{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "### Simple clustering example using the package" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "from matplotlib import pyplot as plt" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Importing the package main class, and the Normal Inverse Wishart (NIW) prior.\n", "\n", "Follow the installation guide at: https://github.com/BGU-CS-VIL/DPMMPython before importing. Extra steps are required after `pip install`." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "scrolled": false }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "[ Info: Julia version info\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Julia Version 1.7.3\n", "Commit 742b9abb4d (2022-05-06 12:58 UTC)\n", "Platform Info:\n", " OS: Linux (x86_64-pc-linux-gnu)\n", " Ubuntu 20.04.4 LTS\n", " uname: Linux 5.15.0-41-generic #44~20.04.1-Ubuntu SMP Fri Jun 24 13:27:29 UTC 2022 x86_64 x86_64\n", " CPU: Intel(R) Core(TM) i7-8565U CPU @ 1.80GHz: \n", " speed user nice sys idle irq\n", " #1 2000 MHz 4557 s 177 s 964 s 53755 s 0 s\n", " #2 2000 MHz 4406 s 142 s 987 s 53928 s 0 s\n", " #3 2000 MHz 3702 s 88 s 987 s 54572 s 0 s\n", " #4 2000 MHz 4540 s 72 s 983 s 53874 s 0 s\n", " #5 2000 MHz 3757 s 247 s 950 s 54456 s 0 s\n", " #6 2000 MHz 4260 s 79 s 1096 s 53039 s 0 s\n", " #7 4029 MHz 4308 s 251 s 1008 s 53908 s 0 s\n", " #8 2000 MHz 4470 s 165 s 986 s 53839 s 0 s\n", " \n", " Memory: 15.47808837890625 GB (4394.2265625 MB free)\n", " Uptime: 6551.26 sec\n", " Load Avg: 0.43 0.57 0.8\n", " WORD_SIZE: 64\n", " LIBM: libopenlibm\n", " LLVM: libLLVM-12.0.1 (ORCJIT, skylake)\n", "Environment:\n", " WINDOWPATH = 2\n", " HOME = /home/dinari\n", " TERM = xterm-color\n", " PATH = /home/dinari/Downloads/julia-1.7.3-linux-x86_64/julia-1.7.3/bin:/home/dinari/.local/bin:/usr/local/sbin:/usr/local/bin:/usr/sbin:/usr/bin:/sbin:/bin:/usr/games:/usr/local/games:/snap/bin\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[ Info: Julia executable: /home/dinari/Downloads/julia-1.7.3-linux-x86_64/julia-1.7.3/bin/julia\n", "[ Info: Trying to import PyCall...\n", "┌ Info: PyCall is already installed and compatible with Python executable.\n", "│ \n", "│ PyCall:\n", "│ python: /usr/bin/python3\n", "│ libpython: /usr/lib/x86_64-linux-gnu/libpython3.8.so.1.0\n", "│ Python:\n", "│ python: /usr/bin/python3\n", "└ libpython: \n" ] } ], "source": [ "from julia.api import Julia\n", "jl = Julia(compiled_modules=False)\n", "\n", "from dpmmpython.dpmmwrapper import DPMMPython\n", "from dpmmpython.priors import niw" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Data Generation\n", "\n", "We will use the package data generation function to generate some 2D data" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[228, 1962, 951, 214, 1096, 181, 867, 245, 179, 90, 98, 665, 217, 1997, 151, 647, 178, 1171, 5258, 3605]\n" ] } ], "source": [ "D = 2 # Dimension\n", "K = 20 # Number of Clusters\n", "N = 20000 #Number of points\n", "var_scale = 100.0 # The variance of the MV-Normal distribution where the clusters means are sampled from.\n", "data, labels = DPMMPython.generate_gaussian_data(N, D, K, var_scale)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Plotting the data\n", "\n", "Note that as Julia is a column first language, the data generated is $DxN$" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.scatter(data[0,:],data[1,:],c=labels, s=1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Fiting DPGMM Model to the data\n", "\n", "Start by defining a niw prior and $\\alpha$" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "prior = niw(1,np.zeros(D),2,np.eye(D)*0.5)\n", "alpha = 10.0" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Fit the model and store the results in `results`.\n", "When working from Jupyter Notebook/Lab you will not see Julia prints. However when running python from terminal you will see all the prints (as in the Julia packages)" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [], "source": [ "results = DPMMPython.fit(data,alpha,prior = prior,iterations=70, burnout=5,smart_splits=False)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The returned object is a tuple with `(labels, cluster_distribution,sub_labels)`, we will only require the first item" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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Mq1EZfv5N5yG7CvKKolwwYyf2YOzEHg1djWZFdaFUlCYkLSWPjWsPn3bwj9L8qCCvKE3Iay8u5j9P/UJifHZDV0VpJFSQV5SLxJIF27nrhs/Izys57TY33zGcaTMGEhHld9pttm2OY+um2PqootIIqTZ5RblIHNiXQnxcFjnZxbi7u1TptrdnVxK7tyeyfUsc4yf35PIxbzF2YncefGL8KeU898TP2O0OIqL8ePXt6wgN972Qp6FcYCrIK02GlBKHXZ5zN7mLzdCRHejaI4o3XlpMelohC5c9zqq/9zPrtT8ICPIkM70QgKIiEzqdpsowfICS4nK0Wg3PvHAFr/5nISnH8sjMKKgM8s8+/hP5eaV88MWtaDQqAVtToYK8ctGSUrJzWwJ+AR5EtwzkyYd+4GBMKj8veRg3d2NDV69O2O0Onnjge0xlZmKPZALg6+eOudxamVJXIolqEcC4y3rw47cbyMkqYuCQ9rh7unD1xHeY9fFNhIb5cu3kd/H0cuXND2+gVZsggkO86dG7ZeWxMtILyMkuxuFwoNFoG+R8lbqngrxyUdi5LZ6Na48wYEhboqIDyM8v5atP/mHHVmfekhtvH0bc0UyMLno02ovjSt5isfHoPd8SGuaNh5crU6b2JbpVIHt2JeHv78EbLy1h2MiOHNiXXCXJltlsxcfXnY9m/U27TiE47JJtm+PYtjmOvv1bU1BQyppVB4huFUhBfhnlJivvvbUUi8VOTnYx33z+D0cPZzD2su789O0GWrYJ4qN3lvHYM5Po2CW8cvINpWlQQV5pdJISc/j43WXcfu9o2rQLISe7mJee/ZWSYjOLf92O3qDBanGmdo1s4Y+pzIKbm4GiQhMjRnfCxUXfwGdwbqxWO7FHMjh6OB2HQ2K3ORg6sgPPPPoT/gGe5OYU4+XjRnikH8cScyv3s9vslNnsFOSXkppyYrlOr2Hblji694zCw9OlMv1tfn4pcUczkVIS1dKfG28bTtfuUaSm5LHg561cOrEb6WkFvPPa77z+3vVnTDmgXHxUkFcalbzcEn74ai07tiYAKwkN92Xp4l04HLIyaZRGaNBoJZFR/vj6utP3sjYkJzlneTp8qPrZoX78dgO7tify0pvXYDQ2ji8Bd3cjv/71GF98tJKE+Cxm3DqUj99bDkB4pC+PP3MZMfuS2bMzscp+xzMrAtisjlNe79nlbMYpKS4H4FhSDplpBQC0bhOKp5cLk6f2ISe7mOAQb8ZO7I5ep+WPxbtIis9WQb6JUUFeaTQy0wuYMfXDyvfOQJ9Q+b6o0IRGIzCbbQCkpxWQlJDD7p1JldsEBXmTmpJHeETVLoSb1h3hYEwqJcXljSLI5+U6u0H6+Xvw0P9NAGDH1njW/3MITy8XZr54BQ/c8RVZGUW1PtbRQ+kUFjrzpSfEZ3L1xFl8+eM9RLbwZ/Dw9sz9ZgPXzBjElKuczUVK03JxNF4qTUp8bCYmk4VVf+/n7ps+JyvT2Svk4/eWczwNt15f/Z+mw3GibdpSEeydMwVpGDOuK3t2JXHrtR9z5w2fkZN9IkC+9u50fljwQL1OzlATN0+bzc3TZpMQl8Wt187mn5UH+PCdvzAYdHToGMa0Se+dEuCjKuYR/TcXl9NfqwkBuTklvDrrOoaNbI+ri56ISD88vZwTpDzz2E/M+2ETs2ctw9vHjW++WENuTnHdnajS4OokyAshvhRCZAkh9p+0zE8IsVwIcbTip+qMq3DoQCp33fg5b7y0mH17jhF3NJN3X1/K/bfN4dDBVI6Pxree1AxRHQ+vE7M4mcqs/N9zk9m1IxEvb1e0Og0JcVnkZp8YNOTmbiQoxLtezul8DB/diRGjO/HH4l0kH8vjvdf/IOVYHhaLrfJ3YPxX+trUlPzKvvFCwIxbhgBQXm6r3Ob4l6NWqyE0zIf7HhnL7h2JbN0Yy9rVhzkYk0ZkdEDlRNPX3zSEVm2CuPG2Yaxctp8fvlrPir/21ffpKxdQnaQaFkIMA0qAb6WUXSqWvQHkSSlfE0I8BfhKKZ88Uzkq1XDTd/RwOvfeMofO3SJ4+8Mbyc4u4okHvicjraDKHJqnYzTqKptrTubh6VLZBh0U7MWsT24iKLjxBPXTefm5X1mz8iBdu0eyb08yAEIIpJT07N2Co4fTKCk5MXHFJWM7s29vCpnphXTv1QJTmYUjh9Ir17duG0xYuC8ZGYV4e7vy4hvTWLMihqNHMmjfMZRDMWmMHte12qyMJcXlrPp7PyPHdK6XCaWV+lPvc7xKKdcCef9aPAX4puL1N8DldXEs5dylp+Wz4OetHEvMYcqYN3n/zT8r15nNVrKziqoksiorNWOznToxcl0KCPQkKMSb7j1boNVpMJdbueq6AQjBWQM8cEqAd3NzppUtKS7nzgdGc/+jY3n4yYkXRYAHePCJ8bRsE4THSUH1+Gdy+FA6JSVWXCpS5woBVpvk+Vevwi/Ag85dIygrNQPQtkMIV1zTj1Ztglj3zyGumT6A/82ajl6vxWZ3sODnrcQezeLeR8aeNu2uh6fzgawK8E1LnU0aIoSIBn4/6Uq+QErpU/FaAPnH3/9rvzuBOwGioqJ6JyUl/XsTpYbSUvL4aNYyhBBs2RjL/Y+N5cO3lwHwyTd3EBzqzY1TP6C42Mzg4e3x8nRl7T8HKS0x4+pm4NoZg/ht4Q4efnIi/Qe1qbd67twWz5MPzQXAYNRiMZ/bF4x/oCe52cWMHNOZ1ctjKpfrDVp+X/XURTVas7CgjKsmvIObuxFPTyN2u0Rv0JKeWsCkK3qxaf1RZtw6lOzMIqbfNAS9oer8oRlpBcz5ZCWXjOvOs4//RN8BrenQKYyp1w3AvWJAmNlsZfXyGAYOaYe3j1tDnapSjxp80hAppRRCVPttIqX8DPgMnM01F6I+TVFmegF2u4OwCD/27Ulm66Y4hozoQMs2QSz6ZRs6vQadTsPdN31eZb8Naw5XeW8qs/DVZ/8AkJSYVRnk7TYHG9cdpnuvFnh5102g+Ov3PQB4ejmbWvQGLVbL2QP90JHtGTu+B94+rhzcn0JUdCB7diZiNtsoLjI1ykD228IdHNyfymNPX1Yl7YK3jxu//vkoTz38I9lZhfy4+CG2bIjlf/9dyKBh7XnwiQlnLDckzIeZL06lIL+UFi0D6NYzimtvqDq/rdGoZ9xlPerjtJSLQH1eyR8GRkgp04UQocA/Usr2ZypDtcmfvyvGvoWpzMLSNU+TlJDFs0/8XOvudxqt4MHHJzBxSk/W/XOIF5+Zz4TJPXnkqYk1Kufj9/4mMT6bV9++rkqA+/qLf/ht/g58fN05lpRDYLAX2Zmnr3Of/q3YszMJq9VOrz7RvP7+jMp1WRmFFBWaaNM+pOYnegHcMeNTEuOz+WnJQ9X28JFS8twTP1NYUMZ7n91yUd2NKA2voa7klwA3Aa9V/Fxcj8dq1ux2B30HtMbD04W4oxm89sLiOulf7bBLPvtwBROn9KR7rxZcdnkvJkzpWeNydmyN51hiLmazFTfdiZwySxfvoqjIhM3uvHp3dzMS0CWcg/tTAdDrtVitdm67ZySjx3YlMMiLe27+gtgjGQwe3qHKMYJCvBtV75l/+9+s6RTkl562C6cQgrSUfPLzSpEOCSrIK3WkrnrX/AiMAAKATOA/wCJgHhAFJAHXSCn//XC2CnUlf35W/LWP119czCXju7Liz7rp/ubp5cITz03Gx8edjp3Da1VWWakZs9mGr587ebklaLUavH3cmP/jZn5buIO0lHwAvH1cefalqQQGe/HBW3/Su39rLr+qL3p988ilYrPZcTgkBoMao6jUTL1fyUsprzvNqtF1Uf7ZHCj4m38yP+CKqNcJde1U7Tb5lhQKLKm09Oh/Iap0QXXtHsmgYe2gDp9oBAR6MWBQ2yoP+fbtPsacT1bx+DOTiIiqfmBOddzcjbi5G7HbHcy48gPc3A1ERQfSq080n39/F6+/uBgpJQdj0njige/5+beHee3d608pJzE+m1/mbuKWu0YQEOhVJ+fZmKjEYEp9aBIjXm3SjFWasDssp91maepLLEmZydLUVyg0pxFT8CcOWb/dBS+U4FAfbr17FAaDFh9f50NHrVZUm1d96KjqH4voKrZt0TKAoGAvEuKy2Lv7WJVtdu1IJGZvCkcPZ5xXPTUawZARHeg7sA37dh9j25Z4DAYdz708ledfuYpb7hzO5Vf3Pe2D09Ur9vP30r1s3xJ/XsdXlOaozh681oXaNNc4pB2NqHolZLGX8VPi/Ri0bvTxm8aKjHcwO4pp6T6AhNLNXB75Gi3cq73Dueh89uEKfpm7mdHjuuJSMSryj8W7Ttnu469v55lH5+Lu7kJpmYW27YLx9nVn+dK9ADz5/GQ8vVz5Y9FOHp85qUpPGrvNQUJ8Fq3bBle5wj8fOdnFuHsYca3oA34uykrN7NqeSL9BbZpNE46inIsG70J5Ifw7wAOUO4rJtx4DK3joAxkaeBcrMt9CIunvfwNhLl2q/XK4GF1342DatAthyIgOGAw69u85Rk52Mfc8fCk/f7eRv//ci06rwcfXnXm/P1pl3/y8Ejw9Xfn7j934BXjSq09L+g9qe8oxtDoNbdrVTe+VgMCa55BxczcyeHjVOxFp3oIseR/h/RpCF1kndVOUpqTJXMlXx2wvYX7SY/gbWuBtCGNH/jzs0oKnNgg3nR9aYSDbfJTrWn5MUsk2WnsMIbZkLe28RuGuU6l2GjspLciS96D0c3C/D/Q9ofBxhM8shHHw2QtQlCaiWVzJV+fPtP+RY4kjxxJXZXmxPYtiexYCDQbhzt7839id/ysZ5Yc4XLSScnsxAwNvbphKK2clrUeQeTeBzAVNS0ALpR+Bth3IAqQ9C+wZoDnRrCTl8ec1drDnInQRDVZ/RbmQmnSQt0szIDhdtxOJA7MsJib/T4KM7WjnOYIM0yEi3XpSYs0BBEatG3qNyuXRmEjzWmeAB3CcyDeP/QiIICiaicSZ40YKbzBMBvN3zm00HcFxEOn7FRrjYKSUSNM8hL4jQt/tAp+JotS/Jt1c45B2HNLGyvR3OVS8vHK5Bh0OTs1keFyYSxfSyvdz/AtiRNCDbMuby6TwFwh2PeOgXaUeSEcRsvBJcJmKxvUSHA4zZI84EejPizsYJ4MjD6zLAH80IZuqbOEo/ghs+xA+HyBEw080oiin02ybazRCi0ZoOVy8qnKZq/DFJPPPuJ8zwMPxO4BN2V9jlkUcLFxOkEu7WvcsUWrIFg/mlYAWqW8NuVeBPD6xhREwn0ehpWD+8aT3uTgsB9EYOp5YZP4LbIdBloCaDkG5SDWJfvJnMy7saYzCOXjGJPPx0AbVaH+zdKYI2FOwiFJbLuuyPmVZ2v9oTHdBTZkw9ED4/YLw/h9IqzPo4lOx1gJBMeB2z0l7hHBef9p51+LI6IsjewqO8rUIv+8RAatA+CAtu5COkrOXoSiNTJNurjlOSgefHb2GckdBrcrR4YINMwbhgVWWcG+7P9Bpzr2ft1I3pLQBWmTZV6Brg8Y4DABH4YtgWgiU1sFRNGhCDjmPZ96CzL8BXCah8Xm7DspWlLpV75OGNHaZ5UcqArxggP9N512OjXJAEuzSlskRr7I3fzF2efq2faV+CKFDCIHG/dbKAA+g8X4eEbAYODnlwXk2rWla4ih4AkfOdKQ1BoyjwGVyreqtKA2hmVzJS9ZmzibQpR2dfMYgpYOtOd+zOffbWpSqBez46CO4PPJ/eBtC66q6Si05Sj4F02Kwx4IIBpkJ2i5gj+HcEvy4AqaT3uvRhMScbmNFaXDN/kpeCEGoW2f25C+gyJqJ1VHO9tx5tSzVmfemwJrCkpTnsDrO5+GfUh80HnchfN4GwyDw+RT8F6IJXIDw/Qbc7q1mj5P6H2jbg7Zi5Ky2q/On67U4cq9BWo/We90Vpa416d41J0st20uW+ShF1gxcXbwQFbfxOuGCDhfKZcF5l51nSWRbzg8MCrq1jmqr1JbQd0T4fV11mXEAGPqDoSNSEw6yCCGMzr70uRUzMOmiQdcaHANA3w+K7gfLdrAfBNt+0J+a7kFpHF6LWcThonQ+638Hek2zCW1n1Wx+E8OC76WX31V4G8JwSDtWTAi0BBnak2beU+vyt+XNxSBc6RN4uqzLSmMghACXsVVa6gXg8F8E0g55U509MoUPmL4FTTS4jEe4vA46NUaisZFSsiJjH209QzhQmMrR4nTMDpsK8idpNr8JrdDhbXDOUq8RWq6Oeo81WbNJKz8e4E8/MvZcbcidg0M46Bdwai50pXHT6J3zEDiM48CeDC5jwFGI8HxKjYtoBPYVONNed/GOrPJ5xJVkMnPPT3TxjuSLAXdhsdvw0Lk0VDUbpWYT5P8tzK0zffymEVu8jki3nqSU7SW1bA8l9uxalZtatpdFx/aTUX6Im1t/i4u25tkWlYaj8X2/oaugAHbp4IvYlXTzacHAwHbcsflTHBUXYe/2volBgc67qmj3QO5sM5pefi0xaHQY1BX8KZr1b6St1zDaeg3DIe2szHwHnXDh8sjX2J7zEymm3TifSztqVKaL1osjxavRCQN2aSWtLIZQ144I0SyecStKnUgry2dO3GrcNAZs0oEGURnkH97xDbP73kZyWS4BRk9ub3NuE9D9nb6XlRn7+E/Xq6rMNdzUqciDs/lmUvhLXBbxAi3c+zA58mV6+lxFTQO8BgOxxesJMLZmRss5rMn8iF+OPcSuvAXYpVX1qVeUamSXFzH7yDJyyk9MPq8RgghXP8ocFizSdkqT2aqMGP4Xs4gX9s0n3XTmNCXHLUnZzurMGNLOcfumollfyZ+slefAytd6jQsDA29iV8H8ymU6XNCgx0JxdbsDVCQ9c+Cnj+Jg4QoKzekAuGn9mBN7LXqNK7e0/r7ezkFRLkZ/pu3m6/g1uGj0zGg1jPu2fEG2uZi08hPB2PqvqTrnJ2/GKHQUW03cuPEjlo9+9qzHeaX7taSa8mjjWTcT31wsVJA/DZ3GBU9dMFZHORIHbTyGUmYvIKF04xn2cl75HylZDSVg1HgwPfozfPTh7CtcglaoFAiKclyOuZjHd3yH2WEF4Ku4f1iUvI0Mc+E57W+VNq6OGoin/txSgXsb3PA2VD9/cFOmgvxpCCG4tc0Ple+/iptBkTUDd20ApfYcAAzClUi3PqSV7sVCGVphxCJPJLHy0AUyL+kBPPVB3Njqqwt+DorSmG3NieVAUUrle7O0nTXA64SWDp5h7C9KxgEMDmzPwMB29VzTi5sK8udoSNBdbMyaw5jQJ/A1RKATLpgdxXwdfyN2nLMO2aW1cnsNeqZGvc38Y49QaEkjpWwPEW7dG6r6itKgHNKBQ0p0Gi126UBKSaiLT427NtiknfHhPZga1Z+v4v8hxNWnnmrcdKggf47aeg6lrefQKsvMjmIEglBjF7ItsdhkeeU6D10A8489Qi+/q1mR8RbldmdbfnzxJhJKtjAi5H60Qv36lebh9s2fEl+cyW8jn2T6+vfJPMcmmZO5afRMjuzLmwd/46H245k/7NGz76SoIF8bHvoA7mv/B+CcNHxD9hckFG+hxJ5NuaMYAy508r6Udl4j0GtciCn4i1UZ7+LARrR7X1p7qcmmlaZte24c92+bg7/Ok3KHldErXzrvssocVgwaHTe1HM6loequ+FypIF9HjFoPRoU8DCGQXR6Hw+Eg1xIPCPQa5wi8zTlf48BGqEsnWnj0bdD6KkpdK7GW89bB35gU3pve/q0A+CFhHQ4g23b6Xmlno0ODEGCVDkx2C090Uimfa0IF+XoQ6NKaX5IeIc20D3+XlgS7OB8MXRH5OuX2YsLcujRwDRWl7h0sSmVp2i4sDltlkN+aE1vrcnUaLePDerAwZRsdvcJrXV5zo4J8PRkSdAfJpbsJNLauXOZnbNGANVIa2uLkbfyetpO3et7QJLvy9fZtyRs9rsfX4M7hojT+t38R1hoOKKxOucNKZnkh68a8gFGrJlSvKRXk60moaydCXTs1dDVqRUpJSbkFT9fmMwS8Pm3IPsye/CSyzUVNLsgXmssYu/oVDBod5Q7r2Xc4Cx1auvpEkGsp4b/drqaNZ4gK8Oep3oO8EGIc8B7OqZS+kFK+Vt/HVKp3OCWLdXvjmXFJH1wMVT/6u9+dT15RGVcO7cb4fh1wM+r5aPEGvl2xg2uGd+OJa0ai1ZyaBWPH0RSQ0LtdxIU6jUat3G7hm/g1jA7pSqnNzA8J67m19QhmHfqD66KH8ED78US6+5+1nCKrib35SQwKbIfmIsh7FF+WhQNJucOKFg32Wl7Bd/aJ4NMBd9VR7Zq3eg3yQggt8BEwBkgBtgkhlkgpD9TncZVT5ZeYuOF/P2JzOCgoNeHt5sqSTTF8+cQ0XA16MvOLSc4u5I15q1m9J5bcwlLiM/IAmLdmLyXl5YT6+PDn9kPcOXEAb/y8mlB/L+LSctFqBLeP78+KnUeZ89g1eLk331SvO/ISmBO3muSyXLz0bvyTFUOOpYj9BckUWU38OOQhAD47ugKNENzWehTxJZm0cA+kyGoizZRPF59IPjj8J4tTtvNWrxsYFtSxgc/q7Hr6RmMUOszSVusAD9DdRzVt1pX6vpLvB8RKKeMBhBA/AVMAFeQvoH0J6Xy7fAc2hwMXg465q3bjYtBRbrFx7cvfkV/i7N/vbtRTaray7XDyKWUs3XKk8vV/v/0bgLi0XFwMOgTw6R+bAcgvNbF2Xzzfr9iBt4crnzw0tdnkY7fa7XwyZwedvbtw//BxeOldsditLEndAcDzXacCzmawr+PXoBWCVh7BPLV7Lre2GsnmnCMcKEpl3pCHmRLRF6vDTreLJNjtzT/m/JzPc0oGd42BUoel8v1vaTu4v8O4Oqpd81bfQT4cODlipAD9T95ACHEncCdAVFRUPVenecjIK+b2d+YxfVRPpo/qxUeLN7D1cDL3XDaQfh2i+G7FDuLTckjMKqgM8ACl5pq3pZZbqmbW/Pbv7SzcsP9EmeVm7v9gEa5GPR8/NPX8T+oikJCex+GULFrbAypHYq7KdE4Afn2LIXT0djZpCSH4fvD9CAQaoaGzdyR26eBgURoA/kZPoj2C6OITWaX8pak7MdmtTI2q8l+oQa3M2MeBwhSMGv15t8V39g6nvVc4C5K3clVkf1q4BxJgVPMw1JUGf/AqpfwM+AygT58+tZuaSQFgX0IaablF/PzPHqaP6sXT141mX0I6E/p1RKMR5JeU8egnv9XLsU8O8IHe7uyLz+BYdgEeLk03OZuUkl1xqdz+9i94uRl57fYJlesCjJ546V15sMP4Kvu08giufP1mz+t56+BvSCSuGgP3b51DlrkIX4M7s/rcTLndykPbvyK7vAirtHN5ZF+0jaCd3uaw89aB38m1FPNi12tqtK8OgQ1JiNGHaVGDGBjYnn7+bRgW1BGdRltPNW6e6jvIpwInX45EVCxT6lGPNuG0CPZl2nDnqMAWwb60CPatXB+XlntB6pFdWMpTc5by7PWXkJZbSN/73uXSPu155ZbxZ9+5AR1NzeG+9xfw4BVDuGxA1R5Sn/6+iZyiMp65bhSl5RYe+/Q3DidnMbGfs928qMxMWm4xbi4G3IwGfh7yMEDVKeuKM5l9ZBndfFpQaCvjl8RNmCvmGjA5LBwpycAuHeRaSsgqL8QuHaSZ8hkX2oPJEb3RCg0ltnLctcYL3hRmlw625sTSwzea5el7ybU4Bzk9v2/eOZehQTC95TDmJqwjw1zAZ3ErGRfek1EhavxIfajvIL8NaCuEaIkzuF8LTK/nYzZ7gd4eLPzvzaddX1xmBmBQ5yg2xhyr17pMH9WDJ7/4A4NOi90hL9gXTE1YrDY0Gg06rfPquKisnJyiUjLyirFYbfyydi9Du7YkKsiXeWv2kF9iYmzvdtz/4UIsNjsueh1j+7Ynu6iUqUO74W7UM/apz2kbHsDPz95wyvGe2T2XhNJsNuUcxfavPOl6oWVIYAf+yYpBAt/GrcHX6MFPQx6ipXsQQgjWZR7ksV3fMTWyP092nnIhfkWV/k7fw3/2/sINLYdxRURftAjsNWyIdyBp7xXKU50v59PYFczsfGU91VaBeg7yUkqbEOJ+YBnOLpRfSilj6vOYytl5ujl7v8QkZtaqnPunDObDxRuqLHvj9ol89fc24tJysdjsjOvbkRbBfrga9AT7edI69OzdBy+U0nILuYWlXP/aXEJ8PenZJpzIIG9uuKQP62bdh1Yj+PKvrXy2dAv7E9P5320TCfHzIL/ExH0fLMBqd/YisTscrN+fwKFjWXz2+yYOpzjnCTboNFz27BzeuXsy7SICAYgpSCG+OBsvrQtXRvfjm4S1lVPbuWj0vNR9GilleazOikEAa7IPArAoZRs3txzOve3HcqjIeTOcUJKFlJIfEtaRasrjkY6X1escpxa7lQxTAcMCOxJo9CDczQ8XrYFSu7nKdiMCO/JPRb01wPNdr6Z/QFsWJ29jZ34C10QNYHBQB7RCw+TIPvVW34aSWpZHmd3Mnrwk9BotUyL7Um63sDsviQ7eYfgY3NmeG0dOeTFjw5x327+n7qS9VxjtvELrvD713iYvpVwKLK3v4yjnbk+cM0gUlprPsmX1fDyM+Ht5MGlgJ/bEpZGRX0yYnxdr9sWz7UgyPzx9PVJKyq02XA36Kk1FdSExI4/wQG/02pq13abmFnLbmz8T5OvJRw9eyT3vzufAsSy0wllmXLrzLmNffDord8ciKy5QjXotRaXlTJr5BfmlzgfVxwM8gEGvY/66vRSUlJOScyK7or+XOzFJWWQXllYG+czcYuw7PSkOtuLa2jnIzIGkhas/SaZcntj1PT8PeZgDhSksz9gLOHO32HA22ezMS2BHXgIAnjpXtuTG8v6RvwC4IrIf7bzCavrrPGcv71/IX+m78dAaWZt9kBxzCQMC2pJQkkV8aZazrkLD9JZDybYUY7JbmDvoQTQV4ytubTOSWxlZb/W7UArMpbx/5C+258RSaDMR5uJLqa2c7n7RuGkMLEndXnl3I4Ahge25Zt27FNvLaesRwg9DHuTB7V9hkw6yzUUMDGzHS/t/pbN3BF8NvLfO69vgD16VC2v9/gTWxyTWqoyWwf7MeXwaAO/ddzkA+cVlzFqwjimDOgPONmhXQ92PUNx8IIl7P1jAtSN68H/TqgaMolIT363YwSW92pGeV4SXuwvZBaV0bhHMh4vW8/fOowBkFZZyzUvfkpnvnODFLuHkvn8rdlXNt2K22tl08ESzlruLntLyEz1JSsst/Juvpyt2u4PrR/XEw8XA7thU8kvKKC6zQ6oL4fYQhvh14BOWA+Bj9CDHUkKp3czuvATGhnVnUEBbXtj/KzYcuGj0uGkN3L31c3r7OvPC6DUaWrgF4GfwoNRmJsTF57x/r+dibGh3NuUcoZ9fa9ZlHyLA4MW3CWsJMXpXbmOTDj6LXVkvwaoh2Rx2rl3/HkJCkimnyrq4UucdcUb6nlP2k8D4f06M/zxakkG/v55hYmhPNuUcoa1XKK08gnikw8RTelPVFSFl4+nQ0qdPH7l9+/aGrkaTVFZuYcZrc4kM8mHzgaQqV6I1MaJba6YM7szwbq3PvnEdKyotZ9wzn6PXannxprEM736iDn9uO8h/vl6GzXHh/55dDTpMFV1JdQJs/6rCyV8K1w7vzoIN+7HYnG3xYwa1YpXLNjr6hBHnSMcq7bhrDZTaLXw54G4WJW/n7/Q9XBs9mAEBbZibuIEnOk7i3UNL8TG4sS03nuSyHNx0RpYM/79zngqvJkqs5Ty9ey5jQ7uzIHkrx0pzkIAQzpG5xwkg2MWH13pOp5N30xkBnVSSzeM7vyOpLOfsG9dAP//WfNj3tjopSwixQ0pZbduXupJvJiw2Oyk5hQT5elT2yHhgymC83F1Yvz+BEd1bs+NoCqt3xeLmYmBsn3Z8v3IXXaNDQMDlAzuz/Wgqz864pF6u0KuTnF3An1sPMX1UT8xWG9uOpOBm1NO/QwsGd2lJicnMZTPnUGQyo9OIBgnwQGWAB/DycCWv2IQQoNVosNkdlJZb0QhwSPh1/T6MBh0Wmx03Fz3eGg/sq/w5NDALguy4a42U2s1oEPyWsoPRIV14uOMEPHTO5yi9/FrhkA7WZh3ELh1MCOtJkIs37/e5ud66HmaWF7AlNxat0JBRXkCRzRnYvXXO/DvdvKNo6RHEzK5N8wHqmqyDtQ7wBqHF8q+H7HsL6rfTw3EqyDcTPh6urH3nPvQ6DVsOHcPhkAzs1IJBD36Ah5uRWfdMYcqgLnwXvoNZv67Fz9Od7R89jEZzooveFUO7XZC6xiRm8O6CdQR4u7Ns+2H8vdyYv24vh5Oz+eyRq4gO9mXgA+/h4+FKkcn5XOFCB3i9VlPlbsjNoOPeKYN565c1eLjoGdS5JSt3HUWn1fDmnZcxrGsrPlqykaVbDpKRX8y4Pu158eZxjHz8YwDuChlHv76htPIIZk3WAV7c9yuHi9JYmLKNKyP781TnKTy/52