{ "metadata": { "name": "" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "## Chapter 4: Classification ##" ] }, { "cell_type": "code", "collapsed": false, "input": [ "from __future__ import division\n", "import pandas as pd\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from sklearn.linear_model import LogisticRegression\n", "from sklearn.lda import LDA\n", "from sklearn.neighbors import KNeighborsClassifier\n", "from sklearn.metrics import confusion_matrix\n", "from sklearn.metrics import accuracy_score\n", "%matplotlib inline" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 1 }, { "cell_type": "code", "collapsed": false, "input": [ "smarket_df = pd.read_csv(\"../data/Smarket.csv\")\n", "smarket_df.head()" ], "language": "python", "metadata": {}, "outputs": [ { "html": [ "
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YearLag1Lag2Lag3Lag4Lag5VolumeTodayDirection
0 2001 0.381-0.192-2.624-1.055 5.010 1.1913 0.959 Up
1 2001 0.959 0.381-0.192-2.624-1.055 1.2965 1.032 Up
2 2001 1.032 0.959 0.381-0.192-2.624 1.4112-0.623 Down
3 2001-0.623 1.032 0.959 0.381-0.192 1.2760 0.614 Up
4 2001 0.614-0.623 1.032 0.959 0.381 1.2057 0.213 Up
\n", "

5 rows \u00d7 9 columns

\n", "
" ], "metadata": {}, "output_type": "pyout", "prompt_number": 2, "text": [ " Year Lag1 Lag2 Lag3 Lag4 Lag5 Volume Today Direction\n", "0 2001 0.381 -0.192 -2.624 -1.055 5.010 1.1913 0.959 Up\n", "1 2001 0.959 0.381 -0.192 -2.624 -1.055 1.2965 1.032 Up\n", "2 2001 1.032 0.959 0.381 -0.192 -2.624 1.4112 -0.623 Down\n", "3 2001 -0.623 1.032 0.959 0.381 -0.192 1.2760 0.614 Up\n", "4 2001 0.614 -0.623 1.032 0.959 0.381 1.2057 0.213 Up\n", "\n", "[5 rows x 9 columns]" ] } ], "prompt_number": 2 }, { "cell_type": "code", "collapsed": false, "input": [ "# equivalent to the R pairs(df) command.\n", "axes = pd.tools.plotting.scatter_matrix(smarket_df, color=\"brown\")" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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M2HIx5HIRdrnkuEFWlqzXZLejUKuJRaNUvfACgkJB36FDuA8eBKUSQatFCgQG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\n8s46C+sxmCUHu7rwtLWRUlaGdoxy5NHgt9loev11vB0dNL3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gWPjoe99LriyaXn75mIag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ZAAAg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7u/qlKgp+x5ktFPXFULUBjcmk6tAHAtiTkwHVGL1t1y5S5swhafp0BFEk5HIhaLXUvP46QY8H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\nr9He4pmYmEhAQABKpRK1Wv0/5SVSX1/vySNWVVWhVCoJDw9HkiR2797dIe/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"text": [ "" ] } ], "prompt_number": 3 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Logistic Regression ###" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "According to [this blog post](https://github.com/ariddell/tatom/blob/master/source/classification_logistic_regression.rst), Scikit-Learn's LogisticRegression has some significant differences from R's glm - to reproduce R's glm, one should use statsmodels.api.GLM. But my preference is to work with Scikit-Learn because of its greater breadth, so unless there is something that is only available from statsmodels, I am going to use Scikit-Learn. The numbers below are not identical but close." ] }, { "cell_type": "code", "collapsed": false, "input": [ "X = smarket_df[smarket_df.columns[1:-2]]\n", "y = pd.factorize(smarket_df[\"Direction\"])[0]\n", "clf = LogisticRegression()\n", "clf.fit(X, y)\n", "(clf.intercept_, clf.coef_)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 4, "text": [ "(array([ 0.11454962]),\n", " array([[ 0.07279035, 0.04229102, -0.010958 , -0.00921799, -0.01023031,\n", " -0.12793931]]))" ] } ], "prompt_number": 4 }, { "cell_type": "code", "collapsed": false, "input": [ "# return probability for each class. R's predict() only returns the probability of the first \n", "# class, so we do the same.