{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Unsupervised Learning" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Introduction" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This \"walk-through\" lab will give some examples of the unsupervised learning methods covered in lectures. First we look into applying dimensionality reduction using PCA. Next we apply $k$-means clustering, as well as the EM algorithm discussed in lectures. We finish with some toy examples of some other clustering algorithms we did not cover but which you may find useful." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Acknowledgement" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "*This notebook contains several excerpts from the [Python Data Science Handbook](http://shop.oreilly.com/product/0636920034919.do) by Jake VanderPlas; the original content is available [on GitHub](https://github.com/jakevdp/PythonDataScienceHandbook).* \n", "\n", "*The text is released under the [CC-BY-NC-ND license](https://creativecommons.org/licenses/by-nc-nd/3.0/us/legalcode), and code is released under the [MIT license](https://opensource.org/licenses/MIT). If you find this content useful, please consider supporting the work by [buying the book](http://shop.oreilly.com/product/0636920034919.do)!*\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Overview" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The objective is to expose some of the methods and to show some visualizations, since this is a key aspect of dimensionality reduction and clustering. We will use the ``Seaborn`` visualization package which builds on and extends the capabilities of the standard ``Matplotlib`` package. *You will need to install these if you want to run this notebook locally.*" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "%matplotlib inline\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import seaborn as sns; sns.set()\n", "\n", "import pandas as pd\n", "# pandas.__version__\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Principal Component Analysis (PCA)\n", "\n", "Principal component analysis is an unsupervised method for dimensionality reduction that is designed to search for a set of linear combinations of the original features. If this set of new features is smaller than the set of original features, it forms a *sub-space* onto which the data can be projected, reducing the number of dimensions. PCA is easiest to visualize by looking at a two-dimensional dataset. Consider the following 200 points:" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(-2.7292712056271964,\n", " 2.5702744393352615,\n", " -0.9326181575178751,\n", " 1.004413830229183)" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "rng = np.random.RandomState(1)\n", "A=rng.rand(2, 2)\n", "B=rng.randn(2, 200)\n", "X = np.dot(A,B).T\n", "plt.scatter(X[:, 0], X[:, 1])\n", "plt.axis('equal')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Clearly there is a nearly linear relationship here between the two axes.\n", "We could apply linear regression to model the dependency of the y values on the x values, but the problem setting here is slightly different: rather than attempting to *predict* the y values from the x values, the unsupervised learning problem attempts to learn about the *relationship* between the x and y values. To do this, PCA zero-centres the data matrix, generates the covariance matrix, then applies a Singular Value Decomposition (SVD), as outlined in the lecture notes. However, here we simply call Scikit-Learn's ``PCA`` estimator to do this. PCA will return a list of the orthogonal *principal axes* (eigenvectors) in the data, ordered in terms of decreasing variance (decreasing eigenvalues)." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "PCA(n_components=2)" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from sklearn.decomposition import PCA\n", "pca = PCA(n_components=2)\n", "pca.fit(X)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The fit learns some quantities from the data, most importantly the \"components\" and \"explained variance\":" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[-0.94446029 -0.32862557]\n", " [-0.32862557 0.94446029]]\n" ] } ], "source": [ "print(pca.components_)" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[0.7625315 0.0184779]\n" ] } ], "source": [ "print(pca.explained_variance_)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To see what these numbers mean, let's visualize them as vectors over the input data, using the \"components\" to define the direction of the vector, and the \"explained variance\" to define the squared-length of the vector:" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0.7625315008826115 [-0.94446029 -0.32862557]\n", "0.018477895513562572 [-0.32862557 0.94446029]\n" ] }, { "data": { "text/plain": [ "(-2.7292712056271964,\n", " 2.5702744393352615,\n", " -0.9326181575178751,\n", " 1.004413830229183)" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def draw_vector(v0, v1, ax=None):\n", " ax = ax or plt.gca()\n", " arrowprops=dict(arrowstyle='->',\n", " linewidth=2,\n", " shrinkA=0, shrinkB=0)\n", " ax.annotate('', v1, v0, arrowprops=arrowprops)\n", "\n", "# plot data\n", "plt.scatter(X[:, 0], X[:, 1], alpha=0.2)\n", "for length, vector in zip(pca.explained_variance_, pca.components_):\n", " print(length,vector)\n", " v = vector * 3 * np.sqrt(length)\n", " draw_vector(pca.mean_, pca.mean_ - v)\n", "plt.axis('equal')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "These vectors represent the *principal axes* of the data, and the length of the vector is an indication of how \"important\" that axis is in describing the distribution of the data—more precisely, it is a measure of the variance of the data when projected onto that axis.\n", "The projection of each data point onto the principal axes are the \"principal components\" of the data.\n", "\n", "This transformation from data axes to principal axes is an *affine transformation*, which basically means it is composed of a translation, rotation, and uniform scaling, which is implemented by the SVD algorithm.\n", "\n", "While this algorithm to find principal components may seem like just a mathematical curiosity, it turns out to have very far-reaching applications in the world of machine learning and data exploration." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### PCA as dimensionality reduction\n", "\n", "Using PCA for dimensionality reduction involves *zeroing out* one or more of the smallest principal components, resulting in a lower-dimensional projection of the data that preserves the maximal data variance. (You can think of this as setting the eigenvalues below some threshold in the diagonal matrix to zero).\n", "\n", "Here is an example of using PCA as a dimensionality reduction transform:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "original shape: (200, 2)\n", "transformed shape: (200, 1)\n" ] } ], "source": [ "pca = PCA(n_components=1)\n", "pca.fit(X)\n", "X_pca = pca.transform(X)\n", "print(\"original shape: \", X.shape)\n", "print(\"transformed shape:\", X_pca.shape)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The transformed data has been reduced to a single dimension.\n", "To understand the effect of this dimensionality reduction, we can perform the inverse transform of this reduced data and plot it along with the original data:" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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whRCrTymQDiVyDCXzNEcCOK5PKuOQyblcdHYH0ZBFKuswnMgznBlAV355q4WJcwLOgWeLwV43xgK+hpo8HTsjhc7ImR+h/QN/jDUW1FfLytelJgFfCAGMr8rJOR6GrpHMOqzviLKhyyTveKQyDpFg8XVNEYuM62P1vEnrK88RcsZ2l2xag3P5J4sTp06uuChKgapiLO8D6BaeHmDUbOdo2/uJn//eRd9ArVFIwBeiDhYjJTHTe1ZzvcqqnHzBJWSbuJ5iKJEjHIyWJ2yHf/sy6w49jzV6As3LU1lho6PB6ElyL/wQrvpzsILg5PHR0XQD/MqN1nSKIV5D6Qb6hR/jROdV9AykAVjXEeG9EugXlAR8IZZYrStea31PoKrrVVblBG0Tx/MJmDqZXDH3rvW8xvq3/gkz1Vtc6DRhtF6srC+uhKWQLe5ls+1qCq/sLtfQK3Q0fDxMMEx0w8KJdpHd+gdsuPj3uBC4cCz/LxaeBHwhlthU+8qXHq81L135ntm8y2AiRzLjMJIs0NZkV3W9yqqc9qYgyXdeYV3frwll+zBfddA8B43ymHz6xigFvoef7Cd8zR30DmVoOf4r8PIo0+ZEx+X0b/gDHM9nY1eMfMEr35jE4pKALxrCcqjqKKkcSZeCczbvonxqblfpPbN5lxN9KSxLpylskkg7jKTznLW+CSrKKyvr6Uu62sK88x//SuD4C3TmTrFOFevkS2tiS/+vM3UmvmL9LuhGeS8b9/yPcercP8QbSw+NZhzSwzlCtoGp68vyoJDVSgK+WPUWI4VSSxtKN5zhRB7P87EDRjk4W4aO0lXN7SqNzgcTOSxLJ2AaOK5PLGzhuB69w1nOXHv6PSdV0xzbj7v379gytupVm/D+U/084/RrIIS1vXiASFdbuLwpWtg2iQR1NEw6moN1vfE2Ign4YtVbjBRKSSmQHxvMkBjNAsVRezbvEQyatMdsomGr3IZoqHhAx9FTyeIRgbaOhkbB81jfEcUwtJraVVpFm8w4NIVNHLd4Xuz6jihKKQ51j5J3vHELldapd0n++MeQGgBmPuC6FNwnBv6Jr9EAoh0EP3BzeXuDaMgiEjTJ5E1czydom5y5NoKu19bXuVhO3+yWAwn4YtWbbYuA2UwXNCq/OQT14nF8BcfDMHRCAZNc0iFgaBzsHqWrLVS+0bREbVgDb7w7TLwlSMgu7jMfDprlhUtzVV5FO5jh3Z4kPhq2oeM4PiHbYF1HBFPXcY8foOP4CwRSJyGfppo9bCopNDRNRymfis0OAA032EJ62yfZcPHvTfF7sHlNbNwGi7X2tdogvhy+2S03EvDFqjfXTcMqzRQ0Kr85DIzkCAdNMlkX1/VobwoWFyxlHXxfkcw4xUA/pjkSoKM5yMY1sRnbNTG4RcNWcRHUNMGuORYglXNI5xzQFEPJHBHXIhKy6Hz9x3DkRabYh7JqStNBKQqRNeQu+Dixc9/H8EixjLIUwDdM8Xvz+TOoNJcgvpjf7FYqCfhi1ZvrpmGVZgoa4ydfHSxDx1c+pc1KLFMjk/OIhkxSWWfsdS49A2lODqbxPMg7Hhs6ozRHA5PaNTG4jaYK7Hu7n6awiaHrmIbGwGiOC85sIxoqpo2aozbJtIPnKc7veYr16dfLa1vLKZcK1Qd7DWUGcZvPYGjDVejrt+H6PpW7wc8UwOfzZ1BpLkF8vt/sViMJ+GLVK6U7jpxMlI/VW9cRqep3ZwoalaPWkG0xnCuga3o5qjquIhgwiIYsMnmXkVSe430phkZzGIbGmrYQ2YLLsd4Ua7wI7TG7HAAPdY/yxtFhsjmXgKnhK8VIqkA65+C6QTavjeG4isFElt8eHaI1FuT1I0O0RgOEhn7Lxcf+AdM/fRLV+EBf3e41pRuEG11L9oKP43RdUN4euRTAcwUXpdSsAXyuG7dNZy5BfKG+Vawmjdtz0XB8pdi0NlYeYc71eL+SUtCoHLV2tATp7h3FNDUMQyeTc/GVT2dLGF3XuOjsOG8dHWE0lScStGhrDhIMGARtE9/3aY/ZdLWFOXIyweGeUQKWQe9QCtsy6R3O0xorHkASC1kMJ3OsaY8QDBi0J9+h683naPKGuVKBY0TQvRymmv7YwWpG9Uoz0Tu3cmrNB07vSul45aBeCuAFRdUBfLb9b6rJzc8liC/Ut4rVRAK+aAi15nNnChqVo1bPV2zsLCY4Tlfp2MTCgXLg6hvOksjaOI7HwEiGgGXQFAmU69PTOYfB0SxNkQADIzkKro/jOtiWgesrDFMn73hc5u/j/H0vYiinoqU6aBq2Ozrj53B6inbqUb4Cjtrn8famT3DuxlbirSFSGWfKoB4NWcTjsSlPy5qranPzcwniC/WtYjWRgC8aQq353NmCRmnUWs1WuRowksxjmTpByyCTd+kZTBMKmCRSBbae0YznQzio4ytFa9Tm2Kkk7c0h2hLv8MHUr2jxB6Ypn/TRNHPa4fvk8F78Kdl5Mb8I/BcMQ2M0XSCRyRO1A2y2NPpHs/hKLUlVS7U35LkGcdlVczwJ+KIhzCefuxBBI5V1ODmQJpNzcH1FNGiSyro4nk/E1jBNnb6RDIam47iKgGXgeRrRSID3Dv4TmwtvzlgDD4zbbx6mrplX6GgaKMMmu+WDHG77ffLvDtFiBwgGDEKBMJ6n6BlIs6FTZ11HZEmqWuZyQ5YgXjsJ+KIh1Cufm8o65bz8QCJPKGAynMpzqDtBczTIGR1hIhGb5ohFLl8M2B3H/ie/e+oF9OJmwXOgypuTTRXsC61nMXj5F8fd9FJHhzF0HU3TUAoClo5pKJIZr7xQaymqWmSCdWnIpylWnFpWT9Yjn1vKSw+OZrEtg1zOIQusa49g6DqGAS2xIOGgybr8u0QP/D1BZ2TO15mYrvF1GyMYhXwCAL15Df5Ff8QpfROHj40QC5nEwgGSWYfewQw+PnnHRdfAdRWu8jENjWBg8oEmi0UmWJeGBHyxosxn9WStqYBal+eX8tKeX0xZtDUHGU7kGEkXCNkmTaNvs/3A/yLszTzRWi2lGXiRThLnXEOi5ZzyZ5LKOrzbM4pt6Zy1voljvSkOvt3Phs4YF25p481jw+TyxQNPTg1lQNNY3x5C17Sagu5KuSE3Ign4YkVZ6tWT091gutrC41a8BiP2pN8t5aWDAYO+4eICrDMLL7Gl/0UC5GfPyVfJs6KMbL8J1m8rP2Y7XvkzGfeZWQbRsMWZ65oJBgw6WkJcoGu8enCA0XSBTWtiaEqRc3wKrj/nvWfqcUMW1ZOAL1aUpV49OdUNJpt3+c07A2xeGysHtbeODhM0GHcT0CjmoTf1/YrzjzyPOa6Mcv6cQDOBD/wpx/VNREPmuBtI5Wcy8TPL5V1CtkF2bM6grSnIhngUy8zQ1RoiaJu0NwXRdY1UxqGrtfo2yXYGy5sEfLGiLMbk3kwpiKluMMlMcX+cyqDm+z6/OTxUvgloPa+xbv8TmE6q5nZNx7FbyWz/JK3nXko0ZKEdHuTIyQSeD8GAQVtTEMPQyp/JxM8saJvFdQKB05+h4yk2rWliQ+fp9E0tm5vJdgbL27wC/tNPP83DDz+M4zh87nOf4zOf+cy45998802+9rWvkUqluPTSS/nGN76Baco9RtRuISf3UlmHN48M8fq7Q5iWztrWEO0tIdI9TjkFMdUNJpV1JgW1RKqA7yuaDz1H6J3n0JQ38XLzkjaayWz/Y9w1F5RPiCrl5zN5h2zBIxw0cD2fI6cStDeFuODMNmDyZxYNWQyO5uhoDpa3RdB1jdiEBVS13Eil2mZ5m2kL7Bn19vbyve99jx//+Mfs3r2bn/zkJxw8eHDca26//Xa+/vWv8+yzz6KU4sknn5x3g0VjK03umXpx1Gjq+pwWBqWyDoe6R3npzV7+5ZUTvHZ4kJBtELR0Tg1lONGXwleK3qEMUAyW+UKxRFEpRd7x0DWIhQPl97R6X2fN3m9xxf7/h/DbexYs2CvgWPh8nj37a/zn+bdhbNiObRnYAaPcvtKGaWeubcI0igE/ZJtEgua4xWGVn1ksFODyC9YQCwfKn+FFZ3cUJ2kr+pkveHS1hefU5qk+r1reRyyOmm+7e/fu5fLLL6elpQWAq6++mmeeeYYvfelLAHR3d5PL5bjooosAuOGGG/jrv/5rPv3pT8+70WJ1qra6Yz7VNqUJxZzjkck5JLMFomGLgGmgaRq5gkcy42DoevlaE6tHLjo7Tu9QBuuNnxM99IuFH81j84z+EbqtTaxpibAhYhEJnv4cpsrPa5rGGfHit5ypUjFTfWYTc/ORoDXvKhmptlneag74fX19xOPx8s+dnZ3s379/2ufj8Ti9vb21Xk6scot5WEXpRnKoexTL1Ohqi5AvuGhA2LZIpAvEW0KYhk4u75DKOqxrn7ybZnDgTVrGDg85s5BFzTXQT7E/cbGGXiOlRXnB/hDHjI3kXR9T1+mI2biuT99wlvecc3oj4soUyUKmUBaqSkaqbZavmgO+UpM37Zh4ms1Mz1ejvX1lLrqIx2Ozv2iVqrXvQ0eH6IrHCAYqqkkKLgVV+3smMwUOHh/mrWMjNIctAkGTWCjAaM4lFgtR8MAOBugfzhCwLZRSOK5PzvFxNY2hjENTJED2f/134ideKr/vXA4MGfcLFX/9HTPChhv/LyJbLyGZKfAvz75F78lRAkDI1oqHkEdtUtkCjq/IOB7NzcWbklbwOGdTK7FwgGDELlYIjVXG5B1v3PNLQf6+rxw1B/yuri5efvnl8s99fX10dnaOe35gYKD8c39//7jnqzE4mML35/zPq66q2URrtZpP37tPJYiGTLKZYlTM5l0GRnMMJ/MMD2cmpXdmS/9UrnI1NI1UJs/JgQyJkEmh4JPNuyig4HpEAgbJVJahRAFd19i2pY2Apki8+SL+fz6O7Wdq/1DU+P92gZeN9zG44SPc1HQ2mf4kqayDjiJoGSjUWHoJ8gWHppBFR3OIZCpPT2+SLeua2by2iVw6Ty5d3AK5PVJMxfRVfBaVzy8m+fu+vPqu69qMA+WaA/773/9+HnzwQYaGhgiFQjz33HN885vfLD+/fv16bNtm3759vOc97+Gpp57iyiuvrPVyYpWrTE1k8y6HukdJZQsoH471Jsad7FRN+qdylWs4qAMa0ZDFuycTdLUFsUyNWMSmuz+NHShuNbDJPcaW7qexTibQ5j6On5ICRrUo/5MrOaxtIGAZdLUG0fOna/J7hzJsXBNF12E0nSdomQyMZim4PvHmEOvjEUK2WT58ZGKKS1IoolrzGuHfdttt3HzzzTiOw4033sj27du59dZb+cpXvsK2bdu4//77+drXvkY6neb888/n5ptvXsi2i1WksnSwuy/FYCKHaeisbQ+j6zo9A2kSqTxrOiIMJ/I0Ra0ZF/dUrnJ1XIVlari+T3M0gKEbxf+OBFjfEaHrxL8Q/c2zqDlvVjY1HxjW2vk38/c45J+BoWs0x4K0+T6xcIBszmF90+mqlUzepTkSwF7fTE9/mv6RLAXHJxw0CQVMuvvTBAMGrTGbglqYNorGpKmpku3LhKR0Vpb59r2Upvm3/T2EgyYdLaHipmMFj56BFGgaV1y4ht8eHcEwNDZ0RgmNTU6WKlO2bWkHikcEJjMFBkdzdA+kCAetYkVO0GKTf5Stvc9jZfpRfnHytrpD/2bmonO49QOcWPtBmsIW3f1pcgWPQ92jtDfbNEcCOE5xjuCGq7Zy5tqmcltdf/zE62+PDNOfyLKxM4ZlajiuIp1z2NgZ48KxPi4H8vd9efV90VI6Qiy0UmrijaPD5PIO/cNZApZBwfGwDB2FQtOKC4RyBY/BRK5cijixMiUatvjfb5xiKJElkS6wLn+U31f/TgdD4xafzGc/G0+z8Ns2c6T1cgabz2FoOIuPIgy4nmJdR4S849ESCTCadhhN5wgFLT544Vp8X3Hg8CBh2yQatsp19aXFZI7nEwtZKBRKlY4hn1mtm7yJxiEBXywrqayDUj6ZnEs0ZOF5PqeG0jSFA2zoKlZEtDUFOdGfJJnxJx2gXQp6v3mnn4ve/R9soGfebZpYTemj07/hw5xc+2Fam2xUwSU9kMFxPUZSeUZNDdMw2La1jVjYYmNnDAXjgrvr++X5h96hTHkztlLt+pq2MJGQyVAyTzbvErRNNq+Jkc4W5zcmBvXFLGsVq4cEfLGs9A5l2NgVQ9c0snmXXMEjk3UYSRWKi6EUrItH6GwJk0iPP2sV4NQvn6Tj+C/4KExZDjmT6dI6SrdJhtfRt+4DJJrPQSlFe3OIS8aC6WuHB4mELDzXA61YYaR8RTLl8nvb1owLuIe6R6fcXCyVcdg6YeLV9f3yNxiAkVSeoWSepmhgUlCXTctENSTgi2Vl4gTmkVMJQkEL01OgwW+PDnGwJ8Ha9jCXnd9FV2uY9L/8N/xD/4FSPuXC3wnlkLUEfYXOwMYP416wE8/z6etNcepUgvbmMPGW02/YM5CmvTVM1K5c/ORSKKhJo+tqNxebas+g3qEMXa3hKYO6bFomqiEBXyyZamrnhxN5TvSnyht5NUdsomEL11OkMgXQNDSlCJg6ibf3EX79b8Gdot584nB9DqN9zbCwLrqG4HuuwxhrcyJVQNM0LjorTnM0MG50PSU19feFalfGTrVFQWtTiObo+MVUpaAum5aJasjfBrGgKoN6KbaWBtjpnEtLbHw6opS7HkrkGErmi2e7OpDLe5zoTwEKfWyPm67cu1yWep6INwq949+7KtO8UAu3Ebzyc1gbt096rrLGvSkamHJ0va4jwmC6AJ5frqjJ5F02dp5ehVn6XEr97GoNlW8c0+32Oam+vnt02qAuRwSKakjAF1WppgIkmSmUJw51DY72FkvWNq+J0TucJZt3iYUtNEsrLrDKufzmnf7iylGneMReMuvQ0Rwik3MxdY3RjMMf9f93otSwr/wMtZYKyIa6GNyyg02XXIE1y8RmKWWSzbsMJnLk8i52wCRoGZy3uQ1zKMPJ3gTprMI0NNqbQmweK7usnFDtaAliWTq9QxkKnqI9Zle9udhMQV02LRPVkIAvZlVtBUhPf6o8cdg/nMU0dBLpAvsPFbfYaI0GGUrkCAeLo85kpoCviqPlfMElZJu4nmI4kce2Da449QTt+aNVt3PK+D5hVO/rFj2dv0/4fdcDYFYcBTiTsG0ymi7QP5zFsnRCY4eIZHLFHPlFv9OJBVPeECdOqLZEbVCQSDtkSlsdL8C5r7LiVsxGAv4qsxi12NVWgKSyDgGzWOWeSBdIZAqYhoaGhmHoDCQyuH6IM8qvd4mO5eqDtonj+USH3mL94aeI+NUvaJm2Qn0s35MhxOHNf8RI0+8Qtk1MQ6e0zrXaic2utjAHD4xg6DoBU8dxFQpFV2uI3qEMZ25sm1RlUzJxQjWTc+kbyeD5sCEUkXNfxZKRgL+KLFYtdrUVINGQxbGhNKmsw7HeJLoOsYhNKGDQHLU51uuQzhamPGVpU9+viL77PIa/MOe+OprNf5q/y4Ho79EStVnXEmFwJEshZPE7G05vBF/txGY0ZNHaFCKfd8jkiscDru+IErKNWW8YEydUhxI5dE0nHC7uwS8llGKpSMBfRRarFrvaCpCmSIB3ukfwPEW24JJzPJJZh/M3taFrGu1NNkppuMcP0HH8BdakTqE8BzwXXc23fFAjG+rkjdYPMRjdimkW00Tr0DB0GE7kiTcHcVyFYWiTFmxVoz1m40ascZ9D3vFmvWFMzL0nMw6GodHeFCy/RkooxVKQgL+KzKcWe6ZUULUVIKcG01iGDqp4M7BMA1/59I/k2LIuwBnxGO2pg7T+djfK96BQ3E5gzgeJVFBoDLVt4z9ad9LZEuadEyO4g1lMU6M1ZgOKdR1RMjmPreubGBjJlY/6m+vEZq2VMBNz75GgRVPUKu8DBFJCKZaG/A1bRWqtxZ4tFVRtBcix3iQtsQAB06S9OUT/cAY0RXvyEOe9/q+Y6X5030NpOuhj/9M0NHd8wK9mE7NE9ExeXP9ZoiGTdM7h1KkkQ6N5FGAHdNA1+kaydLaEcFxFMGBQcH3amoLT5tpnM59KmMrce+nzzjuelFCKJSUBfxWpdQRaTSqouslCDZTG+rd+QsvgfrQJ2w2XC2aUB54HugkTdp6fqabeM4IcPev/YCByFgrFmqDFOydGsAydUEAn5/h4nk8oECRgGaQyDnnHJ++4dLaEFySoLsSkqZRQinqRgL+KVBtIJqZvBpN54s32uNfUklPe2BUl+4uHaR09MOm5KQO57+HrxSqe0rh+4uheGQFGNn6Q4KXXk8o4JAdS9PaliYQsEimHWNgiX/AxTYM1TUE8H1zXJ2xbbOw0yBV8WmIhYuHAsto9UqptRD1IwF9lZgskU6VvhhNZAoZGS+x00K8mFeQc24+zfw9+sh89FmfD+z7OyOjrU752qp0NFAqUD5qOrxnoYxU6nmGT3/ohcufuAIoTo27GoastTDrncEEkQDLj8M7x4r748eYQmgaGphNvtck6Ps1hi2TGoaPZ4vxNrcsm0AtRTxLwG8xU6ZuutjC9Q1lCQbPqVFBu326c3/wT+D4YJp7vk/nlo+j4M+bgFaBpBii/mMs3Avi6gRdbS/qsD/NGYT1ocPYZLeXfKX3bqGx7S9SmUPA4MZAik3PpbA1xcjDDoZ4EAVPDNmMYhkZT1JJtgoUYIwG/Dup5UMVUlTylk5hmql5JHnyFwqt70NKDYAWxUqdA00AvBm+yCZRe/GZRuYfOVBSgBWMktt1EpuPccZPMZs8oecfnRH+K3Ng+8NGQhanrHOoeRdMgZJu0jZU0GrpG3vWwLYOO5iAHkyOYhkXQNmhvCpbPgpUadyEk4C+5eh9UMV0lz8TqFefYfjL79+ANnYBCDuW7mLqJbzehp/tRykdT+tjfoGKI93IpMALgFaa9vkLDCXfS/Ps30Ro/j+EJk8y6rpPMFM+zDdkG2bxHz0CGNW0hLEtH0xSer+geSFFwFfGWEOmcQzbvEglZbFrThB0wxu0jP3E+Qk6GEo1KAv4Sq/dBFdVU8pTTNZ4zvoJG+Rj5EVClCVa/IievgedirPkdVLgF/9B/FEf+Y5QZIrvlg4xu/S+Yuk7H+mYsmDTJ3N4UpDkSIJV1yOaLK1qbQhaer1jTFuZEXwrLUvie4kRvCsvU2LQmxrqOCCHbxHG84jePCpXzEfW+4QpRTxLwl1i9D6qYrZLHOba/nJtXE7cjUz5KM9CUD+iAPxbUtfLkq7V9R3Gb4Q9/flxwne7mMnGS+cDhQZqjgXETyO8cH8H1fEK2yRmdUd49meDgiVEc16ej2SZX8Djel6KzNUQ4GEDT1LQ17vW+4QpRTxLwl9hyOKgiGrKwvaMUXvl7/NFTKCDV3IX9vk/i7N8Dvo+v6WiTVsAqFBqapoGiGPw1AzwXdJ3mKz6BP2FPeV3TOHqyuBHauo7IrCPpqT4f09DKo/Zs3uXoqSRoitaoTVtTkES6QNg2SaQcLjknDjDtDa3eN1wh6qnmKNPT08Ptt9/O4OAgZ555Jvfffz+RSGTSa3bu3MnGjRsB6Ojo4Ic//OH8WrzC1fugCufYfgov/j3+8Imx1ExxxasaPknul/9vMR1vmOB7TLnhsO+jdAPfCmKGmtD8PHosjrV9B+3vuYL+/mJwrxzdn72hudzP2Uz1+ZRG7SOpPL89NowzdkMIB00yeXdsctagJWaf3ip4mtH6crjhClEvNf8t/8Y3vsGnP/1pdu7cyfe//31+8IMfcPvtt497zYEDB7j22mu555575t3Q1aIeqyxL9fLe0AlwcsX0iyoF8rGUjK4VnzNMsCNo2dHiaL4i4PuagaYUXiSO9d4biZ11ybTXrDV1MtXnc8GZbQC88lY/ubxHNGQRCpqEx/bPT+ccPF/RGiseEj7TZGy9b7hC1FNNAd9xHF566SW+//3vA3DDDTfwJ3/yJ1MG/LfffpsbbriBaDTKXXfdxTnnnDP/Vq9wS7nK0jm2n/yvHytuY+AWisHeL420x0bwygfNLG55oNtougHBJlQuDX4B0FBmkEJsHaGLd9I8Q6AvmU/qZLrPp7XJ5my9hUzOYSSZJ513yeYcRtMOrVGbSMikywrPOBkr2xqIRlZTwB8eHiYajWKaxV+Px+P09vZOep1t21x//fV86lOf4oUXXuCLX/wiP//5zwkEApNeu1ystpI9Z/8e0E00y0b5Lmhjk63jJmNV8WfNwGg7A2v7juLvjfZRCLYxtOEq9PXbZvwsUlmHoaNDdJ9KELZNNFjw1EnYLi7wyuVdQkGLnv4khbGN0VqbipU9cV/Nuse8bGsgGtWs//r27NnDfffdN+6xzZs3T3qdpk3eLeXLX/5y+b+vuuoqvvOd73D48GHOPffcqhrX3r60X7OTmQJHBzJEY0Ha2wzyjsdg2qGjI0osXP1NKh6Pzf6iBTD4r39P8j+exi9k0QMhYpddS/vv//G41xxLD2IGo2iahmNaKM8DY2yitXLDA6XQgyE6rryByNZL4D1XVN2O0ucWDBhsWNtM3vFwVB6lKUJhu3iEoeOhFTzO2dQ6p8+yUjBi89bRYZqbQrx1dIj2lggBy+CCre0MjGSxDJ2Cr7GupTiXpJQikSks2Z/HUl1nuWnUfsPK6/usAX/Hjh3s2LFj3GOO43DZZZfheR6GYdDf309nZ+ek333ssce45ppraG0tnjCklCp/K6jG4GAK369ms9yFcah7FNf3Ua5BduyxvOPx+tt9VW+pG4/HyhOXiym3bzfOK7uL1Suage/kGP3XJ8mk8wTfc135dSrSjpceKY7w7SZIDwFqbKdKVUzvaBpay1oC7/skmaazyUzT/um+/ZQ+t5ZoE8MjaQA05eEUfFLk6Kt4fS6dJ5fO19zv9ohVPAC84LGmLURHcxAThVtwyXk+rufTHCqO7vOOh6nrS/LnsVR/7stNo/YblmffdV2bcaBc0/dry7K49NJL+fnPf861117LU089xZVXXjnpdS+99BK5XI5bb72VF198Ed/32bJlSy2XXBIrqWTPOfDs6a0NADDA93AOPDsu4Fvbd5D/9WMoB7RACOXFIJ+CQAijdf3puvlZzLRgabrPreD4Ne89P53KdIzrn04ZtTUFOXIqQcg2azrNSohGUHNC9e6772bXrl08/PDDrF27lu9+97sAPPHEE/T19fHVr36Vu+66i127drF7925s2+Y73/kOuq4vWOMX2mKW7C343ICTA82Y8KBefLxCMZh/tryrpdGypngTiJ/HyVJ7ukdnbc9MVTelz63SYpc6Tqy2KR4ZGCISNGUyVohpaEqppcuZzNFSp3SmWxk6l2X3U33NW4j3nSj56P8Jbr5ihE8xPWPaxD73gxl/d2J7RlMFeoeztMWKC5mmCv4HDg8SDZnj5mqUUqSyLmeubeJwzyhd8RiZdG5B+leN5TTBvhy/3i+FRu03LM++L0pKZ7VarJK9amrSJ+4tP1uqxdp2dTGH73uc3uZAYW27ek7tyeRc+kezGLpGzvFw/anLGWf69lP63AqKJR1dS7WNEHMjAX+CxQgis80NjKuVD0Tw0yPFn/nstEG/lKd3DjwLTg7fsBnZcCXumg/SlXVmDLaV7RlK5AiYBqahkc2705YzzrZgKRqyiMdjtIUlhSLEciUBfwlUjo6t3tcJHvwX9MwgTeF2HPPacbXyAFg2yinW0M80yg++5zrc8z82Lj3jVrH7Y2V7cgWPcLB4wHdwLOc+1US1LFgSYuWTgL8ESqNju+8NIm/+FF8z8IwQtpMcq6DJoUXaxv+SGcBP9s/63rVsYVA5WrctnUzOQylFV2sYmH7CVVIoQqxsy7dkZhUpjY5jR36JhwGmjR0w0QPBYhrH94rbHlRyC+ix+Kzvncm7BMzxf4wBUyeTn76UtNQeU9exbQvP94m3hggGiguk8gWPrrZwTX0VQixfMsJfYOlDr5D51U8nTb5GQxYUhiEUGb8q2QyM7U7popyxn90C+C7W9h3TXqek1lLS0mh9K6erXSRVI8TqJgF/ATnH9jP4vx/HV/qUk696LI6fHgHr9OEeuIXyAqi5VOmULMTuj5KqEaIxSMBfQM7+PWiGiaaNjY4nTL5WrnqdOJK3Nm6vKsBPJJOpQohqSQ5/AfnJfjTTHv9gxeSrtXE79hWfRY+0QCGNHmnBvmL60stqRUMWW9c3c+baJgDePZngUPcoqawzr/cVQqwuMsKvQrWLovRYHJVPgFYxup4w+VrrSH42cji3EGI2MsKfRWlRlJ8eGZeXd47tn/Raa/sO8FyUk0cphXLyVU++zldleWZpP3g7YNA7lFn0awshVgYJ+LOoXBSlaVpxcZRuFh+fwNq4nfY//IsFT9lUo5byTCFEY5GUziz8ZD8Exh/OPtOiqMjWS8g0nb0ELRtPDucWQsxGRviz0GPxmhdFLaWutjD5gkfeKa6alQVUQoiJVt3wb6G3zJ2plLIe7ZmOlGcKIWazqgL+YlSqTDxAZC6Lopa6ckYWUAkhZrKqAn7vUIamkbeIHfklRmYQL9xOcvMH6Q1eOK9AWGspZS0bmwkhxGJZVTl8v/sALW/+FD2XQFlh9FyCljd/it99oC7tkcoZIcRysqoCftvxF/A1o5hr17RiNY1m0Hb8hbq0px5nvQohxHRWVcAP5IbwNQtfKRTgK4WvWQRyQ3Vpj1TOCCGWk1UV8I3mTmzdQ9M0fF8VV5zqHkZzZ13aU7nvfCrrYuq6bHUghKibVZVbsLbvwP/1YwQ0DQJjJZTKW5KtDaYjlTNCiOViVY3wF2s3SiGEWA3mPcJ/4IEH0HWdL3/5y5OeKxQK3HXXXbz22msEg0Huv/9+tm7dOt9LzmixdqMUQoiVruYRfjKZ5M477+RHP/rRtK957LHHCIVC7NmzhzvvvJNdu3bVejkhhBDzVHPAf/7559m8eTO33HLLtK/55S9/ycc//nEA3vve9zI8PExPT0+tlxRCCDEPNad0rr/+egAefPDBaV/T19dHPH56k7F4PM6pU6dYt25dVddob6/+XNblJB6P1bsJdSN9bzyN2m9YeX2fNeDv2bOH++67b9xjW7Zs4dFHH63pgrpe/ZeKwcEUvq9quk69xOMx+vuT9W5GXUjfG6/vjdpvWJ5913VtxoHyrAF/x44d7NhRW1ljZ2cn/f39bNq0CYD+/n46O+tTEy+EEI1uUcsyr7rqKnbv3g3Ayy+/jG3bVadzhBBCLKwFD/hPPPEEDzzwAACf/exnKRQK7Ny5k3vvvZdvfetbC305IYQQVdKUUss2SS45/JVF+t54fW/UfsPy7PtsOfxVtdJWCCHE9CTgCyFEg5CAL4QQDUICvhBCNAgJ+EII0SAk4AshRIOQgC+EEA1CAr4QQjQICfhCCNEgJOALIUSDkIAvhBANQgK+EEI0CAn4QgjRICTgCyFEg5CAL4QQDUICvhBCNAgJ+EII0SAk4AshRIOQgC+EEA1CAr4QQjQICfhCCNEgJOALIUSDMOf7Bg888AC6rvPlL3950nM9PT3s3LmTjRs3AtDR0cEPf/jD+V5SCCFEDWoO+Mlkkvvuu49//ud/5i/+4i+mfM2BAwe49tprueeee2puoBBCiIVRc0rn+eefZ/Pmzdxyyy3TvubAgQO8/fbb3HDDDdx888289dZbtV5OCCHEPNUc8K+//nr+8i//EsMwpn2Nbdtcf/31/PSnP+XP//zP+eIXv0ihUKj1kkIIIeZBU0qpmV6wZ88e7rvvvnGPbdmyhUcffRSABx98EGDKHP5EH//4x/nWt77FueeeW2NzhRBC1GrWHP6OHTvYsWNHTW/+2GOPcc0119Da2gqAUgrTrH7aYHAwhe/PeD9aduLxGP39yXo3oy6k743X90btNyzPvuu6Rnt7dPrnF/PiL730Ev/wD/8AwIsvvojv+2zZsmUxLymEEGIa8y7LnOiJJ56gr6+Pr371q9x1113s2rWL3bt3Y9s23/nOd9B1Kf0XQoh6mDWHX0+S0llZpO+N1/dG7Tcsz77XNaUjhBBi+ZCAL4QQDUICvhBCNAgJ+EII0SAk4AshRIOQgC+EEA1CAr4QQjSIBV94tZB0Xat3E2qyUtu9EKTvjadR+w3Lr++ztWdZL7wSQgixcCSlI4QQDUICvhBCNAgJ+EII0SAk4AshRIOQgC+EEA1CAr4QQjQICfhCCNEgJOALIUSDkIAvhBANQgL+Iti3bx+f+MQnuO666/jTP/1Turu7692kJfXAAw/w4IMP1rsZS+Lpp5/mYx/7GB/96Ed5/PHH692cJZVKpbjmmms4ceJEvZuypB566CF27tzJzp07+da3vlXv5syJBPxFcPvtt3Pvvfeye/durr32Wv7rf/2v9W7Skkgmk9x555386Ec/qndTlkRvby/f+973+PGPf8zu3bv5yU9+wsGDB+vdrCXx6quvctNNN3HkyJF6N2VJ7d27l3/7t3/jZz/7GU899RSvv/46v/jFL+rdrKpJwF9ghUKBr371q5x77rkAnHPOOZw8ebLOrVoazz//PJs3b+aWW26pd1OWxN69e7n88stpaWkhHA5z9dVX88wzz9S7WUviySef5O6776azs7PeTVlS8XicXbt2EQgEsCyLrVu30tPTU+9mVW1Z75a5EgUCAa677joAfN/noYce4iMf+UidW7U0rr/+eoCGSef09fURj8fLP3d2drJ///46tmjp3HvvvfVuQl2cffbZ5f8+cuQIP//5z/m7v/u7OrZobiTgz8OePXu47777xj22ZcsWHn30UQqFArt27cJ1XT7/+c/XqYWLY6Z+N5KpNprVtOW1Xa5YHO+88w6f//znueOOO9i8eXO9m1M1CfjzsGPHDnbs2DHp8XQ6zRe+8AVaWlp4+OGHsSyrDq1bPNP1u9F0dXXx8ssvl3/u6+truBRHI9q3bx9f+cpXuPPOO9m5c2e9mzMnksNfBLfffjubNm3igQceIBAI1Ls5YpG8//3v59///d8ZGhoim83y3HPPceWVV9a7WWIRnTx5ki9+8Yvcf//9Ky7Yg4zwF9wbb7zB888/z1lnnVXOaXd2dvLII4/Ut2FiwXV1dXHbbbdx88034zgON954I9u3b693s8Qi+uEPf0g+n+ev/uqvyo996lOf4qabbqpjq6onJ14JIUSDkJSOEEI0CAn4QgjRICTgCyFEg5CAL4QQDUICvhBCNAgJ+EII0SAk4AshRIOQgC+EEA3i/wd9J3Me6rg/vAAAAABJRU5ErkJggg==", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "X_new = pca.inverse_transform(X_pca)\n", "plt.scatter(X[:, 0], X[:, 1], alpha=0.2)\n", "plt.scatter(X_new[:, 0], X_new[:, 1], alpha=0.8)\n", "plt.axis('equal');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The light points are the original data, while the dark points are the projected version.\n", "This makes clear what a PCA dimensionality reduction means: ***the information along the least important principal axis or axes is removed, leaving only the component(s) of the data with the highest variance***.\n", "The fraction of variance that is cut out (proportional to the spread of points about the line formed in this figure) is roughly a measure of how much \"information\" is discarded in this reduction of dimensionality.\n", "\n", "This reduced-dimension dataset is in some senses \"good enough\" to encode the most important relationships between the points: despite reducing the dimension of the data by 50%, the overall relationship between the data points are mostly preserved." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### PCA for visualization: Hand-written digits\n", "\n", "The usefulness of the dimensionality reduction may not be entirely apparent in only two dimensions, but becomes much more clear when looking at high-dimensional data.\n", "To see this, let's take a quick look at the application of PCA to the built-in digits dataset.\n", "\n", "We start by loading the data:" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(1797, 64)" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from sklearn.datasets import load_digits\n", "digits = load_digits()\n", "digits.data.shape" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Recall that the data consists of 8×8 pixel images, meaning that they are 64-dimensional.