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@danlooo
Created August 30, 2017 20:04
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Clustering @Daniel2\n",
"![meme](https://media.makeameme.org/created/artificial-intelligence.jpg)\n",
"\n",
"- Als Clustering bezeichnet man *unüberwachte* Lernverfahren\n",
"- Ziel: Ähnliche Objekte zu einem *Cluster* gruppeiren\n",
"- Clusterverfahren benötigen keine gelabelten Trainingsdaten\n",
"\n",
"# Überblick der Clusteralgos\n",
"![](http://scikit-learn.org/stable/_images/sphx_glr_plot_cluster_comparison_0011.png)\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Agglomeratives Clustern\n",
"- die 2 Objekte mit den geringsten Abstand kommen in ein Cluster\n",
"- danach werden iterativ wieder 2 Objekte zusammengeführt -> Bottom to top clustering\n",
"- wenn nur noch ein Cluster da ist, sind wir fertig\n",
"\n",
"## Vorteile\n",
"- man kann sich die Clusteranzahl im Nachhinein nach Belieben selber auswählen\n",
"- das Ganze ist schnell\n",
"\n",
"## Nachteile\n",
"- das Ganze ist ein Greedy-Verfahren"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.text.Text at 0x7efbe933b2b0>"
]
},
"execution_count": 1,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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EQjFczmwqHqtP79u3T6tXr77mHOiHH35Y48aNc2FVAAAAAApT8UgnKFEMw/UP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\nALFEMQAAALFEMQAAALFEMQAAALFerNfnE6GnegsAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7efbe93aa080>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import seaborn as sns\n",
"import pylab as plt\n",
"import pandas as pd\n",
"\n",
"%matplotlib inline\n",
"sns.set_style(\"whitegrid\")\n",
"\n",
"data = sns.load_dataset(\"iris\")\n",
"features = [\"sepal_length\", \"sepal_width\", \"petal_length\", \"petal_width\"]\n",
"\n",
"colors = dict(zip(data.species.unique(), \"rbg\"))\n",
"sns.clustermap(data[features], row_colors=data.species.map(colors), metric=\"euclidean\")\n",
"plt.title(\"Agglomerative Clustering, metric=euclidean\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Metrik\n",
"![](https://1.bp.blogspot.com/_ZJIk2PqxzAA/TT7fpWOyXCI/AAAAAAAAAX0/yPSnXPY1Qrc/s1600/Packman5.gif)\n",
"- Clusterergebnisse hängen stark von der verwendeten Metrik ab\n",
"- Am populärsten ist die euklidische Metrik\n",
"- Sind die Features jedoch z.B. nicht *kontinuierlich* (Featurespace lässt sich nur auf Rasterpunkten begehen), ist vielleicht die Cityblock-Distanz sinnvoller\n",
"- Man kann auch eine Metrik auf nominalen Features z.B. mittels Jaccard (Anteil gemeinsamer Elemente) definieren"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.text.Text at 0x7efbe54be438>"
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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xJxgAAACAoyAEw+bIwAAAAAAcBSEYNpefeoKnTp2q5cuX6+jRo1kemzdvnhYs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\nEAwgYg4F2XCCa15eXp3Pj7VNGgAAAPGrXbt2Ki4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d2XJExs3nDq3X1+3bt0/SwdngUaNG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\n0lCCAQAAKI2/AGV7ny7Cy2ZbAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7efc200c1550>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sns.clustermap(data[features], row_colors=data.species.map(colors), metric=\"cityblock\")\n",
"plt.title(\"Agglomerative Clustering, metric=cityblock\")"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.text.Text at 0x7efbe5213a90>"
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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xMBYAAAAAd0EIhumYEwwAAADAXRCCYToyMAAAAAB3QQiG6TypJ3jcuHFauHCh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\nSUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7efbe538fc88>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sns.clustermap(data[features], row_colors=data.species.map(colors), metric=\"correlation\")\n",
