{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# [Jansen-Rit whole brain (NUMBA)](https://github.com/Ziaeemehr/vbi_paper/blob/main/docs/examples/jansen_rit_sde_numba_cde.ipynb)\n",
" \n",
"
\n"
]
},
{
"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",
"print(\"Environment configured.\")"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"# Install the package\n",
"# !pip install vbi"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"print(\"VBI package installed successfully! Ready to proceed.\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"1) Imports & Global Configuration"
]
},
{
"cell_type": "code",
"execution_count": 76,
"metadata": {},
"outputs": [],
"source": [
"import os\n",
"from copy import deepcopy\n",
"from multiprocessing import Pool"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"import autograd.numpy as anp\n",
"import matplotlib.pyplot as plt\n",
"from tqdm import tqdm\n",
"from scipy import signal\n",
"from sklearn.preprocessing import StandardScaler"
]
},
{
"cell_type": "code",
"execution_count": 78,
"metadata": {},
"outputs": [],
"source": [
"import vbi\n",
"from vbi.models.numba.jansen_rit import JR_sde\n",
"from vbi import report_cfg, update_cfg\n",
"from vbi import extract_features_df\n",
"from vbi import get_features_by_domain, get_features_by_given_names\n",
"from vbi.utils import BoxUniform, posterior_shrinkage_numpy, posterior_zscore_numpy\n",
"from vbi.cde import MAFEstimator # your (sbi-like) CDE estimator"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"\n",
"def plot_ts_pxx_jr(data, par, ax, **kwargs):\n",
" tspan = data['t']\n",
" y = data['x']\n",
" ax[0].plot(tspan, y.T, label='y1 - y2', **kwargs)\n",
" freq, pxx = signal.welch(y, 1000/par['dt'], nperseg=y.shape[1]//2)\n",
" ax[1].plot(freq, pxx.T, **kwargs)\n",
" ax[1].set_xlim(0, 50)\n",
" ax[1].set_xlabel(\"frequency [Hz]\")\n",
" ax[0].set_xlabel(\"time [ms]\")\n",
" ax[0].set_ylabel(\"y1-y2\")\n",
" ax[0].margins(x=0)\n",
"\n",
" plt.tight_layout()\n",
"\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Reproducibility & output"
]
},
{
"cell_type": "code",
"execution_count": 81,
"metadata": {},
"outputs": [],
"source": [
"RNG_SEED: int = 2\n",
"np.random.seed(RNG_SEED)"
]
},
{
"cell_type": "code",
"execution_count": 82,
"metadata": {},
"outputs": [],
"source": [
"OUT_DIR = \"output/jansen_rit_sde_numba_cde_/\"\n",
"os.makedirs(OUT_DIR, exist_ok=True)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Matplotlib aesthetics"
]
},
{
"cell_type": "code",
"execution_count": 83,
"metadata": {},
"outputs": [],
"source": [
"LABEL_SIZE = 12\n",
"plt.rcParams[\"axes.labelsize\"] = LABEL_SIZE\n",
"plt.rcParams[\"xtick.labelsize\"] = LABEL_SIZE\n",
"plt.rcParams[\"ytick.labelsize\"] = LABEL_SIZE"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Data/control flags"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"LOAD_DATA: bool = True # <— Set True to load cached dataset if available\n",
"SAVE_DATA: bool = True # Save dataset after (re)simulation\n",
"CACHE_FILE = os.path.join(OUT_DIR, \"jr_cde_dataset.npz\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"2) Structural Connectivity & Preview\n",
"\n",
"Load sample connectome (nn: number of nodes) and preview"
]
},
{
"cell_type": "code",
"execution_count": 87,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"number of nodes: 84\n"
]
}
],