\n", "To gain some intuition into the relationships between these points, we can use PCA to project them to a more manageable number of dimensions, say two:" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(1797, 64)\n", "(1797, 2)\n" ] } ], "source": [ "pca = PCA(n_components=2) # project from 64 to 2 dimensions\n", "projected = pca.fit_transform(digits.data)\n", "print(digits.data.shape)\n", "print(projected.shape)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can now plot the first two principal components of each point to learn about the data:" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/var/folders/v_/w39dh2v54j58d9bgrt4jtjgc0000gn/T/ipykernel_81977/2006181461.py:9: MatplotlibDeprecationWarning: Auto-removal of grids by pcolor() and pcolormesh() is deprecated since 3.5 and will be removed two minor releases later; please call grid(False) first.\n", " plt.colorbar();\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import matplotlib.cm\n", "\n", "plt.scatter(projected[:, 0], projected[:, 1],\n", " c=digits.target, edgecolor='none', alpha=0.4,\n", " # cmap=plt.cm.get_cmap('spectral', 10))\n", " cmap=plt.cm.get_cmap('Spectral', 10))\n", "plt.xlabel('component 1')\n", "plt.ylabel('component 2')\n", "plt.colorbar();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Recall what these components mean: the full data is a 64-dimensional point cloud, and these points are the projection of each data point along the directions with the largest variance.\n", "Essentially, we have found the optimal stretch and rotation in 64-dimensional space that allows us to see the layout of the digits in two dimensions, and have done this in an unsupervised manner—that is, without reference to the labels. The set of examples for each digit has been colour-coded using the key on the right. This is the sense in which PCA can provide a low-dimensional representation of the data: it discovers a set of functions (linear combinations of the original features) that are more efficient at encoding the data than the native pixel features of the input data.\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Choosing the number of components\n", "\n", "A vital part of using PCA in practice is the ability to estimate how many components are needed to describe the data. This can be determined by looking at the cumulative *explained variance ratio*.\n", "\n", "On the cumulative *explained variance ratio* plot, we want to find the turning point where its cumulative *explained variance ratio* reach one threshold." ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'cumulative explained variance')" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pca = PCA().fit(digits.data)\n", "plt.plot(np.cumsum(pca.explained_variance_ratio_))\n", "plt.xlabel('number of components')\n", "plt.ylabel('cumulative explained variance')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This curve quantifies how much of the total, 64-dimensional variance is contained within the first $N$ components.\n", "For example, we see that with the digits the first 10 components contain approximately 75% of the variance, while you need around 50 components to describe close to 100% of the variance.\n", "\n", "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": [ " \n", "\n", "#### Exercise:\n", " \n", "1. Use the following code to generate a toy dataset: \n", " \n", " `\n", " from sklearn.decomposition import KernelPCA\n", " from sklearn.datasets import make_circles\n", " X, y = make_circles(n_samples=500, factor=.3, noise=0.1, random_state=12)\n", " `\n", " \n", " Plot the data, matching the colors to the different y values.\n", " \n", "2. Run PCA on the dataset, and plot the first two PCs of each data point. Comment on your results. Do you think PCA is doing a good job here?\n", " \n", "3. Look up the KernelPCA algorithm, and explain in a few sentences how it applies the idea of kernels to improve on the standard PCA algorithm. What kernel does the standard PCA algorithm use?\n", " \n", "4. Using the `sklearn` implementation, apply Kernel PCA to the dataset with `rbf` kernel. Do this for a setting of they hyperparameter `gamma`, using `gammas = [0.1,0.2, 0.5, 0.7, 1, 1.5, 2, 5, 10]`. Create a 3x3 plot, with each subplot showing the first two PCs for the rbf kernel with specific choice of gamma hyperparameter. Comment on your plot, which `gamma` value do you think is best, and why?\n", " \n", "5. Repeat the above exercise but now with the polynomial kernel, ranging from `degree = 4` to `degree = 12`. Comment on your results, how does this compare to the rbf kernel?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## PCA as Noise Filtering\n", "\n", "PCA can also be used as a filtering approach for noisy data.\n", "The idea is this: any components with variance much larger than the effect of the noise should be relatively unaffected by the noise.\n", "So if you reconstruct the data using just the largest subset of principal components, you should be preferentially keeping the signal and throwing out the noise.\n", "\n", "Let's see how this looks with the digits data.\n", "First we will plot several of the input noise-free data:" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def plot_digits(data):\n", " fig, axes = plt.subplots(4, 10, figsize=(10, 4),\n", " subplot_kw={'xticks':[], 'yticks':[]},\n", " gridspec_kw=dict(hspace=0.1, wspace=0.1))\n", " for i, ax in enumerate(axes.flat):\n", " ax.imshow(data[i].reshape(8, 8),\n", " cmap='binary', interpolation='nearest',\n", " clim=(0, 16))\n", "plot_digits(digits.data)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now lets add some random noise to create a noisy dataset, and re-plot it:" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "np.random.seed(42)\n", "noisy = np.random.normal(digits.data, 4)\n", "plot_digits(noisy)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It's clear by eye that the images are noisy, and contain spurious pixels.\n", "Let's train a PCA on the noisy data, requesting that the projection preserve 50% of the variance:" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "12" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "pca = PCA(0.50).fit(noisy)\n", "pca.n_components_" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here 50% of the variance amounts to 12 principal components.\n", "Now we compute these components, and then use the inverse of the transform to reconstruct the filtered digits:" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "components = pca.transform(noisy)\n", "filtered = pca.inverse_transform(components)\n", "plot_digits(filtered)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This signal preserving/noise filtering property makes PCA a very useful feature selection routine—for example, rather than training a classifier on very high-dimensional data, you might instead train the classifier on the lower-dimensional representation, which will automatically serve to filter out random noise in the inputs." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Example: Eigenfaces\n", "\n", "This example applies a PCA projection to facial image data \n", "using the Labeled Faces in the Wild dataset made available through Scikit-Learn:" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "['Ariel Sharon' 'Colin Powell' 'Donald Rumsfeld' 'George W Bush'\n", " 'Gerhard Schroeder' 'Hugo Chavez' 'Junichiro Koizumi' 'Tony Blair']\n", "(1348, 62, 47)\n" ] } ], "source": [ "from sklearn.datasets import fetch_lfw_people\n", "faces = fetch_lfw_people(min_faces_per_person=60)\n", "print(faces.target_names)\n", "print(faces.images.shape)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's take a look at the principal axes that span this dataset.\n", "Because this is a large dataset, we will use a ``Randomized`` version of PCA which contains a randomized method to approximate the first $N$ principal components much more quickly than the standard ``PCA`` estimator, and thus is very useful for high-dimensional data (here, a dimensionality of nearly 3,000).\n", "We will take a look at the first 150 components:" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [], "source": [ "# from sklearn.decomposition import RandomizedPCA\n", "# pca = RandomizedPCA(150)\n", "# pca.fit(faces.data)\n", "pca = PCA(n_components=150,svd_solver='randomized').fit(faces.data)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In this case, it can be interesting to visualize the images associated with the first several principal components (these components are technically known as \"eigenvectors,\"\n", "so these types of images are often called \"eigenfaces\").\n", "As you can see in this figure, they are as creepy as they sound:" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(3, 8, figsize=(9, 4),\n", " subplot_kw={'xticks':[], 'yticks':[]},\n", " gridspec_kw=dict(hspace=0.1, wspace=0.1))\n", "for i, ax in enumerate(axes.flat):\n", " ax.imshow(pca.components_[i].reshape(62, 47), cmap='bone')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The results are very interesting, and give us insight into how the images vary: for example, the first few eigenfaces (from the top left) seem to be associated with the angle of lighting on the face, and later principal vectors seem to be picking out certain features, such as eyes, noses, and lips.\n", "Let's take a look at the cumulative variance of these components to see how much of the data information the projection is preserving:" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "
" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(np.cumsum(pca.explained_variance_ratio_))\n", "plt.xlabel('number of components')\n", "plt.ylabel('cumulative explained variance');\n", "plt.figure()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We see that these 150 components account for just over 90% of the variance.\n", "That would lead us to believe that using these 150 components, we would recover most of the essential characteristics of the data.\n", "To make this more concrete, we can compare the input images with the images reconstructed from these 150 components:" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [], "source": [ "# Compute the components and projected faces\n", "# pca = RandomizedPCA(150).fit(faces.data)\n", "pca = PCA(n_components=150,svd_solver='randomized').fit(faces.data)\n", "components = pca.transform(faces.data)\n", "projected = pca.inverse_transform(components)" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot the results\n", "fig, ax = plt.subplots(2, 10, figsize=(10, 2.5),\n", " subplot_kw={'xticks':[], 'yticks':[]},\n", " gridspec_kw=dict(hspace=0.1, wspace=0.1))\n", "for i in range(10):\n", " ax[0, i].imshow(faces.data[i].reshape(62, 47), cmap='binary_r')\n", " ax[1, i].imshow(projected[i].reshape(62, 47), cmap='binary_r')\n", " \n", "ax[0, 0].set_ylabel('full-dim\\ninput')\n", "ax[1, 0].set_ylabel('150-dim\\nreconstruction');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The top row here shows the input images, while the bottom row shows the reconstruction of the images from just 150 of the ~3,000 initial features.\n", "This visualization makes clear why the PCA feature selection can be so successful: although it reduces the dimensionality of the data by nearly a factor of 20, the projected images contain enough information that we might, by eye, recognize the individuals in the image.\n", "What this means is that following this dimensionality reduction a classification algorithm can be trained on 150-dimensional data rather than 3,000-dimensional data, which, depending on the particular algorithm we choose, can lead to a much more efficient classification." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Principal Component Analysis Summary\n", "\n", "In this section we have discussed the use of principal component analysis for dimensionality reduction, for visualization of high-dimensional data, for noise filtering, and for feature selection within high-dimensional data.\n", "Because of the versatility and interpretability of PCA, it has been shown to be effective in a wide variety of contexts and disciplines.\n", "Given any high-dimensional dataset, I tend to start with PCA in order to visualize the relationship between points (as we did with the digits), to understand the main variance in the data (as we did with the eigenfaces), and to understand the intrinsic dimensionality (by plotting the explained variance ratio).\n", "Certainly PCA is not useful for every high-dimensional dataset, but it offers a straightforward and efficient path to gaining insight into high-dimensional data.