cOFKYwJrQbVmknxMWb57tdVaVeW3NiWZGxj0c7TsRFWzdjE1p7hvDTkIcIdvHBILQMXv48AF8OvAe9Rtvkp+C7psVA/PTu7MlPZHnGXrr4RLE1L67abavrbdTNO4owN1/+St9DgMGTeUMfZldeIn5GjwtRfdVc05xJKXn+m2V4uhor27cLSkws2RTDpAGd8PVsmEyJ3/y9nfcWruPhK4eydm88O2NPDK3wcjOiFaLyAWhDaBnsS0JmPgAtAn1Iyi7A38uN5a/fRWJGHu6uBswWG8t3HmVUzza0CDrx4PlQchaPfbKEBy4fwri+HVi0YT+l5RauH92ryjHMdiv55hKuWf8u5Q4rD7cfz7uH/6xcPzm8N7e1GUWo64myf07cyK/JW0gszWbOgLvp6nP6EeRmuxWzw4ZXDZt3Pj26nEKziT4BrZptv3aHdFBoMVFmN7MyfR/LMvYQ7urHP1kHGBvSHYu0EeHqx5qsg3TwCuWB9uMJdvWh3G6psy/efztTc40K8kq9O5KSzaHkLCYN6HTK4B2T2UpSVj56rYYHPlzErWP78Mu6fVhtdsL8PdkVm1alOaShHW92OU4IkBLunTSQjQeSeO++y/F0NfLw7MWs3RfPpw9fRd/25/5ALS4th+mvzqV9ZADDerXiM/sSAB5uP4EvDq6mRGNCL7TMGXgPHU7qSSOlZOCyZ9EKDW/1uoEBAW3POFDq5k2zOVSYyvLRz55zO75dOhi47FncdUZWX/Kfcz6n5qDIamJLzlFGBHdCX4/dWE9HtckrDeqlH1YQk5hBx6hg2oYHsCculYPJWQgEHyxaT5nZyrAuLcnIL+adBesq8+EkVlwtNybHA7wAQv09uXpYD/w8Xfl7xxF2x6WRV1SGp6uRuycNpHN0MN1a1azfs90hsdrt7E/MJC49j19efgRXnYFflx+gYKkHIZcbKKCYWzfOZtWY5yuvDIUQfDHgbgTQ+Rx6aXT2jkCDqFGOdq3Q8P2gB9CrtAOn8NK7Mib0wjRn1pS6klfq3d74dPYlpHHtyJ7sS0jn1recQ+CDfTzILChBp9FgczhwM+gos9hwdzFU2y2xsZjYvyMv3Hgph5KzaBUagFGvpcxspbC0nDB/r1qX/+6CtazaFcsT14yg2GQmp6CUED8vPli0jhmX9OaQTyyp5jxm973tjA9by+1WtufG0T+gTYNcXSoXzpmu5Bs+y5HS5HVrFYq/lzuTnv0Sq9XO8G6tuWJwF56/4RIAbA7nA8yyiiv4xhbgjboT/0283Vy4fnQvNh86xozXfuTtX/7hgY8WcelTn+HhYuCqF7/h5jd/qtXxDDotKTmFFJWZeXv+Gt5duI6h3VoydVg3Xv95Ne3zW/NZ/zvP2pvm58SNPLrzWxYlb6uy/IeEddyycTarM/afZk+lKVFBXqkX+SUmhj7yEc9+9Scms5X/fLOMjPxi7nl/AQ6HA51Ow7Gsgoau5jkx25xfQm4GPT/OnEGHyCDahgXQr0MUI3u0QTokXm5GNEJQVGqmpOzESGKr3X5KedmFJZitzi+0dfviGfn4x1Vy+N82vj9fPHo14/t24MP7r+CTh6biatAT6O1Bh8hABnVueUp5177yPYtOygBqlw7WZR0kwtWPQYHtq2y/PusQMUUpPLl7LnHFtUttoTR+6h5OqRNSSlKyCwgP8CE2LYfEjDyO5wW47e2fK7sbOqRk3f6EhqxqjUzo14H49DzuumwgAztGoddpWbIphnYRgXzy0FR+XbeXTQeTePzq4RSVmcgrKUNKyQMfLmTLwaQqXTtH92jD6j1xOKSkU1QQnaKDKSt3NvMcTs4iKtgHrRC4uxjp1dY5mCjc3xuvKGcf+W+Xb+do6qn9tXMKSzmSks3O2FQuH+zs8WJ12IgpSiHCzY9wN78q27/T+yZWZuzjaHEGLdwDKLKa+PXYZgKN3vT2b1mlx45y8VNt8sp5+XrZNtbHJPDKLeMJ9vXkjlm/sONICtNH9eTXtXsxV4zobBHkQ1LFFbufpwt5xQ3X9fF09BqBj6cb2YWleLgYKKloLrp/yiBuHdefzQeTeObLpbxyywRC/DyZ+sI3tAsP4NXbJmC22nho9mJyC0vPd1IkACICvCvz3mg1gp5twrmkVzte+2kVb901ifziMtbtS+CSXm2Z2L/jKT1nMvKK8fd2q5LPp8BSil6jw11n5OPfNnIkJYc377wMu8PB2r3xDO4cjZuLgSd3/cDqislNWnsE09YzlDvajCLSPaAWZ6RcSKp3jVLn5q/bS1puETe+PhedVkt6njOv+KpdRysDPFAZ4IFGGeABrA5JdmEpbcID6Nk6lF/W7qNTVBC3jnPOwFRYWk5BSTlvzltNmL8nbkY9R1JzuOrFb08ZFHW+Tk5sZndIth9JQa8RBPl4EODlztu/rCE9r+iU7pj5JSZiEjMY3Dn6lMDvY3CvfL1i51ESMvIwWazMXrKBn//Zw72TBnH7hP4klVbcHUgoMpv4q2Q3y9J3s+HSlyi2mZgTu4qpUQNo6RFU6/NULjzVJq/UiMVqI7ugBFtFIM8uLKsM8AAZFUm/GqtWoX5EVPSAGdenPdNH9WBUjzaE+noSm5rD4o3O6YcHdIqu3Gdsn/Z4uhpJzMxn+5FUyk6aJrEuAvzpbDqUzH9vGMNPq3eSnlcEwNvz17A7Lq1ym9d+XMWDHy1iazXz8p7sy8en8ccrt+HpauTPrYcBGN7Nmejsk353MNK/C9pNgaSvcm5/PGfb0oQ9zDu2mec2zmdJsrrLvhip5hrlFGXlFh6avZgR3Vtz/ehe5BWV4evpyoOzF7EnNo2ScgsaAZGBvmTkF1c+RDw+MKixOH5de7xKVwzuzNHUXPYnZrD8tTvx9z5xpXsgKZNb3/oZi81Oi2Bffpo5A6P+xI3uo58swWZ3sCEmocHP0ajX0qlFMHdfNggh4PfNB3ns6uF4uhrPaf9NB5IoKDExrm979idmUFZu4bWfV5N0fFyC3vkF3q9VS7YeTsKtlYPyqAI03g5WjH7unEfJppXlY5V2Wqhmn3qnRrwqNZKaU8ik576kb/tIrhrajSe/+IOR3Vqzdl9cRVrexk2rEdgrHniG+nmSnlfM7AevZEDHFpgsVsrKLfh7uVe7b1ZBMbOXbMLXw4WHrhxWZV16XhETZ86p9/qfiQZwAHqdBqvNwcgebRjSJZorBnetUTk/rNzBrF/X4ajB/3/fEB2FmXa+e/I6OrYIPuv2l6x8iRJrOesvfVHN21rPVJu8UiPhAd78/vKtaIWGnXGphPp5kZZXVCXA67QCWyOJ+N6uegpNziaUDpFBzH3menYcTaGgxESvNuHodNrKq1xXg/6MWTT9PN35Y8sBPN2cQV5Kya7YVDpEBlHWCPrvH28ceua6S5i3Zg+rd8eybl88yVkFPHjF0HMuRwiBVquhW4tgDDrtWZt7APIznHdsb/3yD6/fMREhBDFJGXSKCiHA+9QvzaujBlJiLVcBvoGpIK+corTcwse/beJgUibxGXloNYJQP88q2zRUgHfVa3n+hkt5/ptl2OwOJDC8RzsKS8s5dCyTLx67GoDebc8vn7lOq2HRC7dUzve6MSaRBz5axBWDuzD1AmXhPBu9Vkt2QQkHj2Wi12mx2uzsOJpSozKmj+rFuD4dGPPUp/RtH0m4vxepuUXntO+uuDQuferzyve920bw+aNXn7LdXW0vqVGdlPqhgnwzlpZbSIivFxqN4Jkvl1JQYmJE99bEp+fyx5aDRAb6AM7eHjFJGQ1b2QozZ4xhbN8ODOgUzardR1m0YT/3ThpIkK/n2Xc+R+EBJ2Y66hAVxPBurRnfrwMdo4J4/faJ5BaVMH/dfuLTL+yk5FoBo3u25XBKNrN/28j9UwbRKjSA7q1CcTXWPLuh0aCjZYgfRr2e6aN78ea8f86zZpLEjDyiQ/xOXSMlizfFEBHgTZ929TPzkXJmqk2+mVq9O5bHPv0NrUbwwk1jefG75UhApxGYLDbeuOMy/u/z3zHqtJhtdrRCYK/HvxWtcE7D52LQVSYomzKoMzabHTejji2HU+jdNoL/mzayygPRC81ksTL4oQ/x83DlqetG8dGiDSRlF1zQOhj1WsxW+ykPj2vCarOj1WhYvTuWJz7/nWHdWrF2b3yt6rVu1n24uzi/bNbti+d/P67i2esv4f4PFxLq78UfL9fNLEjKqVSbvILDIZn28nd4uhn58vFpRAX5EOzrQWZ+Cd+v2InFZsfX0xV/DzeeuX404f7euLvo0et0mEtMpwT4liG+JGScX5ZILzcjxWVmXAxaTBY7rkYdJrONa4Z3Y9qInhSbytkYk8QtY/s2aECvjoteR6tQf/KLyxjcpSUtgn154IOF5BSV4uPpRl5RWb3XwWy10z4iEFejnsz8YoLPcBcjpWTRhv20iwikc3QIAMUmM5c++SndW4dx1dBuTOjXobKHVG08+vFiooJ8Meq1hPl7k5FfjMVm56Wbx9VJ4jbl/Kh+8s1IUVk5JRUzKbUOC+DPV+9g7Tv3cig5C3DOVXosu4Dvlu/gxe/+prTcSkHJiTk8x/RqW/k68RwDfLCvO7PunlSZ5KtliC9FZWauHdmDDe89SM/WYZjMNt6+axJPThtFyxA/urUM4+7LBqLXaolPz6Ux3W0KIfD3dKO03ILNZqdteCALX7gFh4Tyiv7z/dtH8unDV+Hldm5dGoO8zzw5i4tBS9/2kYT4euDlZuTeyYOYdc8U7v9wIeOf+YLsgtOPTUjKzOelH1bw0g8rKpfpNBoCvD2wOyT/9/kfHEjKZOW/Ji8/H9uOpPDr+n3MXb2bwtJyVr15NyO6t2Zi/470bBMOOOcP2BWb2qg+06ZONdc0I46KboXHp/TbfDCJvGLnlaePhyt92kbwzvy1zFu7p/IqP6yiZ83Nl/bm9sv6c8OrP55yBd81Oph9iScSXU0e2IlSk5kJ/Tsysofzi2FvfBo3v/kzfdpFEOTjwfRRvejUIpiYxAw2xCRyy9i+6HVVe2H8/M9uXv95Nc/PGFOZk6UxsDsc2O0ODCfdZRxKzsKo11FabqFTVHDl7/ifvXE8+vGSWvVG+uHp6XSMOtFlcV9COiF+nizeGMPmg0l8cP8Vp+0xJKVk/to9zFu7F7PZioebkSeuGcnGmAR+WbuXopOSqR2nEc6/h7xiUzUlnpvO0cGM79uR3XGpvHLLePQ6LUmZ+Xzy+0aWbT/Ce/dOYWjXVuddvlKVaq5RAKrM1wrw7Fd/kVdcxrp37iXdlo/QwsHkTMCB+4gS2rkIkhc4vwQWHNzBj46VmDN8QOsAu0CndXZNfO6mMby+7Xd2LMtD49CyZNMBtnzwYJWgHRHgQ5foECYO6MiUgScCdufokMpmhH/rGBVMh8gg2kUE1vnvoja0Gg1aTdWb4A6R1Q/5jwzwRlC73khv/bKGOY9dA8CxrAJueuMnukSH8O2T13H7+P5n3FcIwdSh3Zm9ZCOFZWbIhXd/Xcu+xNM/SHdIZw+eIG83sgrPr/kpJjETs9VObGoOT1wzAn9Pd6568RsMOh3Duras8qWl1C8V5JuxV28dz6HsdKZveZ/08nymRw/moweu5J5tn3O4LA3KYNiIXpQdE3j0tJBs05IVpKUgKJcxUV147pLLcHc1sCn7CHv0R+k8JZIrXIZgczhOuSr383Lj2yevq1H9urUKZe4z19flKV9wy7YfRgJ6rcB6noFee9KXc4ivB5cN6MSADqefv/XfbHY7d0wcwLp98Ww5lMy+xIxTcu74eLjy5WPX8NDsRSRnF5J5hiagc+HpauSjB66guMxMoLdzwurpo3riYtBzz6RBtSpbqRkV5Juxfh2iSHRNJf1gPiEu3gwIaIeHqxF3o5EAmyfDgjpyQ6thVVLVbusWx+exK3mg6wjcXZ09Kfr6t+aZzlfQz78NYW4qTe3Jbrq0Lx2jggnx9eSG13+s0QjT47YfSSEmMZ0dR9MY0b0VL940tkb7bzqQxFu/rKFrxR2TRggm9e/Ego3O/POjerTm2evHkFdcRnJ24ZmKOmfFJjNjn/qcjlFBfP3Eteh1Wh6ZOrxOylZqRrXJNxOHi9LwMbgT7HKiD/iqjP08tXsu17cYwgMdxqER6jl8fTmWVcDl//nqvPd3reiJZNBp2PDeA2g1Gqx2O4eTs6s8A6iOyWLlx1W7GNWjDZ8v3cI/e+P47cVbeP6bZcSn55KRX8L/XTOCa0f2ZGNMItuOJBPq68Ff24/w8s3jeOSTJdXmsT9XT00bybBurdHrNKdNJ6HUjpr+r5nLt5Rww8YPuW9r1bwrke7+tHQPws/owfQN73O4KO00JSjna/XuWAY//CFpOQW0DvM/73JMFmfSMIvNwZOf/0F+iYmv/trGja//yNJtB6vd5+CxTC57dg5/bTvEreP6ER3ixyu3jmf9rPs4mJxNzzbhfPTAVCYN6MSwioyUgzpH89AVQ7l6eA/umTQIL3cX3r1nSpVyxem/T6q1+VASlz37BdNf/aHmJ67UmgryzYCX3o0pEX24NrpqW2hbz1B+HvowGqEhviSLxJLsBqph02WyWDGZrcz+bRNxabUfIetu1LNqdyx3zfqFzi1C6Ns+km4tQ0/Zbv3+BK7/31zScoucs3SdRAjBO/PX8NGSjbgYdbxw01jC/L2rbLMhJpG73p3PO/PXEurvxddPTENTEd1revP/z554Qvy8cHPR89QXf/D+wnU1K0CplVo11wghrgb+C3QE+kkpt5+07mngNsAOPCilXHa28lRzTcOQUpJmyifM1feUiSeU2rM7HDw0ezE7j6ZUjuatjQ6RgRxKzubLx6+hR+vwarc5kJTJo58s4f7Jg5g4oNMpn2tsag4pOYWM6N662v3zi8t49ceVXDuyJ4kZeXi5uVBiMrM7Lo2DxzIZ37cDsxdv4NQZbE8lBFVGTIf4evLHK7fX6JyVM6u3VMNCiI44E+N9Cjx+PMgLIToBPwL9gDBgBdBOSnnGvwkV5JWmbPHG/bzw3XJ0GlFl7tea8PFw4adnZpBXYjptt826ZLHaGPDgB7i7GFj15t2VvaZKyy0MfeSjGpV1vGfQ1cO6EejjHKW7Zm8cS7cc5LkZY/A4x3z4yqnqrU1eSnlQSnm4mlVTgJ+klGYpZQIQizPgK0qz1SU6hKggH2wOWaVbZE0UlJSTnld8QQI8gEHvbM4pLbfw6CdLKpfrtBpc9Ce6yQZ4nnnULjhn0friz60cyzrRg2fB+n0s33mUxMzzS5GhnF19tcmHAycnqE6pWHYKIcSdQojtQojt2dmqTVhpulqHBbDohVsY2qUlGiF45ZZxNS7jgcuH0Cn6wg4kGtG9Ne0jAul6Utu/Ua/jqmHd8fdyY+mrt/PjszNO2/Tj427k2hE9eOuuSTw5bSTdW4dVrnvxpnF89fg0upxmQJxSe2cN8kKIFUKI/dX8m3K2fc+FlPIzKWUfKWWfwMDGNbJRUepDi2BftBoNEYFVH3a6GqoftuLh4kxZoBVw86V90Gsv7CQcnq5Gfpw5gzsnDqiy/NGrhrP89bsI8fXE38ud/7tmJF1bnhqsu7cK5+5JA7HZHPTvEMVnf2yisNQ5qbu3u0uVoK/UvbMOhpJSnk/m/1Tg5OTRERXLFKXZe/Sq4Tx61XCKTWaig30pLDGRX1qOyWIjzN+LzPxi7A7J2N7tiQry4Zrh3TmSms3AkyYXb4xC/Dz5+olreXj2YtbtT6gcVTuhfwdGPPYxAK3D/IlLyyXM37tR5SNqyuprxOsSYK4Q4h2cD17bAlvr6VhKHcgzl5BRXkAn7/ObUUmpOU9XIwv+ezMlJjNHU3N49JMlXNKrLclZBazeE0e3VqFcN6onAAPPM2/8hSaE4NnrL+GRj5fQpWUI4QHehPh54e3ugtlqIy4tl9sn9Gdsn/YNXdVmo7a9a64APgACgQJgt5RybMW6mcCtgA14WEr559nKU71rGs7tmz9hb8Ex5g99lCj3AADiijP5795feKjDePr4n9reuj7rEP/d9wszu1zJyODO1ZZrlw4sdhuuuprPXNRcFZWWs/1oCsO6tqqchrAp2HQgic0HE7l/ypBTchsptVNvWSillAuBhadZ9wrwSm3KVy6cS0K64mNwq5L2IL4kk8PFafydvpc+/q0x260sSdnO76k7uSSkCx8ccQ59eHLXD1wa0o0yu4WdefF8N+h+Iiu+KB7b8S2bco5wVVR/Vmce4JXu19LTr2WDnOPFwsvdhVE92jR0NercwE4tGNipRUNXo9lRuWsUAMasfJliq4l72l5KN98o3jr4G5mmQkrtZuzSma0wwsWXlHJnV7crI/qxIKX6FjhPjQuhbj60cg/CISTrsw9TZrcA0Nk7gvjiTK6MHIBN2mnlGcTvKTt5vNMkOnpXP7CnOg7pYHtePJ29I3HXqf7VSvNWb4Oh6poK8hfWd/FrWJ6xj4/63MaX8av5K20