"source": [
"sample = vbi.LoadSample(nn=84)\n",
"CONNECTIVITY = sample.get_weights()\n",
"N_NODES = CONNECTIVITY.shape[0]\n",
"print(f\"number of nodes: {N_NODES}\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Quick visual check of the adjacency (can be toggled off if desired)"
]
},
{
"cell_type": "code",
"execution_count": 88,
"metadata": {},
"outputs": [
{
"data": {
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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"if True:\n",
" fig, ax = plt.subplots(1, 1, figsize=(4, 4.5))\n",
" im = ax.imshow(CONNECTIVITY, cmap=\"gray\", vmin=0, vmax=1)\n",
" ax.set_title(\"Connectivity (weights)\")\n",
" plt.tight_layout()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"3) Simulator parameters & one reference run"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"JR SDE base parameters (units: ms where applicable)"
]
},
{
"cell_type": "code",
"execution_count": 89,
"metadata": {},
"outputs": [],
"source": [
"SIM_CFG = {\n",
" \"G\": 1.0, # global coupling (will be overridden per-control)\n",
" \"mu\": 0.24, # external input\n",
" \"noise_amp\": 0.1,\n",
" \"dt\": 0.05, # ms\n",
" \"C0\": 135.0 * 1.0,\n",
" \"C1\": 135.0 * 0.8,\n",
" \"C2\": 135.0 * 0.25,\n",
" \"C3\": 135.0 * 0.25,\n",
" \"weights\": CONNECTIVITY,\n",
" \"t_cut\": 500.0, # ms — discard transient\n",
" \"t_end\": 2501.0, # ms — total duration\n",
" \"seed\": RNG_SEED,\n",
" \"decimate\": 1,\n",
"}"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Reference ground truth parameters for evaluation/plots"
]
},
{
"cell_type": "code",
"execution_count": 90,
"metadata": {},
"outputs": [],
"source": [
"TRUE_THETA = np.array([1.5, 135.0], dtype=np.float32) # [G, C1]\n",
"TRUE_CONTROL = {\"G\": float(TRUE_THETA[0]), \"C1\": float(TRUE_THETA[1])}"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"One quick simulation preview"
]
},
{
"cell_type": "code",
"execution_count": 91,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"(40020,) (40020, 84)\n"
]
}
],
"source": [
"jr_ref = JR_sde(SIM_CFG)\n",
"ref_sol = jr_ref.run(TRUE_CONTROL)\n",
"print(ref_sol[\"t\"].shape, ref_sol[\"x\"].shape)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Time series + spectrum preview"
]
},
{
"cell_type": "code",
"execution_count": 92,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots(1, 2, figsize=(10, 2.5))\n",
"plot_ts_pxx_jr({\"t\": ref_sol[\"t\"], \"x\": ref_sol[\"x\"].T}, SIM_CFG, [ax[0], ax[1]], alpha=0.6, lw=1)\n",
"ax[0].set_xlim(2000, 2500)\n",
"plt.tight_layout()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"4) Feature configuration (spectral domain)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Configure spectral features and fix sampling frequency"
]
},
{
"cell_type": "code",
"execution_count": 93,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Selected features:\n",
"------------------\n",
"■ Domain: spectral\n",
" ▢ Function: spectrum_stats\n",
" ▫ description: Computes the spectrum of the signal.\n",
" ▫ function : vbi.feature_extraction.features.spectrum_stats\n",
" ▫ parameters : {'fs': 20000.0, 'nperseg': None, 'indices': None, 'verbose': False, 'average': True, 'method': 'welch', 'features': ['spectral_distance', 'fundamental_frequency', 'max_frequency', 'max_psd', 'median_frequency', 'spectral_centroid', 'spectral_kurtosis', 'spectral_variation']}\n",
" ▫ tag : all\n",
