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Physicists are starting to work in areas where noisy signal analysis is required. In these fields, such as Economics, Neuroscience, and Physics, the notion of causality should be interpreted as a statistical measure. We introduce to the lay…

Granger causality method analyzes the time series causalities without building a complex causality graph. However, the traditional Granger causality method assumes that the causalities lie between time series channels and remain constant,…

Methodology · Statistics 2020-06-16 Zhiheng Zhang , Wenbo Hu , Tian Tian , Jun Zhu

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

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

Causal discovery from time-series data has been a central task in machine learning. Recently, Granger causality inference is gaining momentum due to its good explainability and high compatibility with emerging deep neural networks. However,…

Machine Learning · Computer Science 2023-02-16 Yuxiao Cheng , Runzhao Yang , Tingxiong Xiao , Zongren Li , Jinli Suo , Kunlun He , Qionghai Dai

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

Granger causality (GC), a popular statistical method for the inference of directional influences between time series measured from a complex network, is sensitive to high-order (non-pairwise) interactions which fundamentally shape the…

Granger causality is a widely-used criterion for analyzing interactions in large-scale networks. As most physical interactions are inherently nonlinear, we consider the problem of inferring the existence of pairwise Granger causality…

Machine Learning · Computer Science 2020-01-15 Saurabh Khanna , Vincent Y. F. Tan

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 (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

Explaining underlying causes or effects about events is a challenging but valuable task. We define a novel problem of generating explanations of a time series event by (1) searching cause and effect relationships of the time series with…

Computation and Language · Computer Science 2018-04-26 Dongyeop Kang , Varun Gangal , Ang Lu , Zheng Chen , Eduard Hovy

Clustering is an unsupervised learning technique that is useful when working with a large volume of unlabeled data. Complex dynamical systems in real life often entail data streaming from a large number of sources. Although it is desirable…

Machine Learning · Computer Science 2021-05-20 Sin Yong Tan , Homagni Saha , Margarite Jacoby , Gregor P. Henze , Soumik Sarkar

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…

Learning Granger causality from event sequences is a challenging but essential task across various applications. Most existing methods rely on the assumption that event sequences are independent and identically distributed (i.i.d.).…

Machine Learning · Computer Science 2024-03-13 Yuequn Liu , Ruichu Cai , Wei Chen , Jie Qiao , Yuguang Yan , Zijian Li , Keli Zhang , Zhifeng Hao

We study Granger causality testing for high-dimensional time series using regularized regressions. To perform proper inference, we rely on heteroskedasticity and autocorrelation consistent (HAC) estimation of the asymptotic variance and…

Econometrics · Economics 2021-02-02 Andrii Babii , Eric Ghysels , Jonas Striaukas

A widely applied approach to causal inference from a non-experimental time series $X$, often referred to as "(linear) Granger causal analysis", is to regress present on past and interpret the regression matrix $\hat{B}$ causally. However,…

Machine Learning · Statistics 2015-12-23 Philipp Geiger , Kun Zhang , Mingming Gong , Dominik Janzing , Bernhard Schölkopf

We present a constraint-based algorithm for learning causal structures from observational time-series data, in the presence of latent confounders. We assume a discrete-time, stationary structural vector autoregressive process, with both…

Artificial Intelligence · Computer Science 2023-06-02 Raanan Y. Rohekar , Shami Nisimov , Yaniv Gurwicz , Gal Novik

This review systematizes the emerging literature for causal inference using deep neural networks under the potential outcomes framework. It provides an intuitive introduction on how deep learning can be used to estimate/predict…

Machine Learning · Computer Science 2023-11-30 Bernard Koch , Tim Sainburg , Pablo Geraldo , Song Jiang , Yizhou Sun , Jacob Gates Foster

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

This is a comment to the paper 'A study of problems encountered in Granger causality analysis from a neuroscience perspective'. We agree that interpretation issues of Granger Causality in Neuroscience exist (partially due to the historical…

Methodology · Statistics 2017-08-24 Luca Faes , Sebastiano Stramaglia , Daniele Marinazzo