Here is a list of my papers, both published and under review:
Published Papers
Kernel Methods for the Approximation of the Eigenfunctions of the Koopman Operator (2025), Physica D - J. Lee, B. Hamzi, B. Hou, H. Owhadi, G. Santin, U. Vaidya
Kernel Methods for the Construction of Lyapunov Functions using Koopman Eigenfunctions (2025), NOLCOS - J. Lee, B. Hamzi, H. Owhadi, U. Vaidya
Learning dynamical systems from data, Part III: Irregularly-Sampled Time Series (2023), Physica D - J. Lee, E. De Brouwer, B. Hamzi, H. Owhadi
Gaussian Processes Simplify Differential Equations (2025), Physica D, J. Lee, B. Hamzi, I. Kevrekidis, H. Owhadi
Kernel Methods for the Construction of Certified Lyapunov Functions via Approximate Koopman Eigenfunctions (2026)- P. Giesl, S. Hafstein, B. Hamzi, J. Lee, H. Owhadi, G. Santin, U. Vaidya, Journal of Computational Physics
Preprints
KROM: Kernelized Reduced Order Modeling (2025) - A. Bacho, J. Lee, H. Owhadi, submitted to Journal of Computational Physics
Kernel Methods for Computation of Quasi-Potentials in Stochastic Dynamical Systems (2025)- J. Lee, B. Hamzi, Y. Li, H, Owhadi, U. Vaidya, N. Xie, submitted to Chaos