" ▫ use : yes\n",
" ▢ Function: spectrum_moments\n",
" ▫ description: Computes the spectrum of the signal.\n",
" ▫ function : vbi.feature_extraction.features.spectrum_moments\n",
" ▫ parameters : {'fs': 20000.0, 'nperseg': None, 'method': 'welch', 'moments': [2, 3, 4, 5, 6], 'normalize': False, 'verbose': False, 'indices': None, 'average': True}\n",
" ▫ tag : all\n",
" ▫ use : yes\n",
" ▢ Function: spectrum_auc\n",
" ▫ description: Computes the area under the curve of the signal computed with trapezoid rule.\n",
" ▫ function : vbi.feature_extraction.features.spectrum_auc\n",
" ▫ parameters : {'fs': 20000.0, 'nperseg': None, 'method': 'welch', 'average': True, 'verbose': False, 'bands': [[0, 4], [4, 8], [8, 12], [12, 30], [30, 70]], 'indices': None}\n",
" ▫ tag : all\n",
" ▫ use : yes\n"
]
}
],
"source": [
"feat_cfg = get_features_by_domain(domain=\"spectral\")\n",
"feat_cfg = get_features_by_given_names(\n",
" feat_cfg, names=[\"spectrum_stats\", \"spectrum_auc\", \"spectrum_moments\"]\n",
")\n",
"fs_hz = 1000.0 / SIM_CFG[\"dt\"] # Hz\n",
"for key in (\"spectrum_stats\", \"spectrum_auc\", \"spectrum_moments\"):\n",
" update_cfg(feat_cfg, key, {\"fs\": fs_hz, \"method\": \"welch\", \"average\": True})\n",
"report_cfg(feat_cfg)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"5) Simulation → feature pipeline (single & batch)"
]
},
{
"cell_type": "code",
"execution_count": 94,
"metadata": {},
"outputs": [],
"source": [
"def simulate_and_extract(sim_cfg: dict, control_pair, cfg, *, return_labels=False, verbose=False):\n",
" \"\"\"Run JR SDE for control (G, C1) and extract features.\n",
" Parameters\n",
" ----------\n",
" sim_cfg : dict\n",
" Base simulator configuration (copied internally).\n",
" control_pair : tuple(float, float)\n",
" (G, C1) values.\n",
" cfg : Any\n",
" Feature-extraction configuration from vbi.\n",
" return_labels : bool\n",
" Also return the feature labels.\n",
" Returns\n",
" -------\n",
" np.ndarray or (np.ndarray, list[str])\n",
" Feature vector (and labels if requested).\n",
" \"\"\"\n",
" g_val, c1_val = control_pair\n",
" local_cfg = deepcopy(sim_cfg)\n",
" controls = {\"G\": float(g_val), \"C1\": float(c1_val)}\n",
" solver = JR_sde(local_cfg)\n",
" sol = solver.run(controls)\n",
"\n",
" # Extract features per node, then aggregate as configured\n",
" stats = extract_features_df(\n",
" ts=[sol[\"x\"].T], cfg=cfg, fs=fs_hz, n_workers=1, verbose=verbose\n",
" )\n",
" vec = stats.values[0]\n",
" if return_labels:\n",
" return vec, list(stats.columns)\n",
" return vec"
]
},
{
"cell_type": "code",
"execution_count": 95,
"metadata": {},
"outputs": [],
"source": [
"def run_batch(sim_cfg: dict, control_list, cfg, n_workers: int = 1):\n",
" \"\"\"Parallel batch of simulate_and_extract with a tqdm progress bar.\"\"\"\n",
" n_total = len(control_list)\n",
" def _update(_):\n",
" pbar.update()\n",
" with Pool(processes=n_workers) as pool:\n",
" with tqdm(total=n_total, desc=\"Simulations\") as pbar:\n",
" async_results = [\n",
" pool.apply_async(\n",
" simulate_and_extract, args=(sim_cfg, control_list[i], cfg), callback=_update\n",
" )\n",
" for i in range(n_total)\n",
" ]\n",
" features_list = [res.get() for res in async_results]\n",
" return features_list"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Probe labels once"
]
},
{
"cell_type": "code",
"execution_count": 96,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"n_features (raw): 18\n"
