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Main Authors: Chibbaro, Sergio, Furtlehner, Cyril, Marchetta, Théo, Pantea, Andrei-Tiberiu, Rossetti, Davide
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2509.07701
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author Chibbaro, Sergio
Furtlehner, Cyril
Marchetta, Théo
Pantea, Andrei-Tiberiu
Rossetti, Davide
author_facet Chibbaro, Sergio
Furtlehner, Cyril
Marchetta, Théo
Pantea, Andrei-Tiberiu
Rossetti, Davide
contents Causal relationships play a fundamental role in understanding the world around us. The ability to identify and understand cause-effect relationships is critical to making informed decisions, predicting outcomes, and developing effective strategies. However, deciphering causal relationships from observational data is a difficult task, as correlations alone may not provide definitive evidence of causality. In recent years, the field of machine learning (ML) has emerged as a powerful tool, offering new opportunities for uncovering hidden causal mechanisms and better understanding complex systems. In this work, we address the issue of detecting the intrinsic causal links of a large class of complex systems in the framework of the response theory in physics. We develop some theoretical ideas put forward by [1], and technically we use state-of-the-art ML techniques to build up models from data. We consider both linear stochastic and non-linear systems. Finally, we compute the asymptotic efficiency of the linear response based causal predictor in a case of large scale Markov process network of linear interactions.
format Preprint
id arxiv_https___arxiv_org_abs_2509_07701
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Building causation links in stochastic nonlinear systems from data
Chibbaro, Sergio
Furtlehner, Cyril
Marchetta, Théo
Pantea, Andrei-Tiberiu
Rossetti, Davide
Statistical Mechanics
Machine Learning
Causal relationships play a fundamental role in understanding the world around us. The ability to identify and understand cause-effect relationships is critical to making informed decisions, predicting outcomes, and developing effective strategies. However, deciphering causal relationships from observational data is a difficult task, as correlations alone may not provide definitive evidence of causality. In recent years, the field of machine learning (ML) has emerged as a powerful tool, offering new opportunities for uncovering hidden causal mechanisms and better understanding complex systems. In this work, we address the issue of detecting the intrinsic causal links of a large class of complex systems in the framework of the response theory in physics. We develop some theoretical ideas put forward by [1], and technically we use state-of-the-art ML techniques to build up models from data. We consider both linear stochastic and non-linear systems. Finally, we compute the asymptotic efficiency of the linear response based causal predictor in a case of large scale Markov process network of linear interactions.
title Building causation links in stochastic nonlinear systems from data
topic Statistical Mechanics
Machine Learning
url https://arxiv.org/abs/2509.07701