{ "metadata": { "name": "", "signature": "sha256:7a730ef3acfb35d21cbcf088d6d689c38d4da8cdfd56f6f582140e074202ad98" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "Supervised Learning: Regression of Housing Data" ] }, { "cell_type": "heading", "level": 5, "metadata": {}, "source": [ "[ This notebook file is a modified version of the PyCon13 scikit-learn tutorial designed by Jake VanderPlas\n", "(jakevdp@cs.washington.edu) ]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "By the end of this section you will\n", "\n", "- Know how to instantiate a scikit-learn regression model\n", "- Know how to train a regressor by calling the `fit(...)` method\n", "- Know how to predict new labels by calling the `predict(...)` method\n", "\n", "Here we'll do a short example of a regression problem: learning a continuous value\n", "from a set of features.\n", "\n", "We'll use the simple Boston house prices set, available in scikit-learn. This\n", "records measurements of 13 attributes of housing markets around Boston, as well\n", "as the median price. The question is: can you predict the price of a new\n", "market given its attributes?\n", "\n", "First we'll load the dataset:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "from sklearn.datasets import load_boston\n", "data = load_boston()\n", "print data.keys()" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "['data', 'feature_names', 'DESCR', 'target']\n" ] } ], "prompt_number": 1 }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can see that there are just over 500 data points:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "print data.data.shape\n", "print data.target.shape" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "(506, 13)\n", "(506,)\n" ] } ], "prompt_number": 2 }, { "cell_type": "markdown", "metadata": {}, "source": [ "The ``DESCR`` variable has a long description of the dataset:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "print data.DESCR" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Boston House Prices dataset\n", "\n", "Notes\n", "------\n", "Data Set Characteristics: \n", "\n", " :Number of Instances: 506 \n", "\n", " :Number of Attributes: 13 numeric/categorical predictive\n", " \n", " :Median Value (attribute 14) is usually the target\n", "\n", " :Attribute Information (in order):\n", " - CRIM per capita crime rate by town\n", " - ZN proportion of residential land zoned for lots over 25,000 sq.ft.\n", " - INDUS proportion of non-retail business acres per town\n", " - CHAS Charles River dummy variable (= 1 if tract bounds river; 0 otherwise)\n", " - NOX nitric oxides concentration (parts per 10 million)\n", " - RM average number of rooms per dwelling\n", " - AGE proportion of owner-occupied units built prior to 1940\n", " - DIS weighted distances to five Boston employment centres\n", " - RAD index of accessibility to radial highways\n", " - TAX full-value property-tax rate per $10,000\n", " - PTRATIO pupil-teacher ratio by town\n", " - B 1000(Bk - 0.63)^2 where Bk is the proportion of blacks by town\n", " - LSTAT % lower status of the population\n", " - MEDV Median value of owner-occupied homes in $1000's\n", "\n", " :Missing Attribute Values: None\n", "\n", " :Creator: Harrison, D. and Rubinfeld, D.L.\n", "\n", "This is a copy of UCI ML housing dataset.\n", "http://archive.ics.uci.edu/ml/datasets/Housing\n", "\n", "\n", "This dataset was taken from the StatLib library which is maintained at Carnegie Mellon University.\n", "\n", "The Boston house-price data of Harrison, D. and Rubinfeld, D.L. 'Hedonic\n", "prices and the demand for clean air', J. Environ. Economics & Management,\n", "vol.5, 81-102, 1978. Used in Belsley, Kuh & Welsch, 'Regression diagnostics\n", "...', Wiley, 1980. N.B. Various transformations are used in the table on\n", "pages 244-261 of the latter.\n", "\n", "The Boston house-price data has been used in many machine learning papers that address regression\n", "problems. \n", " \n", "**References**\n", "\n", " - Belsley, Kuh & Welsch, 'Regression diagnostics: Identifying Influential Data and Sources of Collinearity', Wiley, 1980. 244-261.