]
}
],
"source": [
"feat_vec_probe, FEATURE_LABELS = simulate_and_extract(SIM_CFG, TRUE_THETA, feat_cfg, return_labels=True)\n",
"print(f\"n_features (raw): {len(feat_vec_probe)}\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"6) Prior and sampling of parameters (θ)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Define box prior for [G, C1]"
]
},
{
"cell_type": "code",
"execution_count": 97,
"metadata": {},
"outputs": [],
"source": [
"G_MIN, G_MAX = 0.0, 5.0\n",
"C1_MIN, C1_MAX = 130.0, 300.0\n",
"PRIOR_BOUNDS_MIN = [G_MIN, C1_MIN]\n",
"PRIOR_BOUNDS_MAX = [G_MAX, C1_MAX]\n",
"PRIOR = BoxUniform(low=PRIOR_BOUNDS_MIN, high=PRIOR_BOUNDS_MAX)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Simulation campaign settings"
]
},
{
"cell_type": "code",
"execution_count": 98,
"metadata": {},
"outputs": [],
"source": [
"N_SIMULATIONS: int = 200\n",
"N_WORKERS: int = 10"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"7) Dataset build (with LOAD_DATA control)"
]
},
{
"cell_type": "code",
"execution_count": 99,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"Simulations: 100%|██████████| 200/200 [01:09<00:00, 2.90it/s]"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Saved dataset cache → output/jansen_rit_sde_numba_cde_/jr_cde_dataset.npz\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"\n"
]
}
],
"source": [
"if LOAD_DATA and os.path.exists(CACHE_FILE):\n",
" # Reuse previously generated features and parameters\n",
" cache = np.load(CACHE_FILE, allow_pickle=True)\n",
" THETA = cache[\"theta\"].astype(np.float32)\n",
" FEATURES = cache[\"features\"].astype(np.float32)\n",
" SCALER_MEAN = cache[\"scaler_mean\"].astype(np.float32)\n",
" SCALER_SCALE = cache[\"scaler_scale\"].astype(np.float32)\n",
" NONZERO_MASK = cache[\"nonzero_mask\"].astype(bool)\n",
" FEATURE_LABELS = list(cache[\"labels\"].tolist())\n",
" print(f\"Loaded cached dataset: {FEATURES.shape} features for {THETA.shape[0]} samples\")\n",
"else:\n",
" # Fresh simulations\n",
" THETA = PRIOR.sample(N_SIMULATIONS, seed=RNG_SEED).astype(np.float32)\n",
" raw_features = run_batch(SIM_CFG, THETA, feat_cfg, n_workers=N_WORKERS)\n",
" FEATURES = np.asarray(raw_features, dtype=np.float32)\n",
"\n",
" # Standardize and optionally drop near-constant features\n",
" scaler = StandardScaler()\n",
" FEATURES = scaler.fit_transform(FEATURES).astype(np.float32)\n",
" NONZERO_MASK = (np.var(FEATURES, axis=0) > 1e-6)\n",
" FEATURES = FEATURES[:, NONZERO_MASK]\n",
" SCALER_MEAN = scaler.mean_.astype(np.float32)\n",
" # sklearn stores var_, convert to std as used in transform (avoid recomputing)\n",
" SCALER_SCALE = scaler.scale_.astype(np.float32)\n",
" if SAVE_DATA:\n",
" np.savez(\n",
" CACHE_FILE,\n",
" theta=THETA,\n",
" features=FEATURES,\n",
" scaler_mean=SCALER_MEAN,\n",
" scaler_scale=SCALER_SCALE,\n",
" nonzero_mask=NONZERO_MASK,\n",
" labels=np.array(FEATURE_LABELS, dtype=object),\n",
" )\n",
" print(f\"Saved dataset cache → {CACHE_FILE}\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"8) Observation features (x₀) at TRUE_THETA"
]
},
{
"cell_type": "code",
"execution_count": 100,
"metadata": {},
"outputs": [],
"source": [
"x0_vec = simulate_and_extract(SIM_CFG, TRUE_THETA, feat_cfg)\n",
"# Apply the same standardization/masking as training features\n",
