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@polinabee
Last active December 18, 2020 14:19
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K-Means clustering algorithm from scratch
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Deterministic Models and Optimization: Clustering methods, K-Means"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Part 1: Importing data"
]
},
{
"cell_type": "code",
"execution_count": 101,
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"import math\n",
"from numpy import random\n",
"import pandas as pd\n",
"from sklearn.neighbors import DistanceMetric\n",
"import matplotlib.pyplot as plt\n",
"import seaborn as sns\n",
"sns.set_theme(style=\"darkgrid\")\n",
"random.seed(23) \n"
]
},
{
"cell_type": "code",
"execution_count": 89,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"<ipython-input-89-e3187d420c64>:3: ParserWarning: Falling back to the 'python' engine because the 'c' engine does not support regex separators (separators > 1 char and different from '\\s+' are interpreted as regex); you can avoid this warning by specifying engine='python'.\n",
" synthetic = pd.read_csv('synthetic.txt', sep=\" \", header=None)\n",
"<ipython-input-89-e3187d420c64>:6: ParserWarning: Falling back to the 'python' engine because the 'c' engine does not support regex separators (separators > 1 char and different from '\\s+' are interpreted as regex); you can avoid this warning by specifying engine='python'.\n",
" thyroid = pd.read_csv('thyroid.txt', sep=\" \", header=None)\n"
]
}
],
"source": [
"# load data from google drive\n",
"\n",
"synthetic = pd.read_csv('synthetic.txt', sep=\" \", header=None)\n",
"synthetic.columns = [\"i\", \"j\"]\n",
"\n",
"thyroid = pd.read_csv('thyroid.txt', sep=\" \", header=None)\n",
"thyroid.apply(pd.to_numeric)\n",
"thyroid.columns = ['a', 'b','c','d','e']\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Part 2: Setting up algorithm for K-Means"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [],
"source": [
"# Function definitions to implement k-means\n",
"\n",
"# reformat means to use in centroids function\n",
"def means_to_np(m,n): \n",
" mean_array = [np.array(row) for row in m.to_numpy()]\n",
" return mean_array\n",
"\n",
"# for dataframe, get n random points to use as seed centroids\n",
"def get_centroids(d,n):\n",
" centroids = []\n",
" for _ in range(n):\n",
" c = np.array([])\n",
" for i in range(len(d.columns)):\n",
" c = np.append(c, d.sample().values[0][i])\n",
" centroids.append(c)\n",
" return centroids\n",
"\n",
"# euclidean distance definition\n",
"def euclidean(a, b):\n",
" return sum((p-q)**2 for p, q in zip(a, b)) ** .5\n",
"\n",
"# assign label to points based on nearest centroid\n",
"def assign_clusters(d, n, c):\n",
" centroids = c\n",
" assignments = []\n",
" d.drop('assignments',inplace=True,axis=1, errors='ignore')\n",
" for x in d[[col for col in d.columns]].to_numpy():\n",
" distances = [euclidean(x,y) for y in centroids]\n",
" assignments.append(distances.index(min(distances)))\n",
" d['assignments'] = pd.Series(assignments)\n",
" return d\n",
"\n",
"# iterative function that puts it all together\n",
"def mykmeans(d,n):\n",
" c = get_centroids(d,n) # assigns initial random n centroids\n",
" assigned_df = assign_clusters(d,n,c)\n",
" means = assigned_df.groupby('assignments').mean() # gets means of groups\n",
" mpath=means # tracking the means (for fun!)\n",
"\n",
" reassigned_df = assign_clusters(d,n,means_to_np(means,n)) # recalculate new groups based on means\n",
" newmeans = reassigned_df.groupby('assignments').mean() # reassign means based on new groups\n",
" \n",
" diff = False\n",
" while diff == False: # iterate through mean and cluster reassignment until convergence (when means stop moving)\n",
" reassigned_df = assign_clusters(d,n,means_to_np(means,n))\n",
" newmeans = reassigned_df.groupby('assignments').mean()\n",
" diff = means.equals(newmeans)\n",
" mpath = mpath.append(newmeans)\n",
" means=newmeans\n",
"\n",
" return reassigned_df,means,mpath\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Part 3: K-means implementation\n",
"\n",
"- In this section I apply the algorithm above. \n",
"- I found it interesting to show the paths of the means as they are recalculated until convergence\n",
"- the trailing x markers are the old means for each group. The big Xs are the final means."
]
},
{
"cell_type": "code",
"execution_count": 90,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Text(0.5, 1.0, 'K-Means Clustering Showing \"Traveling Means\", K = 4')"
]
},
"execution_count": 90,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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\n",
"text/plain": [
"<Figure size 864x432 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# implementation and visualization using synthetic dataset from class and k = 4\n",
"\n",
"sdata,sm,smpath = mykmeans(synthetic,4)\n",
"plt.figure(figsize=(12,6))\n",
"\n",
"g = sns.scatterplot(data=sdata,x='i',y='j',hue='assignments',alpha=0.3,s=10,palette='colorblind')\n",
"g = sns.scatterplot(data=smpath,x='i',y='j',hue='assignments',marker='X',s=100,alpha=0.7,palette='colorblind')\n",
"g = sns.scatterplot(data=sm,x='i',y='j',hue='assignments',marker='X',s=300,color='r',palette='colorblind')\n",
"g.legend_.remove()\n",
"g.set_title('K-Means Clustering Showing \"Traveling Means\", K = 4')\n",
"\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Below, I apply the algorithm to the class data with the specified 15 clusters. \n",
"I did not plot the trails for clearer visuals.\n",
"I noticed that the groups are not always ideally labeled, since centroids calculated from initially randomly picked points. "
]
},
{
"cell_type": "code",
"execution_count": 107,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Text(0.5, 1.0, 'K-Means Clustering With K=15')"
]
},
"execution_count": 107,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 864x432 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"colors = sns.color_palette([\"#D4790C\", '#7D74E8','#A259F8','#09A85D',\\\n",
" '#C5461E','#4EA6AA','#B3505A','#2AB4AE',\\\n",
" '#FA7D68','#FE1D36','#1CAC47','#F66230',\\\n",
" '#9CC6D6','#E2BFCA','#FEAD5B'])\n",
"\n",
"\n",
"sdata,sm,smpath = mykmeans(synthetic,15)\n",
"plt.figure(figsize=(12,6))\n",
"\n",
"g = sns.scatterplot(data=sdata,x='i',y='j',hue='assignments',alpha=0.3,s=10,palette=colors)\n",
"g = sns.scatterplot(data=sm,x='i',y='j',hue='assignments',marker='X',s=300,palette=colors)\n",
"g.legend_.remove()\n",
"g.set_title('K-Means Clustering With K=15')\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The algorithm works dynamically for any N dimensions. Below, I apply it to the 5-dimensional thyroid data set."