"plt.title(\"Agglomerative Clustering, metric=cityblock\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Linkage: Abstand zwischen Clustern\n",
"- Beim agglomerativen Clustern gibt es ab der 2. Runde das problem, dass man auch Abstände zwischen Clustern berechnen muss\n",
"- Die Frage lautet nun: Wie gewichte ich die einzelnen Punktabstände zu einem Clusterabstand?\n",
"- Linkage-Methoden\n",
" - complete: Clusterabstand = größter Einzelabstand\n",
" - single: Clusterabstand = kleinster Einzelabstand\n",
" - average\n",
" - UPGMA: Clusterabstand = gewichteter Durchschnitt aller Einzelabstände, sodass alle Einzelabstände den gleichen Anteil am Gesamtdurchschnitt haben\n",
" - WPGMA: Clusterabstand = Durchschnitt aller Einzelabstände. Große Abstände fallen dadurch mehr ins Gewicht (weighted)\n",
"![](http://www.molmine.com/help/images/linkag1.gif)\n",
"![](http://www.molmine.com/help/images/linkag3.gif)\n",
"![](http://www.molmine.com/magma/images/linkag4.gif)"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.text.Text at 0x7efbe43c9278>"
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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OyTAcdxZH3bp1tX//fqtjc+bM0bFjx9I9v3Pnzpo0aVJulAYAAAAgBxDM4ZRc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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7efbe45c80b8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sns.clustermap(data[features], row_colors=data.species.map(colors), metric=\"euclidean\", method=\"average\")\n",
"plt.title(\"Agglomerative UPGMA Clustering, metric=euclidean\")"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.text.Text at 0x7efbdefc94e0>"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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rcm2IOwAAAAAAyDoCOgAAAAAATiDL26wB+VGtin/P88f87fzuPH9MAAAAAM6P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\nVUK32VGrAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7efbe42fc3c8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sns.clustermap(data[features], row_colors=data.species.map(colors), metric=\"euclidean\", method=\"weighted\")\n",
"plt.title(\"Agglomerative WPGMA Clustering, metric=euclidean\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# k-means\n",
"\n",
"![](http://www.heute-show.de/media/heuteshow/gratis-bild-zeitung-goethe-classic-meme-verlierer-briefkasten-rubrik.jpg)\n",
"\n",
"*Ich soll 4 Briefkästen in der Stadt so verteilen, dass möglichst viele Menschen einen möglichst kurzen Weg dahin haben*\n",
"\n",
"- Ich will exakt k Cluster haben!\n",
"- Clustering = Liste von Clusterzentren (Codebookvektor)\n",
"- Datenpunkte werden ihren Clustern mittels Voronoipartition zugeordnet\n",
"- Hier müssen wir keine Clusterabstände berechnen\n",
"\n",
"\n",
"## Vorteile\n",
"- ich darf mein k wählen\n",
"- extrem schnell\n",
"\n",
"## Nachteile\n",
"- ich muss mein k wählen (Bias)\n",
"- Das Ergebnis ist stark abhänig von der (zufälligen) Initiation. Es sind stets mehrere Durchläufe nötig.\n",
"\n",
"![](https://upload.wikimedia.org/wikipedia/commons/e/ea/K-means_convergence.gif)\n",
"\n",
"## Algo von Lloyd\n",
"\n",
" 1. Initiation\n",
" 1. Wähle zufällige Startposition als Clusterzentrum\n",
" 1. Iteration\n",
" 1. Jeder Punkt kommt in das Cluster mit geringster Entfernung\n",
" 1. Neuberechnung der Clusterzentrums (Centroid): Durchschnitt aller Punkte im Cluster\n",
" 1. Abbruch, wenn Fehler (Abstand Punkte zu ihren Clusterzentrum) minimal\n",
" "
]
},
{
"cell_type": "code",
