The University of Florida was awarded a $125,701 Project Grant from the National Science Foundation Division of Mathematical Sciences under the Mathematical and Physical Sciences federal grant program (CFDA 47.049). The grant will support the development of a mathematical foundation for novel artificial intelligence learning algorithms with applications to biology and engineering. Specifically, researchers will establish a theoretical framework for the minimax optimization of machine learning...
The University of Maryland, College Park received a $300,000 Project Grant award from the National Science Foundation Division of Mathematical Sciences under the Mathematical and Physical Sciences federal grant program (CFDA 47.049). The award will fund research into free boundary problems for aggregation phenomena and partial differential equations from August 1, 2023 through July 31, 2026. Specifically, the university will study relationships between local interactions and collective motion in...
The National Science Foundation (NSF) Division of Mathematical Sciences awarded a $107,860 Project Grant to the Regents of the University of Minnesota, Office of Sponsored Projects Administration, a non-profit 1862 land grant college, to conduct research under the NSF Mathematical and Physical Sciences program (CFDA 47.049). The research project will develop theoretical foundations for using machine learning methods to solve high-dimensional partial differential equations, emphasizing predictive...
This $400,000 federal Project Grant award from the National Science Foundation (NSF) Computer and Information Science and Engineering (CISE) program (CFDA 47.070) supports research to develop a principled and unified mathematical framework for deep learning on low-dimensional data structures. The project aims to bridge the gap between theory and practice of deep learning by designing "white-box" deep neural networks using unrolled optimization schemes to maximize information gain in...
This three-year, $600,000 project grant from the National Science Foundation's Computer and Information Science and Engineering program aims to advance understanding of convolutional neural networks. Specifically, the University of Maryland, College Park will investigate how multiscale representations and shift invariance affect the dynamics of neural network training. Researchers will analyze kernel properties of overparameterized networks to illuminate relationships between architecture and...
This three-year $300,000 project grant from the National Science Foundation's Computer and Information Science and Engineering program aims to advance understanding of robustness in machine learning models. Specifically, the University of Maryland, College Park will research conditions under which adversarial attacks on deep networks can be detected and original data reconstructed. It will also study fundamental limits of robustness guarantees against poisoning attacks, especially with a...
The University of Maryland, College Park was awarded a $497,194 Project Grant from the National Science Foundation under the Computer and Information Science and Engineering program (CFDA 47.070). The grant will support the development of neural network-based solvers for integral equations in light transport from October 1, 2021 to September 30, 2024. As part of this award, the University will conduct investigator-initiated research to advance the use of computational tools for modeling light...
The National Science Foundation Division of Mathematical Sciences awarded $480,525 under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program to support a Summer Undergraduate Research Experience (REU) in mathematical sciences at the University of Maryland - College Park from March 1, 2022 to February 28, 2025. Through this project, the University of Maryland - College Park will provide research experience and professional development to 12 undergraduate students each...
This Project Grant award, provided by the National Science Foundation (NSF) under the Computer and Information Science and Engineering (CFDA 47.070) program, aims to explore a new mathematical lens for understanding machine learning through combinatorics, optimization, and graph theory. The $599,963 award to the University of Southern California will fund research to address fundamental questions in machine learning, such as optimal learning algorithms and the characteristics of learnable...
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...