"x0_std = ((x0_vec - SCALER_MEAN) / (SCALER_SCALE + 1e-12)).astype(np.float32)\n",
"x0_std = x0_std[NONZERO_MASK][None, :] # shape (1, n_features_kept)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"9) Train CDE (MAF) and sample posterior"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"NOTE: you can tune these (see your sbi-like MAF estimator)"
]
},
{
"cell_type": "code",
"execution_count": 101,
"metadata": {},
"outputs": [],
"source": [
"maf_rng = anp.random.RandomState(RNG_SEED)\n",
"maf = MAFEstimator(n_flows=4, hidden_units=64)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Train on full (θ, x) pairs"
]
},
{
"cell_type": "code",
"execution_count": 102,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Inferred dimensions: param_dim=2, feature_dim=17\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"Training: 100%|██████████| 500/500 [00:08<00:00, 57.77it/s, patience=3/20, train=-0.8013, val=-0.1472]\n"
]
}
],
"source": [
"maf.train(\n",
" params=THETA, # θ ∈ R^{N×2}\n",
" features=FEATURES, # x ∈ R^{N×M}\n",
" n_iter=500,\n",
" learning_rate=2e-4,\n",
" use_tqdm=True,\n",
")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Draw posterior samples at x₀"
]
},
{
"cell_type": "code",
"execution_count": 103,
"metadata": {},
"outputs": [],
"source": [
"posterior_samples = maf.sample(x0_std, n_samples=5000, rng=maf_rng)[0]"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Diagnostics"
]
},
{
"cell_type": "code",
"execution_count": 104,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"True parameters: [ 1.5 135. ]\n",
"MAF mean estimate: [ 2.0583837 134.67921 ]\n",
"Posterior shrinkage: [-0.918, 0.999]\n",
"Posterior z-score: [0.283, 0.185]\n"
]
}
],
"source": [
"shrinkage = posterior_shrinkage_numpy(THETA, posterior_samples)\n",
"zscores = posterior_zscore_numpy(TRUE_THETA, posterior_samples)\n",
"print(\"True parameters: \", TRUE_THETA)\n",
"print(\"MAF mean estimate: \", np.mean(posterior_samples, axis=0))\n",
"print(\"Posterior shrinkage: \", np.array2string(shrinkage, precision=3, separator=\", \"))\n",
"print(\"Posterior z-score: \", np.array2string(zscores, precision=3, separator=\", \"))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"10) Visualization: posterior pairplot"
]
},
{
"cell_type": "code",
"execution_count": 105,
"metadata": {},
"outputs": [],
"source": [
"from vbi.plot import pairplot_numpy"
]
},
{
"cell_type": "code",
"execution_count": 106,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Saved figure → output/jansen_rit_sde_numba_cde_/jr_sde_cde_pairplot.jpeg\n"
]
},
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"limits = [[lo, hi] for lo, hi in zip(PRIOR_BOUNDS_MIN, PRIOR_BOUNDS_MAX)]\n",
"point = TRUE_THETA.reshape(1, -1)\n",
"fig, ax = pairplot_numpy(\n",
" posterior_samples,\n",
" limits=limits,\n",
" figsize=(5, 5),\n",
" points=point,\n",
" labels=[\"G\", r\"$C_{1}$\"],\n",
" upper=\"kde\",\n",
" diag=\"kde\",\n",
" fig_kwargs=dict(\n",
" points_offdiag=dict(marker=\"*\", markersize=10),\n",
" points_colors=[\"g\"],\n",
" ),\n",
")\n",
"ax[0, 0].tick_params(labelsize=14)\n",
"ax[0, 0].margins(y=0)\n",
"fig.savefig(os.path.join(OUT_DIR, \"jr_sde_cde_pairplot.jpeg\"), dpi=300)\n",
"print(\"Saved figure →\", os.path.join(OUT_DIR, \"jr_sde_cde_pairplot.jpeg\"))"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"language_info": {
"name": "python"
}
},
"nbformat": 4,
"nbformat_minor": 2
}