{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true }, "outputs": [], "source": [ "%matplotlib inline\n", "import numpy as np\n", "from scipy.stats import gaussian_kde\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": true }, "outputs": [], "source": [ "from sklearn import datasets\n", "from sklearn.cross_validation import train_test_split\n", "\n", "X, y = datasets.make_classification(n_samples=50000, n_features=20,\n", " n_informative=2, n_redundant=5,\n", " random_state=0)\n", "\n", "X_train, X_test, y_train, y_test = train_test_split(\n", " X, y, train_size=500, random_state=0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Probability reliability plots" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [], "source": [ "from sklearn.calibration import calibration_curve\n", "\n", "\n", "def plot_calibration(classifiers, figsize=(10, 8)):\n", " plt.figure(figsize=figsize)\n", " ax1 = plt.subplot2grid((3, 1), (0, 0), rowspan=2)\n", " ax2 = plt.subplot2grid((3, 1), (2, 0))\n", "\n", " ax1.plot([0, 1], [0, 1], \"k:\", label=\"Perfectly calibrated\")\n", "\n", " colors = plt.cm.rainbow(np.linspace(0, 1, len(classifiers)))\n", " for (name, clf), c in zip(classifiers, colors):\n", " clf.fit(X_train, y_train)\n", " if hasattr(clf, \"predict_proba\"):\n", " prob_pos = clf.predict_proba(X_test)[:, 1]\n", " else: # use decision function\n", " prob_pos = clf.decision_function(X_test)\n", " prob_pos = \\\n", " (prob_pos - prob_pos.min()) / (prob_pos.max() - prob_pos.min())\n", " fraction_of_positives, mean_predicted_value = \\\n", " calibration_curve(y_test, prob_pos, n_bins=10)\n", "\n", " ax1.plot(mean_predicted_value, fraction_of_positives, \"s-\",\n", " label=\"%s\" % name, c=c)\n", "\n", " x = np.linspace(0, 1, 500)\n", " smoothed_prob_pos = gaussian_kde(prob_pos)(x)\n", " ax2.plot(x, smoothed_prob_pos, c=c)\n", " ax2.fill_between(x, 0, smoothed_prob_pos, alpha=0.1, facecolor=c)\n", "\n", " ax1.set_ylabel(\"Fraction of positives\")\n", " ax1.set_ylim([-0.05, 1.05])\n", " ax1.legend(loc=\"lower right\")\n", " ax1.set_title('Calibration plots (reliability curve)')\n", "\n", " ax2.set_xlabel(\"Mean predicted value\")\n", " ax2.set_ylabel(\"# samples\")\n", "\n", " plt.tight_layout()" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": [ "iVBORw0KGgoAAAANSUhEUgAAAskAAAI7CAYAAAAebwb/AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n", "AAALEgAACxIB0t1+/AAAIABJREFUeJzs3XeYXGXdxvHvnULoEIpAKMZIR0CqoAgoFgQUX5QgKtLs\n", "YkMUEXVyfFVE7B2l2xAVlVfsaAQUEFSKCggGkF5Dr0nu949zFiabLZPNzpzZ2ftzXbmyZ+bMOXd2\n", "Q/jNM7/neWSbiIiIiIh4yoS6A0REREREdJsUyRERERER/aRIjoiIiIjoJ0VyREREREQ/KZIjIiIi\n", "IvpJkRwRERER0U+K5IjoCEkLJM2ovv66pA9XX+8q6cY23/t1kn7dznsMct9TJP1vp+9b3ftPkrYc\n", 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"code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Logistic Regression: 0.878\n", "Linear SVC: 0.876\n" ] } ], "source": [ "from sklearn.cross_validation import cross_val_score\n", "\n", "print(\"Logistic Regression: %0.3f\" %\n", " cross_val_score(lr, X_train, y_train, cv=5).mean())\n", "print(\"Linear SVC: %0.3f\" %\n", " cross_val_score(svc, X_train, y_train, cv=5).mean())" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": [ "iVBORw0KGgoAAAANSUhEUgAAAskAAAI7CAYAAAAebwb/AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n", "AAALEgAACxIB0t1+/AAAIABJREFUeJzs3Xe8XFW5xvHfk0IvhiI1GCNd6dJEAS9epAkWiqgoRUFQ\n", "QRHFBpMNAhZE7IBIsWK4KhaaXjHKVaoIonTpJPTQA2nP/WPvA8PklDknZ2ZOeb6fz/lk9p61137P\n", "TAjvrHnXWrJNRERERES8ZEynA4iIiIiIGGqSJEdERERENEiSHBERERHRIElyRERERESDJMkRERER\n", "EQ2SJEdERERENEiSHBFtIWm+pMnV4+9J+kL1eHtJ97X43u+VdGkr79HDfc+RdHy771vd+6+SNhrg\n", 