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482 строки
247 KiB
Plaintext
482 строки
247 KiB
Plaintext
{
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"cells": [
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{
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"cell_type": "code",
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"execution_count": 150,
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"metadata": {},
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"outputs": [
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{
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"data": {
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"image/png": 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\n",
|
|
"text/plain": [
|
|
"<Figure size 640x480 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"import numpy as np\n",
|
|
"import matplotlib.pyplot as plt\n",
|
|
"from sklearn import datasets\n",
|
|
"from sklearn.metrics.pairwise import euclidean_distances\n",
|
|
"\n",
|
|
"#X,y = datasets.make_moons(n_samples=100, random_state = 42, noise = 0.1 )\n",
|
|
"X,y = datasets.make_blobs(n_samples=100, centers = 6, random_state =45 )\n",
|
|
"\n",
|
|
"plt.scatter (X[:,0], X[:,1])\n",
|
|
"plt.show()\n"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 152,
|
|
"metadata": {
|
|
"scrolled": true
|
|
},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": 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\n",
|
|
"text/plain": [
|
|
"<Figure size 1500x1000 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"from scipy.cluster.hierarchy import linkage, dendrogram, fcluster\n",
|
|
"import matplotlib.pyplot as plt\n",
|
|
"import pandas as pd\n",
|
|
" \n",
|
|
"\n",
|
|
"# Реализация иерархической кластеризации при помощи функции linkage\n",
|
|
"\n",
|
|
"mergings = linkage(X, method='single')\n",
|
|
" \n",
|
|
"# Строим дендрограмму, указав параметры удобные для отображения\n",
|
|
"\n",
|
|
"plt.figure(figsize=(15, 10))\n",
|
|
"dendrogram(mergings)\n",
|
|
"plt.show()\n",
|
|
" \n"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 119,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"[2 2 2 2 1 1 2 2 2 2 2 2 2 2 2 2 2 2 1 1 2 2 2 2 1 2 2 2 2 1 1 2 1 2 2 1 2\n",
|
|
" 2 2 2 2 2 2 2 2 1 2 2 2 1 2 1 1 2 2 2 1 1 2 2 2 1 2 2 2 2 2 2 2 1 2 2 2 2\n",
|
|
" 2 1 2 2 2 1 2 2 2 2 2 1 1 1 1 2 1 2 1 2 2 2 2 2 2 2]\n"
|
|
]
|
|
}
|
|
],
|
|
"source": [
|
|
"T = fcluster(mergings, 10, 'distance') # distance or maxclust\n",
|
|
"print (T)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 120,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": 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\n",
|
|
"text/plain": [
|
|
"<Figure size 500x500 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"plt.figure(figsize=(5, 5))\n",
|
|
"plt.scatter (X[:,0], X[:,1], c=T)\n",
|
|
"plt.show()\n"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 121,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"def update_cluster_centers(X, c):\n",
|
|
" ix = np.where(c==1)\n",
|
|
" mu[0,:] = np.mean(X[ix,:], axis=1)\n",
|
|
" ix = np.where(c==2)\n",
|
|
" mu[1,:] = np.mean(X[ix,:], axis=1)\n",
|
|
" ix = np.where(c==3)\n",
|
|
" mu[2,:] = np.mean(X[ix,:], axis=1)\n",
|
|
" ix = np.where(c==4)\n",
|
|
" mu[3,:] = np.mean(X[ix,:], axis=1)\n",
|
|
" return mu"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 122,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"[[-1.56129966 4.21898437]\n",
|
|
" [-7.5371344 -4.96080784]\n",
|
|
" [ nan nan]\n",
|
|
" [ nan nan]]\n"
|
|
]
|
|
}
|
|
],
|
|
"source": [
|
|
"mu = np.array([[0.0,0], [0,0], [0,0], [0,0]])\n",
|
|
"mu = update_cluster_centers(X, T)\n",
|
|
"print(mu)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 123,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": 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IJ657hhnPzKay3FuDslP3Dpx+wyiOOf/I7ZPu++/DoEFR4x/H4XxtOtbY5k/x8cLyv5PTLjuWL0GzFGs+UM9SRKQRvPqXt/nwX58C1Eh6btClorSCG4+/i4ryyu3227C6gCfHP7fdfUnrWtp0yuV3Y4ZVb9u0sZirDv0T/5nyfnWiBFj1yxruv/BRnr552vaBrVgRU/ztKNtuW1VlkJ8XLI1p/5ZOyVJEpIFc1+XlB98MuxSW61oK1hby4UufbPfaAxc/xoqfVtW6b9G6Iu469+Hq5y/d+zrL/rcibP3Zp2+dxoqfai5hSJgVnLa1jtqX0ErkmpFNmZKliEgDFawpZPXStRHb+FJ8LPx4UY1tq39dy5zXPg+b/IJVLvNnLeDXRcuw1vLGY+9GLNTuOA5vP1lzCUMOOwy6dSPcopMusJp0FrB9cXdfio9dD2g+5fbiSclSRKSBwlXt2ZZvm3b/m/dT2N7o1hZ99iPlpRUUrI2yHqa1rPh5m8FEPh88+CAWsNskTBcwwCPsh1tLMu22a5fqpb5aOyVLEZEGymmXTfc98yNO7whWBjngqH1qbIt1QWSf30cgLQV/IPIlUeM4ZOVm1Nj27Sc/MPHpxdxq+rPW1rzUupZ0bqE//zW1rw4y4uKjY4pva2Ul5RRt2BTTHwHNiS5Gi4g0kDGGU649nrvOebjW1x2fQ+ceHeh77P41tu95yO6kpPprDNbZbl+/w74De+M4DgNPGcB7//xv2GLtwaogg7YqhjD7pTncdur9OI4haLvyEV3Yy6yhHeWk9ezOf34M1tqjNI4hIzudo88ZGMO793wx42v+OekV5r+3AIB2Xdsy8rJjOOHqEQRSt69c1NyoZyki0giGnHk4p143EgCf3/toNQYwkNe5Dbe/dQO+bUrLZbfNYviFR2