NSF award 2606034 · University of California-Los Angeles

Generalization Capabilities of Machine Learning for Solving Multiple Partial Differential Equations

Final report due

28 January 2030

in 1,197 days · The award ends on 30 September 2029.

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Final report due28 Jan 2030in 1197 days
award ending 2029-09-30 · Research.gov
PAPPG 24-1: “no later than 120-days following the end date of the award”
Project outcomes report due28 Jan 2030in 1197 days
award ending 2029-09-30 · Research.gov
PAPPG 24-1: “no later than 120 days following the end date”
Award is closed out28 Jan 2030in 1197 days
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So the final report is due by 28 January 2030.

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Award card

Award number: 2606034
Period of support: 1 Oct 2026 – 30 Sep 2029
Amount: $214,876
Awardee: University of California-Los Angeles, LOS Angeles, CA
Program: APPLIED MATHEMATICS
Directorate: MPS

Abstract

This project develops a rigorous theoretical foundation for multi-operator learning, providing a mathematical framework to understand how neural networks can efficiently learn across collections of complex physical systems. Artificial intelligence (AI) research, and in particular deep learning, has made recent advances in scientific computing, where empirical results outpace our theoretical understanding of why they…

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