{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import decimal\n", "\n", "import matplotlib.pyplot as plt\n", "import numpy\n", "import pandas as pd\n", "import scipy.sparse\n", "import scipy.special\n", "import scipy.stats\n", "import tqdm" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "import hetmech.hetmat\n", "import hetmech.degree_group\n", "import hetmech.degree_weight\n", "import hetmech.pipeline" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "hetmat = hetmech.hetmat.HetMat('../data/hetionet-v1.0.hetmat/')" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "metapaths = ['DaGbC', 'SpDpS', 'SEcCrCtD',]" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "# Used in the next cell\n", "def matrix_to_dgp(matrix, dwpc_scaler, source_degree_to_ind, target_degree_to_ind):\n", " rows = dict()\n", " if scipy.sparse.issparse(matrix):\n", " matrix = matrix.toarray()\n", " \n", " for source_degree, row_inds in source_degree_to_ind.items():\n", " row_matrix = matrix[row_inds, :]\n", " for target_degree, col_inds in target_degree_to_ind.items():\n", " if source_degree == 0 or target_degree == 0:\n", " continue\n", " slice_matrix = row_matrix[:, col_inds]\n", " values = numpy.arcsinh(slice_matrix / dwpc_scaler)\n", " rows[(source_degree, target_degree)] = values.flatten().tolist()\n", " return rows" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "def metapath_to_full_dgp(hetmat, metapath):\n", " _, _, pc_matrix = hetmech.degree_weight.dwpc(hetmat, metapath, dense_threshold=0.7, damping=0.0)\n", " _, _, dwpc_matrix = hetmech.degree_weight.dwpc(hetmat, metapath, dense_threshold=0.7, damping=0.5)\n", "# nnz = dwpc_matrix.nnz if scipy.sparse.issparse(dwpc_matrix) else numpy.count_nonzero(dwpc_matrix)\n", "# scaler = dwpc_matrix.sum() / nnz\n", " scaler = dwpc_matrix.mean()\n", "\n", " source_degree_to_ind, target_degree_to_ind = hetmech.degree_group.metapath_to_degree_dicts(hetmat, metapath)\n", "\n", " perm_dgp = None\n", " for name, permat in tqdm.tqdm(hetmat.permutations.items()):\n", " _, _, matrix = hetmech.degree_weight.dwpc(permat, metapath, damping=0.5, dense_threshold=0.7)\n", " degree_to_dgp = matrix_to_dgp(matrix, scaler, source_degree_to_ind, target_degree_to_ind)\n", " if perm_dgp is None:\n", " perm_dgp = degree_to_dgp.copy()\n", " else:\n", " for degree_combo, dgp_list in perm_dgp.items():\n", " dgp_list.extend(degree_to_dgp[degree_combo])\n", " return perm_dgp" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [], "source": [ "class GammaHurdle:\n", " def __init__(self):\n", " self.alpha = None\n", " self.beta = None\n", " self._gamma_coef = None\n", " self._p_nnz = None\n", " \n", " def fit(self, values):\n", " values = numpy.array(values)\n", " dwpc_sum = numpy.sum(values)\n", " dwpc_sum_sq = numpy.sum([i**2 for i in values])\n", " nnz = len(values[values > 0])\n", " mean_nz = dwpc_sum / nnz\n", " sd_nz = ((dwpc_sum_sq - (dwpc_sum**2) / nnz) / (nnz - 1)) ** 0.5\n", " self.beta = mean_nz / sd_nz ** 2\n", " self.alpha = mean_nz * self.beta\n", " self._gamma_coef = (self.beta ** self.alpha) / scipy.special.gamma(self.alpha)\n", " self._p_nnz = nnz / len(values)\n", " \n", " def pdf(self, x):\n", " if type(x) == numpy.ndarray:\n", " return [self.pdf(i) for i in x]\n", " else:\n", " return self._p_nnz * self._gamma_coef * (x ** (self.alpha - 1)) * numpy.exp(- self.beta * x)\n", " \n", " def cdf(self, x):\n", " if type(x) == numpy.ndarray:\n", " return [self.cdf(i) for i in x]\n", " else:\n", " return (1 - self._p_nnz) + self._p_nnz * scipy.special.gammainc(self.alpha, self.beta * x)" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "def check_fit(values):\n", " g = GammaHurdle()\n", " g.fit(values)\n", "\n", " x = numpy.linspace(0, 10, 100)\n", " y = [g.pdf(i) for i in