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Related papers: Granger Causality in Multi-variate Time Series usi…

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We discuss the use of multivariate Granger causality in presence of redundant variables: the application of the standard analysis, in this case, leads to under-estimation of causalities. Using the un-normalized version of the causality…

Quantitative Methods · Quantitative Biology 2015-05-14 L. Angelini , M. de Tommaso , D. Marinazzo , L. Nitti , M. Pellicoro , S. Stramaglia

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

We propose the Granger causality inference Kolmogorov-Arnold Networks (KANGCI), a novel architecture that extends the recently proposed Kolmogorov-Arnold Networks (KAN) to the domain of causal inference. By extracting base weights from KAN…

Machine Learning · Computer Science 2025-02-06 Meiliang Liu , Yunfang Xu , Zijin Li , Zhengye Si , Xiaoxiao Yang , Xinyue Yang , Zhiwen Zhao

While most classical approaches to Granger causality detection assume linear dynamics, many interactions in real-world applications, like neuroscience and genomics, are inherently nonlinear. In these cases, using linear models may lead to…

Machine Learning · Statistics 2021-03-16 Alex Tank , Ian Covert , Nicholas Foti , Ali Shojaie , Emily Fox

Inferring causal relations from time series measurements is an ill-posed mathematical problem, where typically an infinite number of potential solutions can reproduce the given data. We explore in depth a strategy to disambiguate between…

Dynamical Systems · Mathematics 2020-11-04 George Stepaniants , Bingni W. Brunton , J. Nathan Kutz

While most classical approaches to Granger causality detection repose upon linear time series assumptions, many interactions in neuroscience and economics applications are nonlinear. We develop an approach to nonlinear Granger causality…

Machine Learning · Statistics 2018-06-26 Alex Tank , Ian Cover , Nicholas J. Foti , Ali Shojaie , Emily B. Fox

This paper studies multi-horizon Granger causality using high-dimensional local projections in sparse Vector Autoregressive (VAR) systems. Since local projection coefficients are nonlinear transformations of the underlying VAR parameters,…

Econometrics · Economics 2026-02-25 Eugene Dettaa , Endong Wang

Causal interactions in time series networks can be dynamic and nonlinear, making it difficult to identify them using conventional linear causality estimations. We propose a novel approach, called Threshold Autoregressive Modeling for…

Applications · Statistics 2025-09-19 Sipan Aslan , Hernando Ombao

To gain insight into complex systems it is a key challenge to infer nonlinear causal directional relations from observational time-series data. Specifically, estimating causal relationships between interacting components in large systems…

Machine Learning · Computer Science 2021-11-04 Axel Wismüller , Adora M. DSouza , Anas Z. Abidin

The multiple-subject vector autoregression (multi-VAR) model captures heterogeneous network Granger causality across subjects by decomposing individual sparse VAR transition matrices into commonly shared and subject-unique paths. The model…

Methodology · Statistics 2025-10-17 Younghoon Kim , Zachary F. Fisher , Vladas Pipiras

When dealing with time series data, causal inference methods often employ structural vector autoregressive (SVAR) processes to model time-evolving random systems. In this work, we rephrase recursive SVAR processes with possible latent…

Statistics Theory · Mathematics 2024-08-19 Nicolas-Domenic Reiter , Andreas Gerhardus , Jonas Wahl , Jakob Runge

Estimating causal relations is vital in understanding the complex interactions in multivariate time series. Non-linear coupling of variables is one of the major challenges inaccurate estimation of cause-effect relations. In this paper, we…

Machine Learning · Computer Science 2021-10-19 Wasim Ahmad , Maha Shadaydeh , Joachim Denzler

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

Inferring nonlinear and asymmetric causal relationships between multivariate longitudinal data is a challenging task with wide-ranging application areas including clinical medicine, mathematical biology, economics and environmental…

Methodology · Statistics 2021-08-25 Tom Edinburgh , Stephen J. Eglen , Ari Ercole

We propose causal recurrent variational autoencoder (CR-VAE), a novel generative model that is able to learn a Granger causal graph from a multivariate time series x and incorporates the underlying causal mechanism into its data generation…

Machine Learning · Computer Science 2023-01-18 Hongming Li , Shujian Yu , Jose Principe

There is a recent trend to leverage the power of graph neural networks (GNNs) for brain-network based psychiatric diagnosis, which,in turn, also motivates an urgent need for psychiatrists to fully understand the decision behavior of the…

Machine Learning · Statistics 2024-01-30 Kaizhong Zheng , Shujian Yu , Badong Chen

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-Geweke causality (GGC) is a powerful and popular method for identifying directed functional (`causal') connectivity in neuroscience. In a recent paper, Stokes and Purdon [1] raise several concerns about its use. They make two…

Methodology · Statistics 2018-02-07 Lionel Barnett , Adam B. Barrett , Anil K. Seth

There exist several approaches for estimating causal effects in time series when latent confounding is present. Many of these approaches rely on additional auxiliary observed variables or time series such as instruments, negative controls…

Methodology · Statistics 2025-05-27 Tom Hochsprung , Jakob Runge , Andreas Gerhardus

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
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