]
},
{
"cell_type": "code",
"execution_count": 109,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<style scoped>\n",
" .dataframe tbody tr th:only-of-type {\n",
" vertical-align: middle;\n",
" }\n",
"\n",
" .dataframe tbody tr th {\n",
" vertical-align: top;\n",
" }\n",
"\n",
" .dataframe thead th {\n",
" text-align: right;\n",
" }\n",
"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>a</th>\n",
" <th>b</th>\n",
" <th>c</th>\n",
" <th>d</th>\n",
" <th>e</th>\n",
" <th>assignments</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>0</th>\n",
" <td>3195023</td>\n",
" <td>3455331</td>\n",
" <td>3497964</td>\n",
" <td>3068822</td>\n",
" <td>3206710</td>\n",
" <td>3</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1</th>\n",
" <td>3651455</td>\n",
" <td>3412754</td>\n",
" <td>4131996</td>\n",
" <td>3248619</td>\n",
" <td>3603214</td>\n",
" <td>0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2</th>\n",
" <td>4716462</td>\n",
" <td>4051411</td>\n",
" <td>3638860</td>\n",
" <td>3150548</td>\n",
" <td>2946503</td>\n",
" <td>0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3</th>\n",
" <td>3347167</td>\n",
" <td>2433481</td>\n",
" <td>3075276</td>\n",
" <td>3150548</td>\n",
" <td>3058020</td>\n",
" <td>2</td>\n",
" </tr>\n",
" <tr>\n",
" <th>4</th>\n",
" <td>3042879</td>\n",
" <td>2859252</td>\n",
" <td>3004828</td>\n",
" <td>3166893</td>\n",
" <td>2859768</td>\n",
" <td>3</td>\n",
" </tr>\n",
" <tr>\n",
" <th>...</th>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" </tr>\n",
" <tr>\n",
" <th>210</th>\n",
" <td>4031814</td>\n",
" <td>2688944</td>\n",
" <td>2863932</td>\n",
" <td>3199583</td>\n",
" <td>4297098</td>\n",
" <td>2</td>\n",
" </tr>\n",
" <tr>\n",
" <th>211</th>\n",
" <td>5629326</td>\n",
" <td>2199307</td>\n",
" <td>2441244</td>\n",
" <td>3624557</td>\n",
" <td>3652778</td>\n",
" <td>2</td>\n",
" </tr>\n",
" <tr>\n",
" <th>212</th>\n",
" <td>2890735</td>\n",
" <td>2390904</td>\n",
" <td>2934380</td>\n",
" <td>3117858</td>\n",
" <td>3491697</td>\n",
" <td>2</td>\n",
" </tr>\n",
" <tr>\n",
" <th>213</th>\n",
" <td>2434303</td>\n",
" <td>2305750</td>\n",
" <td>2723036</td>\n",
" <td>3264964</td>\n",
" <td>4433397</td>\n",
" <td>2</td>\n",
" </tr>\n",
" <tr>\n",
" <th>214</th>\n",
" <td>2814663</td>\n",
" <td>2433481</td>\n",
" <td>2934380</td>\n",
" <td>3134203</td>\n",
" <td>3702341</td>\n",
" <td>2</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"<p>215 rows × 6 columns</p>\n",
"</div>"
],
"text/plain": [
" a b c d e assignments\n",
"0 3195023 3455331 3497964 3068822 3206710 3\n",
"1 3651455 3412754 4131996 3248619 3603214 0\n",
"2 4716462 4051411 3638860 3150548 2946503 0\n",
"3 3347167 2433481 3075276 3150548 3058020 2\n",
"4 3042879 2859252 3004828 3166893 2859768 3\n",
".. ... ... ... ... ... ...\n",
"210 4031814 2688944 2863932 3199583 4297098 2\n",
"211 5629326 2199307 2441244 3624557 3652778 2\n",
"212 2890735 2390904 2934380 3117858 3491697 2\n",
"213 2434303 2305750 2723036 3264964 4433397 2\n",
"214 2814663 2433481 2934380 3134203 3702341 2\n",
"\n",
"[215 rows x 6 columns]"
]
},
"execution_count": 109,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"tdata,tm,tpath = mykmeans(thyroid,5)\n",
"tdata"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Part 4: Assessing quality\n",
"In the next part I calculate the quality of the clustering algorithms using the Davies-Boulder and Dunn indices. I used sklearn's built in DB score, and construct helper functions for the Dunn score. I also plot the indicies for the thyroid dataset for a set of K values to determine the ideal K for each index/score.\n",
"\n",
"Here is the DB score for synthetic data K-means with k=15:"
]
},
{
"cell_type": "code",
"execution_count": 93,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Davies-Bouldin Score for K = 15: 0.8264476971581562\n"
]
}
],
"source": [
"print('Davies-Bouldin Score for K = 15: ',davies_bouldin_score(sdata[['i','j']], sdata.assignments))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"And here is a graph of DB scores for the thyroid data set, with ks ranging from 2 to 30:"
]
},
{
"cell_type": "code",
"execution_count": 102,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Running Davies-Bouldin score calculations\n",
"Best score is with 7 clusters :0.8694767723812292\n"
]
},
{
"data": {