Gc2nukjmMYcubh5HVuC8Cp143En+Kvrjdbo63PYb8j92Lvw/YAvCkmd579ENba6uTqGsPXdOQ98nlniWW/o/atEe/m46RlpHLb69eTkR1bBZ93/jGL64beytezv63etm75Bv4x4Z/88djbax0FXF/WWhZ89D3P3/EKz9/5Kt99+r+E9GI1z1LzLEWkES36bDFvPDadn7/5hfSsdA4/qT+DzzgsbOKpKK/k1pPu5ZM35uH4Hdwqt3qe5v6D9+aW164jLSO1uv3Cjxdx2yn3sXbZenx+H9Z1cV3LISP7cu3Uy6rP8/IDb/LouKkRE0mH/Hbc8M+ref2R//D93P8RSA1wyO/7Mvyio2jfNS+m97t+5QZO3/HisL1d4xhG33EmJ/3f72I6XiQrfl7FzSfczY9f/VJ9n9gNuux24M5M/Nf/0TG/fZ2PGWs+ULJUshSRJHNdl1cfepuXH3yLwnWFpGemceQZh3HOzSeTlrH9lI5gMMhnb8/nx6+WEEgLcPCIA8jffQdKi8soKSwlp10W91/0GDOf+TDi6FmAVzdOJTMnI2KbSJ7788tMufH5iPVrO3Zvz7M/P1Lvc4A3x3T0PuNYv3ID7jaJ2fE7dMxvz2Pz74m5N7xZrPlA9yxFRJLIdV3+cunfefPxGdWLR5cVl/PSva/z6ZtfcPfMibTr0rbGPj6fj4NH9OHgEX2w1vLqQ28z9oiJbFxd4L3u99G5x/ZTQWqTEmXQUDQ/L1iKgYil4Ff/spaKsooGjax9+4mZrFu+vtak7Fa5rFyymhlPz+Z3lw6t9zki0T1LEZEkevUvb/Pm4zOALQs+b04Iyxev4JYT7wm7r7WWG0feyd+umlydKL3jBFm2eGXkOZk+h/0H793gqSFp6YGw91yrz+UYfCkNWwpsxjOzI/ZeTahNvChZiogkSTAY5MV7Xgv/epXLt3N+4Pu5/6v19Xcmz+KT1+fV69yu63Lq9b+v175bGzCyb9j7leANHjr4uAO3G9xUV0XrI6+AYi0UrosyD7UBlCxFRJLkt0XLWbd8Q8Q2js9h3vSva33t2dv+FfO5jM9gHOP18vwOYx+/mAMG712neGvT99j96bFXfo0RtVtO6pX6O+Xa4xt8nq67do5Y/MHxOeywW2yl/epD9yxFRJIk2uAb8OZwbjugBaC8tJxVS9bEdB5jDD1657PjHjuw017dGfqHQTGPdo3G5/Mx6Z0J/PGY2/n5m6WhQgsWN2hJSfVz7dTL6d1/d3759ldmv/QJxQUl5O/elYGnHlKngUUjLjyKr95bGPZ1N+gy4sKjGuEd1U7JUkQkSXbYtQsZOemUFJaGbROsCtLr4F23216XxaCttWS3zWLC82PrFWc07bvm8eiXdzPv3a+Y8+/PqSirpOe+3Tnq7CMIpKVw6yn3Mnuat3SZ4xiqqoI8cvUUrnrsIoaceXhM5zjsxIPp+/T+fPbO/O3uXRpjGDDyIPoNPyAebw9QshQRSZpAWoDjLj6aaff8G7eWwSuOz6FT9w702aZM3uZ9d9mvB4vnL4npXE5tl0kbkeM4HDRsfw4aVrNK0W2n3Fdj6TI36G0vL63gznMeIrd99nb71Mbn83HTy9fw9M3T+Pff/kNxQQkA2W0zGXn5sZx+wwk4Tvzeo5KliEgSnTXxJL6fu5iv3l9YveAzeIkyMyedm1+5JmwSOP2GUdxy0r1Rz2EcQ59QtZ5E+uW73/hg2pywrxtjeOqmF2NKlgApgRT+cPvpnPmnE/nl298wxrBj724JKaenAT4iIkmUmp7KpHdu4OrHLmLnfXuQkZNOh27tOPma43n863vZae/uYfc9bNTBnP7HEyIe3ziGtIxUjjn/yMYOPar//uvTiINyrGv5fu5i1i5fX6fjBtIC7HpAT3bZf6eE1Z1Vz1JEJMlSAikcO3oIx44eUud9z7vtNAaM7Mv9Fz7Kj9tckjWOITU9wG1vjCe3feKrlZUUleI4pvrSazilReHv2TYVSpYiIs3c7gfuzKNf3M1vPyzn9UfeZeHH3+Pz++h77AEce8Fg2nZqk5S48nfvSlVV5EyZkpZC+x0aZ2RuPKk2rGrDiojERemmUk7uMpqykvJa6+E5foeh5w5i7OMXJz64kFjzge5ZiohIXKRnpTPuiUswmO0GKTk+hw47tOO8W09NUnR1o2QpIiJxM/CUQ7jjPxPoPWC36m2BtBSO+cORPPTppKRdIq4r3bMUEZG4OmDIPhwwZB82rNpISVEp7brm1VijszlQshQRkYRo26lNs+lJbkuXYUVERKJQshQREYlCyVJERCQKJUsREZEolCxFRESiULIUERGJIunJctKkSRx00EFkZ2fTsWNHRo4cyaJFiyLuM2XKFIwxNR5paWkJilhERFqbpCfLDz74gDFjxvDJJ58wffp0KisrOfrooykuLo64X05ODitWrKh+/PLLLwmKWEREWpukFyV45513ajyfMmUKHTt2ZN68eRx++OFh9zPG0Llz53iHJyIiCbJxTQFvPjaDGc/MZtPGYrrt1oURFx3NwFMG4PP7khpb0pPltgoKCgDIy4u8ZMumTZvo3r07rutywAEH8Oc//5k999yz1rbl5eWUl5dXPy8sLGy8gEVEpMF+XbSMsUdMpGBtIdb1ligpXFvIgv9+z4xnZnPLa9eSEkjMQs+1Sfpl2K25rstVV13FIYccwl577RW23e67784//vEPXnvtNZ555hlc12XAgAH89ttvtbafNGkSubm51Y/8/Px4vQUREakjay0Tf38XReuLqhMlgBv697zpX/HMLS8lKzygia1neckll/D222/z3//+l27dusW8X2VlJXvssQennXYat95663av19azzM/P13qWIiJNwJezvuHaIbdEbJPVJpMXVvydQGrj9i5jXc+yyVyGveyyy3jjjTeYPXt2nRIlQEpKCvvvvz+LFy+u9fXU1FRSU5tXhXsRkdZi4UeL8PkdglVu2DabNhaz7Ifl7LR39wRGtkXSk6W1lssvv5xXXnmF999/n5122qnOxwgGg3zzzTcce+yxcYhQREQiWfT5j7z8wBt8+uYXBIMuvfruwu+vOJb+xx2IMSbq/sYxxHKN0zjJu3OY9HuWY8aM4ZlnnuG5554jOzublStXsnLlSkpLS6vbnH322YwfP776+S233MK7777LTz/9xBdffMGZZ57JL7/8wgUXXJCMtyAi0mrNfPZDLj94PB+8+DHFBSWUbSrj6w++ZeLIu3h03FRiudO3/5F74QbD9yoB2nTMpdtuXRor7DpLerJ85JFHKCgoYODAgXTp0qX68cILL1S3Wbp0KStWrKh+vmHDBkaPHs0ee+zBscceS2FhIR9//DG9e/dOxlsQEWmVVi9dw93nPYx1bY1LqJsT38sPvMmcf38e9Th7HLwbu/bpic8fJiUZGHXVcPwpybsY2qQG+CRKrDd0RUQkvMkT/snzd74atlfo+Bz2Obw3d8+cGPVYq39dyzVH3sTyn1ZhMFhrcfwObpXL4DMO45opY/D5Gn+uZbMb4CMiIs3Ld5/+EPHyqRt0+e7T/8V0rI757Xl0/j3MevZDZv3zvxSt30S33boy/MIhHDBkn5jufcaTkqWIiNSLzx89hfh8sd/tS89MY/iFRzH8wqMaElZcJP2epYiINE8HDd0vYo/P53foO3z/BEYUP0qWIiJSL0edcwQZuek4YaZ0uEHLqKtGJDiq+FCyFBGReslum8Ud70wgPSetRg/T8Tk4PodrJo+hV99dkxhh49E9SxERqbdefXfl6R//yvSpHzD37S+orKii98G7Mfyio+jco2Oyw2s0mjqiqSMiIq1WrPlAl2FFRESiULIUERGJQslSREQkCiVLERGRKJQsRUREolCyFBERiULJUkREJAolSxERkSiULEVERKJQshQREYlCyVJERCQKJUsREZEolCxFRESiULIUERGJQslSREQkCiVLERGRKJQsRUREolCyFBERiULJUkREJAolSxERkSiULEVERKJQshQREYlCyVJERCQKJUsREZEolCxFRESiULIUERGJQslSREQkCiVLERGRKJQsRUREolCyFBERiULJUkREJAolSxERkSiULEVERKJoEsnyr3/9Kz169CAtLY1+/foxd+7ciO2nTZtGr169SEtLY++99+att95KUKQiItIaJT1ZvvDCC4wdO5aJEyfyxRdfsO+++zJ06FBWr15da/uPP/6Y0047jfPPP58vv/ySkSNHMnLkSBYsWJDgyEVEpLUw1lqbzAD69evHQQcdxMMPPwyA67rk5+dz+eWXc/3112/X/pRTTqG4uJg33nijetvBBx/Mfvvtx6OPPhrTOQsLC8nNzaWgoICcnJzGeSMiItLsxJoPktqzrKioYN68eQwZMqR6m+M4DBkyhDlz5tS6z5w5c2q0Bxg6dGjY9gDl5eUUFhbWeIiIiMQqqcly7dq1BINBOnXqVGN7p06dWLlyZa37rFy5sk7tASZNmkRubm71Iz8/v+HBi4hIq5H0e5aJMH78eAoKCqofv/76a7JDEhGRZsSfzJO3b98en8/HqlWramxftWoVnTt3rnWfzp0716k9QGpqKqmpqQ0PWEREWqWk9iwDgQB9+vRh5syZ1dtc12XmzJn079+/1n369+9foz3A9OnTw7YXERFpqKT2LAHGjh3LOeecw4EHHkjfvn154IEHKC4u5rzzzgPg7LPPZocddmDSpEkAXHnllRxxxBHce++9DB8+nOeff57PP/+cxx9/PJlvQ0REWrCkJ8tTTjmFNWvWcOONN7Jy5Ur2228/3nnnnepBPEuXLsVxtnSABwwYwHPPPceECRP44x//yK677sqrr77KXnvtlay3ICIiLVzS51kmg+ZZiogINJN5liIiIs2BkqWIiEgUSpYiIiJRKFmKiIhEoWQpIiIShZKliIhIFEqWIiIiUShZioiIRKFkKSIiEoWSpYiISBRKliIiIlEkvZC6SGtgKxdiS18Ddz34umLST8D4eyQ7LBGJkZKlSBxZW4HdeC2UvwX4tmwvfhSbcT4m+1qMMckLUERiosuwInFkC2+H8rdDz4JbPYCSJ6HkH0mKTETqQslSJE5scC2UvgiEXwXPbnoMaysSF5SI1IuSpUi8lM+muhcZjt0IlV8lIhoRaQAlS5G4KYutmS2Pbxgi0mBKliLx4t8thkYG/LvEPRQRaRglS5F4SekDvp6E/zXzQeogjK9zIqMSkXpQshSJE2MMps19YNLZetqIxwdOO0zOxGSEJiJ1pGQpEkcmpTem3SuQNhIIhDZmQsZZmHavYHxdkhmeiMRIRQlE4sz4e2DaTMLaW8GWgsnAmG17miLSlClZiiSIMX4w2ckOQ0TqQZdhRUREolDPUqSVsNaCLfCemFzVpBWpAyVLkRbOWgulL2KL/wHBn72Nvp6QeT6kn6ikKRIDJUuRFsxaiy2cCKXPA1slxeDP2MIboPJbyLlRCVMkCt2zFGnJKj4KJUqoWdA99O/SZ6FiTqKjEml2lCxFWjBb8izbF0TYmg9b8lyiwomZrVqMLX0dW/YfrFuQ7HBEdBlWpEWrWkTklU+CUPX9dluttUm5NGurlmILroPKeVttDWAzTsdkX4MxKQmPSQSULEVaNpMRcxsbXIYtngylr4ItwjqdMBmnQsbZGCcrvnECNrgKu/4UcDdu80oFlEzFumswbe6PexwitdFlWJEWzKQNI/KvuYNJOwZbuQi79ngoeRZsIWDBXYnd9BfsuhOx7oa4x2qLnwwlytp6whbK3sRWfh33OERqo2QpEkfWWqxbhLWlyQkg/VQwWdT+q+4Dk41NOwm78UqwxWyfqFwI/oItnBTXML3pLS/Vcv6t+bClr8Y1DpFwlCxF4sDaSmzxP7BrBmFX98Gu2hd33RnY8tkJjcP42mPyngKnXWiLn+q7L04eJm8qxv0Zgj8RPlEFoeyNOPcuK8FuitLGheCaOMYgEp7uWYo0MmsrsRsuhYrZ1JiuUTkPu+ECyJmIyTgDG1wD5e+CWwi+fEgbgjFpjR6PSekNHd6DsnexFZ952wJ9Ie0ojAlgi6fg/d3sRjhKFVQthsBBjR6fJ8Wrm2uLIrRxwNcxTucXiUzJUqSxlb4IFR/U8oKXjGzhzdjKb6H05dA2H1AFhdmQczMmfUSjh2RMANJH1H5sk0LNOZjhBBo7rC0hGINNPxFKniJSD9eknxC3GEQi0WVYkUZmi5+hRrWc2pROw0sKFqgK7bgJWzAOW/5+XOPbTuCw6G1MW0jpHdcwTOYF4ORR+7xQA2nHY1L2jGsMIuEoWUrCWWuxtsIb1NHCWGtD9//q8968fWzRvQn92hj/jpB6NJE+DkzmBXGf42h8HTB5L9RyqTcNMi/A5MZ3kJFIJLoMKwljq37FFj/hzeOjFEwbbMbJmMw/YJy8ZIfXiAJAeT33tV4hgeAv4O/RiDFFZnInYTdsgMq5eD274Jb/p5/uFV1PRBz+bpi8p7BVS0LFElIhcFBC5nmKRKJkKQlhKxdh158OtoTqe1J2IxQ/iS17E/JexPg6JDPERmGMwaYNgbJ3iDwNIooEl3gzThbkPQUVc7Blr0NwA/h3wKSf6A0QSjDj75HQPxZEoknaZdglS5Zw/vnns9NOO5Gens7OO+/MxIkTqaioiLjfwIEDMcbUeFx88cUJilrqw1qL3Ti2ZqKsFoTgSmzhLckILS5M5gWb/1Xbq7EcAXxdGzGi2BjjYFIPwcm9AyfvMZycG5OSKEWaoqT1LL///ntc1+Wxxx5jl112YcGCBYwePZri4mLuueeeiPuOHj2aW27Z8uGakRFDSS9JnsovIfi/CA2CUD4dG1yNaQFTA0zKntDmYezGq/Euxzp4SbIKnO5g14T+cKjtvqQPUo9oEb1skZYkacly2LBhDBs2rPp5z549WbRoEY888kjUZJmRkUHnzp3jHaI0lqrv8JJFpEErLlT9r8XMozNpg6HjR1D6CrbqWyCASR0IqUdA2TvYgrFs/zXxgcnEZF8f9/isrfC+3ljw7xKX+Z0iLUmTumdZUFBAXl70gR7PPvsszzzzDJ07d+a4447jT3/6U8TeZXl5OeXlWwZcFBYWNkq8jcnaUih9C1u1CEwqJnUIJrBvssNqJAFiGh1qUuMeSSIZJxsyz97+wmv6cHAysUX3bbXih/F6lNnXe/fr4sTaSuymv0HJ06EasIDJwmachsm60puPGfOxgt5AJFzw7VinfUWamyaTLBcvXsxDDz0UtVd5+umn0717d7p27crXX3/Nddddx6JFi3j55ZfD7jNp0iRuvvnmxg650diy97AF40LlvvyAxRY/hk3pi2n7MMZp47WrXOgVmy6bCVSCf3dM5lmQNhJjmvAsoNTDiFohxuRCyj6JiigqaysAf9y+riZ1IASO8JKNWwC+rnG/9Gqti914FZTPoMYfL3aTN9Cq8jto+zjGRP5YsNZCydPeyGZ3pbfR5GAzzsBkjVHSlBbJ2Eae0HX99ddz5513Rmzz3Xff0atXr+rny5Yt44gjjmDgwIE88cQTdTrfrFmzGDx4MIsXL2bnnXeutU1tPcv8/HwKCgrIycmp0/kam634Crv+VLxEsu23wgcp+2Dynofyd71i1xi2DJIJJaC04Zjce+v0we5928uB1ISsW+huvA7KXiNcwjRZ4zBZF8U9jkisLYPip7wFk90VgB9Sj8JkXdgiJsPbslnYjZEHw5nc+yJWELLWYgtvgtJ/1vKqA4F+mLZPaN1JaTYKCwvJzc2Nmg8aPVmuWbOGdevWRWzTs2dPAgHvr8/ly5czcOBADj74YKZMmYLj1O0v+eLiYrKysnjnnXcYOnRoTPvE+sVJBHfDpVD+HhGnGbT5K2y8Gqgk3OVMk3MrJuOUqOez7nqvR1DyYugyXBqkj8Rkjsb48+vzFmJibVmoVzMLb/6ei5fsg5B+JiZnQlJ7x9aWYtefA5Vfsd19RAym7SOY1COSFF3jcDdcBOWzCf+z5kDKgTjtngl7DFsxD7v+tIjnMTl/xmScWP9ARRIo1nzQ6JdhO3ToQIcOsV1OWrZsGYMGDaJPnz5Mnjy5zokSYP78+QB06dKlzvsmm7UVoeQRqYC1D4qfIFKiBIMtnho1WdrgKuy6U8BdxZYPzDIonRaa6/gcJmX3ur6NmBiTBm0egcovsaX/Bnc9+LqE5vHtGpdz1oXd9ChUfs32X+MgYLyRrR0/wpj0JETXSCq/I/LcTzd0D3ILayuh9F/Ykqeh6qcYTuJgS55TspQWJ2n3LJctW8bAgQPp3r0799xzD2vWbFl6Z/NI12XLljF48GCeeuop+vbty48//shzzz3HscceS7t27fj666+5+uqrOfzww9lnn6ZzvytmtoLIiTIkuIrIo0ktBBdjbWXEy1+28OZtEmX1CcCWePdN270et8uyxhgIHIAJHBCX49eXtZVQ8k/Cfy+sd1+v9C3IGJXI0BqNrfw+9L2PInR/HDavnnJJaPWUaKOZN9s+4Yq0BElLltOnT2fx4sUsXryYbt261Xht85XhyspKFi1aRElJCQCBQIAZM2bwwAMPUFxcTH5+PqNGjWLChAkJj79RmEyvcLS7PkIjC05ODB90htoLUIeOElwJ5TMJ/4EXhKofoHI+BPaPcq4Wxl3rVROKyI+t+i6mkgJNkS3+ewytDCZ95JanJVOh4sPNR4j9ZEal6aTlSVqyPPfcczn33HMjtunRo0eNgtL5+fl88EFtSx81T96yRKdD8d+I2MNMPwWKIo3m9UFgQOR7flWLieUDz1YugJT96ty79O6FPuWtdu+uB6c9JuMkyDirejRv0xXL6E3bbKe2WOuGyu9F+/6nQfqJ1fvY4qdi2GdbDqT/rh5RijRtTXi+QetgMs8H/+5s/63wnpvsCV7ScboQvufoYjJHRzlRjB/0RbdiV+2LW3AjturXmHaxweXYtcdD8aPgrgaqwF2J3fRX7LrfY4MxXP5LIuNrB/49ifzrEMSkDkpUSI2sCu+edxSBvhgn1/u33bhlWkjMfGCyMRln1HE/kaZPyTLJjJOJyXsWMv9Q8/KVvzemzd8wmWdiTACTNxmc9pv32ur/Bnw7YAuuxV13MrZkGtbWsuJFyr5gYh35Gxr0s24ktnJR1NZ243XepczteseuV/e14E8xnjd5TNalhO/d+7yvX0qfRIZUb9bdgA2uxFpvnUxjAuBEG3TnQI3pMbHOlTRUX6DydcbkPY3xqbqWtDyNPnWkOWhKU0e2Zm2FN5jHpNU6Qd3aMq/KT/kscIu8pZzserYMvgjNu/Tvicl7yqsgs/X+mx7FbrqvDhE54NsZ0/6NsJdlbdVP2LXDan1tC4NpPxPj7xalXXLZ4qnYoq3XTAzNafX3xrR90uuBJjqm4BpwN4CvfdRlzGzZLK86T9XX3gbTBtJPhdQ+sOkxqPw8wt7bf4/cdSdB5TdEvEWQ9jvw5WMC+0HgsKZdHEOkFkmbZ9kcNNVkuS1rS6HqZ8AP/p41Kqu4G8aEpp3UNhXAB2nH4LSpmRhdNwirDwI21SkOk/cCJsygH1v6b2zB/0U/RpuHMGmxzYNNJhtcgS2ZBsEfvTqtaUOTkgRsxVfYTfdCxSehLQ6kDsJkj8P4d9m+fcmz3mjnsJWSNq9RuS3vDy2TdQ0mq+