Project Grant 2608503
- The National Science Foundation Directorate for Mathematical and Physical Sciences awarded the University of Utah $250,000 on September 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to develop high-fidelity generative mean flow models that integrate artificial intelligence with computational mathematics for scientific machine learning applications. The research addresses computational accuracy and speed challenges in flow-based generative models by establishing a...
- The National Science Foundation Division of Mathematical Sciences awarded the University of Wisconsin–Madison $180,000 on July 15, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to develop fast, flexible, and accurate covariance models for Gaussian processes in machine learning and artificial intelligence applications. The project addresses computational and methodological challenges in scaling Gaussian process models to large, high-resolution datasets by exploiting...
- The National Science Foundation Division of Mathematical Sciences awarded the University of Wisconsin–Madison $250,000 on July 1, 2026, for statistical research on reliable estimation, prediction, and causal inference with AI-generated synthetic datasets under the Mathematical and Physical Sciences program (CFDA 47.049). The project develops statistical foundations and a unified theory for integrating multiple heterogeneous AI-generated synthetic datasets into scientific analysis while...
- The National Science Foundation Division of Mathematical Sciences awarded the University of Wisconsin–Madison $309,038 on September 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to develop a unified mathematical framework connecting random matrices with prescribed margins, Schrödinger bridges, and optimal transport theory, with applications to generative AI for multimodal data. The project addresses the problem of inferring missing structure in systems where...
- The National Science Foundation Division of Mathematical Sciences awarded the University of Wisconsin - Madison $179,999 on July 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to develop mathematical theories for machine learning algorithms that balance statistical accuracy, privacy guarantees, and computational scalability in high-dimensional settings. The project investigates fundamental trade-offs between accuracy, privacy, and computational efficiency in AI...
- The National Science Foundation Division of Mathematical Sciences awarded the University of Wisconsin–Madison $241,200 on August 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to develop novel statistical learning and data embedding tools using spectral techniques rooted in matrix factorizations, truncations, and perturbations, with emphasis on robustness, inference, and modeling. The research program spans methodology, theory, and applications with interdisciplinary...
- The National Science Foundation Directorate for Mathematical and Physical Sciences awarded the University of Washington $139,997 on September 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to develop mathematical theory and computational tools that explain how randomness in data and algorithms combine to shape the performance of large-scale computational methods. The project will build new theoretical frameworks and practical forecasting approaches for randomized...
- The National Science Foundation (NSF) Division of Astronomical Sciences awarded a $349,660 Project Grant to the University of Wisconsin - Madison (UW-Madison) under the NSF's Mathematical and Physical Sciences program (CFDA 47.049). The grant will fund a three-year research project to develop novel probabilistic machine learning techniques, such as normalizing flows, to model cosmological data from upcoming galaxy surveys. The goal is to enable more precise measurements of fundamental physics...
- The University of Wisconsin-Madison received a $276,000 National Science Foundation Project Grant under the Mathematical and Physical Sciences program (CFDA 47.049) for the period of September 1, 2021 through August 31, 2024. The grant funding will support research related to averaging, spectral multipliers, sparse domination and subelliptic operators. As part of its mission to promote progress in the mathematical and physical sciences, the NSF Mathematical and Physical Sciences program provides...
- The National Science Foundation (NSF) awarded a $1,010,056 Project Grant under the Mathematical and Physical Sciences program (CFDA 47.049) to the University of Wisconsin-Milwaukee (UWM). The grant supports a collaborative research effort to develop pseudospin control as a new materials design tool for discovering novel magnetic states and superconductivity. The project will combine computational theory, epitaxial materials growth, and advanced characterization techniques to create guiding...
The National Science Foundation Directorate for Mathematical and Physical Sciences awarded $250,000 to the University of Wisconsin – Madison on September 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to develop high-fidelity generative mean flow models that advance scientific machine learning through a theory-validation feedback loop. The project addresses critical limitations in applying generative AI to physical simulations by building a new class of AI models designed specifically for scientific and engineering applications with rigorous accuracy guarantees and reduced computational costs. Research goals focus on flow-based generative models, targeting three key challenges: closing the fidelity gap relative to diffusion models, reducing computational complexity during sampling, and establishing application-driven validation loops. The work aims to accelerate complex computations in fields of federal strategic interest, including nanoscale material design for electronic devices and plasma control for nuclear fusion energy production. The award runs through August 31, 2029, with place of performance in Madison, Wisconsin. Beyond scientific advancement, the project supports training and education of three to four doctoral students at the University of Wisconsin – Madison and the University of Wisconsin – Milwaukee, funds curriculum development in data science and stochastic computation, and disseminates open-source software and research findings through international workshops to develop a highly skilled STEM workforce.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $250.0k | 7/31/26 |