\n", "\n", "PCA has two main weaknesses: first, it assumes that the principal components are linear combinations (which may not be appropriate if non-linear dimensions will be required) and second, it tends to be highly affected by outliers in the data.\n", "For these reasons, it may be necessary to use non-linear dimensionality reduction algorithms (such as *Isomap*, *LLE*, etc.) or robust PCA methods (such as *RandomizedPCA*, as used above)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## k-Means Clustering" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Clustering algorithms seek to learn, from the properties of the data, an optimal division or discrete labeling of groups of points.\n", "Many clustering algorithms are available in Scikit-Learn and elsewhere, but perhaps the simplest to understand is an algorithm known as *k-means clustering*, which is implemented in ``sklearn.cluster.KMeans``." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Introducing k-Means" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The *k*-means algorithm searches for a pre-determined number of clusters within an unlabeled multidimensional dataset.\n", "It accomplishes this using a simple conception of what the optimal clustering looks like:\n", "\n", "- The \"cluster center\" is the arithmetic mean (centroid) of all the points belonging to the cluster.\n", "- Each point is closer to its own cluster center than to other cluster centers.\n", "\n", "Those two assumptions are the basis of the *k*-means model.\n", "We will soon dive into exactly *how* the algorithm reaches this solution, but for now let's take a look at a simple dataset and see the *k*-means result.\n", "\n", "First, let's generate a two-dimensional dataset containing four distinct blobs.\n", "To emphasize that this is an unsupervised algorithm, we will leave the labels out of the visualization" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from sklearn.datasets import make_blobs\n", "X, y_true = make_blobs(n_samples=300, centers=4,\n", " cluster_std=0.60, random_state=0)\n", "plt.scatter(X[:, 0], X[:, 1], s=50);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "By eye, it is relatively easy to pick out the four clusters.\n", "The *k*-means algorithm does this automatically, and in Scikit-Learn uses the typical estimator API:" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "ename": "NameError", "evalue": "name 'X' is not defined", "output_type": "error", "traceback": [ "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", "\u001b[0;31mNameError\u001b[0m Traceback (most recent call last)", "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m\u001b[0m\n\u001b[1;32m 1\u001b[0m \u001b[0;32mfrom\u001b[0m \u001b[0msklearn\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mcluster\u001b[0m \u001b[0;32mimport\u001b[0m \u001b[0mKMeans\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 2\u001b[0m \u001b[0mkmeans\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mKMeans\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mn_clusters\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;36m4\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 3\u001b[0;31m \u001b[0mkmeans\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mfit\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mX\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 4\u001b[0m \u001b[0my_kmeans\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mkmeans\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mpredict\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mX\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 5\u001b[0m \u001b[0;31m# the following function combine the fit function and the predict function into one function\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", "\u001b[0;31mNameError\u001b[0m: name 'X' is not defined" ] } ], "source": [ "from sklearn.cluster import KMeans\n", "kmeans = KMeans(n_clusters=4)\n", "kmeans.fit(X)\n", "y_kmeans = kmeans.predict(X)\n", "# the following function combine the fit function and the predict function into one function\n", "y_kmeans1 = kmeans.fit_predict(X)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's visualize the results by plotting the data colored by these labels.\n", "We will also plot the cluster centers as determined by the *k*-means estimator:" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "data": { "image/png": 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EDpvFxFNXTWBMn8ihZr8s3cSjH/5abRdEKDylhRxY+TtCCEy2mLDn+VxlSClp0ndcJdE+GmwWE7ecOYxLxlb98N6bU8gtr35DdmFpyOJUqiLo0aYJH9w3DSklCzfs5uv56ygodTKwU0vOH9mblITw9wXw24qtPPXp7+i6ROAvLnXp2H7cfObQane7KSpz8c7Pi/lpySbcXh+92zXj5jOH0rNt6DICBgZ1RZWC/e6775KXl8cDDzwAwJ9//smnn37K22+/HdUEeXmlYRMwjobU1DhyckqqPhH4adkm3p65JGLyCMDUQd24eVL1fPJSSj75cxVfzFsTKPCv6ZKrTxvAWYO7R7R7+ba9PP7Zb2Gr+FXLDl1j/5Kf0X0eTLYYhIgcX+5zlaGYLDQbNDHIPRIJIQjEQjeKc3DlmP6MO6Vj1Nfrus4tb3zLzqzQ6e4Wk8o7t50XMoGoKtbtPsDfPv4l6GFgs5i4ZOQpXHBq76jHKnW6ufmNGeSVlFdySVnNJh6dNo7+HWu/0FR1fsePNxqq7ceT3YoiSE6ODXmsSpdIly5deOGFFygvL8dutzN79mx69uxZ40bWBn+u2xFRrIWAtk0aVdogjBYhBJeO7svZQ3qwPv0AihD0bNO0UhOAUOi65MUZc2tErAFcBVn4nKVY4pKAqpOBTLYYPCUFuAqysCc3i3zyEQzu3Jp7zh6Bw2qOuGrdlZXPT8s2kV1YSucWqahC4dslGyiI0LDArKrkFJUelWB/PGdFyJW7y+NvInzO0J5Rdc0B+HbxBvKPEGvwb0y//N08Pr5nmtGf0qDeqFKwhw8fzsaNGznnnHMwm8307NmT66+/vi5sO2aq+sNq16QRz1856Zj+AGNsFgZFaHB7JDsO5IXcgDuSg4kqVVG8ZzOKuXqJIyarleKMzdUSbCn9STmLNqezN7eItKRYRvZoh8Naee4v563hf3+uxOvT0aVk2baMiCGFB/FoGk2PMoFp2/7csMc0TSenqDTqsX9fvS1sHfISp5s9OYW0bpx0VHYaGBwrUSXOXH/99Q1GpA9nbO+OYaMOLCaVf149OUhwahuP1xeV31pVFTo3T2XLvhx8mo6qCIQQKEIEVudS6rgKszDHJEY1d0KMjZT4GNqmdWDZuo1IqUcM+TuSrKJSXvtxgT/T0GzizV8W8/jF4wONFHYcyON/f66stNqNRqxNqkLvNk0DCTTVxW4xh03913S9WpmQ4WrPgH8BUN1GDQYGNckJXa1vdM92NE6MDSr2bzWbuHxMvyCxzswv5oelG/lh6UYOFNSOPyvOYY3KHaLrkktGnsJHd0/jguG9aJ6cQKzNUulaqfn/P5o3BJOq0L1VE4Z0aU2TpHh6tW6KGtUavrJNB0MWXV4fLo+Pxz6ZFahH/ePSTREaAYfGZjbRunESD54/ulrXHc6Efp1DNkNQhKBLy8bV6tI+uHPoJCvwb44aq2uD+uSETk23VJQo/fCP5cxatRWnx0fz5HguH9OPUT3bB87Tdcm/v5/P7LXbA5+9NXMJ4/t05NbJw6LuUpNfUs5XC9Yyf+NuANqkJZGZX0JeSTnNkuM5Z0gP9ucVo4iqV566lCzaks5TX/6B16eFfE0XFV1ppJRVirYQglapiYHzVVXh/vPG8NJ38ys1KbCYVHQpUYXA7dMQAkyKgi5lyDcDieSP1ds5e2gPsgpLw2YqhqJFcgJ3Th1Oj9ZNjsktdf7wXizcnM6+vOJAHRKzScVuMXP3WSOqNdYFw3sze812yt3eSo8zq9nEVeMGRO0LNzCoDaqMEjlW6jNK5EjCCdv0+Wv5eM7KkIWPOjRN5olLTyc5zhFx7KzCEm5981vK3d6wr802s4m0pDjSs0M3DTgSk6JEfEUHyFo1G09pQcRwPlVVGNe7A6kJ/p3nvLxcWrZsza233sHmvdl8/tcatu3PJcFh46wh3RnSpRV/rt3Jih37iHdYiXFYmbFgXdgNzUn9u3D7mcP5aPYKps9fG/WGqklRuHBEby4b3feYN/I8Xh+/r97Gr6u24vFpDOnSmqsmDERzV39zd09OAS9/N58t+3JQhCDWZuHKcf0rFaqqTY6niIXq0lBtP57sjhQlclIJdiiklFz4j08i1utoFGvnrVvPjfhq/finv7F4y54qV5iqIjCp6lG31joSZ95+stfMDUSJHEmLlASGdWtTqUdkRsYebrzxVrp37xHVHMt37eOpT34PuVlqNatcMaY/5w7rSV5xGVf/e3qVYZSVrzdx04TBTKjh8rJw7L8rJU43bq+PRrGOOu0FejyJR3VpqLYfT3ZHEuyT/v3O69MoKXdHPKfY6eb7JRsBv/tkQ/oBFm5KD/i5NU1nydaqxRoONgOu+jwhoiu7aktKw2SPxecqC3k8r6S8UveZ/Pw8UlJS6dy5skAWljlZtDmdFdv3Bq2Qx5zSIXzLMQSnVcRjJ8fH8NRlpxNrs+CwmrGaVawmlZQ4R9h61m6vj3dnLeXPdTsocwU3eahP4uxWUuJj6rxxs4FBOE5oH3Y0mE0qVrMasv7HQXyazpx1O+jfoQVPfP475W4PQgi8mk6ftk2595yRUTdD0CWM7d2BJVv2hE1tB7+7oKLCSMTxhKKS2vNUDqz8HZ+rLMg14vL42Lo/l87NU8nPz0PTdK6//iZMJv8/vabrvPnLYn5ZsaXS5uydZw5nZIWf32o28fRlZ/DQR7+g6we7lpsQwKMXjav05tGzTVM+v/8Slm/fS0Gpk7ZpjejYLJlJj38Q9h5KXR5e/m4+uq5zw4TBTBrQNeI9GxicrJz0gi2E4Ix+nflh6aaIIVuapvPgh78EuQVW78zkha/n0iw5nr25VfcWtFlMjO7VnuQ4B5//tSasj/qqcQPYm1fEH6u3hexcfjiW2ESa9B1Hzrp5eEoKUExmVFsMQgh0XWfxus1QXkSrFs25/vqbaNr0UPz1x7NX8uvKrf6NzcPmefHbeaTEx9C9tb8SX5eWjfn03ouZu34ne3IKaNoontE92xNrDy4EZjapDOlyqOOMlBKb2RTRVXLwe31r5hKaJycEQgUNDAwOcdK7RMAvju2bhq8EZ1ZVkuMc+LRg4fRqGmt3Z3L24O5VRhAIAa1Tk+jVpik7DuSHFWtVEfy5fgdWs0rfDs0xm1QcVnNYtwL4RbvZoIk07j0SS3wjvGWFeEoL8JYVYo5NIq7rMP72t8cqibXH62PG4vUh/elur4///bmq0md2q5kz+nXm+jMGM2Vgt5BiHfq+/W6TI8MrQ+H2+vhs7qoqzzMwOBk56VfYUNGh/NozefvXxXy3eEOlkDtFCGLtFjRdD5sBpyoKsXYrl4w6hQ//WBHyHIDOzVN59ooJCCFo1igONUz9aU2XbN2Xy47MPFRF4ezB3WmVmsjL389HD1F18GD9EKGo2JObYU9uFlQPe0epEnCDHORAYWnY5gIQOYOwulw1bgBrdmWSXVha5abk7iijaAwMTjaMFXYFiiK4ccIQ/m/aOFqkJCDwJ5uc2r0tr994FikJoXdtwZ9GHu+wcfHIU+jZugkmVQQdbxTv4PkrJwWSdSb271plr0dNl3h8Gt8t2UhhmStkcgj4xTr1iGp2QigoJnMgkzGUuyfGasIVIU0+tgZ7JcbYLLx+41ncOmUYPVs3IVIUX2KMvcbmNTA4kTBW2EcwtGsbhnZt4299pSiBCIHJA7qybGtGyNWhyeRPrQZ48tLTefHbv1i8ZQ8WVcGr6bRrksw/b5yCWT+kUi1SErh54hD+8/MidCkj+s89Ph8rtu+NuP/YMiWRnKLQkSJAYI7D3TbzNuwOW7REETBlYLfwEx4FFrOJ0/p05LQ+Hbnv/Z9Yv+dAUMinzWzirCHB1Q4NDAwMwQ6L+YjVbO+2TRnTuwOz12wPiLZJVTApCo9cODbQJdxuNfPIhWMpLHWyL7+Y5DgHTZLiSE0OjvOc0L8Lp7Rvzq8rt7B29wG27M0O6XaR0r8pZzapEGJFbLOYmNivS8S+lKEWtF8vDJ8MI4Ez+tdeosj9547ijre/o8zlCXyfNrOJvh2aM/6UTrU2r4FBQ8YQ7CgRQnD7lGEM79aG75dsJLuwlMaJMYzv04lebYIL2yfG2kmMrfrVvklSHFeM7c/u7AJuf+s7CCHYqiLo0DSFK8b25++f/obXpwVivm1mE33aNmNYtzb0btuUNbsyQ87TvVVa0KZofknkcqcer4+YWiqOlZoQw/t3nM/sNdtZsjUDh9XM+FM60addM6N8qYFBGAzBrgZCCLq1TOO7JRvYm1fEgcISVu/KJG7mYh6dNo5OzY++KVWbxkm0TUti2/7coI1Ik6Jw9pAetEhJ4LUbz+KrBWtZn36ABIedMwd1Y0SPtiiK4PozBnHPuz8GuW0sJpWJA7qiaXrgTQAgJd7BgcLSkPYoQhBnr92mtzaLmYkDujLRiLs2MIiKkz41vbo8/NEvrN2dGVSVzm4x8/4d59MoTM2RaOwuKC3nwQ9/4UBBSUBcpYT7zx3J8G5to7Jv2/5c3vplMRv2ZCGRqMLvh1cVBZOqcN3pAwM1MX5cuom3f10SFNZnMalMGtCFGycMidr24xHD7rqnodp+PNl9TB1nDA6xL6+IdbsPhCwhquk6Py7bxOVj+h31+EmxDt68+RzWp2exPdNfjGlIl9bYreaox+jYLIV/XjOZlTv28tgns/D4dNAB/DHkr/+0EJvFzMge7ZjYvwvLtmWwdGtGwMViVlV6tG7C1acNBMDp9rJh9wG8Lh/Nk6tuLmxgYFB7GIJdDbbuy60IxQtOoPH4NNbtDu0/rg5CCHq2aULPNk2OaZwP/1jpF+sjcHs13pu1lBHd2/LLis2s2rkvqAZKlxapqIrgnV+X8MOSjZhMKj5NIy0xjgfOG0WHpinHZJuBgcHRYQh2NYizW6OKH5ZSsmFPFvM27EJKyZAurTktpW5Kcx5k2/6csMfyisvJzC/hjV8WV0pHB3/m5lcL1pFVWMr8jbtx+7RAavyenELufe8n3r7tXBpHiEs3MDCoHQzBrgZ92jULm+xiM5uYNKArPk3n75/+xrrdmbh9PqSEX1dt5fP5a3ji4vFYzXXzlZtNKlqYglYSWLZtT9hUd5+mMWfdjpB7D15NY8ai9dxwxuCaNNfAwCAKjEzHamBSFR6+YAxWs6lSuVGb2V/QqXfbpkyfv4a1u/bj8voCMc4uj4+N6Vm8/9uyOrN1ZI92IUuiCgGntGuGy6uFrI0C/oqCSpiUdZ+ms2Lb3hq11cDAIDoMwa4mfds3542bz2Zi/650aJrMwE4teWTaWO44czhCCL5dvCFkdT2PT2Pmii1oVXSQqSmuGtefxBh7pcYFJlUh1mbllslD6dIiNSg56CBWkxqxBrS9jhsXGxgY+DFcIkdB8+QEbp08NOSxovLwnWt8mo7L46tWF++jJSnWwZu3nMOMheuZXeHeGNatDecP60lyfAxNk+JomhRPRm5hpbR4RQhibBYk4AlRr9tmNjGxFrrDGBgYVI0h2DVMclwMucWha3pYzSbsluhD9I6VeIeNK8b154px/YOOCSH4x1UTefrL2Wzck4VZVfBpOq0aJ/HotHHszSsKyqq0mlXaN01mTK/2QeMZGBjUPoZg1zAXDO/Fe78tC0pGsZlNTB3c/bhqNxXvsPH8lRM5UFDC/vxiGifE0iLFH2vdODGWV64/k8/+Ws2mjGzsFjOTB3TljH6dw7pSDAwMahdDsGuYKQO7sSsrnz/WbA+sTBUhGN6zLZeOOqWerQtNk6Q4miTFBX3eJq0RD50/5pg71W/em8Mfa7bh8vgY2KklQ7u2qbLZg4GBQTCGYNcwiiK4c+qpnD+8F4s3+xvzDujUkgHdWx03qa+1RV5xGQs2pePx+ejdthntmyTzj6//ZOFm/2dSwvyNu/jg9+W8fN2ZJMTUbq0SA4MTDUOwa4nmyQmcO6xnfZtRZ3w8ZyVf/LUGIfy1t1VFIS0xlqyCkkpRM06PD29hKf/69i8ev2R8PVpsYNDwMATb4JhZuCmd6fPX4j0srtun6WTkFIbsueDTdVZs30txuatSx3UDA4PIGI5Eg2Pm879Wh2zkG6lGo0lVKSwLHwJpYGAQjCHYBsfMvvyial+j6Tqp8TFVn2hgYBDAcIk0YFweHz8s3cDPy7fg8vro1aYJF408hTaNk+rUjuS4GEqdnqjPt5hUxvbuUK2ysQYGBlGusGfPns0555zDGWecwVNPPVXbNhlEgdvr4653v+fj2SvZn19Mfkk5f63fxe1vfVcjZV6rw3nDemILUdTKpCq0Sk3EbFKxmk2YVQWrWaVXm6bcNHFIndpoYHAiUOUKOyMjg8cee4zp06eTnJzMFVdcwdy5cxk5cmRd2GcQhp+XbWZfXlGlCAxdStxeH//4Zi4f3XVhnfVGHNe7I2t27mfext2B8D27xURKfAwvXjMZTddZtHkPbq+P3m2b0q5Jcp3YZWBwolGlYP/2229MnDiRJk38BfVfeuklrFZrrRtmEJmfV2zG7Q1dba+4zEV6TmGduUYURXDfuaOYOjiHOWt34PR4GdCxJYM7twr0kDTqjxgYHDtVCnZ6ejpms5lrrrmGnJwcRo8ezZ133hn1BOF6kx0LqanBWXkNgZq02xuh6p+qKtgc5hqdL5qxUlPjGNanXY3NWRMYvyt1T0O1vSHYXaVga5rG8uXL+fjjj3E4HNx8883MmDGDc845J6oJTrQmvEdLTdvdp01TsgtKgjqsA2iaTqLFVmPzGd953dJQ7YaGa/vxZHekJrxVbjqmpKQwZMgQGjVqhM1mY+zYsaxdu7bGjTSoHhec2jtkESar2cT5w3thsxgBQAYGJxpVCvbo0aOZP38+xcXFaJrGvHnz6N69e13YZhCBZo3ieeGqSbRMScBiUrFbzNgtJqad2ptLjtMiUwYGBsdGlcuw3r17c+2113LxxRfj9XoZNmwY5557bl3YZlAFnZqn8u7t55OZX0y5x0vL5AQsddQz0sDAoO6J6q/7vPPO47zzzqttWwyOkqaN4uvbBAMDgzrAWI4ZnDDk7s1jy5JtWB1Weo7sBkS/619woIC9W/YT1yiW1j1a1VkMu4FBdTAE26DB4/P4ePOO91j200pUs4oAdF1y51vX03t8ZH++u9zNm7e/x8pZazBZTeg+ncTGCdz5/s207t4KAM2nMeeTv5j59u8U5xXTsmsLzrn7TLqf2jXi2AUHCnCWumjcKhXTCbAJXJRdxO8f/sm6vzYQlxTLmMtH0WdsT+PhVocIKWXNxdyFwAjr89NQ7Ybj3/YPHvyYuZ8vwHNEPROrw8KDX9xD54Edw177z8tfYd2fG/C6vZU+t8fb+dfCZ4lLjuXFy19h4/zNuA8b32K3cNmT0xh72aigMTM27eXNO95n7+a9qCYVoShMvWMSU26dEFbcpJRsWbKNjM37aN2xCW37d8B8HNVaSd+whyfOeh6f2xf4rqwOK6ec1ptb37weRfHHLxzvvyvhOJ7sjhTW1/Af+wYnNc5SJ39+Nh+vyxt0zF3u4duXfuSBz+4KeW3W7uyQYg3+VfsfH/1J+1PasnHBlkpiDeBxevj4/z5n6NmDsMfaA5/n7cvn71OewVniLx3rdfvLzs741/d43V7OvXdqpXGKcoqZ9f7vzHpvNm6nB6EIzGYTCLjnw9vpOrRz9b6QWkBKyb+vfQNnsbPS5+5yN6t+W8PSH1cw+MwB9WTdyYVRXtWgQZO1OweTOXxT4N3r94Q9tmPVLtQw13pdXtbP28jcz+fjLneHPEdVFdb8sa7SZz+/+WvYh8cPr/2Cq+zQWMt+Wcnt/e5lxks/UlZUjs/jw+vyUl7ipLzYyT8ueZnC7OqXrq1pMjbto+BAQchj7nI3s977o44tOnkxBNugQROfHIfPE7qmiv94+NIIMYkxRHK/xifH4Qoj1uD3k3uOEOdVv6/FF6bGi2pSSd/gf4AUZhfx+k1v+1fgYTyGuqYz+6M/wxtYR5Tkl6Co4R+KRbnFdWjNyY3hEjFo0DRqmkSbnq3YvnIn8oi9EpvDyunXjgt7bffhXRBK6DWL1WFl7OWjyNqdzaYFW0KusnVNp+uQyi4Liy2831nqOhabBYC5n80LsvdIvG4vC75