{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# PCA Plotting Exmaples" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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YhJPXHuJLXBIc7Kzh09gdG+b+ABsNPRIFkdaknZCQgPv37yMxMVFlBDnDMJg4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\nREREHuL/A4ohsW0Pn1fKAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from yellowbrick.features.pca import PCADecomposition\n", "from sklearn import datasets\n", "iris = datasets.load_iris()\n", "X = iris.data\n", "y = iris.target\n", "\n", "params = {'scale': True, 'color': y}\n", "visualizer = PCADecomposition(**params)\n", "visualizer.fit(X)\n", "visualizer.transform(X)\n", "visualizer.show()" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/png": 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xWDQTSp7nUVtbi8HBQTG5W0vUWJiCIGBgYAAOhwNmsxnNzc1x0aCJyFW6SjQa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\ntGlyQUHY6J47d461a9fSsmVLZs2axYwZM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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from yellowbrick.features.pca import PCADecomposition\n", "from sklearn import datasets\n", "iris = datasets.load_iris()\n", "X = iris.data\n", "y = iris.target\n", "\n", "params = {'scale': True, 'color': y, 'proj_dim':3}\n", "visualizer = PCADecomposition(**params)\n", "visualizer.fit(X)\n", "visualizer.transform(X)\n", "visualizer.show()" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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SjB8/Hh07djRkCIQQQojJMmjSPnr0KOzt7bF8+XIkJyejZ8+elLQJIYSQAjJo0u7atSu6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\nqIhcmrQjIiJgMBgwZ84cAIC/vz+WLl3qyhCIXEoURZhzLAfLfY6IqCh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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from yellowbrick.features.pca import pca_decomposition\n", "from sklearn import datasets\n", "iris = datasets.load_iris()\n", "X = iris.data\n", "y = iris.target\n", "\n", "pca_decomposition(X, color=y, colormap='RdBu_r')" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": 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gpqYGfX19YnK3lqixMAkh6O3thd1uh9lsRmNjY1w0aCJyla4SiUTQ3t4+wAWc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\nQUFBQaEKKAFTQUFBQUGhCvwfvC9HXExUDWkAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from yellowbrick.features.pca import pca_decomposition\n", "from sklearn import datasets\n", "iris = datasets.load_iris()\n", "X = iris.data\n", "y = iris.target\n", "\n", "pca_decomposition(X, color=y, proj_dim=3, colormap='RdBu_r')" ] } ], "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": "3.5.3" } }, "nbformat": 4, "nbformat_minor": 2 }