From 83a52333c159683a2810aa462f77fa4a68628e93 Mon Sep 17 00:00:00 2001 From: Nicholas Landry Date: Fri, 17 Nov 2023 00:51:17 -0500 Subject: [PATCH 1/9] added the start of an illustration --- fitting_ipn.ipynb => Extra/fitting_ipn.ipynb | 0 lcs/generative.py | 11 +- plot_fig2.ipynb | 121 ++---- plot_illustration.ipynb | 197 ++++++++++ requirements.txt | 3 +- .../entropy_metrics/entropy_metrics.ipynb | 361 ++++++++++-------- 6 files changed, 443 insertions(+), 250 deletions(-) rename fitting_ipn.ipynb => Extra/fitting_ipn.ipynb (100%) create mode 100644 plot_illustration.ipynb diff --git a/fitting_ipn.ipynb b/Extra/fitting_ipn.ipynb similarity index 100% rename from fitting_ipn.ipynb rename to Extra/fitting_ipn.ipynb diff --git a/lcs/generative.py b/lcs/generative.py index 8d69d3e..04e10fc 100644 --- a/lcs/generative.py +++ b/lcs/generative.py @@ -5,9 +5,14 @@ import xgi -def zkc(): - G = nx.karate_club_graph() - return nx.adjacency_matrix(G).todense() +def zkc(format="adjacency"): + match format: + case "adjacency": + G = nx.karate_club_graph() + return nx.adjacency_matrix(G, weight=None).todense() + case "edgelist": + G = nx.karate_club_graph() + return [[i, j] for i, j in G.edges] def erdos_renyi(n, p, seed=None): diff --git a/plot_fig2.ipynb b/plot_fig2.ipynb index 0b7d301..ee1236a 100644 --- a/plot_fig2.ipynb +++ b/plot_fig2.ipynb @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "code", - "execution_count": 1, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -10,12 +10,13 @@ "import matplotlib.pyplot as plt\n", "from lcs import *\n", "import os\n", - "import json" + "import json\n", + "import seaborn as sns" ] }, { "cell_type": "code", - "execution_count": 8, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -23,53 +24,35 @@ "\n", "with open(fname) as file:\n", " data = json.load(file)\n", - "p = np.array(data[\"p\"], dtype=float)\n", - "ps = np.array(data[\"ps\"], dtype=float)\n", - "sps = np.array(data[\"sps\"], dtype=float)" + "p_er = np.array(data[\"p\"], dtype=float)\n", + "ps_er = np.array(data[\"ps\"], dtype=float)\n", + "sps_er = np.array(data[\"sps\"], dtype=float)" ] }, { "cell_type": "code", - "execution_count": 9, + "execution_count": null, "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "Text(0, 0.5, 'PS')" - ] - }, - "execution_count": 9, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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", 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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "l = [\"Simple contagion\", \"Threshold contagion, tau=2\", \"Threshold contagion, tau=3\"]\n", "\n", - "for i in range(sps.shape[0]):\n", - " ps_mean = np.mean(sps, axis=2)[i]\n", - " ps_std = np.std(sps, axis=2)[i]\n", - " plt.plot(p, ps_mean, \"^-\", label=l[i])\n", - " plt.fill_between(p, ps_mean - ps_std, ps_mean + ps_std, alpha=0.4)\n", + "for i in range(sps_er.shape[0]):\n", + " ps_mean = np.mean(sps_er, axis=2)[i]\n", + " ps_std = np.std(sps_er, axis=2)[i]\n", + " plt.plot(p_er, ps_mean, \"^-\", label=l[i])\n", + " plt.fill_between(p_er, ps_mean - ps_std, ps_mean + ps_std, alpha=0.4)\n", "plt.legend()\n", "plt.xlabel(\"p (for Erdos-Renyi)\")\n", - "plt.ylabel(\"PS\")" + "plt.ylabel(\"PS\")\n", + "plt.xlim([0, 1])\n", + "plt.ylim([0, 1])\n", + "sns.despine()" ] }, { "cell_type": "code", - "execution_count": 4, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -77,68 +60,30 @@ "\n", "with open(fname) as file:\n", " data = json.load(file)\n", - "p = np.array(data[\"p\"], dtype=float)\n", - "ps = np.array(data[\"ps\"], dtype=float)\n", - "sps = np.array(data[\"sps\"], dtype=float)" + "p_ws = np.array(data[\"p\"], dtype=float)\n", + "ps_ws = np.array(data[\"ps\"], dtype=float)\n", + "sps_ws = np.array(data[\"sps\"], dtype=float)" ] }, { "cell_type": "code", - "execution_count": 5, + "execution_count": null, "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "Text(0, 0.5, 'PS')" - ] - }, - "execution_count": 5, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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", 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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "l = [\"Simple contagion\", \"Threshold contagion, tau=2\", \"Threshold contagion, tau=3\"]\n", "\n", - "for i in range(sps.shape[0]):\n", - " ps_mean = np.mean(sps, axis=2)[i]\n", - " ps_std = np.std(sps, axis=2)[i]\n", - " plt.semilogx(p, ps_mean, label=l[i])\n", - " plt.fill_between(p, ps_mean - ps_std, ps_mean + ps_std, alpha=0.4)\n", + "for i in range(sps_ws.shape[0]):\n", + " ps_mean = np.mean(sps_ws, axis=2)[i]\n", + " ps_std = np.std(sps_ws, axis=2)[i]\n", + " plt.semilogx(p_ws, ps_mean, label=l[i])\n", + " plt.fill_between(p_ws, ps_mean - ps_std, ps_mean + ps_std, alpha=0.4)\n", "plt.legend()\n", "plt.xlabel(\"p (for Erdos-Renyi)\")\n", - "plt.ylabel(\"PS\")" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "nx.draw(nx.watts_strogatz_graph(50, 6, 1e-6))" + "plt.ylabel(\"PS\")\n", + "plt.xlim([1e-6, 1])\n", + "plt.ylim([0, 1])\n", + "sns.despine()" ] }, { diff --git a/plot_illustration.ipynb b/plot_illustration.ipynb new file mode 100644 index 0000000..045918a --- /dev/null +++ b/plot_illustration.ipynb @@ -0,0 +1,197 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 53, + "metadata": {}, + "outputs": [], + "source": [ + "from lcs import *\n", + "import xgi\n", + "import numpy as np\n", + "import matplotlib.pyplot as plt" + ] + }, + { + "cell_type": "code", + "execution_count": 54, + "metadata": {}, + "outputs": [], + "source": [ + "el = zkc(format=\"edgelist\")\n", + "H = xgi.Hypergraph(el)\n", + "A = zkc()\n", + "n = A.shape[0]" + ] + }, + { + "cell_type": "code", + "execution_count": 55, + "metadata": {}, + "outputs": [], + "source": [ + "gamma = 0.2\n", + "b = 0.07\n", + "contagion_function = lambda nu, b: 1 - (1 - b) ** nu\n", + "c = contagion_function(np.arange(n), b)\n", + "x0 = np.zeros(n)\n", + "x0[0] = 1\n", + "\n", + "x = contagion_process(A, gamma, c, x0, tmin=0, tmax=100, random_seed=2)" + ] + }, + { + "cell_type": "code", + "execution_count": 56, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 56, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.spy(x.T)" + ] + }, + { + "cell_type": "code", + "execution_count": 107, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/Users/nicholaslandry/Documents/GitHub/xgi/xgi/drawing/draw.py:472: UserWarning: No data for colormapping provided via 'c'. Parameters 'cmap' will be ignored\n", + " node_collection = ax.scatter(\n" + ] + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "pos = xgi.pca_transform(xgi.pairwise_spring_layout(H, seed=5, k=0.3))\n", + "node_fc = [\"white\" if x[-1, i] == 0 else \"maroon\" for i in H.nodes]\n", + "node_fc[12] = \"green\"\n", + "xgi.draw(H, pos=pos, node_size=10, node_fc=node_fc)\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 108, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "NodeView((0, 1, 2, 3, 4, 5, 6, 7, 8, 10, 11, 12, 13, 17, 19, 21, 31, 30, 9, 27, 28, 32, 16, 33, 14, 15, 18, 20, 22, 23, 25, 29, 24, 26))" + ] + }, + "execution_count": 108, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "H.nodes" + ] + }, + { + "cell_type": "code", + "execution_count": 112, + "metadata": {}, + "outputs": [], + "source": [ + "i = 13\n", + "nbrs = H.nodes.neighbors(i)\n", + "edgelist = [[i, j] for j in nbrs]\n", + "subH = xgi.Hypergraph(edgelist)" + ] + }, + { + "cell_type": "code", + "execution_count": 114, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/Users/nicholaslandry/Documents/GitHub/xgi/xgi/drawing/draw.py:472: UserWarning: No data for colormapping provided via 'c'. Parameters 'cmap' will be ignored\n", + " node_collection = ax.scatter(\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "node_fc = [\"white\" if val == 0 else \"maroon\" for val in x[-1, subH.nodes]]\n", + "node_fc[0] = \"green\"\n", + "xgi.draw(subH, pos=pos, node_size=10, node_fc=node_fc)\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "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 +} diff --git a/requirements.txt b/requirements.txt index a3d0661..5520056 100644 --- a/requirements.txt +++ b/requirements.txt @@ -5,4 +5,5 @@ matplotlib numba pytest xgi -arviz \ No newline at end of file +arviz +seaborn \ No newline at end of file diff --git a/scripts/will/entropy_metrics/entropy_metrics.ipynb b/scripts/will/entropy_metrics/entropy_metrics.ipynb index 3e63c4d..f99c738 100644 --- a/scripts/will/entropy_metrics/entropy_metrics.ipynb +++ b/scripts/will/entropy_metrics/entropy_metrics.ipynb @@ -7,7 +7,8 @@ "outputs": [], "source": [ "import sys\n", - "sys.path.append('../../../')\n", + "\n", + "sys.path.append(\"../../../\")\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from lcs import *\n", @@ -19,43 +20,42 @@ "import pandas as pd\n", "import seaborn as sns\n", "from tqdm import tqdm\n", - "random.seed(1234)\n", - "\n", "\n", + "random.seed(1234)\n", "\n", "\n", - "def calc_entropy(mat,normalized = True):\n", - " c_1d = mat.ravel()#turn into 1d distribution\n", - " p_1d = c_1d / np.sum(c_1d)#normalize the distribution\n", - " #p_1d = c_1d #do not normalize\n", - " p_1d_masked = p_1d[p_1d>0]#remove the zeros\n", - " entropy = -np.sum(p_1d_masked * np.log2(p_1d_masked))#calculate the entropy\n", + "def calc_entropy(mat, normalized=True):\n", + " c_1d = mat.ravel() # turn into 1d distribution\n", + " p_1d = c_1d / np.sum(c_1d) # normalize the distribution\n", + " # p_1d = c_1d #do not normalize\n", + " p_1d_masked = p_1d[p_1d > 0] # remove the zeros\n", + " entropy = -np.sum(p_1d_masked * np.log2(p_1d_masked)) # calculate the entropy\n", " if normalized == True:\n", " return entropy\n", " else:\n", - " return entropy*mat.sum()\n", - " \n", + " return entropy * mat.sum()\n", + "\n", "\n", - "def degree_infection_hist(my_A,my_c_i):\n", - " degree_mat = my_A.sum(axis = 1)\n", + "def degree_infection_hist(my_A, my_c_i):\n", + " degree_mat = my_A.sum(axis=1)\n", " max_degree = degree_mat.max()\n", - " degree_df = pd.DataFrame(degree_mat,columns=['degree'])\n", + " degree_df = pd.DataFrame(degree_mat, columns=[\"degree\"])\n", "\n", " ci_df = pd.DataFrame(my_c_i)\n", - " ci_degree = degree_df.join(ci_df)\n", - " #max column\n", - " max_col = my_c_i[my_c_i.any(axis = 0)].shape[0]\n", + " ci_degree = degree_df.join(ci_df)\n", + " # max column\n", + " max_col = my_c_i[my_c_i.any(axis=0)].shape[0]\n", "\n", - " #ci_degree.set_index_degree = ci_degree.set_index('degree')\n", - " ci_degree.sort_index(inplace = True)\n", - " ci_degree_hist = ci_degree.groupby('degree').sum()\n", - " ci_degree_hist_cut = ci_degree_hist.iloc[:,:max_col]\n", - " ci_degree_hist_cut.sort_values(by = 'degree',ascending = False,inplace = True)\n", + " # ci_degree.set_index_degree = ci_degree.set_index('degree')\n", + " ci_degree.sort_index(inplace=True)\n", + " ci_degree_hist = ci_degree.groupby(\"degree\").sum()\n", + " ci_degree_hist_cut = ci_degree_hist.iloc[:, :max_col]\n", + " ci_degree_hist_cut.sort_values(by=\"degree\", ascending=False, inplace=True)\n", " ci_degree_hist_mat = ci_degree_hist_cut.to_numpy()\n", " degree_list = ci_degree_hist_cut.index.to_numpy()\n", " infection_count = ci_degree_hist_cut.columns.values\n", "\n", - " return ci_degree_hist_mat,degree_list,infection_count" + " return ci_degree_hist_mat, degree_list, infection_count" ] }, { @@ -64,11 +64,12 @@ "metadata": {}, "outputs": [], "source": [ + "def a_prime(f, a, b):\n", + " return (f + a + b - 1) / (f * (b / a + 1))\n", "\n", - "def a_prime(f,a,b):\n", - " return (f+a+b-1)/(f*(b/a+1))\n", - "def b_prime(a,b,a_prime):\n", - " return b*a_prime/a\n" + "\n", + "def b_prime(a, b, a_prime):\n", + " return b * a_prime / a" ] }, { @@ -88,32 +89,33 @@ } ], "source": [ - "\n", - "#x0 = np.zeros(n)\n", - "#x0[random.randrange(n)] = 1\n", + "# x0 = np.zeros(n)\n", + "# x0[random.randrange(n)] = 1\n", "\n", "gamma0 = 0.1\n", "nu = eigh(A)[0][-1]\n", "b0 = 2 * gamma0 / nu\n", - "#b0 = 0.1\n", + "# b0 = 0.1\n", "\n", - "f_range = np.linspace(1-b0-gamma0,10,20)#the range of spreading rates\n", - "gamma_range = a_prime(f_range,gamma0,b0)#generate the corresponding recovery rates\n", - "b_range = b_prime(gamma0,b0,gamma_range)#generate the corresponding transmission rates\n", + "f_range = np.linspace(1 - b0 - gamma0, 10, 20) # the range of spreading rates\n", + "gamma_range = a_prime(f_range, gamma0, b0) # generate the corresponding recovery rates\n", + "b_range = b_prime(\n", + " gamma0, b0, gamma_range\n", + ") # generate the corresponding transmission rates\n", "\n", "\n", - "fig,ax = plt.subplots(nrows = 3 )\n", - "ax[0].plot(f_range,gamma_range)\n", - "ax[0].set(xlabel = 'f',ylabel = '$\\gamma(f)$')\n", + "fig, ax = plt.subplots(nrows=3)\n", + "ax[0].plot(f_range, gamma_range)\n", + "ax[0].set(xlabel=\"f\", ylabel=\"$\\gamma(f)$\")\n", "\n", - "ax[1].plot(f_range,b_range)\n", - "ax[1].set(xlabel = 'f',ylabel = r'$\\beta(f)$')\n", + "ax[1].plot(f_range, b_range)\n", + "ax[1].set(xlabel=\"f\", ylabel=r\"$\\beta(f)$\")\n", "\n", - "ax[2].plot(f_range,1-gamma_range-b_range)\n", - "ax[2].set(xlabel = 'f',ylabel = r'$1- \\beta(f) - \\alpha(f)$')\n", + "ax[2].plot(f_range, 1 - gamma_range - b_range)\n", + "ax[2].set(xlabel=\"f\", ylabel=r\"$1- \\beta(f) - \\alpha(f)$\")\n", "\n", - "plt.suptitle('Infection Paramters adjusted for constant $R_0$')\n", - "plt.tight_layout()\n" + "plt.suptitle(\"Infection Paramters adjusted for constant $R_0$\")\n", + "plt.tight_layout()" ] }, { @@ -127,7 +129,7 @@ "\n", "nsamples = 20000\n", "\n", - "G = nx.barabasi_albert_graph(100,4)\n", + "G = nx.barabasi_albert_graph(100, 4)\n", "A = nx.adjacency_matrix(G, weight=None).todense()\n", "n = np.size(A, axis=0)\n", "\n", @@ -135,7 +137,7 @@ "sc = lambda nu, b: 1 - (1 - b) ** nu\n", "c = sc(np.arange(n), b0)\n", "\n", - "x = contagion_process(A, gamma0, c, x0, tmin=0, tmax=100)\n" + "x = contagion_process(A, gamma0, c, x0, tmin=0, tmax=100)" ] }, { @@ -195,7 +197,6 @@ } ], "source": [ - "\n", "plt.imshow(c_i)" ] }, @@ -246,25 +247,25 @@ } ], "source": [ - "\n", - "\n", "gamma0 = 0.1\n", "nu = eigh(A)[0][-1]\n", "b0 = 2 * gamma0 / nu\n", - "#b0 = 0.1\n", + "# b0 = 0.1\n", "\n", - "f_range = np.linspace(1-b0-gamma0,10,20)#the range of spreading rates\n", - "gamma_range = a_prime(f_range,gamma0,b0)#generate the corresponding recovery rates\n", - "b_range = b_prime(gamma0,b0,gamma_range)#generate the corresponding transmission rates\n", + "f_range = np.linspace(1 - b0 - gamma0, 10, 20) # the range of spreading rates\n", + "gamma_range = a_prime(f_range, gamma0, b0) # generate the corresponding recovery rates\n", + "b_range = b_prime(\n", + " gamma0, b0, gamma_range\n", + ") # generate the corresponding transmission rates\n", "\n", "\n", "x_list = []\n", "c_list = []\n", "n_iter = 100\n", - "entropy_res = np.zeros((len(f_range),n_iter))\n", - "entropy_no_norm_res = np.zeros((len(f_range),n_iter))\n", + "entropy_res = np.zeros((len(f_range), n_iter))\n", + "entropy_no_norm_res = np.zeros((len(f_range), n_iter))\n", "\n", - "for i,f in enumerate(f_range):\n", + "for i, f in enumerate(f_range):\n", " print(i)\n", " for j in range(n_iter):\n", " gamma_i = gamma_range[i]\n", @@ -272,11 +273,11 @@ " sc = lambda nu, b: 1 - (1 - b) ** nu\n", " c = sc(np.arange(n), b_i)\n", " x = contagion_process(A, gamma_i, c, x0, tmin=0, tmax=100)\n", - " #x_list.append(x)\n", - " c_i, nu_i = count_all_infection_events(x,A)\n", - " #c_list.append(c_i)\n", - " entropy_res[i,j] = calc_entropy(c_i)\n", - " entropy_no_norm_res[i,j] = calc_entropy(c_i,normalized=False)\n" + " # x_list.append(x)\n", + " c_i, nu_i = count_all_infection_events(x, A)\n", + " # c_list.append(c_i)\n", + " entropy_res[i, j] = calc_entropy(c_i)\n", + " entropy_no_norm_res[i, j] = calc_entropy(c_i, normalized=False)" ] }, { @@ -334,18 +335,33 @@ } ], "source": [ - "def make_long_df(entropy_res,f_range):\n", + "def make_long_df(entropy_res, f_range):\n", " df = pd.DataFrame(entropy_res.T)\n", " df.columns = f_range\n", - " df = df.melt(var_name='f', value_name='entropy')\n", - " return df \n", - "df_entropy = make_long_df(entropy_res,f_range)\n", - "df_entropy_no_norm = make_long_df(entropy_no_norm_res,f_range)\n", + " df = df.melt(var_name=\"f\", value_name=\"entropy\")\n", + " return df\n", + "\n", + "\n", + "df_entropy = make_long_df(entropy_res, f_range)\n", + "df_entropy_no_norm = make_long_df(entropy_no_norm_res, f_range)\n", "\n", - "df_joined = df_entropy.merge(df_entropy_no_norm,on='f',suffixes=('_norm','_no_norm'))\n", - "df_joined_melt = df_joined.melt(id_vars='f',value_vars=['entropy_norm','entropy_no_norm'],var_name='entropy_type',value_name='entropy')\n", + "df_joined = df_entropy.merge(df_entropy_no_norm, on=\"f\", suffixes=(\"_norm\", \"_no_norm\"))\n", + "df_joined_melt = df_joined.melt(\n", + " id_vars=\"f\",\n", + " value_vars=[\"entropy_norm\", \"entropy_no_norm\"],\n", + " var_name=\"entropy_type\",\n", + " value_name=\"entropy\",\n", + ")\n", "\n", - "sns.relplot(df_joined_melt,x = 'f',y = 'entropy',kind = 'line',row = 'entropy_type',facet_kws={'sharey': False},aspect = 2)\n", + "sns.relplot(\n", + " df_joined_melt,\n", + " x=\"f\",\n", + " y=\"entropy\",\n", + " kind=\"line\",\n", + " row=\"entropy_type\",\n", + " facet_kws={\"sharey\": False},\n", + " aspect=2,\n", + ")\n", "plt.suptitle(\"Entropy for $m_l$ for different $f$\")\n", "plt.tight_layout()" ] @@ -909,16 +925,15 @@ } ], "source": [ - "\n", - "#G = nx.karate_club_graph()\n", - "#G = nx.barabasi_albert_graph(100,4)\n", - "G = nx.erdos_renyi_graph(200,0.1)\n", + "# G = nx.karate_club_graph()\n", + "# G = nx.barabasi_albert_graph(100,4)\n", + "G = nx.erdos_renyi_graph(200, 0.1)\n", "A = nx.adjacency_matrix(G, weight=None).todense()\n", "n = np.size(A, axis=0)\n", "\n", "x0 = np.ones(n)\n", - "#x0 = np.zeros(n)\n", - "#x0[random.randrange(n)] = 1\n", + "# x0 = np.zeros(n)\n", + "# x0[random.randrange(n)] = 1\n", "\n", "gamma0 = 0.1\n", "nu = eigh(A)[0][-1]\n", @@ -929,39 +944,40 @@ "c = sc(np.arange(n), b0)\n", "\n", "\n", - "gamma_range = np.linspace(0.01,0.4,10)\n", - "b_range = np.linspace(0.01,0.4,10)\n", + "gamma_range = np.linspace(0.01, 0.4, 10)\n", + "b_range = np.linspace(0.01, 0.4, 10)\n", "n_iter = 1\n", "\n", - "entropy_res = np.zeros((len(gamma_range),len(b_range),n_iter))\n", - "entropy_no_norm_res = np.zeros((len(gamma_range),len(b_range),n_iter))\n", + "entropy_res = np.zeros((len(gamma_range), len(b_range), n_iter))\n", + "entropy_no_norm_res = np.zeros((len(gamma_range), len(b_range), n_iter))\n", "\n", - "degree_c_i_entropy_res = np.zeros((len(gamma_range),len(b_range),n_iter))\n", - "degree_c_i_entropy_no_norm_res = np.zeros((len(gamma_range),len(b_range),n_iter))\n", + "degree_c_i_entropy_res = np.zeros((len(gamma_range), len(b_range), n_iter))\n", + "degree_c_i_entropy_no_norm_res = np.zeros((len(gamma_range), len(b_range), n_iter))\n", "\n", "results = dict()\n", "\n", - "for i,gamma_i in tqdm(enumerate(gamma_range)):\n", - " for j,b_i in enumerate(b_range):\n", + "for i, gamma_i in tqdm(enumerate(gamma_range)):\n", + " for j, b_i in enumerate(b_range):\n", "\n", - " t_i = gamma_i/gamma0 * t0\n", + " t_i = gamma_i / gamma0 * t0\n", "\n", " for k in range(n_iter):\n", - " \n", + "\n", " c = sc(np.arange(n), b_i)\n", " x = contagion_process(A, gamma_i, c, x0, tmin=0, tmax=t_i)\n", - " c_i, nu_i = count_all_infection_events(x,A)\n", - " #c_list.append(c_i)\n", - " degree_c_i_mat,_,_ = degree_infection_hist(A,c_i)\n", + " c_i, nu_i = count_all_infection_events(x, A)\n", + " # c_list.append(c_i)\n", + " degree_c_i_mat, _, _ = degree_infection_hist(A, c_i)\n", "\n", + " entropy_res[i, j, k] = calc_entropy(c_i)\n", + " entropy_no_norm_res[i, j, k] = calc_entropy(c_i, normalized=False)\n", "\n", - " entropy_res[i,j,k] = calc_entropy(c_i)\n", - " entropy_no_norm_res[i,j,k] = calc_entropy(c_i,normalized=False)\n", + " degree_c_i_entropy_res[i, j, k] = calc_entropy(degree_c_i_mat)\n", + " degree_c_i_entropy_no_norm_res[i, j, k] = calc_entropy(\n", + " degree_c_i_mat, normalized=False\n", + " )\n", "\n", - " degree_c_i_entropy_res[i,j,k] = calc_entropy(degree_c_i_mat)\n", - " degree_c_i_entropy_no_norm_res[i,j,k] = calc_entropy(degree_c_i_mat,normalized=False)\n", - "\n", - " results[f\"{i}_{j}_{k}\"] = x\n" + " results[f\"{i}_{j}_{k}\"] = x" ] }, { @@ -982,62 +998,79 @@ ], "source": [ "import matplotlib.ticker as ticker\n", - "mean_entropty = np.mean(entropy_res,axis=2)\n", - "mean_entropty_no_norm_res = np.mean(entropy_no_norm_res,axis=2)\n", + "\n", + "mean_entropty = np.mean(entropy_res, axis=2)\n", + "mean_entropty_no_norm_res = np.mean(entropy_no_norm_res, axis=2)\n", "\n", "\n", - "degree_c_i_mean_entropty = np.mean(degree_c_i_entropy_res,axis=2)\n", - "degree_c_i_mean_entropty_no_norm_res = np.mean(degree_c_i_entropy_no_norm_res,axis=2)\n", - "#formatter = ticker.FuncFormatter(lambda x, pos: f'{x:.2f}')\n", - "formatter = ticker.FormatStrFormatter('%.2f')\n", - "fig,ax = plt.subplots(ncols = 2,nrows = 2,figsize = (20,20))\n", + "degree_c_i_mean_entropty = np.mean(degree_c_i_entropy_res, axis=2)\n", + "degree_c_i_mean_entropty_no_norm_res = np.mean(degree_c_i_entropy_no_norm_res, axis=2)\n", + "# formatter = ticker.FuncFormatter(lambda x, pos: f'{x:.2f}')\n", + "formatter = ticker.FormatStrFormatter(\"%.2f\")\n", + "fig, ax = plt.subplots(ncols=2, nrows=2, figsize=(20, 20))\n", "\n", - "im1 = ax[0,0].imshow(mean_entropty, extent=[min(b_range), max(b_range), max(gamma_range), min(gamma_range)])\n", - "ax[0,0].set(ylabel = r'$\\gamma$',xlabel = r'$\\beta$',title = \"Entropy for $C_i$\")\n", - "#ax[0,0].set_xticks(np.arange(len(b_range)))\n", - "#ax[0,0].set_xticklabels(b_range)\n", - "#ax[0,0].set_yticks(np.arange(len(gamma_range)))\n", - "#ax[0,0].set_yticklabels(gamma_range)\n", - "#ax[0,0].xaxis.set_major_formatter(formatter)\n", - "#ax[0,0].yaxis.set_major_formatter(formatter)\n", - "fig.colorbar(im1, ax=ax[0,0])\n", + "im1 = ax[0, 0].imshow(\n", + " mean_entropty,\n", + " extent=[min(b_range), max(b_range), max(gamma_range), min(gamma_range)],\n", + ")\n", + "ax[0, 0].set(ylabel=r\"$\\gamma$\", xlabel=r\"$\\beta$\", title=\"Entropy for $C_i$\")\n", + "# ax[0,0].set_xticks(np.arange(len(b_range)))\n", + "# ax[0,0].set_xticklabels(b_range)\n", + "# ax[0,0].set_yticks(np.arange(len(gamma_range)))\n", + "# ax[0,0].set_yticklabels(gamma_range)\n", + "# ax[0,0].xaxis.set_major_formatter(formatter)\n", + "# ax[0,0].yaxis.set_major_formatter(formatter)\n", + "fig.colorbar(im1, ax=ax[0, 0])\n", "\n", - "im2 = ax[0,1].imshow(mean_entropty_no_norm_res, extent=[min(b_range), max(b_range), max(gamma_range), min(gamma_range)])\n", - "ax[0,1].set(ylabel = r'$\\gamma$',xlabel = r'$\\beta$',title = \"Non Normalized Entropy for $C_i$\")\n", - "#ax[0,1].set_xticks(np.arange(len(b_range)))\n", - "#ax[0,1].set_xticklabels(b_range)\n", - "#ax[0,1].set_yticks(np.arange(len(gamma_range)))\n", - "#ax[0,1].set_yticklabels(gamma_range)\n", - "ax[0,1].xaxis.set_major_formatter(formatter)\n", - "ax[0,1].yaxis.set_major_formatter(formatter)\n", - "fig.colorbar(im2, ax=ax[0,1])\n", + "im2 = ax[0, 1].imshow(\n", + " mean_entropty_no_norm_res,\n", + " extent=[min(b_range), max(b_range), max(gamma_range), min(gamma_range)],\n", + ")\n", + "ax[0, 1].set(\n", + " ylabel=r\"$\\gamma$\", xlabel=r\"$\\beta$\", title=\"Non Normalized Entropy for $C_i$\"\n", + ")\n", + "# ax[0,1].set_xticks(np.arange(len(b_range)))\n", + "# ax[0,1].set_xticklabels(b_range)\n", + "# ax[0,1].set_yticks(np.arange(len(gamma_range)))\n", + "# ax[0,1].set_yticklabels(gamma_range)\n", + "ax[0, 1].xaxis.set_major_formatter(formatter)\n", + "ax[0, 1].yaxis.set_major_formatter(formatter)\n", + "fig.colorbar(im2, ax=ax[0, 1])\n", "\n", - "im3 = ax[1,0].imshow(degree_c_i_mean_entropty, extent=[min(b_range), max(b_range), max(gamma_range), min(gamma_range)])\n", - "ax[1,0].set(ylabel = r'$\\gamma$',xlabel = r'$\\beta$',title = \"Entropy for Degree Mat\")\n", - "#ax[1,0].set_xticks(np.arange(len(b_range)))\n", - "#ax[1,0].set_xticklabels(b_range)\n", - "#ax[1,0].set_yticks(np.arange(len(gamma_range)))\n", - "#ax[1,0].set_yticklabels(gamma_range)\n", - "ax[1,0].xaxis.set_major_formatter(formatter)\n", - "ax[1,0].yaxis.set_major_formatter(formatter)\n", - "fig.colorbar(im3, ax=ax[1,0])\n", + "im3 = ax[1, 0].imshow(\n", + " degree_c_i_mean_entropty,\n", + " extent=[min(b_range), max(b_range), max(gamma_range), min(gamma_range)],\n", + ")\n", + "ax[1, 0].set(ylabel=r\"$\\gamma$\", xlabel=r\"$\\beta$\", title=\"Entropy for Degree Mat\")\n", + "# ax[1,0].set_xticks(np.arange(len(b_range)))\n", + "# ax[1,0].set_xticklabels(b_range)\n", + "# ax[1,0].set_yticks(np.arange(len(gamma_range)))\n", + "# ax[1,0].set_yticklabels(gamma_range)\n", + "ax[1, 0].xaxis.set_major_formatter(formatter)\n", + "ax[1, 