\n", "probs = clf.predict_proba(X)\n", "[prob[0] for prob in probs[0:5]]" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 5, "text": [ "[0.50775595757199166,\n", " 0.48208765404825193,\n", " 0.48147907945142998,\n", " 0.51561031224141374,\n", " 0.51134987027174317]" ] } ], "prompt_number": 5 }, { "cell_type": "code", "collapsed": false, "input": [ "ypreds = [\"Up\" if prob[0] > 0.5 else \"Down\" for prob in probs]\n", "ypreds[0:5]" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 6, "text": [ "['Up', 'Down', 'Down', 'Up', 'Up']" ] } ], "prompt_number": 6 }, { "cell_type": "code", "collapsed": false, "input": [ "# R uses table() to tabulate the confusion matrix below\n", "yacts = [str(x) for x in smarket_df[\"Direction\"].values]\n", "confusion_matrix(yacts, ypreds)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 7, "text": [ "array([[143, 459],\n", " [135, 513]])" ] } ], "prompt_number": 7 }, { "cell_type": "code", "collapsed": false, "input": [ "accuracy_score(yacts, ypreds)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 8, "text": [ "0.52480000000000004" ] } ], "prompt_number": 8 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Make Training and Test Set ###" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# Split dataset into training and test sets\n", "smarket_train_df = smarket_df[smarket_df[\"Year\"] < 2005]\n", "smarket_test_df = smarket_df[smarket_df[\"Year\"] >= 2005]\n", "# train Logistic Regression model with training data\n", "clf2 = LogisticRegression()\n", "Xtrain = smarket_train_df[smarket_df.columns[1:-2]]\n", "ytrain = pd.factorize(smarket_train_df[\"Direction\"])[0]\n", "clf2.fit(Xtrain, ytrain)\n", "# test model with test data\n", "Xtest = smarket_test_df[smarket_df.columns[1:-2]]\n", "ytest = pd.factorize(smarket_test_df[\"Direction\"])[0]\n", "ypred = clf2.predict(Xtest)\n", "# calculate confusion matrix and accuracy\n", "confusion_matrix(ytest, ypred)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 9, "text": [ "array([[40, 71],\n", " [52, 89]])" ] } ], "prompt_number": 9 }, { "cell_type": "code", "collapsed": false, "input": [ "accuracy_score(ytest, ypred)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 10, "text": [ "0.51190476190476186" ] } ], "prompt_number": 10 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Fit smaller model ###" ] }, { "cell_type": "code", "collapsed": false, "input": [ "clf3 = LogisticRegression()\n", "Xtrain = smarket_train_df[smarket_df.columns[1:3]]\n", "Xtest = smarket_test_df[smarket_df.columns[1:3]]\n", "clf3.fit(Xtrain, ytrain)\n", "ypred = clf3.predict(Xtest)\n", "confusion_matrix(ytest, ypred)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 11, "text": [ "array([[ 76, 35],\n", " [106, 35]])" ] } ], "prompt_number": 11 }, { "cell_type": "code", "collapsed": false, "input": [ "accuracy_score(ytest, ypred)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 12, "text": [ "0.44047619047619047" ] } ], "prompt_number": 12 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Linear Discriminant Analysis ###" ] }, { "cell_type": "code", "collapsed": false, "input": [ "clf4 = LDA()\n", "clf4.fit(Xtrain, ytrain)\n", "ypred = clf4.predict(Xtest)\n", "ypred[0:5]" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 13, "text": [ "array([0, 0, 0, 0, 0])" ] } ], "prompt_number": 13 }, { "cell_type": "code", "collapsed": false, "input": [ "confusion_matrix(ytest, ypred)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 14, "text": [ "array([[ 76, 35],\n", " [106, 35]])" ] } ], "prompt_number": 14 }, { "cell_type": "code", "collapsed": false, "input": [ "accuracy_score(ytest, ypred)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 15, "text": [ "0.44047619047619047" ] } ], "prompt_number": 15 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### K-Nearest Neighbors ###" ] }, { "cell_type": "code", "collapsed": false, "input": [ "clf5 = KNeighborsClassifier()\n", "clf5.fit(Xtrain, ytrain)\n", "ypred = clf5.predict(Xtest)\n", "confusion_matrix(ytest, ypred)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 16, "text": [ "array([[71, 40],\n", " [82, 59]])" ] } ], "prompt_number": 16 }, { "cell_type": "code", "collapsed": false, "input": [ "accuracy_score(ytest, ypred)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 17, "text": [ "0.51587301587301593" ] } ], "prompt_number": 17 } ], "metadata": {} } ] }