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The observable behavior of a complex system reflects the mechanisms governing the internal interactions between the system's components and the effect of external perturbations. Here we show that by capturing the simultaneous activity of…

Disordered Systems and Neural Networks · Physics 2009-11-10 M. Argollo de Menezes , A. -L. Barabasi

Most information dynamics and statistical causal analysis frameworks rely on the common intuition that causal interactions are intrinsically pairwise -- every 'cause' variable has an associated 'effect' variable, so that a 'causal arrow'…

Neurons and Cognition · Quantitative Biology 2019-09-06 Pedro A. M. Mediano , Fernando Rosas , Robin L. Carhart-Harris , Anil K. Seth , Adam B. Barrett

Interaction information is one of the multivariate generalizations of mutual information, which expresses the amount information shared among a set of variables, beyond the information, which is shared in any proper subset of those…

Artificial Intelligence · Computer Science 2017-02-01 AmirEmad Ghassami , Negar Kiyavash

Dynamical behaviors of complex interacting systems, including brain activities, financial price movements, and physical collective phenomena, are associated with underlying interactions between the system's components. The issue of…

Machine Learning · Computer Science 2025-12-03 Shuhan Zheng , Ziqiang Li , Kantaro Fujiwara , Gouhei Tanaka

Inference of causal relations from data now has become an important field in artificial intelligence. During the past 16 years, causality analysis (in a quantitative sense) has been developed independently in physics from first principles.…

Systems and Control · Electrical Eng. & Systems 2022-01-03 X. San Liang

The causal assumptions, the study design and the data are the elements required for scientific inference in empirical research. The research is adequately communicated only if all of these elements and their relations are described…

Methodology · Statistics 2015-05-01 Juha Karvanen

Causality is receiving increasing attention by the artificial intelligence and machine learning communities. This paper gives an example of modelling a recommender system problem using causal graphs. Specifically, we approached the causal…

Information Retrieval · Computer Science 2024-09-17 Emanuele Cavenaghi , Fabio Stella , Markus Zanker

Information flow framed in a computational and complexity context is relevant to the understanding of cognitive processes and awareness. In this paper, we begin with analyzing an information theory framework developed in recent years under…

Neurons and Cognition · Quantitative Biology 2014-02-28 Vahid R. Ramezani

Mendelian randomization implemented through instrumental variable analysis is frequently discussed in causality and recently the number of applications on real data is increasing. However, there are very few discussions to address modern…

Applications · Statistics 2020-04-16 Azam Yazdani

Complex systems have interested researchers across a broad range of fields for many years and as computing has become more accesible and feasible, it is now possible to simulate aspects of these systems. A major point of research is how…

Multiagent Systems · Computer Science 2019-01-16 George Hassan-Coring

Graphical models can represent a multivariate distribution in a convenient and accessible form as a graph. Causal models can be viewed as a special class of graphical models that not only represent the distribution of the observed system…

Methodology · Statistics 2017-06-29 Christina Heinze-Deml , Marloes H. Maathuis , Nicolai Meinshausen

Understanding the laws that govern a phenomenon is the core of scientific progress. This is especially true when the goal is to model the interplay between different aspects in a causal fashion. Indeed, causal inference itself is…

Artificial Intelligence · Computer Science 2025-08-27 Alessio Zanga , Elif Ozkirimli , Fabio Stella

Microscopic structural damage, such as lesions in neural systems or disruptions in urban transportation networks, can impair the dynamics crucial for systems' functionality, such as electrochemical signals or human flows, or any other type…

Physics and Society · Physics 2022-02-22 Arsham Ghavasieh , Giulia Bertagnolli , Manlio De Domenico

Humans and animals exhibit a range of interesting behaviors in dynamic environments, and it is unclear how our brains actively reformat this dense sensory information to enable these behaviors. Experimental neuroscience is undergoing a…

Neurons and Cognition · Quantitative Biology 2023-11-07 Aran Nayebi

Causal discovery is challenging in general dynamical systems because, without strong structural assumptions, the underlying causal graph may not be identifiable even from interventional data. However, many real-world systems exhibit…

Machine Learning · Computer Science 2026-04-07 Panayiotis Panayiotou , Özgür Şimşek

Many complex systems exhibit extreme events far more often than expected for a normal distribution. This work examines how self-similar bursts of activity across several orders of magnitude can emerge from first principles in systems that…

Physics and Society · Physics 2015-11-13 Felix Patzelt

Causal discovery is at the core of human cognition. It enables us to reason about the environment and make counterfactual predictions about unseen scenarios that can vastly differ from our previous experiences. We consider the task of…

Machine Learning · Computer Science 2020-12-01 Yunzhu Li , Antonio Torralba , Animashree Anandkumar , Dieter Fox , Animesh Garg

The inference of causal relationships using observational data from partially observed multivariate systems with hidden variables is a fundamental question in many scientific domains. Methods extracting causal information from conditional…

Machine Learning · Statistics 2020-10-13 Daniel Chicharro , Michel Besserve , Stefano Panzeri

Consciousness spans macroscopic experience and microscopic neuronal activity, yet linking these scales remains challenging. Prevailing theories, such as Integrated Information Theory, focus on a single scale, overlooking how causal power…

Neurons and Cognition · Quantitative Biology 2025-09-16 Zhipeng Wang , Yingqi Rong , Kaiwei Liu , Mingzhe Yang , Jiang Zhang , Jing He

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