0].yaxis.set_major_formatter(formatter)\n", + "fig.colorbar(im3, ax=ax[1, 0])\n", "\n", - "im4 = ax[1,1].imshow(degree_c_i_mean_entropty_no_norm_res, extent=[min(b_range), max(b_range), max(gamma_range), min(gamma_range)])\n", - "ax[1,1].set(ylabel = r'$\\gamma$',xlabel = r'$\\beta$',title = \"Non Normalized Entropy for Degree Mat\")\n", - "#ax[1,1].set_xticks(np.arange(len(b_range)))\n", - "#ax[1,1].set_xticklabels(b_range)\n", - "#ax[1,1].set_yticks(np.arange(len(gamma_range)))\n", - "#ax[1,1].set_yticklabels(gamma_range)\n", - "ax[1,1].xaxis.set_major_formatter(formatter)\n", - "ax[1,1].yaxis.set_major_formatter(formatter)\n", - "fig.colorbar(im4, ax=ax[1,1])\n", + "im4 = ax[1, 1].imshow(\n", + " degree_c_i_mean_entropty_no_norm_res,\n", + " extent=[min(b_range), max(b_range), max(gamma_range), min(gamma_range)],\n", + ")\n", + "ax[1, 1].set(\n", + " ylabel=r\"$\\gamma$\", xlabel=r\"$\\beta$\", title=\"Non Normalized Entropy for Degree Mat\"\n", + ")\n", + "# ax[1,1].set_xticks(np.arange(len(b_range)))\n", + "# ax[1,1].set_xticklabels(b_range)\n", + "# ax[1,1].set_yticks(np.arange(len(gamma_range)))\n", + "# ax[1,1].set_yticklabels(gamma_range)\n", + "ax[1, 1].xaxis.set_major_formatter(formatter)\n", + "ax[1, 1].yaxis.set_major_formatter(formatter)\n", + "fig.colorbar(im4, ax=ax[1, 1])\n", "\n", "# Add a single colorbar for all subplots\n", - "#fig.colorbar(im, ax=ax.ravel().tolist())\n", + "# fig.colorbar(im, ax=ax.ravel().tolist())\n", "\n", "plt.suptitle(r\"Mean Entropy of $m_l$ for different $\\gamma$ and $\\beta$\")\n", "plt.tight_layout()\n", - "plt.savefig(\"\")\n" + "plt.savefig(\"\")" ] }, { @@ -1085,25 +1118,31 @@ } ], "source": [ - "\n", - "fig,ax = plt.subplots(ncols = 3,figsize = (20,5))\n", + "fig, ax = plt.subplots(ncols=3, figsize=(20, 5))\n", "\n", "\n", "gamma_index = 8\n", "beta_index = 0\n", "\n", - "key = f'{gamma_index}_{beta_index}_0'\n", + "key = f\"{gamma_index}_{beta_index}_0\"\n", "x_key = results[key]\n", - "c_i,_ = count_all_infection_events(x_key,A)\n", - "degree_infection_hist_mat,degree_list,infection_count = degree_infection_hist(A,c_i)\n", + "c_i, _ = count_all_infection_events(x_key, A)\n", + "degree_infection_hist_mat, degree_list, infection_count = degree_infection_hist(A, c_i)\n", "ax[0].spy(x_key)\n", "ax[1].imshow(c_i)\n", - "ax[2].imshow(degree_infection_hist_mat,extent = [degree_list.min(),degree_list.max(),degree_list.min(),degree_list.max()])\n", + "ax[2].imshow(\n", + " degree_infection_hist_mat,\n", + " extent=[degree_list.min(), degree_list.max(), degree_list.min(), degree_list.max()],\n", + ")\n", "\n", - "ax[0].set(title = \"Contagion Time Series\")\n", - "ax[1].set(title = \"$C_i$ Heatmap\")\n", - "ax[2].set(title = \"$Degree Infection Heatmap\")\n", - "plt.suptitle(\"Gamma Index: {}, Beta Index: {}\".format(gamma_range[gamma_index],b_range[beta_index]))" + "ax[0].set(title=\"Contagion Time Series\")\n", + "ax[1].set(title=\"$C_i$ Heatmap\")\n", + "ax[2].set(title=\"$Degree Infection Heatmap\")\n", + "plt.suptitle(\n", + " \"Gamma Index: {}, Beta Index: {}\".format(\n", + " gamma_range[gamma_index], b_range[beta_index]\n", + " )\n", + ")" ] }, { @@ -1143,22 +1182,28 @@ } ], "source": [ - "\n", "gamma_index = 2\n", "beta_index = 8\n", "\n", - "key = f'{gamma_index}_{beta_index}_0'\n", + "key = f\"{gamma_index}_{beta_index}_0\"\n", "x_key = results[key]\n", - "c_i,_ = count_all_infection_events(x_key,A)\n", - "degree_infection_hist_mat,degree_list,infection_count = degree_infection_hist(A,c_i)\n", + "c_i, _ = count_all_infection_events(x_key, A)\n", + "degree_infection_hist_mat, degree_list, infection_count = degree_infection_hist(A, c_i)\n", "ax[0].spy(x_key)\n", "ax[1].imshow(c_i)\n", - "ax[2].imshow(degree_infection_hist_mat,extent = [degree_list.min(),degree_list.max(),degree_list.min(),degree_list.max()])\n", + "ax[2].imshow(\n", + " degree_infection_hist_mat,\n", + " extent=[degree_list.min(), degree_list.max(), degree_list.min(), degree_list.max()],\n", + ")\n", "\n", - "ax[0].set(title = \"Contagion Time Series\")\n", - "ax[1].set(title = \"$C_i$ Heatmap\")\n", - "ax[2].set(title = \"$Degree Infection Heatmap\")\n", - "plt.suptitle(\"Gamma Index: {}, Beta Index: {}\".format(gamma_range[gamma_index],b_range[beta_index]))" + "ax[0].set(title=\"Contagion Time Series\")\n", + "ax[1].set(title=\"$C_i$ Heatmap\")\n", + "ax[2].set(title=\"$Degree Infection Heatmap\")\n", + "plt.suptitle(\n", + " \"Gamma Index: {}, Beta Index: {}\".format(\n", + " gamma_range[gamma_index], b_range[beta_index]\n", + " )\n", + ")" ] }, { @@ -1188,7 +1233,7 @@ } ], "source": [ - "plt.hist(degree_mat,bins = 20)\n", + "plt.hist(degree_mat, bins=20)\n", "plt.title(\"Degree Distribution\")" ] } From dcf93eee54e1ce14f90175bc7f75583a99dde413 Mon Sep 17 00:00:00 2001 From: Nicholas Landry Date: Fri, 17 Nov 2023 13:49:53 -0500 Subject: [PATCH 2/9] updates --- fig_settings.py | 83 ++++++++++++ plot_fig2.ipynb | 120 ++++++++++++------ plot_illustration.ipynb | 50 ++------ .../entropy_metrics/entropy_metrics.ipynb | 2 - 4 files changed, 177 insertions(+), 78 deletions(-) create mode 100644 fig_settings.py diff --git a/fig_settings.py b/fig_settings.py new file mode 100644 index 0000000..0611e93 --- /dev/null +++ b/fig_settings.py @@ -0,0 +1,83 @@ +# -*- coding: utf-8 -*- +""" +Created on Thu Mar 4 10:11:05 2021 + +@author: John Meluso +""" + +import matplotlib.pylab as pylab +import matplotlib.pyplot as plt +import os + + +def set_fonts(extra_params={}): + params = { + "font.family": "Times New Roman", + "font.sans-serif": ["Tahoma", "DejaVu Sans", "Lucida Grande", "Verdana"], + "mathtext.fontset": "cm", + "legend.fontsize": 10, + "axes.labelsize": 12, + "axes.titlesize": 16, + "xtick.labelsize": 12, + "ytick.labelsize": 12, + "figure.titlesize": 16, + } + for key, value in extra_params.items(): + params[key] = value + pylab.rcParams.update(params) + + +def fig_size(frac_width, frac_height, n_cols=1, n_rows=1): + # Set default sizes + page_width = 8.5 + page_height = 11 + side_margins = 1 + tb_margins = 1 + middle_margin = 0.25 + mid_marg_width = middle_margin * (n_cols - 1) + mid_marg_height = middle_margin * (n_rows - 1) + + # Width logic + if frac_width == 1: + width = page_width - side_margins + else: + width = (page_width - side_margins - mid_marg_width) * frac_width + + # Height logic + if frac_height == 1: + height = page_height - tb_margins + else: + height = (page_height - tb_margins - mid_marg_height) * frac_height + + return (width, height) + + +def get_formats(): + return ["eps", "jpg", "pdf", "png", "tif"] + + +def set_border(ax, top=False, bottom=False, left=False, right=False): + ax.spines["top"].set_visible(top) + ax.spines["right"].set_visible(right) + ax.spines["bottom"].set_visible(bottom) + ax.spines["left"].set_visible(left) + + +def save_publication_fig(name, dpi=1200, **kwargs): + save_fig(name, dpi, fig_type="publication", **kwargs) + + +def save_presentation_fig(name, dpi=1200, **kwargs): + save_fig(name, dpi, fig_type="presentation", **kwargs) + + +def save_fig(name, dpi=1200, fig_type=None, **kwargs): + for ff in get_formats(): + if fig_type: + path = f"../figures/{fig_type}/{ff}" + else: + path = f"../figures/{ff}" + if not os.path.exists(path): + os.makedirs(path) + fname = f"{path}/{name}.