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math.DS2024
Analytic Extended Dynamic Mode Decomposition
Alexandre Mauroy, Igor Mezic
We develop a novel EDMD-type algorithm that captures the spectrum of the Koopman operator defined on a reproducing kernel Hilbert space of analytic functions. This method, which we…
math.DS2024★ 1 cited
Approximation of the Koopman operator via Bernstein polynomials
Rishikesh Yadav, Alexandre Mauroy
The Koopman operator approach provides a powerful linear description of nonlinear dynamical systems in terms of the evolution of observables. While the operator is typically infini…