Project Grant 2312220

Award Date 7/1/23
Completion Date 6/30/26
Dollars Obligated $540K
Federal Grant Program
47.070
Assistance Type
Project Grant
Place of Performance
New Brunswick, NJ 08901, USA
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The grant will support Rutgers' development of efficient and deterministic methods for solving low-dimensional linear programs with floating-point precision. Key activities include designing scalable solvers that can handle both full-rank and non-full-rank linear programs with billions of constraints and few variables. The university will develop algorithms to identify key constraints, construct convex hulls in high dimensions using geometric duality, and formulate new linear programs to maximize constraint satisfaction. Formal verification approaches will ensure solutions are correct under numerical errors. Evaluation will assess the solver's performance in generating correctly rounded math libraries and fast training of support vector machines.

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