{ff}" + plt.savefig(fname, format=ff, dpi=dpi, **kwargs) diff --git a/plot_fig2.ipynb b/plot_fig2.ipynb index ee1236a..abd5c2b 100644 --- a/plot_fig2.ipynb +++ b/plot_fig2.ipynb @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "code", - "execution_count": null, + "execution_count": 1, "metadata": {}, "outputs": [], "source": [ @@ -11,12 +11,13 @@ "from lcs import *\n", "import os\n", "import json\n", - "import seaborn as sns" + "import seaborn as sns\n", + "import fig_settings as fs" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 2, "metadata": {}, "outputs": [], "source": [ @@ -26,64 +27,109 @@ " data = json.load(file)\n", "p_er = np.array(data[\"p\"], dtype=float)\n", "ps_er = np.array(data[\"ps\"], dtype=float)\n", - "sps_er = np.array(data[\"sps\"], dtype=float)" + "sps_er = np.array(data[\"sps\"], dtype=float)\n", + "\n", + "\n", + "fname = \"Data/watts-strogatz.json\"\n", + "\n", + "with open(fname) as file:\n", + " data = json.load(file)\n", + "p_ws = np.array(data[\"p\"], dtype=float)\n", + "ps_ws = np.array(data[\"ps\"], dtype=float)\n", + "sps_ws = np.array(data[\"sps\"], dtype=float)" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 5, "metadata": {}, "outputs": [], "source": [ - "l = [\"Simple contagion\", \"Threshold contagion, tau=2\", \"Threshold contagion, tau=3\"]\n", + "l = [\n", + " \"Simple contagion\",\n", + " r\"Threshold contagion, $\\tau=2$\",\n", + " r\"Threshold contagion, $\\tau=3$\",\n", + "]" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fs.set_fonts({\"font.family\": \"sans-serif\"})\n", "\n", + "plt.figure(figsize=(4, 8))\n", + "plt.subplot(4, 1, 1)\n", "for i in range(sps_er.shape[0]):\n", " ps_mean = np.mean(sps_er, axis=2)[i]\n", " ps_std = np.std(sps_er, axis=2)[i]\n", - " plt.plot(p_er, ps_mean, \"^-\", label=l[i])\n", - " plt.fill_between(p_er, ps_mean - ps_std, ps_mean + ps_std, alpha=0.4)\n", + " plt.plot(p_er, ps_mean, \"o-\", label=l[i], markersize=4)\n", + " # plt.fill_between(p_er, ps_mean - ps_std, ps_mean + ps_std, alpha=0.4)\n", "plt.legend()\n", - "plt.xlabel(\"p (for Erdos-Renyi)\")\n", + "plt.xlabel(\"p\")\n", "plt.ylabel(\"PS\")\n", + "plt.text(0.1, 0.9, \"(a)\", fontsize=16)\n", "plt.xlim([0, 1])\n", "plt.ylim([0, 1])\n", - "sns.despine()" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "fname = \"Data/watts-strogatz.json\"\n", + "sns.despine()\n", "\n", - "with open(fname) as file:\n", - " data = json.load(file)\n", - "p_ws = np.array(data[\"p\"], dtype=float)\n", - "ps_ws = np.array(data[\"ps\"], dtype=float)\n", - "sps_ws = np.array(data[\"sps\"], dtype=float)" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "l = [\"Simple contagion\", \"Threshold contagion, tau=2\", \"Threshold contagion, tau=3\"]\n", + "plt.subplot(4, 1, 2)\n", "\n", "for i in range(sps_ws.shape[0]):\n", " ps_mean = np.mean(sps_ws, axis=2)[i]\n", " ps_std = np.std(sps_ws, axis=2)[i]\n", - " plt.semilogx(p_ws, ps_mean, label=l[i])\n", - " plt.fill_between(p_ws, ps_mean - ps_std, ps_mean + ps_std, alpha=0.4)\n", + " plt.semilogx(p_ws, ps_mean, \"o-\", label=l[i], markersize=4)\n", + " # plt.fill_between(p_ws, ps_mean - ps_std, ps_mean + ps_std, alpha=0.4)\n", + "# plt.legend()\n", + "plt.text(5e-6, 0.9, \"(b)\", fontsize=16)\n", + "plt.xlabel(\"p\")\n", + "plt.ylabel(\"PS\")\n", + "plt.xlim([1e-6, 1])\n", + "plt.ylim([0, 1])\n", + "sns.despine()\n", + "\n", + "plt.subplot(4, 1, 3)\n", + "for i in range(sps_er.shape[0]):\n", + " ps_mean = np.mean(sps_er, axis=2)[i]\n", + " ps_std = np.std(sps_er, axis=2)[i]\n", + " plt.plot(p_er, ps_mean, \"o-\", label=l[i], markersize=4)\n", + " # plt.fill_between(p_er, ps_mean - ps_std, ps_mean + ps_std, alpha=0.4)\n", "plt.legend()\n", - "plt.xlabel(\"p (for Erdos-Renyi)\")\n", + "plt.xlabel(\"p\")\n", + "plt.ylabel(\"PS\")\n", + "plt.text(0.1, 0.9, \"(a)\", fontsize=16)\n", + "plt.xlim([0, 1])\n", + "plt.ylim([0, 1])\n", + "sns.despine()\n", + "\n", + "plt.subplot(4, 1, 4)\n", + "\n", + "for i in range(sps_ws.shape[0]):\n", + " ps_mean = np.mean(sps_ws, axis=2)[i]\n", + " ps_std = np.std(sps_ws, axis=2)[i]\n", + " plt.semilogx(p_ws, ps_mean, \"o-\", label=l[i], markersize=4)\n", + " # plt.fill_between(p_ws, ps_mean - ps_std, ps_mean + ps_std, alpha=0.4)\n", + "# plt.legend()\n", + "plt.text(5e-6, 0.9, \"(b)\", fontsize=16)\n", + "plt.xlabel(\"p\")\n", "plt.ylabel(\"PS\")\n", "plt.xlim([1e-6, 1])\n", "plt.ylim([0, 1])\n", - "sns.despine()" + "sns.despine()\n", + "plt.tight_layout()" ] }, { diff --git a/plot_illustration.ipynb b/plot_illustration.ipynb index 045918a..db4e2c7 100644 --- a/plot_illustration.ipynb +++ b/plot_illustration.ipynb @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "code", - "execution_count": 53, + "execution_count": 1, "metadata": {}, "outputs": [], "source": [ @@ -14,7 +14,7 @@ }, { "cell_type": "code", - "execution_count": 54, + "execution_count": 2, "metadata": {}, "outputs": [], "source": [ @@ -26,7 +26,7 @@ }, { "cell_type": "code", - "execution_count": 55, + "execution_count": 3, "metadata": {}, "outputs": [], "source": [ @@ -42,16 +42,16 @@ }, { "cell_type": "code", - "execution_count": 56, + "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "" + "" ] }, - "execution_count": 56, + "execution_count": 4, "metadata": {}, "output_type": "execute_result" }, @@ -72,7 +72,7 @@ }, { "cell_type": "code", - "execution_count": 107, + "execution_count": 5, "metadata": {}, "outputs": [ { @@ -104,27 +104,7 @@ }, { "cell_type": "code", - "execution_count": 108, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "NodeView((0, 1, 2, 3, 4, 5, 6, 7, 8, 10, 11, 12, 13, 17, 19, 21, 31, 30, 9, 27, 28, 32, 16, 33, 14, 15, 18, 20, 22, 23, 25, 29, 24, 26))" - ] - }, - "execution_count": 108, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "H.nodes" - ] - }, - { - "cell_type": "code", - "execution_count": 112, + "execution_count": 6, "metadata": {}, "outputs": [], "source": [ @@ -136,20 +116,12 @@ }, { "cell_type": "code", - "execution_count": 114, + "execution_count": 7, "metadata": {}, "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "/Users/nicholaslandry/Documents/GitHub/xgi/xgi/drawing/draw.py:472: UserWarning: No data for colormapping provided via 'c'. Parameters 'cmap' will be ignored\n", - " node_collection = ax.scatter(\n" - ] - }, { "data": { - "image/png": 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", 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", 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" ] @@ -161,7 +133,7 @@ "source": [ "node_fc = [\"white\" if val == 0 else \"maroon\" for val in x[-1, subH.nodes]]\n", "node_fc[0] = \"green\"\n", - "xgi.draw(subH, pos=pos, node_size=10, node_fc=node_fc)\n", + "xgi.draw(subH, pos=pos, node_size=15, node_fc=node_fc)\n", "plt.show()" ] }, diff --git a/scripts/will/entropy_metrics/entropy_metrics.ipynb b/scripts/will/entropy_metrics/entropy_metrics.ipynb index f99c738..f019763 100644 --- a/scripts/will/entropy_metrics/entropy_metrics.ipynb +++ b/scripts/will/entropy_metrics/entropy_metrics.ipynb @@ -958,11 +958,9 @@ "\n", "for i, gamma_i in tqdm(enumerate(gamma_range)):\n", " for j, b_i in enumerate(b_range):\n", - "\n", " t_i = gamma_i / gamma0 * t0\n", "\n", " for k in range(n_iter):\n", - "\n", " c = sc(np.arange(n), b_i)\n", " x = contagion_process(A, gamma_i, c, x0, tmin=0, tmax=t_i)\n", " c_i, nu_i = count_all_infection_events(x, A)\n", From dcb13ba8defbcf84c161601b334a888b46cc4414 Mon Sep 17 00:00:00 2001 From: Nicholas Landry Date: Wed, 29 Nov 2023 15:14:10 -0500 Subject: [PATCH 3/9] add subfigs --- Figures/Fig1/a.svg | 352 +++++++++++++++++++++++++++++ Figures/Fig1/graph.svg | 393 ++++++++++++++++++++++++++++++++ Figures/Fig1/x.svg | 488 ++++++++++++++++++++++++++++++++++++++++ fig_settings.py | 2 +- plot_illustration.ipynb | 110 ++++----- 5 files changed, 1291 insertions(+), 54 deletions(-) create mode 100644 Figures/Fig1/a.svg create mode 100644 Figures/Fig1/graph.svg create mode 100644 Figures/Fig1/x.svg diff --git a/Figures/Fig1/a.svg b/Figures/Fig1/a.svg new file mode 100644 index 0000000..77eda0c --- /dev/null +++ b/Figures/Fig1/a.svg @@ -0,0 +1,352 @@ + + + + + + + + 2023-11-29T15:13:36.717000 + image/svg+xml + + + Matplotlib v3.6.2, https://matplotlib.org/ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + diff --git a/Figures/Fig1/graph.svg b/Figures/Fig1/graph.svg new file mode 100644 index 0000000..f36b072 --- /dev/null +++ b/Figures/Fig1/graph.svg @@ -0,0 +1,393 @@ + + + + + + + + 2023-11-29T15:11:46.321677 + image/svg+xml + + + Matplotlib v3.6.2, https://matplotlib.org/ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + diff --git a/Figures/Fig1/x.svg b/Figures/Fig1/x.svg new file mode 100644 index 0000000..72adf7d --- /dev/null +++ b/Figures/Fig1/x.svg @@ -0,0 +1,488 @@ + + + + + + + + 2023-11-29T15:13:33.761591 + image/svg+xml + + + Matplotlib v3.6.2, https://matplotlib.org/ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + diff --git a/fig_settings.py b/fig_settings.py index 0611e93..484bd58 100644 --- a/fig_settings.py +++ b/fig_settings.py @@ -12,7 +12,7 @@ def set_fonts(extra_params={}): params = { - "font.family": "Times New Roman", + "font.family": "Sans-Serif", "font.sans-serif": ["Tahoma", "DejaVu Sans", "Lucida Grande", "Verdana"], "mathtext.fontset": "cm", "legend.fontsize": 