" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stderr", "text": [ "/home/local/lamueller/checkout/scikit-learn/sklearn/neighbors/classification.py:131: NeighborsWarning: kneighbors: neighbor k+1 and neighbor k have the same distance: results will be dependent on data order.\n", " neigh_dist, neigh_ind = self.kneighbors(X)\n", "/home/local/lamueller/checkout/scikit-learn/sklearn/neighbors/classification.py:131: NeighborsWarning: kneighbors: neighbor k+1 and neighbor k have the same distance: results will be dependent on data order.\n", " neigh_dist, neigh_ind = self.kneighbors(X)\n", "/home/local/lamueller/checkout/scikit-learn/sklearn/neighbors/classification.py:131: NeighborsWarning: kneighbors: neighbor k+1 and neighbor k have the same distance: results will be dependent on data order.\n", " neigh_dist, neigh_ind = self.kneighbors(X)\n", "/home/local/lamueller/checkout/scikit-learn/sklearn/neighbors/classification.py:131: NeighborsWarning: kneighbors: neighbor k+1 and neighbor k have the same distance: results will be dependent on data order.\n", " neigh_dist, neigh_ind = self.kneighbors(X)\n", "/home/local/lamueller/checkout/scikit-learn/sklearn/neighbors/classification.py:131: NeighborsWarning: kneighbors: neighbor k+1 and neighbor k have the same distance: results will be dependent on data order.\n", " neigh_dist, neigh_ind = self.kneighbors(X)\n", "/home/local/lamueller/checkout/scikit-learn/sklearn/neighbors/classification.py:131: NeighborsWarning: kneighbors: neighbor k+1 and neighbor k have the same distance: results will be dependent on data order.\n", " neigh_dist, neigh_ind = self.kneighbors(X)\n", "/home/local/lamueller/checkout/scikit-learn/sklearn/neighbors/classification.py:131: NeighborsWarning: kneighbors: neighbor k+1 and neighbor k have the same distance: results will be dependent on data order.\n", " neigh_dist, neigh_ind = self.kneighbors(X)\n", "/home/local/lamueller/checkout/scikit-learn/sklearn/neighbors/classification.py:131: NeighborsWarning: kneighbors: neighbor k+1 and neighbor k have the same distance: results will be dependent on data order.\n", " neigh_dist, neigh_ind = self.kneighbors(X)\n", "/home/local/lamueller/checkout/scikit-learn/sklearn/neighbors/classification.py:131: NeighborsWarning: kneighbors: neighbor k+1 and neighbor k have the same distance: results will be dependent on data order.\n", " neigh_dist, neigh_ind = self.kneighbors(X)\n", "/home/local/lamueller/checkout/scikit-learn/sklearn/neighbors/classification.py:131: NeighborsWarning: kneighbors: neighbor k+1 and neighbor k have the same distance: results will be dependent on data order.\n", " neigh_dist, neigh_ind = self.kneighbors(X)\n" ] }, { "output_type": "display_data", "png": 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xwmM2XNjA05RXLzj3quKT4zl04xDn75+nQ+0OeNl70aNeD6qWz/n8/R2XdjH0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\nEkIYmv374b33oEsXmDsXzLM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} ], "prompt_number": 17 }, { "cell_type": "code", "collapsed": false, "input": [ "plt.figsize(10, 10)\n", "ax = plt.gca()\n", "if True:\n", " clf = KNeighborsClassifier(n_neighbors=5)\n", " clf.fit(X_train, y_train)\n", " \n", "\n", " Z = clf.predict(np.c_[xx.ravel(), yy.ravel()])\n", "\n", " # Put the result into a color plot\n", " Z = Z.reshape(xx.shape)\n", " ax.contourf(xx, yy, Z, cmap=cmap_light)\n", "\n", " # Plot also the training points\n", " ax.scatter(X_train[:, 0], X_train[:, 1], c=y_train, cmap=cmap_bold, s=50)\n", " ax.set_xticks(())\n", " ax.set_yticks(())\n", " ax.set_xlim(x_min, x_max)\n", " ax.set_ylim(y_min, y_max)\n", " #ax.set_title(\"k = %d\" % 5)\n", "plt.tight_layout()\n", "plt.savefig(\"presentation/knn-pics/two_moons_k=5.pdf\") " ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "display_data", "png": 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FwxF2brnTScXSpcPOSXx5bcIEng8pxwDFgI/cbt6eMiXfH9rsWr8+PwwdysYRI/jphRe4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\narnnuqV+ki6VvBO8yrk/R8/d+JzV8QAgqlGQASAOzXhrhtz3uCXH34+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