"image/png": 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RBaffj8nLQZlJhX99Tw6fIIjkSdjhr1y5EnV1dREfF4vFePbZZ/Gf//mfWLhwIQ4cOID77rsv0acbVTjdPgCAXCrGWRONONbQDavDNcRWEQQx3IlLY9mxYwf/740bN4Y8vn79+gG3Z82ahXfeeSdB00YvnKQjk4oxsyIfW784gdqjHbh4RtEQW0YQxHCGKm2zEE7SkUtFKDOpkKeRk6xDEETSkMPPQpxBET7DMJhZYcR39Wb+foIgiEQgh5+FuII0fACYOSkfLo8P39Wbh9IsgiCGOeTws5D+CN//9kwu1UEpl5CsQxBEUpDDz0L6NXx/hC8RizB9Qh5qj3ZkbSEaQRDZDzn8LMQ1yOEDwMyKfNh63DjWRP2ICIJIDHL4WYjT7QMDQCrpf3vOHJ8HsYghWYcgiIQhh5+FuNxePkOHI0chQWWZjhw+QRAJQw4/C3G5vZBLQ9+amRONaDX3oLnTMQRWEQQx3CGHn4U4AxH+YM6amA8AFOUTBJEQ5PCzEKfbN2DDlsOgUaDMpMJ+cvgEQSQAOfwsxBUhwgfgb6bW2I1uaqZGEESckMPPQpwRNHzAL+uwAGqpRz5BEHFCDj8LiaThA0BpgQp5GgXJOgRBxA05/CzEFUHDB+BvpjYxHwfqzXC6qJkaQRDCIYefhfgj/MhvzVkT8+H2+HCAmqkRBBEH5PCzEH8efvgIHwAm8c3U2jNoFUEQwx1y+FlIpLRMDolYhDPG6nH4VFfmjCIIYthDDj/L8PlYeLy+iJu2HAaNAtYeSs0kCEI45PCzjMGtkSORq5TC5fbB7aGNW4IghEEOP8twDRp+EgmVUgoAsPd60m4TQRAjA3L4WYbgCF8hAQA4et1pt4kgiJEBOfwsY/A820hwEb6jjxw+QRDCIIefZQyeZxuJfkmHHD5BEMIgh59lCJd0yOETBBEfgh2+3W7H4sWL0dDQEPGY+++/H1u2bOFvNzU14frrr8eCBQtwxx13wOGgwR2x4CSdWGmZ/ZIObdoSBCEMQQ6/trYWy5cvR319fdjHW1tbcfvtt2P79u0D7n/00Ufxk5/8BNu3b8e0adPwwgsvJG3wSKdf0onu8GVSESRiEUX4BDHMaO50wOP1DclzC3L4mzZtwpo1a1BQUBD28ffeew+XXnopFi5cyN/ndruxZ88ezJ8/HwCwdOnSkB8EIpR+SSf6W8MwDHKVEnL4BDGMsPe68chLX+PvtU1D8vwSIQetW7cu6uO33HILAGDfvn38fRaLBSqVChKJ/ymMRiNaW1sTtXPU4BKo4QN+WYfSMgli+NDZ3Qevj8Xp9qGRtwU5/ERgWTbkPoZh4jpHXp4qVeakBaNRnfJzSmT+t6RojBYKWfS3R69RwOVlo9qRDhtTzXCwERgedpKNqSFdNh5rtQMALHZn0s+RyN+nzeEbDAbY7XZ4vV6IxWK0t7dHlIQi0dlph88X+sORDRiNarS321J+XnNXLxgA1q4e2GL8QMrFIjSbeyLakS4bU8lwsBEYHnaSjakhnTbWN3QBAE632pJ6jkg2ikRM1EA5bWmZUqkUs2bNwrZt2wAANTU1mDNnTrqebsTAzbMVcjVEGj5BDC/M1r7A/528fJtJEnb4K1euRF1dXdRj1qxZg02bNmHRokXYu3cv7r777kSfbtTgijH8JJjcgIYfTj4jCCL7MNuc/L/bLL0Zf/64JJ0dO3bw/964cWPI4+vXrx9wu7i4GK+++mqCpo1OnDGGnwSjUkrh9bHoc3mhlKdNnSMIIkWYrX1QyiXodXrQaulBSUFm9ymp0jbLiDbPdjBctS1l6hDE8MBsdWJyqQ4A0JrtET6RfmLNsw0muNo2P51GEcMan4/FO38/jqMN3ZBIRJCIGEgkIkjF/uI9iUQEiZhBuUmNC88cM9TmJkVPnwc5isTd2ru7TkAilWDRuaUptMqPz8eiy+7EeVNNON5sRYu5J+XPEQty+FlGvJIOQP10iMi4PT5sfO8A9h5ux7gxGri9Png8Pv//vT54vP4Ja30uL7xeFrMqCwR//rKNpg4HHnnpa9x//VmYWKJL6Bx7DrWhucOBcyflI1+nTKl93Q4XvD4WBo0chXol2sjhEy63D1qVTNCxXE98cvhEOPpcHjy3pQ7f1Vuw7IcVuOLcsojH7j/agd9t/gYnW2yYFJAchhtHTnfBx7JoaHck7PAtVid8LPDJvgYsu3RiSu2zBDZs9Wo5Cgw5+OZYZ0rPLwTS8LMMZyAtUwjUE5+IhL3Xjf/3l/04dLILN1dNiersAWB8kQYAcKypOxPmpYX6Fn9eOpf6GC99Lg96nB5IxAw+r21CrzO1jQk5uwxqBQoNObA6XCl/jliQww/DiWYrTjRbh+S5/ZKO8LRMgCJ8YiBmax+efG0fTrfZcefSaYJ0eU2ODAU6JY43Ds3nPhXUt/htN1udMY4MDxeBV104Hn0uLz5Pcb8bLiXToJHDpPfLRZlOzSSHH4Y3PjmCV7YfHpLndsWh4UvEIihkYnL4BE9zpwNPvrYPXXYn7rluBs6aaBT8t+OLNcM2wnd7vGgM9Kex2BKL8LkfivOnFWJyqQ6f7D0Nry91XS3N1j5IJSKolFKY9DkAkPGNW3L4YeiyOdHYYU/pmy0Up9snWNIB/KmZDhpkTgA42tCF9a//Ey6PD79a/gNMLtPH9ffjx2jQZXclLIkMJafbHPD6WMhl4gHFTfFgDvxQ5OuUuOLcUnRandh3uD1lNpptThjUcjAMg4JAhN9qIYc/pLAsi26HCx4vi5bOzL4ZPp8/YyKeLAmVUkoaPoFDJy349Qu7IJOI8cBPz0Z5YfyNtSYUawEAx5uGn6zDyTnTx+fBYnMmVH3OSTp5WgVmVOTDpFfiw69Pp6yS3WLtg0GjAOCfd2HQyNFKEf7Q0uP0wOP1v8Gn2+wZfW6h4w2DUVE/nVGPvdeN327+Bvk6JX59w9koNOQkdJ7SAhUkYtGwlHXqm23Q5EhRUayF2+NL6DthtjqhyZFCKhFDxDC44pxSnGi24mhjataDi/A5TPqcjBdfkcMfRJfdxf870w7fJXCAeTC51BN/yDnVaoPV4Yp9YJrYfaAFTrcX9/30bOiDHEq8SMQijC1U49gwjfDHjtHAoPG//kQ2bi02J/RqBX979rQxyFVI8NHXp5O2z+vzocvuhF7Tf36TIYci/KHGavd/UBgGON2e4Qjf498ziCfCz1VKKcIfYn6zqRabPzs2JM/Nsiw+r23CuDFqjCvSJn2+8UUanGyxDdkIvkRwur1o7HBgbKGad9jmBDZuzbY+/gcDAOQyMeadVYx/HmlHW5Jae7fdBZbFgPOb9Eo4+jwZ/f6Swx9EVyBSGzdGk/kI35WApKOQoqfPk7VzA0Y6LrcXVocL9UOUxnusyYrGdgfmzChKyfnGF2ng9vjQkOFgJxlOt9rBssDYwiQjfKsz5Arp0rNLIBIx+HhvQ1I2cvYY1AMjfAAZjfLJ4Q+iOyDpTBtnQLfdBWtP5i7VnQlKOiz8ew+Zhtoy9wcITR09Q9Lf/PP9TZBLxTh3iikl55sQuEo4Nozy8U8ENmzLC9XQ5MogFjH8BqxQuKKrwQ5fp5Lj/KkmfPFNc1LJEdwVx0AN35+pk8nUTHL4g7A6XJBKRJgYKC/PZJQfzzxbDpXS315hKHT8Vz48jAc3/gNNHUMznzMb6Ao4Fq6kP5P0Oj34+lArzptakLL22AaNHFqVDMeH0cZtfbMNOpUMerUcIoaBTiWPW9Kx8EVRipDHLj+nFE63F5/tT7wQi4/wgyQdo04JEcNkdOOWHP4guhxOaHNlKA30qW7IoMN3uv26aTx5+EPZQO14kxXNnT1Y9+pefHOsI+PPnw102fsjyZOtmR3d94/vWuFy+zBnRnHKzskwDMaP0Qyr1Mz6FivGFmr42waNPG5Jh6+CDbPpXWZSY0q5Hp/sPZ3w3obZ2ge5TDzgh1kiFiFfq0h6fyAeyOEPotvuglYlgyZHBq1KltEIv1/Sia/wChgah2+xOTGzIh9GnRK/ffsbfPCPk6NO5uGyuqQSEU62ZNbhf76/CSVGFcaNSe3A7QnFWrRaeodFMkCv04OWzh6MDVoDg0YRd7UtV2ymDxPhA8D8c8vQZXdhz6G2hOwMLroKpsCgJElnKLE6XNDm+n/lSwtUQyTpCH9bhqqBGpfrPG6MGg/89GzMqizA2zuPYeP73w2Jlj1UdNmdkIhFqCjWZjTCP9liw8lWG+bOLBI0/zgeJgQaqQ0HWedUqw0sMCDC16vlsNic8MURfPCdLCN0qp023oAxeTn48OtTCQU15qCiq2AKA7n4mQqUyOEPosvu5NsTlxao0NThyFiKWkIRPi/pZHbTlpMydGo55FIxbq8+Az+aMx7/ONCKp974Z9ybZsOVLrsTOpUMYwvVaGy3Z+yz8lltE6QSEc4/IzWbtcGMLdSAYYbHxi3XIXNsUGWxQS2Hx8vC1iM8CLLYnFAHiq7CwRVinWq14/CprrjtHFx0xWEy5MDp8qI7Q3Uc5PCDcHt8cPR5oM0NOHyjCl4fi+YMtVhIpNI2RyEBg8xLOv0Rkf9DzDAMlswei58vPRNNnT1Y+797hmXFZrx02ZzQqeUoL1TD42UzsoHtdHnxjwMtmDW5gJf0UolcJkaJUTUsIvz6FhvyNHJocvsjcy6SjkfWMVudA1Imw3HBGYVQ50jx4den4rLR7fHB6nCFjfBNhkBPnQzJOuTwg7AFUjB5h5/hjVsXt2krEf62iBgGOQpJxiWd4Ag/mLMmGfHgDWdDKhbhqdf/hd0HWjJqV6bpsrugU8lRbvJHmJnQ8b8+1Io+lxdzZ6Ym9z4cE4o0ON5si0sWGQrqmwdu2AJIKBffYuuLWaUsk4px0fQx+OZ4Jx+cCYH7roSN8ANdMzOVqUMOPwhuA04biFoL83IgEYsypuNz82zj1WRVQ9BeoStoes9gSowqPHLjORg7Ro0/bzs4rKo244WTdIx6JRQycUZ0/M9rmzAmLwcTS5KvrI3E+CItvyGaKpxub0o/Cz19brRaegds2ALor7aNo+un2eockDIZifFjtGBZxHUlxw8+CRPh52kUkIgZivCHgm6H34lxEb5YJEJxfi5Ot2VmMy6eXvjBqIagvYLF7oRMIkJOhPxvlVKK2dMK4fGyQ9pnJp30uTzoc3mhV/nzv8tM6rQ7/IZ2O441WnHx9NRv1gYzoTi1E7BYlsVj/7sXL239NiXnA/qvpgZH+OocKSRi4cVXkYquwlFSkAsgvvqc4MEngxGJGBh1SorwhwKuylan6n9jSgpyMxjhx9camcPfQC2zm7aWgHYdzelwP5yZ2pDKNIM/L+UmNU632tPa5uLz/U0QixjMPrMwbc8B+DcTlXJJyvLxmzt70NThwNcHW1NyPqB/w3ZwK2gRw0Cvlgvui88XXcXQ8AF/sZRMKoqr9QSf8hnhB8Wkz1wTNXL4QXCOSZ3TvxFWWqCGtcedEaflimOebTC5isxH+F0254AfxnBw6a0j1eFz2iyX1VVeqILL40Nzmr68bo8Xuw+04AeTjNDkCBt0nygihsH4otQVYH173D+wu83cg46u1ESzJ1psMOoUfGpyMHq1QrCkEy0CH4yIYVBiVMW1r2e2OZEjl0AhC381bDIo0dbVm5H9EnL4QXQ7XFAppZCI+5eF27jNhKwTzzzbYFRKKewZ37R1xbwE5iL8kSrpWLiN66AIHwBOpWnjdu/hdjj6PJiTxs3aYCYUadDQbkefK/mrx7rjnXyV6aEE0hrDEW7DlsOgkQuWdCzWyPtR4Sgx5qKh3SE4d94SY3/AZMiB2+Pj7Ugngr2L3W7H4sWL0dAQ2jXu4MGDuPrqqzF//nw8+OCD8Hj8H5CamhpcdNFFqK6uRnV1NTZs2JA6y9NAd2ADLph+h59+WSdRDT9XKYHTldoNsWiwLAuL3cmnZEaCS5Xrto/MnPwu20BJpzAvBzKJiJcaUs3n+5uQr1VgSnl8owsTZXyRf4Oyvjm51+N0eXH4dBcuOnMMNLkyHDplSdo2e68bHd19A/LvgzGoFYKLr7i+O8Idvgr2XveA2RlRzx+h6IqDn2+bgRYLghx+bW0tli9fjvr6+rCP33fffXj44Yfx4YcfgmVZbNq0CQBQV1eH1atXY+vWrdi6dStWrVqVMsPTQbfDxUelHCqlFHq1PCMOP955thx8tW2GZB1Hnwdujy8kJXMwUokIuQrJiJZ0ZFIRlHL/eyYWiVBaoErLxm2LuQeHT3dh7swiiNK4WRvM+KLUbNwePm2Bx8ti+oQ8nDkhH4dPWZKuLOVGGkZy+Hq1HF6fsISBWEVXg+GCwEaBOn6koisObkJZWwZ0fEEOf9OmTVizZg0KCgpCHmtsbERfXx9mzpwJAFi6dCm2b98OwO/wa2pqcOWVV+Lee+9Fd3d2F3J0213Q5Ia+MaUF8Wl2ieJMUMPPdAO1aCmZg9HkykaspONPyRy4cV1WqMap1tTnr39e2wQRw+DCM8ek9LzRUCmlMOmVSev4dcfMkElFmFSqxZkT8tBpdaK9O7lB6dxVR6TZvZyEIkTWMYfpgx+NYmPgql+Aw3e5vbD3uiP26AEAnUoGmVSEFnP6M3UEOfx169Zh1qxZYR9ra2uD0WjkbxuNRrS2tvL//vnPf46tW7dizJgxWLt2bQpMTg/+4eWhkg7gd/jNnT1we9Irmbg8iWn4XLWloy8zmTr92nXsjUNtrmwER/iukI3rcpMafS4v2lOYZufx+rCrrhkzKvJibpSnmvFFWhxvsiYVkded6ERlmR5SiRjTKvIBAIdPJifr1LfYYNIrkROh0tgQRy6+xdYnKEOHg7vqFxIEWqJ04eRgGAYFuhy0ZkDSSbqJdrgPAhfxPP/88/x9t9xyCy677LK4zp2Xp0rOuDiw97jg8bIoMmlgNA6MGs6YYMTfdp9Enw8oCnps8HHJ4vb4oFUr4j5vidNf9SeSSkL+NtU2AoD3uBkAMKE8D8YYA7MLDLn4vqErqh3psDEdDLbT1uvGxBLdgPtnVpqADw7B0uPBtMnJvy6WZfH85lrYety4at7EmGuV6rWcMbnAXy0tkcR8r8PR1GFHm6UXP5pXAaNRDZZloVXJUN9mx9IkbD3VZsfUcYaIr1em9AcjLl/sNemyuzB9onHAcbH+ZnyxFs3m3pjHNXX5f3DGl+mjHls+RoP65u643r9E3uukHb7JZEJHR38v9Pb2dhQUFMBms+Gvf/0rbrzxRgD+D65EEt/TdXamN6c5mMZA5ZwELNrbB2qwWqVfZvnmcCvUMn8EbjSqQ45Llj6XFz6vL+7zuvsCU5darWgv7P+RTIeNAHCq2S/N+VzumOeXS0QwW/siHpcuG1PNYDtZlkVndy/OHGcYcH+OhIFYxKDu+zZUloTPIBEKy7L4y6ff45O9DVg8uxylecqoa5WOtSzQ+B3nnm+bEpqq9fk+f5LH2IJctLfbYDSqMbFEh/1H2tHWZk2oeKzb4UJHVy/G6COvB8uykEpEON1sjbomTpdfclFKRfxxQtaxQKfA/iPtaG7pHpDVN5gTp/1XMiJf9O+1LleKls4etLR2QyyKfZUfyUaRiIkaKCedlllcXAy5XI59+/YB8GfmzJkzBzk5Ofif//kf1NbWAgBee+01XH755ck+XdrghpcP3rQFgAK90v/hSaOO7/OxcHsSK7zK9KZtV2CTK9oHnUOrksHp8qYktS+b6HV64XL7QiQWiViEEmNqNm63fH4cn+xtwOWzSvGji8cnfb5EKDGqIJWIEtbx6453okCv5DNRAGBKmQ4WmxPtCebjn4yxYQv4VQZ/8VV0Sad/9KBwSQfwr4vXx8bsZc+3VYixR2DS58DrY9GR5N5GLBJ2+CtXrkRdXR0A4JlnnsGTTz6JhQsXore3FytWrIBYLMazzz6L//zP/8TChQtx4MAB3HfffSkzPNVwOrM2jC7d32IhfQ4/kXm2HHKpGGIRk7FcfIstdkomx0jNxe9vHhf6eSkvVOFkiy0p3fv9L+vxt90nMWdGEZZdWpHWNgrRkIhFGFuoTihTx+3x4tApC84clzfg/sll/rTSRPPx65ttYOCfRBUNgzr25Kt4iq6CKTUKa6xoFpgBlKmumXFpLDt27OD/vXHjRv7flZWV2Lx5c8jxs2bNwjvvvJOEeZmDb5wWJksH8G/c/uv7DrAsm5YvnyuwIZxIhM8wTEYbqFnszpgpmRzB7RUK9PFrwNkK5/DD/fCVm9T4vLYZndY+5GuVcZ/7oz2nseXz4zj/DBNWzJ88ZM6eY0KRFp/sa4Db44M0jk6uRxq64XL7MG28YcD9Y/Jy+Hz8OTPiLyKrb7GhMC8n5hxfvVqBw6ejbw7HW3TFUZiXA7GIwel2O86PcpzQDCC+a6a5F5gQlylxQZW2Abjh5VxO9WBKC+IrtoiXRHrhB+NvoJYZ2SRcdkok+ouvsjPCd3u8qD0a/zzerkFVtsGUFXKtkuO/IvxsfyPe/PR7nD3JiJurpkAkGlpnD/jz8T1eX9xXuN8e74RELEJl2cBCMYZhUFmmw6GTieXjn2iJXGEbjEEjR5fNFXUf0BJn0RWHRCzCmLxcNMYYXG8WmAGkzpFCKZekPVOHHH6A7sDw8kjRVLorbl2u+KddBZOrkGQkwvd4fbA5YrdV4OBaTVt7stPhf/VdG367+Zu4B5f0t9IOk8ZrVEHEMHHr+LsPtOCV7Ydx5vg83FZ9hqDNu0wwPsGRh3XHzZhcqoVcFvqZnlymR5fdhbY401ctNie67a6QlsjhMGgU8LFs1LRgoZJLOIQ0VhTadplhGJj0yrRLOtnxicoCugLDyyNRwg1DiaNLXjw4PfHPsw0mN0P9dLrtLrAQHhGplVIwTPZG+NzGYbxTzbpsTijl4rANsWRSMcbk5+BUHA5/3+F2vPT+QUwu0+HOH00TtCGeKQwaBfRqeVwbt53dfWjqcGDa+Lywj1eW6QAg7jYLXEvkcQIifO4zGi0X32KLr+gqmFKjChabM2LBY6/Tg16nJ2pbhWAKDTlpb5OcPZ+qISZ4eHk4chVS5GnS12KBi/CTk3TS7/AHNwyLhUjEQJ2TvcVXXGFMW5yX0lyVbSTKTWrB068On7LgD1u/xbgiNe768fSEr/LSyfgiTVwbt9+e8HfHjOTwCw050ObK4t64rW+xgmGAUlPsGh0uMyZata3ZGl/RVTAlMVosCCm6CqZAr0Rndx/cHuHTtOKFHH6AcH10BlNaoE6bw3dy4w0TlXQCPfGT7VESC66tgpAqWw5tFrdX4NLyYqXXDSbWPka5SY1uh4vX+iPh8frwyoeHkadRYNU1MyK20B1qxhdp0N7VJ7jl8LfHzcjTyFGUF36jnmEYVJbrcSjOvjr1LTYU5+cKCoy4yDpmhB9nhg5HCZepE0HH51M+BUb4JkMOWABtXelLzSSHD/+Xzt7rjirpAP5f9JbOnrT8Ars8yWn4KqUUHq+Pn4ubLrgIP57LYH97hezsmMml7cV7Kd0VprNqMOX8xm30KP+z/U1o7uzBdZdWRGwTkA38YKIRErEIr310JKaD9nh9+O6kGdPG50XNMJpcpkO33SX4x5Zl2agtkQeTq5BAJhFFHITidHnh6PMIjsAHo1PJkKuQRAwCuc+W0PNnookaOXz054jHjvBV8LEsmjpS/4Y4Xclp+JlqoNZlc0IiFoUdOhGJbO2nw7IsH4XFs1nGsmxMSYfb5I+2cevoc6Pm78cxpVyPmYEeM9mKyZCDH88dj/1HO/B5bVPUY481dqPX6cW0ceHlHA4ue+ewQFnHYnPC2uMWtGELBIqvNIqIDj/Roqvg85cWqCLu65mtfWAAwSnMJr0/hTedbZLJ4SN0eHkkuC/xqTQMQ+kvvEo0S4droJZeh28JRLbx5IZrVDL/Zm8GJvrEg6PPA5fbB02OFN0OF3qdwtJaHX0eeLxsVIevlEtgMuREjfDf/aIePU4Pll06cchz7YVw2TmlmFKux5ufHo2aPvjtCTPEIgZTx0bv22/SK6FTCe+Pz20aC43wAX90bYkg6Vji6PoaiRKjCo3tjrDdUc02JzQqmeAN+ByFFOocqT8XP02Qw0fo8PJIFATmWaZDx0+m8AoAVEq/9puJCD/eL4g219+bPFPdPIXCabuVgYEiQlME+X2MGOtQblJFzNRpMfdgxz8bMGdGER9IZDsihsHNVVMgFjHY+N538PrCy4d1xzpRUayNWRjlz8fX49CprpjBgNvjw9ZdJ6BVyeJaL0OU2ba85JKghg/4ZV6n2xt2bKMlgQ3hdM+3JYePoLYKMRy+SBT/PEuhcJKOLI5KxmByMyTpWATMsh1MtrZX4BzB1LH+SlChRS9dAttDlxeq0Wl1whamBmHTjqOQSkS4aoh65CSKQaPADfMn43iTFX/78mTI4112J0612UOqayNRWa6H1RFbx3931wk0tjvw7wsr46r21WsU6LI7w/44JVp0FQy3cXu6LXTj1mwTloMfjEmvTGvxFTl89OeIa2I4fMD/Bp9us6dcnvAPPxElfGnPN1BLYxTt166FF11xaILaK2QT3KX+5EBOuNDNQ6GpqWO5GbetAwOEA/Vm7D/agSWzx8YMMrKR86aacP5UE97dVR+Sm3/ghL919pkR0jEHw639oSj98Y81dWPbP07iouljMH1CfHsdBo0cLBu+DsRic0KlTKzoiqM4PxcMQutzWJaNe7AK4N8r6bK70tZskBw+wg8vj0RpgQqOPg86U9zVzpVgp0wOTsNPZ4Tf6/TC6fYmHOFnW6aO2eaEWMTAqFVCr5YL1k65PZ9YET7fYiFI1vH6fHjz0+9h1Clw2azSBC0fen56xSTo1DJsfO8Af3UK+LtjanOFyy4FOv/aR8rHd7m9eOn9g9Cr5Vj2w4lx22ngi69CP3uJROCDkcvEKNArQxx+r9MDp9sbv6TDZeqkqQCLHD78Q7ZjpWRycB/kE0nO+RyM05XYAHMOqUQEuVSc1vYKiaRkAv3tB6xZVm1rtvZBp5JDJGICVY7CJZ1chSRmZJirkCJfqxiwcfv32mY0tjtwzbyKuKSJbCNHIcXNVVPRZunFWzu+B+Bv8X3ghBnTxhsEX6lyfXUizbnd8vlxtJh78O+LpiBHEX+NAj/5KkybZLPVmXCGTjDhZN5E9we4TJ10VdwO309cCul2uKATeGnNaXYnkpzzORhXgvNsg1EpJWmN8BMpugKAHLkEEjGTdZJOcJ+TePqYdNmEdwstL1TzEX5Pnwfv/P04JpXqcPZkY4y/zH6mlOsx/9wy7NzfhP1HO3Ci2QpHn0ewnMMxuUwPa48bTYPaWxw53YWP95zGJWcV44yxwvYEBsO9v+EifIutL+Giq2BKClRos/QOuNKJt+iKg+uaGW8hoFDI4SPy8PJw5CgkyNcqUN+cWofvTHCebTC5ivS2SE40jY1hmKzMxTfb+vgvpMmQA0efR9APZjzdQstNarRZetHT58H7u+th73Fj+TBJwxTCj+aMR4lRhZe3HcSX37aAYfo3wYXCZUkF6/hOlxd/+ttB5OsUuOaSxPsFK+USyKXikAg/2aKrYEqMKrDon5oHxF90xSGXiaGPkkqaLKPe4bOBbnrxRK2lBaqUSzoulxeyJDaPgPQ3UIvWEjgWmlx5Vjl8H8vCYnPyX8j+fuSxI6tYVbbBcBW3+w634eM9p3HhmWP4+0YCUokIty6Zih6nB//3r0aML9LEVZQHAEatAgaNHIeD8vE37zyG9q5e3LRoSlLtJhiGgUEjD+mnk6g8GY6SglwAAzduzbY+iBgmoe/KrUum4tKzS5K2Kxyj3uH3OD3weH1xZUuUm9RobLentMjJ6faFbSMbD+nuiW8JaNeJSE/Z1k/H1uOGx8vyX3hu4lCsS2kfy6I7jgifm8r0+idHIBGLsHTu8ErDFEJJgQpXz/VH4bGqa8PBMAwml/bn4x+sN+PTfzbgslml/HSsZAg3+ap/9GDyGr4xUJ8TrOObrU7o1LKE5hlMLtOj2Jie2oxR7/D5lMw4IvzJZTqwLHAkwRFt4XB5ktfwc9M89SqRoisOrSq7JB3+Cx+QdIw6JRgm9maZrccNHxu9yjYYba4MerUcLrcPVReUJxTxDQcuP6cU/76oMuHItLJcB3uvG8earPjTtkMwGXJS9uOoVytCJB1enkyBhi9iAvU5wRF+El040wk5fE6mEKjhA8D4Ii1kUjEOxtnLOxpOtxfyJLM2VEoJHH3usGXeqSCRoisOTY4Mtp7o04cyyeAsColYBKM29sZtIhvXFcVa5GsVuOKc4ZuGGQsRw+Di6UVxyzkcXF+d59+pg9nWh5urpiSVtRaMQSOH1e6Cx9tffCV0uLhQBtfnpCLlMx2Qw48yvDwSUokIU8caohaLxIvL7YMsWUlHIQXLQnBPmHiJZ5btYLQqGVgWYatOh4JwjbMKDLGrHBPZx7hxYSUeufGcrOxzny0YdUrkaRTotruw4NwyVBRrU3Zug0YBFhjQqjoVRVfBlBhz4ejzoCvQM8q/P0QRftYhtK3CYKZPzEdDuyNlo/uc7uTy8IH+9grpkHW8Ph+sDlfYod1C0GZZta3F6u/6qc7pj0gL9TloNfdGraJOxOEr5ZKEI9/RxKxKI8oL1bjq4nEpPW+44itz0IZ9KigNmohn73XD7fGlZEM41WTntIUM0m3nhpfHtxTTA+1sD5/qwjmVBUnZ4POxcHt8CffR4ejvp+NBQfJ7XQOwOtxg2cSzGrhpYtni8P3DpeUD0iNNhhw43d5A1lb41xltli2RHNf9cCJYlk15yir3mQ3O1DFbncjXpi4C5zZZG9rs0OT4Pxsk6WQhsYaXR6KiRAeFTIyDKZB1uOEnqcjSAdLTXsEisENkJLhN8WyZbRtOY+UydaLp+N12/9DrbJo5O5JIR30CP/kqaOPWYutLaQSuUkqhV8txut2ecNFVJhj1n9puR/Th5ZEQi0WYVKpLicPnxhsmK+n0N1CL7fCtPS48+vIewa2e+ayGRCWdnOzqp2Ox9kE/SGMt5HLxo2TqxFN0RWQHSrkESrmYl3Sc7kDRVYojcH+LBUfCRVeZgBy+Pfrw8mhMKdej1dwTdUiyEPjhJ8kWXimE98Q/dNKCky027D3UJujcvHad4IdYLhNDIRPD6kj/oPVY+HwsLDZXyBfeoFFAImai5uJbYky6IrITvVrBZ+akYvBJOEoKctHc6UB7Vy/EIgbqLOyEKtjh2+12LF68GA0NDSGPHTx4EFdffTXmz5+PBx98EB6PP0ukqakJ119/PRYsWIA77rgDDkf4Yb9DiZDh5ZHgUsmSzdZxuVMj6eQqpGAgbNP2aKO/Uvj7hi5B5+6y+ztLBm9yxku2zLbtdrjgY9mQS26RiEFBjAEU8VTZEtmDQd1fbcu1LRh8hZcspUYVvD4W39WboVfLIcrC9hmCHH5tbS2WL1+O+vr6sI/fd999ePjhh/Hhhx+CZVls2rQJAPDoo4/iJz/5CbZv345p06bhhRdeSJnhqUDo8PJIlJpUyFVIkpZ1uAg/2V46IhGDHIUEDgHVtlwf82NNVrg9sQef+3PwZUl9iDVxVtv6WBavbD8U0nM9WaLlYPsHUISXdLhMJYrwhx8GTf/kK+7/6ZB0AKCh3ZGV+j0g0OFv2rQJa9asQUFBaDZKY2Mj+vr6MHPmTADA0qVLsX37drjdbuzZswfz588fcH82IXR4eSREDIPJZXrBMzkj4XKlRtIB/FF+rH46bo8XJ1tsMOmVcHt8Ueeuclji6BAZiXgbqLV39WLn/ib89bNjST3vYPq/8KFfSpMhB22W3rAFYlymUrLrQGQevVoBq8MFt8fHv/+J7kdFojAvB+JAK4VszNABBDr8devWYdasWWEfa2trg9HY3+rVaDSitbUVFosFKpUKEolkwP3ZRH8OfuJvzpRyPTq6+9AeZqalUJzcPNskJR0g0EAthqRzstUOr4/F/HPLAABHBMg6XSnQrrW58riydBoCY+MOnrSgsT11YyX72yqEj/A9Xh9/TDBCRxsS2Qd3Nddld8Ji7YNKKU15IZxELMKYvNzA82VnhJ90Hn64IhWGYSLeHw95eekd7nw8MHpubKkORmP8HQyNRjVmzyzG6x8fQYO5F1MnJpaPr2jwSxaFBeqE7AjGoFWg2+7kzxPufLu+82/UXnr+WHz6z0bUt9pjPm+X3YVZUwuTsm+MSYWef3qg1eUM+LJFOmfX/iYA/srmL79rw3/8eEzCzx1Mr8cHhUyM8hJ9yGdy8vh8AIfR5wu1ixX546Nxpfqk36d0ka12BTMUNo4r9e+3+UQi2J1eFOhzotqRqI0VZTo0tNtRVqRN++tM5PxJO3yTyYSOjg7+dnt7OwoKCmAwGGC32+H1eiEWi/n746Gz057W3iunmv0blz6XB+3tsWWNYIxGNdrbbVCI/Nr0ngPNOEvg4ObBtHf6f3gctj60i5Pb6JGKGXTZnGhvt/E2Dqb2SBvyNAp4nW5MKFJjz6F2tLZaI3b263V60Ov0QCFm4l6nYLgP27GTncjX+nPeI9kIAEfqzTDqFJhcqsene0+h6rxS5CiSr1htbLVBr5ajoyP0qkEeWILDJzpREsjL5+w8GWiJzbq9Sa1Duoi2ltnCUNkoCgwxP37agpYOB/I08oh2JGOjMXAlIWOQ1tcZyUaRiIkaKCedlllcXAy5XI59+/YBAGpqajBnzhxIpVLMmjUL27ZtG3B/NmGNY3h5JLgRbQdPhh/RJgRXQNJJtpcO4O+nEysP/3hTNyYUawAAE0t06HV6QmZyBpNsSiZHvO0VGjscKM5X4dKzS+By+/DFN81JPT9HtOHSOpUMcqk4bE+dLpsTDANocqlNwnCDk+8sNicsQYNvUk1luR5SiQglxty0nD9ZEnb4K1euRF1dHQDgmWeewZNPPomFCxeit7cXK1asAACsWbMGmzZtwqJFi7B3717cfffdKTE6VXTFMbw8GlPK9ei2uxIeS9afpZMCh6+UotfpHdAZMBiLzQmz1YkJRf7mVJNKdQCA7xsiD3TpStEmFz/bVoDDd3t8aOnsQbExF+WFalSUaPHpPxtScsXnb6sQ/gvPMExg3GHonkyX3QlNrgxi0agvXxl2KGQS5MglaDH3wNHnSVufm3FjNPjDPXORr1PGPngIiEvS2bFjB//vjRs38v+urKzE5s2bQ44vLi7Gq6++moR56SWe4eXRCB7Rxm3axAM3CzMVQ625fjo9feFTM48F8u8nBLoR5msV0KvlOHK6K2Ivc0vKInzh/XRazD3wsSyf6nbZ2SX4w9YD+OZ4J2YG+hglgsfrg9UeWnQVjMmQw8+hDYaqbIc3eo2c//ynM4smm8dXjupQxRrH8PJoFOiUMGjkCefj+4efiFJSqJGrjF5te6ypGxKxCGUmvyNlGAaTSnU40tAVUZJKtq0CB1e0ZRWQqcNl5RQHLo1/MMkIvVqOT/eFFv7FQ5fNCRbR+5yYDEp0dPWFXCV12Z0pT+UjModBrUBzYFB6qouuhguj2uF3xTG8PBoMw2BKmX9EWyLDR5xuX8qGPcRqoHasyYqxheoBMtakEi267S60RUgt7bK7/MOgk9xjkIhFUCmlgiL8xg4HxCIGhYYc/m/nzSzCgRNmNHcmXrHN5+BHuVox6XPgY1l0dA9MzaQq2+FNcFSfrXny6WbUOnxueHmq2txWluth73WjsT1+Z+RMwQBzjmgN1DxeH+qbbRhfpBlw/8SAjn/kdFfYcyYz2nAwQouvGtrsKDTkDPhhmjuzGBIxgx37GhN+fi6/Xh81wvf/yATvybg9Pth63CTpDGOCP8Oj9Upt1Dr83sDw8lRIOkB/X51EZB2Xx5uSoivAX2kLhI/wT7fZ4fH6QqYJFeXnIlchwfenw2/cWuxO6FP0w6gR2E+nscPByznBf3tOpQlffNuc8FQvIRE+d1XRFuTwLYGWt1RlO3zhNurTUXQ1XBi1Dr8rgeHl0cjTKlCgUybUSM0/7So1bwUf4Yfpp8M1TBsc4YsYBhNLdBErbpOZZTsYrUoWs9q21+lBR3cfP1QimMtmlcDp8mJXXWIpmmZrX6BdbuR8BZVSilyFBC1BPXW4KwOSdIYvnIyTjW2LM8WodfipaKswmMpyPQ6ftsDri92MLBiX25cySUchE0MsYsJKOsebrNCr5WE3LCeV6tBm6R0w9xPwtxLutrtSFtlqc2Ww9rii1iw0BTT6kvzQjKdxYzQYX6TBp/saEtovMVuFDZc2GQZ2zTR3cw5/9DqL4Q73uc/G0YOZYvQ6/DT0RZlSrkev04tTrfH1fXG6UyfpMAyDXIUkrKRzrLEbEwZF9xwTS/0yz2Ad39rjbyWcOg1fDpfbh75AKmo4uH2QwZIOx2Vnl6DV0osDJ8xxP3+0HPxg/F0zgxy+lRz+cIf7DGdrJ8tMMHodfpKdMsNRWaYDEL+O73J7U6ophmug1u1woaO7j8+/H0y5SQ2ZVBSi43MRf6o2ubgq1WjFVw3tdsikoojFK7MqC6DNlSWUohlPhG+2OvlZBWZrH8QiBqok5gEQQ4tcKsbC88pw3lTTUJsyZIxIh9/c6YjZ5qDbkdjw8mhoVXIU5efGreO73F7IU1B0xaFSSkOGoBznCq6Kwjt8iViECUXaEB0/2Vm2gxFSfNXY7kBxfm7EugSJWIS5M4tQd6wzbAuESLg9Xth73YI0XFNg3GFbQMfv7O6DNsl5AMTQc80lFXx1+WhkxDn8brsTD278Cp/sjR79ddsTG14eiyllehxp6IrY2iAcTrcvJX10OHIVUtgHbdoebeqGWMSgvDByY6VJpTo0tNnRE6T/c20VUrZpK6CfDtdDJxrzziqGSBRfima0PviD4TJ1uB8Us7WP5Bxi2DPiHL4mV4Zp4wyo+eIErD2RnUoyow2jUVmug8vti2tKkz9LJ3UOX6UMbaB2vNGKMpMa0iibw5NKtGAxsK+Oxe6EiGFStlZcVlS3PXxqprXHBavDFVG/59Cp5JhVWYAv6prQ5xKWohnPcOkCvV9O4nLxyeETI4ER5/AZhsGySyfC6fKi5u8nIh7nL7pK/Rd4cpkeDCB4CpaPZeH2+CBLsaQTrOF7fT6caLFG3LDlGF+shVjEDJB1LDZ/v6FIrZMTsU3EMBEj/FgbtsFcenYJep1efPlti6Dn7h98EjvCV8ol0ObK+HGH5oCkQxDDmRHn8AF/IdEPzy7GZ/sbcSpMEywA6LanJ8JXKaUoNakE6/ipGmAeTK5SArfHx3fhbGhzwOX2Rdyw5ZBLxRhbqB6wcZvqhmEihoEmN3J7Ba6HTkmYHPzBTCjSoKxAJdzhcz2BBO5H+Ltm9sDl9mv/FOETw50R6fABoPqicchVSPHmp9+HbODyw8vT4PABf9Xt0cZu3plHw+kO9MJPUR4+0N8x0xZwqseauA3b6BE+4G+zcKLZytveZUt9/xhtrjxilk5jhwO5Comg94ZhGPxgkhEnmqxR5TuOeEfbmQw5aLX0oitgKxVdEcOdEevwcxVS/GjOeBw61YV9h9sHPMYPL0/TF3hSqQ4eL4vTAuawulLYC59DFWivYAs4wWONVmhzZcjTxpYyJpXo4PWx/B6EJYV9dDi0qsj9dBrbHSg2qgRvps+oyAcLoO5YZ8xjzTZnXFWWJkMOrA4XWgKFYKO1/woxchixDh8A5s4oQolRhU3/d3RAtJ2OKttgjIH8cW6TMBrONEg6XHsFzuEfb+rG+CKNICc6sVQLBv7B5k63Fz3O1A+L0OTIwkb4LMuiscMuSL/nKDOpoFXJUCvE4Vvjm3TEpWYePtUFgIquiOHPiHb4IhGD5ZdNREd3Hz7cc5q/n+vlkq4IPy9Q2NM5qL1uODiHn8pN235Jxw1bjwutlt6QhmkR/1YhRbExF9+f7kp5SiaHVuV3+INbI5itTvQ6vYL0ew6GYTBjQh4OnOiMmQprtjqhj6Mtrikw0/YQ5/BHcUk+MTIY0Q4f8Lc7OHuyEX/bXc8XEXUFujWmS8PnesebbbEdviug4ac6LRPwpzhy0szghmnRmFiqw9EmKzq5VsKpjvBzZfD62JDisMbAUPHiMD10ojFjQj56nV58H6G9MwD0uTzocXriknQKdEowAE622CARi5CrSF2RHkEMBSPe4QPAtZdUwOcDNu88CiA1w8ujwTAM8jSKIZN0OMdk73HhWFM3RAyDsWOEO/xJJTo4XV58E5BJUh7hRyi+iiclM5gpY/WQiEVRZR0+Bz8OSUcmFcOgkcPHsjBoFVk9uo4ghDAqHL5Rp8T8c0ux+0ArjjZ2oztFw8ujYdDI+Qg5Gq40SDoyqRgyiQhWhwvHGq0oLVDFdQXBlZ5/fbAVQOoj/EgOv6HdDr1azvf0F4pCJkFluS66ww9cbcXbGpcbhpI3ihtuESOHUeHwAaDqgnJoVTL85ZMjfDFROjGoFbAIcPjONGTpAH4dv9vuxPFmKyYUC4/uAb+DN+oU6LK7IJeJU9pvCABf8DZ4ti3XQycRZkzIR6u5Z8CUqmASifCB/o3b0dxhkRg5jBqHr5BJcM28CTjRbEPd8c606fcceRo5rD3umLn4nIafyl46gF/HP3DCDKfLG7FhWjQmlegApCcVMVyE7/X50NTZE9eGbTDTJ+QBAL452hH2cbO1Dwziv1rhInyDgJRWgsh2Ro3DB4DzzyjE+CINvD42bSmZHFxEyG0UR4KP8FNYeAX4HT43oi/eCB/on3ObjmERClm/5MTRZumFx+uLW7/nMOqUKM7PjSjrmG1OaHJlcct4hYFMHYrwiZHAqHL4Isafpgmkf+oN5yDMMWQd7gpAmqIRhxzcxq1KKeXrAuJhcsDhp6O6lGGYkNm2iW7YBjO9Ig9HTneFnXdrsfYJ6oM/mBKjCmIRE3bcIkEMN0aVwwf8/eDvuW4mLp9Vktbn4XPxY2TqON1eyKSilPdZ51IzK4q1CWWXFOiVmFSqw+TAcPZUo80dWG3b0G4HA2BMXuIOf8aEfHh9bNhJWP4q2/ijdINGgaduvwDnTytM2C6CyBZGncMHgDPGGdLSKTMYvVpYhO9M4TzbYLjiq3jy74NhGAarr/8B5swoSqVZPJpBDr+xw4ECvTKpzesJxRrkKiSoHaTjsywbd9FVMAYNpWQSIwNBDv+9997DokWLcPnll+P1118Pefyzzz7DkiVLsGTJEtxzzz1wOPyX53v27MF5552H6upqVFdX44EHHkit9VmMVCKCJlcWs/jKleJe+BxcaqOQhmlDgVYl5yuegf4eOskgFolw5vg8fHO8c0AVb4/TA6fbm1CETxAjiZj5dq2trdiwYQO2bNkCmUyGZcuW4bzzzkNFRQUAwGq1YvXq1Xj11VdRUVGBjRs3YsOGDXjooYdQV1eHm266CbfddlvaX0g2kqeRC5J0Ull0xTG5TIeZE40YL7ClQqbR5spg73XD4/XB5fai1dKDcyoLkj7v9Io8/OO7VpxotvLZSf0pmdQagRjdxIzwv/zyS5x//vnQ6XTIycnB/PnzsX37dv7x+vp6FBUV8T8Al1xyCT755BMAQF1dHXbt2oWrrroKt99+O5qbm9P0MrITg0YhYNM2tcNPOMaN0eCx22en5eohFfCpmXYnmjt7wLLJbdhyTBuXBxHDoPZof7aOhS+6ogifGN3E9DRtbW0wGo387YKCArS2tvK3x44di5aWFhw6dAgA8MEHH6Cjw6+hqtVqrFixAjU1NZg7dy5WrVqVavuzGoPa314h2kD1VI83HC5wDt9ic/b30ElBJoxKKUVFsWZAPj5F+AThJ6akE85ZBW9gaTQaPPXUU3j44Yfh8/lw7bXXQir168dr167lj1u+fDn+67/+CzabDWq1WpBxeXnZnQpnNEZ/HWVFWjj3noZSpYA6J3x6o49loVMrYp4rUdJ13mQp7/E3TuuyOWFxuCERizBtUkFK2l3MnlGMl//2HUQyCfK0SvR5WYgYoGJsHsRJnD9b1zIYsjE1jFQbYzp8k8mEvXv38rfb2tpQUNCvtXq9XhQWFuLtt98GABw4cAClpaXw+Xz44x//iFtvvRVicX8EK5EIL9Pv7LTD54scHQ8lRqMa7e3hxydyyAO+5cjxDpSZwr85jl43dLmymOdKBCE2DhW+wOBxi7UPR05aUGjIgcXsSMm5J4zxr/WOr09i3sxiNLRYoVXJYU7i/Nm8lhxkY2oYzjaKREzUQDlmuDN79mzs3r0bZrMZvb29+OijjzBnzhz+cYZhcNNNN6G1tRUsy+JPf/oTFi1aBJFIhI8//hgffvghAKCmpgYzZsyAUhl/EdBwpb/4KvLGbbqydLIdzSBJpyQF+j1HUV4O8rUKfBPQ8c0JFl0RxEgjpsM3mUxYtWoVVqxYgauuugqLFy/G9OnTsXLlStTV1UEkEmHt2rW45ZZbsGDBAqjVatx8880AgKeeegqvvPIKqqqq8Ne//hWPP/542l9QNtFffBV549bp9qW8j85wQCb1N2VrbLfDbHWmZMOWwz8UJR/f1ZvhcnsTLroiiJGGIH2Fy7EPZuPGjfy/582bh3nz5oX83cSJE/Hmm28mZ+EwRp0rg1jERM3Fd7m9Ke+jM1zQ5spQ+71/3nCqWxfMqMjDp/9swKFTFlhsTpw1MT+l5yeI4ciorLTNFCKGgUEjjyjp+FgWLo8PshT30RkuaHNl/BjIkgTbIkdicpkOcqkYX9S1wO3xUYRPECCHn3byNIqIko4rDdOuhhPcTAK5TJzy9sNSiRhTx+rxryP+KwjS8AmCHH7a0UcZhML3wh+lkg63cVucn5vy5nEAMKPC30wNoPbGBAGQw087eVo5LDZX2PTSdE27Gi5wxVepzNAJ5szxefy/4x1tSBAjEXL4acagUcDHsuiyh+r46RhgPpzoj/DTU2CnV8tRXqiGWMRAneYJZwQxHEjtsFIiBIO6Pxd/sKzQL+mMzt/d/MB6lJnSV1G94NwyHG3sTotkRBDDDXL4aSY4F78CAztXjnZJp7Jcj/V3XgSjSpq25zhvqgnnTTWl7fwEMZwYnaFlBuGrbcPk4o92SYdhGJwxPo+GixBEhiCHn2aUcgmUcgnM3aEaPpeWOVolHYIgMgt5mgzgH4QSJcIfpZIOQRCZhRx+BjBoFGElHX7Tlhw+QRAZgBx+BvBPvoos6VCETxBEJiCHnwHyNHLYe928hMPB3ZaO0l46BEFkFvI0GaA/F3+grON0eyGTiChHnCCIjEAOPwNwjbsGyzout4/0e4IgMgY5/AyQp4kc4ZN+TxBEpiCHnwF0ajkYhE6+crm9o7YXPkEQmYe8TQaQiEXQqmQhko7T7aMInyCIjEEOP0PkhcnFJ0mHIIhMQg4/Q+g1CnSGbNp6adOWIIiMQQ4/Q+Rp5DBb+8Cy/YNQ/BE+vQUEQWQG8jYZwqBRwO3xwd7r5u9zkaRDEEQGIYefIYIHoXA4KQ+fIIgMQg4/Q+Rp+wehcFCETxBEJiGHnyEGt1fwsSxcHh/l4RMEkTHI22QIdY4UErGIl3TcgdbIFOETBJEpBDn89957D4sWLcLll1+O119/PeTxzz77DEuWLMGSJUtwzz33wOFwAACsVituvfVWLFy4ENdffz3a29tTa/0wgmEYf6ZOIBef65RJGj5BEJkipsNvbW3Fhg0b8MYbb2Dr1q146623cPToUf5xq9WK1atXY8OGDXjvvfdQWVmJDRs2AACeffZZzJo1Cx988AGuueYarFu3Ln2vZBhg0Ch4DZ+mXREEkWliOvwvv/wS559/PnQ6HXJycjB//nxs376df7y+vh5FRUWoqKgAAFxyySX45JNPAAA7d+7EkiVLAACLFy/G559/DrfbHfokowSDRs5LOvw8W9LwCYLIEJJYB7S1tcFoNPK3CwoK8M033/C3x44di5aWFhw6dAiVlZX44IMP0NHREfK3EokEKpUKZrMZJpNJkHF5eaq4XkymMRrVcR1fWqjF7m9boDfkwtLrAQAU5KviPk88pPPcqWI42AgMDzvJxtQwUm2M6fCDK0M5mKCBHRqNBk899RQefvhh+Hw+XHvttZBKpRHPJxIJj2g7O+3w+UKfPxswGtVob7fF9TcKCQMfC3x/ogPtXX5pp6/HFfd5hJKIjZlmONgIDA87ycbUMJxtFImYqIFyTIdvMpmwd+9e/nZbWxsKCgr4216vF4WFhXj77bcBAAcOHEBpaSkA/9VAR0cHCgsL4fF4YLfbodPpBL+okUbwIBQXbdoSBJFhYobbs2fPxu7du2E2m9Hb24uPPvoIc+bM4R9nGAY33XQTWltbwbIs/vSnP2HRokUAgLlz56KmpgYAsG3bNsyaNStq9D/SCR6E0r9pSxo+QRCZIaa3MZlMWLVqFVasWIGrrroKixcvxvTp07Fy5UrU1dVBJBJh7dq1uOWWW7BgwQKo1WrcfPPNAIBf/OIX2L9/P6qqqvDGG2/gkUceSfsLyma44qvOAQ6fInyCIDJDTEkHAJ9jH8zGjRv5f8+bNw/z5s0L+TudToc//OEPyVk4gpDLxMhVSGC2OqGQ+ZeeJB2CIDIF6QkZJk+jgNnax2v4FOETBJEpyOFnGENgEAon6UhJwycIIkOQt8kwBo0cFlsfXG4fZBIRREEprgRBEOmEHH6GMWgUcPR50O1wkX5PEERGIYefYbhc/Bazg1IyCYLIKORxMgyXi9/c2UMRPkEQGYUcfobhcvH7XDTtiiCIzEIOP8Po1DJw+7QU4RMEkUnI4WcYsUgEvdqv41OETxBEJiGHPwRwsg5t2hIEkUnI4wwBXKYOSToEQWQScvhDAJepQ5IOQRCZhBz+EGAgh08QxBBADn8I6Jd0aPkJgsgc5HGGAJJ0CIIYCsjhDwFGnRJymRh5WsVQm0IQxChC0AAUIrUo5RL85s4LIZdRhE8QROYghz9EKOW09ARBZBaSdAiCIEYJ5PAJgiBGCeTwCYIgRgnk8AmCIEYJ5PAJgiBGCeTwCYIgRglZnRsoEjFDbUJUst0+gGxMJcPBTrIxNQxXG2PZzbAsy6bLIIIgCCJ7IEmHIAhilEAOnyAIYpRADp8gCGKUQA6fIAhilEAOnyAIYpRADp8gCGKUQA6fIAhilEAOnyAIYpRADp8gCGKUQA4/AVasWIGqqipUV1ejuroatbW1Q20SAMBut2Px4sVoaGgAAHz55ZdYsmQJrrjiCmzYsGGIretnsJ0PPPAArrjiCn49P/744yG177nnnkNVVRWqqqrw9NNPA8i+tQxnY7at429/+1ssWrQIVVVV+POf/wwg+9YxnI3Zto4cTz31FFavXg0AOHjwIK6++mrMnz8fDz74IDwej7CTsERc+Hw+9sILL2TdbvdQmzKA/fv3s4sXL2bPOOMM9vTp02xvby87d+5c9tSpU6zb7WZvuukmdufOnUNtZoidLMuyixcvZltbW4fYMj+7du1ir7vuOtbpdLIul4tdsWIF+95772XVWoaz8aOPPsqqdfzqq6/YZcuWsW63m+3t7WUvueQS9uDBg1m1juFsPHbsWFatI8eXX37Jnnfeeez999/PsizLVlVVsf/6179YlmXZBx54gH399dcFnYci/Dg5fvw4GIbBypUrceWVV+K1114bapMAAJs2bcKaNWtQUFAAAPjmm29QXl6O0tJSSCQSLFmyBNu3bx9iK0Pt7OnpQVNTEx5++GEsWbIEv/vd7+Dz+YbMPqPRiNWrV0Mmk0EqlWLChAmor6/PqrUMZ2NTU1NWreO5556LV155BRKJBJ2dnfB6vbBarVm1juFslMvlWbWOANDV1YUNGzbg9ttvBwA0Njair68PM2fOBAAsXbpU8DqSw48Tq9WKCy64AM8//zxefvllvPnmm9i1a9dQm4V169Zh1qxZ/O22tjYYjUb+dkFBAVpbW4fCtAEMtrOzsxPnn38+nnjiCWzatAl79+7F5s2bh8y+iRMn8l+k+vp6bNu2DQzDZNVahrPx4osvzqp1BACpVIrf/e53qKqqwgUXXJCVn8nBNnq93qxbx0ceeQSrVq2CRqMBEPrdNhqNgteRHH6cnHXWWXj66aeRk5MDg8GAH//4x/jss8+G2qwQ2DBNUBkm+1q+lpaW4vnnn0deXh6USiVuuOGGrFjP77//HjfddBPuv/9+lJWVhTyeDWsZbOP48eOzch3vuusu7N69G83Nzaivrw95PBvWMdjG3bt3Z9U6vv322xgzZgwuuOAC/r5kvttZ3Q8/G9m7dy/cbjf/BrAsC4kk+5bRZDKho6ODv93W1sbLKNnE4cOHUV9fj/nz5wPIjvXct28f7rrrLvz6179GVVUVvv7666xby8E2Zts6Hjt2DC6XC1OmTIFSqcQVV1yB7du3QywW88cM9TqGs3Hbtm3Q6XRZs47btm1De3s7qqur0d3djZ6eHjAMM+Dz2N7eLngdKcKPE5vNhqeffhpOpxN2ux3vvPMOLr/88qE2K4QZM2bgxIkTOHnyJLxeL95//33MmTNnqM0KgWVZPPHEE+ju7obb7cZbb701pOvZ3NyMO++8E8888wyqqqoAZN9ahrMx29axoaEBDz30EFwuF1wuFz799FMsW7Ysq9YxnI3nnHNOVq3jn//8Z7z//vvYunUr7rrrLvzwhz/Ek08+Cblcjn379gEAampqBK9j9oWmWc4ll1yC2tpaXHXVVfD5fPjJT36Cs846a6jNCkEul2P9+vX4+c9/DqfTiblz52LBggVDbVYIlZWVuPXWW7F8+XJ4PB5cccUVWLx48ZDZ89JLL8HpdGL9+vX8fcuWLcuqtYxkYzat49y5c/nviVgsxhVXXIGqqioYDIasWcdwNv7sZz+DXq/PmnWMxDPPPIOHHnoIDocDU6dOxYoVKwT9HU28IgiCGCWQpEMQBDFKIIdPEAQxSiCHTxAEMUogh08QBDFKIIdPEAQxSiCHTxAEMUogh08QBDFKIIdPEAQxSvj/iHIR1XlLnCwAAAAASUVORK5CYII=\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Plot davies-bouldin scores for thyroid data set, k in range of 2 to 30 clusters\n",
