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math.DS2025
Globalizing manifold-based reduced models for equations and data
Bálint Kaszás, George Haller
One of the very few mathematically rigorous nonlinear model reduction methods is the restriction of a dynamical system to a low-dimensional, sufficiently smooth, attracting invaria…
math.DS2024
Data-Driven Linearization of Dynamical Systems
George Haller, Bálint Kaszás
Dynamic Mode Decomposition (DMD) and its variants, such as extended DMD (EDMD), are broadly used to fit simple linear models to dynamical systems known from observable data. As DMD…