12 papers
Latent Space Dynamics Identification for Interface Tracking with Application to Shock-Induced Pore Collapse
Seung Whan Chung, Christopher Miller, Youngsoo Choi +3
Capturing sharp, evolving interfaces remains a central challenge in reduced-order modeling, especially when data is limited and the system exhibits localized nonlinearities or disc…
mLaSDI: Multi-stage latent space dynamics identification
William Anderson, Seung Whan Chung, Robert Stephany +1
Accurately solving partial differential equations (PDEs) is essential across many scientific disciplines. However, high-fidelity solvers can be computationally prohibitive, motivat…
Latent Space Element Method
Seung Whan Chung, Youngsoo Choi, Christopher Miller +2
How can we build surrogate solvers that train on small domains but scale to larger ones without intrusive access to PDE operators? Inspired by the Data-Driven Finite Element Method…
Sequential decoder training for improved latent space dynamics identification
William Anderson, Seung Whan Chung, Youngsoo Choi
Accurate numerical solutions of partial differential equations are essential in many scientific fields but often require computationally expensive solvers, motivating reduced-order…
Theory and numerics of subspace approximation of eigenvalue problems
Siu Wun Cheung, Youngsoo Choi, Seung Whan Chung +3
Large-scale eigenvalue problems arise in various fields of science and engineering and demand computationally efficient solutions. In this study, we investigate the subspace approx…
Defining Foundation Models for Computational Science: A Call for Clarity and Rigor
Youngsoo Choi, Siu Wun Cheung, Youngkyu Kim +9
The widespread success of foundation models in natural language processing and computer vision has inspired researchers to extend the concept to scientific machine learning and com…