Project Grant 2608292
- The National Science Foundation (NSF) Division of Mathematical Sciences awarded a $331,902 Project Grant to the Trustees of Boston University on August 15, 2023 under the Mathematical and Physical Sciences program (CFDA 47.049). The purpose of this 3-year grant is to develop rigorous mathematical analysis and theory for the training algorithms used in neural network models across various machine learning applications. The research will leverage stochastic analysis and weak convergence theory...
- The National Science Foundation Division of Mathematical Sciences awarded $214,876 to the University of California, Los Angeles on October 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049). The project develops a rigorous theoretical foundation for multi-operator learning, establishing a mathematical framework to understand how neural networks can efficiently learn across collections of complex physical systems. The work addresses gaps between empirical advances in deep...
- The National Science Foundation Division of Mathematical Sciences awarded the University of California Irvine $299,999 on August 15, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to conduct theoretical research on discrete approximation, analyzing functions of many yes/no variables and their continuous analogues in discrete and Gaussian spaces. The project investigates how much information is required to learn low-complexity functions, how well complicated functions...
- This $299,889 federal Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program supports research at the University of California, San Diego (UCSD) to develop algorithms for compressing and improving the efficiency of large neural networks used in modern artificial intelligence applications. The key products and services to be delivered include: The research project focuses on developing quantization, pruning, and low-rank...
- The National Science Foundation (NSF) awarded a $225,000 Project Grant under the Mathematical and Physical Sciences (CFDA 47.049) program to The Leland Stanford Junior University. The 3-year grant, effective July 1, 2024, aims to gain a deeper theoretical understanding of the statistical properties of neural networks, which have revolutionized science and engineering. Key research directions include studying the distinguishing features of deep neural networks compared to classical statistical...
- The National Science Foundation Division of Mathematical Sciences awarded the University of California, Los Angeles $330,000 on January 15, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to develop randomized algorithms for operator learning in Sobolev spaces with application to parametric partial differential equations. The project addresses computational constraints in neural network-based operator learning by designing and analyzing randomized training algorithms...
- The National Science Foundation SBE Office of Multidisciplinary Activities awarded the University of California, San Diego $517,134 on August 15, 2026, under the Social, Behavioral, and Economic Sciences program (CFDA 47.075) to develop mathematical methods for comparing neural representations across individuals and between human brains and artificial neural networks. The project develops optimal-transport-based techniques to measure how brains are alike and differ when responding to stimuli...
- The National Science Foundation Division of Mathematical Sciences awarded the University of California, San Diego $149,999 on August 15, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to develop new mathematical theory for understanding concentration and phase-transition phenomena in random structures and combinatorial statistics. The project addresses fundamental gaps in understanding concentration in random graphs, related random structures, and statistical problems...
- The National Science Foundation Division of Computing and Communication Foundations awarded a $500,000 Project Grant to Princeton University from January 1, 2022 to December 31, 2024 to support collaborative research on probabilistic, geometric, and topological analysis of neural networks. This award falls under the Mathematical and Physical Sciences program (CFDA 47.049), which aims to strengthen the Nation's scientific enterprise through advancing knowledge and understanding of major problems....
- This National Science Foundation award provides $399,998 to the University of California, Los Angeles under the Mathematical and Physical Sciences program (CFDA 47.049) for the period of July 1, 2022 through June 30, 2025. The project will develop new algorithms and mathematical theory for multi-agent sequential deep learning using insights from ordinary and partial differential equations. Researchers will integrate advances in neural ordinary differential equations with graph networks to build...
The National Science Foundation Division of Mathematical Sciences awarded $249,999 to the University of California, San Diego on August 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to support research on the structure of the Jacobian in neural network training, with an award completion date of July 31, 2029. The project develops mathematical and computational frameworks for understanding neural network training without reliance on backpropagation, drawing on tools from applied mathematics, statistics, and signal processing. The research focuses on training dynamics in overparameterized neural models to improve computational efficiency and statistical performance, with particular applications in settings where data is scarce, measurements are noisy, or signal detection is the primary objective. The investigators will release open-source implementations of all developed algorithms and conduct outreach activities including undergraduate research opportunities, graduate recruitment and training, high school programming on computational mathematics and artificial intelligence, and a binational US-Israel workshop to build international research collaborations. Work is performed in La Jolla, California.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $250.0k | 7/23/26 |