PuZZiBge2Z0O2c/jDQP82bMo9MWuQACQQoPcgx3pu6Wj1aLDiOOM2PX1aEO0RTEZZPpvzjuKjdeXRTpPoH9gWH4M7PyduJKYgmbXZB3m2y5XoNDr+b9f3jAnpyrNdpqrmIKVZU0FeqVb/v55BAjOih/Bghwl8cuRvvoz/h1ZuwcSXZVYG9IbkoTHi7+pFUmnVMRT+Bg889S4kluYQ4erP6NAu3NeuZil4FaWpUFkolWqND+0BOB+wAowJ7Q5AfFkmM7tcSQ/fhm87L3GYTwnwALmWEjJNzpGTKaZcfkhYx6bsI+SbS0hSidYUpZKaNKQZGx7cmaXpuymwOqd4a+0ZzLSogazLPsTI4M5MiejD1WvfIans/HOJ1yeTw3rijYSHdnyNj96NAmsZi4Y9gVGro8xm5roN73NpaDfs0kF//zZMCO/VcJVWlAtMNdc0c4eL0gh388ND51Lt+tf3L+LXlK2MCOpEmd3M1ty4C1zD83ND9BC+S1xPgNGTHHMxLhod5Q4boUYfpkT25fqWQzBqq5/8WlEuNqpNXjlvDungWGkOLdydKScGLJuJQPBOrxt5Yf98bA47Focd88lX1Y1QmIsPaeUFle8f63AZ06LPPteozWHHgcSgUTe9SuNVb/3klaZPIzREe5zIePjtoPsRCAJdPDHZLAwN7MB/u1/N2syDzNzzE44Gf1RbvTK7hUfaT2DW4aUI4LPYlfyeupMUUy7XtRjMnW2d2TuSSrLxMrjia/BgwbEtfB67CrPDyt+jZqLTqAE8ysVHXckr580hHVXmhbU5bAz6+3kEgssj+jA1qj878uL59Mhy2nuFc7QoHa1GQ6irL718W7IoZRtuOiMFllL8DB5YpA1XjYF0c0Gd1lODc9KDoQEd0Gu1+Ord+fVfffzXjXmBMruZsatepZVHED8NeZhBy57DJu109Arny4H3oFVz4CqNlGquUS6YVRn70Wu0DA3qeN5lbM2J5dOjy9lXmIy3zpU2XqHsyIsH4OrI/gwK6kBMfjIbcw5zoCiVXr7R9PNvyyexy/HRu/F816v4InYVB4pSADAKHWZpQ4Pgq4H30sErjP0FybjpDOSUF2ORdoYGdcDmsPOfvfPo5B3B9S2Hsjc/CQl091WjNJXGTQV55aKUVJqDr8EdL70rz+3+iZjCFD4fcBf+Rs9TtnVIB4ml2bR0D6qc6i63vJgCaym55mLePbSU2JJMPuxzK/0C2lBiLUen0eCiVYOolIufCvKKAphsFlx1BiwOG6NWvEiwize/DnusoaulKLWmHrwqClSmPtAJDV19oghx8WnYCinKBaCCvNLsaISGj/vd3tDVUJQLQnUXUBRFacJUkFcURWnCVJBXFEVpwlSQVxRFacJUkFcURWnCVJBXFEVpwlSQVxRFacJUkFcURWnCVJBXFEVpwlSQVxRFacJUkFcURWnCVJBXFEVpwlSQVxRFacJUkFcURWnCVJBXFEVpwlSQVxRFacJqFeSFEG8KIQ4JIfYKIRYKIXxOWve0ECJWCHFYCDG21jVVFEVRaqy2V/LLgS5Sym7AEeBpACFEJ+BaoDMwDpgthNDW8liKoihKDdUqyEsp/5ZS2irebgYiKl5PAX6SUpqllAlALNCvNsdSFEVRaq4u2+RvBf6seB0OJJ+0LqVi2SmEEHcKIbYLIbZnZ2fXYXUURVGUs07kLYRYAYRUs2qmlHJxxTYzARvwQ00rIKX8DPgMoE+fPrKm+yuKoiind9YgL6W85EzrhRA3A5cBo6WUx4N0KhB50mYRFcsURVGUC6i2vWvGAf8HTJZSlp20aglwrRDCKIRoCbQFttbmWIqiKErNnfVK/iw+BIzAciEEwGYp5d1SyhghxDzgAM5mnPuklPZaHktRFEWpoVoFeSllmzOsewV4pTblK4qiKLWjRrwqiqI0YSrIK4qiNGEqyCuKojRhKsgriqI0YSrIK4qiNGEqyCtKPbNZbSTGJHNirOAJXz//M+NdriPpYEoD1ExpDlSQV5R69uXMH7mj66P88s5vp6zTaAUarYaKcSaKUudUkFeUetZzdFeERvD5E99htzvHBKbGpnNg02Fu/M81/FH6A1Edqs3fpyi1poK8otQRm9VGeZkZcAbxrX/uAqDv2B7c8vK19JvQE1NxOQBPj3uZhwY/S1FucYPVV2keapvWQFGaPSkl2/7azZynvyf5cBoePu6YTRbKiky06BSB1WKj+/BObF26i+XfruHyB8YzfeZUkg6k4Onn0dDVV5o4FeQV5RwVZBcSvyeJnqO7kpmUzYFNRxgwqRdrf9nC27fNBkBv1JGfWVi5T9IB5wPVtNgMJt41htkPf0XsrgSe+Oq+BjkHpflRQV5RzkFBdiH/ufwNDmw6wn3v38LHj3yNw35qbxmr2VbN3k5/fLocD193/MN867OqilKFCvKKchrlJjO/vvM7FrOFuS8vqFz+0UNfwXlOb1OSX4q7t1sd1VBRzk4FeUWpxpHtsbw6431Sj6SfuvI8Anz34Z3RG7UgNPSf2Lv2FVSUc6SCvNLsbf97D1EdwwmKDAAgLS6D+/o9XWflR7QPxTvIi2fmPoRWq62zchXlXKggrzRrh7Ye5elxL+Pp606noR3YsmRHnZYf3i4Uq9nG2l828dDHd+Dl51mn5SvK2aggrzRba+dv4q2KXjHF+aV1GuA1Wg0Ou4NXfnsaN283SgtKVYBXGoQK8kqzY7PZeGDAM8TuTKjzsqM6hjP86kFc9fgkclJyCW8bCoBvkHedH0tRzoUK8kqTd2DzYZZ+sZJlX68mIMyXnJT8ejmOVqfhs71vo9VqefX691j943pmb3+dtr1a1cvxFOVcqCCvNEl2m53SojKObIvj6fEnphqujwD/yOd3kZ9RwNWPT6l8sNp7TDfS4zMJiPCv8+MpSk2oIK80CYe3xVKUW0zfcT0BmHnZ/9jx9556O17rHi1o07MVer2OUdcNxcXNWGX92JtHMvbmkfV2fEU5VyrIK03Cc5NfIz+zkCVF33L/gGdIO1pN//Y64OJppLzYzFWPTuaSGcPq5RiKUpdUkFeahHtm3cwbN3/EZK8b6/U41zw+hb5je9CuT+t6PY6i1BUV5JWLWmlhKaVFJuY8Mxeb5fR5Y2pDq9Ogd9Hz31+foPeY7vVyDEWpLyrIKxeljMQsfnp9EX98urxej3Pd01dw/bNTMboaz76xojRCKsgrFx1LuYX57/xWrwFeZ9Qi0DBi2mAV4JWLmgryykXFbrNzhf8tWEyWOi97SdG3HDuYin+YLwHhquuj0jSo6f+URm/eW0u4qd0D5KTlYbVYsVnrqO1dwMQ7x/DcL4/yW+l3uHq40r5vGxXglSZFXckrjU5xfgnu3m6Yy8zMe/s3fnxlAXabnfv6PklBdhEOm6PWx/AP82XOgVm4e7nXQY0VpfGqVZAXQrwETAEcQBZws5QyTQghgPeACUBZxfKdta2s0vTF7krgnt7/x6R7LkWjESz+aFnlurz0glqVfdk9YygtNDF0an+GXjGgljVVlItDba/k35RSPgcghHgQeB64GxgPtK341x/4uOKnopxWbno+L017B41OQ0lRGat/WA+Aq4cLppLy8y73igcncO+7t9RVNRXlolKrNnkpZdFJb905MWfOFOBb6bQZ8BFChNbmWErTl3I4jbTYDBw2BzHrD1cu7z222zmXcXz+1JlzH6bfhF4AHDuUUrcVVZSLSK3b5IUQrwA3AoXA8WQd4UDySZulVCw7Zay5EOJO4E6AqKio2lZHuYh1H9GZj7a/jkaA3qjn3j5PYim3smP53jPu17pnS27879Vs+X0HM567GlcPFzx83Bl69QBWzV1P16EdL9AZKErjc9YgL4RYAYRUs2qmlHKxlHImMFMI8TRwP/CfmlRASvkZ8BlAnz59znN6ZKWpsJgsPDLsOboP74Sl3IqnvwfFuSUAXPnwRKR0sPC9P6vs8/gX99CmZ0sGTepbZblWq2XMDcMvWN0VpTE6a5CXUl5yjmX9ACzFGeRTgciT1kVULFOUM9LqtBhdDfiG+BIY4c+rfz7DV8/+xKEtR5nx3FV4+npw0wvXknIolayUXKK7RBHZLqyhq60ojZaQ8vwvnoUQbaWURytePwAMl1JeJYSYiPOqfgLOB67vSyn7na28Pn36yO3bt593fZTGTUpJSUEpnr4e1a4rKyrD3Vt1aVSUmhJC7JBS9qluXW0HQ70mhNgvhNgLXAo8VLF8KRAPxAKfA/fW8jjKRcpitnJkRxxSSr5/aT5X+t/CrlX7cDgclJeZK7f76bWFXO57MztX7mvA2ipK01OrB69SyqmnWS6B+2pTttI0fPXsj8x/+zf+u+AJwtuGEBjpj0+QN/+94k22LN3J3GOf4B/qS0irYALC/fAJ9GroKitKk6JGvCr1qv+EXhzdEU/rHtGERAcx6rqhAIS2CiYkOhCjqwGAkdMGM3La4IasqqI0SbVqk69rqk1eURSl5uqzTV5RFEVpxFSQVxRFacJUkFcURWnCVJBXFEVpwlSQVxRFacJUkFcURWnCVJBXFEVpwlSQVxRFacIa1WAoIUQ2kHSBDxsA5FzgY9Y3dU4XB3VOF4eL4ZxaSCkDq1vRqIJ8QxBCbD/dSLGLlTqni4M6p4vDxX5OqrlGURSlCVNBXlEUpQlTQb5i6sEmRp3TxUGd08Xhoj6nZt8mryiK0pSpK3lFUZQmTAV5RVGUJqzZBnkhxNVCiBghhEMI0eek5dFCCJMQYnfFv08asp41cbpzqlj3tBAiVghxWAgxtqHqWBtCiP8KIVJP+mwmNHSdzpcQYlzFZxErhHiqoetTF4QQiUKIfRWfzUU5+48Q4kshRJYQYv9Jy/yEEMuFEEcrfvo2ZB1rqtkGeWA/cCWwtpp1cVLKHhX/7r7A9aqNas9JCNEJuBboDIwDZgshtBe+enVi1kmfzdKGrsz5qPjdfwSMBzoB11V8Rk3ByIrP5mLtV/41zv8jJ3sKWCmlbAusrHh/0Wi2QV5KeVBKebih61GXznBOU4CfpJRmKWUCEAv0u7C1U07SD4iVUsZLKS3ATzg/I6WBSSnXAnn/WjwF+Kbi9TfA5ReyTrXVbIP8WbQUQuwSQqwRQgxt6MrUgXAg+aT3KRXLLkb3CyH2VtxWX1S3zSdpSp/HySTwtxBihxDizoauTB0KllKmV7zOAIIbsjI1pWvoCtQnIcQKIKSaVTOllItPs1s6ECWlzBVC9AYWCSE6SymL6q2iNXCe53TRONP5AR8DL+EMJi8BbwO3XrjaKWcxREqZKoQIApYLIQ5VXBk3GVJKKYS4qPqdN+kgL6W85Dz2MQPmitc7hBBxQDugUTxIOp9zAlKByJPeR1Qsa3TO9fyEEJ8Dv9dzderLRfN51ISUMrXiZ5YQYiHOZqmmEOQzhRChUsp0IUQokNXQFaoJ1VzzL0KIwOMPJYUQrYC2QHzD1qrWlgDXCiGMQoiWOM9pawPXqcYq/oMddwXOB80Xo21AWyFESyGEAedD8SUNXKdaEUK4CyE8j78GLuXi/Xz+bQlwU8Xrm4CL6o65SV/Jn4kQ4grgAyAQ+EMIsVtKORYYBrwohLACDuBuKeW/H8Q0Sqc7JylljBBiHnAAsAH3SSntDVnX8/SGEKIHzuaaROCuBq3NeZJS2oQQ9wPLAC3wpZQypoGrVVvBwEIhBDjjylwp5V8NW6WaE0L8CIwAAoQQKcB/gNeAeUKI23CmQr+m4WpYcyqtgaIoShOmmmsURVGaMBXkFUVRmjAV5BVFUZowFeQVRVGaMBXkFUVRmjAV5BVFUZowFeQVRVGasP8Hg2S9Y27aK+QAAAAASUVORK5CYII=\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "inferred_labels = results[0]\n", "plt.scatter(data[0,:],data[1,:],c=inferred_labels, s=1)" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "results = DPMMPython.fit(data,alpha,prior = prior,iterations=70, burnout=5,smart_splits=True)\n", "inferred_labels = results[0]\n", "plt.scatter(data[0,:],data[1,:],c=inferred_labels, s=1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Looks good, we can quantilize the quality of the clustering using NMI:" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "from sklearn.metrics.cluster import normalized_mutual_info_score" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "DPGMM NMI:0.9728852990709327\n" ] } ], "source": [ "dpgmmm_nmi = normalized_mutual_info_score(inferred_labels.astype(int), np.array(labels),average_method='arithmetic')\n", "print(f'DPGMM NMI:{dpgmmm_nmi}') " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Comparing VS other methods" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "from sklearn.cluster import KMeans\n", "from sklearn.mixture import GaussianMixture" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### K-means:" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [], "source": [ "kmeans = KMeans(n_clusters=K).fit(data.T)\n", "kmeans_labels = kmeans.labels_" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.scatter(data[0,:],data[1,:],c=kmeans_labels, s=1)" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "K-means NMI:0.9309229767796119\n" ] } ], "source": [ "kmeans_nmi = normalized_mutual_info_score(kmeans_labels.astype(int), np.array(labels),average_method='arithmetic')\n", "print(f'K-means NMI:{kmeans_nmi}') " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### GMM:" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [], "source": [ "gmm = GaussianMixture(n_components=20,covariance_type='full').fit(data.T)\n", "gmm_labels = gmm.predict(data.T)" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.scatter(data[0,:],data[1,:],c=gmm_labels, s=1)" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "GMM NMI:0.9513343588873828\n" ] } ], "source": [ "gmm_nmi = normalized_mutual_info_score(gmm_labels.astype(int), np.array(labels),average_method='arithmetic')\n", "print(f'GMM NMI:{gmm_nmi}') " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Even when using the correct K for K-means and GMM, the DPGMM outperform them." ] } ], "metadata": { "@webio": { "lastCommId": null, "lastKernelId": null }, "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": "3.8.10" } }, "nbformat": 4, "nbformat_minor": 2 }