The National Science Foundation (NSF) Division of Mathematical Sciences awarded a $184,593 project grant to Lafayette College in Easton, Pennsylvania. The grant, under the NSF's Mathematical and Physical Sciences program (CFDA 47.049), will fund collaborative research to develop theoretical tools and efficient numerical methods for solving the optimal transport problem. This mathematical problem seeks to minimize the total cost of transporting mass from one location to another, with applications...
This National Science Foundation Project Grant of $315,519 supports research at the University of California, Los Angeles from July 2022 to June 2025 under the Mathematical and Physical Sciences program (CFDA 47.049). The award funds research investigating challenging problems in optimal transport theory and its applications in fields including partial differential equations, geometry, probability, and machine learning. Key areas of focus include developing the theory to analyze games with large...
The National Science Foundation (NSF) Division of Mathematical Sciences awarded a $600,000 Project Grant to Carnegie Mellon University (CMU) under the Mathematical and Physical Sciences program (CFDA 47.049). The grant supports a 3-year research project focused on developing rigorous statistical methods for Optimal Transport, a mathematical technique used to combine data from different scientific domains and mitigate unintended biases in algorithms. The project has three main thrusts: 1)...
This National Science Foundation Project Grant of $229,021 awarded on August 1, 2022 will support research at the University of Texas at Austin to develop mathematical frameworks in optimal transport applications to probability, machine learning, and kinetic theory through July 31, 2025. Under the Mathematical and Physical Sciences program (CFDA 47.049), the investigator will advance understanding of stochastic modeling, artificial intelligence algorithms, and kinetic theory by exploiting...
The National Science Foundation awarded a $239,999 Project Grant under the Mathematical and Physical Sciences program (CFDA 47.049) to the Georgia Tech Research Corporation from September 15, 2022 to August 31, 2025. The grant funds research to develop mathematical theories and efficient algorithms for multi-marginal optimal transport problems with graphical costs. Specifically, the principal investigator will establish a unified framework for these problems by merging concepts from optimal...
The National Science Foundation (NSF) awarded a Project Grant under the Computer and Information Science and Engineering (CFDA 47.070) federal grant program to North Carolina State University (NC State) in the amount of $113,834. The grant, titled "COLLABORATIVE RESEARCH: AF: SMALL: EFFICIENT ALGORITHMS FOR OPTIMAL TRANSPORT IN GEOMETRIC SETTINGS," aims to advance the theoretical underpinnings and develop simple, scalable algorithms for computing high-quality optimal transport plans of...
This Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program will provide $160,000 to Cornell University from July 1, 2024 to June 30, 2027 to advance statistical optimal transport theory and its applications. The research project aims to develop new computational and statistical methods for optimal transport, and apply them to various data analysis tasks like clustering, generative modeling, and dimension reduction for...
This Project Grant from the National Science Foundation's Division of Mathematical Sciences, under the Mathematical and Physical Sciences program (CFDA 47.049), provides $230,826 to Michigan State University for research on nonlocal reaction-diffusion equations and Wasserstein gradient flows from August 1, 2022 to July 31, 2025. The research focuses on qualitative properties of solutions to nonlocal reaction-diffusion equations arising in biology and ecology; development and convergence analysis...
This three-year, $631,860 project grant from the National Science Foundation's Division of Computing and Communication Foundations, under the Computer and Information Science and Engineering program, will support the development of efficient algorithms for optimal transport in geometric settings. The researchers at Duke University will advance theoretical understanding of optimal transport and bridge gaps between theory and practice of algorithm development. They will exploit combinatorial,...
This $268,602 federal Project Grant award from the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049) supports an interdisciplinary research project led by the Regents of the University of Michigan. The research aims to develop new mathematical tools based on partial differential equations (PDEs) and apply them to address practical challenges in mathematical finance and game theory. Key focus areas include: 1) using infinite-dimensional PDEs to demonstrate...