most citedDefining Foundation Models for Computational Science: A Call for Clarity and Rigor

1 citations · 1 across the 4 of their papers we have counts for

collaborators

5 papers

math.NA2026

Learning Long-Term Stable Operator Inference Reduced-Order Models of Fluid Flows through Online Spatial Filtering

Ian Moore, Ping-Hsuan Tsai, Anthony Gruber +4

This paper introduces an online evolve--filter--relax (EFR) strategy for long-term stability of Operator Inference (OpInf) reduced-order models (ROMs) of complex fluid flow simulat…

math.NA2026

Digital Twins in Coronary Artery Disease: A Mathematical Roadmap

Alessandro Veneziani, Annalisa Quaini, Marco Tezzele +2

The combination of data and models, enhanced by AI methodologies, leads to the paradigm called Digital Twins. This concept is expected to bring unprecedented support to personalize…

physics.flu-dyn2026

StabOp: A Data-Driven Stabilization Operator for Reduced Order Modeling

Ping-Hsuan Tsai, Anna Ivagnes, Annalisa Quaini +2

Spatial filters have played a central role in large eddy simulation and, more recently, in reduced order model (ROM) stabilization for convection-dominated flows. Nevertheless, imp…

cs.LG2025★ 1 cited

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…

physics.flu-dyn2025

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…