no code implementations • 14 Dec 2022 • Charles A. Johnson, Shara Balakrishnan, Enoch Yeung
The SILL dictionary's nonlinear functions are homogeneous, a norm in data-driven dictionary learning of Koopman operators.
no code implementations • 14 Dec 2022 • Charles A. Johnson, Shara Balakrishnan, Enoch Yeung
Recently, deep learning combined with EDMD has been used to learn novel dictionary functions in an algorithm called deep dynamic mode decomposition (deepDMD).
no code implementations • 27 Jun 2022 • Charles A. Johnson, Shara Balakrishnan, Enoch Yeung
We discover a novel class of dictionary functions to approximate Koopman observables.
no code implementations • 8 Dec 2017 • Charles A. Johnson, Enoch Yeung
An outstanding challenge in nonlinear systems theory is identification or learning of a given nonlinear system's Koopman operator directly from data or models.