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Building causation links in stochastic nonlinear systems from data

Published: September 9, 2025 | arXiv ID: 2509.07701v1

By: Sergio Chibbaro , Cyril Furtlehner , Théo Marchetta and more

Potential Business Impact:

Finds hidden cause-and-effect in complex systems.

Business Areas:
Predictive Analytics Artificial Intelligence, Data and Analytics, Software

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.

Page Count
24 pages

Category
Condensed Matter:
Statistical Mechanics