"\n",
"from sklearn.metrics import davies_bouldin_score\n",
"\n",
"print('Running Davies-Bouldin score calculations')\n",
"scores = []\n",
"k = []\n",
"for n in range(2,40):\n",
" tdata,tm,tpath = mykmeans(thyroid,n)\n",
" k.append(n)\n",
" score = davies_bouldin_score(tdata[['a','b','c','d','e']], tdata.assignments)\n",
" scores.append(score)\n",
"\n",
"sns.lineplot(x=k,y=scores).set_title('Davies-Bouldin Score of K Clusters')\n",
"\n",
"print(f'Best score is with {k[scores.index(min(scores))]} clusters :{min(scores)}')\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Below I define the Dunn index, since the sklearn package is out of data. \n",
"Source: https://ruivieira.dev/micro/8/"
]
},
{
"cell_type": "code",
"execution_count": 97,
"metadata": {},
"outputs": [],
"source": [
"# define dunn index since sklearn package is out of date\n",
"\n",
"def δ(ck, cl):\n",
" values = np.ones([len(ck), len(cl)])\n",
" \n",
" for i in range(0, len(ck)):\n",
" for j in range(0, len(cl)):\n",
" values[i, j] = np.linalg.norm(ck[i]-cl[j])\n",
" \n",
" return np.min(values)\n",
"\n",
"def Δ(ci):\n",
" values = np.zeros([len(ci), len(ci)])\n",
" \n",
" for i in range(0, len(ci)):\n",
" for j in range(0, len(ci)):\n",
" values[i, j] = np.linalg.norm(ci[i]-ci[j])\n",
" \n",
" return np.max(values)\n",
"\n",
"def dunn(k_list):\n",
" δs = np.ones([len(k_list), len(k_list)])\n",
" Δs = np.zeros([len(k_list), 1])\n",
" l_range = list(range(0, len(k_list)))\n",
" \n",
" for k in l_range:\n",
" for l in (l_range[0:k]+l_range[k+1:]):\n",
" δs[k, l] = δ(k_list[k], k_list[l])\n",
" \n",
" Δs[k] = Δ(k_list[k])\n",
"\n",
" di = np.min(δs)/np.max(Δs)\n",
" return di\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"I also defined a helped function to modularize the application of the index to a run of my kmeans algorithm:"
]
},
{
"cell_type": "code",
"execution_count": 85,
"metadata": {},
"outputs": [],
"source": [
"def get_dunn(d,k):\n",
" tdata,tm,tpath = mykmeans(d,k)\n",
" k_list = []\n",
" for i in tdata.assignments.unique().tolist():\n",
" k_list.append(tdata[tdata.assignments == i].values)\n",
" return dunn(k_list) \n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Finally, I ran the Dunn score on the kmeans algorithm using the thyroid data set for Ks ranging from 2 to 40, and on the synthetic data set for K=15. A problem I saw with the Dunn score is that it does not include clusters of 1 as part of the score, so there could be a lot of single points that would not be considered part of any cluster in the index. I had to only include the categories with more than one data point."
]
},
{
"cell_type": "code",
"execution_count": 103,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Running Dunn Score calculations: \n",
"9.292668852348128e-08\n",
"1.1803602676750931e-07\n",
"1.1803602676750931e-07\n",
"1.2175122317496207e-07\n",
"1.1803602676750931e-07\n",
"1.1803602676750931e-07\n",
"2.1142101616051754e-07\n",
"1.1803602676750931e-07\n",
"2.2601262975935893e-07\n",
"2.2601262975935893e-07\n",
"2.2601262975935893e-07\n",
"2.134368945974349e-07\n",
"3.0097360883319935e-07\n",
"2.482578586612535e-07\n",
"2.2601262975935893e-07\n",
"2.2601262975935893e-07\n",
"2.2601262975935893e-07\n",
"1.6111301417066845e-07\n",
"2.2601262975935893e-07\n",
"2.2601262975935893e-07\n",
"2.2601262975935893e-07\n",
"2.2601262975935893e-07\n",
"2.2601262975935893e-07\n",
"2.2601262975935893e-07\n",
"1.6111301417066845e-07\n",
"2.2601262975935893e-07\n",
"2.2601262975935893e-07\n",
"2.2601262975935893e-07\n",
"3.615756399554212e-07\n",
"3.0685812497945464e-07\n",
"2.2601262975935893e-07\n",
"2.2601262975935893e-07\n",
"2.2601262975935893e-07\n",
"2.2601262975935893e-07\n",
"2.2601262975935893e-07\n",
"3.0685812497945464e-07\n",
"2.2601262975935893e-07\n",
"2.2601262975935893e-07\n",
"Best score is with 30 clusters :3.615756399554212e-07\n"
]
},
{
"data": {
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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"scores = []\n",
"k = []\n",
"print('Running Dunn Score calculations: ')\n",
"for n in range(2,40):\n",
" score = get_dunn(thyroid,n)\n",
" scores.append(score)\n",
" \n",
"sns.lineplot(x=k,y=scores).set_title('Dunn Score of K Clusters')\n",
"print(f'Best score is with {k[scores.index(max(scores))]} clusters :{max(scores)}')\n"
]
},
{
"cell_type": "code",
"execution_count": 104,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"2.7360466536287185e-06"
]
},
"execution_count": 104,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Dunn score for synthetic data set:\n",
"\n",
"get_dunn(synthetic,15)"
]
}
],
"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": "3.8.5"
}
},
"nbformat": 4,
"nbformat_minor": 4
}
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