"execution_count": 35,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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Xa73w1kMPPYTvv/8eS5YsQWJios2DWletWoWdO3eana/lw/bpp5/GM888024dWtfDlrIN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\nQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7efbd5fef6d8>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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XLkNXWgatuhBn13+GUyvew5X0/c1abuzsHozWvMzYv08cZB2Czcrc5b256jLf\n2kBUWaU3hREAUCjkPIiPPAJ7SMhl1QYDg0YDo15vKjfq9b8FEdHg8xrj7B4Md55b0xgvpRKK+0ei\nk7YKRjdbZeOqy3xrz9TJPlVsKlMovKDyuf5jWuohJSJnYyAhl1UbDIw6vVm5l0Jh6fJ6z2tMS6wO\naullxi1J1qYN2vfvB5VKJXVV7OaKu6bWBqVPt+di16HzUCjkUPm0gZdMBkD6ISUiZ2MgIZdVGxiu\nVVYAldfLZAoF5L99AAb2SwRwsMmBojX3YJB7UirkmDw8CiXl1fVOH5Z6SInI2RhIyGXVBoYr6ftx\n4avNqNFoIVepIPPygqpLZwQn9UdwUv9mBQpH9mC05k3QHIVtZM7aviOuOKRE5GwMJOTSvJRK3DIo\npcHg4QpDIq15EzRHYRuZa2zfEVcbUiJyNq6yIbdQ25PRZfxYBA9IdrkPMHc5YFBKbCNzDW3QRuSJ\nXCKQHD9+HNOmTUNiYiJSUlIwa9YsFBcXW7z2448/xvDhw5GYmIjJkyfj6NGjLVxbciajTocre/fh\n/JebcGXvPhh1OqmrZJPWvAlaLZ1OhytXrqCiUov0o0XYfbQc6UeLoNMbbHq+J7SRPVx1gzYiqUge\nSHQ6HR577DEkJydj79692LZtG4qLi/Hqq6/WuzYtLQ0rV67E0qVLsWfPHgwePBhPPPEEqqqqJKg5\nOVptl/65jZtQvGcfzm3chFMr3nOLUCLlJmjODnFpaWkYPXo0IiIiENW7N7rf2gOP/2kqdvy0D1v+\ndwbLvzhsUyhpzRvFNYWrbtBGJBXJA0lVVRVmzZqF6dOnQ6FQIDAwEPfccw9OnDhR79ovvvgCY8eO\nRUxMDJRKJR5//HHIZDKkpaVJUHNyNHfu0pdqEzRnh7i3334bEyZMwNdff438/HxcvnQJJZfVyDv6\nC3Z+vhgHf/y3zcMMrrZRnE5vwJ4jamzceQJ7jqht7ulxlJbaoE3q90lkK8kntfr7+2P8+PGmr/Py\n8rB582aMHDmy3rU5OTlm5TKZDFFRUcjOzsZ9993XIvUl53GnLn1Lq0WkWELszO3v09LSsHjxYpSU\nlFh8vFp7DQfSNqBTt0hcsGECpists7Y2ofSJMTE4cqq4RVa3tMRqGh7YR+5E8kBSS61W45577oHR\naMTEiRMxc+bMeteUlZXB39/frCwgIABlZWUtVU1yInfp0m9otUhLr/jRXlBDGI2m3Wy9ftunxREh\nbvny5VaHL7zUAAAgAElEQVTDSK1q7TUc3r0Js2dMsumerrJRnKUJpeeKruGNj/ajWl9jKnP2h7ez\nV9O46snGRJa4TCAJCwtDTk4OCgoKsGDBAjz//PNYtmyZU16ruroaGo3GKfd2R1qt1uzP5jLqdCg/\nnIUqdSF8wkLh3yfOpt+CvaMioewUYnaSrE9YKLyjIiX7+7LUNmX7M1BRcM7suoqCc7i4Zy/a9+/X\novVD+wBUX7pktrW+V0UF0D6gWW2m0+mQmZlp07UlF0+jR6i3W/2bOnOhFEaj0aysUluD0nIt2rfz\nNpUVXLyKXw4XIOl268MoOr0BmSeKoS7WoIN/GwQohMP+LTWXpfcJAPnqUvTp0b5F6+LonzOthVar\ndcvdjp3BZQJJrW7dumHWrFl46KGHMH/+fAQGBpoeCwoKQmlpqdn1ZWVl6NWrl12vUVhYiMJCy8en\ne7L8/PxmPV/U1MBw/AQMv+yBqNYBPt6QyWSQ/bATivtHQtam8W83cWcKjCdPQVwpgSw4CJqePfDr\n6dPNqpcj3Nw2NVlHYKiq/0P1XNYRFLZr2QmJNRfUMBgNgLjxoWMwGnDhghpFublNvm9ZWRnKy8tt\nu9hYjZzsLAQEBDT59VqasVoLbZ3J8JoqA+RyWb3yrNx8+HtZ7inSGwS2ppeiuPxGIOzgr8ADABRy\nmcPrbS9L7xMADFWlyM2VZjFAc3/OtEbBwcGNX+QBJA8k+/btwyuvvILt27ebymQyGWQyGRR1ziyJ\njo7G0aNHMXr0aACA0WjEsWPHMGHCBLteMzQ0FO3bt+xvB65Mq9UiPz8f4eHh8PX1bdI9jDodCj74\nEJUnT8FQVgYZAC+9HooOHSCr0KCTtsr23oOYmCbVwVKdbu6p8evdGxXHjtnVc2OpbcquVeDimbP1\nru0UF4v2UVEOqbutLv56EmUhITBotBB6/W9b6/uivVKJTg3UpbFeLJ1OB39//3q/AFji364d+vbt\nC6WL7Q3TkNt6GKC+egzq4kpTWUA7Oap0NaazY2rFRYUjyspE0/SjRajUlcPXRw6jEKjU1iC/qAqH\n8oE/3NtL8nkalt5nWIe2uH9I7ybV7ebeoLAOKsT36mDzfRzxc6Y1Yo/RDZIHkujoaFRUVGDp0qWY\nOXMmNBoNVqxYgcTERPj5+WH48OFYtGgR+vbti4cffhipqakYNWoUIiIisGbNGnh7e2Pw4MF2vaa3\ntze7yCzw9fVtcrtcyToC3cUioKYGst9+oIuaGoiqKsj9/GAsvtKibW7U6XBq1WrTPI+rRiPUn36O\nNn5tAZkXygFUHDps8y6hN7eNzx0DUHHocL0zdDrdMaDFJ2gG3BqO8gOH4NXOfLVGQHh3q+1dt20s\ntYVKpUKfPn1w9mz94FVXfHy82wV8FYBZf0g0m1Aa26MD3t+cXe8MmYF9uln90C0u18PLywtGIVBc\nVgWd3gBhFEg/VgytXubw+SfWtpq35302deKsTm/Ae5vNJ8geOlFi93tszs8Zat0kDyR+fn5Yu3Yt\nXnvtNQwYMAAqlQrJyclYuHAhAODs2bOmselBgwZh9uzZeO6551BSUoKYmBh88MEHbvWbWWtVO4nS\nS6kwHYQHwDS3wVETU209C6Xu6hODRgP91auQeckgb3t9WKWpq1FcabVIU04stnVlzjPPPIPdu3c3\nOLE1KCgIzzzzTDPegfNZ+xC3NKHU3lUvtXuGaKpqoNffGDZTtPFy+OTRpq6YcdTEWU6QJWeTPJAA\nQM+ePbF+/XqLj+XWGQd/6KGH8NBDD7VEtcgOtYFDrlLBq6LSFES8FAqH7TVhz1kodVeZ1NbHqNND\n3tb6dbZyldUiTQlHti6vHjp0KObNm2d16W9AQABSU1MxZMiQ5r0JJ7L3Q9zeD+/EqBDszS7EkVOX\nTWVt5DKofK7/aHXkrqtSBwLuLEvO5hKBhNzfzb+pe3e8BQaNBnJfX3QeNwbBSf0d0ntgz54bdXtk\nvBQKGPBbDw4AiOtLZTUFBbiyd59bnzprbziyZ3n1888/j4SEBPzjH//A4cOHodFooFKpEBMTg5Ej\nR2Lq1KlNrndLcPaHeO1eIp9uz8WuQxfQRi6DDDWonYbiyF1XpQ4E3FmWnI2BhByiJYYx7Nk4re5Q\nhlylAoT47U8jqi9dhgBQWXAemvObPOrUWXuHeYYMGYIhQ4ZAp9OhoqICfn5+qKmpqdd76Ypa4kNc\nqZBj8vAolJRXo+DiVWirru9j4uhdV6UOBLW9QXXn2Dh6Z1nyXAwk5DDOHsaw5zd7SwEpICYaV7Nz\ncGVvOmoqNZCrVJB5XT89wVG7m7qDpoZHpVKJoKAgAEBNTU2D17qKlvoQr+0p+eVwAbJy8xEXFd7g\nZNimkDoQtMTOsuTZGEjIbTT2m72lCa91A0bwgGRoL6jrDf0ArrlFvbPUyOT4tW03XAgMQue2fkiU\nydEa+4bs/RC3dxXLzZQKOZJuD4G/VwminPBB7QqBwNk7y5JnYyAht9HQb/b2THh1ly3qncWTzjex\n50PcHdqFgYBaMwYScivWhoXsmfDalKWyrYnUqzVamq0f4p7WLkSuhoGEWgV7Jry60j4iLeXm4awr\nVwAvgz+McvN//hcKS3GlssBj2qQuqVexEHk6BhJqFewdhnGVfURaQt3hrCCtDgk1KhyMGGoKJV6G\nGoT9vBXnKm9sFe9JK48A6VexEHk6L6krQGQro06HK3v34fyXm3Bl7z4YdTrTY4EJfaHq0tnsek