The National Science Foundation (NSF) Division of Mathematical Sciences has awarded a $300,000 Project Grant to Cornell University to support research on stochastic models and their properties. The key objectives of this 3-year grant, which runs from July 15, 2023 to June 30, 2026, are to: Develop novel methodologies to characterize different types of orbits exhibited by Markov semigroups on Hilbert spaces, providing a comprehensive understanding of these structures. Utilize the classification...
The National Science Foundation (NSF) awarded a $395,910 Project Grant to the Massachusetts Institute of Technology (MIT) under the Mathematical and Physical Sciences (MPS) program (CFDA 47.049) to fund research on statistical and computational thresholds in spin glasses and graph inference problems. The 3-year project, which will run from September 1, 2024 to August 31, 2027, aims to develop new methods for analyzing long-range dependencies and characterizing the typical behaviors of large...
This $293,784 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program supports fundamental and applied research on fluctuating systems, random environments, and stochastic algorithms. The research aims to improve understanding and exploitation of randomness across diverse settings, including materials science, fluid dynamics, and machine learning. Key areas of focus include stochastic homogenization, stochastic partial...
This $202,091 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program supports research on interacting particle systems and related models in statistical mechanics. The primary awardee, Barnard College, will conduct studies focused on three main directions: the analysis of log-gases, investigations of the Kardar-Parisi-Zhang equation, and the examination of traffic models. The research aims to achieve a better understanding of the...
This National Science Foundation (NSF) Project Grant award under the Mathematical and Physical Sciences program (CFDA 47.049) will fund research at Carnegie Mellon University (CMU) on mean-field and singular limits of deterministic and stochastic interacting particle systems. The $187,382 award, with a performance period from July 1, 2023 to May 31, 2025, aims to achieve a substantial reduction in computational complexity for modeling the behavior of large numbers of interacting particles,...
This National Science Foundation (NSF) Division of Mathematical Sciences Project Grant, titled "COLLABORATIVE RESEARCH: LEARNING AND FORECASTING HIGH-DIMENSIONAL EXTREMES: SPARSITY, CAUSALITY, PRIVACY," aims to develop new statistical methods for forecasting extreme events and assessing their impacts. The $200,000 award to Cornell University, valid from August 15, 2023 to July 31, 2026, seeks to address challenges in analyzing high-dimensional, contaminated data to extract key features...
This Project Grant award of $175,000 from the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program supports research to enhance the reliability of data analysis in modern, large-scale datasets, particularly in the era of artificial intelligence. The project develops new statistical and computational methods to address fundamental challenges related to robustness, adaptivity, and structure in modern algorithms and statistical procedures. The research...
This Project Grant from the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049) provides $193,202 to Columbia University from August 15, 2022 through July 31, 2025. The funding will support research investigating long-time behavior and large population limits of stochastic processes with random times. Specifically, the university will develop mathematical and computational tools to analyze complex interacting systems, with a focus on stochastic models involving...
This Project Grant award from the National Science Foundation (CFDA 47.049 - Mathematical and Physical Sciences) provides $300,000 in funding to the Massachusetts Institute of Technology (MIT) from July 1, 2025 to June 30, 2028. The goal of this project is to conduct large-scale analysis of probabilistic systems known as dimer models, which serve as mathematical models for phase transitions observed in nature. The research will focus on analyzing the limiting behavior and fluctuations of...
This Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences Program (CFDA 47.049) provides $240,000 to The Trustees of Columbia University in the City of New York over a 3-year period starting July 1, 2025. The project aims to develop a deeper understanding of mean-field models, which are critical for approximating complex statistical models in the era of big data. The research will examine the validity of naive mean-field variational inference...