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This paper addresses the problem of inferring circulation of information between multiple stochastic processes. We discuss two possible frameworks in which the problem can be studied: directed information theory and Granger causality. The…

Information Theory · Computer Science 2011-11-02 Pierre-Olivier Amblard , Olivier J. J. Michel

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

Differential Granger causality, that is understanding how Granger causal relations differ between two related time series, is of interest in many scientific applications. Modeling each time series by a vector autoregressive (VAR) model, we…

Methodology · Statistics 2021-09-24 Yue Wang , Jing Ma , Ali Shojaie

This paper contributes to the understanding of strongly coupled spatio-temporal processes by describing a generic method based on Granger causality. The method is validated by the robust identification of causality regimes and of their…

Applications · Statistics 2017-09-27 Juste Raimbault

The description of the dynamics of complex systems, in particular the capture of the interaction structure and causal relationships between elements of the system, is one of the central questions of interdisciplinary research. While the…

Machine Learning · Statistics 2025-04-30 Jakub Kořenek , Pavel Sanda , Jaroslav Hlinka

We study the problem of automatically discovering Granger causal relations from observational multivariate time-series data.Vector autoregressive (VAR) models have been time-tested for this problem, including Bayesian variants and more…

Machine Learning · Computer Science 2024-05-27 He Zhao , Vassili Kitsios , Terence J. O'Kane , Edwin V. Bonilla

Inferring a cause from its effect using observed time series data is a major challenge in natural and social sciences. Assuming the effect is generated by the cause trough a linear system, we propose a new approach based on the hypothesis…

Artificial Intelligence · Computer Science 2015-03-05 Naji Shajarisales , Dominik Janzing , Bernhard Shoelkopf , Michel Besserve

A novel approach is developed for discovering directed connectivity between specified pairs of nodes in a high-dimensional network (HDN) of brain signals. To accurately identify causal connectivity for such specified objectives, it is…

Applications · Statistics 2025-05-06 Sipan Aslan , Hernando Ombao

The abundance of online user data has led to a surge of interests in understanding the dynamics of social relationships using computational methods. Utilizing users' items adoption data, we develop a new method to compute the Granger-causal…

Social and Information Networks · Computer Science 2015-01-07 Freddy Chong Tat Chua , Richard J. Oentaryo , Ee-Peng Lim

Understanding causal relationships within a system is crucial for uncovering its underlying mechanisms. Causal discovery methods, which facilitate the construction of such models from time-series data, hold the potential to significantly…

Machine Learning · Computer Science 2024-07-31 Zsigmond Benkő , Bálint Varga , Marcell Stippinger , Zoltán Somogyvári

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…

Infectious diseases are notorious for their complex dynamics, which make it difficult to fit models to test hypotheses. Methods based on state-space reconstruction have been proposed to infer causal interactions in noisy, nonlinear…

Quantitative Methods · Quantitative Biology 2017-02-08 Sarah Cobey , Edward B. Baskerville

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

With the advancement of deep learning technologies, various neural network-based Granger causality models have been proposed. Although these models have demonstrated notable improvements, several limitations remain. Most existing approaches…

Machine Learning · Computer Science 2025-10-28 Meiliang Liu , Huiwen Dong , Xiaoxiao Yang , Yunfang Xu , Zijin Li , Zhengye Si , Xinyue Yang , Zhiwen Zhao

Identifying the causal structure of systems with multiple dynamic elements is critical to several scientific disciplines. The conventional approach is to conduct statistical tests of causality, for example with Granger Causality, between…

Machine Learning · Statistics 2022-03-22 Jacek P. Dmochowski

Identifying causality behind complex systems plays a significant role in different domains, such as decision making, policy implementations, and management recommendations. However, existing causality studies on temporal event sequences…

Computer Vision and Pattern Recognition · Computer Science 2022-06-14 Sujia Zhu , Yue Shen , Zihao Zhu , Wang Xia , Baofeng Chang , Ronghua Liang , Guodao Sun

Climate change detection and attribution (D&A) is concerned with determining the extent to which anthropogenic activities have influenced specific aspects of the global climate system. D&A fits within the broader field of causal inference,…

Applications · Statistics 2026-04-14 Mark D. Risser , Mohammed Ombadi , Michael F. Wehner

It is a challenging research endeavor to infer causal relationships in multivariate observational time-series. Such data may be represented by graphs, where nodes represent time-series, and edges directed causal influence scores between…

Information Theory · Computer Science 2022-05-09 Axel Wismüller , Ali Vosoughi , Adora DSouza , Anas Abidin

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

Experiments in many fields of science and engineering yield data in the form of time series. The Fourier and wavelet transform-based nonparametric methods are used widely to study the spectral characteristics of these time series data.…

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