x]\n", "\n", " values = numpy.array(values)\n", " values_nz = values[values > 0]\n", " plt.figure()\n", " plt.plot(x, y, linewidth=2, label='gamma fit')\n", " bars, _, _ = plt.hist(values, density=True, label='true dist')\n", " plt.legend()\n", " plt.ylim((0, 1.1 * max(bars[1:])));\n", " \n", " return scipy.stats.kstest(values_nz, 'gamma', args=(g.alpha, 0, 1/g.beta))" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "scrolled": false }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "100%|██████████| 200/200 [00:30<00:00, 6.53it/s]\n", "100%|██████████| 200/200 [00:12<00:00, 16.05it/s]\n", "100%|██████████| 200/200 [01:01<00:00, 3.26it/s]\n" ] }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "for metapath in metapaths:\n", " perm_dgp = metapath_to_full_dgp(hetmat, metapath)\n", " for degree_combo in [(1,1), (1,3), (3,3), (3, 10),]:\n", " dgp_values = perm_dgp[degree_combo]\n", " values_nz = [i for i in dgp_values if i > 0]\n", " ks_result = check_fit(dgp_values)\n", "\n", " p_value = decimal.Decimal(ks_result[1])\n", " plt.title(f'{metapath} - {degree_combo} - p={p_value :.2E} - {len(values_nz)} nonzero values')" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ " 0%| | 0/91 [00:00 0]\n", "\n", "distribution_performance = dict()\n", "\n", "for distribution in tqdm.tqdm([\n", " scipy.stats.alpha,\n", " scipy.stats.anglit,\n", " scipy.stats.arcsine,\n", " scipy.stats.beta,\n", " scipy.stats.betaprime,\n", " scipy.stats.bradford,\n", " scipy.stats.burr,\n", " scipy.stats.burr12,\n", " scipy.stats.cauchy,\n", " scipy.stats.chi,\n", " scipy.stats.chi2,\n", " scipy.stats.cosine,\n", " scipy.stats.dgamma,\n", " scipy.stats.dweibull,\n", "# scipy.stats.erlang,\n", " scipy.stats.expon,\n", " scipy.stats.exponnorm,\n", " scipy.stats.exponweib,\n", " scipy.stats.exponpow,\n", " scipy.stats.f,\n", " scipy.stats.fatiguelife,\n", " scipy.stats.fisk,\n", " scipy.stats.foldcauchy,\n", " scipy.stats.foldnorm,\n", "# scipy.stats.frechet_r,\n", "# scipy.stats.frechet_l,\n", " scipy.stats.genlogistic,\n", " scipy.stats.gennorm,\n", " scipy.stats.genpareto,\n", " scipy.stats.genexpon,\n", " scipy.stats.genextreme,\n", " scipy.stats.gausshyper,\n", " scipy.stats.gamma,\n", " scipy.stats.gengamma,\n", " scipy.stats.genhalflogistic,\n", " scipy.stats.gilbrat,\n", " scipy.stats.gompertz,\n", " scipy.stats.gumbel_r,\n", " scipy.stats.gumbel_l,\n", " scipy.stats.halfcauchy,\n", " scipy.stats.halflogistic,\n", " scipy.stats.halfnorm,\n", " scipy.stats.halfgennorm,\n", " scipy.stats.hypsecant,\n", " scipy.stats.invgamma,\n", " scipy.stats.invgauss,\n", " scipy.stats.invweibull,\n", " scipy.stats.johnsonsb,\n", " scipy.stats.johnsonsu,\n", " scipy.stats.kappa4,\n", " scipy.stats.kappa3,\n", " scipy.stats.ksone,\n", " scipy.stats.kstwobign,\n", " scipy.stats.laplace,\n", " scipy.stats.levy,\n", " scipy.stats.levy_l,\n", " scipy.stats.levy_stable,\n", " scipy.stats.logistic,\n", " scipy.stats.loggamma,\n", " scipy.stats.loglaplace,\n", " scipy.stats.lognorm,\n", " scipy.stats.lomax,\n", " scipy.stats.maxwell,\n", " scipy.stats.mielke,\n", " scipy.stats.nakagami,\n", " scipy.stats.ncx2,\n", " scipy.stats.ncf,\n", " scipy.stats.nct,\n", " scipy.stats.norm,\n", " scipy.stats.pareto,\n", " scipy.stats.pearson3,\n", " scipy.stats.powerlaw,\n", " scipy.stats.powerlognorm,\n", " scipy.stats.powernorm,\n", " scipy.stats.rdist,\n", " scipy.stats.reciprocal,\n", " scipy.stats.rayleigh,\n", " scipy.stats.rice,\n", " scipy.stats.recipinvgauss,\n", " scipy.stats.semicircular,\n", " scipy.stats.skewnorm,\n", " scipy.stats.t,\n", " scipy.stats.trapz,\n", " scipy.stats.triang,\n", " scipy.stats.truncexpon,\n", " scipy.stats.truncnorm,\n", " scipy.stats.tukeylambda,\n", " scipy.stats.uniform,\n", " scipy.stats.vonmises,\n", " scipy.stats.vonmises_line,\n", " scipy.stats.wald,\n", " scipy.stats.weibull_min,\n", " scipy.stats.weibull_max,\n", " scipy.stats.wrapcauchy\n", "]):\n", " try:\n", " params = distribution.fit(values_nz)\n", " ks, p = scipy.stats.kstest(values_nz, distribution.cdf, args=params)\n", " distribution_performance[distribution] = (ks, p)\n", " except:\n", " continue" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
