diff --git a/Figures/contagion_inference.pdf b/Figures/contagion_inference.pdf new file mode 100644 index 0000000..7d0b2ac Binary files /dev/null and b/Figures/contagion_inference.pdf differ diff --git a/Figures/contagion_inference.png b/Figures/contagion_inference.png new file mode 100644 index 0000000..501ba62 Binary files /dev/null and b/Figures/contagion_inference.png differ diff --git a/lcs/utilities.py b/lcs/utilities.py index 8489e5b..e321a48 100644 --- a/lcs/utilities.py +++ b/lcs/utilities.py @@ -1,6 +1,7 @@ import random import numpy as np +from scipy.stats import gaussian_kde from .contagion import * from .inference import * @@ -67,3 +68,59 @@ def degrees(A): if not isinstance(A, np.ndarray): A = A.todense() return A.sum(axis=0) + + +def hpd_grid(sample, alpha=0.05, roundto=2): + """Calculate highest posterior density (HPD) of array for given alpha. + The HPD is the minimum width Bayesian credible interval (BCI). + The function works for multimodal distributions, returning more than one mode + + Parameters + ---------- + + sample : Numpy array or python list + An array containing MCMC samples + alpha : float + Desired probability of type I error (defaults to 0.05) + roundto: integer + Number of digits after the decimal point for the results + + Returns + ------- + hpd: array with the lower + + References + ---------- + Bayesian Analysis with Python (Second edition) + https://github.com/aloctavodia/BAP/blob/master/first_edition/code/Chp1/hpd.py + """ + sample = np.asarray(sample) + sample = sample[~np.isnan(sample)] + # get upper and lower bounds + l = np.min(sample) + u = np.max(sample) + density = gaussian_kde(sample) + x = np.linspace(l, u, 2000) + y = density.evaluate(x) + #y = density.evaluate(x, l, u) waitting for PR to be accepted + xy_zipped = zip(x, y/np.sum(y)) + xy = sorted(xy_zipped, key=lambda x: x[1], reverse=True) + xy_cum_sum = 0 + hdv = [] + for val in xy: + xy_cum_sum += val[1] + hdv.append(val[0]) + if xy_cum_sum >= (1-alpha): + break + hdv.sort() + diff = (u-l)/20 # differences of 5% + hpd = [] + hpd.append(round(min(hdv), roundto)) + for i in range(1, len(hdv)): + if hdv[i]-hdv[i-1] >= diff: + hpd.append(round(hdv[i-1], roundto)) + hpd.append(round(hdv[i], roundto)) + hpd.append(round(max(hdv), roundto)) + ite = iter(hpd) + hpd = list(zip(ite, ite)) + return hpd, x, y \ No newline at end of file diff --git a/plot_infer_contagion_functions.ipynb b/plot_infer_contagion_functions.ipynb index 6d02418..42c0d92 100644 --- a/plot_infer_contagion_functions.ipynb +++ b/plot_infer_contagion_functions.ipynb @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "code", - "execution_count": 1, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -12,7 +12,7 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -25,7 +25,7 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -49,20 +49,9 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": null, "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "plt.figure()\n", "plt.subplot(211)\n", @@ -70,38 +59,30 @@ "\n", "plt.subplot(212)\n", "plt.spy(x2.T, aspect=\"auto\")\n", + "plt.xlabel(\"time\")\n", + "plt.ylabel(\"node label\")\n", + "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "code", - "execution_count": 6, + "execution_count": null, "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "fig, ax1 = plt.subplots()\n", "\n", "color = \"tab:red\"\n", "ax1.set_xlabel(\"Iterations\")\n", - "ax1.set_ylabel(\"Log likelihood\", color=color)\n", + "ax1.set_ylabel(\"Log posterior probability\", color=color)\n", "ax1.plot(l1, color=color, label=\"Simple contagion\")\n", "ax1.tick_params(axis=\"y\", labelcolor=color)\n", "\n", "ax2 = ax1.twinx() # instantiate a second axes that shares the same x-axis\n", "\n", "color = \"tab:blue\"\n", - "ax2.set_ylabel(\"Log likelihood\", color=color) # we already handled the x-label with ax1\n", + "ax2.set_ylabel(\"Log posterior probability\", color=color) # we already handled the x-label with