State-Of-The-Art Algorithms For Low-Rank Dynamic Mode Decomposition

no code implementations • 20 Aug 2021 • Patrick Heas, Cedric Herzet

This technical note reviews sate-of-the-art algorithms for linear approximation of high-dimensional dynamical systems using low-rank dynamic mode decomposition (DMD).

Generalized Kernel-Based Dynamic Mode Decomposition

no code implementations • 11 Feb 2020 • Patrick Heas, Cedric Herzet, Benoit Combes

Reduced modeling in high-dimensional reproducing kernel Hilbert spaces offers the opportunity to approximate efficiently non-linear dynamics.

Low-rank Approximation of Linear Maps

no code implementations • 21 Dec 2018 • Patrick Heas, Cedric Herzet

The theorem provides the basis for the design of tractable algorithms for kernel or continuous DMD.