2 papers
math.OC2023
A Gradient-Based Optimization Method Using the Koopman Operator
Mengqi Hu, Bian Li, Yi-An Ma +2
In this paper, we propose a novel approach to solving optimization problems by reformulating the optimization problem into a dynamical system, followed by the adaptive spectral Koo…
math.DS2022
The Adaptive Spectral Koopman Method for Dynamical Systems
Bian Li, Yi-An Ma, J. Nathan Kutz +1
Dynamical systems have a wide range of applications in mechanics, electrical engineering, chemistry, and so on. In this work, we propose the adaptive spectral Koopman (ASK) method…