{ "metadata": { "name": "" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "Unsupervised Learning: Dimensionality Reduction and Visualization" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Unsupervised learning is interested in situations in which X is available, but not y: data without labels.\n", "\n", "A typical use case is to find hiden structure in the data.\n", "\n", "Previously we worked on visualizing the iris data by plotting\n", "pairs of dimensions by trial and error, until we arrived at\n", "the best pair of dimensions for our dataset. Here we will\n", "use an unsupervised *dimensionality reduction* algorithm\n", "to accomplish this more automatically." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "By the end of this section you will\n", "\n", "- Know how to instantiate and train an unsupervised dimensionality reduction algorithm:\n", " Principal Component Analysis (PCA)\n", "- Know how to use PCA to visualize high-dimensional data" ] }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Dimensionality Reduction: PCA" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Dimensionality reduction is the task of deriving a set of new\n", "artificial features that is smaller than the original feature\n", "set while retaining most of the variance of the original data.\n", "Here we'll use a common but powerful dimensionality reduction\n", "technique called Principal Component Analysis (PCA).\n", "We'll perform PCA on the iris dataset that we saw before:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "from sklearn.datasets import load_iris\n", "iris = load_iris()\n", "X = iris.data\n", "y = iris.target" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 0 }, { "cell_type": "markdown", "metadata": {}, "source": [ "PCA is performed using linear combinations of the original features\n", "using a truncated Singular Value Decomposition of the matrix X so\n", "as to project the data onto a base of the top singular vectors.\n", "If the number of retained components is 2 or 3, PCA can be used\n", "to visualize the dataset." ] }, { "cell_type": "code", "collapsed": false, "input": [ "from sklearn.decomposition import PCA\n", "pca = PCA(n_components=2, whiten=True)\n", "pca.fit(X)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "pyout", "prompt_number": 3, "text": [ "PCA(copy=True, n_components=2, whiten=True)" ] } ], "prompt_number": 1 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Once fitted, the pca model exposes the singular vectors in the components_ attribute:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "pca.components_" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "pyout", "prompt_number": 4, "text": [ "array([[ 0.17650757, -0.04015901, 0.41812992, 0.17516725],\n", " [-1.33840478, -1.48757227, 0.35831476, 0.15229463]])" ] } ], "prompt_number": 2 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Other attributes are available as well:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "pca.explained_variance_ratio_" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "pyout", "prompt_number": 5, "text": [ "array([ 0.92461621, 0.05301557])" ] } ], "prompt_number": 3 }, { "cell_type": "code", "collapsed": false, "input": [ "pca.explained_variance_ratio_.sum()" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "pyout", "prompt_number": 6, "text": [ "0.97763177502480336" ] } ], "prompt_number": 4 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let us project the iris dataset along those first two dimensions:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "X_pca = pca.transform(X)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 5 }, { "cell_type": "markdown", "metadata": {}, "source": [ "PCA `normalizes` and `whitens` the data, which means that the data\n", "is now centered on both components with unit variance:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "import numpy as np\n", "np.round(X_pca.mean(axis=0), decimals=5)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "pyout", "prompt_number": 8, "text": [ "array([-0., 0.])" ] } ], "prompt_number": 6 }, { "cell_type": "code", "collapsed": false, "input": [ "np.round(X_pca.std(axis=0), decimals=5)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "pyout", "prompt_number": 9, "text": [ "array([ 1., 1.])" ] } ], "prompt_number": 7 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Furthermore, the samples components do no longer carry any linear correlation:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "np.corrcoef(X_pca.T)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "pyout", "prompt_number": 10, "text": [ "array([[ 1.00000000e+00, -1.02473585e-15],\n", " [ -1.02473585e-15, 1.00000000e+00]])" ] } ], "prompt_number": 8 }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can visualize the projection using pylab, but first\n", "let's make sure our ipython notebook is in pylab inline mode" ] }, { "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": 9 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we can visualize the results using the following utility function:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "import matplotlib.pyplot as plt\n", "from itertools import cycle\n", "\n", "def plot_PCA_2D(data, target, target_names):\n", " colors = cycle('rgbcmykw')\n", " target_ids = range(len(target_names))\n", " plt.figure()\n", " for i, c, label in zip(target_ids, colors, target_names):\n", " plt.scatter(data[target == i, 0], data[target == i, 1],\n", " c=c, label=label)\n", " plt.legend()" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 10 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now calling this function for our data, we see the plot:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "plot_PCA_2D(X_pca, iris.target, iris.target_names)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "display_data", "png": 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QkJBgV8fLywsqlQpnzpy5S4e/vz8SExNtxyRx8eJFBAQEFFr3v+nz/P3976ntceG+Pz1E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\nV9pnXhVzPfbP/W/NYvF4ush7770XgqQ1c+ONtwr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"text": [ "" ] } ], "prompt_number": 11 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note that this projection was determined *without* any information about the\n", "labels (represented by the colors): this is the sense in which the learning\n", "is **unsupervised**. Nevertheless, we see that the projection gives us insight\n", "into the distribution of the different flowers in parameter space: notably,\n", "*iris setosa* is much more distinct than the other two species." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note also that the default implementation of PCA computes the\n", "singular value decomposition (SVD) of the full\n", "data matrix, which is not scalable when both ``n_samples`` and\n", "``n_features`` are big (more that a few thousands).\n", "If you are interested in a number of components that is much\n", "smaller than both ``n_samples`` and ``n_features``, consider using\n", "`sklearn.decomposition.RandomizedPCA` instead." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Other dimensionality reduction techniques which are useful to know about:\n", "\n", "- [sklearn.decomposition.PCA](http://scikit-learn.org/0.13/modules/generated/sklearn.decomposition.PCA.html): \n", " Principal Component Analysis\n", "- [sklearn.decomposition.RandomizedPCA](http://scikit-learn.org/0.13/modules/generated/sklearn.decomposition.RandomizedPCA.html):\n", " fast non-exact PCA implementation based on a randomized algorithm\n", "- [sklearn.decomposition.SparsePCA](http://scikit-learn.org/0.13/modules/generated/sklearn.decomposition.SparsePCA.html):\n", " PCA variant including L1 penalty for sparsity\n", "- [sklearn.decomposition.FastICA](http://scikit-learn.org/0.13/modules/generated/sklearn.decomposition.FastICA.html):\n", " Independent Component Analysis\n", "- [sklearn.decomposition.NMF](http://scikit-learn.org/0.13/modules/generated/sklearn.decomposition.NMF.html):\n", " non-negative matrix factorization\n", "- [sklearn.manifold.LocallyLinearEmbedding](http://scikit-learn.org/0.13/modules/generated/sklearn.manifold.LocallyLinearEmbedding.html):\n", " nonlinear manifold learning technique based on local neighborhood geometry\n", "- [sklearn.manifold.IsoMap](http://scikit-learn.org/0.13/modules/generated/sklearn.manifold.Isomap.html):\n", " nonlinear manifold learning technique based on a sparse graph algorithm" ] }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Manifold Learning -- Skipped at EuroPython" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "One weakness of PCA is that it cannot detect non-linear features. A set\n", "of algorithms known as *Manifold Learning* have been developed to address\n", "this deficiency. A canonical dataset used in Manifold learning is the\n", "*S-curve*, which we briefly saw in an earlier section:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "from sklearn.datasets import make_s_curve\n", "X, y = make_s_curve(n_samples=1000)\n", "\n", "from mpl_toolkits.mplot3d import Axes3D\n", "ax = plt.axes(projection='3d')\n", "\n", "ax.scatter3D(X[:, 0], X[:, 1], X[:, 2], c=y)\n", "ax.view_init(10, -60)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "display_data", "png": 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poPjB5AZdQw3KoCZho4lNq18hZ3NfJHU7g/r4yduVR37RFgLyNDA1IogxxMScxNZtrzJw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\nqqqW8s03DZSWPsB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+wGxMx0+kOiqGH5b+wmVVlQzo1Yvc8gq25eVT644mOj4BydtEQVw8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UImY0swSKQg4I2IwG82M++mmzodsyJh86ZNfP7iC5j8PlpkclQGA9GJiWxobqYScMjlzJDLSddr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\nEARBEARBEARBEARBEARhf/4HoF2A25ITqMwAAAAASUVORK5CYII=\n", "text": [ "" ] } ], "prompt_number": 12 }, { "cell_type": "markdown", "metadata": {}, "source": [ "This is a 2-dimensional dataset embedded in three dimensions, but it is embedded\n", "in such a way that PCA cannot discover the underlying data orientation:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "X_pca = PCA(n_components=2).fit_transform(X)\n", "plt.scatter(X_pca[:, 0], X_pca[:, 1], c=y)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "pyout", "prompt_number": 15, "text": [ "" ] }, { "output_type": "display_data", "png": 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FnLkIHy3QlkQOd2j1fEcgRAVDkC2AbF80y1ZtoHz58nqHf11Qg7ElkMfj4cMP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\np9zWsIkcPHhQrP6hQtfhQrOeQmiMcGcXYa1o2xqXYDJLw+a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"text": [ "" ] } ], "prompt_number": 13 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Manifold learning algorithms, however, available in the ``sklearn.manifold``\n", "submodule, are able to recover the underlying 2-dimensional manifold:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "from sklearn.manifold import LocallyLinearEmbedding, Isomap\n", "lle = LocallyLinearEmbedding(n_neighbors=15, n_components=2, method='modified')\n", "X_lle = lle.fit_transform(X)\n", "plt.scatter(X_lle[:, 0], X_lle[:, 1], c=y)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "pyout", "prompt_number": 16, "text": [ "" ] }, { "output_type": "display_data", "png": 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RRJRV3B4vYq2icZSgvnithKhbpQJff/01CxYsYNu2bezYsYN8bickKyfVtIqB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\nE5eclTFLAAAAAElFTkSuQmCC\n", "text": [ "" ] } ], "prompt_number": 14 }, { "cell_type": "code", "collapsed": false, "input": [ "iso = Isomap(n_neighbors=15, n_components=2)\n", "X_iso = iso.fit_transform(X)\n", "plt.scatter(X_iso[:, 0], X_iso[:, 1], c=y)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "pyout", "prompt_number": 17, "text": [ "" ] }, { "output_type": "display_data", "png": 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NElxEep3cM3o0r7/++jkjb87F/v37CXU42OYV2X7xg1dEOB2FT3/n4uOPPybC46Ga30+k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\nSfY3+Xlugt+J1CT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P6v9uvsiP2IGcYZStfHaR3bNnD3HJxbDGFsUcKIIvEHvJ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"text": [ "" ] } ], "prompt_number": 15 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Exercise: Dimension reduction of digits" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Apply PCA LocallyLinearEmbedding, and Isomap to project the data to two dimensions.\n", "Which visualization technique separates the classes most cleanly?" ] }, { "cell_type": "code", "collapsed": false, "input": [ "from sklearn.datasets import load_digits\n", "digits = load_digits()\n", "# ..." ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 16 }, { "cell_type": "code", "collapsed": false, "input": [], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 17 }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Solution:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "%load solutions/08A_digits_projection.py" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 18 } ], "metadata": {} } ] }