From 5989d059f1b8066fa65597e53639f0b7b2622f7e Mon Sep 17 00:00:00 2001 From: GILSON Matthieu <matthieu.gilson@univ-amu.fr> Date: Sat, 22 Jul 2023 10:43:09 +0000 Subject: [PATCH] Upload New File --- DESU_AR_Granger.ipynb | 450 ++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 450 insertions(+) create mode 100644 DESU_AR_Granger.ipynb diff --git a/DESU_AR_Granger.ipynb b/DESU_AR_Granger.ipynb new file mode 100644 index 0000000..745b687 --- /dev/null +++ b/DESU_AR_Granger.ipynb @@ -0,0 +1,450 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "b8895721-0bac-4c61-8ce4-d9a18d81382b", + "metadata": {}, + "source": [ + "This script compares the efficiency of conditional Granger causality analysis and a\n", + "non-parametric testing method for AR in a network with linear feedback in discrete time \n", + "(same as AR, which is canonical to both estimation methods). It examines the true-detection \n", + "rates and false-alarm rates for network with random size, density, etc.\n", + "\n", + "Ref: Gilson, Tauste Campo, Chen, Thiele, Deco (2017) Net Neurosci doi.org/10.1162/NETN_a_00019" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "21f9fa66-04c8-44a8-bf68-ebcdca5f8c1c", + "metadata": {}, + "outputs": [], + "source": [ + "# import packages\n", + "\n", + "import sys, os\n", + "import numpy as np\n", + "import scipy.stats as stt\n", + "\n", + "import matplotlib.pyplot as plt\n", + "%matplotlib inline\n", + "import seaborn as sb\n", + "\n", + "sb.set_style('whitegrid', {'axes.grid' : False})\n", + "sb.set(font_scale=1.5)" + ] + }, + { + "cell_type": "markdown", + "id": "a3b44b80-3f11-4abf-8b6a-83ff643ae0ff", + "metadata": {}, + "source": [ + "We firstly define functions to create and simulate a recurrent network with random connectivity.\n", + "Then we set properties for the network and " + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "38a1c31e-db0b-4262-83c9-688983fc7513", + "metadata": { + "tags": [] + }, + "outputs": [], + "source": [ + "# create a random matrix with probability of connection p_arg, and max weight w_arg\n", + "def gen_random_C(p_arg,min_w_arg,max_w_arg):\n", + " C_tmp = np.zeros([N,N])\n", + " for i in range(N):\n", + " for j in range(N):\n", + " if np.random.rand()<p_arg:\n", + " C_tmp[i,j] = min_w_arg+(max_w_arg-min_w_arg)*np.random.rand()\n", + " return C_tmp\n", + "\n", + "# run simulation of network activity with noise\n", + "def run_sim(T1,T2,C_sim,K_sim):\n", + " t_span = np.arange(T1+T2)\n", + " # initialization\n", + " x_tmp = np.random.rand(N)\n", + " noise = np.random.normal(size=[T1+T2,N],scale=1.)\n", + " # simulation and recording\n", + " x_hist_tmp = np.zeros([T2,N])\n", + " for t in t_span:\n", + " x_tmp = np.dot(C_sim,x_tmp) + np.dot(K_sim,noise[t,:])\n", + " if t>=T1:\n", + " x_hist_tmp[t-T1,:] = x_tmp\n", + " return x_hist_tmp" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "b9cf2eba-6057-4a80-8429-875bd879ea1a", + "metadata": { + "tags": [] + }, + "outputs": [], + "source": [ + "# simulation duration\n", + "T = 3000 # duration of simulation\n", + "T0 = 50 # initialization time for network dynamics\n", + "\n", + "# number of network nodes\n", + "N = 15\n", + "\n", + "# connection density\n", + "p_C = 0.3\n", + "\n", + "# weight bounds\n", + "max_w_C = 0.8/p_C/N\n", + "min_w_C = max_w_C*0.5\n", + "# generate connectivity matrix\n", + "C_orig = gen_random_C(p_C,min_w_C,max_w_C)\n", + "\n", + "# input noise matrix\n", + "noise_level = 1.0\n", + "spread_noise = np.random.rand()\n", + "offdiag_noise_coeff = np.random.rand()/5\n", + "\n", + "K_orig = noise_level*(np.eye(N) + offdiag_noise_coeff*gen_random_C(np.sqrt((0.05+0.45*np.random.rand())/N),0,1))\n", + "for i in range(N):\n", + " K_orig[i,:] *= (1.