{ "cells": [ { "cell_type": "markdown", "metadata": { "collapsed": true, "deletable": true, "editable": true }, "source": [ "## Transforming nonlinear data with Kernel PCA" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from matplotlib.colors import ListedColormap\n", "%matplotlib inline\n", "\n", "from ipywidgets import interact, FloatSlider, Dropdown\n", "\n", "from sklearn.svm import LinearSVC\n", "from sklearn.model_selection import train_test_split\n", "from sklearn.metrics.regression import mean_squared_error\n", "\n", "from sklearn.model_selection import train_test_split\n", "from sklearn.datasets import make_moons, make_circles, make_classification\n", "from sklearn.preprocessing import StandardScaler\n", "from sklearn.decomposition import KernelPCA" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "h = .02 # step size in the mesh\n", "\n", "X, y = make_classification(n_features=2, n_redundant=0, n_informative=2,\n", " random_state=1, n_clusters_per_class=1)\n", "rng = np.random.RandomState(2)\n", "X += 2 * rng.uniform(size=X.shape)\n", "linearly_separable = (X, y)\n", "\n", "datasets = {'moons': make_moons(n_samples=150, noise=0.075, random_state=0),\n", " 'circles': make_circles(n_samples=150, noise=0.1, factor=0.2, random_state=1),\n", " 'linear': linearly_separable} " ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "def kpca_transformed(dataset_name, kernel_name, gamma):\n", " kpca = KernelPCA(n_components=2, kernel=kernel_name, gamma=gamma)\n", "\n", " X, y = datasets[dataset_name]\n", " X_transformed = kpca.fit_transform(X)\n", " \n", " return X, X_transformed, y" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "h = .02 # step size in the mesh\n", "\n", "cm = plt.cm.RdBu\n", "cm_bright = ListedColormap(['#FF0000', '#0000FF'])\n", "\n", "# iterate over datasets\n", "def plot_svm_classification(X, y, C, title):\n", " svc = LinearSVC(C=C)\n", " \n", " # preprocess dataset, split into training and test part\n", " X_train, X_test, y_train, y_test = \\\n", " train_test_split(X, y, test_size=0.4, random_state=0, stratify=y)\n", "\n", " x_min, x_max = X[:, 0].min() - .5, X[:, 0].max() + .5\n", " y_min, y_max = X[:, 1].min() - .5, X[:, 1].max() + .5\n", " xx, yy = np.meshgrid(np.arange(x_min, x_max, h),\n", " np.arange(y_min, y_max, h))\n", "\n", " #ax = plt.subplot()\n", " svc.fit(X_train, y_train)\n", " score = svc.score(X_test, y_test)\n", "\n", " # Plot the decision boundary. For that, we will assign a color to each\n", " # point in the mesh [x_min, x_max]x[y_min, y_max].\n", " Z = svc.decision_function(np.c_[xx.ravel(), yy.ravel()])\n", "\n", " # Put the result into a color plot\n", " Z = Z.reshape(xx.shape)\n", " plt.contourf(xx, yy, Z, cmap=cm, alpha=.8)\n", "\n", " # Plot also the training points\n", " plt.scatter(X_train[:, 0], X_train[:, 1], c=y_train, cmap=cm_bright,\n", " edgecolors='k')\n", " # and testing points\n", " plt.scatter(X_test[:, 0], X_test[:, 1], c=y_test, cmap=cm_bright,\n", " edgecolors='k', alpha=0.6)\n", " plt.title(\n", " '{} \\n$C$: {}\\n Score \\n Train:{}% Test:{}%'\n", " .format(\n", " title,\n", " C,\n", " round(100 * svc.score(X_train, y_train), 2),\n", " round(100 * score, 2),\n", " fontsize=20))\n", " \n", "def plot_transformed(dataset_name, kernel_name, gamma, C):\n", " X, X_transformed, y = kpca_transformed(dataset_name, kernel_name, gamma)\n", " \n", " X = StandardScaler().fit_transform(X)\n", " figure = plt.figure(figsize=(18, 16))\n", " plt.subplot(221)\n", " plot_svm_classification(X, y, C, title='Original')\n", " \n", " plt.subplot(222)\n", " plot_svm_classification(X_transformed, y, C, title='KPCA with $\\gamma$={}'.format(gamma))\n", " plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Kernel PCA transform of moons" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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sKBWJTK5o8SoViRQRSTEKG9oAzWKQVKWQQVJRfMAAChkSaCow1MwGEoQMZwFf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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_transformed('moons', 'rbf', 15, 1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Kernel PCA transform of circles " ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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cfjGzkRs51obaao0PNE4NH1SUmtnrdazf4AMNM/ujmS0KH1TcF/mApzFtmdlhZjY7fBBy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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_transformed('circles', 'rbf', 2, 1)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "### Manipulating $\\gamma$ and $C$ parameters" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "1b2f112883d64f7faf3e597d89ee253b" } }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "interact(plot_transformed, \n", " dataset_name=Dropdown(options=['circles', 'moons']),\n", " kernel_name=Dropdown(options=['rbf', 'sigmoid']),\n", " gamma=FloatSlider(min=0.001, max=25, step=0.001, value=10),\n", " C=FloatSlider(min=0.001, max=10, step=0.001, value=1))" ] } ], "metadata": { "hide_input": false, "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": 2 }