\n", "\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
01
<scipy.stats._continuous_distns.exponweib_gen object at 0x7fef1d0af5f8>0.0199453.357472e-13
<scipy.stats._continuous_distns.gengamma_gen object at 0x7fef1d0def98>0.0204866.654501e-14
<scipy.stats._continuous_distns.exponpow_gen object at 0x7fef1d0afc50>0.0213294.914416e-15
<scipy.stats._continuous_distns.gompertz_gen object at 0x7fef1d0e44e0>0.0261012.640552e-22
<scipy.stats._continuous_distns.gausshyper_gen object at 0x7fef1d06d978>0.0262331.586766e-22
\n", "
" ], "text/plain": [ " 0 1\n", "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "metapath = metapaths[2]\n", "degree_combo = (3,10)\n", "dist = scipy.stats.exponweib\n", "\n", "perm_dgp = metapath_to_full_dgp(hetmat, metapath)\n", "\n", "dgp_values = perm_dgp[degree_combo]\n", "values_nz = [i for i in dgp_values if i > 0]\n", "\n", "params = dist.fit(values_nz)\n", "\n", "ks_result = scipy.stats.kstest(values_nz, dist.cdf, args=params)\n", "print(ks_result)\n", "\n", "x = numpy.linspace(0, 10, 100)\n", "y = [dist.pdf(i, *params) for i in x]\n", "\n", "plt.figure()\n", "plt.plot(x, y, linewidth=2, label='exponweib fit')\n", "bars, _, _ = plt.hist(values_nz, density=True, label='true dist')\n", "plt.legend()\n", "plt.ylim((0, 1.1 * max(bars[1:])));\n", "\n", "p_value = decimal.Decimal(ks_result[1])\n", "plt.title(f'{metapath} - {degree_combo} - p={p_value :.2E} - {len(values_nz)} nonzero values');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Does not perform well on other distributions" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "100%|██████████| 200/200 [00:12<00:00, 15.78it/s]\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "KstestResult(statistic=0.5494956784587973, pvalue=0.0)\n" ] }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "metapath = metapaths[1]\n", "degree_combo = (3,3)\n", "dist = scipy.stats.exponweib\n", "\n", "perm_dgp = metapath_to_full_dgp(hetmat, metapath)\n", "\n", "dgp_values = perm_dgp[degree_combo]\n", "values_nz = [i for i in dgp_values if i > 0]\n", "\n", "params = dist.fit(values_nz)\n", "\n", "ks_result = scipy.stats.kstest(values_nz, dist.cdf, args=params)\n", "print(ks_result)\n", "\n", "x = numpy.linspace(0, 10, 100)\n", "y = [dist.pdf(i, *params) for i in x]\n", "\n", "plt.figure()\n", "plt.plot(x, y, linewidth=2, label='exponweib fit')\n", "bars, _, _ = plt.hist(values_nz, density=True, label='true dist', bins=30)\n", "plt.legend()\n", "plt.ylim((0, 1.1 * max(bars[1:])));\n", "\n", "p_value = decimal.Decimal(ks_result[1])\n", "plt.title(f'{metapath} - {degree_combo} - p={p_value :.2E} - {len(values_nz)} nonzero values');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Second best distribution" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "100%|██████████| 200/200 [00:12<00:00, 15.85it/s]\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "KstestResult(statistic=0.5599760844619381, pvalue=0.0)\n" ] }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "metapath = metapaths[1]\n", "degree_combo = (3,3)\n", "dist = scipy.stats.gengamma\n", "\n", "perm_dgp = metapath_to_full_dgp(hetmat, metapath)\n", "\n", "dgp_values = perm_dgp[degree_combo]\n", "values_nz = [i for i in dgp_values if i > 0]\n", "\n", "params = dist.fit(values_nz)\n", "\n", "ks_result = scipy.stats.kstest(values_nz, dist.cdf, args=params)\n", "print(ks_result)\n", "\n", "x = numpy.linspace(0, 10, 100)\n", "y = [dist.pdf(i, *params) for i in x]\n", "\n", "plt.figure()\n", "plt.plot(x, y, linewidth=2, label='exponweib fit')\n", "bars, _, _ = plt.hist(values_nz, density=True, label='true dist', bins=30)\n", "plt.legend()\n", "plt.ylim((0, 1.1 * max(bars[1:])));\n", "\n", "p_value = decimal.Decimal(ks_result[1])\n", "plt.title(f'{metapath} - {degree_combo} - p={p_value :.2E} - {len(values_nz)} nonzero values');" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXcAAAEICAYAAACktLTqAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMi4yLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvhp/UCwAAIABJREFUeJzt3XmYFOW59/Hv3TPDDDuyigwwGFFAWR3EDYM7KKJxC0g8Eo0kGk1yktcjx/gqJ2Yx0XNMfNUYogZjXOJ2FBXcJaiICArIomyCDIsMwyI7s9zvH1WDTTNLz0z3NNPz+1xXX9NV9VTVXTXVdz/1VPVT5u6IiEh6iaQ6ABERSTwldxGRNKTkLiKShpTcRUTSkJK7iEgaUnIXEUlDSu71xMyyzWyxmR1eD+t63syGJ3s9Io2RmQ0zs4JUx1GdQza5m9mpZjbTzLaZ2WYze9/MBsc573Qz22Nm283sazOba2YTzCy7PtZfifHADHffEC7/Z2a2MoxvnZndY2aZccZ2upl9amZbzazIzP7XzLpEFbkT+E0dYk0YM7vRzL4It3OOmZ1aRdneZvZ2uM+Xm9l3YqafaWafmdkuM3vHzLpHTSv/n++Ier1UyXqyzexhM1sdHiOfmNmIqOknmtkb4f+90MyeMbPOUdPbmNmjZrYxfE2s0076Zrk9w234R9S4zmY2JTxG3MzyYubpYmYvhrEWmNmPoqYdHU4rDKe/ZmbHxMz/72a2Idznj9TkMyKHOHc/5F5AK2ArMAbIAJoC5wD94px/OvCD8H1zYBgwD3gLsGSvv5JlLgROiRr+FtAmfN8WeBv4eZzL6gQcEb7PBv4ATIkpswzIT/H/cQiwEzgeMOA6oBDIqKBsJrAU+Hm4z88I5z06nN4e2AZcBuQAdwGzKvqfxxFXc2AikEdQwRkJbAfywukjwvW0ApoBjwCvRs3/N+CZcFoesAL4fgL21+vAu8A/Yv7X1wMnAV4eY9T0d4A/AllAf2AzcHo47QTgmvD4ygLuAD6Lmvdc4CvgWOCwcB/emcpjpg77LrMe1zUMKEj1NlcbZ6oDqGTn5QNbq5g+Dngf+H/hB/4z4Myo6Qd90IFuwC5gZDg8EXgW+Gf4wf4Y6B/P+muxPd2A3ZUdgEA74E3ggVosOxv4HbA4ZvxfgdvrELMDPwFWApvCZBqp4TK+C8yOGm4eLrdzBWWPA3YQ9eUbJrs7wvfjgZkxy9oN9Krsf17DWBcAl1QybRCwPWp4EzA4avgW4N06HiOjgafD4/IfFUzPjE3uQItwXIeocZOAxypZR9uwfLtw+Angt1HTzwQ2VDJvXjjvVcCX4T74Zcxx+EdgXfj6I5AdThsGFAC/ADYC6wm/DIEjwv97+WsX4FHLvRpYAmwBXgO6xxyjPyaoyHwRjjsZ+IggL3wEnFzJ9kwAno0Z9yfg3vD998P1bg8/Az+MKjeMqOQexnFU1PBk4NdRwyMJKpdbgZlEVRKBm4G14Xo+JyqP1fV1qDbLLAVKw1PfEWZ2WAVlhhDs9PbA7cDzZta2sgW6+5fAHGBo1OgLCWpgbQkO9BfMLCvO9ddEX2Clu5dEjzSzK8zsa4IPSn/gL/Eu0My6mdlWggT3fwhq79GWhMusi+8QfNENIthXV4frPjVsEqrsVd70Mg3IMLMhZpYRzj8P2FDRJlUy7rjw/bHA/PIJ7r6ToMZ8bB23ETPrBBwNLKqkyGkVTLOY98dRS2bWCvgVQfKr0aw1jOU0guRdFA4fsE/D953MrF0V6zwVOIbgi+A2M+sdjv8lcCIwgOC4OwG4NWq+w4HWQBeCs4n7zewwd1/n7i3KX8D/Ak8BmNlFBF+cFwMdCM5qnoyJ5yKCXNAn/Py/AtxLUGH6H+CVSrbnSeC8cN8THp+XE+QBCL6ERhKcvX0fuMfMBlWxXyoUzvMI8MMwpr8AU8KmwWOAGwgqCi0JzqRW1XQdlUrUt0SiX0Bvgm/AAqAEmAJ0CqeNI6gdRNfyZgNXhu+nU0EtjuCg+Wv4fiIHntZHCGoUQ6tbfy22ZWz0uiqY3pPglPnwWiy7LcG3/4kx468F3q7D/ndgeNTw9cBbNVyGEXw4i8N9eECNN6ZsFsGX9X+E788B9gGvhdMfJqbJgODsbVzU/3wXQe2o/HVHHDFmEZw1/aWS6f0ImjqGRo37B/A80BI4iuBLZm8d9vWfgJujjsu4au7h+PcIzmBzCL6ENwOfVzB/LkENcUzUuBUx/+OsitYRTssLp+VGjZsNjI5a1nlR084FVoXvhxFz5kqQPGOP2ZuBuUDTcHgacE3U9Ej4P+4edYyeETX9SqLOFMNxH5QfIxVs03vAv4XvzwZWVPE/egH4adT2xFVzB/4cexwS1NC/HR47G4GzgKzaHj+VvQ7VmjvuvsTdx7l7LkFN5AiCU71yaz3cU6HVYZmqdCE4+MutiVpfGUEiPyLO9e8XcxGvWwVFthAkggq5+zKCmuED1cRf0bybgUeBF2MuyLYkSHAVxTstKt6xVSx+TdT7ePZvrB8Q1NaPBZoA3wNeNrODluPuxQS1sPMJava/IGimKL8rYQdBLSpaK4LT2XI/cfc2Ua//C5Vvr5lFgMcIvkRuiI3JzI4iSDA/dfd3o9dDkKyWAS8S1AIrvHvCzB6MWvctFUwfQPDhvqei+eMwFuhB8L/6M/B4bCxm1oGgiesBd4+u+cbu0/L30fs0VvRZ1y6CpiEIjo3VUdNij5ciP/DMNXpewgvaPwUucvfd4ejuwJ/KzwgJPrtG8DkuF32MxsZQHkcXKvYEwXU1gCv4ptZOeMY+K7wQvRU4j6CVoKa6A7+IPrMFuhJcM1sO/IzgC32jmT1V0Wejtg7Z5B7N3T8j+DaMPt3sYmbRp6PdCGrzFTKzrgQX9qI/pF2jpkcIajcHLaOS9UdPbxH1+rKCIguAI63qu2EyCS6y1kYm0JEDP6i9OfCUOzreEVHxPl7FcrtGvd+/f81saMwXWuyrvOmrP/CSuy919zJ3f5Xg7OjkSuJa4O7fdvd27n4ucCRB7RCCL7/9zUxm1pxgf1XWlFLl9obHzsMEFywvCb9c9rPgTpw3CWpdj8Usb7O7j3X3w939WILP0Wwq4O4/ilr3bysoMoygVvylmW0gaGK7xMw+rm67wuWvdveR7t7B3YcQnPrvjyVsUnyd4IJ77B1UB+zT8P1X/k2zTU2sI0hk5ar8PEYLmyceBS539+hkvYagrTv6C7upu8+MKhNdwYuNoTyOtZWs+hlgmJnlEjRBPhHGkw08B9xNcLbeBphKxU2HEHxRNYsajr7deQ3wm5htaFb