8a\nhmlI3eEslY8Cwfqr6FSSbyq73VAEVYX55me1Q16eIjEqBF06mm/Bz2WtRC2HPSRkka1btLdkfRqa\ntOqJwzC2qjtsJZPJ0DFQhTvC2kAdFYbOt/ghLLcYZUX1T6etfW7d1Se9u7erd627c4VVLESejIGE\n6rFnxUpLsWXSqicNw9jD0rCVTCZDZEIkBg7oBQC4UtkFZen7LT7X0uqTTkG+uDOq9X1QcxULkXQ4\nZEP1NPThLxV7Jq2SOVuGsxq6xtLqE3VxJU6qq5xXaSLyOOwhoXpc8cPf0/cOaQ5bhrMausbaKpMr\n5fqWegtE5AEYSKgeV/zw9/S9Q5rLluEsa9dYW2US7K9wSN1aG71BIP1oEYrL9ZyHQmQHBhKqxxU/\n/DlpVTqWtl8P69AWPcP4IVuXTm/A1vRSVOrK4fXbOUmuttsrkatiIKF6XPXDn5NWpWFp9Unv7u1w\n+tQJqavmcjJPFKO4XA9fnxvhw9N3e61doXXmQimM1Vrc1sMAldSVIpfEQEIW8cOfblZ39YlGo5Gw\nNq5LXWy5XTx1t9ebV2gZjUZoq6qgvnoMs/6QyB4jqoerbIjQ8KZrRLYK62D5d39P3e3V2gqtA7lF\nEtWIXBl7SMjjNbTvCpE94nt1wI59ClTelGc9ebdXng9E9mAgIY/X0L4rvnGxEtWK3JFSIccDSYHQ\nyoK5ygY8H4jsw0BCHq+hfVcYSMheCrkMsVEhUKk4ddPaCi1P7TGihjGQkMdzxX1XiFqDm1do5atL\nYagqxf1DentsjxE1jIGEPF5D+65U1dRIWDPHcLWDEsmz1K7Q6tOjPXJzqxhGyCoGEvJ4De674uaB\nxBUPSiQisoSBhAitd98VW05JJiJyBQwk5LY4FNE4VzwokYjIEgYSckscirANJ+wSkbvgTq3klhoa\niqAbAhP6QtWls1mZ1Acluhud3oA9R9TYuPME9hxRQ6c3SF0lolaJPSTkljgUYRtXPSjRXdx8Fkst\nnt5L5BwMJOSWOBRhu9Y6YbclWDqLxdNP7yVyFg7ZkFviUAS1BJ7FQtRy2ENCbolDEdQSeBYLUcth\nICG3xaEIcjZLZ7F48um9RM7EQEJEZMXNZ7FcuFzh8af3EjkTAwkRUQNqz2IhIufipFYiIiKSHHtI\niKjV0ekNHGYhcjMMJETUqnAzMyL3xCEbImpVGtrMjIhcFwMJEbUq3MyMyD0xkBBRq8LNzIjcEwMJ\nEbkNW07eTYwKQZeO7czKuJkZeYoLFy4gMjISZWVlZuXvvPMOVq1a5bD7OQMntRKRW7B1sio3MyNP\nJ5PJ6pXNnj3bofdzBgYSInIL9py8y83MiK7bunUrVq5cia5duyI8PBzz58/HvHnzEBgYiMLCQuTm\n5kIIgUWLFiEhIQF6vR6vvvoqdu/ejeDgYDz44IMtVlcO2RCRW+BkVSL77N27F++++y4+/PBD3HLL\nLWaPbdu2DX/961+xfft2DB06FP/4xz8AAFu2bMHBgwexfft2bNq0CcePH2+x+jKQEJFb4GRVItvl\n5ubipZdewvvvv48uXbrUezw5ORmdOnUCAMTExKCwsBAAsG/fPtx1113w9fUFAEyYMKHF6sxAQkRu\ngZNViWwjhMDcuXOh1+sRFBRk8ZqAgADT/8vlchgM1yeIl5WVmT1m7fnOwDkkRM2gM+iRWZgDdXkR\nwvxDEB8aDaVcIXW1WiVOViWyjUwmw9///nds27YNc+bMwYcffmjzcwMCAlBRcWMY9PLly86ookUM\nJERNpDPosSrjE6jLL5rK0s8fxox+UxhKnMQdJ6vyXB1qaUII3HrrrZg7dy7Gjx+PDz74wObn9uvX\nD5999hlmzJgBb29vfPnll06sqTkO2RA10fWekYtmZeryi8gszJGoRuRqapcq1+6bsnHnCSz/4rDF\n/VOIHKV2ma5SqcQ777yD1atX29zTMW7cOERHR2P48OEYN24c+vbt68yqmmEPCVETqcstn41SeO1S\nC9eEXJU9S5WJHKFz587Izc01fd2jRw9kZGSYXbN48WKzr++9917ce++9AK6HmLqPT5o0yUm1Ncce\nEqImCvO3PJkytF3HFq4JuSouVSayHQMJURPFh0YjzL+TWVmYfyfEh0ZLVCNyNVyqTGQ7DtkQNZFS\nrsCMflOQWZiDwmuXENquI1fZkJnEqBDszS40G7bhUmUiyxhIiJpBKVcgqUu81NUgF8WlykS2YyAh\nInIid1yqTCQFziEhIiIiyTGQEBERkeQYSIiIiEhyLhFI1Go1nn76aSQlJSElJQXz5s0z20u/1ubN\nmxEVFYW4uDjExcUhNjYWcXFxyM7OlqDWRERE5CguEUhmzJiBgIAA7Nq1C1999RVOnjyJN9980+K1\n/fr1Q1ZWFrKysnDkyBFkZWUhJiamhWtMREREjiR5ILl27RpiYmKQmpoKHx8fhISEYMyYMfW2uiUi\nIiLXs3v3bgwcOBCpqanNuo/dgWTjxo3QaDTNetGbtWvXDgsXLkRQUJCpTK1WIyTE8sZBhYWFePTR\nR9G/f3/cfffd2Lp1q8PqQkRERLZbs2YNFi1ahPDw8Gbfy+5AsnjxYqSkpGD+/Pk4cuRIsytQV3Z2\nNj799FM8+eST9R4LCgrCrbfeihdeeAG//PILZs2ahRdffBHp6ekOrwcREZG7MRiM+PVsCY7nl6DG\nYHT66/n4+GDjxo3o1q1bs+9l98Zoe/bswc6dO/HNN99g8uTJCA8Px4QJE/Dggw8iICCgWZU5ePAg\nnnrqKcyZMwfJycn1Hr/zzjtx5513mr6+7777sGPHDmzatAlJSUk2v051dbVDe3ncnVarNfuTbmDb\nWMZ2sYztYh3bxjKtVguVSuWQe128Uon3N2ej7FoVAMDfzxvTR8c49eykKVOmOOxedgcSHx8fjBw5\nEiNHjkRZWRl27NiBLVu2YNmyZRg2bBimTp2KPn362F2RtLQ0vPDCC3j55ZfxwAMP2Py8zp074+jR\no3a9VmFhIQoLC+2tYquXn58vdRVcFtvGMraLZWwX69g29QUHBzvkPv/eccIURgCgvKIan313HHOm\nJDrk/s7WrK3j27dvj169eiEqKgonTpzAvn37kJaWhqSkJCxevBiBgYE23efQoUOYN28eli9fjgED\nBli97vPPP0dAQABGjBhhKjt9+jS6du1qV71DQ0PRvn17u57Tmmm1WuTn5yM8PBy+vr5SV8elsG0s\nY7tYxnaxjm1jmaN6jLTVNcgvvFqvXH25AlcrqhHg5+2Q13GmJgWSsrIybNmyBRs3bsSZM2eQnJyM\n119/HcOGDUN5eTnmz5+Pl156Cf/85z8bvZfBYMCCBQvw/PPPWwwj06ZNw6RJkzBixAjodDq88cYb\n6Nq1KyIjI7F9+3bs3r0bGzdutKv+3t7eDusia018fX3ZLlawbSxju1jGdrGObeMcijZe8Fa2QbWu\npk65HD7e7nFsnd21fO6555CWloa2bdtizJgx+Oc//4nu3bubHg8KCsKSJUvM5no0JDMzE3l5eXjj\njTfw+uuvQyaTQQgBmUyG//73vzh37hzKy8sBAH/84x+h0Wjw7LPPori4GF26dMHKlSsRFRVl79sg\nIiJqNdrIvZASF4adGQVm5QNiQuHtJqdL2x1Irly5gsWLF+Puu++GUqm0eI2/v7/FVTKWJCYmIjc3\n1+rjO3fuNPt6xowZmDFjhu0VJiIi8gD33XEr/FRKZBy7CCGAxKiOGNzXvikNUrI7kKxfv96m66ZP\nn253ZYiIiKhpvLxkGNy3Cwb37dJirxkbGwuZTIaamutDRTt27IBMJkNWVpbd93KPgSUiIiJyOY7c\nj0zyreOJiIiIGEiIiIhIcgwkREREJDkGEiIiIpIcAwkRERFJjoGEiIiIJMdAQkRERJJjICEiIiLJ\nMZAQERGR5BhIiIiISHIMJERERNRkarUaTz/9NJKSkpCSkoJ58+ahoqLC7vswkBDdRGfQI/18JjYf\n247085nQGfRSV4mIyKXNmDEDAQEB2LVrF7766iucPHkSb775pt334eF6RL/RGfRYlfEJ1OUXTWUh\nqg64wztWwloREdlOZ9DjRPFpGIVARIfb4N1G6dTXu3btGmJiYpCamgofHx/4+PhgzJgxWL9+vd33\nYiAhj6Yz6JFZmAN1eREq9RpcKC+EDDLT44UVl3DacA4xiJGwlkREjTtfXoi1h75ApU4DAPBV+GBa\n/AR0b9/Faa/Zrl07LFy40KxMrVYjJCTE7nsxkJDHqtsjUqq9Cr1Rj1vaBpuFklJ9uVRVJCKy2aZj\n201hBAC0+ip8dey/mH3Hn1usDtnZ2fj000+xatUqu5/LQEIe63rPyI3hGaVcgUq9FhqdFm2VKlN5\noMLfrvve3OsS5h+C+NBoKOUKh9WbiKgurb7K7OdZrUsVxSivugZ/n3ZOr8PBgwfx1FNPYc6cOUhO\nTrb7+Qwk5LHU5UVmX/sqfFGp10BvrDGVhfp1xG3eXW2+p6V5KOnnD2NGvykMJUTkNEq5Ar4KH2j1\nVRbLnS0tLQ0vvPACXn75ZTzwwANNugcDCXkknUGPSr0Gpdqrv/2D9YWXTIYOqmDEdoqEn7ItQtt1\nRETA73D6xCmb71u31wUA1OUXkVmYg6Qu8Y5+G0REAAC5lxwp3fphx+ndZuV3dEuEwsm/DB06dAjz\n5s3D8uXLMWDAgCbfh4GEPE5tL8aF8kLojXpU6rWo1GvQQRWMLgGhmBh9v6k3Q6PRNHI3c3V7XWoV\nXrvU7HoTETXkrttSEODTDgfVOTAKI+JDb3f6L0IGgwELFizA888/36wwAjCQUCtg75yN2l4MGWS4\npW0wNDot9MYaxHaKNAsjTRHmb3lmeWi7jk2+JxGRrRI7xyGxc1yLvV5mZiby8vLwxhtv4PXXX4dM\nJoMQAjKZDNu3b0doaKjN92IgIbfWlDkbN/diyCAzTWD1U7Zt9jyP+NBopJ8/bFafMP9OiA+NbtZ9\niYhcUWJiInJzcx1yLwYScmtNmbPhzF4MpVyBGf2mILMwB4XXLiG0XUeusiEisgEDCbm1pszZcHYv\nhlKu4ARWIiI7MZCQW2tKbwd7MYiIXA8DCbm1pvZ2sBeDiMi1MJCQW2NvBxFR68BAQm6PvR1ERO7P\nS+oKEBERETGQEBERkeQYSIiIiEhyDCREREQkOQYSIiIiarLjx49j2rRpSExMREpKCmbNmoXi4mK7\n78NAQkRERE2i0+nw2GOPITk5GXv37sW2bdtQXFyMV1991e57MZAQERG1EjUaDa6kZ+DKvnTUVFY6\n/fWqqqowa9YsTJ8+HQqFAoGBgbjnnntw4sQJu+/FfUiIiIhagcoz+chb/SEMVdUAAPXX2xD+6DS0\n69nDaa/p7++P8ePHm77Oy8vD5s2bMXLkSLvvxR4SIiKiVuD8l5tMYQQADNU6nP9yE4QQTn9ttVqN\n6OhojBo1CrGxsZg5c6bd92AgISIicnM1Gg20hRfrlVdfLkZNebnTXz8sLAw5OTnYvn07zpw5g+ef\nf97uezCQEBERuTm5tzfatFXVL/fxhlxVv9xZunXrhlmzZuHbb79FaWmpXc9lICEiInJzMrkcHe8a\nUq/8lsF3wkvhvMNG9+3bh+HDh5vXRSaDTCaDws7X5aRW8ng6gx6ZhTlQlxchzD+EpwUTkVvqOPhO\nKAMDUZJxEBBGBCb0RWBf5x48Gh0djYqKCixduhQzZ86ERqPBihUrkJiYCD8/P7vuxUBCHk1n0GNV\nxidQl98Ye00/fxgz+k1hKCEit9M+Lhbt42Jb7PX8/Pywdu1avPbaaxgwYABUKhWSk5OxcOFCu+/F\nQEIe7XrPiPlEMHX5RWQW5iCpi3N/syAiag169uyJ9evXN/s+DCTk9poz5KIuL7JYXnjtkiOrSERE\njWAgIbfW3CGXMP8Qi+Wh7TrWe53s85mcZ0JE5CQMJOTWmjvkEh8ajfTzh83uEebfCfGh0aava4w1\nWJv1BYo0Nw6L4jwTIiLHYiAht9bcIRelXIEZ/aYgszAHhdcuIbRdx3q9H6c151CovQQvrxur5DnP\nhIjIsRhIyK3ZOuTSEKVc0WCwKNFdtVjOeSZERI7DjdHIrcWHRiPMv5NZWd0hF3voDHqkn8/E5mPb\nkX4+EzqDHkHKAIvX2hN6iIioYewhIbdmy5CLrSxNkA1RdUB/n94okpeazSFpTughIqL6GEjI7TU2\n5GIrSxNkCysu4axvIP7UdyJ+vZrX7NBDRESWMZAQ/cbaBNliXSmOXMrFleoyLvklInISBhKi31ia\nICuEQL7mAs6fvLHKhkt+iYgcj5NaiX5jaYKsdxtv6I01ZmW1S36JiMhx2ENC9BtLE2TzLp/F3sqD\n9a7lkl8iIsdiICG6Sd0JstXV1Rav45JfIiLH4pANUQNiO0YhSGG+D0ljS34t7WVCREQNYw8JUQOU\ncgVGdByE6iCBEt3VRpf8NvewPyIiT+USgUStVmPRokXIyMiAQqHAoEGD8NJLL8HPz6/etf/5z3+w\natUqnD9/Hrfeeitmz56NgQMHSlBr8hRtvNogJjQKKpXKVKYz6H/bt8T89N/mHvZHROSpXGLIZsaM\nGQgICMCuXbvw1Vdf4eTJk3jzzTfrXZebm4u5c+dizpw52LdvH6ZNm4ann34aRUWW948gcobaXpDa\nIZnNx7ZjVcYn0Bn0zT7sj4jIU0keSK5du4aYmBikpqbCx8cHISEhGDNmDDIyMupd++WXX2Lw4MEY\nNGgQlEol7r//fvTq1Qtbt26VoObkqRrqBXHEYX9ERJ5I8kDSrl07LFy4EEFBQaYytVqNkJD6P9iP\nHj2K3r17m5X17t0b2dnZTq8nUa2GekEcfdgfEZGncIk5JDfLzs7Gp59+ilWrVtV7rLS0FP7+/mZl\nAQEBOHXqVEtVj6jBXhBHHvZHRORJXCqQHDx4EE899RTmzJmD5ORki9cIIZr9OtXV1dBoNM2+T2uh\n1WrN/qQbLLVNRMDvEKLqgMKKG/NCQv06IiLgd6bvq5igCMQERQAAaqr1qEHrWvrL7xnL2C7WsW0s\n02q1ZhPmPZnLBJK0tDS88MILePnll/HAAw9YvCYoKAhlZWVmZWVlZQgODrbrtQoLC1FYWNjkurZW\n+fn5UlfBZdVtmzu8Y3HacA6l+nIEKvxxm3dXnD7heT11/J6xjO1iHdumPns/w1orlwgkhw4dwrx5\n87B8+XIMGDDA6nXR0dE4evSoWVl2djZGjRpl1+uFhoaiffv2Tapra6TVapGfn4/w8HD4+vpKXR2n\n0Rn0OHIpFxcrLqOT3y2I7RjV6FBKQ20TgxhnVtelecr3jL3YLtaxbSxjj9ENkgcSg8GABQsW4Pnn\nn7cYRqZNm4ZJkyZhxIgRmDhxIiZMmIBdu3ZhwIAB2Lp1K86ePWu1R8Uab29vdpFZ4Ovr22rbRWfQ\nY03Gv2+sjikCDl/OtXnDstbcNs3BdrGM7WId24askTyQZGZmIi8vD2+88QZef/11yGQyCCEgk8nw\n3//+F+fOnUN5eTkAoGfPnnj77bexaNEiFBYWokePHnj//ffZ3UUArG9WBjS8VJcblhERSU/yQJKY\nmIjc3Fyrj+/cudPs62HDhmHYsGHOrha5mca2bOeGZURErk3yfUiIHKGhHhCg4aW6N9PpdLhy5Qp0\nOp1zKkpERBYxkFCr0FgPSGMblqWlpWH06NGIiIhA7969ERERgdGjR+Onn35yar2JiOg6yYdsyHM1\nNOfDXo31gNTdsOyWtsEABL79dSfSPvsOn733MUpKSsyem5+fj//973+YOnUqFi9e3KR6ERGRbRhI\nSBKNzfmwV3xoNNLPHza7X90t25VyBZK6xJu9dn7mKXz9jw2oumZ56V1paSnWrVuH4cOHY8SIEXbX\nC3Bs8CIiaq0YSEgSjl71Ys+W7RkXDuNkcR50Bj32b/nZahipVV5ejvfee69JgcTRwYuIqLViICFJ\nOGPVS20PSEN0Bj225H6P0qpyGPQGXDp9scHrax05cgQ6nQ5KpdKuOnG5MRGRbTiplSRh66oXR8ss\nzEGVvgoAUFOlQ43OtjNmtFotKioq7H49LjcmIrINAwlJorFVL86iLi+CSukLpbwN2vgo0UZp27CJ\nr68v/Pz87H49qYIXEZG74ZANScKeOR+OFOYfAhlkuKVtMDQKLTr8LgSVl8sbfV5sbKzdwzWAbZNt\niYiIgYQkZMucD0e7OSC0VaqQPGYQLueqoSmvtPqcgIAAPPnkk016PamCFxGRu2EgIY9SNyCM6T0c\nfVQD3RYAABUnSURBVGQ9sfTNpfX2IQGAoKAgTJkyBXfeeWezXpMTWImIGsZAQh6nbkBIeiEeSf2S\n8I9//AOHDx+GRqOBSqVCnz59MH36dHTsyPkeRETOxkBCBGDIkCEYMmQIdDodKioq4OfnB6VSCY1G\n0+Dhj0RE5BgMJEQ3USqVCAoKkroaREQeh8t+iYiISHIMJERERCQ5BhIiIiKSHAMJERERSY6TWoka\noDPo8WvFGZw+qUb34C7c1IyIyEkYSIis0Bn0WJv1Bc6UFsBH64NDRTlIP38YM/pNYSghInIwDtkQ\nWZFZmIPCCvNTedXlF5FZmCNRjYiIWi8GEiIr1OVFFssLr12yWE5ERE3HQEJkRZh/iMXy0HbcSp6I\nyNEYSIisiA+NRqifefgI8++E+NBoiWpERNR6cVIrkRVKuQJ/ipuI/xzagTbtvbnKhojIiRhIiBqg\nlCsQ4XcronpGQaVSSV0dIqJWi4GEPIbOoEdmYQ7U5UUI8w9hbwcRkQthICGPoDPosSrjE6jLL5rK\nuKcIEZHr4KRW8gjXe0YumpVxTxEiItfBQEIegXuKEBG5NgYS8gjcU4SIyLUxkJBHiA+NRph/J7My\n7ilCROQ6OKmVPIJSrsCMflOun09z7RJC23XkKhsiIhfCQEIeQylXIKlLfJOeqzPokX0+k0uGiYic\nhIGEqBE1xhqszfoCRZpiUxmXDBMRORbnkBA14rTmHAorzFfjcMkwEZFjsYeEqBEluqswCgGtTgOd\nQQ+lXAFfhS+XDBMRORADCVEjAhR+uHKtFHpjDQCgUq9FpV6DW9oGSVwzIqLWg0M2RI2QQWb1ESIi\ncgz2kJBHaM7BemX6a+jgG4gqQzX0xhoovNpApfTF5corTq41EZHnYCChVq+5B+sFKQNQYLiItkqV\nWTl3eSUichwO2VCrZ+vBejqDHunnM7H52Hakn8+EzqAHANym6opQP/PwwV1eiYgciz0k1OrZcrCe\ntV6UP94+Fm282uBPcRPx69U87vJKROQkDCTU6tlysJ61XpQjl3LRFgqzXV6bMx+FiIgsYyChVi8+\nNBrp5w+bBY66Qy7WelEuVlzGbQgzfd3c+ShERGQZAwm1erYcrGetF6WT3y1A2Y2vG5qP0tRzcoiI\niIGEPERjB+tZ60WJ7RiF02WnTGV1e1KMQkCr1+KH0z+b7sOeEiIi+zGQEMF6L0pNtd7supt7UoxC\noFhzBTrD9R1cr6/O4fANEVFTMJAQ/cZSL0oNzAPJzT0pWr0WOkMNlPLrG6UBHL4hImoqBhIiO9zc\nk1I7TKNS+pptL89D94iI7MeN0YjsVNuTMuy2FLRVquqddcMdXImI7MdAQtRE8aHRCPPvZFbGHVyJ\niJqGQzZETWTLcmIiIrINAwlRMzS2nJiIiGzDIRsiIiKSHAMJERERSY6BhIiIiCTHOSRETcRTf4mI\nHIeBhKgJeOovEZFjucSQze7duzFw4ECkpqY2eN28efNw++23Iy4uDnFxcYiNjUX//v1bqJZENzR0\n6i8REdlP8h6SNWvW4KuvvkJ4eLhN1z/55JN4+umnnVspokbUPfW3FreNJyJqGsl7SHx8fLBx40Z0\n69ZN6qoQ2ezmU39vxm3jiYiaRvJAMmXKFPj5+dl8/b59+zBmzBj07dsXEydOxNGjR51YOyLLuG08\nEZFjST5kY4+uXbtCLpfjueeeg6+vL1asWIFHH30U33//PQICAqSuHnkQbhtPRORYbhVInnrqKbOv\n58yZg2+++QY//PADxo0bZ/N9qqurodFoHF09t6XVas3+pBsaa5uYoAjEBEUAAGqq9aiBvsXqJiV+\nz1jGdrGObWOZVquFSqWSuhouwa0CSV1eXl4IDQ3FpUv2TSQsLCxEYWGhk2rlvvLz86WugkuqMdbg\nu5wfUaK7iiBlAG5TdUUbL7f+p+Mw/J6xjO1iHdumvuDgYKmr4BLc6qfqkiVLMGbMGEREXP+NVK/X\no6CgAF27drXrPqGhoWjfvr0zquiWtFot8vPzER4eDl9fX6mr41LKK8qxKuMTVMi08PLyQoH2Iork\npfhT3ESPHp7h94xlbBfr2DaWscfoBpcOJEVFRZg2bRrWrFmDzp074/z583jttdfwzjvvwM/PD+++\n+y4UCgWGDRtm1329vb3ZRWaBr68v26WOA4VHUKK/Ch8fH3h5XZ8DXqQpxq9X83jKL/g9Yw3bxTq2\nDVkjeSCJjY2FTCZDTU0NAGDHjh2QyWTIyspCTU0N8vPzodPpAACLFi3CkiVLMG7cOFRWViI2NhYf\nf/wxfHx8pHwL1IpdrLhssZz7jRAROZbkgeTIkSNWH+vcuTNyc3NNX/v7+2PRokUtUS0iAEAnv1ss\nlnO/ESIix5J8HxIiVxbbMQpBCvMl5dxvhIjI8STvIaH/b+/+Y6qu9ziOvw7KgSGKoYurJWrTkt9e\n5YKGLmfaIH+kYU4THTrNm7PVEX9Sbc4fzKXLppYFzSar2ZTpcPljs2zFNFslV0WnTREl+VEMgRDl\nePJ7/2i6IaiHez3ng+c8H//xOR/Z67z9DF9+z5dz0JHZOwUq7fGRag63VOus5/1GAMBDKCTAA3QO\n6Ky4XlHciAcAHsRLNgAAwDgKCQAAMI5CAgAAjOMeEvg05183VVxZooqGavXuFsENqQDQQVFI4LOc\nf93Uxz99roqGqjtrP/72H/37XxmUEgDoYHjJBj7r7ysjVS3WKhqqVFxZYigRAOBeKCTwWRUN1W2u\n87bvANDxUEjgs3p3i2hznbd9B4COh0ICn/XPXrHq3e0fLdZ423cA6Ji4qRU+y94pUP/+V4aKK0tU\n+efvvO07AHRgFBL4NHunQCU/+U/TMQAAD8BLNgAAwDgKCQAAMI5CAgAAjKOQAAAA4ygkAADAOAoJ\nAAAwjkICAACMo5AAAADjKCQAAMA4CgkAADCOQgIAAIyjkAAAAOMoJAAAwDgKCQAAMI5CAgAAjKOQ\nAAAA4ygkAADAOAoJAAAwjkICAACMo5AAAADjKCQAAMA4CgkAADCOQgIAAIyjkAAAAOMoJAAAwDgK\nCQAAMI5CAgAAjKOQAAAA4ygkAADAOAoJAAAwjkICAACMo5AAAADjKCQAAMA4CgkAADCOQgIAAIyj\nkAAAAOMoJAAAwDgKCQAAMI5CAgAAjKOQAAAA4ygkAADAOAoJAAAwjkICAACMo5AAAADjKCQAAMC4\nDlFIioqKlJKSoqysrPvusyxLGzdu1JgxY5ScnKx58+apvLzcSykBAICnGC8kn376qXJyctSvX78H\n7v3888+1b98+5eXl6dtvv1Xfvn21cOFCz4cEAAAeZbyQBAcHa9euXYqMjHzg3p07d2r27Nnq37+/\nQkJC5HA4dOHCBZ08edILSQEAgKcYLyQZGRkKDQ194L7m5madP39eUVFRd9a6dOmivn376tSpU56M\nCAAAPKyz6QDuqq