{ "cells": [ { "cell_type": "markdown", "id": "1c54c4b8", "metadata": {}, "source": [ "# Notebook to replicate the analysis proposed in the Section Data of the paper" ] }, { "cell_type": "raw", "id": "bdd43327", "metadata": { "raw_mimetype": "text/restructuredtext" }, "source": [ ".. admonition:: You will learn\n", "\n", " Reproduce the main analyses and figures from the HGX paper.\n" ] }, { "cell_type": "raw", "id": "b01beb0b", "metadata": { "raw_mimetype": "text/restructuredtext" }, "source": [ ".. admonition:: Source\n", "\n", " Lotito, Q. F., et al. *Hypergraphx: a library for higher-order network analysis.* Journal of Complex Networks 11.3 (2023). https://arxiv.org/pdf/2303.15356.pdf\n" ] }, { "cell_type": "markdown", "id": "57a977e7", "metadata": {}, "source": [ "## Overview\n", "\n", "- Reproduce key analyses from the Hypergraphx paper.\n", "- Generate figures and summaries for the main results.\n" ] }, { "cell_type": "markdown", "id": "85a868f8", "metadata": {}, "source": [ "## Setup\n" ] }, { "cell_type": "code", "execution_count": 2, "id": "c58eb631", "metadata": {}, "outputs": [], "source": [ "# Fix visualization settings\n", "params = {'figure.figsize': (7,6),\n", " 'font.family': 'serif', \n", " 'axes.labelsize': '29',\n", " 'axes.titlesize':'29',\n", " 'xtick.labelsize':'23',\n", " 'ytick.labelsize':'23',\n", " 'legend.fontsize': '20',\n", " 'hatch.color': 'white'}\n", "plt.rcParams.update(params)\n", "\n", "SIZE_TWO_COLOR = 'darkgrey'\n", "SIZE_THREE_COLOR = '#FFBC79'\n", "SIZE_FOUR_COLOR = '#79BCFF'\n", "hye_facecolor = {SIZE_TWO_COLOR: 'black', SIZE_THREE_COLOR: \"#C85200\", SIZE_FOUR_COLOR: \"#006BA4\"}" ] }, { "cell_type": "code", "execution_count": 1, "id": "d50169d9", "metadata": { "pycharm": { "name": "#%%\n" } }, "outputs": [], "source": [ "import sys\n", "\n", "import numpy as np\n", "import pandas as pd \n", "import networkx as nx\n", "import seaborn as sns\n", "import matplotlib.pyplot as plt\n", "\n", "import random\n", "sys.path.append(\"..\")\n", "import hypergraphx\n", "from hypergraphx import Hypergraph\n", "from hypergraphx.readwrite import load_hypergraph, save_hypergraph\n", "\n", "import warnings\n", "warnings.simplefilter(action='ignore', category=FutureWarning)" ] }, { "cell_type": "markdown", "id": "03a2f4b7", "metadata": {}, "source": [ "### Input data" ] }, { "cell_type": "code", "execution_count": 3, "id": "531840af", "metadata": { "scrolled": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Hypergraph with 327 nodes and 7818 edges.\n", "Distribution of hyperedge sizes: {2: 5498, 3: 2091, 4: 222, 5: 7}\n" ] } ], "source": [ "H = load_hypergraph(\"../test_data/hs/hs.json\")\n", "print(H)" ] }, { "cell_type": "markdown", "id": "23fb2da6", "metadata": {}, "source": [ "### A) Higher-order degree distributions for different orders" ] }, { "cell_type": "code", "execution_count": 4, "id": "cc33fe76", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def distr_bin(data, n_bin=30, logbin=True):\n", " ###This is a very old function copied from my c++ library. It's ugly but works :)\n", " \"\"\" Logarithmic binning of raw positive data;\n", " Input:\n", " data = np array,\n", " bins= number if bins,\n", " logbin = if true log bin\n", " Output (array: bins, array: hist) \n", " bins: centred bins \n", " hist: histogram value / (bin_length*num_el_data) [nonzero]\n", " \"\"\"\n", " if len(data)==0:\n", " print( \"Error empty data\\n\")\n", " min_d = float(min(data))\n", " if logbin and min_d<=0:\n", " print (\"Error nonpositive data\\n\")\n", " n_bin = float(n_bin) #ensure float values\n", " bins = np.arange(n_bin+1)\n", " if logbin:\n", " data = np.array(data)/min_d\n", " base= np.power(float(max(data)) , 1.0/n_bin)\n", " bins = np.power(base,bins)\n", " bins = np.ceil(bins) #to avoid problem for small ints\n", " else:\n", " data = np.array(data) + min_d #to include negative data\n", " delta = (float(max(data)) - float(min(data)))/n_bin\n", " bins = bins*delta + float(min(data))\n", " n_bin = int(n_bin)\n", " #print ('first bin: ', bins[0], 'first data:', min(data), 'max bin:', bins[n_bin], 'max data', float(max(data)))\n", " hist = np.histogram(data, bins)[0]\n", " ii = np.nonzero(hist)[0] #take non zero values of histogram\n", " bins = bins[ii]\n", " hist = hist[ii]\n", " bins=np.append(bins,float(max(data))) #append the last bin\n", " bin_len = np.diff(bins)\n", " bins = bins[:-1] + bin_len/2.0 #don't return last bin, centred boxes\n", " if logbin:\n", " hist = hist/bin_len #normalize values\n", " bins = bins*min_d #restore original bin values\n", " else:\n", " bins = bins - min_d \n", " res = list(zip(bins, hist/float(sum(hist)))) #restore original bin values, norm hist\n", " return list(zip(*res))\n", "\n", "#fig, ax = plt.subplots(figsize = (8, 4))\n", "# write three color pastel in a color dict\n", "color_dict = {2: SIZE_TWO_COLOR, 3:SIZE_THREE_COLOR, 4:SIZE_FOUR_COLOR}\n", "\n", "for size in [2,3,4]:\n", " if size == 2:\n", " logbin = False\n", " else:\n", " logbin = True\n", " degrees = list(H.degree_sequence(size=size).values())\n", " degrees = [d for d in degrees if d > 0]\n", " #print(degrees)\n", " if size == 2:\n", " n_bin = 8\n", " else:\n", " n_bin = 10\n", " bins, frequency =distr_bin(degrees, n_bin=n_bin, logbin=logbin)\n", " # print(bins)\n", " # print(frequency)\n", " # output of scatter in svg\n", " plt.scatter(bins, frequency, alpha = .9, label=\"Size: {}\".format(size), s = 150, c = color_dict[size],\n", " edgecolors=hye_facecolor[color_dict[size]])\n", "#plt.legend(frameon=False, loc = 'lower left', handletextpad =-.2 )\n", "# font size\n", "#plt.rcParams.update({'font.size': 20})\n", "# font serif\n", "#plt.rcParams['font.family'] = 'serif'\n", "# make the dots in the legen closer to the text\n", "\n", "plt.xscale('log')\n", "plt.yscale('log')\n", "plt.xlabel(\"Higher-order degree\")\n", "plt.ylabel(\"Frequency\")\n", "sns.despine()\n" ] }, { "cell_type": "markdown", "id": "274beb80", "metadata": {}, "source": [ "### B) Motifs " ] }, { "cell_type": "code", "execution_count": 5, "id": "c10a13ca", "metadata": {}, "outputs": [], "source": [ "from hypergraphx.motifs.motifs import compute_motifs" ] }, { "cell_type": "code", "execution_count": 6, "id": "e4476029", "metadata": {}, "outputs": [ { "data": { "image/png": 