ZTMtuLek7vjdqiMzWuqBF5+b4PMFvDQBCCNr3aRvyWN6+fH56Yyarfl+LxWZh9CWnMvqSEVgdRvG4o8VYYRs0eG5+/Tpik2Kx2C2Bz6wOK71GdWfktOFhrzOZTdz25g1Y7BYUVal07cBJfekxohvDzxuKI95e6Tj4Nx37TTiF1FYplT4fdcmISnYcji3WRuseLQHI3HEgpO/8SDJ3ZPHGbe9yR//7ydqdXeX5tUFCajwDJ/fHZA1e30kp2bZiB+Ullf3bGZv2cv/IR/j9v3PI2pVNxqa9fP701zw64SlcRmu4o8aIEqkjGqrd0DBsLysqZ+7n81n92xpscXZGXTSc0y4aRl5eWZXX7tuWyU//mcn2FTtISE1g/DVj6T/hlEBER97+fN647V22LtuOyWxC13RGXXwql/79wqBwPXe5m0cnPs2BXVmHfNkCLDYLd31wK71H9wDgx//M5KvnZwS5VMIhBCiqiubTiElwMObyUZx7z5lhHw41jcfl5f4Rj5CdnhN0zGQxMfqSU7nqucsCvyt/G/84u9akB51rtpmZesckzrn7zLowO2qOp9/xSFEihmDXEQ3Vbmi4tte03UU5xZTkl5DSIgVbTPjXeleZmx9f/4VZ7/1BeYkTq8PCkLMGccGDZxOf4s9KLc4r4Y7+9+Euj7612uGYrWZadWvB3398uEZdJR6nh8U/LGPflv2ktEhmyFkDiU2KRUrJVW1vCgqdPIjFbuGDXW/QuHE8W9ft4c6BD4Z9g0hpkcwrK16oMZtrguPpd/yYqvUZGJzMSCnZumw70/8xg9n/mwuSiGJ9kBW/rsLr8aJrOs4SF/O+XMi9pz4ScGvEJ8dx70d3YIuxYq0YTzWrEGUOitftZd/W/ayctfpoby2I3ev3cEufe/jvg//jh9d+4ZPHv+DWU+5l5azVaD4Njyv8w8Xr9qJVbLY6S12opvDSYrhEjh5j09HA4DC2LtvOT/+Zyb5tmTRulUJBViEHdmbjdrpRFIXvXv6RoecM5rp/XRk2CebnN2ayf1tlH7XX7cXn9fH2XR/wfzMeAKD7qV35z7qXWPLDcvL259OsfRM2zN/En5/OQ/OFb1BxEFeZmwVfL2bAxH7HfN8+r49nL3iRssJDLiSP02//K9e/yUtLnqNR0yTy94cO70tKSwy4hxq3Tg27mSuEoFOERCaDyBiCbXBSUlpQym//ncOSH5YjFMGp5w1B03S+fuE7/0pSwv5tlZsZ65qOR9NZ9O0S2vdtGzLLEeCPj+eGdAdIXbJt+Q5K8kuJa+R/5bXF2CptjLbs2oL50xeh+aJzlRwp7Hn78snPLCCtTWrA/RINq39fF9aFIXXJn5/O4+y7p/C/Rz8PcuNYHRbOvmdK4GeT2cRZd03m6398G+SjN9vMnHNPeP+1rumsmbOe9PV7iE+OY+CU/sQmxkR9Hyc6hmAbnHQUHCjgb+OfoKywPCBS6ev3hI2HPpKDSTDhBNtZGv6VXzUpOEucAcE+kuadmnHLq1fz6i3vVRlFYo2xMmSqP8MwP7OA1258ix2rd2GymPC5vfQZ15sbX7m6UiZmOLLTc8KG7h10v5x15/XkZuTx85uzAglHmlfjjOtOY8ylh5pylxWVk7UrG9/BBtECTGaV2MRYbnjlGtr1bhNynrx9+Txx1nOU5JfiLndjsZn56JHPuPGVqxk8dWCV93AyYAi2wUnHh3/7lOLcEnTtsNVpNffFCzJDuwYA2vZqzaaFW0Ie8zi9/PPyVxh9yamMuXRkyJjkCVePZf2ibfz+weywG/Ymi4mU5skMnNwfr9vLY5OepiCrEN2nB6JTVv22hucvepm///BQlfeT1iYVk8UcMgnJbDXTvFMzhBBc+PC5TLhhPOv/2ghS0mNkd+KTD1VFdDvdPDrxKXL25KIfXP1LEEJhzGUjAlEyRyKl5B8Xv0TevvzAv8vBlfybd7xP6x6taNq+SZX3caJjbDoa1CmaT8NV5qaWg5PC4vP4WPnr6spifRQkNTnUkT5zZxbLfl7B1mXbkVJy/gNnhw23k1Kyd/M+vnjmG/7vjCfDbsAt+3lFxOiqmAQHg87sj7PUxZIfllNWWHZIICvweXykr09nx6pdVd5P77E9wyb9CEUw+pIRgZ/jk+MYevYghp4zuJJYA8z5fCH5+wvweXyVPve6vfzw2kzKispDzrFrzW6y9+SG/HfRvD5mvvt7lfdwMmAItkGdUJhdxKs3vMlVbW7i2o63cHu/+/jriwV1bofH7UU/xoeFxWFh8i1nUFpYxlPn/IMHRz/Km7e/z3MXvsjt/e7DFmvjxn9fjSPBgT3OhlCCNyc9Tg9Z6Tn89J9fQ87hLovswy7KKebH137hrsEPsuSH5ZVqlByO5tXYsmRblfdkMpt46Mt7iEmMCUTBWOwWLHYLd7xzE4mNE6ocA2DOZ/PC114xq2yYvynksQM7s0J+T+D302ds3BvV/Cc6hkvEoNYpLy7nkfFPUJRTFNgky9uXzwcPfExJXgmTbj6jzmyxx9qwxdgoD7PSC4kAJCiqgmpSaNm5OYu/W8bnT3+Nq9SJrsmAG8JV5uaps5/n5aXP8+aGl1n12xpeuf5NND3Y1eB1eZnz6TzOvW8quq7j8XiwWCxkpefgcYavYXIQj8uLx+Vl08ItCEWETHVXzSr2WFtUt9m6eyteX/0iS39awd4t+0huXhGHXUObfpEiFlNapkCYB6miKoY7pAJDsA1qnT8+mktpQWlQRIPb6WH6P75l3JWja6y+RHFuMb++9wdLfliOxWpi0NSBNOvQhJ1r0rHHWBl05gBa92jFpgWbqxxLUQRt+7Rlym0T2LV6N16Pl/nTF7F3y76ICS8+r8acT+Yx5dYJtOzaApPZFIhRPhxd6mQV7efJR/7O5s2b8Lg82Bw2fNk6ZT4fDhmHIqp+CfZ6vJjMppCblJpPo9+E6JsyW+wWhp83JOrzj2TMxaeyYeHWkKtsn0+j+/DQTR869m9PfEo8rvKcoP0Ek9nE6deMPWqbTiQMwTaodRZ/tzRsCrZqUtm2fAc9RnQ75nly9+bxyPgncJY6A3Wo0zfsBSRS+lebX//zezoP6ohiUoJ8vodjtpm5+7+30nNEd2b/by5LflxOdnpOxGsO4nF62LR4C1NunUBKi+SQSSQu6SSDbXhK3ex4exMmzChCQagCl8+JjoYFKy1lR2wicpSHqip0HdbF32ThCKG02K1sXryVgZOOPVY7GkZPG8Znz84gKz2nkh/barcw5baJxCQ4Ql4nhOC+T+7kianP4XV5cJW5MVlMCCG4+O/n06p7yzqx/3jHEGyDWidcEkXgeA21mPrgwf9RWlhWaePq8M1NzauhobF12XYUNbxgdxrQgaufv4yW3Vrw8tWvs3bO+qAGBpEQiiCpcSJQEZN852S+fuG7wBgu6WQXfl+ujUMCJqVE+iQW/G8bHtzsYhNtZdeIou0qc5O+fg+jLhrOrA9mV3KNlBeV859b3sFkVuk7vk/U93C0WGwWHv/5b3z+9Nf89cUCPC4PKS2SOe++sxhx4bCI1zbv2JRXV7zA4u+XsX3lTpLSEjj1gmGktEiudbsbCoZgG9Q6w88bzN4t+0LWoZC6TscBHY55Do/Ly9o/10cV/eFxemjRpTk56TnIip/9FfsEd//3dnpU9GrctHALa//cUC2xBn8Y3JjLDsUlj71iFDkZecz9fD5CFewoXw8aAWEOhwUrHtxksI32skdE90j+/gJ+O0KsD7/fT/7+RZ0INoAj3sHVz1/GVc9diq7p1ap1YrFbGHHhsCrF/WTFEGyDWmfUxacy853fyd+fX6m4v8Vu4eLHLohYQzpaItW5CEVZQRmvrn6RRTOWkLU7m+admjHkrIHYYg5t0M3/ehHuKDb/Agj/q/9pV42h/Slt8Xl8fPzY58z9dB6q2V9pz97MjKPcBvuje6uwYMVFGWUUE0di2M1FIGIYYOaOLFb+toa+p/WO/n6OESFEvdXwPlExBNug1rHF2Hjq1//ji2e+Yf5XC3GXe2jeqRkXPHR2jdTBAH9cckJKPPkREloOp3GbVGITYzjtqjFhz/E4PVEn1NhibbTr04Zz7j6TbsO6APCf295l5cxVfv99hQ9//faNuCjHIqxRx6IrmMgjizgSadmlOQd2ZkVdlvVwXrz8FS58+FzOvG1ita81OD4w4rAbAEIWYtPfI167ljjtLszyL5DHlvhR18QmxXLNC5fzwa43+eTAe7ww76kaE2vwr+YueOicqOpDWx0Wptw6ocrzOvRtF/X87nI321fsZNdafw3onD25rPhlVSVhlVJSRjEmzNVKHDJjoYxihCLo0L89ylGuWqUu+er5GeTsyT2q6w3qH2OFfZyjyF0k6FcjcCPwv56b9WV4GUiJ8gKIhvfKWVObjEcy4sJhlBc7+fLZb/xJGFLiKnejmhR8Hg3VrKKoCmdcd1pU/tztK3dGPbfUJR6nhy+f/YZ+Z/Rh2/IdCLXyfer4H7KiIiJZUZWofO4HzzfHmLnggbNZ8v3ykOdZbBYkMmQT4INoms70576hcdvGxCXFMnjqQBJS/UWipJTs27ofj8tLi87Na8RVZVCzGIJ9nBOnP4ygBHHYu7nAiZmlWOXPuMWUCFeffJx+7VjiU2L59uUfKSsoo+OADvQc1Z2S3BJscTaGTB1IWpvGUY214tfV1Z5f0zT++mIBbXq0QmqVV9FKxQutRCIQxCfHIYSgrKgcoYiwGYISiSPOzlM//x/xKfHc9tYN/OvK1/B5fAHBV81qwE8eCalLFn2/DM2rYbaZ+fSJ6Vz1/KWktW7Mm7e/S3FeCYqiIKXkrLumMOXWCYEH7L5tmXz9wresnbMB1aQw6MwBnH33FJLSEqv9PRkcHYZgH8coMgOV9EpifRCBE5v8HDfhBdss5+LQ30ZlNzqJuMSFuMRFIE7cldN7933Egq8XB8SvILuIzYu3ctmT08JW1wvH0dQb0X06hVlF9LqtR9D1QghiZDxOyrBgxRZjY9i5gwFY8sNyMrcfQNMqC67Zaqbn6d3o3qc7LTo1B6DXqB48/dtj/PSfmWxdvp2S3BKcpS6cR/RVDMfBJJ6DK/H3H/gYgQhKvJnxr+9RVYVJN5/B7vV7ePzMZ/E4PYFNzzn/+4ulPyzn2dl/r1RbxaD2MHzYxzEKhUjCi6ugMOwxm/4RcfrDmNiMwIXKARzyLeL0Oxqc/ztatq/cyfyvFlVeqUr/5uFHj3wWtvBQOLoP7xp1B5jDadQ0iV/e/i2knzqZNHQ0TGYTLbr4Bbi0oIzMHcFiDX5x3bBwA3GupEr31bxjU65/6SquevZSPC5vULGl6uBz+0JmSbrLPXzz0g/4PD7ev/8j3GXuShEqmk+jrKiMr/7x3VHPbVA9DME+jtFogyBMUXkEPrqHPCZkEQ75BoLKleAELsysxcyiGrf1eOCvLxaErSGtqgorZq4CYPOSrTxz/j+5rvNt3DnwAX5+89eQgnfhQ+dgPYomt9+8+D3Tn5sRcoUeQzxWxYZwSFp09gt2zp7gxrYHcelOnLluZr++gDsGPMCBXVmVjs/7ckFYV8rhCEHY4kqRkJrOrnXpgc3UI9F8Oou/X1rtcQ2OjqgF+/nnn+fBBx+sTVsMjkCKONxMRIZMsLDiVK4KeZ1ZLkCG8XYJnFj1H2vQyiqQEpNcjUX/EZNcFbbAT01QXlQWNkZZ8+k4S10s+GYxz134L9b/tZGywjKy03P48rkZPH3eC/i8lUW7VfeW/O3r+2nbuw2qyb9hGZMYg/kYNuMUoTCo4wgGTOxHUbE/BFFRlZAbsZ6KTeaWdMRb7qUkv4QXL3+10jnhqvSBfxPytKvGcMt/ruOuD27FYqv+w0fTdExmU8SNYl+IOikGtUNUgr1o0SJmzJhR27ac0EgpMctFxGgPE6fdiVX/GmTVPscy5QHcjEZiQScm8F+p8iSaCF1IR+AjcgDx0XXqri6KzCBRP5t4/VZi5HPE6beTqE9FkaFXa8dKj5HdAw1tj0QogvantOW9+z4Kyrj0OD3sXreHZT+tDLqu/Slt6dC3nT/iQ0BZUdkxuR8Aeg/qxf0PPoTVYmPlgpXsz9iP5vOPKZF4cOOiDBMm2nIoLV3qkty9eezZkEHu3jw2LthMuz5tw96zRHL6tWMZdu4Q+p1xCqktk0OushWTEujHeCRN2qbRpmcrkpokhr2fbkO7VPMbMDhaqtx0LCws5KWXXuLGG29k8+aqK5wZhEBqyMJbiNUXIHAiALNcjl2+Q7HyIbpIC3+tMFOmPo1TZmFiLZIYvAyIuHHoFQMQMvSqR8eOR4RPFqkxpJcE/VoEeQhkwBUscZKgX0eB8lONb34OPWsQ05+bgdflreSOMFtNdOjbzh+NEWah6C53M+fTvxhyVuVWVHM/n89fX8zH5z4k0sfSfMEWY6PrkM5oRZL904vxOc1klWfiUpyBcWOIJ5k0YogPSkcXQvDGbe+yf/sBzFYTXo8PqetBGZAWm5leo3vQrENTAAoOFNJrdE+y9+Sgazo+j+YvrqQILnjwbP78dD45e3ICceOKScFiNXPjK9cghODSxy/k9ZvfCXrYWewWLnjonKP+PgyqR5WC/eijj3LXXXeRmZlZ1akGYbDK78G9AIVDK2qBEwUPMfqjlKhvVTmGLtLwcFpU8+miKW5Ow8oflfzYEhOSRnjEuOrfRDWxMBcoD4pwEUgkTixyNh5xes3Oabfw+E9/49Ub3mT3+j1YrGY8Lg99T+/DDS9fzfq/QhfPP0iokqk/vPpLxFKq1cUeZ6PfGX24e/BDlOWXYcFOG9EZqUt0dFShoqgCXQv9UHCVucjYvA9d0wP+ekVVMJlNSKljspjRfRqnXjiMy5+8CID5Xy3inXv+i9QlPo8Pk8WEyWJizKUjmHLbRJKbNWLs5aP57YPZ/PnpPDwuD71G9+DM2yYGQiAHTOzHTa/qfPzo55Tkl4KUpLVpzNUvXE7bXq1r7PsxiIyQEZYL06dPZ/v27Tz00EN88803LF26lOeee64u7Tsh0HMngS9c1w8LIvVPhJpSo3NK6UOW/BucHwMSpAbWUYiEJxBKoxqdKxR6yYtQFuFB5LgGJf6BWps/Kz2HvMwCmrVPIzHV3y2lILuIS9rcFDKxxGq3cOmj5zPtgbMqfT459pIaE2yhCO559yYSU+N5+uKXcZYEtwez2MycftVoZv33z2oVnbLH2rj531fRZWBH0lqnBBrvHtidzTXd7wpZeCs+JY4v9r2NyRx9dK+UkpyMXFSzieSmRihfXRPxX+rnn38mJyeHqVOnUlRURHl5Oc888wwPP/xw1BPk5ZVGLEpTXVJT48jJKamx8eqCJC0n7GaBjpnivAw0UTMF/CtzPYirUMhFF/Hgi4E8gOp9f0fzndv0eBxYA9mZhyOxUO5MxOWuvX9HxWGj2+BO5OSUHLJdKIy6aDhzP19QScCEIrA4LAw6e1DQfSY2TiRrd3aN2CR1yY9v/87Ayf3C+sE9Li/FeaVc/cLlvHvvhyiKgtftrTIm3FnqYt3CrfSbPIBSp49Sp/8+pr/8c9hkGq/Ly+9fLKLf6X2qdR/CbkOHkL8TDfHvE44vuxVFkJwcG/JYRMH+4IMPAv9/cIVdHbE28OOjAxZCpxMLfGg0q73JhRmdprU3fhjc4nQc8pUwRwXuGnaHRMsVT1+CI97BzHd/RyDweX20P6UtN75yDbFJwX8kk285g48f+xxPFats1axy+jVjKSsqZ+7n88Pu+Wbtzia1ZQqq2RRosnA4ZquJll2acer5Q+k7vg/Lfl7BV89/W2VRK9WkEpsU3MrrwM4DIbvdgD+6I3dvHq4yN4u+XcLWpdtJTEtgxLThNG0XYV/FoN4wMh3rAKdyLRZ9PRwRFy2x4uJMEKG7cNQnqtyKRf8d8CHd40B2JeyOXQikSKJUPEqsfBLwIfAhUQETpeJvSFE/RekVVeHCh8/l7LvPJCcjl9gEBwkRGsyOvnQEW5dtZ8kPy/G6PGGjErUK8bvgwbOZP31R2FVt41ap9B7bE7PVjKs02CUihGDitf49hpgEB6MuOpV37/mwyvsSqmDYucGtvVp1a8mq39aGjE9Xzaq/yW7/+/C4vLjL3agmlZ/fmsV5901lyq1GVb/jjYg+7JrAcIn4SXb8hCx5ukK0JAINDyMoVZ6KKlrCJJdi1z9GZS8abXAql+MT0ffqixqpE6M/hpXZ+MP/dIRw4JUdKVZehyraVR2JItOx6dNR2Y5GO1zKBeiiTc3bHYKa/F1J37CHH177hSU/LA+5YjVbzXQb1pmNC7ag+bSQLgyrw8Ktb95Iv9P7sGttOs+c9wI+n4a7zI3ZZkYAN79+HZOuGl3J7mva34wzhLgfjiPewTtbXw2Kly7IKuTuQQ8G+cOFEDRqloRqUslOD07cMdvM/N+MB6pVsRAa7t/n8WR3JJeIIdh1RGpqHLlZm7EyC4kFrxiBLqLrU2fT38YhPwRcFQ28BWClTNyKW7moRu206tOJkS8HZUlKLLiZQpnacFxiNf27ous6d/S/n/z9BUGhfQdD5EJtaApFYLKYmHDdaUx75LzA5+5yN4u+W0rGpr0kN09m+LmDiU+JD7L7gwc/ZvbHc4OaGB+Ooij8/ceH6NCvfdCxtX+u56WrXkcIv4/cYrdgj7Nx+ZMX8+bt74bdVO0/sS93f3Brld/L4Rxu+87Vu9i2YicxCQ76nt4HR1z1HvZ1yfGkK4Zg1zeynGTLs0jX70jMCLx46UWp8hRSpEa8VNG3kygvqUiGOWJYLBQo31c5RnVI1Kagsj/kMYmNfGUOiCgz5qREIQeQ6DSulkulJjja35Xd69JZ8M0S3OVueo3qwSmn9Qp0TsncmcVT5zyPs9iFx+3BbPWvjJOaJJG540DI8VSTyjN//J2WFbVDqmt3SX4pD4z6PwqzisJfJOCGl69m5LThIQ+7ytws/Wk5hQcKad6pGX3G9WLFzFW8euNbYX3cMYkO3tnyWlQ2H2777u1Z/OPil9izMQNdk6gmBV2XXPvPK8J2ZC8rKqcgs4DEJonEJgb74mub40lXjnrT8aRFSkysxawvAmHCI0ajieCVC4CQudjkl1jkAiR2XOJsPGJ8JTdHvH4nuNYj8CAqsgzNrCJBv4pC5ZuwAmiSq4iXN0EIsa6YHav83V+Br4ZQiFTcXiIoQlL1A8IslxCjP4tCFiDQSaZMuR+vOLXGbK1ppJS8c/d/WThjCV63F6lL5k9fSKNmjfj7Dw8RmxRL03ZpvLL8BdbMXse+rZkkNUmk/4S+3NzrrrDjmqymY6otHdcolge/uIeHRj8WNmlHCEGjCGF2thgrIy6o3CexafsmYcUaoLzY6V+RV9P21258i11r0wORMN6KQKF37/2Q5p2aVYrbdpY6ee++j1j20wpUswnN6+OU0/pw3b+uDNth/WTGKP50JNJFnH4j8fot2HkXu3ybBP0yYrTHg6rcqXIXifp52OXHmNiMmVXEymeJ128E6a04ZxMmNsAR4W0CDUERFvlHSDOELCJOvx2BN0LBOA+C0mO73yPQiVQrWiAJv0F3EJNcRZx+NyoZFQ8pNyr7idMfxCwXHxpNlvjT1KNI0a8LFny9mEXfLqlUQtRV5iZrdzZv3XkoYko1+TuQT7l1AsPPG4Itxkp8clzYcTWvFjICpTq06tqCZp3CR/tIXbLi19VV1sM+nJZdW0Q8rigKnur0tASyM3LZuGBzyLBFr9vLj//5JfCzlJJnz3+RpT+twOv24Sp14XX7WDlrNU+e/Ty6fmJWlTwWjj/BlhJVbsMk19XLH7JD/zdm1lWkkMsKYXVjZRZWWbmeSqz+CILSwKoZ/BmMJjZjk18DYJargNB/RArlmOViFJmBVf8Oi/4rQvoF2Cp/BCL/wkrs+ESvo7/ZEDjFlUiCfY3+iJapUblDHPorQT5w8FcLdOgvI2Qhsdo9JOmnkahfSiN9LDHaUyCrJw41zY+vh85q1Lwaa+esp7Qg/MPxjOvGhWxPpppUeo3uUSOrxbv/extWR/h4/T8/ncd7931UrTEPVgwMRVyjWGKq6Z7Yu2U/ZmvoF3epS9LXZwR+3rx4Kxlb9lVK+wfweXxk785m3dyN1Zr7ZOC4EmyTXEGiPpkE/Sri9FtopI/Drr9ZqxXeKiG92Pg+ZLKHwIVdHgqvUmQmKrvCNBdwYZXT/UNiC1s5TyIwsZpE/UIc8gVi5FMk6eOx6l+jyq0oIUTv0LUKOk3xMjDsOUeDW5yFmzOQWJEoh92dF5X9qHJ75AGkxMS6sIdVdpCgX4WF+RVvD+UVD8SfidPvranbOCoixTqrZpUF3yzhoTGPcXmL67m+y+189tRXgWp5p101hq5DO1cqxGSLsdKoWRLXvXhljdjXtF0ar676J50Hdgh53OP0sODrRRRmR/B1H8FF/3deyAeN1W7h3PumVrudW3LzRhGr96U0P5Rlu2nhlrDx7a4yN+vnbqjW3CcDx41gq3IH8frtqByoqLNRhsCFTX6MTb5Xs5NJD2Y5B6s+A1Ueqi/hbwgQ/uGgkH3YuSVhhdh/rn8DwyNGI8KssEFBJQuBGwUnSoV4xch/4Xc/hF7NSvy1sl3iMuL1y0jSRpKgnYNV/+bYmxMIQZn6CEXiZcDMwQr+Ah0z80nQr0SVVa18IveZFOQEbaIK3JhZiSrDpfDXPk3ahk8W8bq8fPrEl6RvyMDn9VFaUMrMt2fx+JRn8Lq9qCaV+/53B3e9fwvDzh1M/wl9ufLZS3lh3tOBnok1QWxiDFqErEeTxcS25TuiHu+U03pz5TOXYIu1YY+zYY+zY7FbOOuuKYy5bGS17WvdtQVN2jYOWRXQ6rAw4YbxgZ/NNjOqKbQEKSYl4tvEycpxs+lo198jVNlPpWJl65KXQQ2kb5vlImL1+/G7KXwIKZHEUSYewMNIIrUY0Q/bbNNoGVaIJQIvPf3/L5IoE7cTK1+Hw4o/+Wtce8M0KHChkhHWFokDN6OJkc8FXA8KpcTIFzHL5ZQqT0cVkaHITASFaLQOJO/425JlYJVfVdh3eC9JCTiJ0Z+jWA3z6i0EHkZiYQ7iCJeOrNh8VAlXsF/DLJeiiY5V2l4bTL1jEq/d9FaQW8RkNaH79KCQPa/bx4Fd2Sz6bikjLhiGoij0GtWDXqN61KqdB+uEhMMWptxqOEZdfCrDzh3M1mXb0TWdjv07VHuMw7nz/Vv4++RncJd7cJe7/cWpLCbGXDaKXqMPfTcDJ/Xjq+e/JZTL0GQyBVVONDiOBNvMiqA/8EMIVNLR6HRMcyhyH3H6nSFWd0XEykfw0g83k7DyQyW/NPhdG05x+WEX2XFyIXa+COmvldhQZBa6SMOtXERcfE/cBa+jsgudNDyMwc47CIL99AJQ2UOpeJxY+Rh+qfOgY0MgKBVPECcfDrJR4MLCXEysx1fxwKh0XJZgZglCZmKTP6KSgcSEwIebiajswsSmitDD0rCPLhNbELIEKUJvtJUrd2DWl+Kv1qdVfB8KEjte+qMwM6QrSaKGadZQN/Q74xQm3zKB71/5GSH8TQ9MFpXYxBjyMwtDXuMudzPvi4VBERi1ycHsy1CdZoRQ6Dq0c7XHNFvN/pZoNUCTtmm8vPQfLPhmERvmbSI+JY6R004NquqX1qYxE64/jV/f+6PSvVgdFkZddCrNO9ViyYYGynEj2KE2ug7iT2s+9k2bGP0ZwoXI+V/511BOP3z0wMQm/KnkAjDjZhxucW6la5zKLQjdhY0ZFePqCPwrUSu/Y9HnUay8hyY6IqxDKFH9qwtV7iRWvzukWB9EpxEe5TQKZW8s8ntUuQ9NdMBLP2zy84rO26FwY9F/wadWFmyb/ikO+RoSFUF5xT0T8Ndb+bbiMxnSh18ZSfhQQ9BFc4qUz7Dr72BhDiDxMBKnch0KBVj12RwZNeOfW8cjRlUxd+1y7r1TGX3JCJb9tAKPy8uBnVnMm74wYg3sIzvV1DYDJ/Vjzv/+YuvSbYEMRiEEZpuZG/59dbWq79UWthgrYy8bVWXj42mPnEe7U9ry/Ss/kZ2eQ0qLZKbcOpHBUwfUjaENjOMmccamf4RDvhlSLHy0o0j1b+JFDHCXEhPLMOtLQFjxiHFool3gWCN9SNgeiQfRSKVQ+QUTqzHrC0CY8YgxEV/TbdrbOHgvaOXu9zV3okj9LGC3kEUk6lMrVrChvxeJPynGy2jKlRvRRSuQbmL1B7CwGF3X8Hh8WC0CJYSv0MWZlKmPAaDKjTj0lzCzKux81UWikC8WgxLZV30kitxNjP4yZubDEQ8ciY1ycSUu5boasRGOPRmiKKeY2/vdG7JI00EsdgvTHjmPM66tuRrj0djt8/qY+9l8Zr0/m9KCUtr3bcdZd06mXe82NWbH0XA8JaBUh+PJ7gaROOMS52OVM1HZHRBtf90NK6XKE1UPIMuI129CZad/5SpV7PK//nRq5cGKeOWqV0IKRSAEPk7Bp0ZXq8PGzyEzEf2ujXQUmQn43Qf+