10, diff --git a/plot_illustration.ipynb b/plot_illustration.ipynb index db4e2c7..2542e3e 100644 --- a/plot_illustration.ipynb +++ b/plot_illustration.ipynb @@ -9,7 +9,8 @@ "from lcs import *\n", "import xgi\n", "import numpy as np\n", - "import matplotlib.pyplot as plt" + "import matplotlib.pyplot as plt\n", + "import fig_settings as fs" ] }, { @@ -17,16 +18,28 @@ "execution_count": 2, "metadata": {}, "outputs": [], + "source": [ + "fs.set_fonts()" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], "source": [ "el = zkc(format=\"edgelist\")\n", "H = xgi.Hypergraph(el)\n", "A = zkc()\n", - "n = A.shape[0]" + "n = A.shape[0]\n", + "\n", + "i = 13\n", + "t = 56" ] }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 4, "metadata": {}, "outputs": [], "source": [ @@ -42,22 +55,20 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 5, "metadata": {}, "outputs": [ { - "data": { - "text/plain": [ - "" - ] - }, - "execution_count": 4, - "metadata": {}, - "output_type": "execute_result" + "name": "stderr", + "output_type": "stream", + "text": [ + "/Users/nicholaslandry/Documents/GitHub/xgi/xgi/drawing/draw.py:472: UserWarning: No data for colormapping provided via 'c'. Parameters 'cmap' will be ignored\n", + " node_collection = ax.scatter(\n" + ] }, { "data": { - "image/png": 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DwuFwcohGo36HBAAAssjV5CMSiUiSuru7U8Z3d3cnPztcfX29YrFYcujs7HQzJAAAYBlXb7tUVlYqEomoublZZ511lqT/3EbZtm2bli5dOuh3QqGQQqGQm2E4YlOhkC1FQLbEcTQ2tVm22d4WucKL7ezHfsv+MzhbemW1qadRv6SdfOzfv1+7d+9O/r1nzx61t7erpKREFRUVWrFihf7v//5PJ598siorK3XnnXeqvLxcCxYscDNuAAAQUGknH9u3b9eFF16Y/HvlypWSpNraWq1bt0633HKL+vr6dOONN6qnp0fnnXeeNm3apNGjR7sXNQAACKw8Y9l1nXg8rnA4rFgspqKioqwtx6ZL+JY1gbVsarNsY5/IHdx2weFy9bZLOr/fvj/tAgAAhhdXC06DxKZXJufq/+htKe4CssHm4zaI/7O2vYdlp9zcL4LYjk5x5QMAAHiK5AMAAHiK5AMAAHiK5AMAAHgq5wpObS4COxpbioWcFnxlUhgWxPbJBD0g5i6nx4ab8x9MJvuK7cej7fENtk3dPOZztQdeiSsfAADAYyQfAADAUyQfAADAUyQfAADAUzlXcOpXAV4u9M7nNF4vCuGCaLD1zXYx13Dbxk75dTy6WWzoRdu6vU3YH7Pfw6lfPUe7fS7jygcAAPAUyQcAAPBU2snH1q1bddlll6m8vFx5eXnasGFDyueLFy9WXl5eynDxxRe7FS8AAAi4tJOPvr4+nXnmmVq9evVRp7n44ou1b9++5PD0009nFCQAAMgdaRec1tTUqKam5n9OEwqFFIlEhhxUEPlRQGVTkatNsfhluK2vzWiLI9nUW6hNscAZJ8dUPB5XOBx2NL+s1Hxs2bJFpaWlOuWUU7R06VJ9+umnR502kUgoHo+nDAAAIHe5nnxcfPHFevLJJ9Xc3Kxf/OIXamlpUU1Njfr7+wedvqGhQeFwODlEo1G3QwIAABbJMxlcn8zLy9P69eu1YMGCo07z/vvv68QTT9TLL7+sefPmHfF5IpFQIpFI/h2PxxWNRhWLxVRUVDTU0IYFm2512BQLEDSZ3IbgpY7Di83n1S9uuzj5/c76o7YnnHCCJkyYoN27dw/6eSgUUlFRUcoAAAByV9Z7OP3ggw/06aefatKkSdle1LBjUwZsUyxA0PjV+6oXV0NsuhqbCc5x7ko7+di/f3/KVYw9e/aovb1dJSUlKikp0T333KOFCxcqEonovffe0y233KKTTjpJ8+fPdzVwAAAQTGknH9u3b9eFF16Y/HvlypWSpNraWq1Zs0Y7duzQE088oZ6eHpWXl+uiiy7Svffeq1Ao5F7UAAAgsDIqOM2GdApWAABDx20X5yz7qbRSOr/fgX6rrU3V227umF5UvsM5m/azw9HeucvpE2ScL7wx1O1Mmw2OF8sBAABPkXwAAABPkXwAAABPkXwAAABPBbrgNFcKbw5n+3o5LZbKZD28WIZTtrdH0OTyExZucroONq1rJq9ZcLsI06btcjibY5O8OUa58gEAADxF8gEAADxF8gEAADxF8gEAADwV6ILTTHhRGOVHUZFNPed5UbRk0/rCGS8KkW3qWtvNWLzYZzM5N2YSn1/rlgk3ey+16XzkRZEwVz4AAICnSD4AAICnSD4AAICn0ko+GhoaNGvWLBUWFqq0tFQLFixQR0dHyjQHDhxQXV2dxo8fr3HjxmnhwoXq7u52NWgAABBcaSUfLS0tqqur06uvvqqXXnpJhw4d0kUXXaS+vr7kNDfffLOef/55PfPMM2ppadGHH36oK6+80vXAM2WMOWIYTF5e3hHDYN91Oj8nBlvmYIPT9cp2vNmQyXoEcX3hTBD3gVyINxNOz2eZDJmsWybbfqix5Mr56PB1iMVijr+bZzJY648//lilpaVqaWnR+eefr1gspokTJ6qxsVFXXXWVJOmdd97RqaeeqtbWVp1zzjnHnGc8Hlc4HFYsFlNRUdFQQ3NNJpXfbi5zMH7tsHSPjVxh+7GWC3LlfBG0p5b8kM7vd0Y1H19kOSUlJZKktrY2HTp0SNXV1clppk6dqoqKCrW2tg46j0QioXg8njIAAIDcNeTkY2BgQCtWrNDcuXM1bdo0SVJXV5cKCgpUXFycMm1ZWZm6uroGnU9DQ4PC4XByiEajQw0JAAAEwJCTj7q6Ou3cuVNNTU0ZBVBfX69YLJYcOjs7M5ofAACw25B6OF22bJk2btyorVu3avLkycnxkUhEBw8eVE9PT8rVj+7ubkUikUHnFQqFFAqFjrlMp7UXbvdc6se9OdvvB9oeH+CU03OILbUhNvXcatMyvGifTH5HhjKNn7xos7SufBhjtGzZMq1fv16bN29WZWVlyuczZszQqFGj1NzcnBzX0dGhvXv3qqqqyp2IAQBAoKV15aOurk6NjY167rnnVFhYmKzjCIfDGjNmjMLhsK6//nqtXLlSJSUlKioq0vLly1VVVeXoSRcAAJD70ko+1qxZI0m64IILUsavXbtWixcvliQ98MADys/P18KFC5VIJDR//nw9+uijrgQLAACCL6N+PrLhaM8JD6eaDwD+sflNyUGs+fCCLTU5kv31HE4MdTul08/HkApO/eB0Y3hRUOSHXOmoB7Dp5GzzPp/L/xnK5STKplhsxovlAACAp0g+AACAp0g+AACAp0g+AACApwJTcJrL/CjAoyjKuWy3z3BrC9vX15b4bInDT2yD3MWVDwAA4CmSDwAA4CmSDwAA4CmSDwAA4CkKTi0QtKIqm3qodMppV/x+sCWOdNi+z2byOga32b6t/JDL2+TwfcqvLt1t38Zc+QAAAJ4i+QAAAJ4i+QAAAJ5KK/loaGjQrFmzVFhYqNLSUi1YsEAdHR0p01xwwQXKy8tLGZYsWeJq0AAAILjSKjhtaWlRXV2dZs2apX//+9+6/fbbddFFF+ntt9/Wcccdl5zuhhtu0M9+9rPk32PHjnUvYvjO9kKmwYqvMikszGR93SxodBpHEIvP3OZ0fYfbdkH2+bFPBXE/Tiv52LRpU8rf69atU2lpqdra2nT++ecnx48dO1aRSMSdCAEAQE7JqOYjFotJkkpKSlLGP/XUU5owYYKmTZum+vp6ffbZZ0edRyKRUDweTxkAAEDuGnI/HwMDA1qxYoXmzp2radOmJcd/+9vf1pQpU1ReXq4dO3bo1ltvVUdHh5599tlB59PQ0KB77rlnqGEAAICAyTNDvFm0dOlSvfDCC3rllVc0efLko063efNmzZs3T7t379aJJ554xOeJREKJRCL5dzweVzQaVSwWU1FR0VBCwzDndsdR1HwAwLHF43GFw2FHv99DuvKxbNkybdy4UVu3bv2fiYckzZkzR5KOmnyEQiGFQqGhhGGVbPeoyI+HczZtK4rP3BXE3mAPZ3Nvu+nwYj386h0UzmTSPmklH8YYLV++XOvXr9eWLVtUWVl5zO+0t7dLkiZNmjSkAAEAQG5JK/moq6tTY2OjnnvuORUWFqqrq0uSFA6HNWbMGL333ntqbGzUJZdcovHjx2vHjh26+eabdf7552v69OlZWQEAABAsadV8HO3y1Nq1a7V48WJ1dnbquuuu086dO9XX16doNKorrrhCd9xxh+P6jXTuGdmE2y5A9uXCJXJuu2S2DLcFcdvb4vD2yVrNx7F2hGg0qpaWlnRmCQAAhpkhP2qLVMOpR0UvegsN4qvOncacC/uA2zLZdrnwP9dc2SdsXw+eBLMHL5YDAACeIvkAAACeIvkAAACeIvkAAACeouDUJUErZPKrSC+Ij+Jlwkl8NhWq2l686UVharaLov3axrYfK16cQ23fBm6y6bwyGK58AAAAT5F8AAAAT5F8AAAAT5F8AAAAT1Fw6pKgFTL5FW/QCnOlzGJ28l2b1t+mWNzmtAjVlsJUt9kSRzrcPl8E8fwzVLb3BsyVDwAA4CmSDwAA4CmSDwAA4Km0ko81a9Zo+vTpKioqUlFRkaqqqvTCCy8kPz9w4IDq6uo0fvx4jRs3TgsXLlR3d7frQQMAgODKM2lU2zz//PMaMWKETj75ZBlj9MQTT2jVqlX629/+ptNPP11Lly7VH//4R61bt07hcFjLli1Tfn6+/vznPzsOKB6PKxwOKxaLqaioaEgr5QebCnmGO6eFVjb3GJqrRXBBwLE8dLbvt0FrW5seDEiHk9/vtJKPwZSUlGjVqlW66qqrNHHiRDU2Nuqqq66SJL3zzjs69dRT1draqnPOOcfR/Eg+kCmSD2SCY3nobN9vg9a2uZx8DLnmo7+/X01NTerr61NVVZXa2tp06NAhVVdXJ6eZOnWqKioq1NraetT5JBIJxePxlAEAAOSutJOPN998U+PGjVMoFNKSJUu0fv16nXbaaerq6lJBQYGKi4tTpi8rK1NXV9dR59fQ0KBwOJwcotFo2isBAACCI+3k45RTTlF7e7u2bdumpUuXqra2Vm+//faQA6ivr1csFksOnZ2dQ54XAACwX9o9nBYUFOikk06SJM2YMUOvv/66HnroIV199dU6ePCgenp6Uq5+dHd3KxKJHHV+oVBIoVAo/cgt42Zvh2734Gc7t3vic/pdW15t7nYcmczP9nv2g7H91eFOluvFvhjEtg0iN9vblnOUU1/UbDqRcT8fAwMDSiQSmjFjhkaNGqXm5ubkZx0dHdq7d6+qqqoyXQwAAMgRaV35qK+vV01NjSoqKtTb26vGxkZt2bJFL774osLhsK6//nqtXLlSJSUlKioq0vLly1VVVeX4SRcAAJD70ko+PvroI333u9/Vvn37FA6HNX36dL344ov6xje+IUl64IEHlJ+fr4ULFyqRSGj+/Pl69NFHsxI4AAAIpoz7+XBbUPv5cIqajyPZ/vZFtzmp+fBrH7DsdOCI7W+hpebDHrZsZ9vPb5nWfDj5/U674BTZ33EyOZkGMXGx6bXZfvzwuM32H5lM9m+b2tYpN5ebSaKeqz94R+PXvuLmfzBt6hzR7eXyYjkAAOApkg8AAOApkg8AAOApkg8AAOApCk7/i+0FWYcLWryS84I5vwqt/Ch6s71ANBN+9VSbyTa1pWjbaRw2v505G8uwveh2qE+7uP0AgVN+bTuufAAAAE+RfAAAAE+RfAAAAE9ZV/PxxT2ueDzucyTIhkza1a/vus2mWHJVLuwrtsRhG9u3y1Djs3290uGo7sW27tU/+OADRaNRv8MAAABD0NnZqcmTJ//PaaxLPgYGBvThhx+qsLBQvb29ikaj6uzszMn3vARJPB6nLSxBW9iDtrAL7eEvY4x6e3tVXl6u/Pz/XdVh3W2X/Pz8ZMb0xaM9RUVF7EiWoC3sQVvYg7awC+3hn3A47Gg6Ck4BAICnSD4AAICnrE4+QqGQfvrTnyoUCvkdyrBHW9iDtrAHbWEX2iM4rCs4BQAAuc3qKx8AACD3kHwAAABPkXwAAABPkXwAAABPkXwAAABPkXwAAABPkXwAAABPkXwAAABP/T+tNwBxcd9T4wAAAABJRU5ErkJggg==", + "image/png": 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", "text/plain": [ "
" ] @@ -67,25 +78,38 @@ } ], "source": [ - "plt.spy(x.T)" + "infected_color = \"maroon\"\n", + "susceptible_color = \"white\"\n", + "subgraph_color = \"black\"\n", + "graph_color = (0.1, 0.1, 0.1, 0.1)\n", + "subgraph_node_lc = \"black\"\n", + "graph_node_lc = (0.3, 0.3, 0.3)\n", + "\n", + "sg = H.nodes.memberships(i)\n", + "nbrs = H.nodes.neighbors(i)\n", + "nbrs.add(i)\n", + "\n", + "pos = xgi.pca_transform(xgi.pairwise_spring_layout(H, seed=5, k=0.3))\n", + "node_fc = [infected_color if x[t, i] else susceptible_color for i in H.nodes]\n", + "node_ec = [subgraph_node_lc if n in nbrs else graph_node_lc for n in H.nodes]\n", + "node_fc[12] = \"green\"\n", + "\n", + "dyad_color = [subgraph_color if e in sg else graph_color for e in H.edges]\n", + "\n", + "\n", + "xgi.draw(H, pos=pos, node_size=10, node_fc=node_fc, dyad_color=dyad_color, node_ec=node_ec, node_lw=0.5)\n", + "plt.savefig(\"Figures/Fig1/graph.svg\", dpi=1000)\n", + "plt.show()" ] }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 11, "metadata": {}, "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "/Users/nicholaslandry/Documents/GitHub/xgi/xgi/drawing/draw.py:472: UserWarning: No data for colormapping provided via 'c'. Parameters 'cmap' will be ignored\n", - " node_collection = ax.scatter(\n" - ] - }, { "data": { - "image/png": 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+ "image/png": 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", "text/plain": [ "
