{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Lesson 10 - Neighbours and clusters\n", "\n", "> Use distance measures to classify and cluster data." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "[![Binder](https://mybinder.org/badge_logo.svg)](https://mybinder.org/v2/gh/lewtun/dslectures/master?urlpath=lab/tree/notebooks%2Flesson10_clusters.ipynb) [![slides](https://img.shields.io/static/v1?label=slides&message=lesson10_clusters.pdf&color=blue&logo=Google-drive)](https://drive.google.com/open?id=1PZ_Yh3nK1qLVJoLBAc5nMpd2wyFQKKX8)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Learning objectives\n", "In this lesson we will have a look at distance and similarity measures to analyse data. If one can determine the distance between data samples (e.g. between rows in a table, different texts or images) one has access to a range of tools to investigate data and to model it. In this lesson we will have a look at two of them, namely k-nearest neighbour classification and k-means clustering. \n", "\n", "* **k-nearest neighbour** classification falls in the category of supervised algorithms, which we already encountered with Decision Trees and Random Forests.\n", "\n", "* **k-means** clustering on the other hand is an unsupervised method and therefore forms a new class of algorithms. We will investigate how these algorithms can be used.\n", "\n", "This notebook is split according to three learning goals:\n", "1. Understand different measures of distance and the curse of dimensionality.\n", "2. How the nearest neighbours can be used to build a classifier in scikit-learn.\n", "3. Explore a dataset with the unsupervised k-means method.\n", "\n", "## References\n", "* Chapter 6: Similarity, Neighbors, and Clusters of _Data Science for Business_ by F. Provost and P. Fawcett\n", "\n", "## Homework\n", "Work through the notebook and solve the exercises." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "\n", "

Figure: A group of cats is called a cluster.

\n", "
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Imports" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import seaborn as sns\n", "from tqdm import tqdm\n", "\n", "from sklearn import datasets\n", "from sklearn.neighbors import KNeighborsClassifier\n", "from sklearn.model_selection import cross_validate\n", "from sklearn.ensemble import RandomForestClassifier\n", "from sklearn.cluster import KMeans\n", "\n", "from dslectures.core import plot_classifier_boundaries, plot_fitting_graph" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "# uncomment if on your laptop\n", "# !pip install --upgrade dslectures" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Part 1: Similarity and distance measures\n", "\n", "Similarity and distance measures are fundamental tools in machine learning. Often we want to know how far apart or similar two datapoints are. Some examples:\n", "\n", "* How similar are two customers?\n", "* How close is a search query to a webpage?\n", "* How similar are two pictures?\n", "* How far away is the closest restaurant?\n", "\n", "How we measure the distance and similarity influences the results. If the direct, shortest path takes us over a cliff it might not actually be the shortest path time-wise. Also the dimensionality of the data has an impact on the usefulness of the result. When working with high-dimensional data one has to keep the _curse of dimensionality_ in mind that impacts the quality of some metrics." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "\n", "

Figure: Obsolete Russian measures of distance.

\n", "
\n", "\n", "See this [link](https://en.wikipedia.org/wiki/Obsolete_Russian_units_of_measurement) for more information about obsolete Russian units of measurement.\n", "\n", "In this section we investigate how different measures of distance and similarity behave when more dimensions are added. In machine learning this means that we add more features to the feature matrix. This can have severe implications on the quality of distance measure and methods that rely on it (such as k-nearest neighbour or k-means). This is often called the **curse of dimensionality**." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "First lets define a few distance/similarity measures. These functions calculate the distance/similarity between two vectors `x` and `y`:" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "def euclidean_distance(x, y):\n", " \"\"\"calculate euclidean distance between two arrays.\"\"\"\n", " return np.linalg.norm(x-y)\n", "\n", "\n", "def cos_similarity(x, y):\n", " \"\"\"calculate cosine similarity between two arrays.\"\"\"\n", " cos_sim = np.dot(x, y)/(np.linalg.norm(x)*np.linalg.norm(y))\n", " return cos_sim\n", "\n", "\n", "def manhatten_distance(x, y):\n", " \"\"\"calculate manhatten distance between two arrays.\"\"\"\n", " #############\n", " # YOUR CODE #\n", " #############\n", " manhatten_dist= 1\n", "\n", " return manhatten_dist" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we create pairs of random vectors with dimensionality ranging from 1 to 10000. For each dimension, we calculate the distance between the two vectors and store them in a list:" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "euclidean_distances = []\n", "cos_distances = []\n", "manhatten_distances = []\n", "\n", "dims = np.linspace(1, 10000, 1000).astype(int)\n", "\n", "for dim in dims:\n", " x = np.random.rand(dim)\n", " y = np.random.rand(dim)\n", " \n", " euclidean_distances.append(euclidean_distance(x, y))\n", " cos_distances.append(cos_similarity(x, y))\n", " manhatten_distances.append(manhatten_distance(x, y))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This distance can be plotted in a graph:" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [ { "data": { "image/png": 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rLY87+8jf35/MzExZaTmR1prMzEz8/eVbmDCH1pqcwhImzjp7i8yekcEsfXi4BMJF8rgthcjISFJTU8nIyLjgdKWlpXh7e9zHd5rz+8vf35/IyEgTKxIN1Xur9vPST+WHr7myWwvemtgXX2+P+55b7zxurejj41OjYR7klEHHSH8Js506Xcz1767n4In8cu27n7mSxn4etyozjfSkEMKllVpt3PvJVpbvPV6u/c7B7Zg2qqMEQh2T3hRCuKyfdh3laHZhhUBY+vBwOoQHygklTiChIIRwSaVWG/d9+lulr0kgOI+EghDCpeQWlvDz7nQeWXB2gMaekcH0bhPCXUOjycgrkkBwIgkFIYTLyC8qpcf0nyu0/+eW3sSEGfcojwptXN9lNSgSCkIIl/DpbxnM3rS77HnH8EDG9GjFLf3bEBHSyMTKGhYJBSGEqWw2zbL4dGZvOnsw+fN7BhHbugnBjXxMrKxhklAQQpjiZH4xjyzYQRN/b77+/Ui51wa3l5vfmEVCQQhhiu93HmVZfMX7f08fF2tCNeIMCQUhRL3Iyi8GoFljXw5k5HH++UMr7o0luSiAkZ3D6784UUZCQQhRL+6cs5FdR3IY3imMNQlnxybzUnDPJTF4KcVlXVqYWKEACQUhRD3Yn5HHriM5AOUCASDxuauxeCmSk5NNqEycT0JBCOE0ySfy+fVAJo9/vRMwTjNNPJ7HyxN60j4skKISKxYvuRDNlUgoCCGcwmrTPPTlNralnCpre//OOMKb+BHgK6seVyX/MkKIOpeQnsvEWRvItB9cPqNd8wAZosLFSSgIIerE7LUH6N0mhDUJGby5IqmsPbZVE96fFEdooK8EghtwmVBQSsUATwLBWusJZtcjhKi57IISZvwQX+lrIzqHyTAVbsSpoaCUmgOMBY5rrbuf034V8AZgAWZrrV/UWh8A7lZKLXBmTUKIumWzaca//Uu5tgFRzfj7mM7kF1kZGNPMpMpEbTh7S2Eu8Dbw8ZkGpZQFeAcYDaQCm5VS32mt9zi5FiFEHcsuKOHG99ZzKPN0WVvbZgHMu2cgPha5X7I7cuq/mtZ6DZB1XvMAIElrfUBrXQx8AVzrzDqEEM7x4o97STqex/BOYXx172B6tQnh3dv7SiC4MTOOKUQAKec8TwUGKqWaA88BfZRSj2utX6jszUqpKcAUgIiIiFpf8JKZmVmr9zVU0l+O8fT+Kiq1sTQxmwVbj3J1lxAeHREO5PDGNRFQcpLk5JMOz9PT+6yuOau/XOZAs9Y6E7ivBtPNAmYBxMXF6aioqFov82Le2xBJfznG0/rr4Il8vt+exqWdw9h9PId/r06jkY+Fh8b0JKpFUJ0sw9P6zNmc0V9mhMIRoM05zyPtbUIIF7Q6IYN/L9lH2qkCMvOLeXVpAr7eXngp+O2fo2nkazG7RFGHzAiFzUBHpVQ0RhjcCtxmQh1CiBqYNGdT2e9eCmwaikttXN61hQSCB3L2KamfAyOAUKVUKvC01voDpdQDwBKMU1LnaK13X2A2QgiTfLUlpdzzVX8bSWTTRvxnWQKD24eaVJVwJqeGgtZ6YhXti4HFtZ2vUmocMK5Dhw61nYUQohqFJVb+9f0eBsU0Y8MB4yTCNs0aoZTir1d0Nrk64Swuc6DZEVrrRcCiuLi4e8yuRQhPo7VGKcX3O46SW1jKn0d24IY+hZTYbDJMRQPglqEghHCOr39L5alvd9O1VRBbD52kU4tAhrQPleGtGxC5wkQIARhbCP9ZlkheUSmbk0/SNMCXBVOHSCA0MBIKQgiO5xYyb+NhDmed5q+jO+Hv48XkIVE08fcxuzRRz9xy95EcaBaidk7mF+PlpQhuZKzsM/OKuOujLWy33wgnIqQRk4ZEMXFAW5o19jWzVGEStwwFOdAshOO01kx8fwNhQX68cWsf/vLF72w9dBKb1jw2pgsDopvRvXUwvt6yA6Ehc8tQEEI4buPBLPYeyyXxeB6TP9zE3mO5XN87guv7RjAoprnZ5QkXIaEgRAMxb+NhLF4Kq02zIzWbf46N5e5h0WaXJVxMjbcTlVLtlFKX239vpJSqmxGwhBBOl5FbxE+7jvKHgW0JCfChsa+Fm+MizS5LuKAabSkope7BGK66GdAeYxC7mcAo55UmhLgYVpvmo/XJrN+fSYnVRolVc8fgKDq3bIK3lyJIziwSlajp7qM/Y9wcZyOA1jpRKRXutKqqIWcfCVG1UnsALNl9jGe/30N4kB/Hc4sYFNOMDuGBdAgPNLtE4cJqGgpFWuviM5e4K6W8Ae20qqohZx8JUbUnF+5iaXw6wY186BgeyJKHhrM0Pp0uLWWPr6heTUNhtVLqCaCRUmo0cD+wyHllCSFqIyO3iK9/T6XEqsnKL+aVCT3x8lJc2a2l2aUJN1HTUHgMuBvYCdyLMcLpbGcVJYSouV8ST3A46zS3DWzLF5sOU2LVfDApjj1pOVzbO8Ls8oSbqWkoNMK478H7AEopi73ttLMKE0JU73RxKQ99+Tsn8oo5XVzK3PXJDOsQyqiuLRjVtYXZ5Qk3VNNTUpdjhMAZjYBldV+OEMIRH60/xIm8YiKbNmLGD/Fo4OlxsWaXJdxYTUPBX2udd+aJ/fcA55QkhKiJ4zmF/HfNfkZ0DuPjuwYwOrYFn949kI4t5ICyqL2ahkK+UqrvmSdKqX5AgXNKqp5SapxSalZ2drZZJQhhGq01mXlFTPpwM8WlNh4b04WYsEDevzOO2NZNzC5PuLmaHlN4CJivlEoDFNASuMVpVVVDTkkVDY3Wmgc/Nwawy8wvprjUhreXYs7k/nRpKUEg6k6NQkFrvVkp1QU4c2PWfVrrEueVJYQ4168HMvl+x1Eu6xJOxxaBNAvwpX90M/q2bWp2acLDODIgXn8gyv6evkoptNYfO6UqIUQ5c9cl0zTAh3dv74u/j8XscoQHq9ExBaXUJ8C/gWEY4dAfiHNiXUI0WG8tT+Sq/6xhZ6pxzCwl6zTL4tOZOKCtBIJwuppuKcQBsVpr04a2EKIhOJCRx5srErHaNDe+t56b4iLZeywXpRR/GNTO7PJEA1DTs492YRxcFkI40XM/xOPnbWHJQ8MZ0TmM+VtTOZZdyF9GdaR1SKPqZyDERarplkIosEcptQkoOtOotR7vlKqEaIBWJ2SwfO9xHh/ThY4tgph1Zxxaa84MRClEfahpKEx3ZhFCCONYQttmAUweGlXWJoEg6ltNT0ld7exCHCH3UxCeJiXrNFsOneTRqzrj5y0Hk4V5anr20SCl1GalVJ5SqlgpZVVK5Ti7uKporRdpracEBwebVYIQdeq77WkAjO/V2uRKRENX0wPNbwMTgUSMwfD+BLzjrKKEaEi01nzz+xH6RzUlsqkMKSbMVdNQQGudBFi01lat9YfAVc4rSwjPtOtINrmF5QcDiD+aS+LxPMbLvQ+EC6jpgebTSilfYJtS6mXgKA4EihACth7K4sb3fqVLyyA+uXsgYUF+AHy77QjeXoprerQyuUIhar5iv8M+7QNAPtAGuMFZRQnhaYpLbTz+9U7Cgvw4lHmaW/77K0nH8/jk12S+3JLC8E5hNGvsa3aZQtR4S+E6rfUbQCHwDIBS6i/AG84qTAhP8v7aAySk5zH7zjhCAnz444ebufw146S+XpHBPHJl52rmIET9qGkoTKJiAEyupE2IBi+3sISNh3PJVFl0bBHEyfxi3lyeyJjuLbk81rhF5udTBvHl5hSu6xNB37Yhcj2CcBkXDAWl1ETgNiBaKfXdOS81AbKcWZgQ7iQrv5gP1x3kl6QT7EjNxmrTwGEAGvlY8LV4MX18t7Lpu0cE0z1CTqkWrqe6LYX1GAeVQ4FXz2nPBXY4qygh3ElRqZW7P9rM9pRT9GoTwtRL2xPduISQ5mHsS88lMT2PK7u1pEUTf7NLFaJaFwwFrfUh4JBS6nKgQGttU0p1AroAO+ujwMrIFc3CVWiteeqb3fx++BTv3d6XMfYziJKTk4mKasGori1MrlAIx9T07KM1gL9SKgL4GeNspLnOKqo6ckWzcBWfbjjEl1tSePCyDmWBIIQ7q2koKK31aYzTUN/VWt8EdKvmPUJ4tI0HMnlm0R5GdQnn4cs7mV2OEHWixqGglBoM3A78YG+TUbtEg5WeU8j9836jbfMAXr+1N15ecvaQ8Aw1DYWHgMeBhVrr3UqpGGCl88oSwrW9+vM+cgtLmXVHHE38fcwuR4g648jQ2avPeX4AmOasooRwZYnpuSzYmsrkIdF0CA80uxwh6lR11yn8R2v9kFJqEVDh/sxy5zXREL2yZB8Bvt48cJmc/SY8T3VbCp/Yf/7b2YUI4Q62HjrJz3vS+evoTjJWkfBI1V2nsNX+c7VSKsz+e0Z9FCaEq9Fa89JPewkN9OPuYdFmlyOEU1R7oFkpNV0pdQLYByQopTKUUk85vzQhXMuqfRlsOpjFtFEdaOxX02HDhHAvFwwFpdRfgaFAf611M611U2AgMFQp9XB9FCiEK7DZjK2Ets0CuLV/W7PLEcJpqvu6cwcwWmt94kyD1vqAUuoPGFc2v+7M4oRwpndXJTF3XTKjuoYzpnsrBrdvjo+l4vek4zmFfLrhEHuP5fLGrb3x9Zb7SwnPVV0o+JwbCGdorTOUUnJytnBbeUWlvLdqP8GNfPhuWxqfb0ohJMCHK2JbMKZHK5o39mXF3uOs2HucHanZAAxp35xxPVubXLkQzlVdKBTX8jWnkgHxxMX6YtNhcgtL+fTugXRuGcSahAx+3HWMH3ce46stqQAoBX3bNuWRKztzWZdwurQMkvseCI9XXSj0UkrlVNKuANPGAdZaLwIWxcXF3WNWDcJ9lVhtzPnlIAOim9GrTQgAV3RryRXdWlJUamVd0glyC0sZ1iGU5oF+JlcrRP2q7pRUGd9IeJwfdhwlLbuQf13XvcJrft4WLusiw12LhkuOmIkGRWvNrDUH6BAeyMjO4WaXI4TLkVAQDcq6pEz2HM3hnkuiZWRTISohoSAalP+u2U9YkB/X9YkwuxQhXJKEgmgw4o/msDbxBJOHROHnLYfLhKiMhIJoMN5fc4AAXwt/GNjO7FKEcFkSCqJBSDtVwHfb07ilfxuCA+S6SyGqIqEgGoS565PRwF1DZXRTIS5EQkF4vJzCEj7beJire7SiTbMAs8sRwqVJKAiP9/nGw+QVlTLlkhizSxHC5UkoCI9WXGrjw3XJDI5pTo/IYLPLEcLlSSgIj7ZoexrHcgqZcqlsJQhRExIKwmP9vPsYM37YQ+cWQYzoFGZ2OUK4BbmnoPA4eUWl/GvRHr7ckkJsqya8dVsfGfJaiBqSUBAeZeuhkzz85TZSTp5m6oj2PHx5J7lTmhAOkFAQHqHEauPN5Ym8szKJVsGN+HLKYAZENzO7LCHcjoSCcHv7M/J4+Mtt7EjN5sa+kUwfH0uQv1y1LERtuGUoyO04Pcvp4lJe+zmBtOwCmgb40ryxL00b+9KssS9NA+w/Gxvt/j5nB7LTWvPphkM8tzgefx8L793elzE9Wpn4SYRwf24ZCnI7Ts9xICOP+z7dSuLxPKJDG3PqdAknTxejdeXTN/Kx2EPCB6vNGPl0eKcwXpnQkxZNTLtDrBAewy1DQXiGH3ce5ZEFO/CxKD6+awCXdDROG7XaNDkFJWSdLuZkfjGZ+cbPM8+z8o3gyCko4dlru3HHoHZydpEQdURCQdS7EquNl37cy+xfDtK7TQjv3t6X1iGNyl63eCma2ncZIZcXCFGvJBREvUrPKeSBz35jc/JJJg+J4omru8opo0K4EAkFUW9+3Z/Jg5//Rn6RlTdu7c21veWWmEK4GgkF4XRaa2auPsArS/YSHdqYz+8ZRMcWQWaXJYSohISCcKrsghL+Nn87S/ekc03PVrx0Y08C/eTPTghXJf87hdPsTsvm/nm/ceRkAU+Pi2XykCg5S0gIFyehIJxi/pYU/vHNLkICfPjy3kH0aydDTgjhDiQURJ0qLLEy/bvdfLE5hSHtm/PmxD6EBvqZXZYQooYkFESdOZx5mqnztrI7LYcHRnbg4dGdsHjJ7iIh3ImEgqgTy+PTefjLbQB8MCmOUV1bmFyREKI2JBTERbHaNK8t3cc7K/fTrXUT3ru9H22bB5hdlhCilmK0sXUAABYvSURBVCQURK2dyCviL1/8zrqkTG7t34bp47uVG8VUCOF+JBRErWw9lMWf5/3OydPFvDyhJzfHtTG7JCFEHZBQEA6x2TRz1yfz/OJ4Ipo24uv7h9CtdbDZZQkh6oiEgqgRrTXL9qTz2tIE9hzN4fKuLXj15l4EN5I7nAnhSSQUxAVprVmTeIIXvz9I/PEC2jUP4LWbe3Fd7wi85HRTITyOhIKo0vr9J3jt5wS2HDpJi0AfXrqxBzf0jcTHIkNdC+GpJBREBVuSs3j15wR+PZBJiyZ+/OvabgwMt9GpfVuzSxNCOJmEgiizPeUUry1NYHVCBqGBvvxzbCy3D2yLv4+F5ORks8sTQtQDCQXBnrQcXluawLL4dJoG+PDYmC7cObgdAb7y5yFEQyP/6xuwxPRcXl+WwOKdxwjy9+b/Rndi8tAogvzljCIhGioJhQboQEYebyxP5LvtaQT4WHjwsg78aVgMwQESBkI0dBIKDUhK1mneXJ7I178fwceimDI8hnuHt6dZY1+zSxNCuAgJhQYg7VQBb69M4qvNKXh5KSYNjmLqiPaEBcl9DoQQ5UkoeLDjOYW8u2o/n208jEYzcUBb/jyyAy2D/c0uTQjhoiQUPFBmXhEzV+/nkw2HKLFqJvSN5MFRHYhsKkNaCyEuzGVCQSnVGHgXKAZWaa3nmVyS2zl1uphZaw4wd30yhSVWrusdwbRRHYkKbWx2aUIIN+HUUFBKzQHGAse11t3Pab8KeAOwALO11i8CNwALtNaLlFJfAhIKNZRTWMKcXw7ywdqD5BaVMrZnKx66vBMdwgPNLk0I4WacvaUwF3gb+PhMg1LKArwDjAZSgc1Kqe+ASGCnfTKrM4t66fvJ7Dm+Ay/fAPDxB+9GZ396uc9NYqw2zbGcQo5mF1JqtdEsxpfYpgHk+1p47re6XVZhYSH+e+VYRE1JfzlO+swxrb1b81zUc3U+X6eGgtZ6jVIq6rzmAUCS1voAgFLqC+BajICIBLYBVY64ppSaAkwBiIiIqNXwC6cLi9Dahi7IQuWVlK/Zyxvt7Ye2+KMtfsbD2/67l2vsbbNpOJFfwvG8Ekptmib+Flo2a0SAjxfYSigsLKl+Jg4qKan7eXoy6S/HSZ85psC7wCnDz5ixlosAUs55ngoMBN4E3lZKXQMsqurNWutZwCyAuLg4HRUV5XABz0R9TnJyMlFRUVCUByeTIeuA8Th50P77QcjeC+izb/QLhmbR9kfM2UfTaAhqCcq5Q0kXlVr5YlMKb69MIiO3iGEdQnl4dCf6tWvq1OUCZ/tL1Ij0l+OkzxzjrP5yja++gNY6H/hjvS/YLxBadjce5ysphFOHzwbGmdA4uh32fAf6nL1cPgFGOFQWGk0iLmq3VInVxvwtqby9IpG07EIGRDfj7Yl9GBjTvNbzFEKIypgRCkeAc2/oG2lvcz0+/hDWyXicz1oC2SnGFsWZLYusA5CZBIlLwVp0dlqLL4S0OycozgmNkLZgqXx4iVKrjYW/H+HNFYmkZBXQp20IL0/oxdAOzVFO3ioRQjRMZoTCZqCjUioaIwxuBW4zoY6LY/E5u2JnVPnXbDbITSsfFmd+P7QOivPOTqssEBxZbsvC2jSK1RmBvLyxiL2ZpXSPaMIzk7sxsnO4hIEQwqmcfUrq58AIIFQplQo8rbX+QCn1ALAE45TUOVrr3Q7OdxwwrkOHDnVdct3w8jJW9MGRED28/GtaQ35G+aCw/653/Q9VeAoLcJn9UdC0Jf6B7VH7YiDjnK2MptHg38SEDyeE8GTOPvtoYhXti4HFFzHfRcCiuLi4e2o7D9MoBYHhxqPtIMC4D/Ly+OO8tjSBI6fSGNosh7tjoU9gFo3OHARPWAL5x8vPq3GY/ThGTMVdU42aOv3AtxDC87jMgeaGSGvNmsQTvLY0ge0pp2jXPICnbx7Ktb0jsHhVskIvyi1/ptSZLY3kX2DHF+Wn9Q8+u0VxfmgEtnD/wNDa+Pwlp8HiZ+zO8/Y773df9/+cQtQzCQWT/Lo/k1d/3seWQyeJCGnESzf24Ia+kfhYqrxEA/yCoGUP43G+kgI4eeicU2rtj7TfYc+3550p1fjsWVLnh0aTCGP3lyuylsCh9bDvR0j40QjI6nj5QJuBMObFyvutJrSGhJ+MAOp+Y+3mIYSbkFCoZ1sPZfHqzwms359JiyZ+/Ovabtzcvw1+3hd5JbVPIwjvYjzOZy2xn1p7sHxoZCQYu6WsxWentfhC06jy12A0i8G7wBesEVWeKeU0BacgaRnsWwyJy6Ao29gaiLkUhjwIjcON+q3FUFpkfFZrkf15MZTkw7bP4L/Dof+fYOST0Cik5stP2QQ//xNSNhjP80/AwHud81mFcAFuGQouf6C5EttTTvHa0gRWJ2QQGujLP8fGcvvAtvj71MOwGhYfaN7eeJzPZoWctPMu3LPvljq41lipYpw3zEILhLQxQiOgOfiHGCvYC/30C3J8F07WQWNrYN9iOPwr2EohIBS6joPOY6D9SPB1YJC/S/4PVjwHm2fDrq9h9DPQ67YLbxGdSITlz0D8ImN329jXIWk5/PiocU1K3ztqtuyiXIj/3r6Fd861MDu+gkV/gcah0CTSqLHj5ZXPI323cZZaZYHvLHnHjT535laj1rJ7zwUprXX1U7mouLg4vWXLllq9t76untyTlsNrSxNYFp9O0wAf7r20PXcObkeArxvksdbGyiHrACcSNhFqybWHxyEoyDK+xRdml981dT5lMY5vVBce/k3g6A4jDDLijfeGdTFCoPPVENHv4selOrodfvgbpG6CyAFw9SvQurfxObNTjNePboe0bbB/hbH1NfQvMPjPRgiVFsHnE43XbpwNPSZUuai0LT/Q+siPRgiV5Bshes9KaNrOCOF3BhkB26IbpGw0+vnupeWDoygXVsyAjf81Tip4aKdxrCT5FyPoQ9pCk9bGtKezYNs8I7A7XmFs8eUegyatKhZ3YBUUnISu15Zf6W/+ALZ/DuPfhncHQu/b4bp3jdcSlxpbX12ugeJ8+Gi8sfwhD0JEX+NCz2M7YfdCiBkBna4wvnD8+o4xn8b2Cy1Li4w6W3SHnx43dgEOvA/Cu5LcqDtR7doZQVFwyvisKRuNLVYvH2M3aHAEHN4AV9rH/Mk/AX5N4Pgeo2+Vxfi32vMNtBkERTlwbBe0G2K894zULUY/thlgvHauM+vE8wOrtNj4Gzzzd3hkK4R1Bd8AyM80lutjH7vJWgLaBnnpRj/ZrICqGLK56cZJJ0pVvdzKaE3yoUO1XocppbZqreMqfU1CwTkS03N5fVkCi3ceI8jfmymXxDB5aBRB/u55H+Qq+0trY+VVeMoeEjX8WXCyYqAoi/EftPPV0Pkq+zUgdcxmM1Z8S58ygi2yP5xIMOo5U0NYF2PFNuxhCAwr//7i0zBvgrFiuuUTYyV5rowEYwtj7/fGFkX3G6DDaPhumhECdy2B/90NB1bD1HXG1lvuMZg1wliRT1kFAc2McPpqkrHS7HSVcQxl3JtgK4Ef/u/s8pq1h+hLjKA6ddhoi73WWCEueRy6TzC2atb827g+ZuB9xsq4IMvo59xjUFoIoR2Nle75YkbCbV/CjHDj+RNHYd1/YPVLZ6cZ/giseeXsc+VlbP1kHy4/r5C20LqvscKu7J/GJxCvkjzjM2Xtr3QacdbxS18ifOR9tXqvhEIlnBUKB0/k88ayBL7dnkaAj4W7hkXzp2ExBAe4Zxic4ZT+OjdQCrON6zoaOX8cJ8AIplUvQupm49t6q17Qqje0iDW2EC6kKBc+vg7SfoPQTtC8g/EzP8M4fuETwMlud9L0ysfOXkuStAzm3QTNO8KJfXDl88YWyBmpW+DDMeAbaHzjTd9t7L6Z8AG0HQyzLjX66PRJaNUThj0EGfvg4BpIXmdsjd04GxJ/hl9eMwIpqCVkHzGOsfgHQ1AryNhrLK/HTbBzvrECbzMIjm6D3rcZu+q2zoWIOOO4zdpXja20I1vL90Fkf4gaBr9/anxuUe/yo66k8eSvavVeCYVK1PVKLiXrNG8uT+Tr34/gY1FMGhLFvcPb06yxb50tw0wyWNl5Ck4au0bS90BmorFbDQVxd8Glj5KckVexv359B5Y8Yey6uuunirvDkpbDrv8Zuxwah8MVM87udtn1NSz4o7E1MXW98c3+DGupsXL38jK2ZN7qB7lH4b61RhAkLDG2wHwCjN1CQa2Meax6wQjivnee3b+vNRzbYUwTGG4E56oXjOWExxq7aYJaG1tJkXGQuhW+ugNyzhmp5u5lRjgVZhtnv50+ATfNhZXPG7vmRv3TCMGoYcZW0xXPQeIScvxa0cTPy9i68fKCdkONXVLN28Oih4zgbTvI2KWW9hs8kWYEtH+wEY5hXWD5s7BrgbHL6sxuqvRdRl0te8D1/zXmlbrpnI5XlA18efMnsPl9Y34AN8w2ftpKjbD+fZ4x/9LCst1eJK8zdhud2f0IMOh+Y5dhoxBjN9XuhUb7iCeMz2azGssoLTwbuB1GG18YIvoZXwS2fWYc5ystNrZcj26HbtcZ0wa2IDnyOtl9dD5XCIW0UwW8vTKJrzan4OWl+MPAdkwd0Z6wIL+LnrcrkVCohrXE2F/uZ9zYqNL+0trYddJ2sPEt3qH5l8JnNxvHCwZVs8vgyG+QuR963lTxtVOHwcv77LGImkhcBptmGUGgLGCp4njYqpeg7UBjBXaG1sa+dS+LsSJUXuX3mVtLy+ZX47+x0mJjZVrZFf1aG5+xabuzbTYblBY4dnKCG7iY/5MXCgU3ONpZkSucfXQ8p5B3V+3ns42H0WgmDmjLn0d2oGWw3CSkQbL4VH+6rlLQ7fpazt8b7vi6ZtNG9DUelQlp6/iyO15e9ZlR5xrx94ptShlBApWfKFBVwFyIt6/xqIxS5QMBjG/mHhYIzuSWoWDmMBeZeUXMXL2fTzYcosSqmdA3kgdHdSCyaUB9lyKEEHXOLUPBDKdOF/P+2gN8uC6ZwhIr1/WOYNqojkSFyjcQIYTnkFCoRk5hCXN+OcgHaw+SW1TK2J6teOjyTnQIDzS7NCGEqHMSClXILypl7vpkZq05QHZBCVfEtuDh0Z3o2kqGqxZCeC4JhfMUllj55NdDzFy9n8z8YkZ2DuOvozvTIzLY7NKEEMLpJBTsikqtfLEphbdXJpGRW8SwDqE8PLoT/drV08VUQgjhAhp8KJRYbczfksrbKxJJyy5kQHQz3p7Yh4Exzc0uTQgh6p1bhkJdXKdQatPM35LCmysSSckqoE/bEF6e0IuhHZrLfZCFEA2WW4bCxV6nsGxPOs98m0RKdjHdI5rwzORujOwcLmEghGjw3DIULlZ6biHeFsXMP/Tjym4tJAyEEMKuQYbCLXFtGBxuIybawfFnhBDCw7nozXidy9vihZdsHQghRAUNMhSEEEJUTkJBCCFEGQkFIYQQZdwyFJRS45RSs7Kzs80uRQghPIpbhoLWepHWekpwsIxHJIQQdcktQ0EIIYRzSCgIIYQoo7TWZtdQa0qpDOCQ/WkwcP5BhvPbzn0eCpxwUmmV1VJX77vQNFW9VtP2htZfF3rd0b+n859LfznWX+C8PpP+qqid1jqs0le01h7xAGZV13buc2BLfdZSV++70DRVvVbT9obWX472mfSX8/rLmX0m/eXYw5N2Hy2qQVtl0zhDbZdTk/ddaJqqXqtpe0Prrwu9Xpu/J+mvC7dJf1243SX6y613H10MpdQWrXWc2XW4C+kvx0h/OU76zDHO6i9P2lJw1CyzC3Az0l+Okf5ynPSZY5zSXw12S0EIIURFDXlLQQghxHkkFIQQQpSRUBBCCFFGQsFOKdVYKfWRUup9pdTtZtfj6pRSMUqpD5RSC8yuxR0opa6z/219qZS6wux6XJ1SqqtSaqZSaoFSaqrZ9bgD+zpsi1Jq7MXMx6NDQSk1Ryl1XCm167z2q5RS+5RSSUqpx+zNNwALtNb3AOPrvVgX4Eh/aa0PaK3vNqdS1+Bgf31j/9u6D7jFjHrN5mB/xWut7wNuBoaaUa/ZHFx/Afwd+Opil+vRoQDMBa46t0EpZQHeAcYAscBEpVQsEAmk2Cez1mONrmQuNe8vUbv++of99YZoLg70l1JqPPADsLh+y3QZc6lhfymlRgN7gOMXu1CPDgWt9Rog67zmAUCS/ZtuMfAFcC2QihEM4OH9UhUH+6vBc6S/lOEl4Eet9W/1XasrcPTvS2v9ndZ6DNAgd+c62F8jgEHAbcA9Sqlar8O8a/tGNxbB2S0CMMJgIPAm8LZS6hrq7/J7d1BpfymlmgPPAX2UUo9rrV8wpTrXU9Xf14PA5UCwUqqD1nqmGcW5oKr+vkZg7NL1o+FuKVSm0v7SWj8AoJSaDJzQWttqu4CGGAqV0lrnA380uw53obXOxNg/LmpAa/0mxhcPUQNa61XAKpPLcDta67kXO4+GuJvkCNDmnOeR9jZROekvx0h/OUb6yzFO76+GGAqbgY5KqWillC9wK/CdyTW5Mukvx0h/OUb6yzFO7y+PDgWl1OfAr0BnpVSqUupurXUp8ACwBIgHvtJa7zazTlch/eUY6S/HSH85xqz+kgHxhBBClPHoLQUhhBCOkVAQQghRRkJBCCFEGQkFIYQQZSQUhBBClJFQEEIIUUZCQTQISimrUmqbUmq3Umq7Uur/zgwappSKU0qZMgSFUmq9GcsVoipynYJoEJRSeVrrQPvv4cBnwDqt9dPmViaEa5EtBdHgaK2PA1OAB+xDWo9QSn0PoJSabr8D31ql1CGl1A1KqZeVUjuVUj8ppXzs0/VTSq1WSm1VSi1RSrWyt69SSr2klNqklEpQSl1ib+9mb9umlNqhlOpob8+z/1RKqVeUUrvsy7rF3j7CPs8FSqm9Sql5Sillf+1FpdQe+/z+Xd/9KDyTjJIqGiSt9QH7DUvCK3m5PTAS4yYmvwI3aq0fVUotBK5RSv0AvAVcq7XOsK/AnwPusr/fW2s9QCl1NfA0xpDZ9wFvaK3n2cessZy3zBuA3kAvIBTYrJRaY3+tD9ANSAPWAUOVUvHA9UAXrbVWSoVcdKcIgYSCEJX5UWtdopTaibHy/snevhOIAjoD3YGl9i/tFuDoOe//2v5zq316MMLlSaVUJPC11jrxvGUOAz7XWluBdKXUaqA/kANs0lqnAiilttnnuQEoBD6wb+V8f/EfWwjZfSQaKKVUDMZtVyu7fWERgP1GJSX67IE3G8YXKQXs1lr3tj96aK2vOP/99vl72+f1Gca9vwuAxUqpyxwot+ic360YWyKlGHfhWgCM5WxwCXFRJBREg6OUCgNmAm/r2p1psQ8IU0oNts/PRynVrZplxgAH7Dfb+Rboed4ka4FblFIWe33DgU0XmF8gEKy1Xgw8jLHbSYiLJruPREPRyL7rxQcoBT4BXqvNjLTWxUqpCcCbSqlgjP9H/wEuNITxzcAdSqkS4Bjw/HmvLwQGA9sBDTyqtT6mlOpSxfyCgG+VUv4YWy5/rc1nEeJ8ckqqEEKIMrL7SAghRBkJBSGEEGUkFIQQQpSRUBBCCFFGQkEIIUQZCQUhhBBlJBSEEEKUkVAQQghR5v8BsPGlhGXWtxYAAAAASUVORK5CYII=\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.plot(dims, euclidean_distances, label='euclidean')\n", "plt.plot(dims, cos_distances, label='cosine')\n", "plt.plot(dims, manhatten_distances, label='manhatten')\n", "plt.ylabel('Distance')\n", "plt.xlabel('Dimensions')\n", "plt.legend(loc='best')\n", "plt.yscale('log')\n", "plt.xscale('log')\n", "plt.grid(True,alpha=0.5)\n", "plt.show()\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Exercise 1\n", "Implement the Manhatten-metric and add it to the scaling plot. The mathematical definition of the Manhatten-metric is:\n", "\n", "$d_{Manhatten}(\\vec{x},\\vec{y})=\\sum_{i=1}^{n}{\\mid x_i - y_i \\mid}$\n", "\n", "Use the plot to investigate the following questions:\n", "\n", "* How does it behave compared to the other two metrics? \n", "* What do you observe when you plot the y-axis on a linear scale (comment the line `plt.yscale('log')`)?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Part 2: k-nearest neighbours" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Iris dataset" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The iris dataset contains the sepal and petal width of three species of flowers. The three species are Iris setosa, Iris versicolor, and Iris virginica. It is one of the most iconic datasets in machine learning and has been around for more than 80 years! It is still widely used today because of its two features it is easy to visualise and study different algorithms on it. Going beyond 2 or 3 dimensions is very hard to visualise and we will study some methods in the next lesson to break down and visualise high dimensional data. For visualisation purposes we'll use the iris dataset in this lesson to investigate the \n", "\n", "
\n", "\n", "

Figure reference: https://en.wikipedia.org/wiki/Petal#/media/File:Petal-sepal.jpg

\n", "
\n", "\n" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "iris = datasets.load_iris()\n", "X = iris.data[:, :2]\n", "y = iris.target" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### k-nearest neighbours classifier\n", "\n", "The k-nearest neighbours classifier uses the neighbours of a sample to classify it. Given a new point, it searches the k samples in the training set that are closest to the new point. Then the majority class of the neighbours is used to classify the new point. \n", "\n", "#### Example\n", "Let's assume you are given a new flower and want to classify it using the iris dataset. You measure the petal and sepal width of your flower and compare it to the dataset. You decide to do a k=8 nearest neighbour search. You find that the nearest samples are:\n", "* 5 Iris setosa\n", "* 2 Iris versicolor\n", "* 1 Iris virginica\n", "Based on that observation you decide that your flower is a **Iris setosa**.\n", "\n", "#### Tips & tricks\n", "* Make sure all features are scaled properly (e.g. see `sklearn.preprocessing.StandardScaler`)\n", "* Use odd number for k to avoid ties\n", "* Voting can be weighted by distance\n", "\n", "#### Usage\n", "The `KNeighborsClassifier` interface is the same as the one we have already seen for the Decision Tree and Random Forest classifiers. When initializing the classifier one has to pass the number of neighbours `k` and can then use the known `.fit()` and `.predict()` procedure. We introduce the `plot_classifier_boundaries` to study the behaviour of the classifier more closely. \n", "\n", "> Note: The `plot_classifier_boundaries` function only works in two dimensions." ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [ { "data": { "image/png": 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RxUiTDJbpyWxlA800MpW5TJKBrXteobvZxiZ8dDCBfGayELcM7SmKVshj5/5HGvnxr6uob/Rz2ofTufYXE0hNdZ4ZjrR/ohu9r9z0a5u+RQ2VLGQ5x/AxMhnD6zwzoFjpksliOY5lctKAi3mdVvMO65nDYpZxEu208S4bBhRroKyYx86a9a1844oKrv/tRF55uJjK6k6+fWVl1PqPBjZCN472UUYx0xgjEwCYrYt4lSfjlk81+ylgSnc+M3UBa3ku5tu1Ij40nniuia+cncUJx6QB8MerJnDsGc7LMkfafzSwEbpx5MZNM43dj1toiuvBTDceWnqcHdNCEx6SYrpNK+ZDJyvDxY6yg8sy7yjrIDvTeTot0v6jgcTrdPEsGatHyslx2bYJT4PWspbnGEseaaRTzvuMZQILZHlc8unQdl7nOTLJIZU09rCT2SxmohRGfVtWyIdebV0ny08vY8F8L1OKk7jprnr+es1EPnVqRlT6Jwp3/nvrVHVpqOesoJs+7dCtvM8mFCWdrMCFQeI8U7dPd3UftBxPPrNZjEc8ju2R8mkHe9iJjw7GkUe2jB3My+u2/dqjDnm87fN/j0pcE5m6+k5uvrueugY/H/tQOssWpUS1fyKwgm4GpFar2MhqFnAMqaSzlTdw4WGehPxbcuxfSElEcYZa72IOVtDN8NVXQbc5dOMocBCyhGwZS7J4mcHhVLMv4v6RxhlKoYq5MSOVneViHCWRTC1V3Y+baCAJ5wW1nPpHGifWrIibRGUFfYRRVaJx7xCnOD3bCyhhDzt5U18hhTT2UcY8nKdJnPrnMD6iOLFkxTwy0fp7M0PDCvoIsVt3sI1NdNLBeM1nLkvxSOSn7DnFcWpfqh9iH7vw0cFijiNTchxj99U/kjixYsU8fP+6s44f/aq6+wrMG/84kaxRfkrgSGAHRUeAA1rJJl5jEceSEjyoqCjzZVlU4hQyJSrxh6uBFPLRfFD0hVea+dJl+3n4tgKmTErish9V4PPBrX/Ni3dqhr4PitoIfQSooYICJpMh2QBM03m8xrNRi5NKelTiDzc2Ih+Y515u4fzPZ3HYnMBdxa76wTiOPm10X4E5UthZLiNAMl4aqafr01QjdSQP4BZ+TnGiFX84sWI+cBPGudn0Tlv338Omd9oZP9amW0YCG6GPAAWUsJdS3mAVqZpOBeXM58ioxclhHHspZR0vkqrpVLHnkPh+9ePH/4ELgVQVRXHJ4MYF0YoDVsij4ctnZXHLPfWccvYepkzycP8jTdx+vU23jAT9FnQRSQFeBLzB/itV9ae9+lwA/I7AvUUB/qKq/4xuqqOXWzws0ROpoBwfHUziRNIlK6pxvJpGFXuppZJkUkglHYCN+iqV7EXx49VUlnACaZJBmW5jG5vw08lYzWU+y0gawD1CoxUHrJhHS1qai+cfKGLlw43UN/j55kVjmDMzfqeZmvCFM0JvA05S1UYRSQJWichjqrq6V7+7VfUb0U/RALjFHZWbQoSKs0PfoZYqjuajpJDGO6znDV6iQKdwIET7bF1MKe9yJB8mhTS28gbvsJ7DiKygVuv+qMQx0Zea6uK8z0U+aDDxFc5NolVVu5bcSwp+2Q2gE0g1+yhkCmmSgUtcTGUubbQ6ttdSRT6Tu9unMIcDPS4cCle04my/9igbnRtDmAdFRcQtIhuACuApVV0TottnRGSjiKwUkWKHOCtEZK2IrO2gbRBpm2hKJoV6aroPgjVQiwt3n+0NHDikPZnIF0WKVhxjTEBYBV1VO1V1IVAELBOR+b26/BcoUdXDgaeAmx3i3KCqS1V1adIIP4siHvzqp1N9Yff3qY92be2332wW00Adr/EsG3U1b7GGqczpbl/DM7ypr3S3F1BCBx2s5Xne0jW8zVpmsSDifLrirOMFNuvrYceJFu3sxN8W/sDC51Oamv1htw8X0+/5GtPv+Vq80zBDIKKzXFS1VkSeAz4ObOrRXt2j2z+B30YnPdOlVN9lO5sBJVvHcRhHkSzOb4ob9OXuBbCS1MsSjnc8kJosyWRqDjXsp4EDeEhiHLkkSzKTdBrv8w5N1JNBFnlMwi1uJmg+7/M29RwgizGk0/d8q1M+S/R4KtmLjw6mMIc0GZq1rOuefZ4Djz4BKN6SyUy84Eu4M9Id+//hbwe48jfVKHD0khTu+ns+48e5HduHo66iPpovmkp0/Y7QRWSCSOA6bRFJBT4CvNOrT36Ph2cAW6KZ5GhXpfsoZzvH8DE+xKfIIJstrHfs/75uoZ4DLOcUTuLTTKSQN1jVZ/9G6jiWUzmZz5DHJN5gFVW6jz2UspyPcxKfIofxbGE9VbqP3ezgmGB7FmMGnI9L3ORKEYUyZciKefOWd6hf9SpF//s/TP7t1STn51N190rH/o8/28T1/65jy6rJ1G+bxvzZXi7+wX7H9uHORuyJK5wpl3zgORHZCLxOYA79YRG5SkTOCPb5pohsFpE3gW8CF8Qm3dGpjmrymESKpCEiTGYmdVQ79q8JLlfb1b+EWbT3cczCqb/TdmOdTyQGcjC0bUcpGUsX4RmTg7hcZJ98Im07dzr2X72ulS9+OpPiwiTcbuF7l+Tw6tpWx/aRoquwW3FPHP1OuajqRmBRiPYre3x/BXBFdFMzXbykUsnu7pXv6qjB28fBQy+p1FJ1SH83ztMATv2dthvrfGLNnZ1F88ZNqN+PuFy07SzFneU8ZZSf6+E/jzXi9ysul7B6fSsFuR7HdmPixRbnGgH82skbrKITHymkc4BKFnAMOTIuZH+ftvMKT5CEl1TSqaGCmSygSKb22d9DMimkcYBKZrGQAib32G4aB6hiAceQRU5M8wnXQE9VVJ+PfX/7B9rejmfMGFq2bSf3oi+TMqWku0/Peea2Nj+nnbOHpmY/k4qSeOGVFh74dz6LD/Ny2jl7aGzyU1yYxEurm3ng3wUcvTR1UK+rt5oDPiqr/cyY6sHlivxq2nBG4DavPnLY4lwjnEvcLNLjqGE/PjqYyeGkSJpjf48kc4yeQilb6aCNJRxPtkOx7epfoFMpZSttNJNGBhMowCVucnQCO3mHRupJI4NU0mOeTzgGc965eDzkfX0FLe9sxd/SythPnoFnjPNyvl6vi8fuLOTJF5qpq+/k9z8dT3FhYOliBdZtbGPD5jbS0lxkZkR3eaSPfaGc519pIckjpKcJz9xXxPzZdoaYCc0K+gjhEhfjye+/Y5BHPExjXlh9K3UPFZRxLKeSjJdtvMUW1lGoU9jPrg+0L2R5TPPpTzQuIhK3m7R5c8Pun5QknPbhQ8+C+elvq3jv/Q7K3phC7gQ33/15Naedu5fStSWDzq8r/tZtHZSuC8T//s+r+MR5e9jx+pSoxDeJx1ZbNNRzgFyK8UoKIkIx06mnxrHdBDz/SgsXnJVF3kQPIsJ3VmRTUxP+dQL9eeGVFs7/QmZ3/MtX5FBV3Rm1+CbxWEE3pJBGLVX4NXBxTC1VpJDm2B4vw+0S/ymTknj6xRZ8vsBxqBdXt5CaGr3/UiWTknjmpUPjp6fZ7eCMM5tyiaMObacTH15Sw7pvo1P/Fm2inVYyGTOgJWjzmUwFu1nD06RoGvUcYBHLySCHCnbzGs+QoqnUc4CFLI84fjQMppB3NregbW24s7OQARxUdHLdNROZubyU2ceWUlSQxNoNLVx/zcTu50vL2tlX0cmSBV48noPbra3rpKHRT2G+B5fL+fd+3TUTmXPsTuYeV0pxgYfX3mjluh7xneI4tUe6H8LN0wwfVtDjQFXZzmbK2IY7eG7JQl1OioQ+O8KpfzJe1vEi9T1OA1ykx5MtYyLKRxAyyOYAFbTRQjKpJJOKS1ws1OUcoBIfHcxhKV4Z2rVWBlPIVZUDjzxO/YurcHmTcWdmkrviQjw52VHJLS3NxftrJvPnG+uorO7kT78cx+FzU/D7/ZzwqT2s3dBKaoogIjx5dwGLD/fyk2uq+fONtWSku8ib6OGhWwoozA/93zAtzcV7q0u64//xF+M5fG4KqhoyTkGeO2R7pPvBKb5Tnmb4sNMW46BCd7OdzSzhBJJI7r6EfpEcG1H/DLLZTxnLOJkkktnOZvZSynFyWkzzibVoTas0bdzEgUceI/+yS3Clp1H72BO07Son7+KLwvr5gZ7Kd8Wvqrj7wUZee6yYcWNd/O81Ndx6bwN//tV4fnJNNc/dX8S4sS5+9rsa1r7ZyiO3F0YU/z+PNYaM89Vzs0O2r5/y+X73Q8/X6hQ/0jxNbPR12qLNocdBA7VMpJBk8SIiFDKVBg5E3L+OavKZ3N1exDQ6aI95PrES7Tny9vJy0hccjjsjHREh85ijaS/f3f8PBg30CspXXm/hvM9mMn6cGxHh0guyqa318cZbbXzm9Izu9hXnZfPGW5FfMesUx6k90v0QrTzN0LPPUHGQSjp72Ilf/bjERQ37u+8QFEn/NDKoZh9TdA4ucVHNPtwD+JVGmk84hsPBS8/YsTS+thb1+RCPh5at7+IZNzaiGNPv+VrEI/XpU5J47Llm/vfysSQnC08+30xamouSSR5uubuB9nYlOVl46sVmpkxKCrnNULrycIrj1L4twv0Qbp5m+LEplzjwq5+3WE0T9XhJpYkGFnEsmRL64pau/o3B/s3B/qlksJonURQvqTRSx1yWkhdcjr5NW/HREbwY6OCHsQatpY1WchiPRzwR59Of4VDMIbA8bsW/b6Vj337c2dl07K8g9+KL8BYWDDhmOMW9tdXP7ON20dHuZ/w4D9t3tHHT/8vjU6dm8IUVe3n73XaK8j1sea+dR24vZMG8Qy8U6l3Qm7e+h6+mhvSFh7Pj/Fvw+TRknHmzkvnCir2s29hKTpaLikofj91VzKc3Xtrvfuj5upzi987TxEdfUy5W0ONEVamjBh8dZDGmz6VwVZV3eZM97MCNBw9JLOI4UiUdv/rZw07aaSOXItIlE1XlPTayh50kkYwLFws5Fi+prOU5GqnHgwc/fhawnDEyPqJ8nAyXQt6T+v20le7C39qKd1Ix7vTQnzy2ff7vYU+x9FfUVZXvXFnJTXfVk5XpIjXFxZN3FzK5OAm/X1mzvpW6ej9HLExh3NhD17TpmUNnZyeVv/oFNDWRkeGiqVlJ/8I57Lt6dcg4nZ2dTFlWSk2Nn8wMF80tfm66NpcfNH+v3/3Q+zX1l6eJH7v0fxgSEXII7/L3CnZzgEqO5TSSJJkduoUtrGMxx+MSF0VM/UD/GipYzimH9M8gmw46OK47zttsYjXHcXpE+YQyHIs5gLhch6zR0ttADnz2Nw1z3yONPP9KCzvXTiEn282v/18NK75XwRN3F+JySdhrvVTe+G/yM9t4/eVAnF/8sYbf/+1Opi+8JmTun/ryPlK9Lso3TCYn282v/ljNiu9XULXl7915hyuSPM3wYQV9BGikjgkUkCSBO6/nU0IZ2yLu78dPHsU92qewg62Dzm+4FnMnsV6I6q232znz4xnkZAdGtV/6fBZ/vrHWsb9ToW3fs5cvXpDZHecrZ2Xxmz/VHPJzPV/LxrfbOP/zWd39Lzgrm1//+eDB7d6fQmxBrsRjBX0ESCWD3bxPic7GLW6q2EsqzjeDcOqfRiZV7O3RvgfPIP8EhlsxHw5FalpJEv+4rY4fXjaGlBQXjzzdxPSSyA8qesaN5aEn93DFNwNxHn6qCXfSwWMhvV/r1ElJPPxUM1d80x/s34g36dALgobD/jGx0+//ZhFJAV4EvMH+K1X1p736eIFbgCVANfAFVd0Z9WxHqBZtwkcHaWTiFne/7b3lM4lq9vEqT+DVFFppYRHO54h39X+ZR0nSZDroYDHHkUYmr/Ikq3iUZPXSShPzWBZxPgPVUV2Nv7WNpIkTcCX1X+Batm2ns6GR1FkzcKcdXHIg0jgvrm5mf0UnHzkhlZzsg3/yO3Z1UN/gZ9a0JFJSDhZKp+321Ne0yzmfyeSJ55uYe1wpBXkeyvb4ePSOgwcg736wnrJyH+d+LoO8icmOryv3axex7Zc/p2jRDsZku9mzv4O0U8/s3m7v/B+5vYCSpaWULN1J7gQ375d2cPX/9n9Wj9N+cGqPlnhtN5GFMzxrA05S1UYRSQJWichjqrq6R58LgQOqOl1EzgJ+A3whBvmOKKrKO7xBBb4SCHUAAB/5SURBVLtJxosfP4v0WFJJD9nudAs2EWG+LqOROnx0kEkOHnEuZIrSSD2ddOKik058tNNGOlnkMJ4KyumgDQ9eMsh2zDNat4RTVarvvZ+mNzfizshAfZ3kff0iksaPD9nf7/ez5/d/xFdVgystDX9zM7kXXUDKjOkRx1n04XJKyzrIyXZTW9fJAzflceLyNC79YSX3P9LIhHFu2juUR+8owO/3U/OH38OBKrKz3VTd6yfrgotInTkjotfrdgu3/TWPNze3U1ffyaLDvGRlBg5aTl5SSmOTnzHZbq76Qw3X/2aC4/7ZcfG9LLxR2VWutHcoHreLe85+HdXQ+U8rSWbPxsn8/ro6du/1cdcNecyZ0ffB9lBxpk5OcowfDfHa7mgQzh2LFGgMPkwKfvU+NeZM4GfB71cCfxER0XidQjNM7KecempYzsfxSBKl+m5gWVqmhmxfwgmOsUSETMI7jfBdNqL4OY7T8EgSO3Urm3iNmSygkdru9sHkE4mmNzbQVrqL4p9cgSslhbpnn6fqrpXkf+PikP1rHngQfJ1MuuonuFJSqH3mOSpvvZOxn/pERHG+/ZMqOjqUsjemkJnh4nfXHeDcSyv4v5+P5/U3WnlvdQmZGS7+8LcDXPz9CmpcD1LgrWVNj/5XX3cLqVf+IuLXLCIsnH9oMT393L1kZ7nYsiqw3d9fV8O3flKF58zQ++fbu6vw+aDsjalh5f/UvUW43W7+57LwzrW/+8HGkHEuPCfbMX40xGu7o0FYn2dExC0iG4AKAvcUXdOrSyFQBqCqPqAOBnHKRIJoop7x5HePpnMppol6x/ZoaaSWXIq64+cxCR8dccunY99+0ubNxZUSWAcmffEiOvY530y5vXwPaQsP7+6fsWQx/taWiONs2NzG5z6R0X3TiS9+KpP6hk62vNvOaR9J727/wpmZbN7aTsfu3R/o39EcvSsk33mvnc+efjD+2Z/KorVNHV9XpPlHyilOtOIPt+2OBmEVdFXtVNWFQBGwTETmD2RjIrJCRNaKyNqOKN0keDhLJ5Nq9tGpgTWyK9hNGpmO7dGSQRYV7O4RvxwPnrjlkzRxIs1b3sHfHvjP2bTxLZJyJzj2Ty7Ip3njpoP939yIpKREHOewOcnc/2gTzc2B5X9XPtxIRoabWdOTePzZg+0PPNrI7OnJJOUXfKC/JzXyj/s9b77c86ySGdOSeaBH/PseacCbLI6vK9L8I+UUJ1rxh9t2R4OITnFQ1VoReQ74OLCpx1O7gWKgXEQ8QDZ88DbwqnoDcAMELiwaaNIjRS7F1FDByzxOsqbgo51FHBe8ZL+Cl3mMZPXiw8cijovadmeykDU8xUs8QpJ6aaeVwziKceQ65hOqPVrSFy+k5d1tlP/iGtyZGfhbWsj7+grH/mM/dQZ7fvdHyq78Ba70dDob6pn45fNJnTWD5q3vUfazX+FKS0V9PvIvcT63+tpfTGDBSWUUL97B2DFu9ld2cu8/8vjICWk8+1Iz04/aycTxbuob/Dx+VyEfX3MGZX/YStGiHYwd62F/hY/ML10IBOZ9O/bvx9/aRnJ+Hi6vt7t9y7vt1Df6OWyOl/Q01wf6T731At4/7988fGs+JUtLKV60g3Fj3eyt8HHtLyZwtWshLe++R/lVv8aVkY6/tY38S1Zw7cUrnfNf1cLMY3aSO8FDbV0nj90Z+cJZZ30yM2Sc6VOSHOM7vd5Yb9eEJ5yzXCYAHcFingp8hMBBz54eAs4HXgU+Czw72ufPITCPOkeX0EwjPjrIIAu3eFBVFD8K+FH0A4ckBsclLo7Uj1BDBW20MoE8koPL3obKp6/2aBCXi/Fnfw5fZRX+lhaS8vNwJTuPvMTlIqmoEF99A9rZiaSm4hkbXBJY/YjbjSs5mU6fj95/Zj3PPvF4XLz1fDFPvdDCvgofp304naOeuRS9x0/l9rtpadlKdXUa2tHOhx/9AkkTXHTmT6bxQAuNdV402c+YsWNQv5+qO++hZet7uLMy8Tc1kXvxV/H7lQu/vZ9nXmohb4KbqppAAQrVf1LtV9l12QOUvTGZf9/dSNnuDr5ydhYnvXIZ+P2o3x/4u+j0A4qqhsx//LjA7+Uf/zeR997voK7Bz7yZyaQNoLC6XOIYJ1S70+udFeEoOtLtmvCF8782H7hZRNwEpmjuUdWHReQqYK2qPgTcCNwqItuAGuCsmGU8wogI6b2mL/ZRRjONHMspuMVDmW5jC+tYyolR227gnp95YeXTV3u0iAhJE52nR3pqWr+BzsoqJv38x7iSk6l/6WWq715J5jFH4auopOgnPzykPf+blzjGcrlcfOxDh17m