# Local Granger Causality

arXiv: https://arxiv.org/abs/2010.13833 · HTML: https://mlsanity.com/paper/2010.13833/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 26 Oct 2020.

## Built on by (most cited first, 1 of 1)

- [Cooperative effects in feature importance of individual patterns: application to air pollutants and Alzheimer disease](https://mlsanity.com/paper/2508.00930/) (2025)

## Abstract (arXiv)

Granger causality is a statistical notion of causal influence based on prediction via vector autoregression. For Gaussian variables it is equivalent to transfer entropy, an information-theoretic measure of time-directed information transfer between jointly dependent processes. We exploit such equivalence and calculate exactly the 'local Granger causality', i.e. the profile of the information transfer at each discrete time point in Gaussian processes; in this frame Granger causality is the average of its local version. Our approach offers a robust and computationally fast method to follow the information transfer along the time history of linear stochastic processes, as well as of nonlinear complex systems studied in the Gaussian approximation.