2 papers
math.DS2026
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.DS2025
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…