{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# [Virtual Epileptic Patient](https://github.com/Ziaeemehr/vbi_paper/blob/main/docs/examples/vep_sde_numba_cde.ipynb)\n", "\n", "\"Open" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "# Install VBI package in Google Colab (lightweight, CPU-only version)\n", "print(\"Setting up VBI for Google Colab...\")\n", "\n", "# Skip C++ compilation for faster installation in Colab\n", "%env SKIP_CPP=1\n", "\n", "# Install the package\n", "# !pip install vbi\n", "\n", "print(\"VBI package installed successfully! Ready to proceed.\")" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "import os\n", "import tqdm\n", "import pickle\n", "import numpy as np\n", "import networkx as nx\n", "from vbi import report_cfg\n", "import autograd.numpy as anp\n", "import matplotlib.pyplot as plt\n", "from vbi.utils import LoadSample\n", "from vbi.plot import pairplot_numpy\n", "from vbi.models.numba.vep import VEP_sde\n", "from vbi.cde import MAFEstimator, MDNEstimator\n", "from sklearn.preprocessing import StandardScaler\n", "from vbi.utils import posterior_shrinkage_numpy, posterior_zscore_numpy, posterior_peaks_numpy" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "seed = 2\n", "np.random.seed(seed)" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "path = \"output/tt_\"\n", "os.makedirs(path, exist_ok=True)" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "# Download the weights file\n", "# !mkdir -p data\n", "# !wget https://raw.githubusercontent.com/ins-amu/vbi/main/docs/examples/data/weights1.txt -O data/weights1.txt" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "weights = np.loadtxt(\"data/weights1.txt\")\n", "nn = weights.shape[0]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "healthy zone, propagation zone, epileptic zone eta values" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "hz_val = -3.65\n", "pz_val = -2.4\n", "ez_val = -1.6" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "ez_idx = np.array([6, 34], dtype=np.int32)\n", "pz_wplng_idx = np.array([5, 11], dtype=np.int32)\n", "pz_kplng_idx = np.array([27], dtype=np.int32)\n", "pz_idx = np.append(pz_kplng_idx, pz_wplng_idx)" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "eta_true = np.ones(nn) * hz_val\n", "eta_true[pz_idx] = pz_val\n", "eta_true[ez_idx] = ez_val" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "initial_state = np.zeros(2 * nn)\n", "initial_state[:nn] = -2.5\n", "initial_state[nn:] = 3.5" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "params = {\n", " \"G\": 1.0,\n", " \"initial_state\": initial_state,\n", " \"weights\": weights,\n", " \"tau\": 10.0,\n", " \"eta\": -3.5,\n", " \"sigma\": 0.0,\n", " \"iext\": 3.1,\n", " \"dt\": 0.1,\n", " \"t_end\": 14.0,\n", " \"t_cut\": 1.0,\n", " \"record_step\": 1,\n", " \"method\": \"heun\",\n", " \"output\": path,\n", "}" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "obj = VEP_sde(params)\n", "g_true = 1.0\n", "eta_true = [-1.6] * 2\n", "eta_true_ = np.ones(nn) * hz_val\n", "eta_true_[pz_idx] = pz_val\n", "eta_true_[ez_idx] = ez_val\n", "control_true = {\"eta\": eta_true_, \"G\": g_true}" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "data = obj.run(par=control_true)" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[-3.65 -3.65 -3.65 -3.65 -3.65]\n", "[3.1 3.1 3.1 3.1 3.1]\n" ] } ], "source": [ "print(obj.P.eta[:5])\n", "print(obj.P.iext[:5])" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "ts = data[\"x\"]\n", "t = data[\"t\"]" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "\n", "plt.figure(figsize=(8, 10))\n", "for i in range(0, nn):\n", " if i in ez_idx:\n", " plt.plot(t, ts[i, :] + i, \"r\", lw=3)\n", " elif i in pz_idx:\n", " plt.plot(t, ts[i, :] + i, \"orange\", lw=3)\n", " else:\n", " plt.plot(t, ts[i, :] + i, \"g\")\n", "plt.yticks(np.r_[0:nn] - 2, np.r_[0:nn], fontsize=10)\n", "plt.xticks(fontsize=16)\n", "plt.title(\"Source brain activity\", fontsize=18)\n", "plt.xlabel(\"Time\", fontsize=22)\n", "plt.ylabel(\"Brain Regions#\", fontsize=22)\n", "plt.tight_layout()\n", "# plt.savefig(\"output/vep_sde.png\", dpi=300)" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [], "source": [ "from vbi.feature_extraction.features_settings import *\n", "from vbi.feature_extraction.calc_features import *" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Selected features:\n", "------------------\n", "■ Domain: statistical\n", " ▢ Function: auc\n", " ▫ description: Computes the area under the curve of the signal computed with trapezoid rule.