alfFs2A7vx0jAR+sDXA9P+TSVIadaSNs9SGs66JdhND0DpC2BLvY1OB8i8ADLO8e4lbVuyrIYglL2FDV5fYxUPY9dj65gowXiF0MONkI25UkvzqOhifF0w2VckNQZb/il2w3nUTHoulL+PrfgE8p6vMR/WBldiC2/d0q5WYeZX+nbGZF1aa9UekzYEsq/DFt1FdQGJzcnYtwMm7wklSmk1lCybGGvLsRvODU2Q3+qDz13jXSKs+gUTOJDooxRdbxqI7+iGRoS1gfBTJgL98H6MqiIcIwCBAxsYR+tgrYstvB7ve79t4gvNh11/Wqh2rYFAf2/6Ub0YyBqLSR8SvkXm+ZA6BFv6AlT+ACYDk3Y0pB3dLGrAWhuE8g+wld9gjM+7StBiFiiQRFKybGpKXqyl5NpWSp/DOrEtY2XL3ofAoRgntCKL0x58+RD8Lfzxa1P8IJYCbxrINh+QxsnDpp8IpS9Se6/GQMbpGKfpXu5uUirmQnBZhAahAgnV7T9kc5WhurNQMA438L6XSEym9/9tGH93TPa10Y9mK6BsOrbsHbBF3q2D9JMxKb2i7hsPtvIb7IYxoVG9fiwW+As25QBMm4cxvvbRDiFSTddQmhhbUluB6q35ILiYmL51ZS9h15+MdTcC3rxOk/kH6jx3zl2FLboLu+Eir9rNNkzODRA4bEt8W/8/dQgmO/o9TQkJLqnrDqH/13foQSms6Y9dfSB29UG4hX/GRiySUTsbXI1dOxJbcDWUT4eKj6Hkn9h1v8MtuodED42wVb9h158dmsoE3pWP0Neq8ivshnNr/VkWCUfJsqkJ/krkD74gBFdD6lAiVeypVvVjaOBHSPppkH5SPQKz1R+A2zImFdP2cUzbqZB2HAQGQPrxmLxnvb/gm8HluibDZEdv0+hCVwTsJm/prbUnYIOrI++yFWutNxAo+HPN421OTsWPe8UqEsiWTAVbRu1XO0LVqspnJjQmad6ULJsaJ9qHpQNOLib3VvDHcnkrCGVve1MQAGMcTM5t3pSCerAlT9W63RiDSe2P0+YunLwpOLl3YAIHJWT5rxYl9QggmZWCgt6VhMLbY9+l8svQPfZwRdoNtvjxxPYuS/8dIR4AB1v6ZqKikRZAybKpSf0dkb8tLiZ9BMbJwbR7AdJi6SW6ULmg+pkxBlIHU/cPZQvBpbp8FUfGycJkXZjkKIJQ/h9sMPJSe5vZ8g+JfJXDesXVI96LbWQ22qhvN7REnUhslCybEOtuCk0oj1BJxt8LUr3Ri8YEMKkHxXbwrQZu2PI5sPFivMWf68pHTJd/pf4yx0DmhXi/ng7JGYfnQjCWJbkAQiNzo4o0YrqR+XYkckw+8O2UqGikBVCybEJswbVQ+UX4Br4dMXlTai7DFTiY6N/GAKTs553D2tCcvBiWBts+AEgdrLl1cWaMg5P9f5gOH2Kyr4fM8yHzMrykWZ/L2mmbj7zVI5ZAYrvyYFL2IWoiNLng6xrbeRuByTg9SosgJuPkhMQiLYM+9ZoIW7U4VGggUhILgmlbY4vxdYa0YYT/VhrIOHXL1I2q70Kjaet6/yhU6SVawXZpPLYAW/U/KHnWK1LvdMbr1W9TGzgiBzLPxXSYjcm6AtKOhbRjou/ndAwVl49B6pGh2rPhfgYdb/pQIgd6ZZwCKfuHjynjD5iU3omLR5o9zbNsKsreI3ypspDgUm/Eob9njc0m5zZscIU30KL6GKHyZoHDas6RC66oQ1B+vKTqAgFMm3saZUK3tRYqP8eWvgrBteDriEk/oV5Lg7VUtvwj7IaL8AaphAaquMsA610+dLqB8WNSB3iF8zfdw/YLNPvAvxMmc7RXJzhrTHWKdDemQtlrhPt5M5kX1zrnsta2JgXa/BW74ZzQguabB9aEzpbSJ1SoPnGMCUDeZOymh70R3JvvYfp2wGReWO8BbtJ6KVk2GWVETZYQGg5fk3GyIO9ZKJ8ZSkCrwNcNkzFq+7qmTowTsTMv9daltOXeX+DpI7cs39QA1lZgN14V6kVvrlfq8yrEpA2H3LtqXmZuhaxbgt14Od6yWlsnv9C/g0swGSd71XUIpUj/jl5iqPrBa2PSIf0kTNYV2xXUBzC5t2DtJm9OZI170C5kXgJ1XGbLBPaDdq9jS6ZA6etgS8DXHZN5hhdHEqYPGZOOyb4Gm3VFaEqW37uVodsIUg8qpN5ECqnbsnexGy+L0iqA6fiJlxzrex7rYtceFfrwCCcHOs7GVHzkffiaNEg9EuNv+IAIt+AmKP0ntV8GNpDxB5yc6xp8nubMlryILZwQuZHTGdPh/Rof/NZacFd4f1D5umJMWoQDhPap/AZb+jq4G71eV/oJGH9+A9+BSPOhQurNTeogr9fnrifsqhHpI6sTpXVLoOzf2NI3vIV6fT0xGadAYEDES5nGONjMK6EwQlUdJxvWDMHatXg/Ii4U3YlNHYrJvQPjZNbrLVp3Q6gsXri/zyyUPIPNGtOgPwiaO1v5DVHr7borve+72VIX1hhT50E0JmVvTMre9YpTpDXR9YgmwpgUTO79eB+S294rcrzLR9njgNAyUuuOwxbeCJWfhaqRTMduOA9bcJ1XPDrSudzlRBzg4S4Du3mOXRXVybt8OnbjFfWfXF7xCdGnD5RDxWf1O35L0cJWchFpCZQsmxCT2g/T7l+h0YqhTr9pA5mjMe2mYZy23tSPDZdAcHlor82JK5Qgy16FkskRz2NLpxG+d1fdqpZtrle4u3J+9DdT6yFjLWZQUb/jtxAmcBiR/6hwwL9PrfciRSQ+lCybGJOyO06b+zCdvsZ0/ALT8ROc7HFbpn5UfgFV3xKplJct/gfWRviwDZW+qy9beGvU3mutYhqqb8C/R92P3UxYdxO28lts1WKsDTOYK/Vw8PUkfPEHd7uFmkUkvpQsmyhj/F7ps21H7lV8QtQKOu7ayKtX+Do0LLiqBdjCiXXezfh3gZSDCB+/z1tSzL9jg8JriqxbgFtwI3Z1f+y6kdi1x2LXDsGWTNvusrYxPkzbJ7a6/7j5Z8D7upmsazBpQxMXvIgoWTY/sVXesZsew1YtqfU1k34iDf7Wl77oFVKoI5N7Z2ix4lruyzodMbl1KODdTFh3E3bdaVA6jRolBoPLsIU3YDc9tN0+xt8N0/5tTO49Xh3fwCGQcTam/TvqVYokgZJlc5NyAJFXUwgpex27dpg373JbGWeAbwdq7+HFWhTAhy19Lca2Wx3d3w3T7jXI/EOoGpEBpx1kXoRp/4pXkaiFscX/CNVZ3fb7FupRFv8VW7V0u/2MCWDSf4fT9q84eZMx2ddA1Y+4BTfgbrwWWzwV6xbEPX4R0TzLJjPPMlbePMlhoXmSsdw3dDDtXsGk1LwPaIOrsQU3QMVstgzm8XvrUZbPBRtthQgH0kfi5N5R9zexdRzWtuiqPdZa7JoB4EZawcMHmRfghEY713qcql+xG84PXV7f/EfO5spK92HSjmq8oEVaEc2zbKGMcaDt37Drz/Qmkke9LGuwxU9h2kyqudXXEZP3d2zVr1D5jbcqSeAgjJOHG1wNaw6PcmzXG6nbQC05UXoqoiRK2Lz0WdhXbQV2w7lbjYDe+o+kCuzGK6DdS5iUGGu5ikid6TJsM2T8u2DavYnJuhyIVkYs6E33CHusfEz6sZi0oRjHm+Du+DpC+onRA6n6OfagW60Uon+PDJgIVzjK/hPhSoJ3VcAWP1nP+EQkFkqWzZTxtcNkjQH/rjG0rsdyXBmnRW9T8QE2uLLux25FjHG8lT4ijmAOYtKGh33Vls8g8q9qEMqm1zNCEYmFkmU9WLcAW/wUbuHNuEX3YCsXJC+YQKSpGHivBfrV+bAmpiToQsXndT52a2OyLsTrYdb26+ZASt/I3yO3jOh/8FTUv7KSiESlZFlHtvRl7OpDsUW3Q8kLUPwkdt0JuOsvwLqbEh6Pt8htpA/JICbjrHocOdbeqD6gozH+XTB5k7da8cVP9a9e6hGYto9Gvneb0ovIv6oGfLu0gvu/IsmjAT51YMtnYwvGsyVBbFUlp+K/2I1XY/L+ntCYjL8H5N6BLbgeb9rH5vta3vJXJvs6TOCAuh84ZR+iLxlmIGW/uh+7FTKBPtDhfSj/wFuA26RB6kCvUEO0fTNOxhY/FrlNZn3+IBKRWClZ1oHd9DDbL7C7mevdw6v8Nu4rsFu3GMpe9eY5uhvA1x2yr4OKRVD5kRdLoC8m46z6JUrA+DphU4dB+X+ofWCJz+sVaTmnmBnjh7TBwOC67efbAXJuxBbexJY1QKF6TmzqoNgGZIlIvSlZxsgG18ZQQNyHLZse12Rpgyux68+A4G+bt3j/rpjtrTnZYVajLZ5scm/Grv9xy4LCWKo/oH3dMbl/bpTzSHQm43Tw7YgtfjxU8pDQAt9nQ8YZXiIWkbjRb1isbEkMjQzY4viGsfHy0Hy7rXu3oZ5G+XvYTX/FZF/VKOcyTi60exFKX8WWvOitoeh09MrlpZ9Q73UtpX5M6qGY1EOxttxbwcVkNvg+pa36DYI/gsmAlH0xJto0F5HWSckyVr5OYNLBlkZoVIXx7xy3EGzlN1D5VaQWUPI0NusSjEltlHMakw4Zp2FimUoiCWFMKjTw+2urfvWK4Vf8d6sDt4GsiyHjPA0WEtmGRsPGyJjU0H2hcNM0DJAOaSPiF0TFXKJ+y2zRVpdNRbZngyuw60+CijnbvLARW3QHdtN9yQlMpAlTsqwDk3U5+Hak1hUzMJjcSXG+NBnrNA1N55Dw7Ka/gVtA2NrCxY97l2dFpJqSZR0Ypw2m3YuQcRaYrZJioC+m7VRM+rHxDSDlQKLOfzSZ4N8tvnFIs2VtBZS+SuQi/A6UvZqYgESaCd2zrCPj5GJy/ojN/j9w14PJwDgJWrkkZV/w7+XN06v1w84JjYxMS0w80vy4hdRYU7NWBhtcEfNibSKtgZJlPRkTgASvvWiMgbYPYdedAe6K0FZLdfGAwCGYrCsSGlOLFAzChx/CihXQpQscdhj4IpUUbEacLGrO1ayN9dYYbaKsdaFiNrbkJW/alNMekz4S0oY22rQpkW0pWTYzxrcDtH8dSl/yFnYOFSUwGadA2jDNt2uol1+GK6+E37a6Z9etGzz4IJxwQvLiaiTGpGHTjoGytwmfMIOY9N8lMqyYWRtakqx8FluSvoOtmA3Fe0HeZG/Kk0gjS+o9yx49emCMqfG4447IiwmXlZUxZswY2rVrR1ZWFqNGjWLVqlUJirhpME42JvM8nPav4XScjdPuaUz6CCXKhnr5ZTjxxJqJEmDZMm/7yy8nJ65GZrLGgAlQ+6+/gbRRMZXhSwZbdB+Uvxd6tjnZh+7jV30XKkcp0viSPsDnlltuYcWKFdWPyy+/PGL7q6++mtdff51p06bxwQcfsHz5ck5oAX/xS5IFg16PsraVOzZvu+oqr10zZ/w7Y/KeAV+PbV7xQ8bZmNxbkhFWVNbdBCXPEX60dxDKZ2Krwi+kLVJfSe+KZGdn07lzbPf+CgoKePLJJ3nuuec48sgjAZg8eTJ77LEHn3zyCQcffHCt+5WXl1NevmVQQ2FhYcMDl5blww+371FuzVr49Vev3cCBCQsrXkzK3tD+baj8Aqr+5xXcSD0c47RNdmjhVX4DlEVpZL1ygP4dExGRtCJJ71necccdtGvXjv3335+7776bqqqqsG3nzZtHZWUlQ4YMqd7Wq1cvdtxxR+bMmRN2v0mTJpGbm1v9yM9X8W/ZxooV0dvUpV0zYIzBBPpgMk7FpB/ftBMlEPuycfVY7FwkiqT2LK+44goOOOAA8vLy+Pjjjxk/fjwrVqzgvvtqryCycuVKAoEAbdq0qbG9U6dOrFwZfrHi8ePHM3bs2OrnhYWFSphSU5cujdtOGl/KHngfWeH/oPba7Z+IaKSVafRkef3113PnnXdGbPPdd9/Rq1evGglsn332IRAIcNFFFzFp0iRSUxuntilAampqox5Pmjdb+R0EfwWTC4E+3sCoww7zRr0uW1b7fUtjvNcPOyzxAQsAxsnDpv0uVDChtt6jD1L2w6TsnuDIpDVo9GQ5btw4zj333IhtevbsWev2fv36UVVVxZIlS9h99+1/4Dt37kxFRQUbN26s0btctWpVzPc9pfWyFV9hC28MFXUIcdpD1lhMxone9JATT/QS49YJc3NR8QceaDnzLZspk3MDtmoRVH0b2rL5+2TA6YRpo7q2Eh+Nniw7dOhAhw4d6rXv/PnzcRyHjh071vp6nz59SElJYebMmYwaNQqARYsWsXTpUvr371/vmKXls5ULsOvPBCprvuCuxRb+EWwJ5oSz4aWXap9n+cADLWKeZXNnnGxo908ofRlb8oK3XJ2Th0kfBRmnaI6lxI2xtrZrTvE3Z84cPv30UwYNGkR2djZz5szh6quv5phjjmHq1KkALFu2jMGDB/PUU0/Rt29fAC655BLeeustpkyZQk5OTvVUk48//jjmcxcWFpKbm0tBQQE5OQkqVSdJ5a4/O7RqS7jBH2mYjh9jnKyWXcFHRGqINR8kbYBPamoqzz//PDfddBPl5eXstNNOXH311TXuY1ZWVrJo0SJKSrYsvHz//ffjOA6jRo2ivLycoUOH8re//S0Zb0GaCRtc6U0niKgMyv4DGaO8xNgCpoeISONJWs8ymdSzbF1sxVfe+o0R+TFZl2GyLk1ITCLSNMSaD5I+z1Ik7nztY2gU9Ab7iIjUQslSWjzj2wFSDiDyj3sKpA1NVEgi0swoWUqrYLKvxftxr/1H3mRdppGUIhKWkqW0CiZwAKbtk+DbYZsXsjDZ10PmRckJTESahaQXUhdJFJPaH9rPgMrPoepXcHIg9VCMSUt2aCLSxClZSqtijIHAQd5DRCRGugwrIiIShXqWUs2666HsbWxwLcbXAdKOxThtkh2WxMDaCih7F1s+E2wp+HfHZJzsjQQWkQZTshSstVD8KHbTQ0AQ8GEJQuHtkHUlZI72Ll9Kk2SrfsNuOBeCS/EuFrlQ/gG2+FHI/hMm88wkRyjS/OkyrEDJFOym+/HWCbRb/b8Su+keKHk2qeFJeNYGsRvOh+Cy0JbNtW+DgMUW3YItn52k6ERaDiXLVs7aslCPMkKbTQ96l/mk6Sl/H4I/4yXH2jjYTY8nMCCRlknJsrUrnwN2U+Q2tiC0Yoc0Nbb8fSDSiiguVM71/igKLsNWLsQG1yUoOpGWQ/csWztbGGO7ovjGIfVUGb0JYNedDlULQs8MNvVITPY1GH/tC7GLSE3qWbZ2vu4xttsxvnFIvRj/noRfo3MrVQu3emKh/H3supOwVT/GKzSRFkXJsrVL2Rd8PQn/o+CAf3fw905kVBKr9JFAKhBttPK2K/EFwZZgC2+LS1giLY2SZStnjMHk3o53RX7bHwcHSMHk3KapI02UcbIxbe7H+15tfe8ylu9XECo+xgZXxCc4kRZEyVIwgT6Ydv+EwMFbb4XAAEy7FzCBfZMWm0Rn0gZj2v0L0o6lupfp2xlSjyamHmfwt/gHKdLMaYCPAGBS9sbkTcEGV4O7FpwOXhUfaRZMSm9Mm3sBr8iEMQZbMg1b/m4MO2fHOTqR5k89S6nB+Dp6H7xKlM1W9SXztMFE/nvYeAO8/LsnIiyRZk3JUqSFMk4eZP4hQguLyR6n+9EiMVCyFGnBTNZYyLwA71fdsKWnmY7J+TMmbVjyghNpRnTPUqQFM8bBZF+LzTjPW1HG3YjxdYO0oRgnM9nhiTQbSpYirYDxdYDMs2OaUCIi29NlWBERkSiULEVERKJQshQREYlC9ywlYWxwDQSXgskC/26asiAizYaSpcSdrfoVWzQJymdSXdDb1x2yrsakH5vU2EREYqFkKXFlg8uw604MrZu51coXwaXYgqvAFmAyTktWeCIiMdE9S4krW3RfKFEGt33F+2/h7Vg3xgWoRUSSRMlS4sa6RVD2Ntsnyq1VQtkbiQpJRKRelCwlftzVQFWURj6slogSkSZOyVLix+TG0MjFxNRORCR5lCwlboyvPaT0I/KPmYW04YkKSUSkXjQaVuLKZF+JXX8W3ooXdttXIf0UjL9bnY9r3U1Q9ga28jswAUzqIAj019xNEYkLJUuJKxM4ENo+ii24Dtz1gA9w8RLl6ZicP9b5mLZsFrZgLNgSNv8I25Kp4O8NbR/H+Do25lsQEVGylPgzqUdAhw+h/H2oWgJOFqQO8VbCqCNbuQC7cQxewoUaA4iqFmE3/AHavYYxvkaIvOmybhFUfu09SdkT47RJajwiLZ2SpSSEMSmQdlSDj2M3Pb75X7W8GoSqH6D8A0g7ssHnaoqsLcMW3Q0lLwAVoa0p2PQTMNnXa41KkTjRAB9pNqx1oXwGkedt+rDl7yYqpJhYW44teQF37Qm4qw7GXXMMtviJOhdjsLYKu+FiKHmWLYkSoBJKp2E3nIe1FeF2F5EGUM9SmpEqos/bdMEtSUQwYVlbCqVvYasWeh3gio8h+BPVg5yC673eYfGz0O45jK9LbAcun+kdq1YuVM73Cjykn9Ao70NEtkhaz/L999/HGFPr47PPPgu738CBA7drf/HFFycwckkWYwLg2yFaK/DvkpB4amPLP8KuPhRbOB5KnofSZ0OJEmpeOrbgrsRuHBv7sUteJPKvrIMteaEeUYtINEnrWQ4YMIAVK1bU2PanP/2JmTNncuCBB0bcd/To0dxyyy3VzzMyMuISozRB6SfDpvsjNjEZJycomJps5Q/YDReypfcbrRcchMp52MrvMCl7RD9BcBlbBjbVxg21EZHGlrRkGQgE6Ny5c/XzyspKXnvtNS6//PKoc+UyMjJq7Cutg7VlUDYjYhuTPQHjS87Phi1+Ai+Z1Tb4KILKLyGWZOm0h+DPEY5vvDYi0uiazACff//736xbt47zzjsvattnn32W9u3bs9deezF+/HhKSiLfoyovL6ewsLDGQ5qhkhegakHkNoH9ExNLbcr+Q+TBR+HE9mto0n9PtERsQvcrbdVSbPn72Iq5GvQj0giazACfJ598kqFDh9KtW+RqLqeffjrdu3ena9eufP3111x33XUsWrSIl19+Oew+kyZN4uabb27skCXBbMk/o7TwYUumYXL3TEg8W7PWAmX12znQL7Z26SOgZApULWb7pOwDXzdsyoHY9efWHAhk2kLWpZBxtiocidSTsd5veaO5/vrrufPOOyO2+e677+jVq1f1899++43u3bvz4osvMmrUqDqdb9asWQwePJjFixez884719qmvLyc8vLy6ueFhYXk5+dTUFBATk5Onc4niWdtFVR8gt0wmqg9t0B/nLypCYlrW+6aoyH4C7FfhvVB4FCcvL/HfA7rrsduvA4qPqj5QsrBkP1/sGF0mPVDgcwxONlXRj5+cA2UvoAt+w/YUvD3xmScgUmNMaGLNDOFhYXk5uZGzQeN3rMcN24c5557bsQ2PXv2rPF88uTJtGvXjt/97nd1Pl+/ft4vcaRkmZqaSmpqap2PLclnS9/EFt0O7toYWjsxrnQSHybjTC/WqBzABf+umDZ31e0cTh4m7+/YqiVQMRewEOiD8e+Cu3F8+EQJUPw3bMYpYe/p2spvvF6pLaZ6IFFwGbb8HWzGeV7RA/VMpZVq9GTZoUMHOnSIvYyZtZbJkydz9tlnk5KSUufzzZ8/H4AuXWKcqybNhi17G1twdR32cDHpSVzBJONUKJsOlZ9Rc9RqaH6lbxcwDjgdMOkjIe0YbzpMPRh/D/D3qH7uDX76N5F73gZKX4GsS7Z7xdoyr+e+daKELccrmQwpvSH9+HrFK9LcJX2Az6xZs/j555+54IILtntt2bJl9OrVi7lz5wLw448/cuuttzJv3jyWLFnCv//9b84++2wOP/xw9tlnn0SHLnFkbRBbOKkOezjgdMG6hdiqpXGLKxJjApi8JzBZl4HTbssL/t6YNg/hdHgLp/0bOHmTMenH1ztR1srdCFRGaeRggytrf6ns7VCh+3BTUxxs8ZP1Dk+kuUv6AJ8nn3ySAQMG1LiHuVllZSWLFi2qHu0aCASYMWMGDzzwAMXFxeTn5zNq1CgmTJiQ6LAl3io+BzfMB3sNm5f+csFdAYU3YAEbGIhpcwfGyYtvnNtGY1Ih6zLIvATcNd7yYTHGYCu/9goPBJeAycWkDYe0o7y6ulFPnEP15d3wZ4AwsdiKz/BWhAnXM3Wh6nusW4JxNK9ZWp+kJ8vnnnsu7Gs9evRg6/FH+fn5fPDBB2HbSwsS0z1KwGTVcukQqPgQu/5MaPcvjElv9PCihmV8EON8T2sttvBWKH2GLQnLwZZPh+LdIW9q1IRrnAxs6tFQPp3wCS+ISQ83LiDWQUmNOh5QpNlI+mVYkVr5OsXWzhZRe28q6E2xKH2t0UKyld/iFt2DWzARW/wk1l3fOAcueSqUKGFLogu9p6rF2A2Xh86/EHfj9birj8BdPRC3YAK28vvqw5isy4EAtf9aG0g/GePfqdYQTMpBRL7f6YB/d61qIq2WkqU0TSkHhOrAhht9aYCUCK97bWzpSw0OxdpS3A2XYteNhOInvRU+iu7yasAWPxN1/8jHDmKLI00dCULlZ7hF92HXnQBlr3mXm93lUPov7LqR2NJXADApu2LaPQ2+7tscIwUyzsPk3BT+NOnHevMxw34kuJjM82N/YyItTNIvw4rUxhgHsm/EbryYLfclq1/1/ufkRrlcayG4psGx2I3XQ/ms0LOte19V2KJbwNcekzasfgev+gnc1VEaOVD8aC3n9/5tC8ZDyj4Y/86YlH2g/TtQOc/rWZtMSD0s6uLQxqRB28exG84DW8KW3nrosnDG2ZCmkbDSeqlnKU2WSRuEafMo+PJrvuDbAdPmb+DbmWircODr2qAYbNXPUP42kQbO2MKbcativMe6nWjF1sH7QyFKD7pky71/YwwmcCAm41RM+nFRE2X1foF9Me3fgcxLvWkuvm6QeiSm7RRM9g2aYymtmnqW0qSZtEGQOhAqvwJ3FTgdIWVfr+dpS7AFn0bY2234CiRl04k6ytRdB2uPxrZ7BpPSu27H9/cAkxHqzYUTbVBNECo+qdt5wzC+jpjsKyD7ikY5nkhLoZ6lNHleT2k/TNpQTGB/L1ECpA2DlD7U/mPsQMp+kNawIgXWloY5/raKsRtG17louTHpkH5KhHP4Qo+oR6rTeUWkbpQspdkyJgXT9klIPwlvsM9mfkj7PabtPxo88d/4dybmS6XuGih7t+7nyLoSUvbBS3hbJz2f1+tMHUzkhOmDwCF1Pq+IxE6XYaVZM04GJvdWbPZY71IteINdGqsYQdrRUJgbqrka7XKoH1vxKSZ9RJ1OYZwMyHsaSl70VlYJ/gpOFqQdj8k8G9wibHm4dTy9BGsyzqjTOUWkbpQspUUwTlvv3mZjH9cEoM3d2A2XENtalfWbtG9MKmSehck8a/sXfUDundiC6/CSY3CrFwymzf0Y/471Oq+IxEbJUiQKkzoQ2/Y52HAeEGkgThUm0Dc+MaQfDyl7e6NeK+YABgKHYjJOV6IUSQAlS5EYOKn7Y3MmYAv/GK4FOG29QUdxYvw9MTmqgyySDBrgIxKr9FGQfnroydYDbhwwmZi2jzfuSiIi0mSoZykSI2MM5EyEtKOwJc9C5Xdg0jHpx0D6KRhfx2SHKCJxomQpUgfGGGygH8YWY33dvcWcUw4Ap31Czm/dYq84g8nExFpsXkQaTMlSpA5s5bfYDReH1tr0fn1s8d+90nttH4vbYBsbXIvd9ACUvgp4hQ9syr6YrCswqYfF5ZwisoXuWYrEyAZXYteftVXh8yqqCxYEl2DXn+X1/Br9vGux606E0n+xOVECUPkNdsMF2NJ/N/o5RaQmJUuRGNmS52pfaBqAILgrsKUvYW1l455301+8S6/bzfN0AYstmIB1NzXqOUWkJiVLkViVvk7EguoARbdjV+2Du+EybOU3DT6ldUug9BUiF0Qoh7I3G3wuEQlPyVIkVjbWS6xBKJ+JXXcKtuy9hp3TXQ2UR2nkx1Ytadh5RCQiJUuRWPl3IfZfmSAQxBaM83qH9WUyY2hUGWWJLxFpKCVLkRiZjNOJehm2Bgt2E5S9Xf9z+jpAyv5EXYKr9F/Yyu/rfR4RiUzJUiRWaceElsuqy9qRfmzVonqf0htdm0osC0DbovvqfR4RiUzJUiRGxvgwbf6CyRoLTocY97JQzxJ41ga9OZ2Vc2NoHYSKD7DBdfU6l4hEpmQpUgfGpGCyLsJ0mI1pPwv8uxP51yiISR1Sv5OVz4bKT4n90m9oAWoRaXSq4CNSD8b4wN8Nsq7Ebrw0TCufd78xZd+YjmmDa6DsHbAF4OuGLZ3pHSOmdTRDnHaxtxWRmClZijSASRsC2X/CFt2+9VYgCCl7Ydr+1SvAHoG1QWzR3VAyBe/epA+vMpBD7L1KBwL9vQFBItLolCxFGshkngVpR0Hpy9iqn8BkYNKGeckrSqIEsEX3QMk/ttoSKqFXl0SJH5M9to6Ri0islCxFGoHxdYasS+s0TtbaCmxwVahH2QC+HTG5kzApezfsOCISlpKlSILZ8k+wxY9DxUdEnxISjuPdn8y9ExM4JKYerIjUn5KlSALZkpexhePxLp3WJVEG2LLiiAOpQzG5EzFOXqPHKCLbU7IUSRAbXIMtvAEvSdZhhCsG2r2OcZcBVeDvjfF1jE+QIlIrJUuRRCl9ibpfdvVB4FCclJ2AneIQlIjEQkUJRBLEVtW1dqvPG1mbMz4u8YhI7JQsRRImjdjryhpIHYhp9xLG3zOeQYlIDHQZVqSBrLsRSl/Clr7hrTLi38VboSRwWI1RqiZtCLbslQhH8kGgHyZ7HDhdMT5V4xFpKpQsRRrAVv2IXX8WuOuovh8ZXIYtnwVpJ0DunzEmdAEndRD4doLgUrYf4GMAi8m6QvMlRZogXYYVqSdvVZCLwN1AzYE7oURY9jKUPFO91Rg/Jm8K+HqEtvhCDwP4Mbn3YgIHJCByEakr9SxF6qt8dqiXGJ4tfhIyzqzuXRpfF2j/BpTPxpbPBFuOSdkD0n+PcdomImoRqQclS5F6spWf4f0KVYVv5K4AdyX4ulZvMsYHaYMwaYPiHqOINA5dhhWpLxvrnMn6lrQTkaYibsny9ttvZ8CAAWRkZNCmTZta2yxdupThw4eTkZFBx44dueaaa6iqivBXOrB+/XrOOOMMcnJyaNOmDeeffz6bNm2KwzsQicwE+hKxVwngdPEeItKsxS1ZVlRUcNJJJ3HJJZfU+nowGGT48OFUVFTw8ccfM3XqVKZMmcKNN94Y8bhnnHEGCxcuZPr06bzxxhvMnj2bCy+8MB5vQSSy1MPB1w1vkE5tDCbz3C2jYUWk2TLWxnwtqV6mTJnCVVddxcaNG2tsf/vttxkxYgTLly+nU6dOADz66KNcd911rFmzhkAgsN2xvvvuO3r37s1nn33GgQceCMA777zDsccey2+//UbXrl2326c2hYWF5ObmUlBQQE5OTsPeoLRqtmoxdv2Z4G5ky/qTPiAIab/D5N6lZCnShMWaD5L2Wzxnzhz23nvv6kQJMHToUAoLC1m4cGHYfdq0aVOdKAGGDBmC4zh8+umnYc9VXl5OYWFhjYdIYzD+XTDt38JkXQ3+3cHZAQKHYto8hsm9W4lSpIVI2mjYlStX1kiUQPXzlStXht2nY8eaqy34/X7y8vLC7gMwadIkbr755gZGLFI74+RB1kWYrIuSHYqIxEmd/uy9/vrrMcZEfHz/fV2LRcff+PHjKSgoqH78+uuvyQ5JRESakTr1LMeNG8e5554bsU3PnrEVfe7cuTNz586tsW3VqlXVr4XbZ/Xq1TW2VVVVsX79+rD7AKSmppKamhpTXCIiItuqU7Ls0KEDHTp0aJQT9+/fn9tvv53Vq1dXX1qdPn06OTk59O7dO+w+GzduZN68efTp0weAWbNm4bou/fr1a5S4REREthW30QdLly5l/vz5LF26lGAwyPz585k/f371nMijjz6a3r17c9ZZZ/HVV1/xn//8hwkTJjBmzJjqXuDcuXPp1asXy5YtA2CPPfZg2LBhjB49mrlz5/LRRx9x2WWXceqpp8Y8ElZERKSu4jbA58Ybb2Tq1KnVz/fff38A3nvvPQYOHIjP5+ONN97gkksuoX///mRmZnLOOedwyy23VO9TUlLCokWLqKysrN727LPPctlllzF48GAcx2HUqFH85S9/idfbEBERif88y6ZI8yylPqzrXRUxTlaSIxGRxhJrPlAhdZEIrLVQ+gq25B9Q9YO3zb8bJvN8SBtZY3FnEWm5lCxFwrDWYgtvg9Kn8dacDKn6H7bgOqhcCNk3KGGKtAIqLyISTsXHoUQJNVcOCf275CmoCF85SkRaDiVLkTBsyXOEL5IO4MOWPJuocEQkiZQsRcKp+g4IRmgQDLURkZZOyVIkHJPeOG1EpNlTshQJw6QNI/KviINJOyZR4YhIEilZioSTfiqYTGr/NXHAZEH6yYmOSkSSQMlSJAzj64DJmwJOm9AWH9WzrZy2mLwpGF/75AQnIgmleZYiEZiUvaHDB1D2NrbiM29boC+kHYMxgSRHJyKJomQpEoUxqZA+EpM+MtmhiEiS6DKsiIhIFEqWIiIiUShZioiIRKFkKSIiEoWSpYiISBRKliIiIlEoWYqIiEShZCkiIhKFkqWIiEgUSpYiIiJRtMpyd9ZaAAoLC5MciYiIJNPmPLA5L4TTKpNlUVERAPn5+UmOREREmoKioiJyc3PDvm5stHTaArmuy6JFi+jduze//vorOTk5yQ4pIQoLC8nPz9d7buH0nvWeW6p4vGdrLUVFRXTt2hXHCX9nslX2LB3HYYcddgAgJyen1fygbab33DroPbcOes8NF6lHuZkG+IiIiEShZCkiIhJFq02WqampTJw4kdTU1GSHkjB6z62D3nProPecWK1ygI+IiEhdtNqepYiISKyULEVERKJQshQREYlCyVJERCQKJUsREZEoWl2yvP322xkwYAAZGRm0adNmu9e/+uorTjvtNPLz80lPT2ePPfbgwQcfTHygjSza+wZYunQpw4cPJyMjg44dO3LNNddQVVWV2EDj6IcffuD444+nffv25OTkcOihh/Lee+8lO6y4e/PNN+nXrx/p6em0bduWkSNHJjukhCgvL2e//fbDGMP8+fOTHU5cLVmyhPPPP5+ddtqJ9PR0dt55ZyZOnEhFRUWyQ2tUf/3rX+nRowdpaWn069ePuXPnJuzcrS5ZVlRUcNJJJ3HJJZfU+vq8efPo2LEjzzzzDAsXLuSGG25g/PjxPPzwwwmOtHFFe9/BYJDhw4dTUVHBxx9/zNSpU5kyZQo33nhjgiONnxEjRlBVVcWsWbOYN28e++67LyNGjGDlypXJDi1u/vWvf3HWWWdx3nnn8dVXX/HRRx9x+umnJzushLj22mvp2rVrssNIiO+//x7XdXnsscdYuHAh999/P48++ih//OMfkx1ao3nhhRcYO3YsEydO5IsvvmDfffdl6NChrF69OjEB2FZq8uTJNjc3N6a2l156qR00aFB8A0qQcO/7rbfeso7j2JUrV1Zve+SRR2xOTo4tLy9PYITxsWbNGgvY2bNnV28rLCy0gJ0+fXoSI4ufyspKu8MOO9gnnngi2aEk3FtvvWV79eplFy5caAH75ZdfJjukhLvrrrvsTjvtlOwwGk3fvn3tmDFjqp8Hg0HbtWtXO2nSpIScv9X1LOujoKCAvLy8ZIcRV3PmzGHvvfemU6dO1duGDh1KYWEhCxcuTGJkjaNdu3bsvvvuPPXUUxQXF1NVVcVjjz1Gx44d6dOnT7LDi4svvviCZcuW4TgO+++/P126dOGYY45hwYIFyQ4trlatWsXo0aN5+umnycjISHY4SdOSPrcqKiqYN28eQ4YMqd7mOA5Dhgxhzpw5CYlByTKKjz/+mBdeeIELL7ww2aHE1cqVK2skSqD6eUu4TGmMYcaMGXz55ZdkZ2eTlpbGfffdxzvvvEPbtm2THV5c/PTTTwDcdNNNTJgwgTfeeIO2bdsycOBA1q9fn+To4sNay7nnnsvFF1/MgQcemOxwkmbx4sU89NBDXHTRRckOpVGsXbuWYDBY62dUoj6fWkSyvP766zHGRHx8//33dT7uggULOP7445k4cSJHH310HCJvmHi97+Yk1q+BtZYxY8bQsWNHPvzwQ+bOncvIkSM57rjjWLFiRbLfRp3E+p5d1wXghhtuYNSoUfTp04fJkydjjGHatGlJfhd1E+t7fuihhygqKmL8+PHJDrlR1Od3fNmyZQwbNoyTTjqJ0aNHJynylqdFrGc5btw4zj333IhtevbsWadjfvvttwwePJgLL7yQCRMmNCC6+GnM9925c+ftRpatWrWq+rWmKtavwaxZs3jjjTfYsGFD9Tp4f/vb35g+fTpTp07l+uuvT0C0jSPW97z5j4DevXtXb09NTaVnz54sXbo0niE2urp8n+fMmbNdoe0DDzyQM844g6lTp8YxysZX19/x5cuXM2jQIAYMGMDjjz8e5+gSp3379vh8vurPpM1WrVqVsM+nFpEsO3ToQIcOHRrteAsXLuTII4/knHPO4fbbb2+04za2xnzf/fv35/bbb2f16tV07NgRgOnTp5OTk1Pjw7apifVrUFJSArDdSuiO41T3wJqLWN9znz59SE1NZdGiRRx66KEAVFZWsmTJErp37x7vMBtVrO/5L3/5C7fddlv18+XLlzN06FBeeOEF+vXrF88Q46Iuv+PLli1j0KBB1VcQtv1Zb84CgQB9+vRh5syZ1VOfXNdl5syZXHbZZQmJoUUky7pYunQp69evZ+nSpQSDwer5V7vssgtZWVksWLCAI488kqFDhzJ27Njq6+E+n69RE3KiRXvfRx99NL179+ass87irrvuYuXKlUyYMIExY8a0iCWA+vfvT9u2bTnnnHO48cYbSU9P5+9//zs///wzw4cPT3Z4cZGTk8PFF1/MxIkTyc/Pp3v37tx9990AnHTSSUmOLj523HHHGs+zsrIA2HnnnenWrVsyQkqIZcuWMXDgQLp3784999zDmjVrql9ryleG6mLs2LGcc845HHjggfTt25cHHniA4uJizjvvvMQEkJAxt03IOeecY4HtHu+995611tqJEyfW+nr37t2TGndDRXvf1lq7ZMkSe8wxx9j09HTbvn17O27cOFtZWZm8oBvZZ599Zo8++mibl5dns7Oz7cEHH2zfeuutZIcVVxUVFXbcuHG2Y8eONjs72w4ZMsQuWLAg2WElzM8//9wqpo5Mnjy51t/vlvYR/9BDD9kdd9zRBgIB27dvX/vJJ58k7Nxaz1JERCSKlnNRW0REJE6ULEVERKJQshQREYlCyVJERCQKJUsREZEolCxFRESiULIUERGJQslSREQkCiVLERGRKJQsRUREolCyFBERieL/AbHPo/s4WSzyAAAAAElFTkSuQmCC\n",
|
|
"text/plain": [
|
|
"<Figure size 500x500 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"plt.figure(figsize = (5,5))\n",
|
|
"plt.scatter (X[:,0], X[:,1], c=T)\n",
|
|
"plt.scatter(mu[:,0],mu[:,1], c = 'red', marker = 'o')\n",
|
|
"plt.show()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 124,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"0 custer dist: [[43.11598405]]\n",
|
|
"1 custer dist: [[723.0435087]]\n",
|
|
"2 custer dist: 0\n",
|
|
"3 custer dist: 0\n",
|
|
"Summary of squared cluster dist: [[766.15949275]]\n",
|
|
"Mean summary of squared cluster dist: [[191.53987319]]\n"
|
|
]
|
|
}
|
|
],
|
|
"source": [
|
|
"#Сумма квадратов расстояний до центроида\n",
|
|
"\n",
|
|
"cluster_dist=0\n",
|
|
"for j in range(0, np.shape(mu)[0]):\n",
|
|
" summ = 0\n",
|
|
" obj = np.where(T==j+1)\n",
|
|
" for i in range(0, np.shape(obj)[1]):\n",
|
|
" #print(euclidean_distances(mu[j].reshape(1,-1), X[obj[0][i],:].reshape(1,-1)))\n",
|
|
" summ = summ + (euclidean_distances(mu[j].reshape(1,-1), X[obj[0][i],:].reshape(1,-1)))**2\n",
|
|
" if(summ>0):\n",
|
|
" summ = summ\n",
|
|
" cluster_dist = cluster_dist + summ\n",
|
|
" print(j,' custer dist: ', summ)\n",
|
|
"print (\"Summary of squared cluster dist: \", cluster_dist)\n",
|
|
"\n",
|
|
"print (\"Mean summary of squared cluster dist: \", cluster_dist / np.shape(mu)[0])\n",
|
|
"\n"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {
|
|
"collapsed": true
|
|
},
|
|
"source": [
|
|
"# K-means"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 154,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"from sklearn.cluster import KMeans"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 155,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"[1 1 2 1 0 0 1 3 3 2 1 3 1 1 1 1 1 1 2 2 0 1 2 3 0 2 2 3 0 2 3 3 0 1 2 2 2\n",
|
|