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yrDRhNvVnKZ/btq3hw4dr5cqVhFkAAABki9FAK10PtVOnTtVvv/2mnj17qnjx4rJtO91X8eLF1bt3b23atElffvmlvLy8TJcDAAAAN2d0ykF6rly5oo0bN+ro0aM6f/68JMnf3181a9ZUmzZt5O3tnZfDwyCmHAAAAFeU54EW7oNACwAAXJHxKQcAAABAfiLQAgAAoFAr0EB79epVjR8/Xvv27SvIMgAAAFCIGQ20derUUbFixRwvT09PffHFFxm2T0xM1BtvvKGmTZvqgQce0OnTp02WAwAAgCLAWKBdvny5/vrrrzTLciUnJzt1rm3bWrhwoVq0aMHdWgAAAGSLsUA7a9YsSdc3TShevLgGDx6sBQsWaMCAARmeU6pUKX311Vfq3LmzbNvW2bNn1aNHD0VHR5sqCwAAAG7O2LJdgYGBOnv2rIKCgrR48WI1atQoW+f//PPPevjhhxUfH6/nn39e7777romyYBDLdgEAAFdkJNAeOXJEt9xyizw8PLRlyxbddtttOepnwYIFeuCBB1SuXDlFRESwDa6LIdACAABXZGTKwd69eyVJHTp0yHGYlaS+ffuqefPmio6O1tatW02UBgAAADdnJNCeOnVKktS+fftc99WtWzdJ0v79+3PdFwAAANyfkUAbExMjy7JUqVKlXPdVrVo12batqKgoA5UBAADA3RkJtF5eXrJtW/Hx8bnu69KlS7Isi/mzAAAAcIqRQBsQECBJRtaQTZlqkNInAAAAkBkjgbZhw4aSpJ9++kkXLlzIcT9RUVFauHChJGV72S8AAAAUTUYC7a233qqAgADFxMRo2LBhSkxMzHYfSUlJGj58uKKjoxUQEKAWLVqYKA0AAABuzthOYcOGDZNt2/rpp5/UsWNHhYaGOn3ujh07dPfdd2vBggWyLEvDhw83VRYAAADcnLGdwqKiolSnTh1dvHjR8VmjRo3UrVs3NWrUSFWqVFGZMmUkSXFxcQoPD9e+ffu0YsUKxzq2tm3L399fhw8flq+vr4myYBAbKwAAAFdkLNBK0sqVK3XvvfcqKSlJKd1alpXpOamHL168uH755RfdfffdpkqCQQRaAADgioxNOZCkLl26aObMmSpVqpQsy3KEWdu2031J/wu8ZcqU0ezZswmzAAAAyBajgVaSHnroIW3atEl33333TcE19Uv6X9Dt3r27tm7dqvvvv990OQAAAHBzRqcc3Cg0NFQLFizQunXrdOzYMZ0/f16S5O/vr5o1a6pjx47q27cvKxoUEkw5AAAArihPAy3cC4EWAAC4IuNTDgAAAID8RKAFAABAoUagBQAAQKHmWRCDxsXF6YMPPtDSpUt1/vx5BQYGqkePHho5cqRj8wUAAADAGcYeCktMTFSfPn10+fJlx2d/+9vfNHDgwDTtIiIi1LFjR/3555+Sri/dlbKMV3BwsH755RfdcsstJkqCYTwUBgAAXJGxO7RLly7V0qVLZVmWI6Tec889N7V75JFHdOjQIUlKsyatJIWFhalHjx76/fffVbJkSVOlAQAAwI0Zm0MbEhIi6fod19q1a+u11167KdAuXbpUa9ascQRZ27ZVrFgxBQQEODZgCAsL03/+8x9TZQEAAMDNGQu0K1askGVZ6tmzp/bt26fXX39dTZs2TdPmk08+kSRHeB03bpxiY2MVERGhvXv3qmnTprJtW1OnTjVVFgAAANyckTm0Bw8eVIMGDVSmTBkdPXpU5cuXv6lNVFSUKleurMTEREnSwIEDNXPmzDRtjh49qvr16yshIUF79+5VgwYNclsaDGIOLQAAcEVG7tD+/vvvkqT77rsv3TArScuWLVNCQoLj7uyrr756U5vg4GB169ZNkrRnzx4TpQEAAMDNGQm04eHhkqRmzZpl2Gbp0qWSrj8Idvvtt2d49/W2226TdH01BAAAACArRgJtXFycLMuSj49Put/btq1ffvnF8f6hhx7KsK8KFSrItm3Fx8ebKA0AAABuzkigLVmypGzbVmxsbLrfb9y4UZGRkY73/fr1y7CvpKQkSZKXl5eJ0gAAAODmjATaSpUqSZL++OOPdL//9ttvJV2fbtCiRQsFBwdn2Fd4eLgsy5Kvr6+J0gAAAODmjATalOW5Fi9erCtXrqT5LiIiQt99951jA4XMphtI0oYNGyRJtWvXNlEaAAAA3JyRncIaN26s6tWr68SJExo8eLC+/PJL+fr66sSJExo4cKAuXbokSfLw8LhpK9zUQkNDtWnTJklSo0aNTJQGAABQIIaO/6KgS3B50yf8zUg/xjZWGDlypGzb1o8//qiKFSsqMDBQwcHB2rx5s6Tr0w369OmjGjVqpHv+zp079eCDD8q2bdWrV08VK1Y0VRoAAADcmLFAO2rUKN16662ybVsJCQk6c+aMUu/ZULp0af373/++6bx//vOfatWqlW6//XYdP35clmWpR48epsoCAACAmzMWaEuUKKFffvlF99xzT5rPbduWv7+/5s+fn+682CVLlig0NFTJycmOzx577DFTZQEAAMDNGZlDm6JChQpasmSJ9uzZow0bNig6Olo1a9ZUr169VKZMmXTPefrpp3X27FnH+zJlyqh58+YmyyoQERER+vLLL7Vw4UIdPXpUly5dUtWqVdW+fXsNGzZMHTp0MDZWx44dtW7dOqfbDxgwQLNnzzY2PgAAQEEyGmhTNG3a1LHyQVZGjhyZFyUUqHnz5mnEiBGKioqSn5+fevToIR8fH23atEnTp0/X9OnTNWLECH3yyScqUaJEQZcLAABQqOVJoC3KFi9erP79+yspKUmdO3fWvHnzVLZsWcf3H3/8sZ577jlNnTpV8fHxmjlzpmNJs9zw9PR0eqmzqlWr5no8AAAAV0GgNej8+fN69NFHlZSUpIoVK2ru3LlpwqwkPfPMM9q9e7emTp2qWbNmqUuXLho2bFiux65atWqGG1sAAAC4M2MPhUGaNGmSLl68KEl67rnnVK5cuXTbvfbaa467sq+++upNm1EAAADAeQRaQxISEjRjxgzH+8w2kKhevbratm0rSTp9+rQWL16c5/UBAAC4KwKtIatWrVJUVJQkqVKlSlnOZ00JtJI0d+7cPK0NAADAnTGH1pCtW7c6jhs3bpxl+yZNmqR7bm4dOHBAv/32m06cOKHExET5+fmpbt26at++vcqXL29sHAAAAFdBoDXk999/dxxXq1Yty/apVxoICwtTXFxchmv1OiMmJkYdOnTQhg0b0v3e09NTgwYN0qRJk1S9evUcjwMAAOBqmHJgyKlTpxzHAQEBWbavWLGi49i2bZ0+fTpX40dFRWnr1q166aWXtHPnTsXFxSk2Nlbbtm3TyJEjZdu2vv32W7Vo0ULr1693qs+rV68qJiYmzQsAAMDVcIfWkNjYWMext7d3lu29vLwyPD8nypUrpxUrVqhly5ZpPm/ZsqVatmypDh066OGHH9aFCxfUp08fhYaGZjnPd8qUKZowYUKu6gIAAMhr3KE15NKlS45jZ3b/ujHQpj4/u5YvX67IyMibwmxqgwYNcqy8cPHiRY0ZMybLfseOHavo6GjH68SJEzmuEQAAIK8QaA0pVaqU4/jatWtZtr+xTerzs6tEiRLy9Mz6ZvuTTz7pOJ43b57Onz+faXsvLy+VLVs2zQsAAMDVEGgN8fHxcRw7s1HCjW1Sn59XWrdurWLFikmSkpOTnZ5LCwAA4MoItIakXtkgMjIyy/ap21iWpcDAwDypK7WSJUvKz8/P8T71g2wAAACFFYHWkNRrz548eTLL9qnDZM2aNXO1ZFd2pJ7fy5a7AADAHRBoDWndurXjeO/evVm2T71ubatWrXI8bnR0tM6dO6fk5GSn2l+8eNFx7O/vn+NxAQAAXEWeB9ro6GitXLlSM2fO1EcffZTmO3e6Q9ipUyfHX+efOXNGf/31V6btN27c6Dh+8MEHczxunz59FBAQoD/++CPLtn/99Vea1RSaNWuW43EBAABcRZ4E2qtXr2rq1Km69dZb5e/vr+7du2vw4MH6xz/+kabdqlWrFBgYqH/+8586d+5cXpSSb4oXL64hQ4Y43s+ePTvDtidPnnQE2sDAQPXs2TPX4+/ZsyfLNgsWLHAcBwUFqUWLFrkeFwAAoKAZD7S7d+9Ws2bN9OSTT2rXrl1KTk6WbduybTvd9mfOnNE777yjW265JU3gKoxeffVVlStXTpL04YcfKjo6Ot12b7zxhmOKwKRJk9LdiOH8+fPq0qWLfHx89PDDDyshISHTsT/88EMlJSVl+P358+f173//2/H+tddek2VZWf1IAAAALs9ooN22bZvatWunP//8U7Zty7Isxys9/v7+8vX1lW3bio6O1oMPPqiQkBCTJeUrf39/ffvttypWrJjOnDmjhx566KbtYj/99FN9+eWXkq5vdvD444+n29d7772nVatWKS4uTrNmzdK3336b6dibNm3SI488oqioqJu+O3TokLp27aozZ844xh0xYkROfkQAAACXY2zr2+joaPXt21eXLl1KE2Br1qypChUqaOfOnUpMTExzzh133KGzZ8/qm2++0dixY3Xu3DkNGzZMbdq0UfXq1U2Vlq969eqlkJAQPfHEE1qxYoVq1qypHj16yMfHR5s2bdLu3bslScOHD9enn36aYdi/8Y52Rne4+/Xrp0OHDun06dMKCQnRTz/9pI4dO6pWrVpKSkrSgQMHtGHDBiUmJsrT01NjxozR66+/zt1ZAADgNiw7o6SUTa+//romTpwoy7JUo0YNjR8/Xg888IBjw4DAwECdPXs2w78WP3HihO666y4dO3ZMQ4cO1bRp00yUVWAiIiL0xRdfaMGCBTp69KguX76sKlWqqH379ho+fLjuvPPOTM8/d+6c+vfvr61bt6pnz5769ttvM9xSNzExUevXr9fSpUsVGhqqgwcP6sKFC5IkPz8/NWjQQB07dtSwYcPSrJebXTExMfL19VV0dDS7hgEAkIWh478o6BJc3vQJfzPSj7FAW7lyZUVGRqpdu3ZaunSpSpcuneb7rAKtJG3evFlt27ZVmTJldPbs2XTnlqLgEGgBAHAegTZrpgKtkTm0+/bt09mzZ1WyZEmFhITcFGaddccdd6hdu3aKj4/Xjh07TJQGAAAAN2ck0O7atUuS1LNnz1xv4dqxY0dJ0v79+3NZFQAAAIoCI4H2/PnzkqRbb701131VqlRJtm2n+7Q+AAAAcCMjgTZlZYOcTjVILS4uTlLGT/UDAAAAqRkJtP7+/rJtWydOnMh1X/v375dlWQoICDBQGQAAANydkUCbsmbs4sWLc9VPbGyso49atWrlui4AAAC4PyOBtkOHDipRooQOHDigTz75JMf9vPDCC4qKilKpUqXUtm1bE6UBAADAzRkJtKVKldK9994r27b1j3/8Q++880625sBGR0fr8ccf17Rp02RZlu6//34VL17cRGkAAABwc0YCrSRNnDhRHh4eSk5O1j//+U/VqVNHkydP1pYtWxwPeqW4du2ajh49qp9++kkjR45U7dq19c0330iSPD09NX78eFNlAQAAwM15muqocePGmjhxol599VVZlqWwsDCNGzdO48aNS9OuRIkSN+0WlnI317Is/fvf/1bt2rVNlQUAAAA3Z+wOrSS9/PLLeuaZZ2TbtizLkm3bN70SExPTvJeuB1lJeumll/T888+bLAkAAABuzmiglaQPP/xQX3/9tcqVK+f4zLKsdF/S9buz/v7+mjlzpt58803T5QAAAMDNGQ+0kjRkyBAdO3ZMb7/9ttq1aydPT8+b7tQWL15cHTp00HvvvaejR49q0KBBeVEKAAAA3JyxObQ3KlOmjEaPHq3Ro0frypUrOnXqlM6fPy/LsuTv76+qVavKy8srr4YHAABAEZFngTY1b29v1a5dm4e9AAAAYFyeTDkAAAAA8guBFgAAAIWa0SkHe/fu1YULF9J8VrduXVWuXDnd9pcuXVKPHj00cOBAPf744/L29jZZDgAAAIoAY3dor1y5ojvvvFN33313mteiRYsyPMe2bf3666965plnVKdOHS1fvtxUOQAAACgijAXakJAQXbx48aZNE0qVKpXhOanXog0PD9e9996r2bNnmyoJAAAARYCxQDtv3jxJ10Nq7dq19dVXX+nChQt69NFHMzynVKlSCgsL08SJE1WuXDklJyfr8ccf16FDh0yVBQAAADdnJNAmJCRo9erVsixLd999t/bs2aOhQ4fK19c3y3Nr1KihV199VXv27FHdunV17do1vfLKKybKAgAAQBFgJNAeOHBA8fHx8vb21syZM1WyZMls91GtWjX9+OOPsixLixYtUlRUlInSAAAA4OaMBNr9+/dLknr06KFKlSrluJ9GjRqpS5cuSkxM1ObNm02UBgAAADdnJNBGRkZKkm699dZc99WuXTtJ0pEjR3LdFwAAANyfkUAbGxsry7KcmjOblfLly8u2bcXGxhqoDAAAAO7OSKAtW7asbNs2Mu81KipKlmXJx8fHQGUAAABwd0YCbcWKFSVJmzZtynVfKXNnU/oEAAAAMmMk0LZq1UqStHLlSu3bty/H/ezfv9+xW1jr1q1NlAYAAAA3ZyTQBgcHq27dukpISNBDDz2kkydPZruP8PBwPfTQQ0pMTFS9evVUo0YNE6UBAADAzRnbKeyFF16QJB08eFDNmjXTf/7zH507dy7L886fP693331XzZo104EDB2RZlkaPHm2qLAAAALg5y7Zt20RHSUlJatGihfbt2yfbtmVZljw8PNSsWTM1atRIVapUUZkyZSRJcXFxCg8P1759+7R7924lJyc7zmnWrJlCQ0Pl4WEsa8OQmJgY+fr6Kjo6WmXLli3ociBp6PgvCroElzZ9wt8KugQARRi/o7Nm6ve0p5FeJBUrVkyLFi1Sq1atdP78edm2raSkJO3YsUM7d+5M95wbs3TFihW1cOFCwiwAAACcZjQ5BgcHa8OGDapfv74kybIsWZYl6Xp4Tf268fsmTZpow4YNCgoKMlkSAAAA3JzxW6F169bVtm3bNHHiRMcmCenNakj5PCAgQFOmTNHmzZtVu3Zt0+UAAADAzRmbcpBaqVKl9Oqrr+qll17Sr7/+qnXr1unYsWM6f/68JMnf3181a9ZUx44d1a5dO5UoUSIvygAAAEARkCeBNoWXl5e6dOmiLl265OUwAAAAKMJ4+goAAACFmssF2lOnTun48eMFXQYAAAAKiTydcpATLVu2VGRkpBITEwu6FAAAABQCLneHVrp5fVoAAAAgIy4ZaAEAAABnGZ9ykJCQoEWLFmn16tXat2+fLly4oPj4eKfvukZGRpouCQAAAG7MaKD95ZdfNGLECJ0+fdrxWU6mD6TsHgYAAABkxVigXb16tXr37u14mCsllFqWxZxYAAAA5Bkjgda2bT377LNKTEx0BFnbtuXp6amgoCBVqFBBJUuWdOrO68aNG1nhAAAAAE4zEmh3796tAwcOOAJro0aNNHnyZHXt2lXe3t7Z6iswMFBnz541URYAAACKACOBNjQ0VNL1u7KBgYHasGGDypYta6JrAAAAIFNGAu25c+ckXZ8v+9hjj+UqzFarVi3bd3UBAABQdBkJtCVKlHAc169fP1d9bdu2LbflAAAAoAgxsrFCo0aNHMfJyckmugQAAACcYiTQ3n333QoICJAk7du3z0SXAAAAgFOMBNoSJUpoypQpsm1bs2bNUlxcXI77CgwMlKen8Q3MAAAA4KaMBFpJGjZsmF588UVFRERowIABunz5co77YiMGAAAAOMvordB///vfuu222zR69GjVr19fL7zwgnr27Kk6deqYHAYAAOTC0PFfFHQJLm36hL8VdAnIJmOBtlatWo7jpKQkhYeH64UXXtALL7wgLy8v+fn5ycvLK8t+IiMjTZUEAACAIsBYoD169Kgsy5Jt27Isy3EsSVeuXNHp06ed7suZLXIBAAAAyfCUgxTMgQUAAEB+MR5oGzRooIoVK+b4/I0bNyoxMdFgRQAAAHBnxgPt+PHj1b9//xyfHxgYqLNnzxqsCAAAAO7M2LJdAAAAQEFwuUDL/FsAAABkh7EpBzt37pQkBQcH56qfiIgIA9UAAACgqDAWaJs1a2aqKwAAAMBpLjflYPPmzVq/fn1BlwEAAIBCIk/Woc2N+++/X5GRkSzdBQAAAKe43B1aiQfDAAAA4DyXDLQAAACAs/JkysHRo0f15ZdfavXq1QoLC9OFCxeUlJTk1Lm2bcuyrLwoCwAAAG7IeKCdMGGCpkyZooSEBElMHwAAAEDeMhpoR48erffff19S2iCbcsc1o3Cb+o4sARgAAADZYSzQrlq1Su+9954sy5Jt22rcuLEaNWokb29vhYSE6OrVqxoyZEiac5KTkxUREaHNmzcrNjZWHh4e6t+/v7y9vU2VBQAAADdnLNC++eabkiRfX1+FhISoa9euju9++eUXnT17Vl9//XW6516+fFlTpkzRv/71LyUkJGjWrFmmygIAAICbM7LKwYULF7Rq1SpZlqXvvvsuTZh1RsmSJTVx4kS9++67mj9/vmbMmGGiLAAAABQBRgLt1q1bJUlNmzbVvffem+N+nnvuOdWvX18TJkwwURYAAACKACOB9tixY5KkTp065bqv3r1769ixY9q3b1+u+wIAAID7MxJoo6KiZFmWgoKC0v0+q1UOUqtataokafv27SZKAwAAgJszEmiLFSuW6felS5eWdH2ubVbi4+MlSZGRkbkvDAAAAG7PSKAtV66cbNvWiRMnMvxeknbu3JllX1u2bJEkp3cWAwAAQNFmJNDWrVtXkrR27dp0v69fv75s29ZXX32VaT9//vmnFi9eLEny9/c3URoAAADcnJFA27RpU3l4eGjXrl1asmTJTd/ffvvtkqSQkBB9/vnn6fZx7Ngx9e3b17FlbvPmzU2UBgAAADdnJND6+fmpRYsWsm1b/fv31/fff+8IppL00EMPycPj+lB///vf1bp1a02cOFHTpk3Txx9/rCFDhqhhw4b6448/JF1/MKxFixYmSgMAAICbM7ZTWJ8+fbR9+3ZdvnxZjz32mN555x3t2LFDkhQYGKghQ4Y4dgrbtm2bQkND05yfsgKCZVl66aWXHAEYAAAAyIyx1Dh48GBJ14OpbduKi4tL8/2///1v1alTR9L10JrSLnWQlaQePXro2WefNVUWAAAA3JyxQFu9enUlJiYqISFBCQkJjukDKfz9/bVmzRp17NjxpvVobduWh4eHnnnmGc2fP99USQAAACgCjE05kJTlNIGqVatq9erV2rJli5YvX67w8HB5eXmpbt266tWrl6pXr26yHAAAABQBRgOts1q3bq3WrVsXxNAAAABwMzx5BQAAgELN5QLtgQMHtGfPnoIuAwAAAIVEgUw5yEynTp0UGRmpxMTEgi4FAAAAhYDL3aGVdNMqCAAAAEBGXDLQuoOIiAi98cYbatmypSpUqKBSpUrplltu0eOPP65ff/01z8ZdvHix+vfvr5o1a8rb21uVKlVS27Zt9e677+rixYt5Ni4AAEBBcWrKQadOnfK6DocLFy7k21h5Zd68eRoxYoSioqLk5+enHj16yMfHR5s2bdL06dM1ffp0jRgxQp988olKlChhZMyLFy9q6NChWrhwoSSpTZs26tGjhyIjI7VkyRJt2rRJ7733nmbOnKk777zTyJgAAACuwKlAu3btWsdOXnnNtu18GysvpNwhTUpKUufOnTVv3jyVLVvW8f3HH3+s5557TlOnTlV8fLxmzpyZ65/36tWr6tu3r9atW6cSJUpo1qxZeuCBBxzfnz59Wvfcc4/27Nmje++9V+vWrdNtt92WqzEBAABchfEpB6m3s82P81zJ+fPn9eijjyopKUkVK1bU3Llz04RZSXrmmWc0fPhwSdKsWbP09ddf53rcSZMmad26dZKk8ePHpwmzkhQYGKh58+bJ29tb8fHxGjBggK5du5brcQEAAFyB04HWw8ND1atXz/JVtWpVWZblCKi2batkyZKqXLmyo02lSpVUsmTJNG0sy1KNGjVUo0aNQrtj2KRJkxzzVJ977jmVK1cu3Xavvfaa467sq6++qitXruR4zNOnT+s///mPJKls2bIaNWpUuu1q166tRx55RJJ05MgRffbZZzkeEwAAwJU4HWgDAgIUFhaW6WvLli2qVauWbNvWfffdpzlz5ujUqVOKi4vTqVOnHO3Cw8Mdn82dO1e9e/eWbdtq3ry5du3apbCwsLz8mfNEQkKCZsyY4Xg/cODADNtWr15dbdu2lXQ9kC5evDjH486cOVOXL1+WJPXu3VslS5bMsG3qmqZOnZrjMQEAAFyJsSkHly9fVseOHbVnzx4tX75cCxcuVL9+/RQYGJjhOYGBgXrggQe0YMECrVy5UuvWrVOXLl2UkJBgqqx8s2rVKkVFRUmSKlWqpNq1a2faPiXQStLcuXNzPG7qc1P3mZ7WrVvLw+P6P/K9e/fq4MGDOR4XAADAVRgLtGPHjtXBgwf1ww8/qEuXLtk+v1OnTvrhhx+0fft2vfrqq6bKyjdbt251HDdu3DjL9k2aNEn33OxITEzUzp070+0zPT4+PgoODs71uAAAAK7EqUD7008/6dtvv83w+2vXrmn69Olq166dunbtmuNiunTpovbt22vq1KmF7i7t77//7jiuVq1alu2rVq3qOA4LC1NcXFy2xzx48GCah7uyO27qmgEAAAorpwJtz5491blz5wy/X7dunWJiYoysV9upUyddvHhR69evz3Vf+enUqVOO44CAgCzbV6xY0XFs27ZOnz6dqzFzMu6N59/o6tWriomJSfMCAABwNU6tQ5uV48ePS5IqVKiQ6778/f0lSceOHct1X/kpNjbWcezt7Z1ley8vrwzPz8mYORk3qzGnTJmiCRMm3PT5gAEDVLx48QzPi9y0Kcs6irqANm0KuoQioXfvn430w7/TmTP17zPXOWv87sgfpn53IGvOXOtFixZl2cZIoI2MjEzzv7lx7tw5Y33lp0uXLjmOndn968ZAm/r8nIzp4eGhYsWKZWvcrMYcO3asXnjhBcf7mJgYBQUFKSQk5Kb1dVNbnotpJ0VFNyf+44Tr4N/pzJn695nrnDV+dwDpM/JQWMp6qytWrMh1X8uXL5ck+fr65rqv/FSqVCnHsTObFtzYJvX5ORkzOTlZSUlJ2Ro3qzG9vLxUtmzZNC8AAABXYyTQ1qxZU5K0ZcsWLVy4MMf9zJs3T1u2bEnTZ2Hh4+PjOHZmo4Qb26Q+Pydj5mTcnIwJAADgaowE2o4dO8rHx0e2beuRRx7RDz/8kO0+vv/+ew0ePFiSVKZMGd19990mSss3qVcYcGa6ROo2lmVlul6vM2PmZNzUKx4AAAAUVkYCrZeXl5544glJ1+dlDho0SG3atNFnn32mgwcPpvtX4YmJiTpw4IA+/vhjtW7dWo899pguXboky7L05JNPOjUP1ZWkXnv25MmTWbZPvcJAzZo1VaZMmWyPWbdu3TTXKbvjZrVuLQAAQGFg5KEwSZowYYLmz5+vo0ePyrZtbd261bFwv6enpypUqKDSpUvLtm3Fx8fr/PnzSkxMlHR92aoUNWvW1Pjx402VlW9at27tON67d2+W7VOvAduqVascjenp6albb71Vmzdvdozbvn37DNvHxcWl2VY4p+MCAAC4EmM7hZUuXVorV65UlSpVHJ/Zti3btpWQkKDTp0/r8OHDOnLkiCIiIpSQkOD43rIsSdf/Cn3VqlUqXbq0qbLyTadOneTn5ydJOnPmjP76669M22/cuNFx/OCDD+Z43H79+qXbZ3q2bNmi5ORkSdfvKNerVy/H4wIAALgKY4FWun53dceOHerbt6/jrqtlWZm+pOvB9/7779f27dtVo0YNkyXlm+LFi2vIkCGO97Nnz86w7cmTJx3hMzAwUD179szxuI888ohKliwpSVq4cKEuX76cYduQkBDH8YgRI3I8JgAAgCsxGmil67tVzZs3Txs2bNDAgQNVrlw5x53YG19+fn56+OGH9dtvv+nHH390aqcrV/bqq686ljD78MMPFR0dnW67N954w3GndNKkSeluiHD+/Hl16dJFPj4+evjhhzPcCjgwMFCjR4+WdH2d2A8++CDddmFhYfruu+8kSbVr19bIkSOz9bMBAAC4KmNzaG/Utm1btW3bVpJ08OBBHT9+XFFRUZIkPz8/1ahRQ3Xr1s2r4QuEv7+/vv32W/Xt21dnzpzRQw89pLlz56ZZv/XTTz/Vl19+KUkaNGiQHn/88XT7eu+997Rq1SpJ0qxZs9SlSxcNGzYs3bavvvqq1q9fr/Xr1+v1119X/fr11bdvX8f3p0+f1gMPPKDLly+rdOnSCgkJKXQP3QEAAGQkzwJtavXq1Ssy8zV79eqlkJAQPfHEE1qxYoVq1qypHj16yMfHR5s2bdLu3bslScOHD9enn37qmHZxo9QPyqX3PjUvLy8tXLhQQ4YM0aJFi3T//ferXbt2atasmSIjI7V48WJdunRJ1apV03fffafbbrvN3A8MAABQwPIl0BY1/fr1U7t27fTFF19owYIFWrJkiS5fvqwqVapo8ODBGj58uO68885M+xg1apQ2bdqkrVu3qmfPnnrssccybV+uXDktXLhQP//8s6ZPn67Q0FCFhobKx8dHTZs2Vb9+/TRixAjHlAgAAAB3YdmZ3forAO+++67i4uI0bty4gi4FN4iJiZGvr6+io6Mz3QaX/diz1s3ANtHIP/w7nTlT/z5znbPG7w4gfcYfCsutt99+WxMmTCjoMgAAAFBIuFygBQAAALIjT+fQHj16VBcuXFB8fHymDzWldu3atbwsCQAAAG7GeKBdvHixPv/8c61bt07x8fHZPj/1zmEAAABAVowF2uTkZA0ZMkTff/+9pMyXmQIAAABMMTaHdsKECZo5c2aaLW8BAACAvGbkDm18fLzeffddR4i1bVuVKlVS586dVa9ePVWoUEElS5Z0KuQ+//zzio2NNVEWAAAAigAjgfbXX39VfHy8I7C+8sorGjdunIoXL57tvsaMGUOgBQAAgNOMBNrDhw87jtu3b6833njDRLcAAABAlowE2piYGMdx7969c9XXiy++qLi4uNyWhALETjYAACA/GQm0/v7+juPKlSvnqq/Ro0fnthwAAAAUIUZWOWjbtq3jOCoqykSXAAAAgFOMBNomTZqoXbt2kqT169fnqq85c+bom2++MVEWAAAAigBj69B+8cUXKl26tObPn69t27bluJ/nnntOw4YNM1UWAAAA3JyxQNugQQOtWLFCAQEB6tGjh37++ecc98UuYwAAAHCWsa1vU6