+JevuT7j7qWHcDvy+knXUXKJPBRLxAnoR1Nxyw+GuBKfg5U0q4whO839KcCp5GfA131woms43d8s0IzgF+jgcH/FvTn+LCdrzMgnu0lgVLq/K9ddymxYQdXGHoFbbMXzfh+CD9j9R06cDEytZ1sUE7Z4RgrbIp4GPY8osBU6oQ7xOcHfRYeH2fwaMr+EyrgrjOJLgg3E2wQehVyXl+xE0LzQjSHJf8M1FuQ4EF8kuCcv8nlreLROWfxCYBbSoYFoXgmaGmyqZ91sESTSD4M6aTcCxtdzPzQiSQfnrboIL/dEXSXP45mL0MUBO1LTeBGdp5WdGm8rnJfiynw3cV8m6hxPUxPuE/+e3qeRuGb5ploluWtm/z4FfE1ws7EBQw32Pb5omhhFzdwnBZ+2sMMYKjy2ChLuwfN8StNlfFnOMRjeHtCM4W72C4DP93XC4fRX7fxrwBvBJ1LiWQClB3rDwf7yrsu0hyA13hsfDcIKzuvKy+QQJfki4rOYEZ6ctw//lGQQXo5sQtM1Pru1n9qBtS9SCEvkKP1xPE3zj7gz//gVoFU4fF+7Q+wg+8EuBc2IOuj0Ep5fbgU8ILvhEfygmcuDdMp8Ag+JZfy236cfAn6OG/0ZwG9rO8EC/Kya+FcDZlSzrRoLEt5Pgw/kUB95FMDj6YK1lvM43d8sUAf9NBbcwVrMMI7hQ+GW4j5cQXhcJp98CTIsavougCWtH+KE7KmZ5ZxEkgt3h/zivgv959J0XcyuJq7yWFFt+bDj99nB69LQdUfNfTlBL3EVwgfjcBB77E4lpcw9jOeAVNe1nBLeX7iRIqPlR064Ky++M2ZZuUWV+Hh6HX4fHZHYlceVRdXLPIbiQuT583Vt+PFN1ch9Wzb6+Evg0jG8N8EjMfok9Rk4laLffFv49tZr9fWW4nJtixv843C9bCZrunqLy5J5PUDnbHpZ9kgPvlhlOcOfO1nDfPEOQ3PsRfPluJ2hyepnwFudEvCxceYNiZuMIDqpKfxATxzImEhwY30tUXNWsL5vgC+RMd19fTdlc4Bl3P6mW63oOeNjdp9Zm/nAZDvT0oF1QRBqYuH4RKXXn7nsJTn/jKVtA8KOV2q7rktrOKyLpoUFcUBURkZppkM0yIiJSNdXcRUTSUMra3Nu3b+95eXmpWr2ISIM0d+7cTe7eobpyKUvueXl5zJkzJ1WrFxFpkMws9le4FVKzjIhIGlJyFxFJQ0ruIiJpSD9iEpE6KS4upqCggD179qQ6lLSSk5NDbm4uWVlZtZpfyV1E6qSgoICWLVuSl5fHgR21Sm25O0VFRRQUFNCjR49aLUPNMiJSJ3v27KFdu3ZK7AlkZrRr165OZ0NK7iJSZ0rsiVfXfarkLiKShqpN7mb2iJltNLOFVZQZZmbzzGyRmf0rsSGKiDR89957L71792bs2LFMmTKFO++8E4AXXniBxYsXJ3x98VxQnUzwUIy/VzTRzNoQPPtzuLt/aWYdExeeiEh6eOCBB5g2bdr+C6SjRo0CguQ+cuRI+vSJq0fwuFVbc3f3GRz4UOlYVwDPe/jsUHffmKDYRETicscdd9CrVy/OPvtsxowZw9133w3AX//6VwYPHkz//v255JJL2LVrFwDjxo3juuuu4/TTT+fII4/kX//6F1dffTW9e/dm3Lhx+5fbokULbr75Zo4//njOOussZs+ezbBhwzjyyCOZMmUKAKtWrWLo0KEMGjSIQYMGMXPmzIPi+9GPfsTKlSsZNWoU99xzD5MnT+aGG25g5syZTJkyhZtuuokBAwawYsWKhO2TRNwKeTSQZWbTCR4d9Sd3r6yWPx4YD9CtW7cErFpEDiV5E15JynJX3Xl+pdPmzJnDc889xyeffEJJSQmDBg3i+OOPB+Diiy/m2muvBeDWW2/l4Ycf5sYbbwRgy5YtvP3220yZMoULLriA999/n4ceeojBgwczb948BgwYwM6dOxk2bBi///3v+c53vsOtt97KG2+8weLFi7nqqqsYNWoUHTt25I033iAnJ4dly5YxZsyYg/rNevDBB3n11Vd55513aN++PZMnTwbg5JNPZtSoUYwcOZJLL700ofssEck9EzgeOBNoCnxgZrPcfWlsQXefBEwCyM/PV0fyIlJn7733HhdeeCFNmzYF4IILLtg/beHChdx6661s3bqVHTt2cO655+6fdsEFF2Bm9O3bl06dOtG3b18Ajj32WFatWsWAAQNo0qQJw4cPB6Bv375kZ2eTlZVF3759WbVqFRD8iOuGG25g3rx5ZGRksHTpQakvJRKR3AuATe6+E9hpZjOA/gQPrRaRRqSqGnayVPXAoXHjxvHCCy/Qv39/Jk+ezPTp0/dPy87OBiASiex/Xz5cUlICQFZW1v5bEqPLRZe555576NSpE/Pnz6esrIycnJyEbl9tJeJWyBeBoWaWaWbNgCEET7kXEUm6U089lZdeeok9e/awY8cOXnnlm6ah7du307lzZ4qLi3n88ceTsv5t27bRuXNnIpEIjz32GKWlpTWav2XLlmzfvj3hccVzK+STwAfAMWZWYGbXmNmPzOxHAO6+BHgVWADMBh5y90pvmxQRSaTBgwczatQo+vfvz8UXX0x+fj6tW7cGggutQ4YM4eyzz6ZXr15JWf/111/Po48+yoknnsjSpUtp3rx5jeYfPXo0d911FwMHDkzoBdWUPUM1Pz/f9bAOkYZvyZIl9O7dO6Ux7NixgxYtWrBr1y5OO+00Jk2axKBBg1IaUyJUtG/NbK6751c3rzoOE5EGb/z48SxevJg9e/Zw1VVXpUVirysl9/o0sXXM8LbUxCGSZp544olUh3DIUd8yIiJpSMldRCQNKbmLiKQhJXcRkTSkC6oiklixNw7UeXlV33iwdetWnnjiCa6//vrErrcSeXl5zJkzh/bt23PyySdX2FFYud/+9rfccsst9RJXLNXcRaRB27p1Kw888ECF02r6a9GaqiqxQ5DcU0XJXUQatAkTJrBixQoGDBjATTfdxPTp0zn99NO54oor9nfwddxxx+0vf/fddzNx4kQAVqxYwfDhwzn++OMZOnQon3322UHLLyoq4pxzzmHgwIH88Ic/PKAvmxYtWgCwfv16TjvtNAYMGMBxxx3Hu+++y4QJE9i9ezcDBgxg7Nixyd0JFVCzjIg0aHfeeScLFy5k3rx5AEyfPp3Zs2ezcOFCevTosb/3xoqMHz+eBx98kJ49e/Lhhx9y/fXX8/bbbx9Q5r/+67849dRTue2223jllVeYNGnSQct54oknOPfcc/nlL39JaWkpu3btYujQodx3333746pvSu4iknZOOOGE/U88qsyOHTuYOXMml1122f5xe/fuPajcjBkzeP755wE4//zzOeywww4qM3jwYK6++mqKi4u56KKLGDBgQB23oO7ULCMiaSe6867MzEzKysr2D+/ZsweAsrIy2rRpw7x58/a/liypuEPb8m5/K3PaaacxY8YMunTpwpVXXsnf/17h84rqlZK7iDRo1XWZ26lTJzZu3EhRURF79+7l5ZdfBqBVq1b06NGDZ555Bgj6hZ8/f/5B85922mn7uwueNm0aW7ZsOajM6tWr6dixI9deey3XXHMNH3/8MRD0B19cXFznbawNNcuISGLVc59J7dq145RTTuG4445jxIgRnH/+gQ8MycrK4rbbbmPIkCH06NHjgK5/H3/8ca677jp+/etfU1xczOjRo+nfv/8B899+++2MGTOGQYMG8e1vf7vCR4ROnz6du+66i6ysLFq0aLG/5j5+/Hj69evHoEGDktaffGXU5W99UsdhkoYOhS5/01VduvxVs4yISBpSchcRSUPxPGbvETPbaGZVPjrPzAabWamZXZq48ESkIUhV8246q+s+jafmPhkYXlUBM8sAfg+8VqdoRKTBycnJoaioSAk+gdydoqIicnJyar2Mau+WcfcZZpZXTbEbgeeAwbWOREQapNzcXAoKCigsLEx1KGklJyeH3NzcWs9f51shzawL8B3gDKpJ7mY2HhgPVHg7kYg0PFlZWdX+GlTqXyIuqP4RuNndq+1+zd0nuXu+u+d36NAhAasWEZGKJOJHTPnAU+HPc9sD55lZibu/kIBli4hILdQ5ubv7/vMxM5sMvKzELiKSWtUmdzN7EhgGtDezAuB2IAvA3R9ManQiIlIr8dwtMybehbn7uDpFIyIiCaFfqIqIpCEldxGRNKTkLiKShpTcRUTSkJK7iEgaUnIXEUlDSu4iImlIyV1EJA3pAdmJFv2cVD0jVURSRDV3EZE0pOQuIpKGlNxFRNKQkruISBpSchcRSUNK7iIiaUjJXUQkDVWb3M3sETPbaGYLK5k+1swWhK+ZZtY/8WGKiEhNxFNznwwMr2L6F8C33b0fcAcwKQFxiYhIHcTzmL0ZZpZXxfSZUYOzgNy6hyUiInWR6Db3a4BplU00s/FmNsfM5hQWFiZ41SIiUi5hyd3MTidI7jdXVsbdJ7l7vrvnd+jQIVGrFhGRGAnpOMzM+gEPASPcvSgRyxQRkdqrc83dzLoBzwNXuvvSuockIiJ1VW3N3cyeBIYB7c2sALgdyAJw9weB24B2wANmBlDi7vnJClhERKoXz90yY6qZ/gPgBwmLSERE6ky/UBURSUNK7iIiaUjJXUQkDSm5i4ikISV3EZE0pOQuIpKGlNxFRNKQkruISBpSchcRSUNK7iIiaUjJXUQkDSm5i4ikISV3EZE0pOQuIpKGlNxFRNKQkruISBpSchcRSUPVJncze8TMNprZwkqmm5nda2bLzWyBmQ1KfJgiIlIT8dTcJwPDq5g+AugZvsYDf657WCIiUhfVJnd3nwFsrqLIhcDfPTALaGNmnRMVoIiI1Fwi2ty7AGuihgvCcQcxs/FmNsfM5hQWFiZg1SIiUpHMBCzDKhjnFRV090nAJID8/PwKyzRaE1vHDG9LTRwikhYSUXMvALpGDecC6xKwXBERqaVEJPcpwL+Fd82cCGxz9/UJWK6IiNRStc0yZvYkMAxob2YFwO1AFoC7PwhMBc4DlgO7gO8nK1gREYlPtcnd3cdUM92BHycsIhERqTP9QlVEJA0puYuIpCEldxGRNKTkLiKShpTcRUTSkJK7iEgaUnIXEUlDSu4iImlIyV1EJA0puYuIpCEldxGRNKTkLiKShpTcRUTSkJK7iEgaUnIXEUlDSu4iImkoruRuZsPN7HMzW25mEyqY3s3M3jGzT8xsgZmdl/hQRUQkXtUmdzPLAO4HRgB9gDFm1iem2K3A0+4+EBgNPJDoQEVEJH7x1NxPAJa7+0p33wc8BVwYU8aBVuH71sC6xIUoIiI1Ve0zVIEuwJqo4QJgSEyZicDrZnYj0Bw4KyHRiYhIrcRTc7cKxnnM8BhgsrvnAucBj5nZQcs2s/FmNsfM5hQWFtY8WhERiUs8yb0A6Bo1nMvBzS7XAE8DuPsHQA7QPnZB7j7J3fPdPb9Dhw61i1hERKoVT3L/COhpZj3MrAnBBdMpMWW+BM4EMLPeBMldVXMRkRSpNrm7ewlwA/AasITgrphFZvYrMxsVFvsFcK2ZzQeeBMa5e2zTjYiI1JN4Lqji7lOBqTHjbot6vxg4JbGhiYhIbekXqiIiaUjJ/RBS7Bk8WzqUD8t6oVYtEamLuJplJPk+L8vl58XXsch7AHDUPTMYO6Qbl+V3pUW2/k0iUjOquaeYuzNpxgou2PcbFnkPulBIB7awfOMO/uulxVz655ns3lea6jBFpIFRck+xp+es4bdTP2MfWYzJeIvXsm9mZvZP+PPYQXRv14zPNmznVy8vSnWYItLAKLmn0K59Jfz360sB+F3mX/ld1sO0sD1kWSkj+nbmwe8dT5PMCE/OXsOL89amOFoRaUiU3FPooXe/YOP2vfTLbc13M6YfNL1351bcNjLogPOW5z9l1aad9RyhiDRUSu4pUuit+Mu/VgDwnyN6E7GK744ZO6Qb5/ftzM59pfzsn/N0F42IxEXJPUX+VHIJO/eVcmavjpz0rXaVljMzfndJX9q3yGbemq1M/1y9OohI9ZTcU2Bl2eE8WXoGEYMJI3pVW75VThbXDg1ukbzvneWqvYtItZTcU+Cp0jMoJYNLBuXSs1PLuOYZe2J3WjfNYu7qLcxauTnJEYpIQ6fkXs/K3Hip9CQAvju4azWlv9EiO5Pvn5IHwP3vLE9GaCKSRpTc69kcP5r1tKMLhQzqdliN5h13ch4tsjN5b/km5q3ZmqQIRSQdKLnXs/Ja+8iMD4hEKnrIVeXaNGvC907sDsB9b6v2LiKVU3KvRyUeYWpp8PjZCzI+qNUyrjm1B00yI7y55CvWbN6VyPBEJI0oudej98uOo4jWHGnrONZW12oZHVpmc95xhwPwzNyCRIYnImlEyb0evVQWNMmMypiJ1axF5gCXhxdin5mzhtIy3RYpIgeLK7mb2XAz+9zMlpvZhErKXG5mi81skZk9kdgwG749xaW8VjoYgAsitWuSKXdij3Z0a9uM9dv28O4y/ahJRA5WbXI3swzgfmAE0AcYY2Z9Ysr0BP4TOMXdjwV+loRYG7R/LS1kO8041r7gW5H1dVpWJGJcnp8LBL1KiojEiqfmfgKw3N1Xuvs+4Cngwpgy1wL3u/sWAHffmNgwG763lwS75LyMDxOyvEuP70rE4I3FX1G0Y29Cliki6SOe5N4FiK4eFoTjoh0NHG1m75vZLDMbXtGCzGy8mc0xszmFhY2nOcHdeW/5JgBOi3yakGUe3jqHYcd0pLjU+d9P1B2wiBwonuRe0aW/2Kt4mUBPYBgwBnjIzNocNJP7JHfPd/f8Dh061DTWBmtV0S7Wbt3NYWznWFuVsOVenh9cWP3nR2vU34yIHCCe5F4ARP9OPhdYV0GZF9292N2/AD4nSPYCvBde9Dw5srDSrn1r48zeHWnfognLNu5g4dqvE7ZcEWn44knuHwE9zayHmTUBRgNTYsq8AJwOYGbtCZppViYy0IasvEnm1MjChC43KyPCyH5HADBlvppmROQb1SZ3dy8BbgBeA5YAT7v7IjP7lZmNCou9BhSZ2WLgHeAmdy9KVtANSUlpGTNXBLvi1AS1t0cbNaA8ua/TPe8isl9mPIXcfSowNWbcbVHvHfh5+JIon67dxvY9JXRv14yuOzclfPkDu7aha9umrNm8m9lfbK7ywR8i0njEldyl9t5bFjbJHNUe5idooRNb739rwKiTPuT+d1YwZf5aJXcRAdT9QNK9G7a3D+3ZvmYzTmx94KsKFw4I7kyd+ukG9paU1ipOEUkvSu5JtHNvCZ98uYWIwUlH1jC518DRnVrS6/CWbNtdzIyliW/6EZGGR8k9iWZ/sZniUqdvbhtaN8tK6rrKL6y+OE93zYiI2tyT6v3yWyCPSn47+AX9juAPr37Om0u+YufeEppnx/GvjW3umbgtOcGJSL1TzT2JPlq9BYATj0x+cu/athn53Q9jT3EZby75KunrE5FDm5J7kuzybBat3UbEYGANn5VaWyP7dQbgpfl163VSRBo+JfckmVf2LUrKnD5HtKJFPE0kCXBev85EDGYsLWTb7uJ6WaeIHJqU3JNktvcCYHBe23pbZ8eWOQzp0Y59pWW8vmhDva1XRA49Su5JMqfsGKB+kzvAyP5B08zLC9Q0I9KYKbknQYlH+Lgs6BQzP69+2tvLjTiuMxmU8t7SDWy+Pbde1y0ihw4l9yRY7N3ZRQ557ZrRsWVOva67bfMmnBJZSCkZvBo+s1VEGh8l9yT4KGySya/nJply5Q/gfqnspJSsX0RST8k9Cb5pb6/fJply52TMoQnFzCrrzcav96R9FZ2rAAAPd0lEQVQkBhFJLSX3BHOHj8qScKdMnJ2IAbS2XXw7Mh8nogurIo2UknuCrfLD2URr2rONHu2bpyyOCzPeB+DF+bFPRBSRxkDJPcH2t7dHPsesomeL148zI5/QnN3MX7OVVZt2piwOEUmNuJK7mQ03s8/NbLmZTaii3KVm5maWn7gQG5aPvDy5L01pHE1tH+dG5gDBI/hEpHGpNrmbWQZwPzAC6AOMMbM+FZRrCfwE+DDRQTYkc8uOBoKae6qNCptmXpi3luBJiCLSWMRTcz8BWO7uK919H/AUcGEF5e4A/gA02tszinbsZaUfQQ57OdZWpTocToksol3zJqws3MmidV+nOhwRqUfxJPcuwJqo4YJw3H5mNhDo6u4vV7UgMxtvZnPMbE5hYWGNgz3UzQ27+B0QWU6Wpf5xd1lWyvlhT5FqmhFpXOJJ7hVdFdx/jm9mEeAe4BfVLcjdJ7l7vrvnd+jQIf4oG4jy5J5vqW1vj3Zh+ISmKfPWUVamphmRxiKe5F4AdI0azgWiq4EtgeOA6Wa2CjgRmNIYL6rOCZP78Sm+mBptULfDyD2sKRu+3sOsL4pSHY6I1JN4kvtHQE8z62FmTYDRwJTyie6+zd3bu3ueu+cBs4BR7j4nKREfovYUl/JpwTaMMgZFlqU6nP3MjO8MDFrRnp1bkOJoRKS+VJvc3b0EuAF4DVgCPO3ui8zsV2Y2KtkBNhQL125jX2kZR1sBrW1XfDPV4FendXHJoKB3yGmfbmDH3pKkrktEDg1xPSLI3acCU2PG3VZJ2WF1D6vhSWmTTDVfDnntm3NCXltmr9rM1AXruXxw1yrLi0jDp1+oJsicVZuB1P94qTKXHh/U3tU0I9I4KLkngLvvv1NmsKX+x0sVOa9fZ5pmZTB71WZ1RyDSCCi5J8CKwp1s2VVMx5bZ5Nqhef9+i+xMRvQ9HIDnPlbtXSTdKbknwNzVYZNM3mGksK+wal12fNDW/tzcAkp1z7tIWlNyT4A5q8KLqd1T8+SleA3p0ZaubZuybtse3l++KdXhiEgSKbknwOzwYmqqnrwUr0jEuDysvf9j1uoURyMiyaTkXkfrtu5mddEuWmZncuwRyb1fPRFGzziDLEp4c/F61nq7VIcjIkkS133uUrkPw5/0n9CjLRmRQ7DBPeYe+A4GIyIfMqXsFB4vOYv/yPpnigITkWRSzb2OZq0ImmROPLLh1IKvynwdgKdKT2ePZ6U4GhFJBiX3OirvjKshJfdBtow+torNtGJq2ZBUhyMiSaDkXgfR7e19jmiV6nDiZgZXZQS190dLzklxNCKSDErudXDIt7dXYVTGTFqzg/l+FPPLjkx1OCKSYEruddAQ29vLNbV9fDdjOgCTSkamNhgRSTgl9zpoiO3t0a7OnEYTipladgLLy45IdTgikkBK7rXUUNvbox1uW7gkYwZOhD+XXJDqcEQkgZTca6kht7dHuy7jJTIo5YWyU1mzOc6HjIjIIS+u5G5mw83sczNbbmYTKpj+czNbbGYLzOwtM+ue+FAPLQ25vT1at8hGRkVmUkoGk2asTHU4IpIg1SZ3M8sA7gdGAH2AMWbWJ6bYJ0C+u/cDngX+kOhADyXuzrvLgq59T/pWw07uANdnBo/E/eecNWz8ek+KoxGRRIin5n4CsNzdV7r7PuAp4MLoAu7+jruXn9PPAnITG+ahZfH6r1m3bQ8dW2bTp3PDbG+P1jOyluGR2ewrKeP+d5anOhwRSYB4knsXYE3UcEE4rjLXANMqmmBm481sjpnNKSw8NB9qEY+3l2wE4MzeHYk04Pb2aD/LfI6IwT8+/JLlG3ekOhwRqaN4kntF2avCJz2Y2feAfOCuiqa7+yR3z3f3/A4dOsQf5SHmzc/C5N6rU4ojSZxekTV8d3A3SsucO6ctSXU4IlJH8ST3AqBr1HAusC62kJmdBfwSGOXuexMT3qFn4/Y9zF+zlezMCKcc1T7V4STUz+efR3N28+aSjbz/f09OdTgiUgfxJPePgJ5m1sPMmgCjgSnRBcxsIPAXgsS+MfFhHjreCWvtpxzVnqZNMlIcTWJ1sK+5PvNFAO4o+Z4exSfSgFWb3N29BLgBeA1YAjzt7ovM7FdmNiosdhfQAnjGzOaZ2ZRKFtfgvRXV3p6OrsmYRhcK+cy789RtFwf9wU889B9CIiIHiuthHe4+FZgaM+62qPdnJTiuQ9Ke4lLeXRY8e/SMXumZ3HOsmAlZT3Jj8U/4XckVDMuYTxcrSnVYIlJD+oVqDXywsojdxaUce0QrOrdumupwkmZkZBbnRD5iB824uXg8ZZ4edwSJNCZK7jXw1pKvADizd/rcJVMRM/hN1sO05WveK+vL46VnpjokEakhJfc4FZeW8dqiMLmnaZNMtA72Nb/OegSA35ZcweqinSmOSERqQsk9Tm8t+YrC7Xs5qmML+uU2jguM52XM5oLITHaTw4+f+Jjd+0pTHZKIxEnJPU6Pf/glAFec0A2zxtMGfUfW3+huG1i49mv+zzPzcdftkSINgZJ7HFYX7eTdZZvIzoxwyaC07jbnIG1sJw9n3U3L7Exe+XQ9976lvmdEGgIl9zg8OTvoWuf8fp1p3SwrxdHUv6Mi67j3ioFEDO55cylT5h/0A2UROcQouVdjX0kZz84NkvvYId1SHE3qnH5MR245rzcA//7Pebw4b22KIxKRqsT1I6bG7PXFG9i0Yx/HdGrJoG6HpTqc1JnYmmsctmRczv2lF/Gzf85jX0kZl+V3rX5eEal3qrlXwd157IPVAFwxpHFdSK2IGdyU9TS/yHwad7jp2QU8/N4XusgqcghScq/C64u/4sMvNtMyO5OLBlbVhX3jcmPmC9xyXi8A7nh5MT95ah4795akOCoRiabkXomde0uYOGURADcNP4bWTRvfhdSqjH97EPdm/T+asYeX5q9j1H3v8fmG7akOS0RCSu6V+OObS1m/bQ/9clszdkjaP++7VkZlfMCUJrdytK1hReFOzr/3XX47dQk7VIsXSTkl9wosXvc1j7y/iojBby7qS0aaPEovGY6KrOOFJrcxdkg3St2ZNGMlZ9w9nac/WsO+krJUhyfSaCm5x9i+p5gJzy+gtMz5t5Py6NtIuhqoi2a2l9/MP5UXs37JAFvGxu17+Y/nFjD0D2/z4L9WsG13capDFGl0lNyjFG7fy+hJs1hQsI3OrXP4+TlHpzqkBqVf5AuebzKRe7Lu52hbw1df7+XOaZ8x+Ddv8qPH5jL10/Xqn0aknug+99CXRbu48pEPWV20i7x2zfj71UNolaOLqDUVMec7Ge9zUeR9/lXWj4dKz+f90r68umgDry7aQJPMCPndD+Pkb7XjhB7t6HNEK1pk6zAUSbS4PlVmNhz4E5ABPOTud8ZMzwb+DhwPFAHfdfdViQ01OZZv3ME/Zq3mubkFbN9bQt8urfnb9wfTvkV2qkNr0MxgWMYChmUsYP2/b+CVBet5af465hdsY+aKImauKNpfLq9dc3p3bkn3ds3Ja9eMrm2bcXirHDq1yqG5Er