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Unified causality analysis based on the degrees of freedom

Telcs, András; Kurbucz, Marcell T; Jakovác, Antal; (2025) Unified causality analysis based on the degrees of freedom. Physical Review E , 112 , Article 014204. 10.1103/PhysRevE.112.014204. Green open access

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Abstract

Temporally evolving systems are typically modeled by dynamic equations. A key challenge in accurate modeling is understanding the causal relationships between subsystems, as well as identifying the presence and influence of unobserved hidden drivers on the observed dynamics. This paper presents a unified method capable of identifying fundamental causal relationships between pairs of systems, whether deterministic or stochastic. Notably, the method also uncovers hidden common causes beyond the observed variables. By analyzing the degrees of freedom in the system, our approach provides a more comprehensive understanding of both causal influence and hidden confounders. This unified framework is validated through theoretical models and simulations, demonstrating its robustness and potential for broader application.

Type: Article
Title: Unified causality analysis based on the degrees of freedom
Open access status: An open access version is available from UCL Discovery
DOI: 10.1103/PhysRevE.112.014204
Publisher version: https://doi.org/10.1103/PhysRevE.112.014204
Language: English
Additional information: Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license, https://creativecommons.org/licenses/by/4.0/. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI.
UCL classification: UCL
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of the Built Environment
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of the Built Environment > UCL Institute for Global Prosperity
URI: https://discovery.ucl.ac.uk/id/eprint/10211263
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