{ "metadata": { "name": "", "signature": "sha256:da602b65b030d3a5611d94e2e020ef49a8a6a5afe44b1604b2a224c8ee482b1e" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Dimensionality Reduction: Principal Component Analysis in-depth" ] }, { "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": [ "Here we'll explore **Principal Component Analysis**, which is an extremely useful linear dimensionality reduction technique.\n", "\n", "We'll start with our standard set of initial imports:" ] }, { "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": "heading", "level": 2, "metadata": {}, "source": [ "Introducing Principal Component Analysis" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Principal Component Analysis is a very powerful unsupervised method for *dimensionality reduction* in data. It's easiest to visualize by looking at a two-dimensional dataset:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "np.random.seed(1)\n", "X = np.dot(np.random.random(size=(2, 2)), np.random.normal(size=(2, 200))).T\n", "plt.plot(X[:, 0], X[:, 1], 'og')\n", "plt.axis('equal');" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 2 }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can see that there is a definite trend in the data. What PCA seeks to do is to find the **Principal Axes** in the data, and explain how important those axes are in describing the data distribution:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "from sklearn.decomposition import PCA\n", "pca = PCA(n_components=2)\n", "pca.fit(X)\n", "print(pca.explained_variance_)\n", "print(pca.components_)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "[ 0.75871884 0.01838551]\n", "[[ 0.94446029 0.32862557]\n", " [-0.32862557 0.94446029]]\n" ] } ], "prompt_number": 3 }, { "cell_type": "code", "collapsed": false, "input": [ "plt.plot(X[:, 0], X[:, 1], 'og', alpha=0.3)\n", "for length, vector in zip(pca.explained_variance_, pca.components_):\n", " v = vector * 3 * np.sqrt(length)\n", " plt.plot([0, v[0]], [0, v[1]], '-k', lw=3)\n", "plt.axis('equal');" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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0Uz1NfU1UFdTgcXiAm8+P4yF8+4I1ZBGrQ/3AsgdnZQ2yzH0KYJEM8tnP1vLNb/4JAK+9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\nAAAASUVORK5CYII=\n", "text": [ "" ] } ], "prompt_number": 4 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Notice that one direction is very important, while the other direction is not. This shows us that the second principal component could be **completely ignored** without much loss of information! Let's see what our data look like if we only keep 95% of the variance:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "clf = PCA(0.95)\n", "X_trans = clf.fit_transform(X)\n", "print(X.shape)\n", "print(X_trans.shape)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "(200, 2)\n", "(200, 1)\n" ] } ], "prompt_number": 5 }, { "cell_type": "markdown", "metadata": {}, "source": [ "By specifying that we want to throw away 5% of the variance, the data is now compressed by a factor of 50%! Let's see what the data look like after this compression:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "X_new = clf.inverse_transform(X_trans)\n", "plt.plot(X[:, 0], X[:, 1], 'og', alpha=0.2)\n", "plt.plot(X_new[:, 0], X_new[:, 1], 'og', alpha=0.8)\n", "plt.axis('equal');" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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+n5+IFc1/TsbNYE7PVC61VtfAoMHfUDT0nJML+hMjz5FwJrBMi51Nsfx2ger5SrkUwCIr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\nBswg6yPr+Y3u3+T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"text": [ "" ] } ], "prompt_number": 6 }, { "cell_type": "markdown", "metadata": {}, "source": [ "The light points are the original data, while the dark points are the projected version. We see that after truncating 5% of the variance of this dataset and then reprojecting it, the \"most important\" features of the data are maintained, and we've compressed the data by 50%!" ] }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Application of PCA to Digits" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This might seem a bit strange in two dimensions, but the projection and dimensionality reduction can be extremely useful when visualizing high-dimensional data. Let's take a quick look at the application of PCA to the digits data we looked at before:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "from sklearn.datasets import load_digits\n", "digits = load_digits()\n", "X = digits.data\n", "y = digits.target" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 7 }, { "cell_type": "code", "collapsed": false, "input": [ "pca = PCA(2) # project from 64 to 2 dimensions\n", "Xproj = pca.fit_transform(X)\n", "print(X.shape)\n", "print(Xproj.shape)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "(1797, 64)\n", "(1797, 2)\n" ] } ], "prompt_number": 8 }, { "cell_type": "code", "collapsed": false, "input": [ "plt.scatter(Xproj[:, 0], Xproj[:, 