" ] @@ -95,33 +119,20 @@ } ], "source": [ - "pos = xgi.pca_transform(xgi.pairwise_spring_layout(H, seed=5, k=0.3))\n", - "node_fc = [\"white\" if x[-1, i] == 0 else \"maroon\" for i in H.nodes]\n", - "node_fc[12] = \"green\"\n", - "xgi.draw(H, pos=pos, node_size=10, node_fc=node_fc)\n", + "plt.spy(x.T)\n", + "plt.yticks([0, 10, 20, 30])\n", + "plt.savefig(\"Figures/Fig1/x.svg\", dpi=1000)\n", "plt.show()" ] }, { "cell_type": "code", - "execution_count": 6, - "metadata": {}, - "outputs": [], - "source": [ - "i = 13\n", - "nbrs = H.nodes.neighbors(i)\n", - "edgelist = [[i, j] for j in nbrs]\n", - "subH = xgi.Hypergraph(edgelist)" - ] - }, - { - "cell_type": "code", - "execution_count": 7, + "execution_count": 12, "metadata": {}, "outputs": [ { "data": { - "image/png": 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" ] @@ -131,18 +142,11 @@ } ], "source": [ - "node_fc = [\"white\" if val == 0 else \"maroon\" for val in x[-1, subH.nodes]]\n", - "node_fc[0] = \"green\"\n", - "xgi.draw(subH, pos=pos, node_size=15, node_fc=node_fc)\n", - "plt.show()" + "plt.spy(A)\n", + "plt.xticks([0, 10, 20, 30])\n", + "plt.yticks([0, 10, 20, 30])\n", + "plt.savefig(\"Figures/Fig1/a.svg\", dpi=1000)" ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [] } ], "metadata": { From 66359267f8814ff0fa89d1f2eb329b0d2680bc6d Mon Sep 17 00:00:00 2001 From: Nicholas Landry Date: Wed, 29 Nov 2023 15:25:38 -0500 Subject: [PATCH 4/9] update --- Figures/Fig1/a.svg | 75 ++++------ Figures/Fig1/graph.svg | 298 ++++++++++++++++++++-------------------- Figures/Fig1/x.svg | 86 ++++-------- plot_illustration.ipynb | 29 ++-- 4 files changed, 221 insertions(+), 267 deletions(-) diff --git a/Figures/Fig1/a.svg b/Figures/Fig1/a.svg index 77eda0c..a8d44f3 100644 --- a/Figures/Fig1/a.svg +++ b/Figures/Fig1/a.svg @@ -6,7 +6,7 @@ - 2023-11-29T15:13:36.717000 + 2023-11-29T15:25:28.888354 image/svg+xml @@ -37,35 +37,25 @@ L 103.104 41.472 z " style="fill: #ffffff"/> - + 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id="imagebdfaf42065" transform="scale(1 -1) translate(0 -121.464)" x="57.6" y="-113.7744" width="357.12" height="121.464"/> - - - - - - - - - - + - + - - - - - - + - + - + - - - - - - + - + - + - - - - - - + - + - + - - - - - - + - + - + - + - - + @@ -348,9 +318,9 @@ L -3.5 0 - + - + @@ -379,9 +349,9 @@ z - + - + @@ -393,9 +363,9 @@ z - + - + @@ -481,7 +451,7 @@ L 414.72 113.8176 - + diff --git a/plot_illustration.ipynb b/plot_illustration.ipynb index 2542e3e..b300e58 100644 --- a/plot_illustration.ipynb +++ b/plot_illustration.ipynb @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "code", - "execution_count": 1, + "execution_count": 14, "metadata": {}, "outputs": [], "source": [ @@ -10,7 +10,8 @@ "import xgi\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", - "import fig_settings as fs" + "import fig_settings as fs\n", + "import matplotlib.cm as cm" ] }, { @@ -55,7 +56,7 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 18, "metadata": {}, "outputs": [ { @@ -104,12 +105,12 @@ }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 19, "metadata": {}, "outputs": [ { "data": { - "image/png": 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", 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", "text/plain": [ "
" ] @@ -119,7 +120,7 @@ } ], "source": [ - "plt.spy(x.T)\n", + "plt.imshow(x.T, cmap=cm.Greys, vmin=0, vmax=1, interpolation=None)\n", "plt.yticks([0, 10, 20, 30])\n", "plt.savefig(\"Figures/Fig1/x.svg\", dpi=1000)\n", "plt.show()" @@ -127,12 +128,12 @@ }, { "cell_type": "code", - "execution_count": 12, + "execution_count": 20, "metadata": {}, "outputs": [ { "data": { - "image/png": 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", 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", 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" ] @@ -142,11 +143,19 @@ } ], "source": [ - "plt.spy(A)\n", + "plt.imshow(A, vmin=0, vmax=1, cmap=cm.Greys)\n", "plt.xticks([0, 10, 20, 30])\n", "plt.yticks([0, 10, 20, 30])\n", - "plt.savefig(\"Figures/Fig1/a.svg\", dpi=1000)" + "plt.savefig(\"Figures/Fig1/a.svg\", dpi=1000)\n", + "plt.show()" ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] } ], "metadata": { From 274b03f8af7db59fa5e17279cecd0bfd5f80537d Mon Sep 17 00:00:00 2001 From: Nicholas Landry Date: Wed, 29 Nov 2023 15:29:15 -0500 Subject: [PATCH 5/9] sharper edges --- Figures/Fig1/a.svg | 28 ++++++++++++++-------------- Figures/Fig1/x.svg | 30 +++++++++++++++--------------- 2 files changed, 29 insertions(+), 29 deletions(-) diff --git a/Figures/Fig1/a.svg b/Figures/Fig1/a.svg index a8d44f3..18fdaff 100644 --- a/Figures/Fig1/a.svg +++ b/Figures/Fig1/a.svg @@ -6,7 +6,7 @@ - 2023-11-29T15:25:28.888354 + 2023-11-29T15:27:49.927453 image/svg+xml @@ -37,20 +37,20 @@ L 103.104 41.472 z " style="fill: #ffffff"/> - + +iVBORw0KGgoAAAANSUhEUgAAACIAAAAiCAYAAAA6RwvCAAABI0lEQVR4nM1Y2xaDIAxLOfz/L3cPG5xYCzi55oXpoNcERVFVFRHUoKqwc1Q1/xaRPIfHFnhe5MUlB979Xthgg3fTLnhSMW+s2Upz0rUAyKusAS9Ar3IjIF+bd6M2iKd9f4vQa2AEXwAglgzb7GdWAzAcWeGwhMDOVwaR1fJTUthVAZv8TTWz5NnCjaxbOZIwSopvEHcHkPzHXa3gIIABO+so3MgKrFXORb6rnNZwDEeOqMhRqjmiIsBBHFmyj/Ajn0eGu4/MBr/B53PNTId2Y6zRQNxX+MnwTgiBL2Y49Ox6uU8lq6rW20FB5kBmdIgdlSpzkW+tLT0t4+RaiYbWUbK3UpYnpcQCa7pk6B8H9rxieZLawf8DtI+0SPXk+8ibFifbH3cvz13fE48wAAAAAElFTkSuQmCC" id="imageff69fbaa8b" transform="matrix(7.852941 0 0 7.852941 103.104 40.584)" style="image-rendering:crisp-edges;image-rendering:pixelated" width="34" height="34"/> - - + @@ -94,7 +94,7 @@ z - + @@ -125,7 +125,7 @@ z - + @@ -172,7 +172,7 @@ z - + @@ -239,12 +239,12 @@ z - - + @@ -257,7 +257,7 @@ L -3.5 0 - + @@ -271,7 +271,7 @@ L -3.5 0 - + @@ -285,7 +285,7 @@ L -3.5 0 - + @@ -320,7 +320,7 @@ L 369.216 41.472 - + diff --git a/Figures/Fig1/x.svg b/Figures/Fig1/x.svg index cf9607b..e5d1206 100644 --- a/Figures/Fig1/x.svg +++ b/Figures/Fig1/x.svg @@ -6,7 +6,7 @@ - 2023-11-29T15:21:02.351105 + 2023-11-29T15:27:49.234923 image/svg+xml @@ -37,20 +37,20 @@ L 57.6 113.8176 z " style="fill: #ffffff"/> - + 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id="image458976a406" transform="matrix(3.58 0 0 3.588235 57.6 113.2384)" style="image-rendering:crisp-edges;image-rendering:pixelated" width="100" height="34"/> - - + @@ -94,7 +94,7 @@ z - + @@ -141,7 +141,7 @@ z - + @@ -176,7 +176,7 @@ z - + @@ -237,7 +237,7 @@ z - + @@ -302,12 +302,12 @@ z - - + @@ -320,7 +320,7 @@ L -3.5 0 - + @@ -351,7 +351,7 @@ z - + @@ -365,7 +365,7 @@ z - + @@ -451,7 +451,7 @@ L 414.72 113.8176 - + From d42580cf5338539454944c72ef9071253edbd900 Mon Sep 17 00:00:00 2001 From: Nicholas Landry Date: Wed, 29 Nov 2023 15:42:16 -0500 Subject: [PATCH 6/9] update --- Figures/Fig1/cf.svg | 761 ++++++++++++++++++++++++++++++++++++++++ plot_illustration.ipynb | 77 +++- 2 files changed, 830 insertions(+), 8 deletions(-) create mode 100644 Figures/Fig1/cf.svg diff --git a/Figures/Fig1/cf.svg b/Figures/Fig1/cf.svg new file mode 100644 index 0000000..0e84212 --- /dev/null +++ b/Figures/Fig1/cf.svg @@ -0,0 +1,761 @@ + + + + + + + + 2023-11-29T15:42:02.831915 + image/svg+xml + + + Matplotlib v3.6.2, https://matplotlib.org/ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + diff --git a/plot_illustration.ipynb b/plot_illustration.ipynb index b300e58..0d6b001 100644 --- a/plot_illustration.ipynb +++ b/plot_illustration.ipynb @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "code", - "execution_count": 14, + "execution_count": 25, "metadata": {}, "outputs": [], "source": [ @@ -11,12 +11,13 @@ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import fig_settings as fs\n", - "import matplotlib.cm as cm" + "import matplotlib.cm as cm\n", + "import seaborn as sns" ] }, { "cell_type": "code", - "execution_count": 2, + "execution_count": 26, "metadata": {}, "outputs": [], "source": [ @@ -25,7 +26,7 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 27, "metadata": {}, "outputs": [], "source": [ @@ -105,7 +106,7 @@ }, { "cell_type": "code", - "execution_count": 19, + "execution_count": 23, "metadata": {}, "outputs": [ { @@ -120,7 +121,7 @@ } ], "source": [ - "plt.imshow(x.T, cmap=cm.Greys, vmin=0, vmax=1, interpolation=None)\n", + "plt.imshow(x.T, cmap=cm.Greys, vmin=0, vmax=1, interpolation=\"none\")\n", "plt.yticks([0, 