Project Grant 2611908
- The National Science Foundation Division of Chemical, Bioengineering, Environmental, and Transport Systems awarded North Carolina State University $549,353 on July 1, 2026, under the Engineering program (CFDA 47.041) to develop a dynamical-systems framework for analyzing global optimization algorithms used in engineering design. The recipient will model widely used optimization algorithms—including stochastic gradient Langevin dynamics, branch-and-bound, outer approximation, and black-box...
- The National Science Foundation awarded the University of North Carolina at Chapel Hill $380,000 on July 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) for collaborative research on machine learning on stratified matrix manifolds under group actions. The project develops novel methodologies integrating topology, geometry, and machine learning to enable data-driven discovery across scientific domains. Work is organized into three thrusts: establishing mathematical and...
- The National Science Foundation Division of Mathematical Sciences awarded the University of North Carolina at Chapel Hill $250,000 on July 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to develop theoretical foundations, methodological approaches, and computational tools for modeling time-dependent systems characterized by unknown heterogeneity across multiple subjects. The project advances a unified statistical and machine learning framework for analyzing complex...
- The National Science Foundation Division of Mathematical Sciences awarded the University of North Carolina at Chapel Hill $199,730 under the Mathematical and Physical Sciences program (CFDA 47.049) on September 1, 2026, for research on interacting agent systems in optimal control and game theory. The recipient will develop mathematical frameworks for understanding large systems of interacting agents—such as economic systems, telecommunication grids, social networks, and generative AI...
- The National Science Foundation Division of Mathematical Sciences awarded the University of North Carolina at Chapel Hill $350,000 on July 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to develop mimetic immersed boundary methods for fluid-structure interaction simulation. The project will create improved computational and mathematical tools to simulate systems where fluids and structures influence each other—applications spanning cardiovascular modeling, medical...
- The National Science Foundation Division of Civil, Mechanical, and Manufacturing Innovation awarded South Dakota School of Mines & Technology $473,503 on October 1, 2026, under the Engineering program (CFDA 47.041) to develop mathematical and computational methods for discovering governing equations of multidimensional engineering systems directly from data while preserving spatial and temporal structure. The award supports research extending sparse identification of nonlinear dynamics...
- The National Science Foundation Division of Mathematical Sciences awarded the University of North Carolina at Chapel Hill $100,000 on June 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to develop theory, methodology, and software for statistical inference on spatiotemporal rates of change and boundary assessment in large, complex spatiotemporally indexed datasets. The project, which runs through May 31, 2029, focuses on quantifying and understanding change within...
- 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 Civil, Mechanical, and Manufacturing Innovation awarded the University of North Carolina at Chapel Hill $615,000 on June 1, 2026, under the Engineering program (CFDA 47.041) to support research into cellular force generation and migration through complex three-dimensional environments. The project, titled "Connecting Physical Forces to Cell Migration Through Complex Environments," develops experimental and computational methods to...
- 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...
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 create new approaches for system identification, model order reduction, stability analysis, controllability, stabilizability, and optimal control of systems where multiple entities interact simultaneously rather than in pairs. The work exploits structured tensor representations and low-rank tensor decompositions to improve computational efficiency while enabling new theoretical insights. Deliverables include open-source software and datasets, graduate and undergraduate student training, and dissemination through workshops and educational outreach activities. The award supports research applicable to precision medicine, coordinated autonomous systems, ecosystems, biological networks, social and technological networks, and other domains where current computational methods overlook complex higher-order interactions. Work is performed at Chapel Hill, North Carolina, with a period of performance from October 1, 2026, through September 30, 2029. The assistance type is Project Grant.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $410.0k | 8/11/26 |