-spread_noise/2+spread_noise*np.random.rand()) # modulation of diagonal elements of Sigma\n", + "Sigma_orig = np.dot(K_orig,K_orig.T)\n", + "\n", + "# network simulation\n", + "X = run_sim(T0,T,C_orig,K_orig)\n", + "if X.mean(0).max()>50:\n", + " print('explosion with noise')\n", + " sys.exit()\n", + "\n", + "# masks\n", + "mask_diag = np.eye(N,dtype=bool)\n", + "mask_offdiag = np.logical_not(mask_diag)\n", + "mask_C_nonzero = C_orig>0\n", + "mask_C_zero = C_orig==0\n", + "mask_Sigma_zero = Sigma_orig==0\n", + "\n", + "# center observed time series\n", + "t_X = np.array(X)\n", + "t_X -= np.outer(np.ones([t_X.shape[0]]),t_X.mean(0)) " + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "id": "477f267a-8875-468a-9e75-1f5d296f8a47", + "metadata": { + "tags": [] + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "<Figure size 640x480 with 1 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# plot of true connectivity\n", + "plt.plot(range(T), t_X)\n", + "plt.xlabel('time')\n", + "plt.ylabel('node activity')\n", + "plt.axis(xmin=0,xmax=50)\n", + "plt.savefig('figs/ex_ts_AR.png')\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "id": "87773f1d-18a8-4496-bf59-f6193bb2b813", + "metadata": { + "tags": [] + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "<Figure size 640x480 with 2 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# plot of true connectivity\n", + "plt.imshow(C_orig, cmap='hot')\n", + "plt.xlabel('source node')\n", + "plt.ylabel('target node')\n", + "plt.xticks([])\n", + "plt.yticks([])\n", + "plt.colorbar()\n", + "plt.savefig('figs/ex_con_AR.png')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "5d6c0ba2-42e3-4f89-8db5-536074c3b18b", + "metadata": {}, + "source": [ + "We set the sensitivity for the statistical test to 1%, corresponding to a p-value thershold at 0.01." + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "f1133ae4-2df2-41b2-9b23-07a97dcae973", + "metadata": { + "tags": [] + }, + "outputs": [], + "source": [ + "sensitivity = 0.01 # p-value for detection" + ] + }, + { + "cell_type": "markdown", + "id": "ae14b4bc-a316-4d66-b837-81b58f93d9d9", + "metadata": {}, + "source": [ + "We start with the conditional Granger analysis, which relies on a statistical test on the log-ratios.\n", + "The technique relies on the regression of the current state using the past state of the network activity (i.e. the connectivity describes the directional influence of a source node onto a target node). The log-ratios are the squarred sums of residuals from two linear regressions, one with and one without a given source node; this is repeated for all nodes to assess the influence between all pairs of nodes." + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "id": "9e4c16af-f5ec-4ff8-9aff-7b0e5e7001a9", + "metadata": { + "tags": [] + }, + "outputs": [], + "source": [ + "# matrix of log ratio\n", + "C_GRc = np.zeros([N,N])\n", + "\n", + "# squarred sum of residuals from the full regression\n", + "err_full = np.linalg.lstsq(t_X[:-1,:],t_X[1:,:], rcond=None)[1] \n", + "# loop over all source nodes\n", + "for j in range(N):\n", + " v_bool = np.ones([N],dtype=bool)\n", + " v_bool[j] = False\n", + " # squarred sum of residuals from the regression without source node j\n", + " err_noj = np.linalg.lstsq(t_X[:-1,v_bool],t_X[1:,:], rcond=None)[1]\n", + " # calculate log ratio\n", + " C_GRc[:,j] = np.log(err_noj/err_full)" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "id": "a5682d08-9ae1-4adb-8d83-a8a637aa8f09", + "metadata": { + "tags": [] + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "<Figure size 640x480 with 2 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "true positives: 70\n", + "false alarms: 3\n", + "misses: 0\n" + ] + } + ], + "source": [ + "# significance test for Granger causality analysis\n", + "lim_GR = stt.f.isf(sensitivity,1,T-N-1)/(T-N-1) # threshold for parametric test \n", + "detect_GRc = np.exp(C_GRc)-1>=lim_GR \n", + "\n", + "plt.figure()\n", + "plt.imshow(detect_GRc, cmap='hot')\n", + "plt.xlabel('source node')\n", + "plt.ylabel('target node')\n", + "plt.xticks([])\n", + "plt.yticks([])\n", + "plt.colorbar()\n", + "plt.title('detected interactions')\n", + "\n", + "plt.show()\n", + "\n", + "print('true positives:', np.logical_and(detect_GRc,C_orig>0).sum())\n", + "print('false