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Information flow provides a natural measure for the causal interaction between dynamical events. This study extends our previous rigorous formalism of componentwise information flow to the bulk information flow between two complex…

Neurons and Cognition · Quantitative Biology 2021-12-30 X. San Liang

Neural processes in the brain operate at a range of temporal scales. Granger causality, the most widely-used neuroscientific tool for inference of directed functional connectivity from neurophsyiological data, is traditionally deployed in…

Applications · Statistics 2019-07-17 Lionel Barnett , Anil K. Seth

The specific connectivity of a neuronal network is reflected in the dynamics of the signals recorded on its nodes. The analysis of how the activity in one node predicts the behaviour of another gives the directionality in their…

Quantitative Methods · Quantitative Biology 2019-11-21 Víctor J. López-Madrona , Fernanda Matias , Claudio Mirasso , Santiago Canals , Ernesto Pereda

This paper indicates causality as the tool that unifies the analysis of both activations and connectivity of brain areas, obtained with fMRI data. Causality analysis is commonly applied to study connectivity, so this work focuses on…

Methodology · Statistics 2011-02-25 Nevio Dubbini

Granger causal inference is a contentious but widespread method used in fields ranging from economics to neuroscience. The original definition addresses the notion of causality in time series by establishing functional dependence…

Methodology · Statistics 2023-09-19 Noah D. Gade , Jordan Rodu

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

The causal connectivity of a network is often inferred to understand the network function. It is arguably acknowledged that the inferred causal connectivity relies on causality measure one applies, and it may differ from the network's…

Neurons and Cognition · Quantitative Biology 2021-10-20 Zhong-qi K. Tian , Kai Chen , Songting Li , David W. McLaughlin , Douglas Zhou

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

Evaluating the causal effect of an intervention on multivariate outcomes is challenging when the outcomes are interdependent and derived rather than directly observed. Effective connectivity, which summarizes the directional neural…

Methodology · Statistics 2026-04-02 Haiyue Song , Ani Eloyan , Youjin Lee

To infer information flow in any network of agents, it is important first and foremost to establish causal temporal relations between the nodes. Practical and automated methods that can infer causality are difficult to find, and the subject…

Neural and Evolutionary Computing · Computer Science 2024-12-11 Ali Tehrani-Saleh , Christoph Adami

While correlation measures are used to discern statistical relationships between observed variables in almost all branches of data-driven scientific inquiry, what we are really interested in is the existence of causal dependence. Designing…

Machine Learning · Computer Science 2014-06-26 Ishanu Chattopadhyay

Causal inference in brain networks has traditionally relied on regression-based models such as Granger causality, structural equation modeling, and dynamic causal modeling. While effective for identifying directed associations, these…

Neurons and Cognition · Quantitative Biology 2026-04-01 Moo K. Chung , Luigi Maccotta , Aaron Struck

Structural causal models postulate noisy functional relations among a set of interacting variables. The causal structure underlying each such model is naturally represented by a directed graph whose edges indicate for each variable which…

Statistics Theory · Mathematics 2022-03-15 David Strieder , Tobias Freidling , Stefan Haffner , Mathias Drton

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

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

Representation of brain network interactions is fundamental to the translation of neural structure to brain function. As such, methodologies for mapping neural interactions into structural models, i.e., inference of functional connectome…

Neurons and Cognition · Quantitative Biology 2022-03-18 Rahul Biswas , Eli Shlizerman

Causality plays a central role in understanding interactions between variables in complex systems. These systems often exhibit state-dependent causal relationships, where both the strength and direction of causality vary with the value of…

Data Analysis, Statistics and Probability · Physics 2025-08-05 Álvaro Martínez-Sánchez , Adrián Lozano-Durán

Parametric causal modelling techniques rarely provide functionality for counterfactual estimation, often at the expense of modelling complexity. Since causal estimations depend on the family of functions used to model the data, simplistic…

Machine Learning · Statistics 2020-06-16 Álvaro Parafita , Jordi Vitrià

Confounding seriously impairs our ability to learn about causal relations from observational data. Confounding can be defined as a statistical association between two variables due to inputs from a common source (the confounder). For…

Methodology · Statistics 2018-05-17 Anders Ledberg

In an intelligent transportation system, the effects and relations of traffic flow at different points in a network are valuable features which can be exploited for control system design and traffic forecasting. In this paper, we define the…

Systems and Control · Electrical Eng. & Systems 2020-11-24 Sina Molavipour , Germán Bassi , Mladen Čičić , Mikael Skoglund , Karl Henrik Johansson
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