3rR+A76KSop/+qMPxHfabsf+Cop+/D+HtN9Z0MTWbR28s2oyaWkurruplou/X0HTjA0h+0/PDeS57YuHXrnplE93/xCnR4oIM6cNfjrCKU6o9jsfaAj5ep97IPKDlpFs14Sv37c/Vd2oqotU9XBVna+qVwXbrwwWc1S1VVU/p6rTVXWZqr4f68RHsmYaGEdu9yh4AoU00xDnrCIXq4uKOioqSJ09q3sUn3bYfDoqKh3be3I6N7znfHak8Z3a393ewUdPTOseRZ758Qy2bm/vN8/ec+vh9B8OnF6vGT7sStE4SCeLUrYyWWfikST2sYsMonMXnaEQ66tDk/LyqHvmObJPOgFXSgqN69aTlJ/n2N4l3KsgI43v1D53VgO/+8sBvnNxDlmZbu58oIH5s5PZ2E+e4ebTUzSK+mCvEp07Kznk6zXDhxX0OMiliFqqeJnHSFIvoCzs48rP4WKoLvNPX7SAlu3b2fXTX+JK8YLbTf4lX8Mzbiwt27az66e/QJK9iMdN/qWBc9BVlXVvtlLf6GfRfG/3eiZO8Vvff5+yq67GnZ6OqpJ38VfxjBtL87ZtlP7kqsAVqMlJFHzj64Hthsjn82fcy0urmylZsoOsTBdJScITdxfxkdULQsbpyrO9fDf+1laSCwtxp6U65tOXUHFi7fNnZLBqTQvTj9zJ+LFu/AqP3nHwYOn6jW1h7f++RCvOaGXL58ZRqzYHL7XPwBWDS+2jKRbF3GnE2NmpnHPJPtZuaCVvoodd5R08emchZ6y/hN2//h3a1o47K5OOyiomnHs25Ve9zDmX7GPdm20U5LrZURa41H7+7L7XGfcdqA0cpJ04AfF48Pt8fcbvnc+cGckh22dOTWL+CaU0NSt5E928934HN/8ll+/VfYfKW26nbVc57uwsfNU15F18EckF+SHzcaJ+f59xBrLPI1G2O3DQcsaUJLxeV/fvq7/9359oxUl0tnzuMJUiodcJGS5iNSLvr6jcdl8De/b62PziZLxeF/+8vY6v/6CCas/9uFJSKLji+4jHQ/0rq6m69z5uW5DOnr0+Nr0w6ZD+Lz1U3Od2PGNyYMzBq2+rV/Ydv3c+F52bHbJ9zsxksrPcvPV8EV6vi3/cVsslP6jE/7F1+GrrKPpRIH7Dq2uouuc+Ci7/Rsh8nDSu7TtOXwZyB6beiguT6Llnu35fke7/3qIVZzSzc4JMSPEq5gDv7+zgpOPS8HoDf56nnJTO9p0ddOyvJHXenO7Ra9rcOWhbm2P/SLcdaXyn9ne3tXPqyQfbTz05g8YmP76qalJnzuiOnzpnNr6qD1yu0a9oxYmWcPf/UMUZzaygm0NE+0bNA3H43GT+81gjB2o7UVVuurOOw+d68U6eRNO6N+hsbkZVaXh1Na60NMf+vfV3YDHS+E7tRyxK4c4HDrbfeHsdY3JcJBcU0LRx08H4a14jubD/aZLeBhsn2mfNhLv/hyrOaGZTLqZbJIVc/X7adpQGbmk2eRLujPBuKt1VTPoaLX/6tAxWr2tlyhE7yMpwkZXp4tE7Cjlx1Wm0vb+Dsp9chXi9qN9P3tcu5NOnPc7LrzVTtPB9UrwuxuS4ePa+vs+NDpX/mDOc469Z38rUZTvJyQrk899bCygu9ITMs6jAzcuvtVC0cAcZ6YLPBw/fXsC52w+jrbSUsp9fjSs1BVdKCnkrLgx7n3dJWzD4ONGYeuny6dMyQu6feMUZzeyg6CjwxJ43+3w+0hGbdnZS8a9b6KisxJ2TQ8feveR+7SK8RdG5TLsrfvv+/bgyMvBVVZF38Ve747fv309nXT3eksm4kpPxNTZS++urGJPtoiDPw5ub2/jy2Zn8+erckK+xv/x7x+8qfJVVPuob/UwuSsLjEXw+5bMX7eWdd9uZMN7N9p2BmykfNsfLZy/ay6YtbYzJdlG+t4NH7yjic1u+BUBnYyP+1lY8Y8Yg7oEfDB9snGjf7KL3/ol3nERlB0VHif4Kt5Ou/9jhFvbG19fhb22h8H++i7jdNLy2lup77qPgO98c0Pad4hdd8f2Q8ZNzcyH3YLHe+8c/s3hGEi8+WExSknDLPXV868dVhxT0SPLvHb/LhPEeJvRYev2We+upr/fz1guTg9ut59IfVnLRuVnU1/vZsqrkkPZtjxzcz+6Mwa81787IGFSccD4tRaL3/ol3nNHI5tBHsCf2vHnI12CF+x/bV1NDyrRp3aPC1JnT8R040M9PhS/S+J2NjXz0xDSSgrdbO+nYNHw+50+e0cq/tMzH8Uen9thuKqXlHY7tXew2cCZWrKCPUNEo4AOVXFxM04Y36WxsRFWpX/UqyUXRuwlBpPGT8vK49d4GKqsCi3X99aa67mI6kPjbPv/3Q76cLFngZeV/G7u3+7eb61h8uNexvafhVNSHy9ICZvBsymUEimcxB0g/bB7tZWWU/fxqJDkJz5gx5H71ywOKpX4/re9uw9/agnfKFDzZWX3GD9W/8NuXse/KHzNp8Q68XkEVrv/txIjz3/b5v9PZqTz1QjN1DX6WH5FKfq7zf5EzPpbBujfbmHbkTtJSXUwq9PCfmwsoyPOEbO9t2+f/HrKY9rUeTaLr7FSeXRXe/jcfZAdFR6BYFvRIioa/tRV/WxvuzEzEFfmHPfX52P+Pf9HZ0IhnzBhad5aSt+IreCdPChnfqX9yYQH7//Ev2msO4ElPp21/BQUXX9QdJ5z8t5/1D9rblTO+tIfK6k6KCz2sWdfKg7cUsGxRSp9x6hs6aWwKXBXqckm/7b313OeRjNyjWeCHwyeGge7/0cYOiiaQeI/Oe3KlpHTfNm0gGl5bi/qVgu9djrhcNK5/g6p776fwe5eHjO/UP/OYo1C/UnzF90PG6S//rmJ28z31+FV57fFi3G7hrv80cNkVFax5vO83hqxMN1khVh52au9toMW0588lwuh9oPvfHGRz6CZuOmtrSZlS0j26T5k6hc66uoj7Rxqnp55FsXyPj2OWpuJ2B0bTxy5LoXyvL/IXFgfhzvsPZyN5/w8XNkIfYT5WsGBYjdIHwzt5MtUPPEjm8qNwZ2ZS9/xLfU6TOPWPNE6X3oXvyCUpfOfKSlacl03eRDf/7x+1IT/uRzIajldxHYmj93D3v3EWzi3oioFbgFxAgRtU9f/16nMi8CCwI9h0f9eNMMzw0tGhPPpME/UNfk44OpVJRUl99tfOTprf3oK/tY3UaVMP3gouCtLmzaGtfDflV/0aXC6S8nLJW/EVx+0G+pdT9vOrQYTk/DzyvnYh7sxM2vfsofwX14DLRXJBPrkXnu+4Xacie+rJ6Wzc3MbMo3fi8QiHz0lm5b/6vqTe395O7ZNP09nUTOaypaRMKTnk+cGe6x3p7yuU3tsergV+IPvfHKrfg6Iikg/kq+p6EckE1gGfVNW3e/Q5Efieqp4e7obtoOjgDGSU3tbm55Sz99DWrkwq8vDcqhbu+1c+y5cdXEv7kCsqfT72XX8D6uvEM2YMLe+9R+6FF5AydUo0XkJ3fH+HD09WFq07dpB74QV4JxWH3O72bz/OKWfvobXNz6SiJJ5/OZD/+Tsv747nb2/Hndb3Kpb9Fde2Nj/NLcqYnA9efdlz//hbW6m+5pdMzlMmFyXz3KpG0k7/FFnHHjOo7ffMo7/fVzREcxmAaOhr/5tBHhRV1b3A3uD3DSKyBSgE3u7zB82wc9Nd9aSkCE+vLMTlEu5/pJFv/W8la58KPT3RsPo1JCmJvEsvRlwumt58i+r7/kPh978dlXy64hf0ip959JEht3tTfnsw/+JD8t/2VI8rMPtYRzxcXq8LbxhrQlXdvZLFs108u7KgO5+vfPe/0E9BD7eARvr7GqjhVMwh/P1vPiiig6IiUgIsAtaEePpoEXlTRB4TkXkOP79CRNaKyNoO2iJO1hz0sYIFEf/MvopOjliY0n0K3bJFXvZWOB906qxvwDupuPtgo3dyMZ319QNLOIL4Tu395R/rwtR7qqKzro7jjjw0H197Z9S2F+nvy5iwC7qIZAD3AZerau//1euByaq6APgz8J9QMVT1BlVdqqpLk7C34KF2zBEp3H5fPaVlHXR2Kr/5ywGOOcL547t3agmNa9fTUVOD+v3UPv0s3iklUcvHKb5Tezj5D+VoM2XObP55e113Pr+49gCerMGv0dIl0t+XMWF9PhWRJALF/HZVvb/38z0LvKo+KiLXich4Va2KXqqmt65Rerjz6R89MZ2Lz89mznGl+P3KskUpPHCT8/KkabNn0XH8sey++neo30/KtKlMvODcqOTeFb/tqGWU//I3oEpyYQF5X/8q7vT0kNv96Im3cdmFOcw7vpROPxx3VAp3Xv/Bg2ZOV2AOlFOsMR85maqyUmYe8zaqkJadStYl0VmgDAK/r3BerzFdwjkoKsDNQI2qhrxSQ0TygP2qqiKyDFhJYMTuGNwOikZPuOuY+9s72PfXv4HbjWdMDi1btjLxy+eROmN6nz+nfj/q68SVHPkZFn3xNTWz+1e/wTNubOBGzJvfJufUj5PzoRNCbrdr9N3ZqbS3K6mpfX/AdCrEkY7i+3tz8Pt8+Nva8aSHf0vBSHII9/Wa0WGwV4ouB84D3hKRDcG2HwGTAFT1b8Bnga+LiA9oAc7qq5ib6Jp2+eqwinrjmtdwpaeR+9WvICI0b9pMzQMPUfiD7/T5c+JyIcnRLyY199xHclEheV//anc+lbff3V3Qnbbrdgupqf2vk+20LHAkpxKGM9J3eTy4onAw1km4r9eYcM5yWQX0+dekqn8B/hKtpExsdDY04i0qJPChC5ILC+lsaIhbPr6GBlKmTTkkH/VF/6Cf0xRM77bhdraHMZGyK0VHkZTpU6m8427SlyzGM3YMBx5/kpTp0+KWT9r8udQ98xwZS5cE8nnkMdzZWVHfTrjz6UN5wc1wO/fbJAYr6MNMp/rYTzk+OhjLRDIkO2qxU2fOIOcjJ7P3j3/C395B2pxZjD/nbCBwxWPT+g2BKzNnzSA5Py9q23WSc9KJtJWWsfs3/wd+P+6sLPK/dWnU4g9FgY7HfjPGiRX0YaRTfazleZJJIZV0drCF+bqMcdJ/kQh3Hj1r+dFkHnMUqHaf5+1va2Pvn67DnZmJZ9xYap98mgnnfZG0ObMG/Zr64m9rw1dVhXf6tMBB0TffoqOikqRxYwcde0iK+SD3m43STbRZQR9GdrOTFNI4nKMREcZrPu+ykaOJ7qhPREAOHhZpWPM6nrFjmPiV8xER0ubPpebB/8a8oPfebvPh8/vcbrgHM4dq6iRe+80YJ3Ye1DDSQRsZZHUfJMwgiw7aY75df2MTyXl5Bw9O5uXhb2oettvtq2AP5Tx4NPbbcF0oy4xMVtCHkbFMZA+lNGgtPu1gG5sYi/Ot1KIlZeZ0Gta8Tlv5bvwtLdQ8/Cips2YM6+2Gc9ZKrMVrvxnjxG5BN8zs0Z1sYxM+OphAPnNYgkfCv6An3IuMemt47XUO/PdR/C2tpM2fy/izPjeouxEN1XYHelWor66Omgcewt/SSsaypWQsWdRnf39rK42vrwsc/JwzC29RYVTy7/1ajOlPXxcWWUFPMAMt6KOJr7aWmt9dw3FHepkxNZmb7qjDs/wkxpz28ZD9/a2t7Ln2LyRNmIBn3FgaX1/HhLM/T9r8uVHNywq6CUdfBd2mXMyoU73yP5y0PIVHbivg2qvGc/9N+XSuft6xf8Pq10nOyyX3wvMZ98lPMPFL51Dz30einpfNp5vBsoJuRh1/SxNzZx6cxpoxJYlOn7+P/s14Jozvfpw0YTz+lpaY5mjMQFhBTzDTLl8d7xSGvfTFi7n+5jpeXdvCvgofl/24CvcY53PfU2fPonH1a7Tu2Imvvp6aB/9L6uzZMcnNRulmMOw8dDPqZC0/mqp9+/jYWavx+fwkjxtDziXOV6imTClh7KfOpPLWO7oPfo77zJlDl7AxYbKDognIDoyOfHaA1Dixg6KjiBVzY0YvK+jGDEM2l24Gwgp6ArHRuTGjW78FXUSKReQ5EXlbRDaLyLdC9BER+ZOIbBORjSKyODbpGieDLeadjY0ceOJpah58mJb3tkUpKzMY0+/5mo3UTUTCGaH7gO+q6lzgKOBSEel9idwpwIzg1wrg+qhmaWKqs6mJPX/4M74DB3ClplJ56x00rnsj3mkZYyLUb0FX1b2quj74fQOwBSjs1e1M4BYNWA3kiIjdnnyIDHZ03rjmdVKmljDhrM+R89GTmXjBedQ+/mSUsjODZaN0E66IzkMXkRJgEbCm11OFQFmPx+XBtr29fn4FgRE8KYR/h3QTWrTmzP3t7bizD94ZyZ2dhb8t9sv2GmOiK+yDoiKSAdwHXK6q9QPZmKreoKpLVXVpEt6BhDAxkDZvLg2r19C8+W3a9+2j+p77SV9wWLzTMj3YKN2EI6wRuogkESjmt6vq/SG67AaKezwuCraZGInmGS3e4iImnHs2Bx55HH9rK2nz5jL2E6dGLb4xZmj0W9AlcDuWG4EtqvoHh24PAd8QkbuAI4E6Vd3r0NcMQ2lzZpM2Jzbrk5josHuQmv6EM0JfDpwHvCUiG4JtPwImAajq34BHgVOBbUAz8OXop2q62PnmxphQbC2XEcaKubFR+uhma7kYY8woYAV9BLHRuQG7gtQ4s4JujDEJwgr6CLD92qNsdG4+wEbppjcr6MOcFXJjTLisoBszgtko3fRkBX0Ys9G5MSYSVtCNGeFslG66WEEfpmx0boyJlBV0YxKAjdINWEEflmx0bowZiIhucGFiywq5GYyuUbqt9TJ62QjdGGMShBX0YcJG5yZabD599LKCPgxYMTfGRIMVdGMSkI3SR6d+C7qI/EtEKkRkk8PzJ4pInYhsCH5dGf00E5eNzk2sWFEffcIZof8b+Hg/fV5S1YXBr6sGn9boYMXcxJoV9dGl39MWVfVFESmJfSqjhxVyY0wsRGsO/WgReVNEHhOReU6dRGSFiKwVkbUdtEVp08aYvtgdjkaPaBT09cBkVV0A/Bn4j1NHVb1BVZeq6tIkvFHY9Mhjo3MTL1bUE9+gC7qq1qtqY/D7R4EkERk/6MyMMcZEZNAFXUTyRESC3y8LxqwebNxEZKNzE282Sk9s/R4UFZE7gROB8SJSDvwUSAJQ1b8BnwW+LiI+oAU4S1U1ZhmPUFbMjTGxJvGqvVkyVo+Uk+Oy7Xiwgm6GE1vAa+Ry57+3TlWXhnrOrhQdAlbMzXBjUy+JyQq6McYkCFsPPYZsZG6GM1s/PfHYCN0YYxKEFfQYsdG5GSlsPj1xWEGPASvmZqSxop4YrKAbY0yCsIIeZTY6NyOVjdJHPivoUWTF3BgTT1bQjTHdbJQ+stl56FFgI3OTSOz89JHLRujGGJMgrKAPko3OTaKy6ZeRxwr6IFgxN8YMJ1bQjTGObJQ+slhBHyAbnZvRwor6yNFvQReRf4lIhYhscnheRORPIrJNRDaKyOLop2mMMaY/4YzQ/w18vI/nTwFmBL9WANcPPq3hzUbnZrSxUfrI0G9BV9UXgZo+upwJ3KIBq4EcEcmPVoLGGGPCE40LiwqBsh6Py4Nte3t3FJEVBEbxAI1P68qtUdh+rI0Hqg5p+dbK+GQyND74ehObvd4wub8V5UyGRiL+fic7PTGkV4qq6g3ADUO5zcESkbVON2RNRPZ6E5u93sQWjbNcdgPFPR4XBduMMcYMoWgU9IeALwXPdjkKqFPVD0y3GGOMia1+p1xE5E7gRGC8iJQDPwWSAFT1b8CjwKnANqAZ+HKsko2TETVFFAX2ehObvd4EJqoa7xyMMcZEgV0paowxCcIKujHGJAgr6P0QEbeIvCEiD8c7l1gTkZ0i8paIbBCRtfHOJ9ZEJEdEVorIOyKyRUSOjndOsSIis4K/166vehG5PN55xZKIfFtENovIJhG5U0RS4p1TrNkcej9E5DvAUiBLVU+Pdz6xJCI7gaWqmmgXYoQkIjcDL6nqP0UkGUhT1dp45xVrIuImcGrxkapaGu98YkFECoFVwFxVbRGRe4BHVfXf8c0stmyE3gcRKQJOA/4Z71xMdIlINnA8cCOAqraPhmIedDKwPVGLeQ8eIFVEPEAasCfO+cScFfS+XQv8APDHO5EhosCTIrIuuExDIpsCVAI3BafU/iki6fFOaoicBdwZ7yRiSVV3A78HdhFYhqROVZ+Mb1axZwXdgYicDlSo6rp45zKEjlXVxQRW0LxURI6Pd0Ix5AEWA9er6iKgCfhhfFOKveDU0hnAvfHOJZZEZAyBhQOnAAVAuoicG9+sYs8KurPlwBnBeeW7gJNE5Lb4phRbwVENqloBPAAsi29GMVUOlKvqmuDjlQQKfKI7BVivqvvjnUiMfRjYoaqVqtoB3A8cE+ecYs4KugNVvUJVi1S1hMBH1GdVNWHf4UUkXUQyu74HPgqEvKlJIlDVfUCZiMwKNp0MvB3HlIbK2ST4dEvQLuAoEUkTESHw+90S55xibkhXWzTDWi7wQOBvHw9wh6o+Ht+UYu4y4PbgNMT7JN6yFYcIvlF/BEj4u1Wo6hoRWQmsB3zAG4yCZQDstEVjjEkQNuVijDEJwgq6McYkCCvoxhiTIKygG2NMgrCCbowxCcIKujHGJAgr6MYYkyD+P1bRIKgoKX4GAAAAAElFTkSuQmCC\n", 