YafPLJJ5o0aZL69OmjJk2aqFevXmrcuLH8/f3l5eWVZT/Xrl0zVRIAAACKAGOBtmPHjml2ArNtW3v27NHvv/+erX5s22bbXAAAADjNWKCV/jdVwLKsm8ItAAAAkBeMBlrLsmTbNgEWAAAA+cZooJWkp556Sq1bt87x+c8//7xiY2MNVgQAAAB3ZjzQduzYUf3798/x+WPGjCHQAgAAwGnGlu0CAAAACoKxO7RNmzaVZVny8/PLVT/9+/dXTEyMoaoAAADg7owF2l27dhnp54MPPjDSDwAAAIoGphwAAACgUHO5QLt8+XItWrSooMsAAABAIWF8lYPcGjJkiCIjI5WYmFjQpQAAAKAQcLk7tBI7iwEAAMB5LhloAQAAAGcZm3JQq1YtI/1ERkYa6QcAAABFg7FAe/ToUVmWZWS6gGVZBioCAABAUVBgD4XdGFqZNwsAAICcMBpoixcvrjZt2mTZLiEhQTExMTpy5IguX74sSfL391fjxo1NlgMAAIAiwGigLV++vNasWeN0e9u2tW3bNv33v//VN998o/r16+s///mPSpUqZbIsAAAAuLECXYfWsiy1atVKrVq10oABA9S3b1/99ddfWrJkiYoVK1aQpQEAAKCQMLZsV/Xq1RUUFJTj87t166ZXXnlFK1as0Msvv2yqLAAAALg5Y4H26NGj2rJlS676eOKJJyRJH374oS5evGigKgAAALg7l9pYoWLFivL19dW1a9e0cuXKgi4HAAAAhYBLBVpJSkpKkiSFhYUVcCUAAAAoDFwq0IaFhSkuLq6gywAAAEAh4lKBdvLkyY7jihUrFmAlAAAAKCwKdNkuSbp48aK2bNmizz//XIsWLXJ83rp16wKsCgAAAIWFsUBbq1atbLW/du2a4uLiFBsb6/jMtm3H2rT169c3VRoAAADcmLFAe/ToUVmWJdu2c3S+ZVmSpNKlS+vTTz81VRYAAADcnMvMobVtW82aNdOaNWvUokWLgi4HAAAAhYTRObTFixdXmzZtnGprWZZKlSql8uXLq2HDhurUqZNatWplshwAAAAUAUYDbfny5bVmzRqTXQIAAACZcpkpBwAAAEBOEGgBAABQqBmbcpCcnGyqKwAAAMBp3KEFAABAoUagBQAAQKGWp1vfHj9+XMuWLdOmTZt04sQJXbhwQZZlyc/PT9WrV1ebNm3UvXt3BQUF5WUZAAAAcGN5Emj37dunV155RYsXL04ztzZlF7GUXcGmT58uDw8P3XfffZo0aZIaNmyYF+UAAADAjRmfcvDhhx+qZcuW+umnn5SUlJRmK1zLshxhVroecJOSkrRw4ULddttt+vDDD02XAwAAADdnNNC++eabGjVqlK5evSrpf3dibdtO95W6zdWrVzVq1Ci99dZbJksCAACAmzM25eC3337TK6+8Iul6SLVtW76+vrrzzjtVv359BQYGqkyZMrJtW/Hx8QoPD9eBAwf066+/KiYmxnHOyy+/rPbt26tdu3amSgMAAIAbMxZoR40a5bjr2qBBA02aNEn33XefPD0zHyIxMVHz58/XuHHjdPDgQdm2rdGjR2vz5s2mSgMAAIAbMzLl4MiRIwoNDZVlWerWrZu2bdum+++/P8swK0menp566KGHtH37dnXu3FmStG3bNh05csREaQAAAHBzRgJtyt1UX19fff/99ypVqlS2+yhVqpRmzZolX19fSdKmTZtMlAYAAAA3ZyTQnj59WpJ0//33q3z58jnup0KFCnrggQckSRERESZKAwAAgJszEmiLFy8uSUbWkU3pI6VPAAAAIDNGAm3lypVNdJNGYGCg8T4BAADgfowE2ttuu02SdOjQoVz3dfDgQUlSy5Ytc90XAAAA3J+RQFunTh3deuutWrBggeLi4nLcT1xcnBYsWKDbb79dtWrVMlEaAAAA3JyxncLeeecdnT9/XiNHjkyz3W12PP3007p48aLef/99U2UBAADAzRkLtB07dtRbb72lWbNmqXv37tq7d6/T5+7bt0/du3fXDz/8oM8//1x33HGHqbIAAADg5pzaKeybb75xqrOAgAA9+OCD+uGHH9SsWTM1adJEbdu2VZ06dVS2bFmVKFFCknTt2jXFxMTo8OHD2rRpk/bs2SNJevLJJ+Xp6alvvvlGgwcPzuGPBAAAgKLEsp2YH+Dh4SHLspzuNHWXWZ2XUdukpCSnx0P+iImJka+vr6Kjo1W2bNmCLgfIN8u7di3oElxatxUrjPTDdc6aqWsNuBun7tCmcGZurGVZGYbYlPNTf39jW9u2sxWeAQAAULRlK9A6w5nQm9OHxgAAAIAbOR1o/fz89OOPP+ZlLbJtW/369dPFixfzdBwAAAC4D6cDbYkSJXTXXXflZS2OcQAAAABnGVu2CwAAACgITt2hvfPOO1WhQoW8rkWS1KZNG0VFReXLWAAAACj8nAq0a9euzeMy/mfevHn5NhYAAAAKP6YcAAAAoFBzuUAbGBgoT0/jq4kBAADATblcoJVYpxYAAADOc8lACwAAADgrT/5u37ZtrVy5UqtXr1ZYWJguXLigxMREp869cOFCXpQEAAAAN2U80K5atUrPPPOMDh06lKPzbduWZVmGqwIAAIC7MhpoZ82apaFDhyoxMTHdebAEVQAAAJhmLND++eefeuKJJxxh1rIsVaxYUd7e3jpx4oRs21b16tXTnJOcnKxz587p8uXLkiQPD4+b2gAAAACZMfZQ2OTJk3Xp0iVZlqWxY8fqzJkzOn36tMLCwhQQECBJCgsLS/M6duyYYmNjtW7dOt11112ybVsjR45UWFiYqbIAAADg5owE2itXrigkJESWZWny5MmaPHmy01vlenh4qEOHDlq9erUefvhhjR07Vhs2bDBRFgAAAIoAI4F2+/btunr1qgIDA/XSSy/lqA/LsvTf//5XAQEBGjt2rImyAAAAUAQYCbQHDx6UJN17773y8Mh5l6VKldIDDzygjRs3Kjw83ERpAAAAcHNGAm1UVJQkqW7duul+n53VDerVqydJTDsAAACAU4wE2mvXrsmyLHl7e6f7fcrnsbGxWfaVnJwsSYqIiDBRGgAAANyckUDr6+sr27YznCZQtmxZSdIff/yRZV/79++XJF26dMlEaQAAAHBzRgJtcHCwJGnXrl3pfl+zZk1J0rx58zLtJzY21tHG19fXRGkAAABwc0YCbZMmTSRJy5cv1+HDh2/6vkWLFrJtWx9++KF27NiRbh+JiYkaOnSoYz5u/fr1TZRWII4cOaIxY8aoSZMmKleunHx8fFS/fn0988wzGYb+3AgODpZlWU6/xowZY7wGAACAgmIk0AYFBalWrVpKTk5Wr169dPz48TTf9+3bV9L19WrvuusujRkzRuvXr9eRI0e0d+9eff3112rZsqUWLFggSSpdurTuuOMOE6Xlu88++0xNmjTRW2+9pQsXLqhPnz4aMGCAkpKS9Mknn6hly5Z67bXX0t0aGAAAANlnbOvbe++9Vx9//LH+/PNP1alTR48++qi++uorSVLTpk3VoUMHbdiwQfHx8Xr77bf19ttvpzk/JeBZlqVhw4apZMmSpkrLN//973/19NNPS5IeffRRTZ06VV5eXpKkpKQkvfLKK3rrrbc0adIkJSYmasqUKcbGLlmypNPbBlesWNHYuABgSrcVKwq6BACFlGUbulUYGhqqVq1aOd7XqVNHhw4dcrz//fff1bZtW8fDXjcOa1mWbNtWrVq1tHPnTvn4+JgoK98cPHhQjRs3VmJioho1aqSdO3eqePHiN7Xr1q2bVvz/X9qrVq1Sp06dcj12cHCwgoODtXbt2lz3lZmYmBj5+voqOjra8aAfUBQs79q1oEtwaQRRAAXN2B3ali1bavXq1UpKSpJ0fZOE1Jo0aaKFCxdq4MCBOnfunKT/rU9r27Zs21azZs20aNGiQhdmJWnMmDFKTEyUJI0dOzbdMCtJ48aNcwTa0aNHa+fOnflWIwAAgDsydofWWRcuXNAXX3yhFStWKDw8XF5eXqpbt6769u2rgQMH5mqnsYJy5swZVa1aVUlJSSpRooSioqJuCvSpBQUF6eTJk5Ku39m+7bbbcjU+d2iBvMUd2sxxhxZAQTN2h9ZZ5cuX15gxY9zqSfv58+c77kw3b9480zArSW3atNGcOXMkSXPnzs11oAUAACjK8j3QuqOtW7c6jlOWMMtMkyZNHIE29bkm7NixQ1u2bFF4eLhs25a/v78aNWqktm3bqkyZMkbHAgAAcAUEWgN+//13x3G1atWybF+1atV0z82NY8eOqWnTphn2V7JkSQ0fPlwTJ06Un5+fkTEBAABcQeGbsOqCTp065TgOCAjIsn3qZbMiIyOVkJCQ6xqOHj2qY8eOadKkSdq/f78uXbqkixcvav369Ro4cKAuX76sjz/+WM2bN3dsL5yVq1evKiYmJs0LAADA1RBoDYiNjXUce3t7Z9k+ZW3a9M7PqerVq2vXrl165ZVX1KBBA5UsWVK+vr7q0KGDZs2a5Vjz9vjx4+rZs6cuXLiQZZ9TpkyRr6+v4xUUFJTrOgEAAExz+ykHc+bM0fbt2431d//996t169ZpPktZW1eSSpQokWUfNwbaS5cuqXz58jmu6eDBg/L09FSxYsUybPPPf/5TCxcu1ObNm3X06FFNmTLlps0tbjR27Fi98MILjvcxMTGEWgAA4HLcPtAuXrxYM2bMMNZfcHDwTYG2VKlSiouLkyRdu3Ytyz5ubJPVqghZuTEgp8eyLD355JPavHmzJGnatGl66623Ml0mzcvLy6m+AQAAChJTDgxIvRHElStXsmx/Y5v82kiibdu2juOoqCjt3r07X8YFAADIS24faKdPn+7YiczE66mnnrppjNQrG0RGRmZZU+o2AQEBGe4qZlrq1RWktA+zAQAAFFZuH2jzQ+PGjR3HKTuAZSZ1kHRm3VpTbpzf68zdZAAAAFdHoDUg9ZzavXv3Ztk+9VqxrVq1ytXYUVFROnfunNNtU/P398/V2AAAAK6AQGtA3759HSsM7Nq1S5cvX860/aZNmxzHDz74YK7GbtGihQICAtKstJCR1GHbw8MjX+8OAwAA5BWnAu2xY8fUqVMnx2vSpEl5XVehUqlSJd13332Srm9GMH/+/Azbbty4USdOnJB0PYzedtttRmrYs2dPlm0WLFjgOG7Tpo0qVKhgZGwAAICC5FSgnTdvntauXat169Zp7dq1Tu80VZS8+eab8vS8vgralClTlJiYmG67iRMnOo7feeedDPv766+/1KpVK5UtW1ajRo3Kcvz33nsv0+///PNPTZ061fF+/PjxWfYJAABQGDgVaH/99VdJkp+fn6ZOnaq33norT4sqjOrVq6ePPvpI0vW/2h82bJiuXr3q+D45OVkvv/yyli1bJkkaM2aMOnXqlGF/48aN07Zt2xQbG6v3339fq1evznT8H374QaNGjUp36sG2bdvUtWtXx1SIMWPGqGvXrtn+GQEAAFyRUxsrHDlyRJZlaerUqerbt2+6bTp16iR/f3/NmTPHZH2FylNPPaWkpCS99NJL+vbbb7V69Wp17dpVnp6eWrdunf78808VK1ZMY8aM0RtvvJFpX7ZtZ/o+xSOPPKLPPvtMUVFRev/99zV9+nTdfffdqlatmq5evardu3dr69atsm1bpUqV0ltvvaVnnnnG2M8MAABQ0Cw7o6SUSuXKlXX+/HlduXIlw+1VPTw8VLlyZYWHh+eqoFGjRikmJkbTpk3LVT8F6ciRI/rvf/+rJUuW6MSJE0pKSlLVqlXVuXNn/e1vf1Pz5s2z7OPw4cMaOHCgDh06pKFDh+rDDz/MsO2VK1e0cuVKLVu2TDt27NDhw4cVFRUlT09PlS9fXk2aNFHnzp31+OOP52plg5iYGPn6+io6Olply5bNcT9AYbOcv9HIVLcVKwq6BABFnFOB1svLSz4+PpkuD2Uq0AYGBurs2bNKSkrKVT8wj0CLoopAmzkCLYCC5tQc2tKlSys6OtqppaEAAACA/OTUHNrg4GDt3r1bM2fO1BNPPJHXNQGAS+EOJAC4Nqfu0LZv3162bev555/X66+/rj179nC3FgAAAC7BqTm0e/bsUYsWLTJtY9u2LMvKdUEp/TCH1vUwhxYAALgip+7QNm3aVC+88IJj6Sjbtm96ZfR5dl8AAABAdjgVaCXp7bff1oQJE+Tt7Z2X9QAAAADZ4tSUg9QiIyO1dOlS7d27VxcuXHBMDZgxY4ZKliyp/v3756qgkJAQXb16lSkHLogpBwAAwBVlO9BmhHVo3R+BFgAAuCKnpxwAAAAArsjlAi0PhgEAACA7nNpYwRlhYWEqVqxYrvsJDQ1lugEAAACcZizQ1qhRw0g/1apVM9IPAAAAigaXm3Lw7rvvauLEiQVdBgAAAAoJY6scmMIqB66LVQ4AAIArcrk7tAAAAEB2GJtDe/z4cSP9cGcWAAAA2eFUoP3Xv/6lOXPmqHfv3powYUK6bYKDg2VZVq4Lsm3bSD8AAAAoGrKcQ7ts2TL16NHjemPL0qJFi9SzZ8+b2nl4mJu9YFkWd2pdEHNoAQCAK8