{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [], "source": [ "#%load_ext watermark\n", "#%watermark -d -u -a 'Andreas Mueller, Kyle Kastner, Sebastian Raschka' -v -p numpy,scipy,matplotlib,scikit-learn" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": true }, "outputs": [], "source": [ "%matplotlib inline\n", "import matplotlib.pyplot as plt\n", "import numpy as np" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Manifold Learning\n", "\n", "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*:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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YACykqOgzvvrqXbp06QJAfHw8r7/+AXv3FqFpE4CxwDtANxSlhPj47QQCF1Fc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\nHQAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "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)" ] }, { "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", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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PIOGhZunX7yn58ssvJTs7W2KjQ2XFWER+RK6uQCwmZMd7iPyAbJqExISb5Pnnn5e8vDxf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\n/7T/7s8gdLqhAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from sklearn.decomposition import PCA\n", "X_pca = PCA(n_components=2).fit_transform(X)\n", "plt.scatter(X_pca[:, 0], X_pca[:, 1], c=y)" ] }, { "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", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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GWXngwXv/ln4+fvw4L7zwAo888girVq0CIC8vD2+4lx5fdeMeRnFn9jDiU+JZ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TAAAg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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from sklearn.manifold import Isomap\n", "\n", "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)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Manifold learning on the digits data" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can apply manifold learning techniques to much higher dimensional datasets, for example the digits data that we saw before:" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from sklearn.datasets import load_digits\n", "digits = load_digits()\n", "\n", "fig, axes = plt.subplots(2, 5, figsize=(10, 5),\n", " subplot_kw={'xticks':(), 'yticks': ()})\n", "for ax, img in zip(axes.ravel(), digits.images):\n", " ax.imshow(img, interpolation=\"none\", cmap=\"gray\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can visualize the dataset using a linear technique, such as PCA. We saw this already provides some intuition about the data:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/andy/checkout/scikit-learn/sklearn/utils/extmath.py:368: UserWarning: The number of power iterations is increased to 7 to achieve higher precision.\n", " warnings.warn(\"The number of power iterations is increased to \"\n" ] }, { "data": { "text/plain": [ "" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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ZEsIRyZAJghAS9Gzk1prQcx4EMFvM9klJT4MBzuuU+l47iLmrftGM1fk6FosZ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\ncOc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VKqq3aEnnX+dxetpUsrZsBkHg3JJFoNcjqNWIWi0t3h5PzX79vaaOGWAg3lqNhgaP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\n/9wDxMTEhHtpYeHE3nQ+HHM3/e++jf5/Hhfu5YSEcHqs+UPKlN0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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# build a PCA model\n", "pca = PCA(n_components=2)\n", "pca.fit(digits.data)\n", "# transform the digits data onto the first two principal components\n", "digits_pca = pca.transform(digits.data)\n", "colors = [\"#476A2A\", \"#7851B8\", \"#BD3430\", \"#4A2D4E\", \"#875525\",\n", " \"#A83683\", \"#4E655E\", \"#853541\", \"#3A3120\",\"#535D8E\"]\n", "plt.figure(figsize=(10, 10))\n", "plt.xlim(digits_pca[:, 0].min(), digits_pca[:, 0].max() + 1)\n", "plt.ylim(digits_pca[:, 1].min(), digits_pca[:, 1].max() + 1)\n", "for i in range(len(digits.data)):\n", " # actually plot the digits as text instead of using scatter\n", " plt.text(digits_pca[i, 0], digits_pca[i, 1], str(digits.target[i]),\n", " color = colors[digits.target[i]],\n", " fontdict={'weight': 'bold', 'size': 9})\n", "plt.xlabel(\"first principal component\")\n", "plt.ylabel(\"second principal component\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Using a more powerful, nonlinear techinque can provide much better visualizations, though.\n", "Here, we are using the TSNE manifold learning method:" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": true }, "outputs": [], "source": [ "from sklearn.manifold import TSNE\n", "tsne = TSNE(random_state=42)\n", "# use fit_transform instead of fit, as TSNE has no transform method:\n", "digits_tsne = tsne.fit_transform(digits.data)" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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f/jX8efeJ94leEsOmNZsJrhMEmIdeOj5H76HjxJGT+fYz3SrH8Q2LZi1m+d8r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nB/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\n6AGYPvt9JEwtMFlRmDbzXQCiIzv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UiFKwg4TEjf/uRkZCIUd3na9QfaqcnD5gRDjDx3R2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\nLCmy27o0G+H/3rENWVH432dzUKlVRHWKrDbBXSAQCAS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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(10, 10))\n", "plt.xlim(digits_tsne[:, 0].min(), digits_tsne[:, 0].max() + 1)\n", "plt.ylim(digits_tsne[:, 1].min(), digits_tsne[:, 1].max() + 1)\n", "for i in range(len(digits.data)):\n", " # actually plot the digits as text instead of using scatter\n", " plt.text(digits_tsne[i, 0], digits_tsne[i, 1], str(digits.target[i]),\n", " color = colors[digits.target[i]],\n", " fontdict={'weight': 'bold', 'size': 9})" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "TSNE has a somewhat longer runtime that other manifold learning algorithms, but the result is quite striking. Keep in mind that this algorithm is purely unsupervised, and does not know about the class labels. Still it is able to separate the classes very well (though the classes four, one and nine have been split into multiple groups)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Exercise\n", "* Compare the results of applying isomap to the digits dataset to the results of PCA and T-SNE. Which result do you think looks best?\n", "\n", "* Given how well TSNE separated the classes, one might be tempted to use this processing for classification. Try training a nearest neighbor classifier on digits data transformed with TSNE, and compare to the accuracy on using the dataset without any transformation." ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.5.1" } }, "nbformat": 4, "nbformat_minor": 0 }