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Complex dynamical systems are prevalent in many scientific disciplines. In the analysis of such systems two aspects are of particular interest: 1) the temporal patterns along which they evolve and 2) the underlying causal mechanisms.…

Methodology · Statistics 2022-05-31 Nicolas-Domenic Reiter , Andreas Gerhardus , Jakob Runge

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

We develop a multivariate functional autoregressive model (MFAR), which captures the cross-correlation among multiple functional time series and thus improves forecast accuracy. We estimate the parameters under the Bayesian dynamic linear…

Methodology · Statistics 2024-05-29 Rituparna Sen , Anandamayee Majumdar , Shubhangi Sikaria

Since interactions in neural systems occur across multiple temporal scales, it is likely that information flow will exhibit a multiscale structure, thus requiring a multiscale generalization of classical temporal precedence causality…

Quantitative Methods · Quantitative Biology 2017-07-13 Sebastiano Stramaglia , Iege Bassez , Luca Faes , Daniele Marinazzo

We introduce an approach which allows detecting causal relationships between variables for which the time evolution is available. Causality is assessed by a variational scheme based on the Information Imbalance of distance ranks, a…

Methodology · Statistics 2024-05-07 Vittorio Del Tatto , Gianfranco Fortunato , Domenica Bueti , Alessandro Laio

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

The Granger framework is useful for discovering causal relations in time-varying signals. However, most Granger causality (GC) methods are developed for densely sampled timeseries data. A substantially different setting, particularly common…

Machine Learning · Computer Science 2024-12-19 Minh Nguyen , Gia H. Ngo , Mert R. Sabuncu

Causal discovery (CD) from time-varying data is important in neuroscience, medicine, and machine learning. Techniques for CD encompass randomized experiments, which are generally unbiased but expensive, and algorithms such as Granger…

Machine Learning · Computer Science 2023-10-11 Xinyue Wang , Konrad Paul Kording

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

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, 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

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 2021-05-11 Chainarong Amornbunchornvej , Elena Zheleva , Tanya Berger-Wolf

Granger causality (GC) is undoubtedly the most widely used method to infer cause-effect relations from observational time series. Several nonlinear alternatives to GC have been proposed based on kernel methods. We generalize kernel Granger…

Chaotic Dynamics · Physics 2020-12-10 Diego Bueso , Maria Piles , Gustau Camps-Valls

We analyze by means of Granger causality the effect of synergy and redundancy in the inference (from time series data) of the information flow between subsystems of a complex network. Whilst we show that fully conditioned Granger causality…

Quantitative Methods · Quantitative Biology 2015-06-19 Sebastiano Stramaglia , Jesus M. Cortes , Daniele Marinazzo

A challenging problem when studying a dynamical system is to find the interdependencies among its individual components. Several algorithms have been proposed to detect directed dynamical influences between time series. Two of the most used…

Data Analysis, Statistics and Probability · Physics 2015-09-09 Alessandro Montalto , Sebastiano Stramaglia , Luca Faes , Giovanni Tessitore , Roberto Prevete , Daniele Marinazzo

Concepts of Granger causality (GC) and Granger autonomy (GA) are central to assess the dynamics of coupled physiologic processes. While causality measures have been already proposed and applied in time and frequency domains, measures…

Signal Processing · Electrical Eng. & Systems 2023-07-20 Laura Sparacino , Yuri Antonacci , Chiara Barà , Angela Valenti , Alberto Porta , Luca Faes

Recent years have seen rapid progress at the intersection between causality and machine learning. Motivated by scientific applications involving high-dimensional data, in particular in biomedicine, we propose a deep neural architecture for…

Machine Learning · Computer Science 2022-12-12 Kai Lagemann , Christian Lagemann , Bernd Taschler , Sach Mukherjee

Cause-effect relationships are typically evaluated by comparing outcome responses to binary treatment values, representing two arms of a hypothetical randomized controlled trial. However, in certain applications, treatments of interest are…

Methodology · Statistics 2022-06-15 Razieh Nabi , Todd McNutt , Ilya Shpitser

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

We study the identification of direct and indirect causes on time series and provide conditions in the presence of latent variables, which we prove to be necessary and sufficient under some graph constraints. Our theoretical results and…

Methodology · Statistics 2020-10-23 Atalanti A. Mastakouri , Bernhard Schölkopf , Dominik Janzing