\n", " ▫ function : vbi.feature_extraction.features.auc\n", " ▫ parameters : {'dx': None, 'x': None, 'indices': None, 'verbose': False}\n", " ▫ tag : all\n", " ▫ use : yes\n", " ▢ Function: seizure_onset\n", " ▫ description: Detects the onset of seizures.\n", " ▫ function : vbi.feature_extraction.features.seizure_onset\n", " ▫ parameters : {'threshold': 0.02, 'verbose': False, 'indices': array([ 6, 34], dtype=int32)}\n", " ▫ tag : ['eeg', 'seeg']\n", " ▫ use : yes\n" ] } ], "source": [ "fs = 1 / (params[\"dt\"]) / 1000\n", "cfg = get_features_by_domain(domain=\"statistical\")\n", "# cfg = get_features_by_given_names(cfg, names=[\"calc_moments\"])\n", "cfg = get_features_by_given_names(cfg, names=[\"auc\", \"seizure_onset\"])\n", "cfg = update_cfg(cfg, \"seizure_onset\", {\"indices\": ez_idx})\n", "report_cfg(cfg)" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "100%|██████████| 1/1 [00:00<00:00, 1129.63it/s]" ] }, { "name": "stdout", "output_type": "stream", "text": [ "(1, 86)\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "\n" ] } ], "source": [ "data = extract_features_df([ts], fs, cfg=cfg, n_workers=1)\n", "print(data.values.shape)" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [], "source": [ "def wrapper(params, control, x0, cfg, verbose=False):\n", " vep_obj = VEP_sde(params)\n", " sol = vep_obj.run(control, x0=x0)\n", "\n", " # extract features\n", " fs = 1.0 / params[\"dt\"] * 1000 # [Hz]\n", " stat_vec = extract_features(\n", " ts=[sol[\"x\"]], cfg=cfg, fs=fs, n_workers=1, verbose=verbose\n", " ).values[0]\n", " return stat_vec" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [], "source": [ "def batch_run(params, control_list, x0, cfg, n_workers=1):\n", " n = len(control_list)\n", " def update_bar(_):\n", " pbar.update()\n", " with Pool(processes=n_workers) as pool:\n", " with tqdm.tqdm(total=n) as pbar:\n", " async_results = [\n", " pool.apply_async(\n", " wrapper,\n", " args=(params, control_list[i], x0, cfg, False),\n", " callback=update_bar,\n", " )\n", " for i in range(n)\n", " ]\n", " stat_vec = [res.get() for res in async_results]\n", " return stat_vec" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [], "source": [ "num_sim = 1000\n", "num_workers = 10\n", "eta_min, eta_max = -5.0, -1.0\n", "gmin, gmax = 0.0, 2.0" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [], "source": [ "from vbi.utils import BoxUniform\n", "prior_min = [gmin] + [eta_min] * 2\n", "prior_max = [gmax] + [eta_max] * 2\n", "prior = BoxUniform(low=prior_min, high=prior_max)\n", "theta = prior.sample((num_sim))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "select `G` and `eta` at `ez_idx` nodes as target parameters." ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [], "source": [ "control_list = []\n", "for i in range(num_sim):\n", " eta_ = np.ones(nn) * hz_val\n", " eta_[pz_idx] = pz_val\n", " eta_[ez_idx] = theta[i, 1:]\n", " g_ = theta[i, 0]\n", " control_list.append({\"eta\": eta_, \"G\": g_})" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ " 0%| | 0/1000 [00:00" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(5, 3))\n", "plt.plot(maf_estimator.loss_history, color='royalblue', linewidth=2, marker='o', markersize=3, alpha=0.5)\n", "plt.title(\"MAF Training Loss\")\n", "plt.xlabel(\"Epoch\")\n", "plt.ylabel(\"Loss\")\n", "plt.grid(True, linestyle='--', alpha=0.5)\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "limits = [[i, j] for i, j in zip(prior_min, prior_max)]\n", "points = [[g_true] + eta_true]\n", "fig, ax = pairplot_numpy(\n", " samples,\n", " limits=limits,\n", " figsize=(5, 5),\n", " points=np.array(points).reshape(1, -1),\n", " labels=[\"G\", \"eta1\", \"eta2\"],\n", " diag=\"kde\",\n", " fig_kwargs=dict(\n", " points_offdiag=dict(marker=\"*\", markersize=10),\n", " points_colors=[\"g\"]),\n", " diag_kwargs={\"mpl_kwargs\": {\"color\": \"r\"}},\n", ")\n", "ax[0, 0].tick_params(labelsize=14)\n", "ax[0, 0].margins(y=0)\n", "plt.tight_layout();" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "language_info": { "name": "python" } }, "nbformat": 4, "nbformat_minor": 2 }