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tiJvhzs4UNQNuOvNYwTNs0JX4yWIXWyhiQqrTOoIVc5MO7OJcpkfr9BWe14d5Th/iRf03LdrS+zd145csFnEm7bRRxX4mM5sZclyf8qnQvbyqT/KiLmWTriaowd6/qRdWzIeOBx9rZPYpOyg97l2u/OYBWlpCSe2f7qygm5i26pvUUMlxnMx7+RDZjOJ1nu1TrEzJ5ng5lUVyBuOlbzexqNNq3mYNszieRZxBO228wxt9imWGnhVrWvny9RX8+ZfjeHVpGZXVQb52Q2XS+o8EVtBNTPvZTRlTGCVj8YmfmcwnQEfK8qnmAMVM6sxnOvOoorxfMW10PnQ8+XwTX/hMDu97r5/xpW5+e+NYHnumKWn9RwIr6CYmJ06aaez8uoWmlC5mOnHRwuFf2BaacOFOWT4muXKyHGzffXjAsH13B7nZsc/4TbT/SGCLoiamuZzAKp5nnb6Gn0z28C75jE1ZPsVMZC/beVNXkIGffexgJsenLB+TXJdemMPf/lXHZ68uZ1KZm3/cU8+ffj4uaf1HAknV+T85kq8nyJkpObaJ33bdzLtsQFEyyeE9nIFLYo8D9usutrKBAB2MoYiZHI9LXDHbExXQDvaxgwAdjKaQXMnvz9OzKZchpq4+yG331lPXEOJD789k0XxfUvunA2fRltWqujDaY1bQTUwHtYr1LGce7yWDTDazFgcu5kjUn6WY/UuYmFCcwWLF3AxHPRV0m0M3MYUXISeSK/l4xMs0jqWa/Qn3TzSOMaZvrKCbmNx4aKah8+smGnAT+4JasfonGscY0ze2KDrMqCrJuHdIrDhd24uZyD52sE5fxYef/exmDrGnSWL1z2NMQnHM0JGsnzczOGwOfZjYq9vZygaCkUXF2SzEJYlv2YsVJ1Z7QAPsZ1dkEbKAbMnrMX6s/onGGUhd586nLrmSref/NWW5DFW33l3Hd39STX1jiLM/kMktvx1HzgjfEjhU2KLoMFerlWxgJfM5BV9kUVFR5sqipMQpYVJS4g8X3Qt6b0Zawf/Pq81cfO0Blv6rmEnj3Vz73QoCAbjjT4WpTs1gi6LDXg0VFDOBLMnFJS6mMIcaKpIWJ1nx09FIK+YAz7/SwiXn53DMLC9ZmQ5u/PZonn+lufdvNClnc+jDgAcvNVR0zmc2UoenD7fwixUnWfGHi3hG5TAyiznA2NFOnn2pufPnYcPb7YzJt+mW4cAK+jBQzETK2claXiZDM6lgD3M5IWlx8hhNOTtZzYtkaCZV7DsifkhDhAgddSKQqqIoDunfG71kxYnHtt+dOODHGO4uuzCH25fU85HP7GPSeBcPPtbEnX+26ZbhoNc5dBHxAS8CXsJ/AO5X1e9363Mp8CvC9xYF+KOq/r2nuDaHnpigBqlgDwE6yGccmZKT1Djr9DWqKEcJ4cHHQk7HL1ms19eojLR7yWAB78MvWezWrWxlAyGC5FPAXBbh7sM9QpMVpzeJFvKROjo/pKUlxP1LG6lvCHHGKX5mTbdtpkNFvxZFJbxnKVNVG0XEDbwMXKeqy7v0uRRYqKpfjjcpK+hDx3Z9m11s4T28Hx9+3mYNtVRSzKSo7TM5nk2s5nhOw4efzawlQAfHSGJFs1oPJCVOb6yYm3TSU0GP5ybRCp2X3HNHPuwG0Gmkmv2UMAm/ZAEwWWfzKk/GbD9IFUVM6GyfpLNYyXMJHzdZcXrTtUD3NH9uhdwMd3FNWoqIU0TeACqAp1V1RZRunxKR9SJyv4iUxYizWERWiciqDtr6kbZJJg8+6qnh0Lu1Bg7iwNljewO1R7R7SPyiSMmKEy8r5ibdJbQPXUTygIeAa1V1Q5f20UCjqraJyJXABap6Rk+xbMolcSENoYRwxnmVwoAGCBHAIz0XyXZt5zWexIefDDKpopypzKWQCbzGk3jJIAM/1RxgKnMpYTJreBEAH35qOMCxnMQo6fnSut3zCWqQNbyIIJ3HjSdOvLpffKt7QddgEA0EePfz/4wrXiCgtLUrmX5HXO3GDIR+Tbl0paoHReR54MPAhi7t1V26/R34ZV8SNbHt1HfYxkZAydXRHMOJeCT21sI39JXOC2C51csCTou5kOoRD9maRw0HaKAWF25GU4BHPIzXKbzL2zRRTxY5FDIepzgZq0W8y1vUU0sOo8ik50XaWPks0NOopJwAHUxiVuf0y0Daev5f+eVNB7nhlzWownsfyOTRW8YwZnTsrXm/+UstN/yiGgVOWuDjnr8WMWa0M2a7MakQz6LoWKAjUswzgKeAX6jq0i59ilS1PPL5J4DvqGqPK1E2Qo9fle5nM2tZwPvwksE7rKOVFubJSVH7v6ub2MM2FnEGXjLYzBtUUc4pclZC/WdyfNTjljBpQPNJhq4LoVvP/+sRp/g/8VwTF369kbyrv4IzN4eGRx5ioWcTj98W/Z3BE881ce13K3nugRKKC1184/tV7Cnv4IrP5UZtv/+W4gF7Xsb090zRIuB5EVkPvE54Dn2piNwoIudG+nxFRDaKyDrgK8ClyUjchNVRTSHj8YkfEWEC06mjOmb/msjlag/1n8gM2ntYs4jVP9ZxBzqf/uq+q6X79VpeW9WK67j34BqVhzgc+N9/JitWt8SMt3x1K5/9ZDZlJW6cTuGbX8rjtVWtMduNSZV4drmsB+ZHab+hy+fXA9cnNzVziJcMKtnbeeZeHTV4e1g89JLBQaqO6O8k9jRArP6xjjvQ+XQX77bDKV9dHlff4kIX8vR2NBRCHA7aduykYJy7c469+wJpUYGLh5c1EgopDoewfE0rxQWumO3GpIpdnGsYCGmQtbxMkAA+Mqmlknm8lzwZHbV/QNt5lSdx4yWDTGqoYDrzKJXJPfZ34cGHn1oqmcFxFDOhy3H91FLFPN5LDnkDms8hyTyrs2uRbmsL8f4LKthSlYlr1Chatm5j2R3jOGlhRtTvbWsLcfbn9tHUHGJ8qZv/vNrCQ/8s4vhjvJz9uX00NoUoK3Hz0vJmHvpnccw4fVVTG6CyOsS0yS4cDlt4HensaotpIKQhajhAgA7yGINP/D32D2iAnWymgzaKmEBujGJ7yFbdyE4240DwkcnxnIZXfGzTt9jB2wiCnyzmcype8Q14PpD80/S7FvWODuWp/zRTVx/k1BMyKCtxH7ELpvsoPVp/gDPP28OLr7XgdILf7+DFh0uZOzN518H50AV7eOHVFtwuIdMvPPtAcuOb4ccKuulRpe5jC+tZwOl48LKVN2migRImRW0/Tk4e0HwG+norsfacd9/W2Nve9O//sop/3NPAyifKKBjr5Bs/rOaBpY3sXDUxKXl+/5dV3HZvA8uXheN/64dVPPBYI9tfn5SU+GZ4ssvnmh7VU0sBZXjFh4hQxlTqqYnZPpAG4+JZU5dcGfcVF3vywqstXHphDoXjXIgIX1+cS01NIAkZhv3n1RYuuSC7M/5XF+dRVR1MWnyTfqygG3z4OUgVIQ0B4VPyffhjtg+Uwb4S4qGiHqu491b0J41388yLLQQC4Xe5Ly5vISMjeb9SE8e7efalI+Nn+u12cCY2m3JJoQ5tJ0gALxlx3bcxVv8WbaKdVrIZ1adL0IY0xDpepZVmfPipp5b5nEwWeazjVdpowUcG9dRyHCeTI/kJH6M3A1nMg80taFsbztwcpNui4qFplb5cFqC5OcT0k3fi8wqlxW5WvdHCn38+js+fHz7JaufudvZXBFkwz4vLdfi4B+uCNDSGKCly4XDE/n9vbg4x65QdeL0OyopdrFzbyk1d4seKk2h7LIn2N4MjaWeKmuRQVbaxkd1sxRnZW3KcnoxPou+OiNXfg5fVvEh9l22A8/U0cmVUQvkIQha51FJBGy14yMBDBg5xcJyeTC2VBOhgFgvx9nIZgaFEVal97AnqX3wZh9eDMzubgsWX48rLParvoZOPEuH3O3h3xQT+cEsdldVB/u/Hozl2to9QKMT7PrGPVW+0kuETRISn7i3m+GO9/M/Pq/nDLQfJynRQOM7Fo7cXU1IU/dfQ73ewZfnEzvi//dEYjp3tQ1WjxikudMZs/85PD/KHWw7i9rkpKXDwzF3jYh43VvxY/c3QYSP0FKjQvWxjIwt4H248nafQz5dTEuqfRS4H2M0izsSNh21spJydnCpnD2g+yTZQo/Om9RuofWwZRdd+CUemn4PLnqRt1x4Kr7riqL6xrsjYl4t2Xf+TKu59pJGVy8oYne/gv39ewx33NfCHn4zhf35ezfMPljI638EPflXDqnWtPHZnSULxH17WGDXOFy/Kjdn+hRvayL36OhyZfhqeWMac5tU8f++4hOInmqcZGLYoOsQ0cJBxlOARLyJCCZNpoDbh/nVUU8SEzvZSptBB+4DnkyzbfnfigE61tO/ZQ+a8Y3FmZSIiZL/3JNr37I3aN1YR78vi6auvt/D587IZM9qJiHDNpbkcPBhg7ZttfOqcrM72xZ/PZe2biZ8xGytOrPY169uQOcd3vg7+k05m3YbYZ7QmK08z+Ow9VApkkMk+dhDSEA5xUMMBMshMuL+fLKrZzySdhUMcVLMfZx/+SxPNJxkGYwHUlZ9P48pVaCCAuFy0bH4H1+jY8//9HZl3xpnkZtnzzfz3V/PxeISnXmjG73cwcbyL2+9toL1d8XiEp19sZtJ4d8LxY8WJ1T5pggtZthkNfABxuWjdvJnxpbHvQJSsPM3gsymXFAhpiDdZThP1eMmgiQbmcwrZktdj/8ZI/+ZI/wyyWM5TKIqXDBqpYzYLKYxcjr5NWwnQQQaZRyyWNuhB2mgljzG4xJVwPv0xmDtZNBik4p930LH/AM7cXDoOVFBw1RV4S3q/eFZ/Cnpra4iZp+6ioz3EmNEutm1v4x+/L+QTZ2VxweJy3nqnndIiF5u2tPPYnSV8auNXejzmcy83sX1XgPPOziI310kgoFHjzJnh4YLF5axe30pejoOKygDL7iljzgwP515eyfI3Bc+oHAIVB3j2ngLmzYl+glKs+LH6m8FlJxYNQapKHTUE6CCHUT1eCldVeYd17GM7Tly4cDOfU8mQTEIaYh87aKeNAkrJlGxUlS2sZx87cOPBgYPjOAUvGazieRqpx4WLECHmcTKjZExC+fTHYG9N1FCItp27CLW24h1fhjMz8XceiRZ3VeXrN1Tyj3vqycl2kOFz8NS9JUwocxMKKSvWtFJXH+I9x/kYnX/kNW26vksIBoNU/uRH0NREVpaD5mbln78fxyfPyY4aJxgMMmnRTmpqQmRnOWhuCfGP3xXE7N+TRPubwWMFfZg7oHvYzqbwoqV42K6bqKWS4+W0hPpnkUsl5SzijEj7W+zhXU6VcwbleQx2MU+2eAv7/Usb+Mlva3j+wVLycp387Pc1vPBqC0/e2/uiYteCvv/mWyhq2srrT5SRl+vkR7+t4bd/PUjN29GvgXPuxXvZvLWDFcvC/X/y22p+e/NBqjZNie8JmmHBFkWHuUbqGEsxbgnPexYxkUbqEu5fTy2FlHVpn0QHHQOa+6GFz+FczLee/9eERulvvtXOxz6cRV5ueFR78fk5vLkp8UXF9n3lfPYT2Z1xvnBhDu1toZj917/VxoUfP3zcSy/MpbXNbv87klhBHwYyyKKGCoIaPu27inIyiH1nn1j9/WRTRXmX9n24bF086aZMdPPsS820toaL72PPNDF1YuKLiq7R+Tz61OE4S59uwu2J/Ss7ebybpU937d+I120nBI0k8dyxyAe8CHgJ74q5X1W/362PF7gdWABUE76n6I6e4o6kKZcWbSJAB36ycYqz1/buVJUNrKSOarz4aKWF+ZxClhx9gkzX/rVU4MZDBx0cz6n4yeY1niJABx68tNLEHBYxTkoSyice0UbkHdXVhFrbcI8bi8Pde4Fr2bqNYEMjGTOm4fQfvuTAQMeJ1T/eUXowqFx87X5ee72V4kIXu/cFePyuYubMCK9L3PtIPbv3BLjo01kUjju822T7rg5Oe+CTnfkE29up+vEP8UoHo3Kd7DvQwc+/N5prL8/v7F/fEGLGFDc+n4OWliATF+5EBArGOnl3Zwc//e/8zv6xdI/TW3uypOq4w11/zxRtA85Q1UYRcQMvi8gyVV3epc/lQK2qThWRC4FfABf0O/NhTlV5m7VUsBcPXkKEmK+nkEFm1HTQyzAAACAASURBVPZY99MUEebqIhqpI0AH2eThktiFTFEaqSdIEAdBggRop41McshjDBXsoYM2XHjJIjdmnone3zPWtIqqUn3fgzStW48zKwsNBCm8+grcY8ZE7R8Khdj3698SqKrB4fcTam6m4IpL8U2bmnCcmt/8GmqryM11UnVfiJxLr8A3bSqNDy6hff068ka5qWlxkfvFq3Hm50ftnzF92lGxu98FqSunU/jXnwpZt7Gduvog84/xkpMdXrScsGAnjU0hRuU6ufE3Nfz5F2P57KdyuPxbNdy3tBlv9j+oaHVSePUVOPPzcWTn0FFbTXuH4nA6+Xn5eXxZn+Wa/1fJg481Mna0k/YO5fG7ipky0cO+9RP49U117C0PcM/Nhcya1vNie7Q4kye4Y8ZPhlQddySI545FCjRGvnRHProP6z8G/CDy+f3AH0VENFUrrkPEAfZQTw0n82Fc4manvsMmVlPC5KjtC3hfzFgiQjbxbSN8h/UoIU7lbFziZoduZgMrmc48GjnY2d6ffBLRtPYN2nbuoux/rsfh81H33AtU3XM/RV++Kmr/mocegUCQ8Tf+Dw6fj4PPPk/lHXeT/4mPJhyn2HuQFWsnkZ3l4Fc31fLTm24neM4nGVP5FstfL4u0H+RXD9xN+5jSqP0zbvgRcLiId7+oV7TCLiIcN/fIYnrOReXk5jjY9PJEsrMc/PqmGq77nyqcLgePvOJm7He/h8PnQyLPy11UQImvjhVvHJnPvXNzeX1tK1uWh+P85i+1XPWtCp6+rxSn08l3ro3vWjv3PtIYNc7ln4sdPxlSddyRIK73MyLiFJE3gArC9xRd0a1LCbAbQFUDQB3Q+x0M0lwT9YyhqHM0XUAZTdTHbE+WRg5SQGln/ELGE6AjZfl07D+Af85sHL7wdWAyj59Px/4DMfu379mH/7hjO/tnLTieUGtLwnE69u7l0x/NIjsr/GP+2U9k09HcRsf+A5z3YW+X9ixa91XE7H/IocLd1z3qb29p57xzDsf/zCdyaG1T3trcDjOOOep