{ "metadata": { "name": "", "signature": "sha256:4c8d4bee30b4b6f8dd123b2cbd07a4bfec2bb7f788e4736c58586149e1771472" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Supervised Learning In-Depth: Random Forests" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "- *Jake VanderPlas*\n", "- *ESAC statistics workshop, Oct 27-31 2014*\n", "- *Source available on [github](http://github.com/jakevdp/ESAC-stats-2014)*" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Previously we saw a powerful discriminative classifier, **Support Vector Machines**.\n", "Here we'll take a look at motivating another powerful algorithm. This one is a *non-parametric* algorithm called **Random Forests**." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Preliminaries\n", "\n", "Again, we'll start with some boilerplate imports and setup" ] }, { "cell_type": "code", "collapsed": false, "input": [ "%matplotlib inline\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from scipy import stats\n", "\n", "# use seaborn plotting defaults\n", "# If this causes an error, you can comment it out.\n", "import seaborn as sns\n", "sns.set()" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 1 }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Motivating Random Forests: Decision Trees" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Random forests are an example of an *ensemble learner* built on decision trees.\n", "For this reason we'll start by discussing decision trees themselves.\n", "\n", "Decision trees are extremely intuitive ways to classify or label objects: you simply ask a series of questions designed to zero-in on the classification:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "import fig_code\n", "fig_code.plot_example_decision_tree()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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oUP74449kf4n5448/yJMnDw0aNEhyLiAgADB+TAAPP/wwPj4+bNu2DYADBw5w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"text": [ "" ] } ], "prompt_number": 2 }, { "cell_type": "markdown", "metadata": {}, "source": [ "The binary splitting makes this extremely efficient.\n", "As always, though, the trick is to *ask the right questions*.\n", "This is where the algorithmic process comes in: in training a decision tree classifier, the algorithm looks at the features and decides which questions (or \"splits\") contain the most information.\n", "\n", "### Creating a Decision Tree\n", "\n", "Here's an example of a decision tree classifier in scikit-learn. We'll start by defining some two-dimensional labeled data:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "from sklearn.datasets import make_blobs\n", "\n", "X, y = make_blobs(n_samples=300, centers=4,\n", " random_state=0, cluster_std=1.0)\n", "plt.scatter(X[:, 0], X[:, 1], c=y, s=50, cmap='rainbow');" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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I9xVVKgC9e6ESAKX+xKjw0NMkTZvM2Du3c/a/tHMbRz74mI6vTivlxhaeRqPh1PYtpJ4J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\nwXfmLa637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"text": [ "" ] } ], "prompt_number": 3 }, { "cell_type": "markdown", "metadata": {}, "source": [ "We have some convenience functions in the repository that help " ] }, { "cell_type": "code", "collapsed": false, "input": [ "from fig_code import visualize_tree, plot_tree_interactive" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 4 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now using IPython's ``interact`` (available in IPython 2.0+, and requires a live kernel) we can view the decision tree splits:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "plot_tree_interactive(X, y);" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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i5ZQulf16tIhxnt2CgfgAsXNhJ+znE2pCTYJr4m0/3powvBxqyqY5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\n+8pE96LCtS3WcvMOoemy8y2NXgx3yyctXN8btAkyoVVI3tympLtnCJo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AoVCN/mrV3qqh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Nq0Xo51z3UXL6rIItEfaKGhkS1lq2ZMuXPnUn5Wlpvh7l0gi0SAedV90CAsFop806ZLwjlzpO9q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\neoXM59twhWKf8fHjK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TpQbN1KZ/fp86ldkY9G3R92RkaBqahIJl216o+Yt7cv5umJAo4D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\nubOSHh39H3p4uNaZTNWVK+66y5c/Fy1Y4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"text": [ "" ] } ], "prompt_number": 5 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Notice that at each increase in depth, every node is split in two **except** those nodes which contain only a single class.\n", "The result is a very fast **non-parametric** classification, and can be extremely useful in practice.\n", "\n", "**Question: Do you see any problems with this?**" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Decision Trees and over-fitting\n", "\n", "One issue with decision trees is that it is very easy to create trees which **over-fit** the data. That is, they are flexible enough that they can learn the structure of the noise in the data rather than the signal! For example, take a look at two trees built on two subsets of this dataset:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "from sklearn.tree import DecisionTreeClassifier\n", "clf = DecisionTreeClassifier()\n", "\n", "plt.figure()\n", "visualize_tree(clf, X[:200], y[:200], boundaries=False)\n", "plt.figure()\n", "visualize_tree(clf, X[100:], y[100:], boundaries=False);" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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Xrm0k8Cl88gmMjwZ3S1DvR/qrRfu97Q7OH8D9PSHZkOdRX5z2kHkY8iJ0HrvK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Jz8q69zbAkug6G3oGPHeo8oEQQB/IiILi3tt8FZzJGRJIfPHwAAp+u3Qp4ElpfRYcthOz46TXS4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\niE2dfngaT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Sf4XlM+AOO7Apgd0zIKHyR0d5Y9qWm2YMJGbD6u/ggfNQ2hm2vgqXK4+r5ehZ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\nO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"text": [ "" ] } ], "prompt_number": 6 }, { "cell_type": "markdown", "metadata": {}, "source": [ "The details of the classifications are completely different! That is an indication of **over-fitting**: when you predict the value for a new point, the result is more reflective of the noise in the model rather than the signal." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Ensembles of Estimators: Random Forests" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "One possible way to address over-fitting is to use an **Ensemble Method**: this is a meta-estimator which essentially averages the results of many individual estimators which over-fit the data. Somewhat surprisingly, the resulting estimates are much more robust and accurate than the individual estimates which make them up!\n", "\n", "One of the most common ensemble methods is the **Random Forest**, in which the ensemble is made up of many decision trees which are in some way perturbed.\n", "\n", "There are volumes of theory and precedent about how to randomize these trees, but as an example, let's imagine an ensemble of estimators fit on subsets of the data. We can get an idea of what these might look like as follows:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "def fit_randomized_tree(random_state):\n", " X, y = make_blobs(n_samples=300, centers=4,\n", " random_state=0, cluster_std=2.0)\n", " clf = DecisionTreeClassifier(max_depth=15)\n", " \n", " rng = np.random.RandomState(random_state)\n", " i = np.arange(len(y))\n", " rng.shuffle(i)\n", " visualize_tree(clf, X[i[:250]], y[i[:250]], boundaries=False,\n", " xlim=(X[:, 0].min(), X[:, 0].max()),\n", " ylim=(X[:, 1].min(), X[:, 1].max()))\n", " \n", "from IPython.html.widgets import interact\n", "interact(fit_randomized_tree, random_state=[0, 100]);" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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TnYGpguqjxqeXizGHju9Ko0qvacU1tpRDjdS8AEd3QdIAmQFru6BwKgzS6hka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\nhufcK0wmI/6zwdj4zw2fGR8b1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+OxMW5ij35frjzVsy1joTgcjUmjMVk6ZtJq9QypVG/p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\nRU5ErkJggg==\n", "text": [ "" ] } ], "prompt_number": 7 }, { "cell_type": "markdown", "metadata": {}, "source": [ "See how the details of the model change as a function of the sample, while the larger characteristics remain the same!\n", "The random forest classifier will do something similar to this, but use a combined version of all these trees to arrive at a final answer:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "from sklearn.ensemble import RandomForestClassifier\n", "clf = RandomForestClassifier(n_estimators=100, random_state=0)\n", "visualize_tree(clf, X, y, boundaries=False);" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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ODd6bLnbBhdL4E3OOzEVmsGc3C65k7XP89ue85FaHCmbjL7CM9ev4Pp0PRwTP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\nFyF0auX6Asmeeu1xJQoa7I/pPE4CcLw4JSA8wl1nprmfv73X1k0nbfc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PjvDV/CEQHulh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0lT4jt1Dcwew0ZGSrdtunIrJs63r307juNw93bFzTkLenVodO/ab86nc7i0dCaL4lZRrsjv3sNt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\nqtFMBwQRAwBYFApc/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GJr5TRrmzw1wXxg3+1Nt2+W9mUwyLy6OpOSwSRLl65My4VXRFi3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\nor93bz01Kuqlumq+/vr/kby9B3IzMhCyX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"text": [ "" ] } ], "prompt_number": 8 }, { "cell_type": "markdown", "metadata": {}, "source": [ "By averaging over 100 randomly perturbed models, we end up with an overall model which is a much better fit to our data!