Project Grant 2510856
- The National Science Foundation (NSF) awarded a $239,999 Project Grant under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program to Trustees of Boston University. The grant, awarded on August 1, 2025, supports research to develop a statistical framework for drawing reliable inferences about parameters learned using physics-informed neural networks (PINNs) to solve and estimate the parameters of partial differential equations (PDEs) from noisy observations. The project aims...
- This Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) in the amount of $252,563 supports research on several nonlinear partial differential equations with important applications in science, economics, engineering, meteorology, and physics. Specifically, the project investigates "singular higher-order linearized Monge-Ampère type equations with drifts" which have connections to areas like analysis, geometry,...
- This $240,000 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) will support research to develop a new modeling framework that integrates data-driven insights with physical laws, enabling more accurate and consistent spatial predictions. The key objectives are to: (1) establish a theoretical foundation for these hybrid models, (2) implement inference and spatial interpolation using finite element methods and basis...
- This $149,989 Project Grant award from the National Science Foundation (NSF) Mathematical and Physical Sciences (CFDA 47.049) program will support research to develop statistical models and inference methods for analyzing random point processes. The research will provide tools for analyzing time series of point process data, with applications in fields such as national security, economics, neuroscience, and geosciences. Key activities include developing parameter estimation procedures,...
- This $199,400 Project Grant award from the National Science Foundation (NSF) under the Mathematical and Physical Sciences program (CFDA 47.049) will fund collaborative research to augment continuous data assimilation and perform equation discovery with applications in geophysics. The research aims to develop more accurate predictive models for complex systems like weather, ocean currents, and groundwater flow by systematically adapting and modifying existing physically derived models using...
- This $149,999 Project Grant award from the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049) supports research into techniques for identifying hidden or unknown components in nonlinear differential equation models. The research aims to improve modeling and predictive capabilities for complex physical phenomena, such as fluid flows, turbulence, and weather prediction. The award to the Research Foundation of the City University of New York will provide...
- The National Science Foundation (NSF) Division of Mathematical Sciences awarded a $200,000 Project Grant to The University Corporation, a non-profit organization located in Northridge, CA. The grant, funded under the NSF's Mathematical and Physical Sciences program (CFDA 47.049), focuses on developing new statistical modeling and data resampling methods to address challenges posed by incomplete, missing, and fragmented observations in large datasets. Key objectives include: Advancing...
- This $155,000 project grant awarded by the National Science Foundation (NSF) under the Mathematical and Physical Sciences Federal Grant Program (CFDA 47.049) will develop new simulation-based inference (SBI) methods. These innovations aim to empower scientists to make better use of complex models across diverse domains such as genetics, ecology, biology, economics, and psychology, supporting more scalable, efficient, and reliable decision-making. The project will address two core challenges...
- This Project Grant award of $179,999 from the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program supports comprehensive statistical and computational analyses with the goal of advancing innovative nonparametric data analysis techniques. The research aims to push the boundaries of modern nonparametric statistical inference and develop methodologies applicable to areas such as latent variable models, time series analysis, and sequential nonparametric...
- This $175,000 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports the development of novel Bayesian statistical frameworks to address measurement error challenges in complex multivariate data. The project aims to create more flexible, data-driven methods that can reliably identify meaningful patterns and relationships from noisy, imprecise observations - a common issue in fields like health research, astronomy, and...
The National Science Foundation (NSF) awarded a $270,000 Project Grant under the Mathematical and Physical Sciences Program (CFDA 47.049) to the Trustees of Indiana University for the project "Bayesian Methodologies for PDE Parameter Estimation: Model Problems, Algorithm Development and Applications." The project aims to develop advanced statistical methods to estimate unknown physical parameters from complex, sparse, and noisy data sets by incorporating first-principles physics into the modeling process. The research has applications in fields like medical imaging, weather modeling, robotics, geology, and geophysics, and will also provide comprehensive training for a new generation of scholars in applied mathematics and statistics. The project will run from September 1, 2025 to August 31, 2028.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $270.0k | 8/22/25 |