3 papers
math.NA2026
Diffusion Maps Kernel Ridge Regression
John Harlim, Daning Huang, Jiwoo Song
In this paper, we study kernel ridge regression using the data-driven diffusion maps (DM) kernel, which is constructed through algebraic manipulations of the diffusion maps algorit…
cs.LG2025
Learning solution operator of dynamical systems with diffusion maps kernel ridge regression
Jiwoo Song, Daning Huang, John Harlim
In this work, we propose a simple kernel ridge regression (KRR) framework with a dynamic-aware validation strategy for long-term prediction of complex dynamical systems. By employi…
physics.flu-dyn2025
Global Description of Flutter Dynamics via Koopman Theory
Jiwoo Song, Daning Huang
This paper presents a novel parametrization approach for aeroelastic systems utilizing Koopman theory, specifically leveraging the Koopman Bilinear Form (KBF) model. To address the…