+vl2VZCgsLa7EeFhamq1evuvU9bt26JUlqbGx86PkeZc3NzZKkuro6Xb9+3XCa\njoXZtI25tI253BuzadvtuQQHBysgwPg1AqMemUJym2VZ//Ofvf0XX1NTo5qamocVyWdUVlaajtBh\nMZu2MZe2MZd7YzatVVZWKioqSiEhIaajGPXIFJLu3bsrICBAdXV1Ldbr6uoUHh7u1vcICwtTv379\nFBQU5PdNFADQcQQHB5uOYNwjU0jsdrsGDhyokpISJSYmSpIaGhp0+fJlJSQkuPU9OnfurB49engy\nJgAA+B906MsE1dXVSktL05UrVyRJ06dPV35+vkpLS9XY2KgNGzYoJiZGMTExhpMCAID/h/ErJPHx\n8bLZbHK5XJKkQ4cOyWaz6cSJE3K5XCorK5PT6ZQkTZs2TTU1NZo5c6aampqUnJysTZs2mYwPAAAe\nApv1/9wlCgAA8BB06JdsAACAf6CQAAAA4ygkAADAOAoJAAAwjkICAACM87lCUlRUpJSUFGVlZd13\nn2VZ2rhxo8aMGaPk5GTNmzdP5eXlXkpphruzWbFihWJiYpSQkKCEhATFx8crKSnJSym9r6KiQgsX\nLlRycrJGjBihFStW3PPzjvbv36+JEydqyJAhSk9P15EjR7yc1nvcncuePXsUFRXV4rwkJCT47Ide\nnj17VpmZmUpMTNSIESPkcDju+VEU+fn5Sk1NVWJiombMmKHTp097Oa13uTubLVu2KDo6utWZqa2t\nNZDau3JycjRo0KB7Pu5vZ6YFy4fk5eVZqamp1quvvmotWrTovnvz8/Ot559/3iotLbWuXbtmrV69\n2po4caKXknpfe2azfPlya/PmzV5KZt6ECROs7Oxs6/r161ZVVZWVnp5uvfPOO632nTlzxoqLi7O+\n//57q7m52dq7d681ePBgq6qqykBqz3N3Lrt377ZmzpxpIKH3NTc3W88++6y1detWy+l0WrW1tVZG\nRoa1cOHCVnu/+eYbKykpyTp58qTV3Nxs5ebmWikpKdb169cNJPe89sxm8+bN1vLlyw2kNOvMmTNW\nUlKSNWjQoDYf97czczefukISHBysXbt2KTIy8oF7d+7cqdmzZ6t///4KCQmRw+HQhQsXdPLkSS8k\n9b72zMaf/Pnnn4qLi1NWVpaCg4MVERGhyZMn66effmq1t6CgQKNGjdLIkSNlt9s1YcIEPf3009q7\nd6+B5J7Vnrn4kxs3bsjhcOi1115TYGCgHnvsMb3wwgv69ddfW+3duXOnXn75ZcXFxclut2vu3Lmy\n2Ww6fPiwgeSe157Z+CPLsrRy5UrNmTPnnnv87czczacKSUZGhkJDQx+4r7m5WefPn1dUVNSdtS5d\nuqhv374+e5nZ3dncduzYMU2ePFlDhgzR1KlTffayYdeuXbV27doWH9BYUVGhiIiIVntPnz6t6Ojo\nFmvR0dE+eWbaMxfp708rnTNnjpKSkjR27FifLGmS1K1bN02ZMuXOh3OWlpZqz549GjduXKu9JSUl\nLc6LzWZTVFSUT54XqX2zkaRz585p2rRpGjp0qCZMmODTL39K0o4dOxQUFKTx48ffc4+/nZm7+VQh\ncVd9fb0sy1JYWFiL9bCwMF29etVQqo6jT58+6tevn/Ly8lRUVKShQ4dqzpw5qq+vNx3N406dOqUv\nvvhCr7/+eqvHrl69qm7durVY85czc7+5hIeHq3///lq6dKmOHDkih8Oh7Oxs/fjjjwaSekdFRYVi\nY2M1fvx4xcfH64033mi1p66urs3zcvcnlvsad2YTERGhyMhIrV+/XkePHlV6errmz5+vsrIy7wf2\ngpqaGm3ZskUrV6687z5/PTO3+WUhuc3iXfPbtGDBAq1Zs0Y9e/ZUly5dtGTJEtntdn399demo3nU\nL7/8orlz52rJkiUaNmxYm3v88cw8aC7PPfeccnNzNWjQIAUGBurFF1/U2LFjtXv3bgNpvaN3794q\nKSnRwYMHdfHiRS1evNh0pA7Dndm88sor+uCDD9SnTx8FBQUpMzNT0dHRPntlbd26dZoyZYqeeuop\n01E6NL8sJN27d1dAQECr1llXV9fiEjX+FhAQoF69eun33383HcVjDh8+rPnz5+vtt9/WjBkz2twT\nHh7e5pnp0aOHNyIa4c5c2vLEE0/49Hm5LTIyUg6HQ/v27Wt1pSw8PLzVmj/9jLnfbNriq2fmhx9+\nUHFxsRYsWCDp/v+p8fcz45eFxG63a+DAgSopKbmz1tDQoMuXLyshIcFgso5h3bp1Onfu3J2vb968\nqcuXL6tPnz4GU3nO8ePHtWLFCm3evFkTJ068577Y2NhW99KcOnXKZ8+Mu3P58ssvdeDAgRZrFy5c\n8MnzcuzYMaWmprZYs9lsstlsCgwMbLF+93m5deuWzpw547PnpT2z2bp1q44dO9ZizVfPzN69e1Vb\nW6tRo0Zp2LBhSk9Pl2VZGj58uPbv399ir7+dmbv5TSGprq5WWlqarly5IkmaPn268vPzVVpaqsbG\nRm3YsEExMTGKiYkxnNT77p7Nb7/9plWrVqm6ulrXrl3T+vXrFRgYqDFjxhhO+vD99ddfevfdd7V4\n8WINHz681eOZmZl3/rGdOnWqjh49qu+++05Op1MFBQW6dOnSff+xflS1Zy5Op1Nr1qxRSUmJXC6X\nvvrqKxUVFWn69Oneju1xsbGxamxs1Pr163Xjxg3V1tZqy5YtSkxMVGhoqFJTU3X8+HFJf/+MKSws\n1IkTJ3Tjxg199NFHCgoK0qhRo8w+CQ9pz2zq6uq0atUqXbx4UU6nU9u2bVN5ebkmTZpk+Fk8fNnZ\n2Tp48KAKCwtVWFio3NxcSVJhYaFGjx6ttLQ0vz0zd+tsOsDDFB8fL5vNJpfLJUk6dOiQbDabTpw4\nIZfLpbKyMjmdTknStGnTVFNTo5kzZ6qpqUnJycnatGmTyfge1Z7Z5OTkaN26dUpPT9e1a9cUHx+v\n/Px8BQcHm3wKHlFcXKzS0lKtWbNGq1evls1mk2VZstlsOnDggMrLy9XQ0CBJGjhwoDZs2KCcnBxV\nVlZqwIAB+uSTT3zyJZv2zGXWrFlqamrSm2++qZqaGj355JP68MMPW/wWm68IDQ3VZ599plWrVmn4\n8OEKCQnRsGHDtHbtWknSpUuX1NTUJEkaOXKkFi1apLfeeku1tbWKi4tTbm6u7Ha7yafgMe2ZTVZW\nlmw2mzIzM1VfX68BAwZo+/bt9/wtrkdZ165d1bVr1ztfu1wu2Ww2Pf7445KksrIyvz0zd7NZ/niX\nHgAA6FD85iUbAADQcVFIAACAcRQSAABgHIUEAAAYRyEBAADGUUgAAIBxFBIAAGAchQQAABhHIQEA\nAMZRSAAAgHEUEgAAYByFBAAAGEchAeCWAwcOaPDgwSovL7+z9v7772v06NFqbGw0mAyAL+DTfgG4\nbdmyZaqqqtL27dt19uxZTZ06Vdu2bVNiYqLpaAAecRQSAG5rbGzUSy+9pLlz56qgoEAjRoyQw+Ew\nHQuAD6CQAGiXn3/+WbNmzdIzzzyjgoICderUyXQkAD6Ae0gAtMulS5cUEhKiP/74Q/X19abjAPAR\nXCEB4Lby8nJNmjRJmzZt0o4dO+RyufTxxx+bjgXAB3CFBIBbbt26paVLl2rcuHFKSUnRypUrVVxc\nrB07dpiOBsAHUEgAuCUvL0/V1dVatmyZJKlnz57Kzs7We++9p7KyMrPhADzyeMkGAAAYxxUSAABg\nHIUEAAAYRyEBAADGUUgAAIBxFBIAAGAchQQAABhHIQEAAMZRSAAAgHEUEgAAYByFBAAAGEchAQAA\nxlFIAACAcf8FvGC16P+m21gAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7efbd5cc66d8>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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lRgGlrKwMM2fOxPLly3H58mXk5+fjxx9/xPHjxw0tQf7+/hAEAT/99BMuXLgAT09PvPji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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7efbd5c47710>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# create sample data\n",