10, 20, 30])\n", "plt.savefig(\"Figures/Fig1/x.svg\", dpi=1000)\n", "plt.show()" @@ -128,7 +129,7 @@ }, { "cell_type": "code", - "execution_count": 20, + "execution_count": 24, "metadata": {}, "outputs": [ { @@ -143,13 +144,73 @@ } ], "source": [ - "plt.imshow(A, vmin=0, vmax=1, cmap=cm.Greys)\n", + "plt.imshow(A, vmin=0, vmax=1, cmap=cm.Greys, interpolation=\"none\")\n", "plt.xticks([0, 10, 20, 30])\n", "plt.yticks([0, 10, 20, 30])\n", "plt.savefig(\"Figures/Fig1/a.svg\", dpi=1000)\n", "plt.show()" ] }, + { + "cell_type": "code", + "execution_count": 33, + "metadata": {}, + "outputs": [], + "source": [ + "kmax = max(degrees(A))" + ] + }, + { + "cell_type": "code", + "execution_count": 36, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "nu = np.arange(0, kmax, 1)\n", + "sc = lambda nu, b: 1 - (1 - b) ** nu\n", + "cc = lambda nu, tau, b: b * (nu >= tau)\n", + "c1 = sc(nu, b)\n", + "c2 = cc(nu, 2, 0.2)\n", + "\n", + "plt.figure()\n", + "plt.plot(nu, c1)\n", + "plt.plot(nu, c2)\n", + "plt.xlabel(r\"$\\nu$\")\n", + "plt.ylabel(r\"$P$\")\n", + "sns.despine()" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.07" + ] + }, + "execution_count": 31, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "b" + ] + }, { "cell_type": "code", "execution_count": null, From aeaece36b9715b287d9696b356b7f2e6b8739116 Mon Sep 17 00:00:00 2001 From: Nicholas Landry Date: Wed, 29 Nov 2023 15:49:21 -0500 Subject: [PATCH 7/9] Update plot_illustration.ipynb --- plot_illustration.ipynb | 106 ++++++---------------------------------- 1 file changed, 14 insertions(+), 92 deletions(-) diff --git a/plot_illustration.ipynb b/plot_illustration.ipynb index 0d6b001..fd1f1f8 100644 --- a/plot_illustration.ipynb +++ b/plot_illustration.ipynb @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "code", - "execution_count": 25, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -17,7 +17,7 @@ }, { "cell_type": "code", - "execution_count": 26, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -26,7 +26,7 @@ }, { "cell_type": "code", - "execution_count": 27, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -41,7 +41,7 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -57,28 +57,9 @@ }, { "cell_type": "code", - "execution_count": 18, + "execution_count": null, "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "/Users/nicholaslandry/Documents/GitHub/xgi/xgi/drawing/draw.py:472: UserWarning: No data for colormapping provided via 'c'. Parameters 'cmap' will be ignored\n", - " node_collection = ax.scatter(\n" - ] - }, - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "infected_color = \"maroon\"\n", "susceptible_color = \"white\"\n", @@ -106,20 +87,9 @@ }, { "cell_type": "code", - "execution_count": 23, + "execution_count": null, "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "plt.imshow(x.T, cmap=cm.Greys, vmin=0, vmax=1, interpolation=\"none\")\n", "plt.yticks([0, 10, 20, 30])\n", @@ -129,20 +99,9 @@ }, { "cell_type": "code", - "execution_count": 24, + "execution_count": null, "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "plt.imshow(A, vmin=0, vmax=1, cmap=cm.Greys, interpolation=\"none\")\n", "plt.xticks([0, 10, 20, 30])\n", @@ -153,7 +112,7 @@ }, { "cell_type": "code", - "execution_count": 33, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -162,20 +121,9 @@ }, { "cell_type": "code", - "execution_count": 36, + "execution_count": null, "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", 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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "nu = np.arange(0, kmax, 1)\n", "sc = lambda nu, b: 1 - (1 - b) ** nu\n", @@ -188,35 +136,9 @@ "plt.plot(nu, c2)\n", "plt.xlabel(r\"$\\nu$\")\n", "plt.ylabel(r\"$P$\")\n", + "plt.savefig(\"Figures/Fig1/cf.svg\", dpi=1000)\n", "sns.despine()" ] - }, - { - "cell_type": "code", - "execution_count": 31, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "0.07" - ] - }, - "execution_count": 31, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "b" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [] } ], "metadata": { From 5991bc95427e9afbfad649097d35ecc629474bd0 Mon Sep 17 00:00:00 2001 From: Nicholas Landry Date: Wed, 29 Nov 2023 15:51:47 -0500 Subject: [PATCH 8/9] fix tests --- fig_settings.py | 3 ++- plot_illustration.ipynb | 10 +++++++++- tests/unit_test.py | 2 +- 3 files changed, 12 insertions(+), 3 deletions(-) diff --git a/fig_settings.py b/fig_settings.py index 484bd58..c2843be 100644 --- a/fig_settings.py +++ b/fig_settings.py @@ -5,9 +5,10 @@ @author: John Meluso """ +import os + import matplotlib.pylab as pylab import matplotlib.pyplot as plt -import os def set_fonts(extra_params={}): diff --git a/plot_illustration.ipynb b/plot_illustration.ipynb index fd1f1f8..29c2f4d 100644 --- a/plot_illustration.ipynb +++ b/plot_illustration.ipynb @@ -80,7 +80,15 @@ "dyad_color = [subgraph_color if e in sg else graph_color for e in H.edges]\n", "\n", "\n", - "xgi.draw(H, pos=pos, node_size=10, node_fc=node_fc, dyad_color=dyad_color, node_ec=node_ec, node_lw=0.5)\n", + "xgi.draw(\n", + " H,\n", + " pos=pos,\n", + " node_size=10,\n", + " node_fc=node_fc,\n", + " dyad_color=dyad_color,\n", + " node_ec=node_ec,\n", + " node_lw=0.5,\n", + ")\n", "plt.savefig(\"Figures/Fig1/graph.svg\", dpi=1000)\n", "plt.show()" ] diff --git a/tests/unit_test.py b/tests/unit_test.py index d7ae5e3..480fa09 100644 --- a/tests/unit_test.py +++ b/tests/unit_test.py @@ -5,7 +5,7 @@ path = Path.cwd() parent = os.path.abspath(os.path.join(path, os.pardir)) print(parent) -src_dir = os.path.join(parent, "src") +src_dir = os.path.join(parent, "lcs") print(src_dir) sys.path.append(parent) import warnings From d56751011e0b1bc65d6381b1156b398d8c4b8668 Mon Sep 17 00:00:00 2001 From: Nicholas Landry Date: Wed, 29 Nov 2023 16:08:50 -0500 Subject: [PATCH 9/9] updates --- Figures/Fig1/a.svg | 28 ++-- Figures/Fig1/cf.svg | 176 ++++++++++++++---------- Figures/Fig1/graph.svg | 298 ++++++++++++++++++++-------------------- Figures/Fig1/x.svg | 30 ++-- plot_illustration.ipynb | 9 +- 5 files changed, 292 insertions(+), 249 deletions(-) diff --git a/Figures/Fig1/a.svg b/Figures/Fig1/a.svg index 18fdaff..de42be8 100644 --- a/Figures/Fig1/a.svg +++ b/Figures/Fig1/a.svg @@ -6,7 +6,7 @@ - 2023-11-29T15:27:49.927453 + 2023-11-29T16:08:03.940266 image/svg+xml @@ -37,20 +37,20 @@ L 103.104 41.472 z " style="fill: #ffffff"/> - + +iVBORw0KGgoAAAANSUhEUgAAACIAAAAiCAYAAAA6RwvCAAABI0lEQVR4nM1Y2xaDIAxLOfz/L3cPG5xYCzi55oXpoNcERVFVFRHUoKqwc1Q1/xaRPIfHFnhe5MUlB979Xthgg3fTLnhSMW+s2Upz0rUAyKusAS9Ar3IjIF+bd6M2iKd9f4vQa2AEXwAglgzb7GdWAzAcWeGwhMDOVwaR1fJTUthVAZv8TTWz5NnCjaxbOZIwSopvEHcHkPzHXa3gIIABO+so3MgKrFXORb6rnNZwDEeOqMhRqjmiIsBBHFmyj/Ajn0eGu4/MBr/B53PNTId2Y6zRQNxX+MnwTgiBL2Y49Ox6uU8lq6rW20FB5kBmdIgdlSpzkW+tLT0t4+RaiYbWUbK3UpYnpcQCa7pk6B8H9rxieZLawf8DtI+0SPXk+8ibFifbH3cvz13fE48wAAAAAElFTkSuQmCC" id="image8f2d2757d6" transform="matrix(7.852941 0 0 7.852941 103.104 40.584)" style="image-rendering:crisp-edges;image-rendering:pixelated" width="34" height="34"/> - - + @@ -94,7 +94,7 @@ z - + @@ -125,7 +125,7 @@ z - + @@ -172,7 +172,7 @@ z - + @@ -239,12 +239,12 @@ z - - + @@ -257,7 +257,7 @@ L -3.5 0 - + @@ -271,7 +271,7 @@ L -3.5 0 - + @@ -285,7 +285,7 @@ L -3.5 0 - + @@ -320,7 +320,7 @@ L 369.216 41.472 - + diff --git a/Figures/Fig1/cf.svg b/Figures/Fig1/cf.svg index 0e84212..9745aa4 100644 --- a/Figures/Fig1/cf.svg +++ b/Figures/Fig1/cf.svg @@ -6,7 +6,7 @@ - 2023-11-29T15:42:02.831915 + 2023-11-29T16:08:06.008017 image/svg+xml @@ -41,12 +41,12 @@ z - - + @@ -90,7 +90,7 @@ z - + @@ -136,7 +136,7 @@ z - + @@ -170,7 +170,7 @@ z - + @@ -230,7 +230,7 @@ z - + @@ -292,7 +292,7 @@ z - + @@ -323,7 +323,7 @@ z - + @@ -337,7 +337,7 @@ z - + @@ -351,7 +351,7 @@ z - + @@ -403,12 +403,12 @@ z - - + @@ -432,7 +432,7 @@ z - + @@ -447,7 +447,7 @@ z - + @@ -462,7 +462,7 @@ z - + @@ -528,7 +528,7 @@ z - + @@ -543,7 +543,7 @@ z - + @@ -596,7 +596,7 @@ z - + @@ -611,7 +611,7 @@ z - + @@ -636,58 +636,94 @@ z - - + + - + + - + + + + @@ -709,7 +745,7 @@ L 337.614545 80.393079 L 357.905455 70.795212 L 378.196364 61.869195 L 398.487273 53.568 -" clip-path="url(#p15c29f1684)" style="fill: none; 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