{ "metadata": { "name": "", "signature": "sha256:b5f347fc4864509c3a3e44e0a5e9ebb80a20f3e5d1ec45fe322c9c6cac706393" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "This notebook was put together by [Jake Vanderplas](http://www.vanderplas.com) for PyData Seattle 2015. Source and license info is on [GitHub](https://github.com/jakevdp/sklearn_pydata2015/)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Supervised Learning In-Depth: Random Forests" ] }, { "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": "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", "import seaborn as sns; 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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vzRK74EJZ/Ik5RuYhM9izOwCuYeMLzDktP7nVEYLR+EusYvMmfkjnw1HB3Ox2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G136QIaq64JbTiGdACSkhKwXF3bkEg0Gqp9GAa4g+CX0aXkdIrzuvW/bo5CKN3LT8ES6dbV1ZQI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\n6K0LJpIO3CkZlbuuBgqKfNDABi29vgiAr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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[-200:], y[-200:], boundaries=False)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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e/q5C23DgU/jkExgXCx5WoN6L9FeL7nvbDVxWwX09IMWY51FfnHaQdRDyI/Ue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\nGRbWYIY5V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dwK4UkmZAYtWPjorGtC03zRhIzoHVX8N9Z6GsA2x9FS5Wva+Wo2ehERojaqSQ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\nN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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\n", "\n", "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=0):\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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DY3Xa7Ydx80sPuAA8DoGz4NH+sLwqfrzPikXTKMx3ZHiYAyEuyRy5kc6vu77m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7ddrQWB3bSXL4erjx37RtSnT7Yd80FbhpCGGo2fvwL27bmzPSjEZaaHp6TmR8i1K9klGIO+paF+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\nYII=\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", "Above we were considering random forests within the context of classification.\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", "plt.errorbar(x, y, 0.3, fmt='o');" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 9 }, { "cell_type": "code", "collapsed": false, "input": [ "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);" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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RzjkXomH19RZS1I6PX4KzpR7Xomacq5Zy5cb/ot2zD+22N9Du6hojzk1NLTyy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"text": [ "" ] } ], "prompt_number": 10 }, { "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": "markdown", "metadata": {}, "source": [ "## Example: Random Forest for Classifying Digits\n", "\n", "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": 11, "text": [ "dict_keys(['target', 'images', 'target_names', 'data', 'DESCR'])" ] } ], "prompt_number": 11 }, { "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": 12 }, { "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, interpolation='nearest')\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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Nm4dIJIKKigr4fD43a0uqUCiUMum560pKSrBy5UosWLAAPT09WL58Ofx+v9dl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\ntdmt5KOWipKOs5ao1ZJ5biTLTEj1ayl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V2PEREZFV2PEREZFV/h9jWehpiEhoewAAAABJ\nRU5ErkJggg==\n", "text": [ "" ] } ], "prompt_number": 13 }, { "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=11)\n", "clf.fit(Xtrain, ytrain)\n", "ypred = clf.predict(Xtest)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 14 }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can check the accuracy of this classifier:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "metrics.accuracy_score(ypred, ytest)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 15, "text": [ "0.82666666666666666" ] } ], "prompt_number": 15 }, { "cell_type": "markdown", "metadata": {}, "source": [ "and for good measure, plot the confusion matrix:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "plt.imshow(metrics.confusion_matrix(ypred, ytest),\n", " interpolation='nearest', cmap=plt.cm.binary)\n", "plt.grid(False)\n", "plt.colorbar()\n", "plt.xlabel(\"predicted label\")\n", "plt.ylabel(\"true label\");" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 16 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Exercise\n", "1. Repeat this classification task with ``sklearn.ensemble.RandomForestClassifier``. How does the ``max_depth``, ``max_features``, and ``n_estimators`` affect the results?\n", "2. Try this classification with ``sklearn.svm.SVC``, adjusting ``kernel``, ``C``, and ``gamma``. Which classifier performs optimally?\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": {} } ] }