Scientific Machine Learning

Learning Operator Networks

[1] Sanghyun Lee, Yeonjong Shin A Norm-Minimization Based Training Method for Operator Networks
**Presented in SIAM MDS 2022 Conference (MS98 Machine Learning in Numerical PDEs and Their Applications).

Reduced Order Modeling

[1] T. Kadeethum et al. Enhancing high-fidelity nonlinear solver with reduced order model,Scientific Reports 12 (1), 1-15, 2022

Physics Informed Neural Networks

[1] T. Kadeethum, H. M. Nick, and S. Lee Physics Informed Neural Network for Coupled System in Porous Media, in preparation

Optimization, Inverse Problems with Neural Networks

[1] S. Lee, T. Kadeethum, H. M. Nick Choice of Interior Penalty Coefficient for Interior Penalty Discontinuous Galerkin Method for Biot's System by Employing Machine Learning, submitted, 2020