oyhe7bt0+SHHdNDx48mGFb7qwCAAAgv2U55aBr164qVqyYkpKSVKxYMXXu3DnDtqVLl9bo0aNzVdA777yjS5cu5aoPAAAAFB1OLdu1Zs0aLViwQL169VLXrl3TbePh4aHKlSsrPDw8VwWxbJfrYsoBAABwRU49FHb33Xfr7rvvzutaAAAAgGxzuXVoXWyfBwAAALg4Y+vQJicnG+knIiLCSD8AAAAoGlziDm1UVJQSExMLugwAAAAUQsYC7fHjx3Xq1KkcndutWzeVLl1ad955p3755RdTJQEAAKAIMBZog4OD1apVqxyfn5CQoN9++029evXSd999Z6osAAAAuDmjUw5y+kDX4MGDNWjQIJUuXVrJyckaNWqUrl69arI0AAAAuCmXmEP77LPPaubMmTp8+LCqVaumCxcuaN26dQVdFgAAAAoBlwi0KSpWrKjBgwdLkv74448CrgYAAACFgUsFWkny8/OTbduKi4sr6FIAAABQCLhcoF29erUsy1KpUqUKuhQAAAAUAtnaWOGbb77J9PvLly9n2SY9165d09mzZ7V27VqtXLlSlmWpVq1a2e4HAAAARY9lZ2NpAg8PD1mWle53tm1n+F122LatkiVL6tSpUypXrlyu+4M5MTEx8vX1VXR0tMqWLVvQ5QAAAEjK4da3GWXgnC7blRKEU85/6aWXCLMAAABwSrYDbU5DqzN91q5dWy+88IJGjhxpfAwAAAC4p2wF2jVr1qT7uW3b6tSpk8qXL68ff/wxWwWkPAAWFBSkSpUqZetcAAAAIFtzaDPj4eGhypUrKzw83ER3cEHMoQUAAK7I5ZbtAgAAALIjRw+FpWf8+PEqU6aMqe4AAAAApxibcgD3x5QDAADgiphyAAAAgELN2JSDzEREROjo0aM6d+6cLMtShQoVFBwczKoGAAAAyLU8C7Rnz57Vu+++qwULFujPP/9Mt03dunX1wAMP6B//+IcCAgLyqhQAAAC4sTyZQ/vee+/p1Vdf1ZUrV7LciMGyLHl7e2vy5Mn6xz/+YboUGMQcWgAA4IqMB9rBgwdr5syZsm3bsaVtVlLaPvroo5oxY4bJcmAQgRYAALgiow+Fvfzyy/ruu+8kXb/zatu241WmTBkFBgaqUqVKKlOmTJrvUtp+9913euWVV0yWBAAAADdn7A7trl27dNttt0m6fse1Tp06Gjx4sLp3764GDRrctEZtbGysDhw4oGXLlunbb7/V4cOHJV3fcWzHjh1q2rSpibJgEHdoAQCAKzIWaPv27atFixapWLFimjJlikaNGqVixYo5dW5SUpLeffddjR07VrZtq3fv3po/f76JsmAQgRYAALgiI4H20qVLKl++vBISEvTBBx/omWeeyVE/H330kZ5//nl5eXnpwoULKlmyZG5Lg0EEWgAA4IqMzKHdsGGDrl27prp16+Y4zErSs88+q3r16unatWvasGGDidIAAADg5owE2hMnTkiSevXqleu+7rvvPknS8ePHc90XAAAA3J+RQJuyA1hQUFCu+6pWrZps29a5c+cMVAYAAAB3ZyTQent7y7ZtxcfH57qvS5cuOTZbAAAAALJiJNBWrFhR0vWlu3Jrx44dafoEAAAAMmMk0DZv3lyStHjxYp08eTLH/Rw7dkw///yzJKlFixYmSgMAAICbMxJoGzRooKCgIF2+fFmDBg1STExMtvuIjo7WwIEDdeXKFQUFBal+/fomSgMAAICbM7b17d///nfZtq2NGzeqZcuW+vHHH5WcnJzleUlJSZo9e7ZuvfVWbdmyRZZl5WrpLwAAABQtxnYKu3z5sho0aKATJ07Itm1ZlqVy5crp7rvvVqNGjVS1alWVLl1atm0rLi5Op06d0r59+7R27VpFR0crpYzg4GDt37+fh8JcEBsrAAAAV2Qs0ErS7t271aFDB8XHxzsCqmVZmZ6TengfHx9t2LBBTZo0MVUSDCLQAgAAV2RsyoEkNWvWTMuWLVNgYKCk/4VZ27bTfaVuU6VKFS1btowwCwAAgGwxGmglqU2bNtqxY4dGjBih4sWLp7kDa1lWmju2tm2rRIkSevLJJ7Vjxw7dcccdpssBAACAmzM65eBGERERWrJkidauXaujR4/q/PnzkiR/f3/VrFlTHTt21L333qtKlSrlVQkwiCkHAADAFeVpoIV7IdACAABXZHzKAQAAAJCfCLQAAAAo1JwKtMePH9epU6fyuhYAAAAg25wKtMHBwWrVqlVe1yJJCgwMlKenZ76MBQAAgMLP6SkH+fnsGM+pAQAAwFnMoQUAAECh5vTf7V+7dk2//vprnt89vXbtWp72DwAAAPfi1Dq0Hh4eaXb4yku2bcuyLCUlJeXLeHAe69ACAABXlK2nr5jbCgAAAFeTrTm0lmXl251aAAAAwBlO3aH18PBQcnKyI8xWqlRJ9evXz5OCNm7cqMTExDzpGwAAAO7HqUB78OBBTZo0STNnzlRiYqLOnj2r22+/XePGjVPLli2NFhQYGKizZ88a7RMAAADuy6kpB7Vr19bXX3+tgwcP6vHHH1exYsW0ePFitW7dWj179tSWLVvyuk4AAAAgXdmaQ1uzZk1NmzZNhw4d0rBhw+Tp6amlS5eqbdu26t69uzZs2JDrgnjwDAAAANmRo40VgoOD9eWXX+rPP//UiBEj5OnpqRUrVuiuu+5Sp06dtHbt2hwX9NJLL2ncuHE5Ph8AAABFi1Pr0Gbl+PHj+te//qXp06fr2rVrsixL7dq107hx49SlSxcTdcIFsA4tAABwRUa2vq1evbo+//xzHT58WE899ZSKFy+uDRs2qHv37mrXrp1++eUXE8MAAAAANzESaFNUq1ZNn376qY4cOaKnn35aJUqU0KZNm9SzZ0+1atVKP/30k8nhAAAAALOBNkXVqlX18ccf68iRI/r73/+uEiVKKDQ0VH379tVtt92m+fPn58WwAAAAKILyJNCmqFKlij766CP99ddfevbZZ+Xl5aWdO3fqwQcfVNOmTTVnzpy8HB4AAABFQJ4G2hSBgYH64IMP9Ndff+n555+Xt7e39u7dq4EDB6phw4aaO3dufpQBAAAAN5QvgTZF5cqV9cADD6hx48aSrq85+8cff+jll1/OzzIAAADgRvIt0K5fv16dO3dWx44dFRoaKsuyHC8AAAAgpzzzeoC1a9dqwoQJWr9+vaT/7QRmWZbj+NZbb83rMgAAAOCm8uwO7Zo1a9SxY0d17txZ69evTxNkpevBtlu3bvr11181e/bsvCoDAAAAbs74HdpVq1ZpwoQJ+u233yRdD64pUwtSQu29996rcePGqVWrVqaHBwAAQBFj7A7tihUr1L59e3Xr1k2//fbbTVMLbNtW7969FRoaqp9//rlIhNmZM2eqQoUKsixLQ4cOLehyAAAA3FKuA+2yZcvUtm1b3XPPPdq0aVO6c2T79eunnTt3asGCBUVivuypU6d033336dFHH9X58+fzbdyrV6/qiy++UOfOnVWlShV5e3urevXq6tmzp77//nslJyfnWy0AAAD5JcdTDn755RdNmDBBW7dulXTz1AIPDw/1799fr732mho2bGisYFc3depUvfjii4qOjpaPj49iY2PzZdx9+/ZpwIAB2rdvnzw9PdWjRw8FBQXp0KFDWrp0qZYsWaJPP/1Us2fPVrVq1fKlJgAAgPyQ7UC7ZMkSTZw4Udu2bZN0c5AtVqyYBg4cqFdffVX16tXLdkGnTp1SUlKSqlevnu1zC1JkZKQGDRqkVatWqVy5cpo2bZqOHz+uCRMm5PnYR48eVZcuXRQREaGgoCAtX75c9evXd3z/22+/qVevXvrtt98cU0L8/PzyvC4AAID84PSUg5R5r/fdd5+2bdt209SCYsWKaciQITpw4IC+/fbbHIVZSWrZsqVq1aqVo3ML0r59+7Rq1Sr16dNH+/fv17Bhw/Jt7MGDBysiIkKWZWnWrFlpwqwktWvXTh9//LEk6cCBA3r++efzrTYAAIC85lSgbdmypfr06aPt27ffFGQ9PT01YsQIHTp0SF9//bXq1KmT66JSxihM/Pz8NHv2bC1YsECBgYH5Nu7ChQv166+/SpI6d+6sdu3apdvukUcecfyz+e6777Rz5858qxEAACAvORVod+zYIel/0wts21bx4sU1cuRIHT58WF988YWCg4Pzsk6X16xZMw0YMCDfx/3yyy8dxwMHDsy0bUp9tm3rq6++ytO6AAAA8ku25tCmhNnKlSvrmWeeUbVq1bRmzRqjBV2+fNlof+4sJiZGy5cvd7xv27Ztpu1Tfz937lx99NFHeVYbAABAfsn2Q2GWZenMmTN67bXX8qIex11gZG3Xrl1KSEiQJBUvXjzLectNmjRxHEdEROjEiRMKCgrK0xoBAADyWrbWoU3ZICEvX3De77//7jiuUqWKPDwy/8cZGBiYpk3q8wEAAAorp+/QVqpUSeHh4XlZi6Troevs2bN5Po47OHXqlOM4ICAgy/aenp7y8/NzbPaQ+vz0XL16VVevXnW8j46OlnR9qgMAAEB+8fHxyfRv8HO8sQIKXupNG7y9vZ06x8vLK93z0zNlypR019FlmgIAAMhP0dHRKlu2bIbfu32gnTNnjrZv326sv/vvv1+tW7c21l9uXLp0yXFcokQJp85JHWhTn5+esWPH6oUXXnC8T05O1oULF+Tv719o5jnHxMQoKChIJ06cyPQ/BOQe1zp/cJ3zD9c6f3Cd80dhv84+Pj6Zfu9ygbZNmzaKiooy1t/ixYs1Y8YMY/0FBwe7TKAtVaqU4/jatWtOnZO6Xerz0+Pl5ZUmAEtSuXLlnC/QhZQtW7ZQ/gdcGHGt8wfXOf9wrfMH1zl/uOt1dirQJicn53UdDvPmzcu3sQq71H9auXLlilPnpG6X1Z92AAAACgOXu0Nr2vTp0zV9+vSCLiNPVKtWzXEcGRmZZfvExMQ0d7+rVq2aJ3UBAADkp2wt2wXX0rhxY8dxeHh4lnfSIyIi0rRJvS6tu/Ly8tL48eNvmjoB87jW+YPrnH+41vmD65w/3P06WzaLv+aZ119/3bFKwJAhQ4zfKY6JiVFAQIBjXuyBAwdUv379DNsvXbpU9957r6Try6PlxzJsAAAAeY07tIVY2bJl1bVrV8f7jRs3Zto+9ff9+vXLs7oAAADyE4G2kHviiSccx7Nnz860bUhIiKTr2xcPHz48T+sCAADILwRaFxUaGqoGDRrIz89P77zzTobt+vTpow4dOkiSVq5cqU2bNqXbbtasWfrzzz8lSY8++qiaN29uvGYAAICCQKB1Uf/4xz/0xx9/6OLFi3rppZd05MiRDNt+8803qlSpkmzb1sCBA3Xw4ME032/cuFF///vfJUkNGjTQBx98kKe1AwAA5Ce3X7YrP4WEhGjbtm2O96nnrIaGhurFF190vL/99ts1YMCADPu68Vm9zJ7dCw4O1sqVKzVgwADt379fTZo0UY8ePRQUFKRDhw5p5cqVsm1bbdu21ezZs+Xn55eTHw8AAMA12TBmyJAhtiSnXkOGDMm0ry1bttj16tWzy5UrZ7/55ptOjX/lyhX7888/tzt27GhXrlzZLlGihF21alW7R48e9nfffWcnJSUZ+Cld35o1a7K8/jVq1CjoMguN7F5PZ/47GD9+fIH9PAUtP66nM7+DwsLC8vXnLgjOXuusrrEzvy8y62PNmjV5/rO6GmeufVbXJbM+svr/UHeTH9fTmd8brow7tAaZ3MShVatW+uOPP7J1jpeXl5588kk9+eSTRmoorIKCgjR69GhJ0okTJ/TDDz9Iur4qRMpDdOXLly+w+gqb7F7PHj16qEKFCpKkX375Rfv27ZN0fVvrtm3bSpLjf4ui/LieKf1L0n/+8x/H8RNPPOHY8tLX19foz+WKnL3WtWvXVoUKFRQREaGZM2c6zu/Ro4caNmzo1O+LlH9OV65c0SeffJJmjKCgINM/mstLfe2nT5+u8+fPOz7v37+/49jZPhYsWKAjR46of//+CgoK0u23356H1bue/LieKb9nYmJi9OWXXzrOS/37xKUVdKIG8lLqP5FyVzb3sns9U/+pvyjflc1IflxPpbq7UhTuymbEmWt97do1u2LFio52gwYNyvY4M2fOtCXZTz75ZC4rdh+jRo1yXNOSJUvaFy9ezNb5ly5dsn19fe1y5crZly9fzqMqC4+8vp5hYWGF5q5sajwUBgCApOLFi+uxxx5zvJ8/f36a7cKdMW3aNEliacRUhg0b5ji+fPmyvv/++2ydP3fuXEVHR+vhhx+Wt7e36fIKHa5n+gi0AAD8f6mD6JUrV9JMQchKWFiY1qxZoyZNmhS5vxLPTOPGjdWqVSvH+5TQ7yz+kJAW1zN9BFoAAP6/Bg0aqE2bNo732QkLX331lWzb1ogRI/KitEItdXjavn27du/e7dR5hw8f1vr169WiRQvdeuuteVVeocP1vBmBFgCAVFL/le6uXbu0ffv2LM9JTk7W9OnT5eXlpUcffTQvyyuUBg4cqFKlSjneT5061anzUv6Q4G53E3OL63kzAi0AAKkMGDBApUuXdrx35i