\n", "\n", "*(Note: above we randomized the model through sub-sampling... Random Forests use more sophisticated means of randomization, which you can read about in, e.g. the [scikit-learn documentation](http://scikit-learn.org/stable/modules/ensemble.html#forest)*)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Quick Example: Moving to Regression\n", "\n", "Random forests can also be made to work in the case of regression (that is, continuous rather than categorical variables). The estimator to use for this is ``sklearn.ensemble.RandomForestRegressor``.\n", "\n", "Let's quickly demonstrate how this can be used:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "from sklearn.ensemble import RandomForestRegressor\n", "\n", "x = 10 * np.random.rand(100)\n", "\n", "def model(x, sigma=0.3):\n", " fast_oscillation = np.sin(5 * x)\n", " slow_oscillation = np.sin(0.5 * x)\n", " noise = sigma * np.random.randn(len(x))\n", "\n", " return slow_oscillation + fast_oscillation + noise\n", "\n", "y = model(x)\n", "\n", "xfit = np.linspace(0, 10, 1000)\n", "yfit = RandomForestRegressor(100).fit(x[:, None], y).predict(xfit[:, None])\n", "ytrue = model(xfit, 0)\n", "\n", "plt.errorbar(x, y, 0.3, fmt='o')\n", "plt.plot(xfit, yfit, '-r');\n", "plt.plot(xfit, ytrue, '-k', alpha=0.5)\n", "plt.xlim(0, 10);" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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C//Gr5wBobWoianUxDFzx3J+5w2wnWNuEfqlUMyNlMiiAP5WisdGNYQEbppmY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"text": [ "" ] } ], "prompt_number": 9 }, { "cell_type": "markdown", "metadata": {}, "source": [ "As you can see, the non-parametric random forest model is flexible enough to fit the multi-period data, without us even specifying a multi-period model!" ] }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Exercise: Classifying Digits" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We previously saw the **hand-written digits** data. Let's use that here to test the efficacy of the SVM and Random Forest classifiers." ] }, { "cell_type": "code", "collapsed": false, "input": [ "from sklearn.datasets import load_digits\n", "digits = load_digits()\n", "digits.keys()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 10, "text": [ "dict_keys(['DESCR', 'data', 'images', 'target', 'target_names'])" ] } ], "prompt_number": 10 }, { "cell_type": "code", "collapsed": false, "input": [ "X = digits.data\n", "y = digits.target\n", "print(X.shape)\n", "print(y.shape)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "(1797, 64)\n", "(1797,)\n" ] } ], "prompt_number": 11 }, { "cell_type": "markdown", "metadata": {}, "source": [ "To remind us what we're looking at, we'll visualize the first few data points:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# set up the figure\n", "fig = plt.figure(figsize=(6, 6)) # figure size in inches\n", "fig.subplots_adjust(left=0, right=1, bottom=0, top=1, hspace=0.05, wspace=0.05)\n", "\n", "# plot the digits: each image is 8x8 pixels\n", "for i in range(64):\n", " ax = fig.add_subplot(8, 8, i + 1, xticks=[], yticks=[])\n", " ax.imshow(digits.images[i], cmap=plt.cm.binary)\n", " \n", " # label the image with the target value\n", " ax.text(0, 7, str(digits.target[i]))" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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zJ4HDhDTfZ00rlupkzFT1OFkQAp8e96WNQDQhynrn6vFxT25sbGB9fd0lx9ne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\n0FMjkb9Tj4+6gGurVqu5DEKeBEM9pen0+kq9pEblOGuRRh3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8gf39fbz//e9Ht9vFu9/9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\n3UTuG1q3FzQ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+nw/VeDinZsNVrMkM+PTmtfPxccAX00bz+Xzo4rC1tRUeQL1et0qlEtqw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k\nIAN5S8nA8A1kIAMZyEDeUjIwfAMZyEAGMpC3lAwM30AGMpCBDOQtJQPDN5CBDGQgA3lLyf8DEce5\n1rzpUTIAAAAASUVORK5CYII=\n", "text": [ "" ] } ], "prompt_number": 12 }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can quickly classify the digits using a decision tree as follows:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "from sklearn.cross_validation import train_test_split\n", "from sklearn import metrics\n", "\n", "Xtrain, Xtest, ytrain, ytest = train_test_split(X, y, random_state=0)\n", "clf = DecisionTreeClassifier(max_depth=5)\n", "clf.fit(Xtrain, ytrain)\n", "ypred = clf.predict(Xtest)\n", "\n", "plt.imshow(metrics.confusion_matrix(ypred, ytest),\n", " interpolation='nearest', cmap=plt.cm.binary)\n", "plt.grid(False)\n", "plt.colorbar()\n", "plt.xlabel(\"true label\")\n", "plt.ylabel(\"predicted label\");" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 13 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Exercise\n", "1. Perform this classification task with ``sklearn.svm.SVC``. How does the choice of kernel affect the results?\n", "2. Perform this classification task with ``sklearn.ensemble.RandomForestClassifier``. How does the ``max_depth``, ``max_features``, and ``n_estimators`` affect the results?\n", "3. Try a few sets of parameters for each model and check the F1 score (``sklearn.metrics.f1_score``) on your results. What's the best F1 score you can reach?" ] } ], "metadata": {} } ] }