Uploaded April 2021 | Updated September 2026, 1 week ago
This lecture explores Koopman based Dynamic Mode Decompositions (DMD) from the kernel space perspective. This particular algorithm is proprietary to our group, and we will have a preprint posted to arXiv soon, which will go over this method plus several misconceptions concerning the Koopman operator.
Dynamic Mode Decomposition, Quasiperiodicity, and Juggling!
0:00 Start and Groundhog Day
0:39 Introduction
3:05 Local Approximations and Quasiperiodicity
3:54 Dynamic Mode Decomposition Overview
8:08 Finite Rank Representations
18:59 Discussion and Adjoints
20:17 MATLAB Example
Music:
Come 2gether by Ooyy
Video Call from Los Angeles by Trevor Kowalski
Wrong by Dan Henig
Sunrise in Paris by Dan Henig
Guardians + Tek by Craig Hardgrove
DMD Code on BitBucket: bitbucket.org/joelrosenfeld/kernel-perspective-dynamic-mode-decomposition/src/master
This lecture explores Koopman based Dynamic Mode Decompositions (DMD) from the kernel space perspective. This particular algorithm is proprietary to our group, and we will have a preprint posted to arXiv soon, which will go over this method plus several misconceptions concerning the Koopman operator.
Dynamic Mode Decomposition, Quasiperiodicity, and Juggling!
0:00 Start and Groundhog Day
0:39 Introduction
3:05 Local Approximations and Quasiperiodicity
3:54 Dynamic Mode Decomposition Overview
8:08 Finite Rank Representations
18:59 Discussion and Adjoints
20:17 MATLAB Example
Music:
Come 2gether by Ooyy
Video Call from Los Angeles by Trevor Kowalski
Wrong by Dan Henig
Sunrise in Paris by Dan Henig
Guardians + Tek by Craig Hardgrove
DMD Code on BitBucket: bitbucket.org/joelrosenfeld/kernel-perspective-dynamic-mode-decomposition/src/master
