Project Grant 2607997
- The National Science Foundation Division of Mathematical Sciences awarded Michigan State University $200,000 on July 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to develop scalable algorithmic frameworks and mathematical foundations for large-scale tensor data analysis. The project advances computational tools for extracting information from multidimensional datasets that are large, high-dimensional, noisy, and partially corrupted—common in artificial intelligence...
- The National Science Foundation Division of Mathematical Sciences awarded the University of Central Florida Board of Trustees $199,852 on July 1, 2026, to develop scalable algorithmic frameworks for large-scale tensor data analysis under the Mathematical and Physical Sciences program (CFDA 47.049). The project advances mathematical foundations and computational tools for extracting reliable information from high-dimensional, noisy, and partially corrupted multidimensional datasets. Research...
- The National Science Foundation Division of Mathematical Sciences awarded Trustees of Tufts College $300,000 on September 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) for research on tensorizing machine learning to leverage multiway structure in high-dimensional data. The project, titled "CAREER: TENAI: Tensorizing Machine Learning to Leverage Multiway Structure," develops mathematical frameworks based on multidimensional matrices (tensors) to improve the...
- The National Science Foundation Division of Mathematical Sciences awarded $202,898 to The University of Kentucky Research Foundation on September 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to develop geometry-aware methods for comparing distributional data in large-scale datasets. The project addresses computational efficiency in analyzing probability distributions arising from medical imaging, DNA sequencing, and physical experiments. The investigator introduces...
- The National Science Foundation Division of Mathematical Sciences awarded the University of Southern California $100,864 on September 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to develop theoretical and computational methods for incomplete tensors in data-driven applications. The project addresses the practical challenge of reasoning and computing with incomplete, noisy, or partially observable datasets that constrain performance and reliability in real-world...
- Federal Project Grant Summary The National Science Foundation's Division of Mathematical Sciences (CFDA 47.049) awarded The University of Kentucky Research Foundation a $359,756 project grant effective August 1, 2025, through July 31, 2028, to conduct fundamental mathematical research on toric bundles, tropical bundles, and Khovanskii bases. The project will advance understanding of vector bundle theory and its applications across algebraic geometry and combinatorics by extending classical...
- The National Science Foundation Division of Mathematical Sciences awarded The University of Kentucky Research Foundation $180,000 on August 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to develop and apply mathematical tools for studying symmetry and cohomology in algebraic geometry, representation theory, and topology. The project centers on two primary research goals: computing stable cohomology of line bundles on flag varieties in arbitrary characteristic...
- The University of Kentucky Research Foundation was awarded a $160,000 Project Grant from the National Science Foundation Division of Mathematical Sciences. The grant falls under the Mathematical and Physical Sciences program (CFDA 47.049), which aims to promote progress in these fields and strengthen the nation's scientific enterprise. The grant will fund collaborative research on toric geometry, tropical geometry, and combinatorial buildings from September 2021 through August 2024. The research...
- The National Science Foundation Division of Civil, Mechanical, and Manufacturing Innovation awarded the University of North Carolina at Chapel Hill $409,985 on October 1, 2026, under the Engineering program (CFDA 47.041) to develop tensor-based mathematical and computational frameworks for modeling, analyzing, and controlling complex dynamical systems with higher-order interactions. The research integrates tensor theory, nonlinear systems theory, hypergraph theory, and data-driven methods to...
- The National Science Foundation Division of Computing and Communication Foundations awarded The University of Kentucky Research Foundation $420,000 on October 1, 2026, under the Computer and Information Science and Engineering program (CFDA 47.070) to develop mathematical and computational tools for modeling directed group interactions in complex systems. The project creates a unified framework for signal processing, structure learning, and neural network modeling on directed hypergraphs,...
The National Science Foundation Division of Mathematical Sciences awarded The University of Kentucky Research Foundation $235,971 on August 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to develop structure-aware tensor recovery methods via deep operator learning. The project creates mathematical and computational methods integrating tensor representations with artificial intelligence to recover reliable information from incomplete, noisy, or corrupted high-dimensional data. Research deliverables include new mathematical methods for high-dimensional inverse problems, data-driven tensor operators capturing intrinsic data structures, scalable optimization algorithms (deterministic, stochastic, federated, and deep-unrolled variants), theoretical recovery and convergence guarantees, numerical validation on large-scale datasets from imaging and sensing applications, and open-source computational tools. The resulting techniques support applications in medical imaging, computer vision, remote sensing, robotics, and mechanical engineering. The project runs through July 31, 2029, and is performed in Lexington, Kentucky. Educational activities include curriculum development and student mentoring in computational mathematics, scientific machine learning, and artificial intelligence, addressing workforce preparation in these domains.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $236.0k | 7/22/26 |