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Randomized Sketching and Tensor-Format Solvers for High-Dimensional Models — NSF Award to Virginia Polytechnic Institute and State

Modern science and engineering increasingly rely on numerical simulations of systems with large numbers of interacting variables: new quantum materials with intricate atomic geometries, hot plasmas inside fusion reactors, time-resolved medical image, and many more applications. Storage and manipulation of such high-dim

Award titleRandomized Sketching and Tensor-Format Solvers for High-Dimensional Models
Award ID2608677
AwardeeVirginia Polytechnic Institute and State University
CityBLACKSBURG
StateVA
Amount obligated$249,581
Principal investigatorPaul Cazeaux
ProgramCOMPUTATIONAL MATHEMATICS
Start date07/01/2026
AbstractModern science and engineering increasingly rely on numerical simulations of systems with large numbers of interacting variables: new quantum materials with intricate atomic geometries, hot plasmas inside fusion reactors, time-resolved medical image, and many more applications. Storage and manipulation of such high-dimensional information are often impossible using conventional methods, because the required memory and runtime grow exponentially with the number of variables. This project develops
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