5xcrnmofnctYHMjvbL/hYNhs3J36G8KZ32jn7g0fHidWeLKk67kgQV0FX1aCqHgeUAotEZG5fDiYii0VklYis6hjAmwQPFZlkU81+ghq+RnYFe/GTHbM9WbLIoYK9XeLvwYUrZfm4x42jedPbhNrDv5xN69/EXTA2Zn9PcRHN6zcc7r9uPeLzJRzHXVTMg4830dwcXiS8f2kjrgwP7nHjeOjp9sPtjzXiLRwTs393fb2W+rQpHh7qEv+BxxrweoSZ09yw5fDzbVm/HnfB2Ljzf+jxRmZOTXxaYsZUN08813RUnFjtyZKq444ECe9DF5EbgGZV/XWXtieBH6jqayLiAvYDY3uachkJi6KqyiZWU8V+PPgI0M58TsVPFm+xmmrK8eAlQID5nEqmJKeIhjTECp6mjVbceGmnlWM4kdEUxMwnWnsi+fS0LVFDIaruuZ+WTW/jzM4i1NJC4dWLcY+LXoxDgQD7fvVbgnX1ODIzCTbUM+6yS8iYMY3Ku++jZeNbOPwZaCBA0Zeu7DFOzW9+jaOhhtH5TvZXBMm++HIyZkyj8b67CWzeyOh8NwcOOshb/CWc+aOo+c2vcDTUkp/v4kBFgOyLL2ff919AVZnwh4+z5OR7OGaWl3lLr2br+X8N/x+/0059Y4hjZnnJ9IfHSNHa29vDi5ZtbcrofCflBwL87sdjuezCHC7+ajWPPN2KOzsTb6CR/9xXwIdXXN2Zf9d8MmZMo/H+ewhu3siEwvBlbpfdXcL0KYkVv1BIWfzNCp54romCsa7OOFMnuaO2T5/iifl8B/q45rB+LYqKyFigQ1UPikgG8EHCi55dPQpcArwGnAc8N9LnzyE8jzpLF9BMIwE6yCIHp7hQVZQQCoRQ9Kglif5xiIMT9IPUUEEbrYylEE/ksrfR8umpPRnE4WDMZz5NoLKKUEsL7qJCHJ7Yv6TicOAuLSFQ34AGg0hGBq78yCWBNYQ4nTg8HoKBAD39mDlcLvK/+W1aN2+hvr6e0XNm4crKQkMhWjoctLR5aKzzo4F2clURh4Ng0QQaa1torPOinhCj8kcx5Z4vUnX3Elo2/41z7/XibKnihSV/YMo919C45C68OzZQONZJVU24AE2b7OZzX6nm8Rfa8eZmRvoXcPaaa/FeHySwchVVtbWMumQRP3Plcxl/IRCMPI9gMPzzoUfm39Alf4CsT3+GQGUVfznlLuZM9+DvQ2F1OIS//e84trzbQV1D6Ig40dpDIeXyrx3g2Zdajni+MxIcRSd6XBO/eLYtHgvcBjgJT9EsUdUbReRGYJWqPhrZ2ngHMB+oAS5U1Xd7ijsSRuixlOsudrOVBZyGU1zs1q0cYA8L5fRUp9ZnyTxxqHHVGupffJnCL1+Fw+Oh/qVXaFq7juz3nhi1vegrXxrQ+N3bG156mca168l+74kUrnuUVx8qwO93cNM/DnLfo41ccVEO1/3WQc5V13b2n7DjWVb+uxA4esrmh85fJdS/q/5ccyZRdz5Qz59ureOZ+0qOeL7PP2SLloOpX2eKqup6VZ2vqseq6lxVvTHSfoOqPhr5vFVVP62qU1V1UW/FfKRrpoHRFHSOgsdSQjMNKc5q6OioqCBj5ozOUbz/mLl0VFTGbB/o+N3bM445ho6KSq4c8wQf/8DhUeTHPpzF5m3tbN7agU6dc0T/re8eXtzrXoS/8u9j0Klzj+qfrHufJss72zr4r9P9Rz1fM3TY+5kUyCSHKsoJaPi0+/3sIovoJwmNRO7CQpo3vkWoNXzN7sbVa3AXFcZsH+j4sdpnz/Cw9Kkm6hvCZ97e/VADc2d6mDPTA2+v7+zfsmY1s6YfuYWxa1GPFr9tzPi4nstgFvxYz9cMHXZxrhRQVTbzBgfYjRsvoBxH4ifyDBXJvk6LqlJ1/4M0rVqLw+cFp5OiL12Ja3Q+Vfc9SNPqNYjHi7icFF1zFe4xo1FV2vfsJdTaiqekBKc/+u38DsWvfuAhmta8gTMzE1Wl8Kov4hqdT+V9D9D0+prwmaMeN8Vfvjp83Cj57Lj6Pq79bgV3PdBATrYDt1t48t5SJo13ccW3q7jz/kacHhd5WcpLDxYxeYIbVWXN+jbqG0PMn+tl4ZNf6swnsG41AV9OZz7uMbF3/nZ9vhu//FTn9VsGkqrylf+u5N6HGxiT7ySk8PhdJVGfV1/zSVacdGb3FB1iRISZzGeizoicap+Fo5+n2qfKgFx0SxVvaz1Z+TBuXIhtuwJoezsaDNK6+R0cbg/O7Cw6Kqto37sPV/4oGu68DXf5uxSMc7N1Z5C8L17Frq8+Chw9ihURxpz3SfLOPCO8SDtuLOJyEQoEaNu8BafXizMn+4j43fN57Iw7CYU8VNWEyB/lpHCci117OmhuCdHRobz0ciOjc5TCcSG2vNvBurdamVDq4pOLq3hxdQhPXjZas5fnlvwfc2d64QLYvbeIk+/7VGc+MV+eUIjK2++kbdcenLk5TL93H88tKQjHGUAiwh9+Oo5vXzOKuoYQ0ya58XodBIPK5760n9Xr2igucLJ9d/hSB4nmk6w4I5kV9BTyib/3TkPYQF1BsXHVasaHdvHKqyV4vQ7+9q96vntz+ExOh89H8fXfQlwu6l9dTtV9D5Df1hru/0rxEf2nFn+9x+O4RuXBqMNn31bf/2DP8SP5/P3OOq7+dgVXXJTLvvIAG1+ccET7rOkecnOcvPlCaSSfg3zp25XUNyivbMki/9tfRlwuGl97jYu/9hT1l4UvjbT1/L/iKS6K6/UJHKyj9LvhPBteW8HFX3uCNcsSn37qi7ISN2Vdvv7XAw3sKw+w4T/jj3gdXnq0LGaMaJIVZySzOXSTsIG+HG6gqpqz3hce/QGcdaaftspaOg5UkjFnVufo1T97FtrWFrN/ouKN/5EzMtm2o4N3d3Rwxqn+o9rf2drOWWf6u+STRWNTiG3bO2DKzM74vlmz2bHr8KJivPPhgapqMqZP64yTMWvmEXEGW6zXIVVxRjIr6GbI8RQXc8/SNmoPhvdk/+2uBnwlhXgnjKdp9VqCzc2oKg2vLcfh98fsn6h44//j7jqOne3l2NkeHl7WeFT7e+b7uPuhw+233FnHqDwH8+Z4CG18ozN+88rlzJ2V+HSCp7iYpvUbDue5YmWf4iRLrNchVXFGMptyMQk5NDLXUIi27TvDt3abMB5nVvJuKu2fdwx1u7ZRumA5WVku2t2Z5F7xWRx5ubS9u53d/3MjDq+XUChE4ZWX4504gdrt71A8bwVer6AZmYy6uufRbrT8R517dmd88XrRLvHrdr9L6cLljMuDnGwH/76jmLISF8tXtzLpPdvJyXKQk+3g8btKKC128srKFkqP205WphAIwNI7izlxgY8XX6/lbz/6EZ5ML2NzQ/zr7nGc8Wrir0/bzp3s/uFPcWT4cPh87Fp8LbCk7y96P3zy7CxWrGll8qId5OU4Ol+fVMUZyWyXi4lL1ykWDQapuPV2Oiorcebl0VFeTsGVV+At7f0Wa/E4FL/9wAEcWVkEqqoovOqLnfHbDxwgWFePd+IEHB4PgcZGDv7sRkblOigudLFuYxvOhScx9tOf7DF+rPy7xz+0xbCyKkB9Y4gJpW5cLiEQUM67opy332ln7Bgn23aEb6Z8zCwv511RzoZNbYzKdbCnvIPH7ypl/jG+qHG6T7UcOl5vUzDBxkZCra24Ro1CnM5BPckomu7PK9Vx0pXtcjFJ1fj6akKtLZR85xuI00nDylVUL3mA4q9/JanxS6//VtT4noICKCjo7F/+2z9w/DQ3Lz5Shtst3L6kjuu+txxiFPTe8u8av2uRHDvGxdgul16//b566utDvPmfCZHj1nPN/6vkiotyqK8PsenliUe0v/pYWdQ4h3QvyL0VdmdWFs6sobPVNdbzSlWckcjm0E2vui+ABmpq8E2ZgjjDWy0zpk8lUJv4ImQsicYPNjbyX6f7cUdut3bGKX4CgdjvPJOV/87dAU47KaPLcTPYuacjZnssvd2zNN6R91A7s9QMPivo5ihdb+wcbTeLp6yMpjfWEWxsRFWpf/k1PKXJu55HovHdhYXccV8DlVXhi3X96R91uHq4l2a88XsrpAvmebn/342dx/3LbXUcf6w3ZrsxA82mXEa4vmw/zDxmDu27d7P7hz9FPG5co0ZR8MXL+nR8DYVofWcrodYWvJMm4crN6TF+tP4lX7uW/Td8j/HHbw8viqrg+2TsOyDGG7/8fQGKCmL/ipz7oSxWr2tjygk78Gc4GF/i4uHbiikudEVt74+ud0pKZ8Gg8tzLzdQ1hDj5PRk9vv7maLYoOgIlaw95qLWVUFsbzuxsxJH4mz0NBDjwt1sJNjTiGjWK1h07KVz8BbwTxkeNH6u/p6SYA3+7lfaaWlyZmbQdqKD4qis648SbvwYC1N96M6MDFZSWuFi5ppXcLyzujBNrxF7fEKSxSSkc58ThkF7b+yPeop7qBdK+aG9Xzr14H5XVQcpKXKxY3cojtxezaL4v1akNKbYoagbkRCCHz9d527S+aFi5Cg0pxd/8KuJw0LhmLVX3PUjJN78aNX6s/tnvPRENKWXXfytqnHjzb1i5ipm5VbywpBCnU7jn4Qa+/Kt72f1KTo9xcrKd5ES5F0is9v6KdxfMcHPbknpCqqx8oqzz9b/2+gpWPBHfhcqMzaGPCAN5Vmd/BA8exDdpYufo3jd5EsG6uoT7Jxqnp/jvP8GF0xkeTZ+yyEd7bfLurZoMXUfew3EU3pM9+wK8d2HGEa//nvJAirMaXqygp7mhWswBvBMm0LhmLYG6OjQUou6Fl3qcJonVP9E4PcX/5wMt7NsfIBRSfv3XenwThvZ1RNKpqJ+wwMc9Dzd0vv6//9tBm25JUDy3oCsDbgcKAAVuVtXfd+tzOvAIsD3S9OChG2GYoUWDQZrf2kSotY2MKZMP39otSf0T4Z8zi7Y9e9lz48/A4cBdWEDh4i/EPG64/x52//CnIIKnqJDCKy/HmZ1N+7597PnRz8HhwFNcRMHll/Qpn8by05h84jM4nUJGSSHZl3wGuCvm9zQ3h/jJ72qorg1yyQU5nLQw9mV7+6KjQ3n82SbqG0K876QMxpe6j+qTLgumZ52ZyfqNbUw/aQcul3DsLA/339r7xcrMYfHcgq4IKFLVNSKSDawGPq6qb3XpczrwTVU9J94D26LowOs+OtdAgLqbb6LUW8v4UhcvvNJCzqWX45s8Ker3ayDA/j/fjAaCuEaNomXLFgouvzRm/0Qdih/qCODKyaF1+3YKLr8U7/iyqMf1ji/rMX8NBAi1t+P09+8qlt3jxFwMrQ8y/eRdFIx1MqHMzfMvNfGr74/hqkvyovZP1JS7Lqfu5puYkVXB+FIXz7/cwgO3FnHyouh/NLoW9eE8cm9rC9HcoozKG56XlB5o/VoUVdVyoDzyeYOIbAJKgLd6/EaTMrGmWRqWr+SYcQd59p4CHA7hwccaWfzj+/B97dsx+4vbTeE1VyEOB03r3qT6gYcp+dbXkpLnofjF3eJnn3RC1ONmn3RCj/mLy4Wzh+uIxyveOFd/J3yp3GfvKz6cz7cqklbQv9Xxvzxa3MTSf5V2xr/uvytZ9XT06aR0WSz1eh14bdt+nyT00y8iEwnfCHpFlIdPEpF1wD7Co/WNUb5/MbAYwMfwvhb4UNXTnHmwvp5TFrg6t9Atmu+lve5AD/0b8I4v61xs9E4oI1ifvEXCWPFjtyeW/0DbWx7g1JP8R+TT1hZKWvz9FUHec5zviPjv7HX0OhIfzqNz0z9xL4qKSBbwAPBVVe3+W70GmKCq84A/AA9Hi6GqN6vqQlVdGL71mhlM3smTuHVJCzt3dxAMKj/+fT0Zkyf20H8ijavW0FFTg4ZCHHzmObyTYvdPPJ/o8WO3J5Z/shw6pb77yPdDZ/i55c66znx+9Ltaxo7p/zuEQ8e6ueVT/P3enp+vne5vuorrxCIRcQNLgSdV9Tdx9N8BLFTVqlh9bA49+eLZ0dLw3HMcXPYEGlJyJpWQfdkXcWbGvvRt3QsvUrt0GRoK4ZsymXGXXtRj/0TVPvUMB594GlTxlBRTeHU4n1jHbfzPCxx8bFk4/2njybrosqTm05vuo99PXraPx55pQjV8UakXHixh2uT+3Ti5a4Huy/O1EXp662kOPZ5FUQFuA2pUNeqZGiJSCBxQVRWRRcD9hEfsMYNbQe+7vm5FDLV3sP9PfwGnE9eoPFo2bWbcZZ8nY9rUHr9PQyE0EMThOXqHRX8EmprZ+5Nf4Bqdj2t0Pi0b3yLvrA+T9/739XjcgconXt0LZnt7iMamEPmjknOeXvcRd1+erxX19NXfM0VPBj4PvCkib0TavguMB1DVvwDnAVeLSABoAS7sqZibvunvnvLGFStxZPop+OIXEBGaN2yk5qFHKfl2z/feFIcD8ST/lIWaJQ/gKS2h8OovduZTeee9nQU91nEHKp94TV1y5REF0+NxkD+A+fTl+XbP0YwM8exyeRno8UIUqvpH4I/JSsoclswTg4INjXhLSwi/6QJPSQnBhoakxU9UoKEB35RJR+SjgeFxZmC6bBE06cXOFB3Ckn2Wp2/qZBpWrqL9QAWhjg5qn3gK39QpST1GIvxzZ9Pw6vLD+Ty2DGduz9dNGYqSvSiZrD8Qtlg68tjVFoeYoAZ48zOe8BmSM6bhKUr8Zsc9qX/lNWr//Rih9g78s2Yw5nOfwenPINTeTtOaNwbsuLEc+McdNL+5AUIhnDk5FF13De7R+YNy7GTo+rq9cN1a5szo3+6tgSjC9g4ivfRrUXSgWEE/2pZfzGf/r/+I/6DgD/k5IHsZfflF+GfNSOpxVBVUO/d5h9raKP+/m3BmZ+ManU/T2nWM/fxnk37c7g4dVzIzw4ui694clOMmS7TXbenfcvnQ+/u362agRtZW2NODXT53mGhY8TrZtU7mdZyAiDBWC9m05GH83/9OUo8jIiCHl0UaVryOK38U475wCSKCf+5sah7594AX1u7HbT527qAcN1mivW4f+8ZSSv9fuCAPlQI6VPIwA8/m0IeIbb87kVBDI1mBrM5FwixyCDY3D/ixQ41NeAoLDy9OFhYSakrf4yZLb/n3daRtBdj0lRX0IeDQ4qdvxjT2unbToAcJaAdbXBvJmDFtwI/vmz6VhhWv07ZnL6GWFmqWPp7Wx02WePIfCmdyxjrT1aQfm0MfArruZmlY/joHH1pKsKONzBkzGX3Jhf26K1C8Gla+Tu2/HyfU0op/7mzGXPjptD5uoK6OmoceJdTSStaihWQtmN9j/1BrK42vrw4vGs+agbe0pM/5xzsCH4jdM7Y/ffizRdEhbCjfgCJdBQ4epOZXP+fUE7xMm+zhH3fV4Tr5DEad/eGo/UOtrez73R9xjx2La3Q+ja+vZuxnzsc/d3afc4inqA7V7ZAmtWxRdIiyYp4a1fc/zJkn+3j4n+GbJ3z0g34+dcULEKOgNyx/HU9hAeMu/TwA/lkzqX7w4X4V9EPFejCKrBXykcMKegpYIU+tUEsTs6cfvi7KtElugoHYl70NtTTjGjum82v32DGEWlqSkoudcWqSyRZFzYiTefzx/Pm2Ol5b1cL+igDXfq8K56jYJzNlzJxB4/KVtG7fQaC+nppH/k3GzJlJz6v7FMvW8/+alCJvC6Ijh82hDzIbnQ8NVQ88RGj1cgKBEJ7Ro8j70rW4srNj9m9c8wa1Sw8vfo4+7xM4BvC2Ol0LeTKLsb0LGP5sUXSIsGJuhgIr6sNbTwXdplyMGWFs+iV9WUEfJDY6N8YMNCvoxoxANkpPT70WdBEpE5HnReQtEdkoItdF6SMi8n8islVE1ovI8QOT7vA0HEbnwcZGap98hppHltKyZWuq0zHG9EE8I/QA8A1VnQ2cCFwjIt3PqPgIMC3ysRj4c1KzHKa2/e7E4VHMm5rY95s/EKitxZGRQeUdd9G4em2q0zIDzLYzpp94bkFXDpRHPm8QkU1ACfBWl24fA26P3Ed0uYjkiUhR5HvNENe44nV8kycy9sJPA+E7G1XdvaTX65sYY4aWhObQRWQiMB9Y0e2hEmB3l6/3RNq6f/9iEVklIqs6aEss02FmOIzMDwm1t+PMze382pmbQ6itPYUZGWP6Iu6CLiJZwAPAV1W1vi8HU9WbVXWhqi50M3AnZaTacCrmAP45s2lYvoLmjW/Rvn8/1UseJHPeMalOywwSm3ZJH3Fdy0VE3ISL+Z2q+mCULnuBsi5fl0bazDDgLStl7EWfofaxJwi1tuKfM5v8j56V6rSMMQnqtaBL+HYstwCbVPU3Mbo9CnxZRO4BTgDqRur8+XAbnR/inzUT/6zkX5/EDA92nfT0EM8I/WTg88CbIvJGpO27wHgAVf0L8DhwFrAVaAYuS36qxhhjehLPLpeXAemljwLXJCup4Wq4js6NMenBzhRNguGy39yYntji6PBnBd0YY9KEFfR+spG5SSc2Sh/erKD3gxVzY8xQYgXdGGPShBX0PrLRuUlXdtGu4csKujHGpAkr6H1go3MzEtgoffixgp4A229u0pWd9p8erKAbY0yasIIeJxuZm3QXbZRu0y7DixX0OFgxNyOFTb0Mb1bQjTEmTVhB74WNzs1Is/X8vx4xUrdpl+HDCroxxqQJK+g9sNG5GclsPn346bWgi8itIlIhIhtiPH66iNSJyBuRjxuSn+bgsv3mZqSJNa1iRX14iWeE/k/gw730eUlVj4t83Nj/tFLHCrkxR9p6/l9tHn2Y6LWgq+qLQM0g5JJyVszNSGZFe/hL1hz6SSKyTkSWicicWJ1EZLGIrBKRVR20JenQxpiBZlMvw0MyCvoaYIKqzgP+ADwcq6Oq3qyqC1V1oRtvEg6dPDY6N8ZG6cNdvwu6qtaramPk88cBt4iM6XdmxhhjEtLvgi4ihSIikc8XRWJW9zfuYLLRuTEmHbh66yAidwOnA2NEZA/wfcANoKp/Ac4DrhaRANACXKiqOmAZJ5EVcmNMOpFU1d4cydcT5MyUHPsQK+jGhEXbmmgLoUOTs2jLalVdGO2xEXumqBVzY45kBXz4G5EF3Yq5MdFZUR/eRmRBN8bEduhqi7aFcfgZcQXdRufGxMdG68PPiCvoxhiTrkZUQbfRuTGJs6mX4aPXfejpwAq5MWYkGFEjdGNM4mwuffhI+4Juo3Nj+s+mXYaHtC7oVsyNMSNJWhd0Y0xy2LTL8JC2Bd1G58bEL54plalLrrSplyEubQu6McaMNGm5bdFG58Ykn027DH1pVdCtkBtjRjKbcjHGJMTm0YeuXgu6iNwqIhUisiHG4yIi/yciW0VkvYgcn/w0e2ejc2P6J95CbVMvQ1c8I/R/Ah/u4fGPANMiH4uBP/c/rcRYMTfGmDgKuqq+CNT00OVjwO0athzIE5GiZCVojBk8Np0yvCVjUbQE2N3l6z2RtvLuHUVkMeFRPEDjM3r/5iQcH667PylhYhgDVA3kAYYYe77prdfn67xukDIZHOn4/zsh1gODustFVW8Gbh7MY/aXiKyKdUPWdGTPN73Z801vydjlshco6/J1aaTNGGPMIEpGQX8UuDiy2+VEoE5Vj5puMcYYM7B6nXIRkbuB04ExIrIH+D7gBlDVvwCPA2cBW4Fm4LKBSjZFhtUUURLY801v9nzTmKhqqnMwxhiTBHamqDHGpAkr6MYYkyasoPdCRJwislZElqY6l4EmIjtE5E0ReUNEVqU6n4EmInkicr+IvC0im0TkpFTnNFBEZEbk//XQR72IfDXVeQ0kEfmaiGwUkQ0icreI+FKd00CzOfReiMjXgYVAjqqek+p8BpKI7AAWqmq6nYgRlYjcBrykqn8XEQ/gV9WDqc5roImIk/DW4hNUdWeq8xkIIlICvAzMVtUWEVkCPK6q/0xtZgPLRug9EJFS4Gzg76nOxSSXiOQCpwG3Ydi2CgAAAc9JREFUAKhq+0go5v+/vbtnjSIKozj+P7CNWSysBElhKmtTBFGxSFQQJLWC30DSin4HCzubgI1vYDCtpLBPkdhppYEYRZMqhZXisZgrKLg2cvfC9fyqnakO7HBm9mF5plgC3vZa5r8YAUckjYAZ4GPjPNWl0P/uHnAL+N46yJQY2JC0VdY09GwOOAAelJHaqqRx61BTcg140jpETbY/AHeBXYY1JIe2N9qmqi+FPoGkq8C+7a3WWabovO15hg2aNyVdaB2oohEwD9y3fRr4AtxuG6m+MlpaBp61zlKTpGMMiwPngBPAWNKNtqnqS6FPdg5YLnPlp8CipIdtI9VVnmqwvQ+sAwttE1W1B+zZ3izHawwF37srwLbtz62DVHYR2LF9YPsr8Bw42zhTdSn0CWzfsT1r+yTDT9SXtru9w0saSzr68zNwGfjjS016YPsT8F7SqXJqCXjdMNK0XKfzcUuxC5yRNCNJDN/vm8aZquvqnaLxT44D68O1zwh4bPtF20jVrQCPyhjiHf2trfhNuVFfArpfem57U9IasA18A17xH6wByN8WIyI6kZFLREQnUugREZ1IoUdEdCKFHhHRiRR6REQnUugREZ1IoUdEdOIHSdIobhVMEP8AAAAASUVORK5CYII=\n", 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\n", 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "for k in [1, 7, 21, len(y)]:\n", " \n", " clf = KNeighborsClassifier(k)\n", " clf.fit(X, y)\n", " \n", " plot_classifier_boundaries(X, y, clf)\n", " plt.title(f\"3-Class classification (k = {k})\")\n", " plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Excercise 2\n", "Create the fitting graph for the `kNeighborsClassifier` on the iris dataset with cross-validation. Run it for the following values of k: `np.linspace(1, 120, 120,).astype(int)` and use 5 folds (`cv=5`). What is the best value for `k`? And how do you interpre k=1 and k=n_samples? When are you most likely to overfit the data?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Excercise 3\n", "Use the `plot_classifier_boundaries` to plot the classifier boundaries with the following settings:\n", "* `RandomForestClassifier(n_estimators=1, max_depth=1)`\n", "* `RandomForestClassifier(n_estimators=1, max_depth=2)` \n", "* `RandomForestClassifier(n_estimators=100, max_depth=None)`\n", "\n", "What do you observe? Can you explain it?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Part 3: k-means clustering\n", "\n", "We now turn to k-means clustering, an unsupervised approach. The goal is to automatically identify clusters in the data without having access to the labels. We will see that even without knowledge about the data we will be able to make statements about the shape of it." ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "def plot_clustering_results(X, y, cluster_centers):\n", " \"\"\"\n", " Plot results of k-means clustering.\n", " \"\"\"\n", " \n", " sns.set_style(\"darkgrid\", {\"axes.facecolor\": \".9\"})\n", "\n", " sns.scatterplot(X[:,0], X[:,1],\n", " hue=y, edgecolor='k',\n", " palette=\"nipy_spectral\",\n", " legend=False)\n", "\n", " sns.scatterplot(cluster_centers[:, 0], cluster_centers[:, 1],\n", " hue=list(range(np.shape(cluster_centers[:, 0])[0])),\n", " palette=\"nipy_spectral\", marker=\"o\", edgecolor='k',\n", " s=250, legend=False)\n", " plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The interface of k-mean provided in scikit-learn is very similar to that of a classifier.\n", "\n", "**Initialize:**\n", "We define the number of clusters we want to look for.\n", " ```python\n", " kmeans = KMeans(n_clusters=k)\n", " ```\n", "**Fit:**\n", "We fit the model to the data.\n", " ```python\n", " kmeans.fit(X)\n", " ```\n", "\n", "**Predict:**\n", "We make predictions to which cluster each datapoint belongs.\n", " ```python\n", " y = kmeans.predict(X)\n", " ```\n", "_Note:_ In contrast to the classifiers, the k-means algorithm does **not** need any labels when the model is fitted to the data.\n", "\n", "In addition to these standard functions has the trained model several additional features. On the one hand can the calculated cluster centers (or sometimes called centroids) be accessed:\n", " ```python\n", " kmeans.cluster_centers_\n", " ```\n", "Furthermore, we can get the inertia, which is the sum of the squared distances of each datapoint to its closest cluster center.\n", " ```python\n", " kmeans.inertia_\n", " ```" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can cluster the dataset in two clusters and visualize the results:" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "kmeans = KMeans(n_clusters=2)\n", "\n", "kmeans.fit(X)\n", "y_hat = kmeans.predict(X)\n", "\n", "plot_clustering_results(X, y_hat, kmeans.cluster_centers_)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can also have a look at other values for k:" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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\n", 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\n", 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\n", 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\n", 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\n", 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\n", 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ks = np.linspace(1,8,8).astype(int)\n", "\n", "for k in ks:\n", " kmeans = KMeans(n_clusters=k)\n", "\n", " kmeans.fit(X)\n", " y_hat = kmeans.predict(X)\n", " \n", " plot_clustering_results(X, y_hat, kmeans.cluster_centers_) " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### The elbow rule\n", "Looking at the results above it seems that the hardest part of k-means is to select the right number for k, which can be any positive integer. How can we find a good value for k?\n", "\n", "There are several approaches, one of which is the so called **elbow rule**: Plot the inertia for different values of k. This yields an asymptotic curve that moves at first fast towards zero and then slows down. Imagine the curve is an arm. The spot where the elbow of that arm would be is usually a good value for k." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Excercise 4\n", "Run k-means for values for k between 1 and 8 and store the values of the inertia. Make a graph that plots the k's on the x-axis and the inertia on the y-axis. Applying the elbow rule, which value for k do you think would be a good fit?" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" } }, "nbformat": 4, "nbformat_minor": 4 }