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Inference of causality is central in nonlinear time series analysis and science in general. A popular approach to infer causality between two processes is to measure the information flow between them in terms of transfer entropy. Using…

Chaotic Dynamics · Physics 2015-04-16 Jie Sun , Erik M. Bollt

The concepts of information transfer and causal effect have received much recent attention, yet often the two are not appropriately distinguished and certain measures have been suggested to be suitable for both. We discuss two existing…

Adaptation and Self-Organizing Systems · Physics 2012-03-05 Joseph T. Lizier , Mikhail Prokopenko

We propose a novel tensor-based formalism for inferring causal structures from time series. An information theoretical analysis of transfer entropy, shows that transfer entropy results from transmission of information over a set of…

Information Theory · Computer Science 2020-04-22 David Sigtermans

Recent research has explored the increasingly important role of social media by examining the dynamics of individual and group behavior, characterizing patterns of information diffusion, and identifying influential individuals. In this…

Social and Information Networks · Computer Science 2011-10-13 Greg Ver Steeg , Aram Galstyan

A central task in analyzing complex dynamics is to determine the loci of information storage and the communication topology of information flows within a system. Over the last decade and a half, diagnostics for the latter have come to be…

Statistical Mechanics · Physics 2016-06-20 Ryan G. James , Nix Barnett , James P. Crutchfield

Understanding information processing in the brain requires the ability to determine the functional connectivity between the different regions of the brain. We present a method using transfer entropy to extract this flow of information…

Neurons and Cognition · Quantitative Biology 2019-03-06 Benjamin Walker , Katherine Newhall

Causal inference is perhaps one of the most fundamental concepts in science, beginning originally from the works of some of the ancient philosophers, through today, but also weaved strongly in current work from statisticians, machine…

Information Theory · Computer Science 2020-03-31 Sudam Surasinghe , Erik M. Bollt

Accurately determining dependency structure is critical to discovering a system's causal organization. We recently showed that the transfer entropy fails in a key aspect of this---measuring information flow---due to its conflation of dyadic…

Information Theory · Computer Science 2017-11-22 Ryan G. James , James P. Crutchfield

The characterisation of neuronal connectivity is one of the most important matters in neuroscience. In this work, we show that a recently proposed informational quantity, the causal mutual information, employed with an appropriate…

Neurons and Cognition · Quantitative Biology 2018-02-14 F. S. Borges , E. L. Lameu , K. C. Iarosz , P. R. Protachevicz , I. L. Caldas , R. L. Viana , E. E. N. Macau , A. M. Batista , M. S. Baptista

Transfer entropy is capable of capturing nonlinear source-destination relations between multi-variate time series. It is a measure of association between source data that are transformed into destination data via a set of linear…

Information Theory · Computer Science 2019-05-28 David Sigtermans

'Causal' direction is of great importance when dealing with complex systems. Often big volumes of data in the form of time series are available and it is important to develop methods that can inform about possible causal connections between…

Statistical Mechanics · Physics 2014-01-24 Fatimah Abdul Razak , Henrik Jeldtoft Jensen

As neuroscientists we want to understand how causal interactions or mechanisms within the brain give rise to perception, cognition, and behavior. It is typical to estimate interaction effects from measured activity using statistical…

Neurons and Cognition · Quantitative Biology 2020-10-26 David Marc Anton Mehler , Konrad Paul Kording

The broad abundance of time series data, which is in sharp contrast to limited knowledge of the underlying network dynamic processes that produce such observations, calls for a rigorous and efficient method of causal network inference. Here…

Information Theory · Computer Science 2015-05-19 Jie Sun , Dane Taylor , Erik M. Bollt

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

How does the information flow between different brain regions during various stimuli? This is the question we aim to address by studying complex cognitive paradigms in terms of Information Theory. To assess creativity and the emergence of…

Neurons and Cognition · Quantitative Biology 2025-07-08 Ania Mesa-Rodríguez , Ernesto Estevez-Rams , Holger Kantz

Transient phenomena play a key role in coordinating brain activity at multiple scales, however,their underlying mechanisms remain largely unknown. A key challenge for neural data science is thus to characterize the network interactions at…

Neurons and Cognition · Quantitative Biology 2022-09-16 Kaidi Shao , Nikos K. Logothetis , Michel Besserve

Information transfer between coupled stochastic dynamics, measured by transfer entropy and information flow, is suggested as a physical process underlying the causal relation of systems. While information transfer analysis has booming…

Statistical Mechanics · Physics 2022-04-29 Yang Tian , Hedong Hou , Yaoyuan Wang , Ziyang Zhang , Pei Sun

Directed information theory deals with communication channels with feedback. When applied to networks, a natural extension based on causal conditioning is needed. We show here that measures built from directed information theory in networks…

Information Theory · Computer Science 2011-11-02 P. O. Amblard , O. J. J. Michel

Transfer entropy, an information-theoretic measure of time-directed information transfer between joint processes, has steadily gained popularity in the analysis of complex stochastic dynamics in diverse fields, including the neurosciences,…

Applications · Statistics 2015-06-05 Lionel Barnett , Terry Bossomaier

Inferring the directionality of interactions between cellular processes is a major challenge in systems biology. Time-lagged correlations allow to discriminate between alternative models, but they still rely on assumed underlying…

Quantitative Methods · Quantitative Biology 2017-11-15 Sourabh Lahiri , Philippe Nghe , Sander J. Tans , Martin Luc Rosinberg , David Lacoste
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