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Inferring causal relationships in observational time series data is an important task when interventions cannot be performed. Granger causality is a popular framework to infer potential causal mechanisms between different time series. The…

Machine Learning · Computer Science 2022-07-22 Zexuan Yin , Paolo Barucca

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 is among the widely used data-driven approaches for causal analysis of time series data with applications in various areas including economics, molecular biology, and neuroscience. Two of the main challenges of this…

Methodology · Statistics 2023-07-19 Proloy Das , Behtash Babadi

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

Identifying directed interactions between species from time series of their population densities has many uses in ecology. This key statistical task is equivalent to causal time series inference, which connects to the Granger causality (GC)…

Populations and Evolution · Quantitative Biology 2020-11-10 Frederic Barraquand , Coralie Picoche , Matteo Detto , Florian Hartig

Granger causality is a fundamental technique for causal inference in time series data, commonly used in the social and biological sciences. Typical operationalizations of Granger causality make a strong assumption that every time point of…

Machine Learning · Computer Science 2020-11-23 Chainarong Amornbunchornvej , Elena Zheleva , Tanya Y. Berger-Wolf

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 has been employed to investigate causality relations between components of stationary multiple time series. We generalize this concept by developing statistical inference for local Granger causality for multivariate…

Methodology · Statistics 2025-08-12 Yan Liu , Masanobu Taniguchi , Hernando Ombao

Computing Granger causal relations among bivariate experimentally observed time series has received increasing attention over the past few years. Such causal relations, if correctly estimated, can yield significant insights into the…

Data Analysis, Statistics and Probability · Physics 2009-11-13 Hariharan Nalatore , Govindan Rangarajan , Mingzhou Ding

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…

Quantitative Methods · Quantitative Biology 2021-02-17 Sebastiano Stramaglia , Tomas Scagliarini , Yuri Antonacci , Luca Faes

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

We propose a novel framework for studying causal inference of gene interactions using a combination of compressive sensing and Granger causality techniques. The gist of the approach is to discover sparse linear dependencies between time…

Quantitative Methods · Quantitative Biology 2015-05-28 Mo Deng , Amin Emad , Olgica Milenkovic

Most of the metrics used for detecting a causal relationship among multiple time series ignore the effects of practical measurement impairments, such as finite sample effects, undersampling and measurement noise. It has been shown that…

Methodology · Statistics 2023-04-03 Rahul Devendra , Ribhu Chopra , Kumar Appaiah

This report reviews the conceptual and theoretical links between Granger causality and directed information theory. We begin with a short historical tour of Granger causality, concentrating on its closeness to information theory. The…

Information Theory · Computer Science 2015-06-12 Pierre-Olivier Amblard , Olivier J. J. Michel

Granger causal inference is a contentious but widespread method used in fields ranging from economics to neuroscience. The original definition addresses the notion of causality in time series by establishing functional dependence…

Methodology · Statistics 2023-09-19 Noah D. Gade , Jordan Rodu

Important information on the structure of complex systems, consisting of more than one component, can be obtained by measuring to which extent the individual components exchange information among each other. Such knowledge is needed to…

Disordered Systems and Neural Networks · Physics 2009-11-13 Daniele Marinazzo , Mario Pellicoro , Sebastiano Stramaglia

Unobserved confounding is one of the main challenges when estimating causal effects. We propose a causal reduction method that, given a causal model, replaces an arbitrary number of possibly high-dimensional latent confounders with a single…

Machine Learning · Statistics 2023-02-24 Maximilian Ilse , Patrick Forré , Max Welling , Joris M. Mooij

Granger causality is a statistical notion of causal influence based on prediction via vector autoregression. Developed originally in the field of econometrics, it has since found application in a broader arena, particularly in neuroscience.…

Mathematical Physics · Physics 2015-05-14 Lionel Barnett , Adam B Barrett , Anil K. Seth

This work extends causal inference with stochastic confounders. We propose a new approach to variational estimation for causal inference based on a representer theorem with a random input space. We estimate causal effects involving latent…

Machine Learning · Statistics 2021-01-26 Thanh Vinh Vo , Pengfei Wei , Wicher Bergsma , Tze-Yun Leong
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