1], c=y, edgecolor='none', alpha=0.5,\n", " cmap=plt.cm.get_cmap('nipy_spectral', 10))\n", "plt.colorbar();" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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/PgDy8wsJBKazb98ekslktr502qCh4SjHjh2lvLwcl8tNTU0dc+bMo6EhSFFR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\nqgGgt7eXlpZmIBN0t2z5kO9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RS47xOHHH6yg40e0AthIm7vzdcO9Qx51+hJjrnzHUJjRR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\n7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X54MxKav6wIwapImIFy8DJf3Qc3boowPl7FdHR012WTlkBMTZAx0qiqg14tE5s6SXb1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qiSh9B5nJGbJeiBqME848hp+5BjWYQqvtjZ+O+j785Ab00kvoNQcyKlF2LbCUPYeuYOw7U1j1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\nx9l3uuPPa4Rn23YO+Augftzd/wP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"text": [ "" ] } ], "prompt_number": 9 }, { "cell_type": "markdown", "metadata": {}, "source": [ "This gives us an idea of the relationship between the digits. Essentially, we have found the optimal rotation in 64-dimensional space that allows us to see the layout of the digits, **without reference** to the labels." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "But how much information have we thrown away? We can figure this out by looking at the variance:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "pca = PCA().fit(X)\n", "plt.plot(np.cumsum(pca.explained_variance_ratio_))\n", "plt.xlabel('number of components')\n", "plt.ylabel('cumulative explained variance');" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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Azl06PcuViIiIHJt0Zr/HCXdo+2bmy8mORBDw6HN7KSsp5NQFU7JdjoiIyDHR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\nVePnNsJfZAh/R/vJo++Bu/8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"text": [ "" ] } ], "prompt_number": 10 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here we see that our two-dimensional projection loses a lot of information (as measured by the explained variance) and that we'd need about 20 components to retain 90% of the variance. Looking at this plot for a high-dimensional dataset can help you understand the level of redundancy present in multiple observations." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### PCA as data compression\n", "\n", "One thing PCA can be used for is a sort of data compression. Using a small ``n_components`` allows you to represent a high dimensional point as a sum of just a few principal vectors.\n", "\n", "Here's what a single digit looks like as you change the number of components:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig, axes = plt.subplots(8, 8, figsize=(8, 8))\n", "fig.subplots_adjust(hspace=0.1, wspace=0.1)\n", "\n", "for i, ax in enumerate(axes.flat):\n", " pca = PCA(i + 1).fit(X)\n", " im = pca.inverse_transform(pca.transform(X[20:21]))\n", "\n", " ax.imshow(im.reshape((8, 8)), cmap='binary')\n", " ax.text(0.95, 0.05, 'n = {0}'.format(i + 1), ha='right',\n", " transform=ax.transAxes, color='green')\n", " ax.set_xticks([])\n", " ax.set_yticks([])" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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md30buO24uUeWeZRkFd8q43vLmmZdPK9Ssswqyeblm6uWnVdtniCIZdC2TKkZ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0WCoeVKGhXqEqkkjL45TB8p0Gpum3VIanM7TN8AsqmRUJrEhsXWaPFzqgQhln82lFRbiJlZrCHD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"text": [ "" ] } ], "prompt_number": 11 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's take another look at this by using IPython's ``interact`` functionality to view the reconstruction of several images at once:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "from IPython.html.widgets import interact\n", "\n", "def plot_digits(n_components):\n", " plt.figure(figsize=(8, 8))\n", " nside = 10\n", " \n", " pca = PCA(n_components).fit(X)\n", " Xproj = pca.inverse_transform(pca.transform(X[:nside ** 2]))\n", " Xproj = np.reshape(Xproj, (nside, nside, 8, 8))\n", " total_var = pca.explained_variance_ratio_.sum()\n", " \n", " im = np.vstack([np.hstack([Xproj[i, j] for j in range(nside)])\n", " for i in range(nside)])\n", " plt.imshow(im)\n", " plt.grid(False)\n", " plt.title(\"n = {0}, variance = {1:.2f}\".format(n_components, total_var),\n", " size=18)\n", " plt.clim(0, 16)\n", " \n", "interact(plot_digits, n_components=[1, 64], nside=[1, 8]);" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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pWd284/E4klzA9wRdNvrg386jmpOIz+MdjUbY3NyMWMCp1KScZTSa9Pcm+LLe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"text": [ "" ] } ], "prompt_number": 12 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note that scikit-learn contains many other unsupervised dimensionality reduction routines: some you might wish to try are\n", "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", " extremely fast approximate 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" ] } ], "metadata": {} } ] }