0EBPGJfAoesEHiz8ikWfR5F4E5v3QTZv3cWsOWVs2nbIFdKto4Xxo2Po1smCySTQceBV/NluVv2rig1MdwTP/NGgooj96ESXWg9+33iCfnlFVMihe/c/1FpTrtyOV4yqUSuPlTWz16GoKmF/b4R/E3DktLpzhxzEZDYx9vJRjL18VJ3PbVB/HDeCjbBTpLyPTc7AKmcgcOJlCE7lcnQROcAfIEZ/HhNbD1tBa4CGlZ/wyp4V3U0UwsVEE7gqehEKmE5Z2GN+F8Sh+F2zXIoSweUgjvh/STkl+6/l2Xf3kZ2rEetQaNXc3xRVSkn6Xh8vvVVA4xSV265NomnTVDyMQMhcYuSLQX7umkGhur86Dv31QGz74fjv13LciTVQkYQS/q0kKS2Rp2Y9WuUmoIFBTXH8CDaAsOESF+GimqnWshwrv4V0dwic2OWHeJTJeBiBhT8juCJsOI/ildxL77DjCjQc+r/Rc3KI0TpCRWxzqBVvqM/2Z/p49uVsVBXatKycIiyEICVZJSVZJTdf4+mXi7n17mdo0syMVf+t2vcRLTqp6DSp1jX+uOvQm8oquxCyCCmqzqKsS3qM6Ba2VZfVYeWSv19IYoTSrAYGNc1xE4d9LCjkESn211/PAsqV+5E0qhQ/LQP/mSkXV+ER0fVNPBy/yAdHN/hdOhoWFoG2HSu/YmY5/vjmqvH5JK+8W4CiQkqjyP7ilEYqqhrDW+98gs/nQ8giaqM7usRKqfK3oyjkFMl/Lqo4Xj+ktkxhyNkDgxJLTGaVRs2SGDipXz1ZZnCyckIItk4ykVwdB1eDumhMoTKdcnE9Pjrioy0eTqNUPEyB8gsu5dqo5xQyF4v+Exb9Z3QaU6K8gE4jJA50YpCY8W+sHfJ/CvSKtwANiS3w+cGHxpFs3OohO1erUqz9Y6gkNupCbm4OW7Zsxqd0jxhZIwk/b6RrSsXf8Ynqx8d6GBY2rkWjJVIkVnvMuuD6f13FlFsnYI+3Y7aaMVtNDDpzAI//9DdMluPrBdXgxOfE+I0TDtyMx8qsEPHTdpziykM/iwRc4hpcXHN0c0mJQ38RG19XxDAD0odTXEaBmIkqNvvjofWZ2CpC5YKGwIqbqZjYikJWRQZlsDvn1zllxDqqfqb6RVfgE91wOEqZM+cPune7FUkSEnelBJ/DNzarj4oqNwPjqzzzSMqVm/3VD4/wY0uslCn3HZU1dYGiKpx771TOunMypQVl/kzAY6i8Z2BwLJwQK2yAMuVBfHRBYkcikJgCLbg8YgLgr65n1b/Eqs9AyPyjmscmP8fGDASeilTycgQe7PITrPyMJrrjE/1QKA3rsxVo6KIlxeo7aLQCtCAB1XXJpm0ekhspUTkMdOKQ2GjUKJmtWzejS0GR8l7Fd2JFJ7ZiVa8cdcSIQMPMMuK1a4jXbsCqfw8yOreLLtpQrPwXLwMrkmgUvHSjWHntqFbsdY1qUklIjTfE2qBeOTFW2ADCTrHyfkX89GJkRRy2P4bZS6z2EBYWAv444hj5D8rFdbiUq6OfQ0rs8v2wlejs8m3cTAHAK/pjkfPCJMd4sMvXMGkrMbMspLB7PBXrZnGwlkeEW6ciHBEZiB7xeDzYbKkUqx+hyl0oZKDLFBLkFdHf7xFIwMS2wOauKjdgk59RpLwXVV9KTbSnRP0PSJ9/tChaoxkYGBzixBFsCBs/7dBfxsLCQHz3QfFzyPfQZLtqhJQ5EYSvhKaw319ZUAjcYgIO+Qb+tl6V4479cdZOLMwm3NrZYvFbKaWMsmKaP6JZShUhBBbLoY0yTbRFo63/HGmFCBmWVXF4JI6CE8Fu7Pq7ONXbqzHIifVrZ2BQV5wwLpGwSBc2vg2ZQSlwYdffrcZgViI94ySxh6InhIMi5X002lW4IkxB4XyRMg8VRdC1o4W8/Oiq7/lT+03k5+fRqVMXFCXEP60QuDgnbBXAyOOHC0X0BHz1Qhbh0P5JkjaGRtow4rSb/HXNDQwMaoQTXrAVcsJGJ4C/yFLUCBU3EysiQCrjr67RpdJnumhFkfolRcqHHJmKHRiS0GtsCZw+OobS8qoFW2LCR18AysvLGT16bNhzy5Wb8NE5ULvlYBq8Tgw6SWikhbi/Q2VWQyEoQ8gSEvRLsPEVCkUIXJhZSrx+I2a5sMp7MDAwqJoT/t1UkhQybfzQ8UZhj4WiXLkDiz4Ljmjd5S8RtQ6zXIJXDKp0jVnOJXKGpb/2tV8otYqMQOjWyULjFH9SzOGhfX6BV/DHnuv46IFPdCM/P4+UlFQ6d+qIWf6FWV+CJAaPcvqhnpQVvn4zi7HovwMKHmUsXgaBUAL22vV3UElHkoAaewWy9E389cKD0WiLTX6GQl4ll4n/+3ERoz9FofJTnTfhNTA40TgxBFvqAbEJOiRi8TAcC/NCFGey4RQXV3MyHX+fwmAEbmz6+3jVQ4JtlvNxyPcjjqjRliLlv5hZh11/CxNrATCZBLdfm8TTL+cHibZGczQ6oYvmSGzk5+ehaTo3XHcJycolKPoBFJxIBHb9f7iYjEbnCr+5GbcyiTLloZAbf14xEq96qHh9amwcZWUeHPI/QRuuEhvlyk3E6P8KmwavUIzKLjTaRfweDAwMItNwXSLSjV17jSRtFMn6ABK1CVj1r0K2EytTHkGnWSCRxB/2Z8fDkKCSqVWhsD+iD1glvdLPdj10VEngNrBQrtwNIgavGOyvNX3Y8eZNTfztzkY47ILdGV5y8jR/30sy8dGW3LxSMjL2YLc7uPvu++iY9qa/4FTFxuLBcqk2viaGf2JhMRbmEas/Trx+Lcjwth2OS1yMk4sOc5/EILFRJm7HK0YSKo780D2KiMcNDAyio2GusKVOvH4TJjYHNhNVsnHIl1DlbsrVyr0BpUikUPkSi5xT4Z6w41Ym4uOUar+m66RELNF6eFcav10ZYc70uzZ04lBkbsVPTkJ5tJs3NfH0Qyls3Oph1pwyNm7zIKWOV9lNx049GT16LJ07d8GslmDWF4YME/Tf5ZHNgrdhlx/iFDccdgMuBIVIEV85VE8InOqtuOTlmFgJqHjpD8LvC/cyAoUZYdxPqrG6NjCoARqkYJtZWFGZr3Lkh4ILG1/jkpehiyP68wkzHjEez1Fk6R2OFKl46Y2ZlRzZIkxixyUurfSZThoKoZN0/OVX84iRz2GR32NmI/609eAtPpNJ0KublV7drOi6xOVxUGZ7A0U95NJQZDZVdVqvPL8bm/wKJzeg6uuJkw/5QxP9N4qXPpQpT3OwNKz/43i8jAoay6lcgUX/BSg7IozRRrm4xYi5NjCoARqkS8Si/xYmIcWfFGOWC2p1/lLlSXQao1dysdhwczoeUfmB4BSXV6obEgp/RMVKBC5EiKzHoPMVG9gurCTWALpMprpFlASlqHIDCfJqVPZXxIj7XSlmVpGgX4TUi6scRxdNKVb+i4/eSMwV2ZUplIn7cSvnV8umE5UyzcW3Wct4aMsnPL59OgsKtqAda9Nkg5OKBrnCrlqUarfymxSpFCozsMg/MMtFSGJxK5PQRLegcz3iNDT5Hia218zcCLwMwKncGMKuZJAK1Vlla7QmRn8h6G0BDq7yi5HlXwDTqh5LtKVYfQ8hixG40EkJuxl8spHtKeKuTR/i1D24db9LbW1JOp1imvFkxwsxiep176kLvLqPIp+TeJMdi9JApeIEo0H+K3iUsVj02YGNtcMR6HjF0No3QpjxiDPwcIb/R5mPXX8Hs1yKTiJu5Wy8DMHMPFR2VD1clNPqNKdE/XeYQQRuJlc0Ea780ArlZvG7K64jTj4QwS4Jrl+JRrAD44p4JPFRn38y8K9dP1LsK0c/7N/FpXvZUrqPn7JXMjXt+Olh6NV9vLd3NrPy1oKUSGBUo+7c0HIcNrX6SVcGNUdUgv3aa6/xyy+/ADBy5Ejuv//+WjWqKrwMR6ctgu2VQsn8bokJ6KJpndqjym3E69ci8CJwIwGLvggvXTGzPmJGY3WQmPAQuR1VuXI3Jn0tCvtRKr4bHStgAdwVtcAFAh/l4iZ0WlDlG4kwHY/lqhsMRd5yNpftqyTWB3FLHz/krDiuBPuJHV+xviQDjzy0gTwnfz3pzhxe7HJ5lKUSDGqDKgV74cKFzJ8/nxkzZiCE4Nprr+W3337jtNOqX+i/xhAqRcrbOPRXsfEd4EUSh1NcEbTpV+tISZx+P/6muhXmAeCs0ca3fsy4lEsCPwmZg1X+ipBF+JQeeBmOFHEUKZ9ilbOwyJkAeMQZuMV4BKWY5XIQJrxyIA75Mg7+E/n2UFDs5xKhC5pBFRRrTlSh4JWhk6dKfUdf26Wm2Vq2nw2leyuJNYBXaqS7clhTkk6f+Db1Y5xB1YKdmprKgw8+GCgm1L59e/bv31/rhlWJsFOu3k+5vBdwA7Z6yaRT2Y5CTphEmshiHa4+x5HngBmdREqVZ9FFcwCs+hfEyJc56NXWdQeSJIqVd9FFY9xiSqBy4KGxrBW9LcEqv8PCzJA1Vg6fW6c5iv1MKKuN3pAnB40tkd1DbR2Nj2rcXE8xn2cuYEHBFiQwKLEDFzUdThNr4lGNB7CqeDdePXRmsEv3sqxouyHY9UiVgt2xY8fA/+/evZuff/6Zzz//vFaNqhZCAeqvCaqgAH+j3erhF8MkVAqqGB8kkiLxKVL40+hNcj0x8pVK7iCFciRuYvV7KVY/qnJ+m/wQJUxCj/8hYcLNZMqUe0gVVmqj3djJglUxMym1Lz/mrMB9hBhaFRMXNR1e7TGz3IXcvukDnJoHrWKTeXbeehYWbuWlLlfQwpZc5Ria1FlRtIMlhdvJ9ZbQxp6KR/ehCIEeIgFNIDAblRbrlai//W3btnHDDTfwwAMP0KZNm6gnSE6OPRq7IpKaGlf1SXWE1Hohc6orZgrCNhmTdRiy6O9UVe5UCCvJ8esQ9skA6IVfgCtU9UENMztIScpGmNpHHFPPygnrlxbYESk/4TC1CDQZO56+8+pwvNh9T/JkvBt8zMxcg0koCAQ6Ovd2ncLYFj2Czq/K7n+t+oFyzV3JL64jcWoePsiawyv9r4p4fYGnlJuXvMe+8nx8FaGFy4t3oAoFPUyooVU1MaVdX1ITItt2vHzn1aUh2B2VYK9YsYLbb7+dhx9+mEmTJlVrgry8UnS95vy4qalx5OSU1Nh4x46NWEZVdE0/sj3ZwR11b8A9IlGRxFLkuQHdk0ocv2BiSciIl8A4UlJSXIan1H/fCdq2imKtweiYKM3fgldEfs1OkI0xsTv0fOjk5VtA+Oc7/r7z6Dje7L6hyXjOazSEjaV7sSgmese3waaYg2ysym4pJXOzN4bcxJRIluZuJzO7MGKo4CPbPiejLC9oDE3qCAT+4NBDx6yKmcHxHUn2xEe07Xj7zqPlWOz2SY1CbzmxJhs25dgTxBRFhF3oVinYmZmZ3HLLLbz00ksMGTLkmI05ESlVHiNWd2NhMf5O6f4eMKXKU+ik4dDfwMISdFQ8jMWp3IAu/I2BS5QXMLOgoujTljBtxXyVKgBqtEFle0gfucBXEfkRGae4ilj5XFACksSCmwmBlHODmiXZEsepjboe8zhVJdxoUg8r2HmeEtaX7Akp+OAXfUUoNDEnkuctppE5lnPSBjExte8x210dMt0F/Ji9gu3lB0izJDKlcT86xtRtBFgkNKnzyf6/+D57BbrU0ZEMSezEza1OJ85UO38/VQr2e++9h9vt5rnnngt8Nm3aNC666KJaMahBImyUqv9CkfswyfVIEYeXAYF07BL1X6SmxpEX6gkuFLycilf0qMg2zKxUq0Riw8W5/qSYClzKJVj0eRBUOU9Foy2aaFulyR4xCbdcj5XvAR/+ZBsbPjpTptxbxdUG9YkQgs4xzdhcFnrzv6UtBatiZmd5FrNy11DgK6NbTAvGpfQkRrWR4y3GLExho1YALMLEEx3Pp3kUvvDaYFnRdp7dOQNN1/Ghs5G9zC/YxLSmw7igaR3kWUTBy7t/YkHBZtyHRdQsLNjCjvIsXu92LWal5pOhhJQhdhdqkBPfJRId4exW5Q5i9Gcx4e/MIjEHBFsSj1NcjUtMC4qAseqfESNfIRAlggNJAsXKe8F1VCKgyN1Y5GwEXrxiED56B811on3nxzvR2L2+JINHt31eSSzAL7SPtD+XTaV7+SZrCV6poSOxKmbMQuX5zpcSb7Jz9br/RBRss1D5X6/biTVFLquwx5nLjKwlbC8/QGNLApd1GkEb/eiiXg7i0r1csubfuPTgImsWYeLfXa+ilT0l7PU+qVGuuYlRbahRZtpW93cl013ATRveCfkd2hQzt7WewKhG3aMe73COySViUHsoci/x+lX+ji0Vnwl8SKyUcj8eZWrYUEW3chFeOQaL/BUhC/EpPfFyarX7JeqiDS5RjUbEBscFPeJa8n8dzuO19Jnke0sBSDQ7uLHleGyqmW+yl1QSc7fuxY2XJ7ZP570eN9Enrg0rineGdIuoKAxIaF+lWC8o2MyLu37AJ3U0dHY6s1m1YheTUvtxTYsxR31vSwu3IcLEXWlS49fc1VzXclzQMbfu5YO9c5iVtxa9wiU0MbUvlzUbUeOr3bUl6SgohGpM4tK9LCrcetSCHQlDsOsRu/5eoLvM4QjcxPA6Hs4kUqS2LtJwictr1UaD45dT4tvybo8byfEWg4RUSzxCCJ7dOQNPmFjqIl85W8r3c0/bKTy05RPSXbmVRNskVJpaE7m99cSIc7s0D//a/WPQCt+t+5iRtYT+8e3ofZTx2oW+cnxhVv8akjxv8EpYSsmj275ga9l+PBXXeqXGD9nL2ePK4e8dLjgqW8KhCsW/lgrjPDDXUm0YQ7DrEX8XnNCbR4JyFDLQaV3HVhk0JIQQNLYkoEvJ5rJ9lGgu9jvzw6ZsKQjyPaV0iWnOq92uYW1JOn/lb2SvO9+/IZrUlYEJHap0JSwtCl/MTAL/3PU9H/e+/ajuqb0jLWxmqEWY6BITvKm+vjSD7eUHAmJ9EI/0sbZkD9vLD9DB0eSo7AnFgPgOvFaRSXwkNsXM6EbBoZo1gSHY9Uqkp7DE+OcxiIZNpXt5ZucMnJoHkCF9vwfxSZ2WFf5fIQS949sc1Uq4RHOFXcUDFPjK2ePMjehrDke3mBakWRLZ68oLJAUdxCN9LCncRv+EdpWSg5YWbgtUQTwSr+5jRdHOGhXsBLODC5sOZfqBxZXmtQoTXWKac0p81Rv/R4NR+7IecXN6RTGmYHRS0WlWxxYZNDSyPUU8su1z8r2lOHUPTt0bdnWtIujgaELLGoj86ORoGrHwgoog3ZlT5Tia1Flbks7Cgi1ke4oA/4Pk6U4X0caeGlKg1pWmc9em/5LpPpQlrER4IxAIlFooW3FR0+Hc3WYyrW2pWISJFHMcFzc7lcc7XlAr84GxhKtXnMqVWPWZQGGgHrX/j8BGmfLwcdFl3CTXohdOJ0HbhY8OuJRL0ETHqi80qBHyvaXMyVtPgbeMjjFNGZrYudIG2ndZy/Dp0dY/F0xrFrnaY7R0jGlKrGqjRAud8GUSKvEmO+nOHDy6jzb2VMyKiSJfOX/lbyTfW4qC4OfcVXh1f9MOr9QYkNCBe9tOoUxzkespDukwlPg39j7PXMBdbfzZv82tjcLaqgqFwYmdjv2mQzA8qQvDk7rUytihMAS7HpGiEYXKJzj0t7Awyx9aRy+cyq34RM/6Ng+b/gEO+S643JiQqGzFqv9GqXgYj1K9jFeD6jMrdw1v7JmFROKVGnbFwjsZv/N850tpbvML1PrSDHwhIhVCoaHz7I4ZfNDz5moldmhSD+nTvqftZB7fPj3kStskVP61+0dKNRdKxcb54MROzMvfhBAiqBrgQZYX7eBfu35ka3kmRWEeBuDPwlxSuA2ALWX7eXPvrJB2mIXKyEbdauSt4njAEOx6RopUytRHKOOR+jalEorMwCHfqVTNz/8WoBErn6ZAnupv1GtQK6Q7c3hzz6xKwubUPbh0D49t/5J3ut+AEIJ4kyPCKMFoUue33LWc02RQ2HOklOxyZvND9nIWFmylVHcRb7JzVuOBnNdkcEC8ByR04Jy0QfyQvSJgp0WoCARu6aXUWzmxa3b++ooJwtvnkT4WFW6NKgzvYOjfe3tnBxXVOkgjU2yVES8NCUOwDUJi1X8gVIwp+GtkW+QfuMXZdWvUScQP2ctDRklIoMBbyuayfXSNbcGk1L5sLM2IuNF4OB7pY0t5+PLIO8qzeH7nt2S6CyqF+xX7nHy8fy5z8tbxTOdLaGT2J3Zc3WIMQ5M683POKrJchahmwaai/RGTcqpCFUqVqfcqCqfEtyHHXczG0r1hz8vyFqGjo0Tc4K+arWX7+XjfX2ws24tJqIxu1J2Lmg4nwVy9B+axYmw6GoREIR9B6FWLwIOgqI4tOrnIcAUXZjqIQJBVsUHXM7YlrWwpqFH+KasIUsyhq9LleUp4cMv/2OfOD1NYCjLc+Vy7/k22lWUGPu8S05wL04awo3g/GwqCmx9UHxlwo4RDQ2duwSauXP86soq68x/unYtXP/oHyOri3Ty49RNWluzCpXsp1Vz8krOK2ze9T7Gv/KjHPRqMFbZBSHyiN7qcGbKKoMSKL0TDYYPoKfE5mZ23nn3ufFpYkxmd3L2SX7mVPYVNpXvRwlTka2JNZEXRTp7Z+Q1SykrhbxHyOVCFyukpfUIe+yEn9Kr+SNy6l6d3fsM7Xa5n69YtzJnzO58t+4UCXxkSib1VCgn92mFvlYJQq78mTDA5UIRCtqeoRvo1/Zizgr3uPB7rcH61r5VS8kr6z0EuFx86Rb5yZmQt5Yrmo2rAyugwBNsgJG5xGg75ChJXpaqAEhWdxvg4fnoQNjRWFe/iqR1fI6XELX1YhYkP9//Jo+3PC8RET0ntz++569BCrFaTzXGkmuN5eOtbIWOP7YrFv8FXsAnwR18oCMxC5dJmI8LGRq8u3h21KyMrM5M7PrsbtcSLxW6jPEnFIuL995RVxIFvlmJOdJA2dQCWlOjqTJuEgoLC6al96Bvflie3f41L9+LUPViECSkl3ig3WA/HI32sKdnNjvIs2juir7MDsN9dQKEvdH88r9SYk7ehTgXbcIkYhEbYKFLeR6M1CDs6Mf6VNV0pVt46LkIOGyKlPhdP7fAL0cG0brf04dK9PLHjK8o1/yZvK3sKt7WegBk1yD3QLbYFM3NXh2004JM660szkNLvWmhqSWRcci/+2eXyiJuNMWrk2iEH8eSWsOfTeczLWo872UJ8o8RAHLQQAnOCA2taArrby/7PFuDJDV1UySpMOBQrPWNbkmSKQZM6CoKvDyzhgS2fMD6lF3e0nsiFTYZydYvR3Nt2SshxosGna6wo2lHt6w7WBw877jH46o8GY4VtEBZdtKRI+YqUpL2UFuxAp3VUpVsNwvNXwcaIr/nzCjbRusmpAIxu1J1fc1ezqXQfhzs55uZvxKFawq6GPdIXSELxSZ08byl7XXm0tqdGtG1kUjfWl+4JdKAJhdR0sr5bhlAFarydFUU7STLFYFZUtCPiwU3xDnzF5WR9t4wWV46q5B6JVW1c33IcI5K6MjN3NR/s+9MfXy29gVv9Nns5N7ccz+XNRwKwumhXRPsj4U+eqf76tLmtERZhwkXwm4yKYEBCB8Av7L/nreOH7OWU+Jx0jmnGhU2HVXtFXxXGCtsgMkIgzN3wilGGWNcAma7CsCnULt3LAfehzdzNZfvYXn4gZHp2qeaKeqPRI33sdGYF4pZDsceZy7t7/0Crotqyc08u3sJyTPH+6AgNnc1l++gV1zpkrLYp3oG3sAznntxKn5dpbt7M+I3vs5bz6b55Ib8Tt+7l08z5gZ+7xbWscjMy3HFFKAxOrH7ClyoUrmoxGmuIKpgWxcwFTYegSZ3Htn3JWxm/scuZTa63hIWFW7lvy0csjfCdHw2GYBsY1CEt7Mlh20jZFDPNbUmBn1cU7Qwr7j6pVxkdcTgu3csfeevCHn9u17eU6e4qxyxavgPFVtn+Ql85HRxN6B3XGrNQMQsV02HSotgsFK3YWekaiaRcc/O/zHkU66GbQQNkeYoCDYEtiokJYTZMD6IKBatSWVytwsyoRt2iakwcivEpvbm19QQamWMxCxMmodA1pjn/7HIZTa1JLCzcwqayvZX+rSQSt+7jxd0/1qjbxHCJGBjUISOSuvJuxh8hj6lCYXjSofZhSkWz3lAiqiAYktCJZcU7ApmQZqFG3DQs8JayozyLdvbGiMP2IPa58tjvzK/SdqlLnBl5WFIrJ0x5dB/fZS/z931M6YRNN6EKlQJvGcuLdiDj7Tj35CJ1iVAqr4CrCgE0o1aqy3F+06HMzF0dMnoG/CnqY5J78G32Mgq9ZSSb4zivyeBjbm82JrkHoxp1p9BXhlmolSJ6ZuasDhsHr0udDSUZR11q9kgMwTYwqEPsqoUnO17Io9u/QJc6Lt2LTbGgCMGTHadVWn0PSezEVwcWBdWcBn/K9UXNhnNj6/H8kbeOHE8xjS3xfLzvL3xhSvZuL8/i7s3/JVa181C7s+gR1wqAQm95VNEX0uev+SGO2HB26v7m02Wam0W5W0izJDKiUTfyvaVIpP98WXG9pXqSYzki4zHVEk+HmKZsLcsMepBZFTNT0wYwPqU35zYZXK15okERIpAwdDgHN4rD4YwyqSkaDME2MKhjusQ25+Net7GwYAsHPIU0tSYxNLEzliNe5ds6GjM0qQsLC7dUet02CZUm1kRWl+xmRFJXzm/ib45d6C1jRtaysGFoGjpIKPSV8eDWT3m169W0tqfy9t7fo7JbmFQk/tjkI0X7ID6pk+UpZFvZflYV70ZHIqUE4b++upTpHi5a/TJt7Y0p9JVRrntobUslRrXilVrge7EpZnrHtWFsct3X4OmX0I5dzuyQbzdeqdGpBhsHG4JtYFAPWBUzo5OrLnJ/d5vJdMppyjcHlpDnLfGvcIF0Vy4f7vuTj/bN5Yrmo2hlT+GxbV+EzY48EonkuZ0zuKjpcLaXH4jqGqEI7C2TcWcXY04In5Ltkzoby/ahV6z0fcVOfxKNcnShoMWakzWl6YGfcz0lmIXK6EY9yPYU4lCtjE/pTd/4drVW1jQSk1L78X32cnxaZUeNVZgY0ahbyFX50WI04a0jGqrd0HBtP9Hsvm/zx2wp2x8UNWIRJrSKvorVJc2cQJY3+jID5buyOfDNUqxpCRHPO9yf7s4qpMk5g3C0rdycV1Qk8/gqGgVXF6ti4r89b6l2AaxQHOvvSrozhxd2fc8+Vz4mRcWna4xP6c11Lcdiqma7MKMJr4FBAyfTXRAyxA+q3riLRDRifbj42lulYE50oBU7McXbIzRLUPCh4S0ux5wYg71V5ezKGNXKKXFtuajZMN7f+ycriquf1OLWfVy97g1e6nplvZdPbW1P5bVu15DpLqDY56SlLRmHaq3xeYywPgODBsABd2G1V2o1xdjknliECQWBUBVanT2EOMVGnDO8fLikF29xOVKTpE0dEEiaURA0tzbii9538VD7s2liTWJdSXrYcarCqXt4Zsc3R319TdPUmkTnmGa1ItZgrLANDBoEjS0JdZ4GDdDK5k+Rn9K4P/MLNuHRfZzSsS1p3W/gkudvw52VhWIzY4q3I4RASomv2Inu8mBOjCFt6gBiUxPxSg2bYiHWZOPJjhcGNi2LveWBKJKjJctTxG5nDm2qyOQ8ETAE28CgAdDc1oi2jsZsLwt2i5grVt7hYrBbWBux/4j61tFgFkogLbyNPbWyIMZDo8uGwO79FK3Y6c9klIAgqFpfS1sKQ5M6087emH4J7StlRCaYHRzrNpqKQoG31BBsAwOD44eH253D/Vs+ptjnxKl7MFUk1lzS9FRyPMX8lre2kj9bILiy+UjOazKEHeUHmJe/ma+zFkcUbvVgzQ0JlzY7lSEReiHGWGy42jbG0bYxUpf+OGuTGhQNIoRgWtPQvSStipkxyT34I29dyAeOSSggBVrYVBnwSl+9+7APsqZ4N9MPLGafO480SyLnNhkUqDdSExiCbWDQQEixxPFOjxtZUriNjaV7iTPZGd2oO42tCUgpObVRV37KWUmBt4wesS2Y1LhfIKSsvaMJ7R1NyPWW8Ff+hiD5Ewh6xrZkTHJPTEKhf0L7Kvs+npFyCtMPLMIjfQhFhEyKURC0t0cugHRdy3HsdeWxvfwAbt2LgoIqFMYl9+LstAGYhEqpz8Xdmz8MSvAxC5VT4tuSYqn/dnVfH1jMJ5nzA7Hh2Z5itu7M5MzU/lzZYlSNzGEItoFBA0IVCkOTOjM0qXOlz4UQ9IxrRc+K7MVwXNV8FKuKd1KquQM+cRUFu2rh9jYTaWpNinj94ZzTZBCLi7ax15UXtuaJCYWz0gZGHMemmHmu0yVsKtvHquJdmBUTwxI70fywVXNjawL3tJ3CS+k/oSACpWU7xTTjvrZnRm1zbZHnKeHj/X8FvSW4dS/fZS9jXErPo65lcjiGYBsYNFDKNBeLC7dR6nPRObYZnR3NwmYgHiTZEsfr3a7lm6yl/lKvUjIksRPnpA2msTXyKtWraxT7yokz2bEoJmyKmRc7X8aXmYv47MCCkDVP4syOqNwVQgi6xbagW2yLsOec2qgrAxLas6x4B2U+N51jmtHW0Tjs+XXJ/ILNYesIalLnz/wNXNpsxDHPYwi2gUEDZHbeel5N/wVFCH/hf6HQ2pbCEx0vrNKVkWiO4eoWo5ncuC8f7/uLmbmr+TFnBW3sjbmy+Sj6J7SvdL5X9/HBvjnMzF0T2CAc1agb17c8Dbtq4YCnMGxbsjLNxQ5nFh0cTWrkvm2qhVMPK5B1vODUPWE3fTV0yqqoNxItRhy2gUEDY0f5AV5L/wVPRaeagzU1djqzeH7Xd0Hne3WNfG8pnoq+hPMLNnPNuv9w1br/MDt/PV7p92jvcmbzzI5v+Ct/Y6Xrn9zxNb/krMate/FIHx7pY07+Bh7a+im6lOyN0DBYQZDlLqzpr+C4o1tsC6xhyubaFQs9YyO7qqIlqhX2Dz/8wBtvvIHX6+XKK6/kkksuqZHJDQwMqs/XB5aEXM35pM76kj1ku4tobE3Aq2v8d9+cinZifkFtZ09jpzMrbHakW/p4I2MWw5K6oAqF7eUHWF+yJ+h8r9TIcOWyumQXre2pbC8/EFK0NWS1/OIH2VF2gHkFmxFCMCGlN42tidUeoy7pGduKZtZG7HHlVOrYo6KQaI5h0FE0TwhFlYKdlZXFSy+9xDfffIPFYmHatGkMGjSIDh1qLlTFwMAgenY5s8OuaM3CxD53Po2tCTyz8xtWF++uJLaby/dVOb5X19jtzKa9owmrineFbRnm0r0sK9zO1MYDmJu/MUjUFQTNrEm0q0abLJfm4YGtn1QqSPXlgYX0iW3NE52mhexqczwghOCZThfx4q4fWF2yG7NiwqdrdIltxv1tz6oxu6scZeHChQwePJjExEQcDgenn346M2fOrJHJDQwMqk/jCCFsGhrJ5jh2lmex5gixrg4HHwcmoUbcyNxSlklbR2NubnU6FmEKuAXsioVUSzyPdTi/WvM+u/PbkNUDV5em80IId8/xRJzJzt87XsD7PW/m8Q4X8E6PG3i20yUkmWNqbI4qV9jZ2dmkph7KIGrcuDFr166NeoJwVaeOhdTUuBofsy5oqHZDw7X9RLT7CjGS9asycGmVQ+kEgpaOZPq1asvHu/6KkGoSGbOqMqBlO0yKysSYPny0f27Y1PFdriy2k8nFXYcxoX1vfstcR5G3nC7xzRia2rlaK8sCTykri3eGPb6gYAv2JDOxpui6u1eXmvpdSSWOztRcDezDqVKwQ6WNVhU6dDhGeVU/DdVuaLi2n6h2t6MJE1P68mP2ikBpUptixqqYeaD1WeTklOAq81bRrjY0VsXENc3GUJBX7v8ZCyOSuvJ7mH6QHl3j/a1z6FAhUBe0HhKwPT83dCOFcGwq3Ruxp6REsiJjV8TQv6PlePpdOabyqmlpaSxfvjzwc3Z2No0bHx+xjwYGJyvXtBjD6Ebd+T1vLUW+cnrFtWZkUjdsqgWAwYmd+O++P6s1ZlNrElc3Hx2UlDM+uTd/5W/EEyZsLbOGokCSzVWtcAWOivs7WalSsIcOHcqrr75Kfn4+drudWbNm8eSTT9aFbQYGBhFo50jjesdpIY81sSYyIfUUfs1dUykL0SpMtLY3plRzkukuwCRUhid14fJmI2lsDd2UoIk1MaJzpYWt0bHcRoDG1gTSLIkc8BSGPB5vstPaduwFnrLdRXyWuYDFhVsB/8Pt1tjTUamf8rXVIaoV9l133cXll1+O1+vlvPPOo1evXnVhm4GBwTFwfYtxtLen8cWBReR4ikg0xXB22kAmN+6HKhR8UkNFCbg4vbpGqeYizmSrVHs72RJHr7jWrClOx3dELQ+rYua8ip6SNcGTHadx08a3gyJTFAT/1+7carljQ7Hflc+dm/+LS/MEfPx/5K1l0YKtvNTliqMKQaxLjBZhdURDtRsaru2G3dHh0r28nzGb3/PXIqW/O/jpKX24qvkozBWNgUt8Th7a+imZ7gLcujcg6Jc2O7WSYNeE7WWai7cyfmdJ4TZ0qdMrrg3XthxTI2L6xPbpLC3aEeQrFwgGJXTg/zqcd8xzHCtGizADA4OQSCn5v22fs60s81AyjoRfclaR4crlyY7TAH/I2qtdr2ZtSToby/ZiVywMT+pKiqXmo3BiVBt3t5lc4+PqUrK8aGfIjU2JZFnRDnQp66WRb7QYgm1gcBKzrnQPO8uzgjInPdLHhtK9bC3bT6eYZoA/Oqx3fBt6x7epB0uPHYkMdHIPhY5eIebHr2Afn2lDBgYGdcLyoh1hS6N6dB8ri3fVsUW1hyoU2kaozd3OnnbcZlIe5Pi2zsDAoFaJJFAK4rgXsOpyTYsxWESwY8GqmLmmxZh6sKh6nFj/GgYGBtViWFKXkAIGfjGP1CKsIdInvg0Ptz+bNEsCFmHCIkykWRJ47pSLG4Srx/BhGxicxHRwNGFQYieWFG3FrR+qO2JVzIxK6lYjXVLCke8tZVbuGvY4c2lpT2Z8cm+Sa2ET80gGJHSgf4/25HiKAUi1xNM4Nb5BRBQZgm1gcJJzb9sp/Ji9ghnZSynwlpJsjuP8JkM4I6VPrc25tGg7z+2YgY7EKzXMhSrTMxfxYLuzGFhDpUgjIYQImyh0PGMItoHBSY4qFKamDWBq2oA6ma/E5+S5nd/iPqyS4MEoled2fcuHPW+tsmvOyYrhwzYwMKhT/irYRNjyfxLmHtHxxuAQhmAbGBjUKTnu4kr+8sNxS1/At2wQjCHYBgYGdUorewr2MP0PbYqZ1vaUOrao4WAItoGBQZ0yPKkLpjChhGahMiypSx1b1HAwBNvAwKBOsSgmnul0EQkmB3bFgkmo2BULCSYHT3e6OGz3cQMjSsTAwKAeaOdI4+Net7G8aAeZ7gKaWJPon9CuUllXg2AMwTYwMKgXVKEwqA5irk8kDJeIgYGBQQPBEGwDAwODBoIh2AYGBgYNhFr3YStKzRcDr40x64KGajc0XNsNu+uehmr78WJ3JDtqvaejgYGBgUHNYLhEDAwMDBoIhmAbGBgYNBAMwTYwMDBoIBiCbWBgYNBAMATbwMDAoIFgCLaBgYFBA8EQbAMDA4MGgiHYBgYGBg0EQ7ANDAwMGggNTrCXL1/OOeecw5QpU7jxxhspKiqqb5OiZsWKFZx77rlMnTqVK664gn379tW3SdXi3//+N6+++mp9m1ElP/zwAxMnTuS0007jk08+qW9zqk1paSmTJ09m79699W1K1Lz22mtMmjSJSZMm8Y9//KO+zakW//73v5k4cSKTJk3igw8+qG9zIiMbGOPGjZPbtm2TUkr5wgsvyBdffLGeLYqe0aNHy02bNkkppZw+fbq88cYb69mi6CguLpYPPfSQ7NWrl3zllVfq25yIHDhwQI4ePVoWFBTIsrIyOWXKlMDvS0Ng9erVcvLkybJ79+4yIyOjvs2JigULFsgLL7xQut1u6fF45OWXXy5nzZpV32ZFxZIlS+S0adOk1+uVTqdTjh49Wu7YsaO+zQpLg1th//zzz3To0AGv10tWVhbx8fH1bVJUeDwe7rjjDrp08fer69y5M5mZmfVsVXT88ccftGnThquuuqq+TamShQsXMnjwYBITE3E4HJx++unMnDmzvs2Kmi+//JLHHnuMxo0b17cpUZOamsqDDz6IxWLBbDbTvn179u/fX99mRcXAgQP56KOPMJlM5OXloWkaDoejvs0KS4MTbLPZzJYtWxg5ciRLlixh0qRJ9W1SVFgsFqZOnQqAruu89tprjBs3rp6tio6zzjqL66+/HlU9/ts3ZWdnk5qaGvi5cePGZGVl1aNF1ePpp5+mf//+9W1GtejYsSN9+vQBYPfu3fz888+MHDmyfo2qBmazmVdeeYVJkyYxZMgQ0tLS6tuksBy3gv3LL78wYsSISv9deeWVgH91unDhQm6++Wbuuuuu+jU0BJFs93g83Hvvvfh8Pm644Yb6NfQIItndUJAhik8KcXyUzTzR2bZtG1dffTUPPPAAbdq0qW9zqsXtt9/OokWLyMzM5Msvv6xvc8Jy3PZ0nDBhAhMmTKj0mdvt5vfffw+sTM8880yef/75+jAvIqFsBygrK+Omm24iMTGRN954A7P5+OoOHc7uhkRaWhrLly8P/Jydnd2g3AsNlRUrVnD77bfz8MMPN5i3XoAdO3bg8Xjo2rUrdrud8ePHs2XLlvo2KyzH7Qo7FCaTiccff5z169cD/hVh375969mq6Lnvvvto3bo1//73v7FYLPVtzgnJ0KFDWbRoEfn5+TidTmbNmsWIESPq26wTmszMTG655Rb++c9/NiixBti7dy+PPPIIHo8Hj8fDH3/8Qb9+/erbrLActyvsUKiqyksvvcSjjz6KpmmkpaXx9NNP17dZUbFx40b++OMPOnTowFlnnQX4/avvvPNO/Rp2gpGWlsZdd93F5Zdfjtfr5bzzzqNXr171bdYJzXvvvYfb7ea5554LfDZt2jQuuuiierQqOkaOHMmaNWs466yzUFWV8ePHH9cPHaPjjIGBgUEDoUG5RAwMDAxOZgzBNjAwMGggGIJtYGBg0EAwBNvAwMCggWAItoGBgUEDwRBsAwMDgwaCIdgGBgYGDQRDsA0MDAwaCP8PvqBQAeq3aXMAAAAASUVORK5CYII=", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.scatter(X[:, 0], X[:, 1], c=y_kmeans, s=50, cmap='viridis')\n", "\n", "centers = kmeans.cluster_centers_\n", "plt.scatter(centers[:, 0], centers[:, 1], c='black', s=200, alpha=0.5);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The good news is that the *k*-means algorithm (at least in this simple case) assigns the points to clusters very similarly to how we might assign them by eye.\n", "But you might wonder how this algorithm finds these clusters so quickly! After all, the number of possible combinations of cluster assignments is exponential in the number of data points—an exhaustive search would be very, very costly.\n", "Fortunately for us, such an exhaustive search is not necessary: instead, the typical approach to *k*-means involves an intuitive iterative approach known as *expectation–maximization*." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### k-Means Algorithm: Expectation–Maximization" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Expectation–maximization (E–M) is a powerful algorithm that comes up in a variety of contexts within data science.\n", "*k*-means is a particularly simple and easy-to-understand application of the algorithm, and we will walk through it briefly here.\n", "In short, the expectation–maximization approach here consists of the following procedure:\n", "\n", "1. Guess some cluster centers\n", "2. Repeat until converged\n", " 1. *E-Step*: assign points to the nearest cluster center\n", " 2. *M-Step*: set the cluster centers to the mean \n", "\n", "Here the \"E-step\" or \"Expectation step\" is so-named because it involves updating our expectation of which cluster each point belongs to.\n", "The \"M-step\" or \"Maximization step\" is so-named because it involves maximizing some fitness function that defines the location of the cluster centers—in this case, that maximization is accomplished by taking a simple mean of the data in each cluster.\n", "\n", "The literature about this algorithm is vast, but can be summarized as follows: under typical circumstances, each repetition of the E-step and M-step will always result in a better estimate of the cluster characteristics.\n", "\n", "We can visualize the algorithm as shown in the following figure.\n", "For the particular initialization shown here, the clusters converge in just three iterations." ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.98, 0.98, 'Final Clustering')" ] }, "execution_count": 30, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from sklearn.datasets import make_blobs\n", "from sklearn.metrics import pairwise_distances_argmin\n", "\n", "X, y_true = make_blobs(n_samples=300, centers=4,\n", " cluster_std=0.60, random_state=0)\n", "\n", "rng = np.random.RandomState(42)\n", "centers = [0, 4] + rng.randn(4, 2)\n", "\n", "def draw_points(ax, c, factor=1):\n", " ax.scatter(X[:, 0], X[:, 1], c=c, cmap='viridis',\n", " s=50 * factor, alpha=0.3)\n", " \n", "def draw_centers(ax, centers, factor=1, alpha=1.0):\n", " ax.scatter(centers[:, 0], centers[:, 1],\n", " c=np.arange(4), cmap='viridis', s=200 * factor,\n", " alpha=alpha)\n", " ax.scatter(centers[:, 0], centers[:, 1],\n", " c='black', s=50 * factor, alpha=alpha)\n", "\n", "def make_ax(fig, gs):\n", " ax = fig.add_subplot(gs)\n", " ax.xaxis.set_major_formatter(plt.NullFormatter())\n", " ax.yaxis.set_major_formatter(plt.NullFormatter())\n", " return ax\n", "\n", "fig = plt.figure(figsize=(15, 4))\n", "gs = plt.GridSpec(4, 15, left=0.02, right=0.98, bottom=0.05, top=0.95, wspace=0.2, hspace=0.2)\n", "ax0 = make_ax(fig, gs[:4, :4])\n", "ax0.text(0.98, 0.98, \"Random Initialization\", transform=ax0.transAxes,\n", " ha='right', va='top', size=16)\n", "draw_points(ax0, 'gray', factor=2)\n", "draw_centers(ax0, centers, factor=2)\n", "\n", "for i in range(3):\n", " ax1 = make_ax(fig, gs[:2, 4 + 2 * i:6 + 2 * i])\n", " ax2 = make_ax(fig, gs[2:, 5 + 2 * i:7 + 2 * i])\n", " \n", " # E-step\n", " y_pred = pairwise_distances_argmin(X, centers)\n", " draw_points(ax1, y_pred)\n", " draw_centers(ax1, centers)\n", " \n", " # M-step\n", " new_centers = np.array([X[y_pred == i].mean(0) for i in range(4)])\n", " draw_points(ax2, y_pred)\n", " draw_centers(ax2, centers, alpha=0.3)\n", " draw_centers(ax2, new_centers)\n", " for i in range(4):\n", " ax2.annotate('', new_centers[i], centers[i],\n", " arrowprops=dict(arrowstyle='->', linewidth=1))\n", " \n", " # Finish iteration\n", " centers = new_centers\n", " ax1.text(0.95, 0.95, \"E-Step\", transform=ax1.transAxes, ha='right', va='top', size=14)\n", " ax2.text(0.95, 0.95, \"M-Step\", transform=ax2.transAxes, ha='right', va='top', size=14)\n", "\n", "# Final E-step \n", "y_pred = pairwise_distances_argmin(X, centers)\n", "axf = make_ax(fig, gs[:4, -4:])\n", "draw_points(axf, y_pred, factor=2)\n", "draw_centers(axf, centers, factor=2)\n", "axf.text(0.98, 0.98, \"Final Clustering\", transform=axf.transAxes,\n", " ha='right', va='top', size=16)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The *k*-Means algorithm is simple enough that we can write it in a few lines of code.\n", "The following is a very basic implementation:" ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from sklearn.metrics import pairwise_distances_argmin\n", "\n", "def find_clusters(X, n_clusters, rseed=2):\n", " # 1. Randomly choose clusters\n", " rng = np.random.RandomState(rseed)\n", " i = rng.permutation(X.shape[0])[:n_clusters]\n", " centers = X[i]\n", " \n", " while True:\n", " # 2a. Assign labels based on closest center\n", " labels = pairwise_distances_argmin(X, centers)\n", " \n", " # 2b. Find new centers from means of points\n", " new_centers = np.array([X[labels == i].mean(0)\n", " for i in range(n_clusters)])\n", " \n", " # 2c. Check for convergence\n", " if np.all(centers == new_centers):\n", " break\n", " centers = new_centers\n", " \n", " return centers, labels\n", "\n", "centers, labels = find_clusters(X, 4)\n", "plt.scatter(X[:, 0], X[:, 1], c=labels,\n", " s=50, cmap='viridis');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Caveats of expectation–maximization\n", "\n", "There are a few issues to be aware of when using the expectation–maximization algorithm.\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### The globally optimal result may not be achieved\n", "First, although the E–M procedure is guaranteed to improve the result in each step, there is no assurance that it will lead to the *global* best solution.\n", "For example, if we use a different random seed in our simple procedure, the particular starting guesses lead to poor results:" ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "centers, labels = find_clusters(X, 4, rseed=0)\n", "plt.scatter(X[:, 0], X[:, 1], c=labels,\n", " s=50, cmap='viridis');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here the E–M approach has converged, but has not converged to a globally optimal configuration. For this reason, it is common for the algorithm to be run for multiple starting guesses, as indeed Scikit-Learn does by default (set by the ``n_init`` parameter, which defaults to 10)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### The number of clusters must be selected beforehand\n", "Another common challenge with *k*-means is that you must tell it how many clusters you expect: it cannot learn the number of clusters from the data.