"import numpy as np\n",
"\n",
"def gauss_noise_2d(meanx, meany, sigmax, sigmay, n, kind):\n",
" xs = meanx + np.random.randn(n) * sigmax\n",
" ys = meany + np.random.randn(n) * sigmay\n",
" res = pd.DataFrame([xs, ys], index=[\"x\",\"y\"]).T\n",
" res[\"kind\"] = kind\n",
" return res\n",
"\n",
"dat1 = gauss_noise_2d(3,3,0.25,0.25,30, 1)\n",
"dat2 = gauss_noise_2d(2,2,0.1,0.3,30, 2)\n",
"dat3 = gauss_noise_2d(2,3,0.3,0.1,30, 3)\n",
"data = pd.concat([dat1, dat2, dat3])\n",
"features = [\"x\", \"y\"]\n",
"\n",
"# clustering\n",
"from sklearn.cluster import KMeans\n",
"\n",
"def do_k_means(k):\n",
" kmeans = KMeans(n_clusters=k, random_state=0).fit(data[features])\n",
" \n",
" p = sns.lmplot(\"x\", \"y\", data, hue=\"kind\", fit_reg=False)\n",
" plt.title(\"k=%s-means with cluster centers\" % k)\n",
" # plot cluster centers\n",
" for cx,cy in kmeans.cluster_centers_:\n",
" plt.scatter(cx,cy, s=60, c=\"black\")\n",
" return p\n",
"\n",
"for i in range(1,4):\n",
" do_k_means(i)"
]
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": true
},
"source": [
"# Gaussian Mixture Models\n",
"- das agglomerative Clustern ist eigentlich schon recht gut, aber...\n",
"- oft sind Daten normalverteilt\n",
"- Wenn wir das als Annahme nehmen, können wir sogar überlappende Bereiche gut clustern\n",
"\n",
"$$ \\epsilon = Daten - \\sum_{i=1}^n N(µ_i,\\sigma_i) \\rightarrow \\min$$\n"
]
},
{
"cell_type": "code",
"execution_count": 48,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/usr/local/lib/python3.5/dist-packages/numpy/ma/core.py:6385: MaskedArrayFutureWarning: In the future the default for ma.maximum.reduce will be axis=0, not the current None, to match np.maximum.reduce. Explicitly pass 0 or None to silence this warning.\n",
" return self.reduce(a)\n",
"/usr/local/lib/python3.5/dist-packages/numpy/ma/core.py:6385: MaskedArrayFutureWarning: In the future the default for ma.minimum.reduce will be axis=0, not the current None, to match np.minimum.reduce. Explicitly pass 0 or None to silence this warning.\n",
" return self.reduce(a)\n",
"/usr/lib/python3/dist-packages/matplotlib/contour.py:1538: UserWarning: Log scale: values of z <= 0 have been masked\n",
" warnings.warn('Log scale: values of z <= 0 have been masked')\n"
]
},
{
"data": {
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FQjGstkilUkilUiiVypAim4IgwOv1ivuyWq2iqPX5fDCZTDCZTOA4DsnJyUhL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JhtVpKFLpt8kH42xVpISBAlwzBLxiwoAyyHh4eRSCSQSqVw7NgxtLW1obu7GwaDoaj9Xkik02lM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\nYB+FAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7efbd580b4e0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from sklearn.mixture import GaussianMixture\n",
"gmm = GaussianMixture(n_components=3, covariance_type='full').fit(data[features])\n",
"data[\"predicted\"] = gmm.predict(data[features])\n",
"sns.lmplot(\"x\", \"y\", data, hue=\"kind\", fit_reg=False)\n",
"plt.title(\"Gaussian mixture model with -loglikelihood\")\n",
"\n",
"# display predicted scores by the model as a contour plot\n",
"from matplotlib.colors import LogNorm\n",
"x = np.linspace(1., 4)\n",
"y = np.linspace(1, 4)\n",
"X, Y = np.meshgrid(x, y)\n",
"XX = np.array([X.ravel(), Y.ravel()]).T\n",
"Z = -gmm.score_samples(XX)\n",
"Z = Z.reshape(X.shape)\n",
"\n",
"CS = plt.contour(X, Y, Z, norm=LogNorm(vmin=1.0, vmax=1000.0),\n",
" levels=np.logspace(0, 3, 10))\n",
"CB = plt.colorbar(CS, shrink=0.8, extend='both')"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.5.2"
}
},
"nbformat": 4,
"nbformat_minor": 1
}
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