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}, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": [ "iVBORw0KGgoAAAANSUhEUgAAAskAAAI7CAYAAAAebwb/AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n", "AAALEgAACxIB0t1+/AAAIABJREFUeJzs3XecXGX1x/HPSSfUUBRCAuulcwm91yAISBchFAGD9CYI\n", "SIfLlSZVepMSyo8SFBUBRQRCR0ABcSgClyAhtEAooZOc3x/PXbLZbJndzMyd2f2+X6+8kpm589yz\n", "s0n23Oee5zzm7oiIiIiIyHR9ig5ARERERKTeKEkWEREREWlFSbKIiIiISCtKkkVEREREWlGSLCIi\n", "IiLSipJkEREREZFWlCSLSE2Y2TQzi/I/X2pmx+d/Hmlmb1T53D8xs7ureY52zjvGzE6u9Xnzcz9i\n", "Zit0872jzeyhFo8/MbOmMt7XlH+f2/zZYmbHmNlv2zrWzO4ys926E289MrOBZvaCmc1fdCwi0j1K\n", "kkWkbGa2i5k9lSdNE/PEZp2ujuPu+7v7KVWKcaZEzd3/z903rcb5OuH5r061vIiYVWa2FfCRuz9b\n", "ifHcfU53H1+BcU53973beW1zd78eZk7SG5G7fwlcDRxddCwi0j1KkkWkLGZ2GPAb4BTgO8Bw4GJg\n", "6xrHUe7/W1bVQMrXlTgqFfN+wPXtnsSsb4XO06NV4HO6CfipmfWvRDwiUltKkkWkU2Y2N5ACB7j7\n", "H939c3ef6u53uvtR+TGrm9ljZjY5n2W+sL3koK0yhPxW/Htm9pqZ7dLq2EvzWespwEgz28LMnjaz\n", 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"metadata": {}, "output_type": "display_data" } ], "source": [ "classifiers = [\n", " ('Logistic Regression', lr),\n", " ('Naive Bayes', gnb),\n", " ('Support Vector Classification', svc),\n", " ('Random Forest', rf),\n", "]\n", "\n", "plot_calibration(classifiers)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Calibration" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": [ "iVBORw0KGgoAAAANSUhEUgAAAskAAAI7CAYAAAAebwb/AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n", "AAALEgAACxIB0t1+/AAAIABJREFUeJzs3XecXFX5x/HPN51OQpAuIbQEgQCG3gUBmVBECdIEBRQs\n", "NFH6LDP0KqJIhyAoGAXRH6OIhdCkBaVIUSCEFgIEEkKHJM/vj3NXJpsts7szO1u+79drX7v3zp1z\n", "nplNeebc55yjiMDMzMzMzD7Vr94BmJmZmZl1N06SzczMzMyacJJsZmZmZtaEk2QzMzMzsyacJJuZ\n", "mZmZNeEk2czMzMysCSfJZtYlJM2TNDL7+RJJJ2U/byPppRr3va+kP9eyjxb6nSDp1K7uN+v7Xklj\n", "OvjcAyXdXXb8jqQRFTxvRPZ7bvb/FknHS7qiuWsl/VHS/h2JtzuSNFjSU5KG1zsWM+sYJ8lmVjFJ\n", 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"D+D8akzvBLDnEK/pAVRayNcQ0ToAf1fd/n0A36yeW6HS1/nm6mtZB2D4JrsPA/hGdd/DvY5fATgf\n", "ldbfoFr2mu9PtSvHLgAbAXwNlb7HYOY+VEbguIOI1qPS1WLBq5xbCCEmBDHXfNQjIYQ45hHRbwH8\n", "HTM/U+tYhBBCvDZpSRZCCCGEEGIUaUkWQgghhBBiFGlJFkIIIYQQYhRJkoUQQgghhBhFkmQhhBBC\n", "CCFGkSRZCCGEEEKIUSRJFkIIIYQQYpT/D1sDcK7r7IUYAAAAAElFTkSuQmCC\n" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from sklearn.calibration import CalibratedClassifierCV\n", "\n", "svc = LinearSVC(C=1.0)\n", "sigmoid_svc = CalibratedClassifierCV(svc, method='sigmoid')\n", "isotonic_svc = CalibratedClassifierCV(svc, method='isotonic')\n", "svc_models = [\n", " ('SVM (raw)', svc),\n", " ('SVM + sigmoid calibration', sigmoid_svc),\n", " ('SVM + isotonic calibration', isotonic_svc),\n", "]\n", "plot_calibration(svc_models)" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": [ 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"stream", "text": [ "Naive Bayes (without calibration):\tBrier score = 0.118, log loss = 0.637\n", "Naive Bayes + sigmoid calibration:\tBrier score = 0.111, log loss = 0.371\n", "Naive Bayes + isotonic calibration:\tBrier score = 0.100, log loss = 0.439\n" ] } ], "source": [ "from sklearn.metrics import log_loss, brier_score_loss\n", "\n", "for name, model in gnb_models:\n", " prob_pos = model.fit(X_train, y_train).predict_proba(X_test)[:, 1]\n", " \n", " bs = brier_score_loss(y_test,prob_pos)\n", " ll = log_loss(y_test, prob_pos)\n", " print(\"%s:\\tBrier score = %0.3f, log loss = %0.3f\"\n", " % (name, bs, ll))" ] }, { "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": "3.4.2" } }, "nbformat": 4, "nbformat_minor": 0 }