1 citations · 1 across the 3 of their papers we have counts for
4 papers
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…
Verifiability and Limit Consistency of Eddy Viscosity Large Eddy Simulation Reduced Order Models
Jorge Reyes, Ping-Hsuan Tsai, Ian Moore +2
Large eddy simulation reduced order models (LES-ROMs) are ROMs that leverage LES ideas (e.g., filtering and closure modeling) to construct accurate and efficient ROMs for convectio…
Symbolic Regression of Data-Driven Reduced Order Model Closures for Under-Resolved, Convection-Dominated Flows
Simone Manti, Ping-Hsuan Tsai, Alessandro Lucantonio +1
Data-driven closures correct the standard reduced order models (ROMs) to increase their accuracy in under-resolved, convection-dominated flows. There are two types of data-driven R…
A Priori Error Bounds and Parameter Scalings for the Time Relaxation Reduced Order Model
Jorge Reyes, Ping-Hsuan Tsai, Julia Novo +1
The a priori error analysis of reduced order models (ROMs) for fluids is relatively scarce. In this paper, we take a step in this direction and conduct numerical analysis of the re…