Statistical mechanics of dynamical system identification

Recovering dynamical equations from observed noisy data is the central challenge of system identification. We develop a statistical mechanics approach to analyze sparse equation discovery algorithms, which typically balance data fit and parsimony via hyperparameter tuning. In this framework, statist...

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Bibliographic Details
Main Authors: Andrei A. Klishin, Joseph Bakarji, J. Nathan Kutz, Krithika Manohar
Format: Article
Language:English
Published: American Physical Society 2025-08-01
Series:Physical Review Research
Online Access:http://doi.org/10.1103/4d98-tdlp
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