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Paper · arXiv

Learning Metastable Dynamics

Metastability---a phenomenon where systems remain trapped in quasi-stable states before abruptly transitioning under rare perturbations---is ubiquitous in physical systems. Although metastability is a widely observed phenomenon, its identification and analysis present significant challenges. To address these challenges, we propose a novel framework for analyzing metastability using Koopman theory. We use a finite set of system trajectories to learn a representation of the dynamics that defines a latent space in which the system evolves linearly, thereby enabling a systematic characterization of metastable behavior through the spectral properties of the linear mapping. Empirical evaluation...

AuthorsRupak Majumdar, Mahmoud Salamati, Nikhil Singh et al.
Primary categorycs.PF
Published13 September 2026
Last updated at source13 September 2026
cs.PFcs.LG
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