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Collaborative Research: Geometric Scientific Machine Learning for PDEs with Tensorial Cons — NSF Award to University of Illinois a

As artificial intelligence (AI) increasingly accelerates scientific discovery and engineering design, there is a growing need for models that are not only computationally fast but physically reliable. Many current AI approaches rely purely on massive datasets, predicting physical phenomena without incorporating the und

Award titleCollaborative Research: Geometric Scientific Machine Learning for PDEs with Tensorial Cons
Award ID2608775
AwardeeUniversity of Illinois at Urbana-Champaign
CityURBANA
StateIL
Amount obligated$349,985
Principal investigatorAnil Hirani
ProgramCOMPUTATIONAL MATHEMATICS
Start date06/15/2026
AbstractAs artificial intelligence (AI) increasingly accelerates scientific discovery and engineering design, there is a growing need for models that are not only computationally fast but physically reliable. Many current AI approaches rely purely on massive datasets, predicting physical phenomena without incorporating the underlying laws of nature. This purely data-driven approach can lead to predictions that are unstable or physically impossible. This project develops 'physics-preserving' machine lear
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