7tsmXLdPLkSfXt25dVVNJRtmxZPfjgg473M2fO1JUrVzI9JykpSTNmzJC3t7ceeeSRvC6xUOF63oxACwBAKj4+Po6lkCTp+++/1+XLlzM9JyX0Mt0gY6nvCkZFRWn+/PmZtl+6dKnCw8PVr18/lStXLo+rK3y4nmkRaAEAuEHqaQfR0dH68ccfM2wbGRmpRYsWKTg4WJ07d86P8gqlO++8U3Xq1HG8z+rOd8pfo7vjX4+bwPVMi0ALAMAN2rdvr3r16jneZzZH8ZtvvlFCQoKGDRsmy7Lyo7xCK/UfFFavXq2wsLB02505c0aLFy9W7dq11bFjx3yqrvDhev4PgRYAgHSkDgvr16/X4cOH0203bdo0eXh4aOjQoflUWeE1ZMgQFStWTJJk27a++uqrdNvNmDFDiYmJ/CEhC1zP/yHQAgCQjsGDB8vT8/oO8RmFhU2bNunAgQPq1q1bkdziNruqVKmie+65x/F++vTpSk5OvqndV199pWLFivGHhCxwPf+HQAsAQDoqV66se++91/F+xowZSkpKStOGh8GyL/UczpMnT2rZsmVpvt+wYYMOHjyoHj16qEqVKvldXqHD9byOQAsAQAZSTzsIDw/XkiVLHO/j4uIUEhKigIAA9e7duyDKK5R69eqlihUrOt7fOD/ZXXeyyitcz+sItAAAZKBnz56qVKmS433qJ8l/+OEHxcXF6bHHHlPx4sULorxCqXjx4nrssccc73/66SdFRkZKkmJjYzVnzhxVqlRJvXr1KqgSCxWu53UEWgAAMuDp6akhQ4Y43i9evFhnzpyRxHSD3Eh9tzAhIUHffPONJGn27NmKj4/XkCFDHPOXkTWuJ4EWAIBMpZ52kJiYqBkzZuiPP/7Qxo0b1aZNGzVo0KAAqyucGjRooDvuuMPxPuUPB0Xlr8dN43oSaAEAyFS9evXUrl07x/tp06Y55ilydzbnUoesAwcO6Msvv9SWLVvUoUMH1a1btwArK5yK+vUk0AIAkIXUYeHQoUP6+OOPVaZMmTRb5CJ7BgwYoNKlSzveP/vss5KKxt3EvFDUryeBFgCALPTv319lypRxvL969aoGDBiQ5jNkj4+Pjx566CHH+6tXr6ps2bJpPoPzivr1dO8ZwiiSjhw5os8++0ySdOLECcfnUVFRevHFFyVJ5cuX18svv1wg9RU22b2eISEh2rZtmyQpNDTU0X758uWKi4uTJHXr1k3dunXLl/pdTX5cz5R+bvSvf/1LZcuWlSS98sor8vPzM/VjuSSTvwtKly6tAQMGpFnlgOkGuTd8+HBNnz7d8X7QoEEqVapUwRVUyOX0ekZFRWny5MmSpJiYmDTfpf598s4775gpNC/YgJtZs2aNLSnTV40aNQq6zEIju9dzyJAhWbYfP358gf08BS0/rmdW7SXZYWFh+fpzFwTTvws2btzoOK9hw4Z5V3gRU69ePcd13bp1a0GXU+jl5HqGhYU59XvDlVm2bds5j8MAAABAwWIOLQAAAAo1Ai0AAAAKNQItAAAACjUCLQAAAAo1Ai0AAAAKNQItAAAACjUCLQAAAAo1Ai0AAAAKNQItAAAACjUCLQAAAAo1Ai0AAAAKNQItAAAACjUCLQAAAAo1Ai0AAAAKNQItAAAACrX/B0OWMiYxlIiHAAAAAElFTkSuQmCC", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "motifs3 = [-0.09743189457908542, 0.3057352878609137, -0.5664795273602301, -0.46704869712770475, 0.20599282046932665, 0.5617529503113179]\n", "\n", "# Plot a bar chart of the motif counts\n", "cols = ['#cd3031' if (x < 0) else '#557fa3' for x in motifs3]\n", "g = sns.barplot(x=[\"I\", \"II\", \"III\", \"IV\", \"V\", \"VI\"], y=motifs3, palette=cols)\n", "g.axhline(0, color=\"black\", linewidth=0.5)\n", "plt.ylim(-1, 1)\n", "plt.ylabel(\"Motif abundance score\")\n", "sns.despine()" ] }, { "cell_type": "markdown", "id": "0f77c7fd", "metadata": {}, "source": [ "### C) Communities " ] }, { "cell_type": "code", "execution_count": 7, "id": "d35dade3", "metadata": {}, "outputs": [], "source": [ "from hypergraphx.utils import normalize_array, calculate_permutation_matrix\n", "from hypergraphx.communities.hypergraph_mt.model import HypergraphMT\n", "from hypergraphx.viz import draw_communities\n", "\n", "from hypergraphx.filters.metadata_filters import filter_hypergraph" ] }, { "cell_type": "code", "execution_count": 8, "id": "40191e2e", "metadata": {}, "outputs": [], "source": [ "# For visualization purposes we analyse only 3 classes ['PC', 'PC*', 'PSI*']\n", "H_filtered = load_hypergraph(\"../test_data/hs/hs.json\")\n", "filter_hypergraph(H_filtered, node_criteria = {'class': ['PC', 'PC*', 'PSI*']})" ] }, { "cell_type": "code", "execution_count": 9, "id": "aa3171c2", "metadata": {}, "outputs": [], "source": [ "# Fix setting\n", "K = 3 # number of communities\n", "seed = 20 # random seed\n", "n_realizations = 10 # number of realizations with different random initialization\n", "max_iter = 500 # maximum number of EM iteration steps before aborting\n", "check_convergence_every = 1 # number of steps in between every convergence check\n", "normalizeU = False # if True, then the membership matrix u is normalized such that every row sums to 1\n", "baseline_r0 = False # if True, then for the first iteration u is initialized around the solution of the Hypergraph Spectral Clustering\n", "verbose = False # flag to print details" ] }, { "cell_type": "code", "execution_count": 10, "id": "6b33b687", "metadata": {}, "outputs": [], "source": [ "# Model training\n", "model = HypergraphMT(n_realizations=n_realizations, \n", " max_iter=max_iter, \n", " check_convergence_every=check_convergence_every, \n", " verbose=verbose\n", " )\n", "\n", "u, _, _ = model.fit(H_filtered, \n", " K=K, \n", " seed=seed, \n", " normalizeU=normalizeU, \n", " baseline_r0=baseline_r0\n", " )" ] }, { "cell_type": "code", "execution_count": 11, "id": "592d0249", "metadata": {}, "outputs": [], "source": [ "# Normalize membership matrix by row\n", "u = normalize_array(u, axis=1)" ] }, { "cell_type": "code", "execution_count": 12, "id": "122dec04", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'Higher-order communities')" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Visualize with a network and pie charts\n", "col = {0:'#AFCFD0', 1: '#b5cf6b', 2: '#d6616b'}\n", "\n", "plt.subplot(1,1,1)\n", "ax=plt.gca()\n", "draw_communities(hypergraph=H_filtered, u=u, col=col, node_size=0.03, ax=ax, with_node_labels=False, \n", " scale=0.8, opt_dist=1, wedge_width=0.4, threshold_group=0., wedge_color='darkgray')\n", "sns.despine()\n", "plt.title(\"Higher-order communities\")\n", "#plt.savefig(\"figures/communities.svg\", bbox_inches=\"tight\")" ] }, { "cell_type": "markdown", "id": "5d36d297", "metadata": {}, "source": [ "### D) Statistics of the filtered systems after applying SVH" ] }, { "cell_type": "code", "execution_count": 13, "id": "9eae2b8b", "metadata": {}, "outputs": [], "source": [ "from hypergraphx.filters import get_svh" ] }, { "cell_type": "code", "execution_count": 14, "id": "586ec1c9", "metadata": {}, "outputs": [], "source": [ "validated = get_svh(H, mp=True)" ] }, { "cell_type": "code", "execution_count": 18, "id": "01882b67", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Processing size 2\n", "Filtered interactions count: 1217\n", "Processing size 3\n", "Filtered interactions count: 518\n", "Processing size 4\n", "Filtered interactions count: 62\n" ] } ], "source": [ "import pandas as pd\n", "\n", "df_list = []\n", "\n", "for size in validated:\n", " if size < 5:\n", " data = validated[size]\n", " print(f\"Processing size {size}\")\n", " \n", " # Check if data is empty\n", " total_count = data.shape[0]\n", " if total_count == 0:\n", " print(f\"No data for size {size}\")\n", " continue\n", " \n", " # Create DataFrame for total interactions\n", " df_total = pd.DataFrame({\n", " 'size': [size] * total_count,\n", " 'fdr': ['Total interactions'] * total_count\n", " })\n", " df_list.append(df_total)\n", " \n", " if 'fdr' in data.columns and data['fdr'].dtype == bool:\n", " # Filter data where 'fdr' is True\n", " filtered_data = data[data['fdr']]\n", " filtered_count = filtered_data.shape[0]\n", " print(f\"Filtered interactions count: {filtered_count}\")\n", " \n", " if filtered_count > 0:\n", " # Create DataFrame for filtered interactions\n", " df_filtered = pd.DataFrame({\n", " 'size': [size] * filtered_count,\n", " 'fdr': ['Filtered interactions'] * filtered_count\n", " })\n", " df_list.append(df_filtered)\n", " else:\n", " print(f\"No filtered interactions for size {size}\")\n", " else:\n", " print(f\"'fdr' column missing or not boolean in data for size {size}\")\n", "\n", "if df_list:\n", " df = pd.concat(df_list, ignore_index=True)\n", "else:\n", " df = pd.DataFrame(columns=['size', 'fdr'])\n" ] }, { "cell_type": "code", "execution_count": 19, "id": "87a174fd", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "g = sns.countplot(data=df, x=\"size\", hue=\"fdr\", width=0.6)\n", "\n", "count = 0\n", "g.patches[0].set_facecolor(SIZE_TWO_COLOR)\n", "g.patches[1].set_facecolor(SIZE_THREE_COLOR)\n", "g.patches[2].set_facecolor(SIZE_FOUR_COLOR)\n", "g.patches[3].set_facecolor(SIZE_TWO_COLOR)\n", "g.patches[3].set_alpha(0.75)\n", "g.patches[3].set_hatch('///')\n", "g.patches[4].set_facecolor(SIZE_THREE_COLOR)\n", "g.patches[4].set_alpha(0.75)\n", "g.patches[4].set_hatch('///')\n", "g.patches[5].set_facecolor(SIZE_FOUR_COLOR)\n", "g.patches[5].set_alpha(0.75)\n", "g.patches[5].set_hatch('///')\n", "\n", "plt.ylabel(\"Number of interactions\")\n", "plt.yscale(\"log\")\n", "plt.xlabel(\"Interaction size\")\n", "sns.despine()\n", "plt.legend(loc='upper right', frameon=False, handlelength=1)\n", "#plt.savefig(\"figures/svh.svg\", bbox_inches=\"tight\")" ] }, { "cell_type": "markdown", "id": "b1c8bf25", "metadata": {}, "source": [ "### E) Ability of the sampling method to reproduce one measure " ] }, { "cell_type": "code", "execution_count": 20, "id": "2498862a", "metadata": {}, "outputs": [], "source": [ "from hypergraphx.communities.hy_mmsbm.model import HyMMSBM\n", "from hypergraphx.generation.hy_mmsbm_sampling import HyMMSBMSampler\n", "from hypergraphx.measures.sub_hypergraph_centrality import subhypergraph_centrality" ] }, { "cell_type": "code", "execution_count": 21, "id": "185cfe8e", "metadata": { "scrolled": true }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/francesco/hgx-dev/hypergraphx/hypergraphx/generation/hy_mmsbm_sampling.py:493: RuntimeWarning: overflow encountered in expm1\n", " np.expm1(prob_new) / np.expm1(prob_old),\n", "/Users/francesco/hgx-dev/hypergraphx/hypergraphx/generation/hy_mmsbm_sampling.py:493: RuntimeWarning: overflow encountered in expm1\n", " np.expm1(prob_new) / np.expm1(prob_old),\n", "/Users/francesco/hgx-dev/hypergraphx/hypergraphx/generation/hy_mmsbm_sampling.py:493: RuntimeWarning: overflow encountered in expm1\n", " np.expm1(prob_new) / np.expm1(prob_old),\n", "/Users/francesco/hgx-dev/hypergraphx/hypergraphx/generation/hy_mmsbm_sampling.py:493: RuntimeWarning: overflow encountered in expm1\n", " np.expm1(prob_new) / np.expm1(prob_old),\n", "/Users/francesco/hgx-dev/hypergraphx/hypergraphx/generation/hy_mmsbm_sampling.py:493: RuntimeWarning: overflow encountered in expm1\n", " np.expm1(prob_new) / np.expm1(prob_old),\n", "/Users/francesco/hgx-dev/hypergraphx/hypergraphx/generation/hy_mmsbm_sampling.py:493: RuntimeWarning: overflow encountered in expm1\n", " np.expm1(prob_new) / np.expm1(prob_old),\n", "/Users/francesco/hgx-dev/hypergraphx/hypergraphx/generation/hy_mmsbm_sampling.py:493: RuntimeWarning: overflow encountered in expm1\n", " np.expm1(prob_new) / np.expm1(prob_old),\n", "/Users/francesco/hgx-dev/hypergraphx/hypergraphx/generation/hy_mmsbm_sampling.py:493: RuntimeWarning: overflow encountered in expm1\n", " np.expm1(prob_new) / np.expm1(prob_old),\n", "/Users/francesco/hgx-dev/hypergraphx/hypergraphx/generation/hy_mmsbm_sampling.py:493: RuntimeWarning: overflow encountered in expm1\n", " np.expm1(prob_new) / np.expm1(prob_old),\n", "/Users/francesco/hgx-dev/hypergraphx/hypergraphx/generation/hy_mmsbm_sampling.py:493: RuntimeWarning: invalid value encountered in scalar divide\n", " np.expm1(prob_new) / np.expm1(prob_old),\n" ] } ], "source": [ "SEED = 112233\n", "np.random.seed(SEED)\n", "random.seed(SEED)\n", "\n", "# First, infer generative parameters utilizing Hy-MMSBM.\n", "model = HyMMSBM(K=9, assortative=True)\n", "model.fit(H, n_iter=100)\n", "\n", "# Sample based on these\n", "sampler = HyMMSBMSampler(\n", " u = model.u,\n", " w = model.w,\n", " max_hye_size = None,\n", " exact_dyadic_sampling = True,\n", " burn_in_steps = 1000,\n", " intermediate_steps = 1000,\n", ")\n", "samples = sampler.sample(\n", " deg_seq = None,\n", " dim_seq = None,\n", " avg_deg = None,\n", " initial_hyg = H,\n", " allow_rescaling = False\n", ")\n", "sampled_h = [next(samples) for _ in range(10)]" ] }, { "cell_type": "code", "execution_count": 22, "id": "c4168b0d", "metadata": {}, "outputs": [], "source": [ "samples_centr = [subhypergraph_centrality(h) for h in sampled_h]\n", "original_centr = subhypergraph_centrality(H)" ] }, { "cell_type": "code", "execution_count": 23, "id": "f515eefe", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 23, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "SAMPLE_IDX = 0\n", "sample_centr = samples_centr[SAMPLE_IDX]\n", "\n", "\n", "hist = plt.hist(\n", " [\n", " original_centr - np.mean(original_centr), \n", " samples_centr[SAMPLE_IDX] - np.mean(samples_centr[SAMPLE_IDX])\n", " ],\n", " # label=[\"Dataset\", \"Sample\"],\n", " cumulative=True,\n", " color=['#3d7296','#bac9dc'], \n", " alpha=0.75,\n", " #rwidth=0.5, \n", " bins=18, \n", " density=True,\n", ")\n", "xmin, xmax = plt.xlim()\n", "\n", "plt.xlim(xmin, xmax)\n", "plt.ylabel(\"Cumulative frequency\")\n", "plt.xlabel(\"Higher-order centrality\")\n", "plt.ylim(0,1)\n", "\n", "sns.despine()\n", "\n", "plt.legend(frameon=False, labels=[\"Dataset\", \"Sample\"], loc=\"upper left\", handlelength=1)" ] }, { "cell_type": "markdown", "id": "610dcbb7", "metadata": {}, "source": [ "### F) Temporal higher-order properties" ] }, { "cell_type": "code", "execution_count": 29, "id": "f4d88abb", "metadata": {}, "outputs": [], "source": [ "correlation_by_order = np.load(\"./_example_data/temporal_correlations.npy\")" ] }, { "cell_type": "code", "execution_count": 30, "id": "9f5cb895", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#fig, ax = plt.subplots(1,1,figsize=(8,6))\n", "\n", "plt.subplot(1,1,1)\n", "ax = plt.gca()\n", "\n", "color_dict = {2: SIZE_TWO_COLOR, 3:SIZE_THREE_COLOR, 4:SIZE_FOUR_COLOR}\n", "for d in range(3):\n", " ax.plot(range(0,1440*20,6*20),correlation_by_order[d,:], label=\"size = %s\" % (d+2),\n", " color=color_dict[2+d], lw=4)\n", "\n", "ax.set_xlabel(\"Temporal lag\")\n", "ax.set_ylabel(\"Temporal autocorrelation\")\n", "ax.tick_params(axis='both', which='major')\n", "\n", "ax.loglog()\n", "ax.set_xlim(left=100,right=1441*20)\n", "sns.despine()" ] }, { "cell_type": "markdown", "id": "6b4fa832", "metadata": {}, "source": [ "### G) Statistics of a higher-order spreading process run on top of it " ] }, { "cell_type": "code", "execution_count": 26, "id": "38961f2f", "metadata": {}, "outputs": [], "source": [ "social_contagion_data = np.load(\"./_example_data/social_contagion.npy\")" ] }, { "cell_type": "code", "execution_count": 27, "id": "ff733352", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.subplot(1,1,1)\n", "ax = plt.gca()\n", "\n", "T = 500\n", "ax.plot(range(T),social_contagion_data[:,0], \n", " lw=4, c='#4a6e9e',\n", " label=\"With higher-order contagion\")\n", "ax.plot(range(T),social_contagion_data[:,1], \n", " lw=4, c='#C74187',\n", " label=\"Without higher-order contagion\")\n", "\n", "ax.set_xlim(0,300)\n", "ax.set_ylim(0,1)\n", "ax.tick_params(axis='both', which='major')\n", "\n", "ax.set_xlabel(\"Time\")\n", "ax.set_ylabel(\"Fraction of infected nodes\")\n", "ax.legend(frameon=False, loc=\"right\", handlelength=1)\n", "sns.despine()" ] }, { "attachments": {}, "cell_type": "markdown", "id": "0be9d392", "metadata": {}, "source": [ "### H) Visualizations " ] }, { "cell_type": "code", "execution_count": 28, "id": "9d2bce52", "metadata": {}, "outputs": [ { "ename": "ModuleNotFoundError", "evalue": "No module named 'hypergraphx.readwrite.loaders'", "output_type": "error", "traceback": [ "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", "\u001b[0;31mModuleNotFoundError\u001b[0m Traceback (most recent call last)", "Cell \u001b[0;32mIn[28], line 1\u001b[0m\n\u001b[0;32m----> 1\u001b[0m \u001b[38;5;28;01mfrom\u001b[39;00m \u001b[38;5;21;01mhypergraphx\u001b[39;00m\u001b[38;5;21;01m.\u001b[39;00m\u001b[38;5;21;01mreadwrite\u001b[39;00m\u001b[38;5;21;01m.\u001b[39;00m\u001b[38;5;21;01mloaders\u001b[39;00m \u001b[38;5;28;01mimport\u001b[39;00m load_high_school\n\u001b[1;32m 2\u001b[0m \u001b[38;5;28;01mfrom\u001b[39;00m \u001b[38;5;21;01mhypergraphx\u001b[39;00m\u001b[38;5;21;01m.\u001b[39;00m\u001b[38;5;21;01mfilters\u001b[39;00m \u001b[38;5;28;01mimport\u001b[39;00m get_svh\n\u001b[1;32m 3\u001b[0m \u001b[38;5;28;01mfrom\u001b[39;00m \u001b[38;5;21;01mhypergraphx\u001b[39;00m\u001b[38;5;21;01m.\u001b[39;00m\u001b[38;5;21;01mviz\u001b[39;00m\u001b[38;5;21;01m.\u001b[39;00m\u001b[38;5;21;01mdraw_hypergraph\u001b[39;00m \u001b[38;5;28;01mimport\u001b[39;00m draw_hypergraph\n", "\u001b[0;31mModuleNotFoundError\u001b[0m: No module named 'hypergraphx.readwrite.loaders'" ] } ], "source": [ "from hypergraphx.readwrite.loaders import load_high_school\n", "from hypergraphx.filters import get_svh\n", "from hypergraphx.viz.draw_hypergraph import draw_hypergraph\n", "from hypergraphx.representations.projections import clique_projection" ] }, { "cell_type": "code", "execution_count": null, "id": "492e8a3c", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Hypergraph with 39 nodes and 754 edges.\n", "Distribution of hyperedge sizes: {2: 519, 3: 217, 4: 18}\n" ] } ], "source": [ "H = load_high_school(\"../test_data/hs/hs.json\", filter_by_class=['PC*'])\n", "print(H)" ] }, { "cell_type": "code", "execution_count": null, "id": "f335841b", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[3.0771767141041745e-07]\n", "61\n" ] } ], "source": [ "# Get validated hyperedges\n", "hs_svh = get_svh(H, approximate_pvalue=True, mp=True)\n", "\n", "# Filter hypergraph\n", "e4 = hs_svh[4]\n", "e4 = e4[e4['fdr']]\n", "lim = e4['pvalue']\n", "lim = list(lim)\n", "lim = list(sorted(lim))\n", "print(lim)\n", "lim = lim[-1]\n", "\n", "edges = []\n", "lim = float(lim)\n", "\n", "for size in hs_svh:\n", " for i in range(len(hs_svh[size])):\n", " a = float(hs_svh[size]['pvalue'][i])\n", " b = bool(hs_svh[size]['fdr'][i])\n", " if a <= lim and b:\n", " edges.append(hs_svh[size]['edge'][i])\n", "\n", "print(len(edges))\n", "\n", "H2 = Hypergraph(edges)\n", "lcc = H2.largest_component()\n", "H2 = H2.subhypergraph(lcc)" ] }, { "cell_type": "code", "execution_count": null, "id": "6a9e81e1", "metadata": {}, "outputs": [], "source": [ "hyperedge_color_by_order = {2: SIZE_THREE_COLOR, 3: SIZE_FOUR_COLOR}\n", "hyeperedge_facecolor_by_order = {2: hye_facecolor[SIZE_THREE_COLOR], 3: hye_facecolor[SIZE_FOUR_COLOR]}" ] }, { "cell_type": "code", "execution_count": null, "id": "5754aaca", "metadata": {}, "outputs": [], "source": [ "pos = nx.spring_layout(clique_projection(H2, keep_isolated=True),\n", " iterations=120, seed=17, scale=1, k=0.75)\n", "pos[214] = [0.17580071, 0.07780574]\n", "pos[116] = [-0.02649419, 0.14016711]\n", "pos[923] = [-0.50259044, -0.20990672]" ] }, { "cell_type": "code", "execution_count": null, "id": "891fe12e", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.subplot(1,1,1)\n", "ax=plt.gca()\n", "\n", "draw_hypergraph(\n", " H2, ax=ax, pos=pos,\n", " edge_width=1.5, edge_color=SIZE_TWO_COLOR, hyperedge_color_by_order=hyperedge_color_by_order, \n", " hyperedge_facecolor_by_order=hyeperedge_facecolor_by_order, hyperedge_alpha=0.8,\n", " node_size=150, node_color='#E2E0DD', node_facecolor='black', node_shape='o', with_node_labels=False\n", ")\n", "sns.despine()" ] }, { "cell_type": "markdown", "id": "2da80962", "metadata": {}, "source": [ "### H) Central panel" ] }, { "cell_type": "code", "execution_count": null, "id": "093c57d7", "metadata": {}, "outputs": [], "source": [ "from matplotlib.patches import Patch" ] }, { "cell_type": "code", "execution_count": null, "id": "134159d8", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.subplot(1,1,1)\n", "ax = plt.gca()\n", "\n", "color_dict = {2: SIZE_TWO_COLOR, 3:SIZE_THREE_COLOR, 4:SIZE_FOUR_COLOR}\n", "labels = {2: 'Interaction size 2', 3: 'Interaction size 3', 4: 'Interaction size 4'}\n", "\n", "plt.plot()\n", "\n", "handles = [Patch(facecolor=color_dict[d], label=labels[d]) for d in color_dict.keys()]\n", "ax.legend(handles=handles, ncol=1, loc='center', framealpha=True, handlelength=1, labelspacing=1.5, borderpad=1)\n", "ax.axis('off')\n", "\n", "sns.despine()\n", "plt.savefig(\"figures/legend.svg\", bbox_inches=\"tight\")" ] } ], "metadata": { "kernelspec": { "display_name": "hgx-installation", "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": "3.9.17" } }, "nbformat": 4, "nbformat_minor": 5 }