" 1 3 3 2 1 1 2 0 2 0 0 1 3 2 1 0 3 1 2 1 2 2 1 1 2 1 2 1 0 1 3 2 3 3 1 2 2\n",
|
|
" 1 1 0 0 2 0 1 2 2 2 2 1 2 3 1 2 3 2 0 1 3 2 0 2 2 1]\n"
|
|
]
|
|
}
|
|
],
|
|
"source": [
|
|
"model = KMeans(n_clusters=4, n_init=10)\n",
|
|
"model.fit(X)\n",
|
|
"all_predictions = model.predict(X)\n",
|
|
"print (all_predictions)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 156,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": 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\n",
|
|
"text/plain": [
|
|
"<Figure size 500x500 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"plt.figure(figsize = (5,5))\n",
|
|
"plt.scatter (X[:,0], X[:,1], c=all_predictions)\n",
|
|
"plt.show()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 157,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"Sum of squared distances of samples to their closest cluster center.: 472.08573606137327\n"
|
|
]
|
|
}
|
|
],
|
|
"source": [
|
|
"print('Sum of squared distances of samples to their closest cluster center.:', model.inertia_)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 158,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"[6974.827094379589, 2194.619727635032, 870.8643547241177, 472.08573606137327, 259.5795564009951, 176.1282308577753, 153.70943167635173, 142.4483725489951, 125.24089654012067]\n"
|
|
]
|
|
}
|
|
],
|
|
"source": [
|
|
"inertia = []\n",
|
|
"for k in range(1,10):\n",
|
|
" kmeans = KMeans(n_clusters=k, random_state=1, n_init=10).fit(X)\n",
|
|
" inertia.append((kmeans.inertia_))\n",
|
|
"print (inertia)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 159,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"<function matplotlib.pyplot.show(close=None, block=None)>"
|
|
]
|
|
},
|
|
"execution_count": 159,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": 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\n",
|
|
"text/plain": [
|
|
"<Figure size 500x500 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"plt.figure(figsize=(5,5))\n",
|
|
"plt.plot(range (1,10), inertia, marker='s')\n",
|
|
"\n",
|
|
"plt.show"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 131,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": 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\n",
|
|
"text/plain": [
|
|
"<Figure size 640x480 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"kmeans = KMeans(n_clusters=6, random_state=1, n_init=10).fit(X)\n",
|
|
"plt.scatter (X[:,0], X[:,1], c=kmeans.predict(X))\n",
|
|
"plt.show()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"## DBSCAN"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 132,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"from sklearn.cluster import DBSCAN"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 137,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"Estimated number of clusters: 4\n",
|
|
"Estimated number of noise points: 8\n"
|
|
]
|
|
},
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"array([ 1, 0, 1, 0, 2, 2, 3, 3, 3, 1, 3, 3, 0, 3, -1, 3, 3,\n",
|
|
" 1, 2, 2, 1, 1, 1, 0, 2, 3, 3, -1, 0, 2, 2, 1, 2, 0,\n",
|
|
" 1, -1, 1, 3, 0, 1, 1, 3, 3, 0, 1, 2, 1, 0, 1, 2, 0,\n",
|
|
" 2, 2, 0, 3, 1, 2, 2, 1, 0, -1, 2, 0, 0, 3, 1, 3, 0,\n",
|
|
" 3, 2, 0, 1, 1, 3, 0, 2, 0, 1, 3, -1, 0, -1, 1, -1, 3,\n",
|
|
" 2, 2, 2, 2, 0, 2, 3, -1, 0, 0, 1, 3, 3, 0, 3],\n",
|
|
" dtype=int64)"
|
|
]
|
|
},
|
|
"execution_count": 137,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"#db = DBSCAN(eps=0.3, min_samples=7).fit(X) # параметры для make_moons \n",
|
|
"db = DBSCAN(eps=1.2, min_samples=6).fit(X)\n",
|
|
"labels = db.labels_\n",
|
|
"n_clusters_ = len(set(labels)) - (1 if -1 in labels else 0)\n",
|
|
"n_noise_ = list(labels).count(-1)\n",
|
|
"\n",
|
|
"print(\"Estimated number of clusters: %d\" % n_clusters_)\n",
|
|
"print(\"Estimated number of noise points: %d\" % n_noise_)\n",
|
|
"labels"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 139,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": 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\n",
|
|
"text/plain": [
|
|
"<Figure size 640x480 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"plt.scatter (X[:,0], X[:,1], c=labels)\n",
|
|
"plt.show()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": []
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": []
|
|
}
|
|
],
|
|
"metadata": {
|
|
"kernelspec": {
|
|
"display_name": "Python 3 (ipykernel)",
|
|
"language": "python",
|
|
"name": "python3"
|
|
},
|
|
"language_info": {
|
|
"codemirror_mode": {
|
|
"name": "ipython",
|
|
"version": 3
|
|
},
|
|
"file_extension": ".py",
|
|
"mimetype": "text/x-python",
|
|
"name": "python",
|
|
"nbconvert_exporter": "python",
|
|
"pygments_lexer": "ipython3",
|
|
"version": "3.9.13"
|
|
}
|
|
},
|
|
"nbformat": 4,
|
|
"nbformat_minor": 2
|
|
}
|