ax1\n", "ax2.plot(l2, color=color, label=\"Threshold contagion\")\n", "ax2.tick_params(axis=\"y\", labelcolor=color)\n", "\n", @@ -112,30 +93,9 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": null, "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "" - ] - }, - "execution_count": 7, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "import cmasher as cmr\n", "\n", @@ -152,25 +112,16 @@ "\n", "plt.subplot(133)\n", "plt.title(\"ZKC\")\n", - "plt.imshow(A, cmap=cmap, vmin=0, vmax=1)" + "plt.imshow(A, cmap=cmap, vmin=0, vmax=1)\n", + "plt.tight_layout()\n", + "plt.savefig(\"test.png\", dpi=1000)" ] }, { "cell_type": "code", - "execution_count": 14, + "execution_count": null, "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "# import cmasher as cmr\n", "# cmap = cmr.ember\n", @@ -185,7 +136,7 @@ "plt.subplot(211)\n", "\n", "# simple contagion\n", - "plt.scatter(nus, c1, color=colors[0])\n", + "plt.scatter(nus, c1, color=colors[0], label=\"Simple contagion\")\n", "\n", "v = plt.violinplot(c1_samples, positions=nus, showextrema=False)\n", "for vp in v[\"bodies\"]:\n", @@ -195,7 +146,7 @@ "plt.plot(c1_samples.mean(axis=0), linewidth=0.5, color=colors[0])\n", "\n", "# threshold contagion, tau=2\n", - "plt.scatter(nus, c2, color=colors[1])\n", + "plt.scatter(nus, c2, color=colors[1], label=\"Threshold contagion\")\n", "\n", "v = plt.violinplot(c2_samples, positions=nus, showextrema=False)\n", "for vp in v[\"bodies\"]:\n", @@ -212,6 +163,8 @@ "plt.xlim([0, kmax + 2.5])\n", "plt.ylim([0, 1])\n", "\n", + "plt.legend()\n", + "\n", "plt.subplot(212)\n", "\n", "# simple contagion\n", @@ -238,12 +191,89 @@ "\n", "plt.xlim([0, kmax + 2.5])\n", "plt.ylim([0, 1])\n", - "plt.xlabel(r\"$k_{max}$\")\n", + "plt.xlabel(r\"$\\nu$\")\n", "plt.ylabel(r\"$Pr$\")\n", "\n", "sns.despine()\n", "plt.tight_layout()\n", - "plt.show()" + "\n", + "plt.savefig(\"Figures/contagion_inference.png\", dpi=1000)\n", + "plt.savefig(\"Figures/contagion_inference.pdf\", dpi=1000)\n", + "plt.show()\n", + "\n", + "# kde and then find the hdpi" + ] + }, + { + "cell_type": "code", + "execution_count": 61, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# import cmasher as cmr\n", + "# cmap = cmr.ember\n", + "colors = [\"steelblue\", \"darksalmon\", \"mediumseagreen\"]\n", + "\n", + "kmax = np.max(degrees(A))\n", + "n = A.shape[0]\n", + "\n", + "nus = np.arange(0, n, 1)\n", + "\n", + "plt.figure()\n", + "\n", + "# simple contagion\n", + "c1_mean = c1_samples.mean(axis=0)\n", + "plt.plot(nus, c1, '-', color=colors[0], label=\"Simple contagion\")\n", + "# plt.scatter(nus, c1_mean, linewidth=0.5, color=colors[0])\n", + "\n", + "err_c1 = np.zeros((2, n))\n", + "for i in range(n):\n", + " interval, _, _ = hpd_grid(c1_samples[:, i], alpha=0.05, roundto=4)\n", + " x, y = interval[0]\n", + " err_c1[0, i] = max(c1_mean[i] - x, 0)\n", + " err_c1[1, i] = max(y - c1_mean[i], 0)\n", + "plt.errorbar(nus, c1_mean, err_c1, color=colors[0], fmt=\"o\")\n", + "\n", + "# threshold contagion, tau=2\n", + "c2_mean = c2_samples.mean(axis=0)\n", + "plt.plot(nus, c2, '-', color=colors[1], label=\"Threshold contagion\")\n", + "# plt.scatter(nus, c2_mean, linewidth=0.5, color=colors[1])\n", + "\n", + "err_c2 = np.zeros((2, n))\n", + "for i in range(n):\n", + " interval, _, _ = hpd_grid(c2_samples[:, i], alpha=0.05, roundto=4)\n", + " x, y = interval[0]\n", + " err_c2[0, i] = max(c2_mean[i] - x, 0)\n", + " err_c2[1, i] = max(y - c2_mean[i], 0)\n", + "plt.errorbar(nus, c2_mean, err_c2, color=colors[1], fmt=\"o\")\n", + "\n", + "plt.xticks(np.arange(0, n, 5))\n", + "plt.xlabel(r\"$\\nu$\")\n", + "plt.ylabel(r\"$c(\\nu)$\")\n", + "\n", + "\n", + "plt.xlim([0, kmax + 2.5])\n", + "plt.ylim([0, 1])\n", + "\n", + "plt.legend(loc=\"upper left\")\n", + "\n", + "sns.despine()\n", + "plt.tight_layout()\n", + "\n", + "# plt.savefig(\"Figures/contagion_inference.png\", dpi=1000)\n", + "# plt.savefig(\"Figures/contagion_inference.pdf\", dpi=1000)\n", + "plt.show()\n" ] }, {