The Trustees of Columbia University in the City of New York (Columbia University) was awarded a $394,840 Project Grant from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049). The grant will fund research into advancing the mathematical and algorithmic development of nonlocal models involving finite-range nonlocal interactions through July 2026. Specifically, Columbia University will focus on analytical and algorithmic solutions for nonlocal problems...
Columbia University was awarded a $120,929 project grant from the National Science Foundation Division of Mathematical Sciences under the Mathematical and Physical Sciences program (CFDA 47.049). The grant will fund collaborative research on statistical inference methods for high-dimensional spatial-temporal process models from July 1, 2021 to June 30, 2024. As part of the Mathematical and Physical Sciences program's goal of advancing scientific knowledge and understanding of national...
The Trustees of Columbia University in the City of New York received a $283,044 Project Grant award from the National Science Foundation Division of Mathematical Sciences on July 1, 2021 to complete work by June 30, 2024. The grant supports modeling of financial catastrophe and COVID-19 super spreader events under the Mathematical and Physical Sciences program (CFDA 47.049). This program aims to advance mathematical and physical sciences knowledge and understanding of major national...
The Trustees of Columbia University in New York City will receive $199,970 under a three-year Project Grant from the National Science Foundation Division of Mathematical Sciences. The grant will support collaborative research on algebraic K-theory, arithmetic, and equivariant stable homotopy theory from August 1, 2021 to July 31, 2024. This award falls under the NSF's Mathematical and Physical Sciences program (CFDA 47.049), which aims to advance scientific knowledge and understanding in these...
Columbia University has been awarded a three-year $300,000 Project Grant from the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049) to develop nonparametric testing methods for multivariate and Hilbert space-valued data. Specifically, the university will create a distribution-free statistical inference framework for multivariate data that generalizes univariate rank-based methods. Researchers will also study the asymptotic relative efficiency of nonparametric...
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...
The National Science Foundation Division of Mathematical Sciences awarded Columbia University a $170,000 Project Grant under the Mathematical and Physical Sciences federal grant program (CFDA 47.049) for work on "MEAN-FIELD MODELS IN STATISTICS" from July 1, 2021 to June 30, 2024. The grant aims to promote progress in the mathematical and physical sciences by increasing scientific knowledge and enhancing understanding of major problems through Columbia University's work on mean-field...
This Project Grant award for $117,910 from the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049) aims to develop new statistical estimation methods and algorithms that can efficiently process complex, high-dimensional datasets. The research will focus on three key areas: (1) providing rigorous theoretical guarantees for the performance of high-dimensional statistical estimation techniques, (2) establishing computational limits and efficiencies for modern...
This three-year, $260,000 Project Grant from the National Science Foundation's Division of Mathematical Sciences, under the Mathematical and Physical Sciences program (CFDA 47.049), will fund research towards designing optimal statistical learning procedures through precise medium-dimensional asymptotic analysis. The grantee, Columbia University, will develop a novel analytical framework to quantitatively characterize the performance of diverse learning algorithms and provide guidance on...
This three-year, $359,998 Project Grant from the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049) will fund the development of statistical and computational tools for analyzing high-dimensional heterogeneous data. Specifically, the awardee, Columbia University, will create new methodologies for clustering and identifying latent structures in complex data involving multiple attributes and relationships. The research has three parts. The first will develop...