alarms:', np.logical_and(detect_GRc,C_orig==0).sum())\n", + "print('misses:', np.logical_and(np.logical_not(detect_GRc),C_orig>0).sum())" + ] + }, + { + "cell_type": "markdown", + "id": "09d3d02d-8ef2-4d35-8802-95a8714503ff", + "metadata": {}, + "source": [ + "We now turn to the non-parametric method that relies on surrogates, obtained by shuffling the time series and calculating the same AR estimate. Then, these surrogates provide a null distrbution of AR coefficients for each connections. So we can use this to determine a threshold for the " + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "id": "0cf8fa7b-062a-47fc-a9d3-1cfcd432253f", + "metadata": { + "tags": [] + }, + "outputs": [], + "source": [ + "# calculattion of covariance matrices, then estimated AR coefficients\n", + "Q0 = np.tensordot(t_X[:-1,:],t_X[:-1,:],axes=[0,0])/float(t_X.shape[0]-2)\n", + "Q1 = np.tensordot(t_X[:-1,:],t_X[1:,:],axes=[0,0])/float(t_X.shape[0]-2)\n", + "C_AR = np.dot(np.linalg.pinv(Q0),Q1).T \n", + "\n", + "detect_C_AR = np.zeros([2,N,N],dtype=bool) # matrices of detected connections (same as before: local, global)\n", + "\n", + "# generation of surrogates\n", + "n_shuf = 200 # number of generated surrogates\n", + "\n", + "C_AR_shuf = np.zeros([n_shuf,N,N])\n", + "\n", + "for i_shuf in range(n_shuf):\n", + " # copy original time series for manipulation\n", + " t_X_shuf = np.zeros([T,N])\n", + " for i in range(N):\n", + " t_X_shuf[:,i] = t_X[np.argsort(np.random.rand(T)),i] # time permutation\n", + "# t_X_shuf[:,i] = np.roll(t_X[:,i],np.random.randint(T)) # time rolling\n", + "\n", + " Q0_shuf_tmp = np.tensordot(t_X_shuf[:-1,:],t_X_shuf[:-1,:],axes=[0,0])/float(t_X.shape[0]-2)\n", + " Q1_shuf_tmp = np.tensordot(t_X_shuf[:-1,:],t_X_shuf[1:,:],axes=[0,0])/float(t_X.shape[0]-2)\n", + " C_AR_shuf[i_shuf,:,:] = np.dot(np.linalg.pinv(Q0_shuf_tmp),Q1_shuf_tmp).T" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "id": "9fee5829-9225-4f5c-9138-c6625d38b571", + "metadata": { + "tags": [] + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "<Figure size 640x480 with 2 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "true positives: 70\n", + "false alarms: 2\n", + "misses: 0\n" + ] + } + ], + "source": [ + "# non-parametric test for Granger causality analysis\n", + "sorted_AR_ij = np.sort(C_AR_shuf,axis=0) # sort surrogate values for each matrix element\n", + "i_sensitivity = int(sensitivity*n_shuf) # equivalent threshold for n_shuf surrogates\n", + "lim_AR = sorted_AR_ij[-i_sensitivity,:,:] # matric of threshold for each connection\n", + "detect_AR = C_AR>=lim_AR\n", + "\n", + "plt.figure()\n", + "plt.imshow(detect_AR, cmap='hot')\n", + "plt.xlabel('source node')\n", + "plt.ylabel('target node')\n", + "plt.xticks([])\n", + "plt.yticks([])\n", + "plt.colorbar()\n", + "plt.title('detected interactions')\n", + "\n", + "plt.show()\n", + "\n", + "print('true positives:', np.logical_and(detect_AR,C_orig>0).sum())\n", + "print('false alarms:', np.logical_and(detect_AR,C_orig==0).sum())\n", + "print('misses:', np.logical_and(np.logical_not(detect_AR),C_orig>0).sum())" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "id": "5fd2c9df-fbc3-4d99-989d-8d7ffcc2e011", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "<matplotlib.legend.Legend at 0x7f51e9e4f5d0>" + ] + }, + "execution_count": 18, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "<Figure size 640x480 with 1 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# test individual connection\n", + "i = 0\n", + "j = 2\n", + "\n", + "# limit for desired sensitivity\n", + "lim = sorted_AR_ij[-i_sensitivity,i,j]\n", + "\n", + "plt.figure()\n", + "plt.hist(C_AR_shuf[:,i,j], bins=20, histtype='step', color='gray', label='surr')\n", + "plt.plot([lim]*2, [0,50], '--k', label='lim surr')\n", + "plt.plot([C_AR[i,j]]*2, [0,50], '-r', label='est')\n", + "plt.legend(fontsize=12)" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "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": "3.11.4" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} -- GitLab