\n", " - Quinlan,R. (1993). Combining Instance-Based and Model-Based Learning. In Proceedings on the Tenth International Conference of Machine Learning, 236-243, University of Massachusetts, Amherst. Morgan Kaufmann.\n", " - many more! (see http://archive.ics.uci.edu/ml/datasets/Housing)\n", "\n" ] } ], "prompt_number": 3 }, { "cell_type": "markdown", "metadata": {}, "source": [ "It often helps to quickly visualize pieces of the data using histograms, scatter plots,\n", "or other plot types. Here we'll load pylab and show a histogram of the target values:\n", "the median price in each neighborhood." ] }, { "cell_type": "code", "collapsed": false, "input": [ "%pylab inline" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Populating the interactive namespace from numpy and matplotlib\n" ] } ], "prompt_number": 4 }, { "cell_type": "code", "collapsed": false, "input": [ "plt.hist(data.target)\n", "plt.xlabel('price ($1000s)')\n", "plt.ylabel('count')\n", "plt.show()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAYcAAAEPCAYAAACp/QjLAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nJKnDcJAkdRgOkqQOw0GS1GE4SJI6/j9AtPYwMK8NdwAAAABJRU5ErkJggg==\n", "text": [ "" ] } ], "prompt_number": 5 }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Quick Exercise:** Try some scatter plots of the features versus the target.\n", "\n", "Are there any features that seem to have a strong correlation with the\n", "target value? Any that don't?\n", "\n", "Remember, you can get at the data columns using:\n", "\n", " column_i = data.data[:, i]" ] }, { "cell_type": "code", "collapsed": false, "input": [ "n_chns = 6\n", "fig, axs = plt.subplots(1, n_chns, sharey=True, figsize=(24,8))\n", "for ii in range(0,n_chns):\n", " axs[ii].scatter (data.data[:,ii],data.target)\n", " axs[ii].set_title('Median value (Y) vs {0} (X)'.format(data.feature_names[ii]),fontsize=16)\n", "plt.show()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAABWkAAAHrCAYAAAC92h8fAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", "text": [ "" ] } ], "prompt_number": 6 }, { "cell_type": "markdown", "metadata": {}, "source": [ "This is a manual version of a technique called **feature selection**.\n", "\n", "Sometimes, in Machine Learning it is useful to use \n", "feature selection to decide which features are most useful for a\n", "particular problem. Automated methods exist which quantify this sort\n", "of exercise of choosing the most informative features. We won't cover\n", "feature selection in this tutorial, but you can read about it elsewhere." ] }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Predicting Home Prices: a Simple Linear Regression" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we'll use ``scikit-learn`` to perform a simple linear regression\n", "on the housing data. There are many possibilities of regressors to\n", "use. A particularly simple one is ``LinearRegression``: this is\n", "basically a wrapper around an ordinary least squares calculation.\n", "\n", "We'll set it up like this:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "from sklearn.linear_model import LinearRegression\n", "\n", "clf = LinearRegression()\n", "\n", "clf.fit(data.data, data.target)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 7, "text": [ "LinearRegression(copy_X=True, fit_intercept=True, normalize=False)" ] } ], "prompt_number": 7 }, { "cell_type": "code", "collapsed": false, "input": [ "predicted = clf.predict(data.data)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 8 }, { "cell_type": "code", "collapsed": false, "input": [ "plt.figure(figsize=(10,8))\n", "plt.scatter(data.target, predicted)\n", "plt.plot([0, 50], [0, 50], '--k', linewidth=3)\n", "plt.axis('tight')\n", "plt.xlabel('True price ($1000s)',fontsize=15)\n", "plt.ylabel('Predicted price ($1000s)', fontsize=15)\n", "plt.tick_params(axis='both', which='major', labelsize=15)\n", "plt.grid('on')\n", "plt.show()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAmUAAAHzCAYAAABhWGrkAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\ngJIyEREREQ/8f2jRDLgPmi2CAAAAAElFTkSuQmCC\n", "text": [ "" ] } ], "prompt_number": 9 }, { "cell_type": "code", "collapsed": false, "input": [ "# What is the correlation between the observations and the property price? \n", "\n", "# The coefficients (shows the correlation between the