NSF award 2541878 · University of Wisconsin-Madison

CAREER: Random Matrices, Schrodinger Bridges, Optimal Transport, and Generative Modeling

Final report due

29 December 2031

in 1,898 days · The award ends on 31 August 2031.

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Decide about an extension3 May 2031in 1658 days
award ending 2031-08-31 · Research.gov
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Extension request17 Jul 2031in 1733 days
award ending 2031-08-31 · Research.gov
PAPPG 24-1: “at least 45 days prior to the end date”
No-cost extension notice21 Aug 2031in 1768 days
award ending 2031-08-31 · Research.gov
PAPPG 24-1: “at least ten calendar days prior to the end date”
Final report due29 Dec 2031in 1898 days
award ending 2031-08-31 · Research.gov
PAPPG 24-1: “no later than 120-days following the end date of the award”
Project outcomes report due29 Dec 2031in 1898 days
award ending 2031-08-31 · Research.gov
PAPPG 24-1: “no later than 120 days following the end date”
Award is closed out29 Dec 2031in 1898 days
award ending 2031-08-31 · Research.gov
PAPPG 24-1: “financially closed out 120 days after their expiration date”

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NSF lists this award's end date as 31 August 2031.
NSF rules say the final report is due no later than 120 days after that.
So the final report is due by 29 December 2031.

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Award card

Award number: 2541878
Period of support: 1 Sep 2026 – 31 Aug 2031
Amount: $450,000
Awardee: University of Wisconsin-Madison, Madison, WI
Program: APPLIED MATHEMATICS
Directorate: MPS

Abstract

This project aims to develop a unifying theory for random matrices with prescribed margins, Schrödinger bridges, and optimal transport, with direct applications in the development of novel generative AI approaches for multimodal data. The framework addresses the challenge that many large systems afford knowledge from distinct perspectives but lack the full picture. Traffic planners, for instance, may know how many…

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