Yale University was awarded a $370,000 Project Grant from the National Science Foundation Division of Mathematical Sciences. The grant is part of the NSF's Mathematical and Physical Sciences program (CFDA 47.049), which aims to promote progress in these fields and strengthen the nation's scientific enterprise. Under this three-year award beginning July 2021, Yale researchers will conduct work related to overparameterization and the global convergence of the Expectation-Maximization algorithm....
Yale University was awarded a $299,993 project grant from the National Science Foundation Division of Mathematical Sciences on July 1, 2021 to develop measures of heterogeneity for complex data objects. The project directly supports the goals of the NSF's Mathematical and Physical Sciences program (CFDA 47.049) to promote progress in these fields and strengthen the nation's scientific enterprise through increased knowledge and understanding of major problems. Specifically, Yale researchers...
This $196,673 federal Project Grant award, funded by the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program, supports collaborative research at Yale University to develop a predictive framework for understanding how the physical microenvironment influences 3D genome organization and gene expression. The project will integrate super-resolution microscopy, genomics, biophysical modeling, and machine learning to decode the relationship between the...
This federal Project Grant award from the National Science Foundation's (NSF) Computer and Information Science and Engineering (CISE) program (CFDA 47.070) provides $631,953 to Yale University to develop a general foundation model framework for graph-structured data in scientific discovery. The researchers will address key limitations in existing graph foundation models by incorporating novel approaches such as multi-level graph neural networks, graph signal processing, multimodal graph...
The National Science Foundation (NSF) Division of Mathematical Sciences awarded a $250,000 Project Grant to Yale University from September 1, 2023 to August 31, 2026 under the Mathematical and Physical Sciences program (CFDA 47.049). The grant supports the development of a new perturbation theory to improve statistical analysis of large data matrices, particularly those with low-rank structure and random noise. Key anticipated outcomes include optimal error bounds for matrix parameters like...
The National Science Foundation (NSF) Division of Mathematical Sciences awarded Yale University a $159,979 Project Grant under the Mathematical and Physical Sciences program (CFDA 47.049) to advance robust machine learning methods for classifying data and quantifying prediction uncertainty in complex, non-IID settings. The project aims to develop innovative classification strategies that exhibit improved worst-group performance across latent sub-populations and enhanced fairness. These...
The National Science Foundation (NSF) Division of Mathematical Sciences awarded a $250,000 Project Grant to the University of Pittsburgh to conduct mathematical analyses of multidimensional single cell transcriptional vector fields. The 3-year grant, titled "EMB: Mathematical Analyses of Multidimensional Single Cell Transcriptional Vector Fields," aims to develop data-driven mathematical models describing how genes coordinately regulate the development of different cell types, such...
The National Science Foundation (NSF) awarded a $419,962 Project Grant under the Mathematical and Physical Sciences (CFDA 47.049) program to the University of North Carolina at Chapel Hill (UNC-CH), effective August 1, 2024 through July 31, 2027. The funding will support the development and analysis of algorithms to uncover low-dimensional intrinsic data structures within Wasserstein space, a mathematical framework for representing and analyzing distributional or point-cloud datasets. The...
Yale University was awarded a $132,424 Project Grant from the National Science Foundation to support research titled "Geometric Flows and Applications" from July 1, 2021 to August 31, 2023. The grant was awarded under the NSF's Mathematical and Physical Sciences program (CFDA 47.049), which aims to promote progress in these fields and strengthen the nation's scientific enterprise. Yale will utilize the funding over the two-year period to conduct research exploring geometric flows and...
This Project Grant award from the National Science Foundation's (NSF) Division of Mathematical Sciences (CFDA 47.049 - Mathematical and Physical Sciences) supports research to develop novel mathematical models and efficient algorithms for deep learning on large-scale graph-structured data. The $249,999 award, spanning September 2024 to August 2027, aims to produce innovations in areas like graph convolutional networks, graph matching, and graph clustering. The research will involve graduate...