property price and property related information)\n", "print('Attribute information and Model coefficients:')\n", "for ii in range(0,len(clf.coef_)):\n", " print ('{0}: {1:.3f}'.format(data.feature_names[ii],clf.coef_[ii]))\n", "\n", "# The mean square error\n", "print(\"\\nResidual sum of squares: %.2f\" % np.mean((predicted - data.target) ** 2))\n", "print(\"Residual mean deviation: %.2f (K USD)\" % np.sqrt(np.mean((predicted - data.target) ** 2)))" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Attribute information and Model coefficients:\n", "CRIM: -0.107\n", "ZN: 0.046\n", "INDUS: 0.021\n", "CHAS: 2.689\n", "NOX: -17.796\n", "RM: 3.805\n", "AGE: 0.001\n", "DIS: -1.476\n", "RAD: 0.306\n", "TAX: -0.012\n", "PTRATIO: -0.953\n", "B: 0.009\n", "LSTAT: -0.525\n", "\n", "Residual sum of squares: 21.90\n", "Residual mean deviation: 4.68 (K USD)\n" ] } ], "prompt_number": 10 }, { "cell_type": "markdown", "metadata": {}, "source": [ "The prediction at least correlates with the true price, though there\n", "are clearly some biases. We could imagine evaluating the performance\n", "of the regressor by, say, computing the RMS residuals between the\n", "true and predicted price." ] }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Exercise: Decision Tree Regression" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "There are many other types of regressors available in scikit-learn:\n", "we'll try one more here.\n", "\n", "**Use the DecisionTreeRegressor class to fit the housing data**.\n", "\n", "You can copy and paste some of the above code, replacing `LinearRegression`\n", "with `DecisionTreeRegressor`." ] }, { "cell_type": "code", "collapsed": false, "input": [ "from sklearn.tree import DecisionTreeRegressor\n", "# Instantiate the model, fit the results, and scatter in vs. out\n", "\n", "clf = DecisionTreeRegressor()\n", "clf.fit(data.data, data.target)\n", "\n", "predicted = clf.predict(data.data)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 11 }, { "cell_type": "code", "collapsed": false, "input": [ "plt.figure(figsize=(10,8))\n", "plt.scatter(data.target, predicted)\n", "plt.plot([0, 50], [0, 50], '--k', linewidth=3)\n", "plt.axis('tight')\n", "plt.xlabel('True price ($1000s)',fontsize=15)\n", "plt.ylabel('Predicted price ($1000s)', fontsize=15)\n", "plt.tick_params(axis='both', which='major', labelsize=15)\n", "plt.grid('on')\n", "plt.show()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAmUAAAHzCAYAAABhWGrkAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nREREJAIqykREREQioKJMREREJAL/HxFtlcCffR1MAAAAAElFTkSuQmCC\n", "text": [ "" ] } ], "prompt_number": 12 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Do you see anything surprising in the results?\n", "\n", "The Decision Tree classifier is an example of an *instance-based* algorithm.\n", "Rather than try to determine a model that best fits the data, an instance-based\n", "algorithm in some way matches unknown data to the known catalog of training points.\n", "\n", "How does this fact explain the results you saw here?" ] }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "A Simple Example of Linear Regression" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# x from 0 to 10\n", "x = 30 * np.random.random(40)\n", "\n", "# y = a*x + b with noise\n", "y = 0.5 * x + 5.0 + np.random.normal(size=x.shape) * 3\n", "\n", "# create a linear regression classifier\n", "clf = LinearRegression()\n", "clf.fit(x[:, None], y)\n", "\n", "# predict y from the data\n", "x_new = np.linspace(20, 50, 10)\n", "y_new = clf.predict(x_new[:, None])\n", "\n", "# plot the results\n", "fig = plt.figure(figsize=(10,8))\n", "ax = fig.add_subplot(111);\n", "ax.scatter(x, y, label='model fitting data')\n", "ax.scatter(x_new, y_new, color='r', label='new observations & predictions')\n", "ax.set_xlabel('x',fontsize=15)\n", "ax.set_ylabel('y',fontsize=15)\n", "ax.legend(loc='upper left', fontsize=15)\n", "ax.tick_params(axis='both', which='major', labelsize=15)\n", "ax.axis('tight')\n", "ax.grid('on')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAmUAAAHzCAYAAABhWGrkAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAAAAAElFTkSuQmCC\n", "text": [ "" ] } ], "prompt_number": 13 } ], "metadata": {} } ] }