most citedKernel Methods for the Approximation of the Eigenfunctions of the Koopman Operator

9 citations · 13 across the 3 of their papers we have counts for

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math.DS2024★ 9 cited

Kernel Methods for the Approximation of the Eigenfunctions of the Koopman Operator

Jonghyeon Lee, Boumediene Hamzi, Boya Hou +3

The Koopman operator provides a linear framework to study nonlinear dynamical systems. Its spectra offer valuable insights into system dynamics, but the operator can exhibit both d…

math.DS2024★ 4 cited

Gaussian Processes simplify differential equations

Jonghyeon Lee, Boumediene Hamzi, Yannis Kevrekidis +1

In this paper we use Gaussian processes (kernel methods) to learn mappings between trajectories of distinct differential equations. Our goal is to simplify both the representation…