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Multiplicative Dynamic Mode Decomposition
May 10, 2024, 4:42 a.m. | Nicolas Boull\'e, Matthew J. Colbrook
cs.LG updates on arXiv.org arxiv.org
Abstract: Koopman operators are infinite-dimensional operators that linearize nonlinear dynamical systems, facilitating the study of their spectral properties and enabling the prediction of the time evolution of observable quantities. Recent methods have aimed to approximate Koopman operators while preserving key structures. However, approximating Koopman operators typically requires a dictionary of observables to capture the system's behavior in a finite-dimensional subspace. The selection of these functions is often heuristic, may result in the loss of spectral information, …
abstract arxiv cs.lg cs.na dictionary dynamic enabling evolution however key math.ds math.na math.oc math.sp observable operators prediction study systems type while
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