A GPU-accelerated Multivariate Granger Causality implementation using PyTorch.
Project description
PyTorch-MVGC
PyTorch-MVGC is a GPU-accelerated Python implementation of Multivariate Granger Causality (MVGC) analysis.
It is designed for high-dimensional time-series data (e.g., EEG, fMRI, MEA) where traditional CPU-based implementations are too slow. By leveraging PyTorch tensors and batched matrix operations, this library achieves significant speedups compared to standard NumPy or Matlab implementations.
Features
- 🚀 GPU Acceleration: Fully implemented in PyTorch, supporting CUDA acceleration out-of-the-box.
- ⚡ Batch Processing: Optimized for processing multiple trials or sliding windows simultaneously.
- 🔧 Numerical Stability: Implements Ridge regularization and Pseudo-inverse solvers to handle ill-conditioned matrices common in high-channel neural recordings (e.g., 128-channel EEG).
- 🐍 Python Native: A seamless replacement for the Matlab MVGC toolbox for Python pipelines.
Installation
pip install pytorch-mvgc
Quick Start
import numpy as np
import torch
from pytorch_mvgc import compute_mvgc
# 1. Generate sample data (3 channels, 1000 timepoints)
# System: Node 0 drives Node 1
n_time = 1000
X = np.zeros((3, n_time))
noise = 0.5 * np.random.randn(3, n_time)
for t in range(1, n_time):
X[0, t] = 0.8 * X[0, t-1] + noise[0, t]
X[1, t] = 0.5 * X[1, t-1] + 0.5 * X[0, t-1] + noise[1, t] # 0->1 Causal
X[2, t] = 0.7 * X[2, t-1] + noise[2, t]
# 2. Compute MVGC
# Returns matrix F where F[i, j] denotes causality j -> i
F_matrix = compute_mvgc(X, p=1, device='cuda')
print("MVGC Matrix:\n", np.round(F_matrix, 4))
# Expected: F[1, 0] should be significant (> 0)
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