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Granger causality is a commonly used method for uncovering information flow and dependencies in a time series. Here we introduce JGC (Jacobian Granger Causality), a neural network-based approach to Granger causality using the Jacobian as a…

Machine Learning · Computer Science 2022-05-20 Suryadi , Yew-Soon Ong , Lock Yue Chew

Wiener and Granger have introduced an intuitive concept of causality between two variables which is based on the idea that an effect never occurs before its cause. Later, Geweke has generalized this concept to a multivariate Granger…

Granger causality, a popular method for determining causal influence between stochastic processes, is most commonly estimated via linear autoregressive modeling. However, this approach has a serious drawback: if the process being modeled…

Statistics Theory · Mathematics 2016-06-29 Lionel Barnett , Anil K. Seth

This article proposes a systematic methodological review and objective criticism of existing methods enabling the derivation of time-varying Granger-causality statistics in neuroscience. The increasing interest and the huge number of…

Applications · Statistics 2017-04-12 Sezen Cekic , Didier Grandjean , Olivier Renaud

We study the problem of learning Granger causality between event types from asynchronous, interdependent, multi-type event sequences. Existing work suffers from either limited model flexibility or poor model explainability and thus fails to…

Machine Learning · Computer Science 2020-02-20 Wei Zhang , Thomas Kobber Panum , Somesh Jha , Prasad Chalasani , David Page

An approach is proposed for inferring Granger causality between jointly stationary, Gaussian signals from quantized data. First, a necessary and sufficient rank criterion for the equality of two conditional Gaussian distributions is proved.…

Systems and Control · Electrical Eng. & Systems 2022-02-07 Salman Ahmadi , Girish N. Nair , Erik Weyer

Granger causality, commonly used for inferring causal structures from time series data, has been adopted in widespread applications across various fields due to its intuitive explainability and high compatibility with emerging deep neural…

Machine Learning · Computer Science 2024-06-18 Ziyi Zhang , Shaogang Ren , Xiaoning Qian , Nick Duffield

Granger causality analysis is a popular method for inference on directed interactions in complex systems of many variables. A shortcoming of the standard framework for Granger causality is that it only allows for examination of interactions…

Neurons and Cognition · Quantitative Biology 2010-04-14 Adam B. Barrett , Lionel Barnett , Anil K. Seth

The paper investigates the link between Granger causality graphs recently formalized by Eichler and directed information theory developed by Massey and Kramer. We particularly insist on the implication of two notions of causality that may…

Information Theory · Computer Science 2012-03-27 Pierre-Olivier Amblard , Olivier J. J. Michel

In this letter we discuss use of Granger causality to the analyze systems of coupled circular variables, by modifying a recently proposed method for multivariate analysis of causality. We show the application of the proposed approach on…

Disordered Systems and Neural Networks · Physics 2015-05-13 Leonardo Angelini , Mario Pellicoro , Sebastiano Stramaglia

Inference of causality is central in nonlinear time series analysis and science in general. A popular approach to infer causality between two processes is to measure the information flow between them in terms of transfer entropy. Using…

Chaotic Dynamics · Physics 2015-04-16 Jie Sun , Erik M. Bollt

Exploratory analysis of time series data can yield a better understanding of complex dynamical systems. Granger causality is a practical framework for analysing interactions in sequential data, applied in a wide range of domains. In this…

Machine Learning · Computer Science 2021-01-20 Ričards Marcinkevičs , Julia E. Vogt

It is often useful in multivariate time series analysis to determine statistical causal relations between different time series. Granger causality is a fundamental measure for this purpose. Yet the traditional pairwise approach to Granger…

Neurons and Cognition · Quantitative Biology 2007-05-23 Yonghong Chen , Steven L. Bressler , Mingzhou Ding

That physiological oscillations of various frequencies are present in fMRI signals is the rule, not the exception. Herein, we propose a novel theoretical framework, spatio-temporal Granger causality, which allows us to more reliably and…

Applications · Statistics 2018-03-15 Qiang Luo , Wenlian Lu , Wei Cheng , Pedro A. Valdes-Sosa , Xiaotong Wen , Mingzhou Ding , Jianfeng Feng

Causality in time series can be challenging to determine, especially in the presence of non-linear dependencies. Granger causality helps analyze potential relationships between variables, thereby offering a method to determine whether one…

Machine Learning · Computer Science 2025-10-13 Harsh Poonia , Felix Divo , Kristian Kersting , Devendra Singh Dhami

Granger causality is widely used for causal structure discovery in complex systems from multivariate time series data. Traditional Granger causality tests based on linear models often fail to detect even mild non-linear causal…

Machine Learning · Computer Science 2025-10-23 Ziyi Zhang , Shaogang Ren , Xiaoning Qian , Nick Duffield

Granger causality analysis, as one of the most popular time series causality methods, has been widely used in the economics, neuroscience. However, unobserved confounders is a fundamental problem in the observational studies, which is still…

Machine Learning · Computer Science 2019-09-10 Yuan Meng

Granger causality has been used for the investigation of the inter-dependence structure of the underlying systems of multi-variate time series. In particular, the direct causal effects are commonly estimated by the conditional Granger…

Methodology · Statistics 2016-04-20 Elsa Siggiridou , Dimitris Kugiumtzis

As neuroscientists we want to understand how causal interactions or mechanisms within the brain give rise to perception, cognition, and behavior. It is typical to estimate interaction effects from measured activity using statistical…

Neurons and Cognition · Quantitative Biology 2020-10-26 David Marc Anton Mehler , Konrad Paul Kording

Understanding causal relationships in time series is fundamental to many domains, including neuroscience, economics, and behavioral science. Granger causality is one of the well-known techniques for inferring causality in time series.…

Artificial Intelligence · Computer Science 2025-08-04 Chakattrai Sookkongwaree , Tattep Lakmuang , Chainarong Amornbunchornvej