From the 1 of 26 linked papers with an AI index.
26 papers
From Classification to Regression: Using a Fruitfly to Solve Equations
Shady E. Ahmed, Panos Stinis
The paper proposes a regression method that treats prediction as a classification problem by storing a finite library of local input-output patterns and using similarity‑based weig…
An adaptive phase field framework for large-scale interface evolution problems using a strong-form gradient smoothing approach
Zirui Mao, Alice Xu, Shenyang Hu +4
Multiscale problems with evolving interfaces are ubiquitous in science and engineering. Phase-field models are a powerful tool for simulating interface-dominated phenomena in compu…
Mamba-Assisted Non-Markovian Closure for Reduced-Order Modeling
Zhi-Feng Wei, Saad Qadeer, Panos Stinis
Reduced-order modeling of high-dimensional dynamical systems is often hindered by the non-Markovian closure term that represents the effect of unresolved variables on the resolved…
Uncertainty-aware Multi-fidelity Closure via Conditional Normalizing Flows
Jice Zeng, Shady E. Ahmed, David Barajas-Solano +1
Reduced-order models (ROMs) provide efficient surrogates for complex multiscale systems, but their predictive accuracy is often compromised by truncation errors and the inadequate…
ArGEnT: Arbitrary Geometry-encoded Transformer for Operator Learning
Wenqian Chen, Yucheng Fu, Zhi-Feng Wei +3
Learning solution operators on arbitrary geometries remains a central challenge in scientific machine learning, especially for many-query simulation, physics-informed learning, and…
Assessing Emulator Design and Training for Modal Aerosol Microphysics Parameterizations in E3SMv2
Shady E. Ahmed, Hui Wan, Saad Qadeer +5
Toward the goal of using Scientific Machine Learning (SciML) emulators to improve the numerical representation of aerosol processes in global atmospheric models, we explore the emu…