From f62b319905f465e9177daf1508eb210f981be82b Mon Sep 17 00:00:00 2001 From: Nicholas Landry Date: Thu, 28 Mar 2024 10:32:13 -0400 Subject: [PATCH] Create plot_fig3.ipynb --- plot_fig3.ipynb | 420 ++++++++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 420 insertions(+) create mode 100644 plot_fig3.ipynb diff --git a/plot_fig3.ipynb b/plot_fig3.ipynb new file mode 100644 index 0000000..5acf460 --- /dev/null +++ b/plot_fig3.ipynb @@ -0,0 +1,420 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "import matplotlib.pyplot as plt\n", + "import networkx as nx\n", + "import numpy as np\n", + "import xgi\n", + "from matplotlib.gridspec import GridSpec\n", + "import cmasher as cmr\n", + "import seaborn as sns\n", + "\n", + "\n", + "import fig_settings as fs\n", + "from lcs import *" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "with open(f\"Data/zkc_tmax_comparison.json\") as file:\n", + " data = json.load(file)\n", + " tmax = np.array(data[\"tmax\"], dtype=float)\n", + " A = np.array(data[\"A\"], dtype=float)[0, 0, 0]\n", + " Q = np.array(data[\"Q\"], dtype=float)" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "G = nx.Graph(A.astype(int))\n", + "\n", + "cc = clustering_coefficient(A)\n", + "deg = degrees(A)\n", + "\n", + "kc = nx.core_number(G)\n", + "coreness = np.zeros(A.shape[0])\n", + "coreness[list(kc)] = list(kc.values())\n" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "## Coreness\n", + "\n", + "ms = 4\n", + "alpha = 1\n", + "colormap = plt.cm.plasma\n", + "cmap = lambda x: colormap(np.interp(x, [coreness.min(), coreness.max()], [0.1, 0.8]))\n", + "\n", + "x = tmax\n", + "y1 = np.array([nodal_performance(Q[0, i].mean(axis=0), A) for i in range(len(tmax))]).T\n", + "y2 = np.array([nodal_performance(Q[1, i].mean(axis=0), A) for i in range(len(tmax))]).T\n", + "\n", + "plt.figure(figsize=(8, 4))\n", + "\n", + "plt.subplot(121)\n", + "plt.title(\"Simple contagion\")\n", + "for k in np.unique(coreness):\n", + " plt.semilogx(x, y1[np.where(coreness==k)].mean(axis=0), \"^\", markersize=ms, color=cmap(k), alpha=alpha, label=f\"{int(k)}-core nodes\")\n", + "plt.legend()\n", + "plt.ylabel(\"Average neighbor error\")\n", + "plt.xlabel(r\"$t_{max}$\")\n", + "\n", + "plt.subplot(122)\n", + "plt.title(r\"Threshold contagion, $\\tau=2$\")\n", + "for k in np.unique(coreness):\n", + " plt.semilogx(x, y2[np.where(coreness==k)].mean(axis=0), \"+\", markersize=ms, color=cmap(k), alpha=alpha, label=f\"{int(k)}-core nodes\")\n", + "\n", + "plt.legend()\n", + "sns.despine()" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "## Coreness difference\n", + "\n", + "ms = 4\n", + "alpha = 1\n", + "colormap = plt.cm.plasma\n", + "cmap = lambda x: colormap(np.interp(x, [coreness.min(), coreness.max()], [0.1, 0.8]))\n", + "\n", + "x = tmax\n", + "y1 = np.array([nodal_performance(Q[0, i].mean(axis=0), A) for i in range(len(tmax))]).T # simple contagion\n", + "y2 = np.array([nodal_performance(Q[1, i].mean(axis=0), A) for i in range(len(tmax))]).T # complex contagion\n", + "\n", + "plt.figure(figsize=(8, 6))\n", + "\n", + "for k in np.unique(coreness):\n", + " plt.semilogx(x, y1[np.where(coreness==k)].mean(axis=0)-y2[np.where(coreness==k)].mean(axis=0), \"^\", markersize=ms, color=cmap(k), alpha=alpha, label=f\"{int(k)}-core nodes\")\n", + "plt.semilogx(tmax, np.zeros_like(tmax), \"k--\")\n", + "\n", + "plt.xlim([tmax.min()-0.5, tmax.max()+1000])\n", + "plt.legend()\n", + "plt.ylabel(\"Difference in average neighbor error\")\n", + "plt.xlabel(r\"$t_{max}$\")\n", + "\n", + "sns.despine()" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "## Clustering coefficient\n", + "\n", + "ms = 4\n", + "alpha = 1\n", + "colormap = plt.cm.plasma\n", + "cmap = lambda x: colormap(np.interp(x, [0, 1], [0.1, 0.8]))\n", + "\n", + "x = tmax\n", + "y1 = np.array([nodal_performance(Q[0, i].mean(axis=0), A) for i in range(len(tmax))]).T\n", + "y2 = np.array([nodal_performance(Q[1, i].mean(axis=0), A) for i in range(len(tmax))]).T\n", + "\n", + "cc_bounds = [[0, 0.25], [0.25, 0.5], [0.5, 0.75], [0.75, 1]]\n", + "\n", + "plt.figure(figsize=(8, 4))\n", + "\n", + "plt.subplot(121)\n", + "plt.title(\"Simple contagion\")\n", + "for b in cc_bounds:\n", + " plt.semilogx(x, y1[(b[0]<=cc) & (cc<=b[1])].mean(axis=0), \"^\", markersize=ms, color=cmap((b[0] + b[1])/2), alpha=alpha, label=rf\"{b[0]}$\\leq$ C.C.$\\leq${b[1]}\")\n", + "plt.legend()\n", + "plt.ylabel(\"Average neighbor error\")\n", + "plt.xlabel(r\"$t_{max}$\")\n", + "\n", + "plt.subplot(122)\n", + "plt.title(r\"Threshold contagion, $\\tau=2$\")\n", + "for b in cc_bounds:\n", + " plt.semilogx(x, y2[(b[0]<=cc) & (cc<=b[1])].mean(axis=0), \"+\", markersize=ms, color=cmap((b[0] + b[1])/2), alpha=alpha, label=rf\"{b[0]}$\\leq$ C.C.$\\leq${b[1]}\")\n", + "\n", + "plt.legend()\n", + "sns.despine()" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "## Clustering coefficient difference\n", + "\n", + "ms = 4\n", + "alpha = 1\n", + "colormap = plt.cm.plasma\n", + "cmap = lambda x: colormap(np.interp(x, [0, 1], [0.1, 0.8]))\n", + "\n", + "x = tmax\n", + "y1 = np.array([nodal_performance(Q[0, i].mean(axis=0), A) for i in range(len(tmax))]).T\n", + "y2 = np.array([nodal_performance(Q[1, i].mean(axis=0), A) for i in range(len(tmax))]).T\n", + "\n", + "cc_bounds = [[0, 0.25], [0.25, 0.5], [0.5, 0.75], [0.75, 1]]\n", + "\n", + "plt.figure(figsize=(8, 6))\n", + "\n", + "for b in cc_bounds:\n", + " plt.semilogx(x, y1[(b[0]<=cc) & (cc<=b[1])].mean(axis=0) - y2[(b[0]<=cc) & (cc<=b[1])].mean(axis=0), \"^\", markersize=ms, color=cmap((b[0] + b[1])/2), alpha=alpha, label=rf\"{b[0]}$\\leq$ C.C.$\\leq${b[1]}\")\n", + "plt.semilogx(tmax, np.zeros_like(tmax), \"k--\")\n", + "\n", + "plt.xlim([tmax.min()-0.5, tmax.max()+1000])\n", + "plt.legend()\n", + "plt.ylabel(\"Difference in average neighbor error\")\n", + "plt.xlabel(r\"$t_{max}$\")\n", + "\n", + "sns.despine()" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Degree\n", + "\n", + "ms = 4\n", + "alpha = 1\n", + "colormap = plt.cm.plasma\n", + "cmap = lambda x: colormap(np.interp(x, [deg.min(), deg.max()], [0.1, 0.8]))\n", + "\n", + "x = tmax\n", + "y1 = np.array([nodal_performance(Q[0, i].mean(axis=0), A) for i in range(len(tmax))]).T\n", + "y2 = np.array([nodal_performance(Q[1, i].mean(axis=0), A) for i in range(len(tmax))]).T\n", + "\n", + "plt.figure(figsize=(8, 4))\n", + "\n", + "plt.subplot(121)\n", + "plt.title(\"Simple contagion\")\n", + "for k in np.unique(deg):\n", + " plt.semilogx(x, y1[np.where(deg==k)].mean(axis=0), \"^\", markersize=ms, color=cmap(k), alpha=alpha, label=f\"degree-{int(k)} nodes\")\n", + "plt.legend()\n", + "plt.ylabel(\"Average neighbor error\")\n", + "plt.xlabel(r\"$t_{max}$\")\n", + "\n", + "plt.subplot(122)\n", + "plt.title(r\"Threshold contagion, $\\tau=2$\")\n", + "for k in np.unique(deg):\n", + " plt.semilogx(x, y2[np.where(deg==k)].mean(axis=0), \"+\", markersize=ms, color=cmap(k), alpha=alpha, label=f\"degree-{int(k)} nodes\")\n", + "\n", + "plt.legend()\n", + "sns.despine()" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Degree difference\n", + "\n", + "ms = 4\n", + "alpha = 1\n", + "colormap = plt.cm.plasma\n", + "cmap = lambda x: colormap(np.interp(x, [deg.min(), deg.max()], [0.1, 0.8]))\n", + "\n", + "x = tmax\n", + "y1 = np.array([nodal_performance(Q[0, i].mean(axis=0), A) for i in range(len(tmax))]).T\n", + "y2 = np.array([nodal_performance(Q[1, i].mean(axis=0), A) for i in range(len(tmax))]).T\n", + "\n", + "plt.figure(figsize=(8, 6))\n", + "\n", + "for k in np.unique(deg):\n", + " plt.semilogx(x, y1[np.where(deg==k)].mean(axis=0) - y2[np.where(deg==k)].mean(axis=0), \"^\", markersize=ms, color=cmap(k), alpha=alpha, label=f\"degree-{int(k)} nodes\")\n", + "plt.semilogx(tmax, np.zeros_like(tmax), \"k--\")\n", + "\n", + "plt.xlim([tmax.min()-0.5, tmax.max()+1000])\n", + "plt.legend()\n", + "plt.ylabel(\"Average neighbor error\")\n", + "plt.xlabel(r\"$t_{max}$\")\n", + "\n", + "sns.despine()" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "ename": "IndexError", + "evalue": "too many indices for array: array is 2-dimensional, but 3 were indexed", + "output_type": "error", + "traceback": [ + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[0;31mIndexError\u001b[0m Traceback (most recent call last)", + "Cell \u001b[0;32mIn[7], line 7\u001b[0m\n\u001b[1;32m 5\u001b[0m plt\u001b[38;5;241m.\u001b[39msubplot(\u001b[38;5;241m121\u001b[39m)\n\u001b[1;32m 6\u001b[0m plt\u001b[38;5;241m.\u001b[39mtitle(\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mSimple Contagion\u001b[39m\u001b[38;5;124m\"\u001b[39m)\n\u001b[0;32m----> 7\u001b[0m plt\u001b[38;5;241m.\u001b[39mimshow(Q[\u001b[38;5;241m0\u001b[39m, t_idx]\u001b[38;5;241m.\u001b[39mmean(axis\u001b[38;5;241m=\u001b[39m\u001b[38;5;241m0\u001b[39m) \u001b[38;5;241m-\u001b[39m \u001b[43mA\u001b[49m\u001b[43m[\u001b[49m\u001b[38;5;241;43m0\u001b[39;49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;241;43m0\u001b[39;49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;241;43m0\u001b[39;49m\u001b[43m]\u001b[49m, cmap\u001b[38;5;241m=\u001b[39mcmr\u001b[38;5;241m.\u001b[39mredshift, vmin\u001b[38;5;241m=\u001b[39m\u001b[38;5;241m-\u001b[39m\u001b[38;5;241m1\u001b[39m, vmax\u001b[38;5;241m=\u001b[39m\u001b[38;5;241m1\u001b[39m, aspect\u001b[38;5;241m=\u001b[39m\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mauto\u001b[39m\u001b[38;5;124m\"\u001b[39m)\n\u001b[1;32m 8\u001b[0m plt\u001b[38;5;241m.\u001b[39mxticks([], [])\n\u001b[1;32m 9\u001b[0m plt\u001b[38;5;241m.\u001b[39myticks([], [])\n", + "\u001b[0;31mIndexError\u001b[0m: too many indices for array: array is 2-dimensional, but 3 were indexed" + ] + }, + { + "data": { + "image/png": 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", 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "n_c = Q.shape[0]\n", + "t_idx = 31\n", + "fig = plt.figure(figsize=(8, 4))\n", + "plt.suptitle(f\"Time = {tmax[t_idx]}\")\n", + "plt.subplot(121)\n", + "plt.title(\"Simple Contagion\")\n", + "plt.imshow(Q[0, t_idx].mean(axis=0) - A[0, 0, 0], cmap=cmr.redshift, vmin=-1, vmax=1, aspect=\"auto\")\n", + "plt.xticks([], [])\n", + "plt.yticks([], [])\n", + "\n", + "plt.subplot(122)\n", + "plt.title(\"Complex Contagion\")\n", + "im = plt.imshow(Q[1, t_idx].mean(axis=0) - A[0, 0, 0], cmap=cmr.redshift, vmin=-1, vmax=1, aspect=\"auto\")\n", + "plt.xticks([], [])\n", + "plt.yticks([], [])\n", + "plt.colorbar(im)\n", + "\n", + "plt.tight_layout()\n", + "plt.savefig(f\"test_local_learning/test_{t_idx}.png\")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "plt.spy(np.abs(Q[1, 32].mean(axis=0) - A[0, 0, 0]) > 0.2)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "G = nx.Graph(np.abs(Q[1, 32].mean(axis=0) - A[0, 0, 0]) > 0.2)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "nx.draw(G, node_size=2, pos=nx.circular_layout(G))" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "hyper", + "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": "3.10.0" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +}