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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 causal compatibility question asks whether a given causal structure graph -- possibly involving latent variables -- constitutes a genuinely plausible causal explanation for a given probability distribution over the graph's observed…

Quantum Physics · Physics 2022-10-28 Miguel Navascues , Elie Wolfe

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

Artificial intelligence models and methods commonly lack causal interpretability. Despite the advancements in interpretable machine learning (IML) methods, they frequently assign importance to features which lack causal influence on the…

Machine Learning · Computer Science 2024-01-29 Francisco Nunes Ferreira Quialheiro Simoes , Mehdi Dastani , Thijs van Ommen

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

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

Time series data is a collection of chronological observations which is generated by several domains such as medical and financial fields. Over the years, different tasks such as classification, forecasting, and clustering have been…

Machine Learning · Computer Science 2021-02-12 Raha Moraffah , Paras Sheth , Mansooreh Karami , Anchit Bhattacharya , Qianru Wang , Anique Tahir , Adrienne Raglin , Huan Liu

Multivariate time series (MTS) forecasting is an essential problem in many fields. Accurate forecasting results can effectively help decision-making. To date, many MTS forecasting methods have been proposed and widely applied. However,…

Machine Learning · Computer Science 2021-12-16 Ziheng Duan , Haoyan Xu , Yida Huang , Jie Feng , Yueyang Wang

In this foundational expository article on the application of Causality Analysis in IoT, we establish the basic theory and algorithms for estimating Structural and Granger causality factors from measured multichannel sensor data (vector…

Signal Processing · Electrical Eng. & Systems 2022-03-10 PG Madhavan

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…

Causal inference is widely used in various fields, such as biology, psychology and economics, etc. In observational studies, we need to balance the covariates before estimating causal effect. This study extends the one-dimensional entropy…

Methodology · Statistics 2022-05-19 Juan Chen , Yingchun Zhou

Global warming is leading to unprecedented changes in our planet, with great societal, economical and environmental implications, especially with the growing demand of biofuels and food. Assessing the impact of climate on vegetation is of…

Atmospheric and Oceanic Physics · Physics 2020-12-08 Miguel Morata-Dolz , Diego Bueso , Maria Piles , Gustau Camps-Valls

I introduce a novel algorithm and accompanying Python library, named mlcausality, designed for the identification of nonlinear Granger causal relationships. This novel algorithm uses a flexible plug-in architecture that enables researchers…

Machine Learning · Statistics 2023-09-13 Wojciech "Victor" Fulmyk

Many applications collect a large number of time series, for example, the financial data of companies quoted in a stock exchange, the health care data of all patients that visit the emergency room of a hospital, or the temperature sequences…

Information Theory · Computer Science 2017-02-09 Jonathan Mei , José M. F. Moura

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

Granger causality (GC) is often considered not an actual form of causality. Still, it is arguably the most widely used method to assess the predictability of a time series from another one. Granger causality has been widely used in many…

Machine Learning · Computer Science 2023-07-21 Víctor Elvira , Émilie Chouzenoux , Jordi Cerdà , Gustau Camps-Valls

Granger causality is well established within the neurosciences for inference of directed functional connectivity from neurophysiological data. These data usually consist of time series which subsample a continuous-time biophysiological…

Applications · Statistics 2016-09-08 Lionel Barnett , Anil K. Seth

Determining and measuring cause-effect relationships is fundamental to most scientific studies of natural phenomena. The notion of causation is distinctly different from correlation which only looks at association of trends or patterns in…

Methodology · Statistics 2019-10-22 Aditi Kathpalia , Nithin Nagaraj

We investigate how efficiently a known underlying sparse causality structure of a simulated multivariate linear process can be retrieved from the analysis of time-series of short lengths. Causality is quantified from conditional transfer…

Methodology · Statistics 2017-10-06 Tomaso Aste , T. Di Matteo

While causal models are becoming one of the mainstays of machine learning, the problem of uncertainty quantification in causal inference remains challenging. In this paper, we study the causal data fusion problem, where datasets pertaining…

Machine Learning · Statistics 2021-06-08 Siu Lun Chau , Jean-François Ton , Javier González , Yee Whye Teh , Dino Sejdinovic
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