pyPTE: Phase Transfer Entropy in Python

pyPTE is an open-source Python implementation of the Phase Transfer Entropy method, designed to analyze directed connectivity in networks influenced by oscillatory interactions. This tool is inspired by the following foundational works:

• Lobier et al., 2014: Phase transfer entropy: A novel phase-based measure for directed connectivity in networks coupled by oscillatory interactions.
• Hillebrand et al., 2016: Direction of information flow in large-scale resting-state networks is frequency-dependent.

Introduction

Phase Transfer Entropy (PTE) is a measure for directed connectivity in networks coupled by oscillatory interactions. The pyPTE library provides a Python implementation of this method, allowing researchers and developers to apply PTE analysis to their data.

Mathematical Background

The mathematical formulation of PTE can be described as follows:

Given two time series $X$ and $Y$, the PTE is defined as:

$$PTE_{X \to Y} = H(Y_{t+1} | Y_t) - H(Y_{t+1} | Y_t, X_t)$$

The PTE value quantifies the amount of uncertainty reduced in predicting the future phase of $Y$ when considering the current phase of $X$.

Contributing

Contributions to pyPTE are welcome! If you have suggestions, bug reports, or want to contribute code via Pull Requests

License

pyPTE is released under the GPL-3.0 license. For more details, see the LICENSE file.