Summary
International Symposium on Nonlinear Theory and Its Applications
2022
Session Number:B1L-B
Session:
Number:B1L-B-02
Koopman Operators and Inverse Problems
Haoran Wang , John Burns , Jia Guo , Andrew Kurdila , Sai Tej Paruchuri , Nathan Powell,
pp.212-214
Publication Date:12/12/2022
Online ISSN:2188-5079
Summary:
This paper derives the error bounds for the approximations of the Koopman operators. The error bounds are derived by interpreting the Koopman operators in terms of an inverse problem. By using the Jackson and Bernstein inequalities for approximation in native spaces, errors bounds are derived in terms of the fill distance of samples in the configurations spaces.