9IrVT7yTGzDOB+4GygAPjIzKa4++KoYtcAW9z9KDMbDfwe+G4yAl67dTebd+yrcJrzzY9p3MEJfohU5kE3AnuKS9m1r5SCLbtYWbiTz7/azrw1W/fPc1bvjvxx9EDVJBOsc+um/GDokfxg6JFs3rmPWSuLeH/5Juat2crSdZv5YtNOvthUcX/xzZtk0KZZEw5rnkWbpk1okZ1J8+xMWmRnkNMkg5zMDJo2yaBJRoSszAjZGREyM4yMiJGVESFiRmYkGI5EjIhBxAwzMILh8h+nBeOCv2D7h8tF/4jtwPE12x+GLtA3dk2bZHBUxxZJXUc8WewEYLm7rwQws6eAC4Ho5H4hMDF8/yxwn5mZJ+Gniw9OX8Fjs1YnbHlNszK4aOARXHliHn2OaJWw5UqUqAdstwXOm7iN8/p2BmDf7W1Z5rks81xWe0dWlx3Ol96RjbThKz+MnfuasHPfbtZu3Z2i4EUSb0DXNrzw41OSug6rLv+a2aXAcHf/QTh8JTDE3W+IKrMwLFMQDq8Iy2yKWdZ4YHw4eAzweS3jbg9sqrZUetE2Nw7a5sahLtvc3d07VFconpp7ReeQsd8I8ZTB3ScBk+JYZ9UBmc1x9/y6Lqch0TY3DtrmxqE+tjmeWyELgOiu/3KB2A6995cxs0ygNbA5EQGKiEjNxZPcPwJ6mlkPM2sCjAamxJSZAlwVvr8UeDsZ7e0iIhKfaptl3L3EzG4AXiO4FfIRd19kZr8C5rj7FOBh4DEzW05QYx+dzKBJQNNOA6Rtbhy0zY1D0re52guqIiLS8Kj7ARGRNKTkLiKShhpccjez4Wb2uZktN7MJqY4n2cysq5m9Y2ZLzGyRmf001THVBzPLMLNPzOzlVMdSX8ysjZk9a2afhf/vk1IdUzKZ2b+Hx/RCM3vSzHJSHVMymNkjZrYx/D1Q+bi2ZvaGmS0L/yb8Ac0NKrlHdYUwAugDjDGzPqmNKulKgF+4e2/gRODHjWCbAX4KLEl1EPXsT8Cr7t4L6E8ab7+ZdQF+AuS7+3EEN2sk+0aMVJkMDI8ZNwF4y917Am+FwwnVoJI7UV0huPs+oLwrhLTl7uvd/ePw/XaCD3xaP9DVzHKB84GHUh1LfTGzVsBpBHee4e773H1r1XM1eJlA0/C3Mc04+PczacHdZ3Dw734uBB4N3z8KXJTo9Ta05N4FWBM1XECaJ7poZpYHDAQ+TG0kSfdH4D+AxvQopyOBQuBvYXPUQ2bWPNVBJYu7rwXuBr4E1gPb3P311EZVrzq5+3oIKnBAx0SvoKEl97i6OUhHZtYCeA74mbt/nep4ksXMRgIb3X1uqmOpZ5nAIODP7j4Q2EkSTtUPFWEb84VAD+AIoLmZfS+1UaWXhpbc4+kKIe2YWRZBYn/c3Z9PdTxJdgowysxWETS7nWFm/0htSPWiAChw9/KzsmcJkn26Ogv4wt0L3b0YeB44OcUx1aevzKwzQPh3Y6JX0NCSezxdIaQVCzoRfxhY4u7/k+p4ks3d/9Pdc909j+D/+7a7p32Nzt03AGvM7Jhw1Jkc2K12uvkSONHMmoXH+Jmk8QXkCkR32XIV8GKiV9CgnkpRWVcIKQ4r2U4BrgQ+NbN54bhb3H1qCmOS5LgReDysuKwEvp/ieJLG3T80s2eBjwnuCPuENO2GwMyeBIYB7c2sALgduBN42syuIfiiuyzh61X3AyIi6aehNcuIiEgclNxFRNKQkruISBpSchcRSUNK7iIiaUjJXUQkDSm5i4ikof8PfZGwRr9aPwkAAAAASUVORK5CYII=\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "g = GammaHurdle()\n", "g.fit(values_nz)\n", "ks_result = scipy.stats.kstest(values_nz, g.cdf)\n", "ks_result\n", "\n", "x = numpy.linspace(0, 10, 100)\n", "y = g.pdf(x)\n", "\n", "plt.figure()\n", "plt.plot(x, y, linewidth=2, label='gamma fit')\n", "bars, _, _ = plt.hist(values_nz, density=True, label='true dist', bins=30)\n", "plt.legend()\n", "plt.ylim((0, 1.1 * max(bars[1:])));\n", "\n", "p_value = decimal.Decimal(ks_result[1])\n", "plt.title(f'{metapath} - {degree_combo} - p={p_value :.2E} - {len(values_nz)} nonzero values');" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "g = GammaHurdle()\n", "g.fit(values_nz)\n", "ks_result = scipy.stats.kstest(values_nz, g.cdf)\n", "ks_result\n", "\n", "x = numpy.linspace(0, 5, 100)\n", "y = g.cdf(x)\n", "\n", "plt.figure()\n", "plt.plot(x, y, linewidth=2, label='gamma fit')\n", "bars, _, _ = plt.hist(values_nz, density=True, label='true dist', bins=30, cumulative=True)\n", "plt.legend()\n", "plt.ylim((0, 1.1 * max(bars[1:])));\n", "\n", "p_value = decimal.Decimal(ks_result[1])\n", "plt.title(f'{metapath} - {degree_combo} - p={p_value :.2E} - {len(values_nz)} nonzero values');" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "g = GammaHurdle()\n", "g.fit(values_nz)\n", "ks_result = scipy.stats.kstest(values_nz, g.cdf)\n", "ks_result\n", "\n", "x = numpy.linspace(0, 5, 100)\n", "y = g.cdf(x)\n", "\n", "plt.figure()\n", "plt.plot(x, y, linewidth=2, label='gamma fit')\n", "bars, _, _ = plt.hist(values_nz, density=True, label='true dist', bins=30, cumulative=True)\n", "plt.legend()\n", "plt.ylim((0.7, 1.05));\n", "plt.xlim((2, 5))\n", "\n", "p_value = decimal.Decimal(ks_result[1])\n", "plt.title(f'{metapath} - {degree_combo} - p={p_value :.2E} - {len(values_nz)} nonzero values');" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python [default]", "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": "3.6.6" } }, "nbformat": 4, "nbformat_minor": 2 }