2 papers
math.NA2026
Data-Free Asymptotics-Informed Operator Networks for Singularly Perturbed PDEs
Jinsil Lee, Youngjoon Hong, Seungchan Ko +1
Recent advances in machine learning (ML) have opened new possibilities for solving partial differential equations (PDEs), yet robust performance in challenging regimes remains limi…
cs.LG2025
Neural Operator-Based Nonlinear Nudging for Chaotic Dynamical Systems
Jaemin Oh, Jinsil Lee, Youngjoon Hong
Nudging is an empirical data assimilation technique that incorporates an observation-driven control term into the model dynamics. The trajectory of the nudged system approaches the…