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Tuesday, July 02, 2024
11:00 AM - 12:00 PM
CNLS Conference Room (TA-3, Bldg 1690)

Seminar

Koopman Operator Workshop Part II - Occupation Kernels and Koopman Generators for DMD on Continuous Time Systems

Prof. Joel Rosenfeld
Department of Mathematics and Statistics, University of South Florida

Building on the framework and algorithm established in the previous talk, we will discuss how to achieve a pointwise convergent DMD algorithm using Koopman generators (or Liouville operators). This will leverage a tool that embeds trajectory information into a function within a reproducing kernel Hilbert spaced called an occupation kernel. This talk will compactify the Koopman generator in two different ways, and will also introduce a new dynamic operator called Liouville weighted Composition Operators. These pointwise convergent results exemplify the advantages gained by taking this perspective over reproducing kernel ilbert spaces.

Host: Humberto C Godinez (CCS-2) and Nishant Panda (CCS-3)