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Healthcare artificial intelligence systems often degrade in performance when deployed across institutions, with documented performance drops and perpetuation of discriminatory patterns embedded in data. This brittleness comes, in part, from…

Machine Learning · Computer Science 2026-03-30 Munib Mesinovic , Max Buhlan , Tingting Zhu

Identifying causal relationships is a challenging yet crucial problem in many fields of science like epidemiology, climatology, ecology, genomics, economics and neuroscience, to mention only a few. Recent studies have demonstrated that…

In this Letter, we address the longstanding challenge of how to reconstruct links in directed networks from measurements, and present a general method that makes use of a noise-induced relation between network structure and both the…

Adaptation and Self-Organizing Systems · Physics 2017-01-11 Emily S. C. Ching , H. C. Tam

Nonlinear relations, such as the curvilinear relationship between childhood trauma and resilience in patients with schizophrenia and the moderation relationship between mentalizing, and internalizing and externalizing symptoms and quality…

Methodology · Statistics 2025-09-16 Lindley R. Slipetz , Jiaxing Qiu , Siqi Sun , Teague R. Henry

Identifying causal relations among simultaneously acquired signals is an important problem in multivariate time series analysis. For linear stochastic systems Granger proposed a simple procedure called the Granger causality to detect such…

Chaotic Dynamics · Physics 2009-11-10 Yonghong Chen , Govindan Rangarajan , Jianfeng Feng , Mingzhou Ding

In distributed systems where strong consistency is costly when not impossible, causal consistency provides a valuable abstraction to represent program executions as partial orders. In addition to the sequential program order of each…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-03-15 Matthieu Perrin , Achour Mostefaoui , Claude Jard

Important information on the structure of complex systems, consisting of more than one component, can be obtained by measuring to which extent the individual components exchange information among each other. Such knowledge is needed to…

Disordered Systems and Neural Networks · Physics 2009-11-13 Daniele Marinazzo , Mario Pellicoro , Sebastiano Stramaglia

The concept of Granger causality is increasingly being applied for the characterization of directional interactions in different applications. A multivariate framework for estimating Granger causality is essential in order to account for…

Methodology · Statistics 2020-11-04 Angeliki Papana , Elsa Siggiridou , Dimitris Kugiumtzis

This paper develops a framework for identification, estimation, and inference on the causal mechanisms driving endogenous social network formation. Identification is challenging because of unobserved confounders and reverse causality;…

Econometrics · Economics 2026-04-21 Maximilian Kasy , Elizabeth Linos , Sanaz Mobasseri

Across scientific disciplines, thresholded pairwise measures of statistical dependence between time series are taken as proxies for the interactions between the dynamical units of a network. Yet such correlation measures often fail to…

Data Analysis, Statistics and Probability · Physics 2018-02-07 Benedict J. Lünsmann , Christoph Kirst , Marc Timme

We propose a method of analysis of dynamical networks based on a recent measure of Granger causality between time series, based on kernel methods. The generalization of kernel Granger causality to the multivariate case, here presented,…

Disordered Systems and Neural Networks · Physics 2009-11-13 Daniele Marinazzo , Mario Pellicoro , Sebastiano Stramaglia

Causal theory is now widely developed with many applications to medicine and public health. However within the discipline of reliability, although causation is a key concept in this field, there has been much less theoretical attention. In…

Artificial Intelligence · Computer Science 2020-02-17 Xuewen Yu , Jim Q. Smith , Linda Nichols

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

Brain science is an evolving research area inviting great enthusiasm with its potential for providing insights and thereby, preventing, and treating multiple neuronal disorders affecting millions of patients. Discovery of relationships,…

Neurons and Cognition · Quantitative Biology 2016-03-17 Bisakha Ray , Alexander V. Alekseyenko , Sisi Ma , Alexander Statnikov , Constantin Aliferis

This PhD thesis contains several contributions to the field of statistical causal modeling. Statistical causal models are statistical models embedded with causal assumptions that allow for the inference and reasoning about the behavior of…

Machine Learning · Statistics 2021-10-05 Martin Emil Jakobsen

Can the direction of time and the causal structure of space-time be inferred from operational principles? Causal models and tensor networks offer complementary perspectives: the former encodes cause-effect relations via directed graphs,…

Quantum Physics · Physics 2026-03-16 Carla Ferradini , Giulia Mazzola , V. Vilasini

Sustainable research on computational models of neuronal networks requires published models to be understandable, reproducible, and extendable. Missing details or ambiguities about mathematical concepts and assumptions, algorithmic…

Structural analysis methods (e.g., probing and feature attribution) are increasingly important tools for neural network analysis. We propose a new structural analysis method grounded in a formal theory of causal abstraction that provides…

Artificial Intelligence · Computer Science 2021-10-28 Atticus Geiger , Hanson Lu , Thomas Icard , Christopher Potts

Identifying causal interactions in complex dynamical systems is a fundamental challenge across the computational sciences. Existing functional connectivity methods capture correlations but not causation. While addressing directionality,…

Neurons and Cognition · Quantitative Biology 2026-03-10 Rahul Biswas , SuryaNarayana Sripada , Somabha Mukherjee , Reza Abbasi-Asl

Continuous time Bayesian networks are investigated with a special focus on their ability to express causality. A framework is presented for doing inference in these networks. The central contributions are a representation of the intensity…

Machine Learning · Statistics 2016-01-26 Jonas Hallgren , Timo Koski