\n", "For example, if we ask the algorithm to identify six clusters, it will happily proceed and find the best six clusters:" ] }, { "cell_type": "code", "execution_count": 33, "metadata": { "scrolled": true }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "labels = KMeans(6, random_state=0).fit_predict(X)\n", "plt.scatter(X[:, 0], X[:, 1], c=labels,\n", " s=50, cmap='viridis');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Whether the result is meaningful is a question that is difficult to answer definitively; one approach that is rather intuitive, and that is discussed in the lecture notes, is called [silhouette analysis](http://scikit-learn.org/stable/auto_examples/cluster/plot_kmeans_silhouette_analysis.html).\n", "\n", "Alternatively, you might use a more complicated clustering algorithm which has a better quantitative measure of the fitness per number of clusters (e.g., Gaussian mixture models) or which *can* choose a suitable number of clusters (e.g., DBSCAN, mean-shift, or affinity propagation, all available in the ``sklearn.cluster`` submodule)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### k-means is limited to linear cluster boundaries\n", "The fundamental model assumptions of *k*-means (points will be closer to their own cluster center than to others) means that the algorithm will often be ineffective if the clusters have complicated geometries.\n", "\n", "In particular, the boundaries between *k*-means clusters will always be linear, which means that it will fail for more complicated boundaries." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### k-means can be slow for large numbers of samples\n", "Because each iteration of k-means must access every point in the dataset, the algorithm can be relatively slow as the number of samples grows.\n", "You might wonder if this requirement to use all data at each iteration can be relaxed; for example, you might just use a subset of the data to update the cluster centers at each step.\n", "This is the idea behind _batch-based_ *k*-means algorithms, one form of which is implemented in ``sklearn.cluster.MiniBatchKMeans``.\n", "The interface for this is the same as for standard ``KMeans``; we will see an example of its use below." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Example: k-means on digits\n", "\n", "To start, let's take a look at applying *k*-means on the same simple digits data that we saw above.\n", "\n", "Here we will attempt to use *k*-means to try to identify similar digits *without using the original label information*; this might be similar to a first step in extracting meaning from a new dataset about which you don't have any *a priori* label information.\n", "\n", "We will start by loading the digits and then finding the ``KMeans`` clusters.\n", "Recall that the digits consist of 1,797 samples with 64 features, where each of the 64 features is the brightness of one pixel in an 8×8 image:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(1797, 64)" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from sklearn.datasets import load_digits\n", "digits = load_digits()\n", "digits.data.shape" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The clustering can be performed as we did before:" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(10, 64)" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "kmeans = KMeans(n_clusters=10, random_state=0)\n", "clusters = kmeans.fit_predict(digits.data)\n", "kmeans.cluster_centers_.shape" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The result is 10 clusters in 64 dimensions.\n", "Notice that the cluster centers themselves are 64-dimensional points, and can themselves be interpreted as the \"typical\" digit within the cluster (i.e., the centroid is a \"digit\").\n", "Let's see what these cluster centers look like:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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KiqRZfuJ5npRLTEw0MwsWLDAzeXl50nnKBqJoWzf8Sn1+b9q0yczs2LHDzKgbgTIyMszM9PS0NMtvlOeuc86lp6ebmdHRUTPT09Mjnaf8vPT19UmzOjo6oj4+MTEhzYkFdUPP3r17zczmzZvNTHV1tXReOBw2M7t375ZmpaSkRH082jXgnSYAACJKEwAAEaUJAICI0gQAQERpAgAgojQBABBRmgAAiChNAABEXiQS0cOe949zruvafTn/M0KRSMS+89nA9ZZxveOPax5fXO/4uur1nlVpAgDw/4x/ngUAQERpAgAgojQBABBRmgAAiChNAABElCYAACJKEwAAEaUJAICI0gQAQPQfpcHkl4Rn7M4AAAAASUVORK5CYII=", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(2, 5, figsize=(8, 3))\n", "centers = kmeans.cluster_centers_.reshape(10, 8, 8)\n", "for axi, center in zip(ax.flat, centers):\n", " axi.set(xticks=[], yticks=[])\n", " axi.imshow(center, interpolation='nearest', cmap=plt.cm.binary)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We see that *even without the labels*, ``KMeans`` is able to find clusters whose centers are recognizable digits, with perhaps the exception of 1 and 8.\n", "\n", "Because *k*-means knows nothing about the identity of the cluster, the 0–9 labels may be permuted.\n", "We can fix this by matching each learned cluster label with the true labels found in them:" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([False, False, False, ..., False, False, False])" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "(clusters==0)" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "from scipy.stats import mode\n", "\n", "labels = np.zeros_like(clusters)\n", "for i in range(10):\n", " mask = (clusters == i)\n", " labels[mask] = mode(digits.target[mask])[0]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we can check how accurate our unsupervised clustering was in finding similar digits within the data:" ] }, { "cell_type": "code", "execution_count": 38, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0.7935447968836951\n", "0.668699122362767\n" ] } ], "source": [ "from sklearn.metrics import accuracy_score,adjusted_rand_score\n", "print(accuracy_score(digits.target, labels))\n", "print(adjusted_rand_score(digits.target, labels))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "With just a simple k-means algorithm, we discovered the correct grouping for 80% of the input digits! " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Comparing different clustering algorithms on toy datasets\n", "\n", "\n", "There _many_ clustering algorithsm we did not cover.\n", "The following example aims at showing characteristics of some other\n", "clustering algorithms on datasets that are \"interesting\"\n", "but still in 2D. The last dataset is an example of a 'null'\n", "situation for clustering: the data is homogeneous, and\n", "there is no good clustering.\n", "\n", "While these examples give some intuition about the algorithms,\n", "this intuition might not apply to very high dimensional data.\n", "\n", "The results could be improved by tweaking the parameters for\n", "each clustering strategy, for instance, setting the number of\n", "clusters for the methods that need this parameter\n", "specified. Note that affinity propagation has a tendency to\n", "create many clusters. Thus in this example its two parameters\n", "(damping and per-point preference) were set to mitigate this\n", "behavior.\n", "\n", "Run the code, inspect the visualizations, and read up a bit on\n", "the algorithms to try and understand what is going on!" ] }, { "cell_type": "code", "execution_count": 42, "metadata": { "scrolled": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Automatically created module for IPython interactive environment\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/usr/local/lib/python3.9/site-packages/sklearn/cluster/_affinity_propagation.py:148: FutureWarning: 'random_state' has been introduced in 0.23. It will be set to None starting from 1.0 (renaming of 0.25) which means that results will differ at every function call. Set 'random_state' to None to silence this warning, or to 0 to keep the behavior of versions <0.23.\n", " warnings.warn(\n", "/usr/local/lib/python3.9/site-packages/sklearn/cluster/_affinity_propagation.py:148: FutureWarning: 'random_state' has been introduced in 0.23. It will be set to None starting from 1.0 (renaming of 0.25) which means that results will differ at every function call. Set 'random_state' to None to silence this warning, or to 0 to keep the behavior of versions <0.23.\n", " warnings.warn(\n", "/usr/local/lib/python3.9/site-packages/sklearn/cluster/_affinity_propagation.py:148: FutureWarning: 'random_state' has been introduced in 0.23. It will be set to None starting from 1.0 (renaming of 0.25) which means that results will differ at every function call. Set 'random_state' to None to silence this warning, or to 0 to keep the behavior of versions <0.23.\n", " warnings.warn(\n", "/usr/local/lib/python3.9/site-packages/sklearn/cluster/_affinity_propagation.py:148: FutureWarning: 'random_state' has been introduced in 0.23. It will be set to None starting from 1.0 (renaming of 0.25) which means that results will differ at every function call. Set 'random_state' to None to silence this warning, or to 0 to keep the behavior of versions <0.23.\n", " warnings.warn(\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "print(__doc__)\n", "\n", "import time\n", "\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "from sklearn import cluster, datasets\n", "from sklearn.neighbors import kneighbors_graph\n", "from sklearn.preprocessing import StandardScaler\n", "\n", "np.random.seed(0)\n", "\n", "# Generate datasets. We choose the size big enough to see the scalability\n", "# of the algorithms, but not too big to avoid too long running times\n", "n_samples = 1500\n", "noisy_circles = datasets.make_circles(n_samples=n_samples, factor=.5,\n", " noise=.05)\n", "noisy_moons = datasets.make_moons(n_samples=n_samples, noise=.05)\n", "blobs = datasets.make_blobs(n_samples=n_samples, random_state=8)\n", "no_structure = np.random.rand(n_samples, 2), None\n", "\n", "colors = np.array([x for x in 'bgrcmykbgrcmykbgrcmykbgrcmyk'])\n", "colors = np.hstack([colors] * 20)\n", "\n", "clustering_names = [\n", " 'MiniBatchKMeans', 'AffinityPropagation', 'MeanShift',\n", " 'DBSCAN', 'Birch']\n", "\n", "plt.figure(figsize=(len(clustering_names) * 2 + 3, 9.5))\n", "plt.subplots_adjust(left=.02, right=.98, bottom=.001, top=.96, wspace=.05,\n", " hspace=.01)\n", "\n", "plot_num = 1\n", "\n", "datasets = [noisy_circles, noisy_moons, blobs, no_structure]\n", "for i_dataset, dataset in enumerate(datasets):\n", " X, y = dataset\n", " # normalize dataset for easier parameter selection\n", " X = StandardScaler().fit_transform(X)\n", "\n", " # estimate bandwidth for mean shift\n", " bandwidth = cluster.estimate_bandwidth(X, quantile=0.3)\n", "\n", " # connectivity matrix for structured Ward\n", " connectivity = kneighbors_graph(X, n_neighbors=10, include_self=False)\n", " # make connectivity symmetric\n", " connectivity = 0.5 * (connectivity + connectivity.T)\n", "\n", " # create clustering estimators\n", " ms = cluster.MeanShift(bandwidth=bandwidth, bin_seeding=True)\n", " \n", " two_means = cluster.MiniBatchKMeans(n_clusters=2)\n", " \n", " ward = cluster.AgglomerativeClustering(n_clusters=2, linkage='ward',\n", " connectivity=connectivity)\n", " \n", " dbscan = cluster.DBSCAN(eps=.2)\n", " \n", " affinity_propagation = cluster.AffinityPropagation(damping=.9,\n", " preference=-200)\n", "\n", " average_linkage = cluster.AgglomerativeClustering(\n", " linkage=\"average\", affinity=\"cityblock\", n_clusters=2,\n", " connectivity=connectivity)\n", "\n", " birch = cluster.Birch(n_clusters=2)\n", " \n", " clustering_algorithms = [\n", " two_means, affinity_propagation, ms,\n", " dbscan, birch]\n", "\n", " for name, algorithm in zip(clustering_names, clustering_algorithms):\n", " # predict cluster memberships\n", " t0 = time.time()\n", " algorithm.fit(X)\n", " t1 = time.time()\n", " if hasattr(algorithm, 'labels_'):\n", " y_pred = algorithm.labels_.astype(np.int32)\n", " else:\n", " y_pred = algorithm.predict(X)\n", "\n", " # plot\n", " plt.subplot(4, len(clustering_algorithms), plot_num)\n", " if i_dataset == 0:\n", " plt.title(name, size=18)\n", " plt.scatter(X[:, 0], X[:, 1], color=colors[y_pred].tolist(), s=10)\n", "\n", " if hasattr(algorithm, 'cluster_centers_'):\n", " centers = algorithm.cluster_centers_\n", " center_colors = colors[:len(centers)]\n", " plt.scatter(centers[:, 0], centers[:, 1], s=100, c=center_colors)\n", " plt.xlim(-2, 2)\n", " plt.ylim(-2, 2)\n", " plt.xticks(())\n", " plt.yticks(())\n", " plt.text(.99, .01, ('%.2fs' % (t1 - t0)).lstrip('0'),\n", " transform=plt.gca().transAxes, size=15,\n", " horizontalalignment='right')\n", " plot_num += 1\n", "\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "anaconda-cloud": {}, "kernelspec": { "display_name": "Python 3 (ipykernel)", "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": "3.11.7" } }, "nbformat": 4, "nbformat_minor": 4 }