This $275,000 federal Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program will support collaborative research to develop new statistical approaches for comparing and aligning networks. The research will focus on investigating optimal transport-based distances for Markov embeddings of networks, developing new methods for network alignment and comparison, and establishing theoretical results about these approaches. The...
This $300,000 Project Grant from the National Science Foundation Division of Mathematical Sciences under the Mathematical and Physical Sciences program (CFDA 47.049) will fund research into spectral methods for single and multiple graph inference networks. The grantee, North Carolina State University, will develop efficient parameter estimation methods for latent position graphs and valid two-sample testing procedures for comparing latent position graphs while ignoring irrelevant features. The...
The National Science Foundation (NSF) Division of Mathematical Sciences awarded a $250,000 Project Grant to the University of Central Florida (UCF) under the Mathematical and Physical Sciences program (CFDA 47.049). The three-year grant, effective August 1, 2023 through July 31, 2026, supports research to develop extensions and analytical techniques for Generalized Dot Product Graph (GDPG) network models, with a focus on applications in brain science, medical research, molecular biology,...
This Project Grant award from the National Science Foundation (NSF) under the Mathematical and Physical Sciences program (CFDA 47.049) provides funding of $238,061 to the University of Delaware from August 15, 2024 to July 31, 2027. The award supports the Principal Investigator's research to develop a systematic mathematical approach for analyzing and visualizing large complex networks, such as social networks, biological networks, and neural cell networks. The key research objectives include...
The National Science Foundation Division of Mathematical Sciences awarded The University of North Carolina at Charlotte a $180,000 Project Grant under the Mathematical and Physical Sciences federal grant program (CFDA 47.049). The three-year award will support research using set-theoretic methods in topology and topological dynamics, providing opportunities for graduate student research training. Specifically, the university will explore the topological consequences of principles related to...
The National Science Foundation Division of Mathematical Sciences awarded $249,814 under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program to the Research Foundation of the City University of New York to analyze random structures and stochastic dynamics arising across scientific disciplines. The three-year project grant will support theoretical and empirical analysis of spatial and non-spatial random graph models, stochastic processes on graphs, and network-based...
This $350,000 National Science Foundation project grant supports statistical modeling research for complex networks at the University of Michigan from September 2022 through August 2025. Funded through the NSF's Mathematical and Physical Sciences program (CFDA 47.049), the award aims to develop new statistical methodologies and theory to incorporate higher-order structures into network modeling. Specifically, the investigators will study leveraging subgraphs and other higher-order structures...
This $113,834 Project Grant award from the National Science Foundation (NSF) Computer and Information Science and Engineering (CISE) program (CFDA 47.070) supports research to develop efficient algorithms for optimal transport in geometric settings. The project aims to advance the theoretical underpinnings of optimal transport and bridge the gap between theory and practice of optimal transport algorithms. The research will focus on designing combinatorial algorithms that can efficiently...
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 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program provides $300,000 over a 3-year period from August 2024 to July 2027 to the Regents of the University of Michigan to conduct research on the mathematical and computational modeling of networked systems. The key research areas include: 1) Creating accurate mathematical models of network structures to enable realistic simulations using limited data; 2) Developing...
This Project Grant award from the National Science Foundation's (NSF) Division of Mathematical Sciences under the Federal Grant Program "Mathematical and Physical Sciences" (CFDA 47.049) provides $149,999 to the University of North Carolina at Charlotte to support collaborative research on network analysis. The primary objectives of the research project are to: 1) investigate optimal transport-based distances for Markov embeddings of networks, 2) develop new methods for network alignment and comparison, and 3) apply these methods to address problems in computational neuroscience, systems biology, and urban planning. The three-year project aims to advance the state of network analysis by providing new statistical methods and theoretical support. The research will bring together expertise in Markov chains and optimal transport to develop efficient, scalable algorithms for analyzing network data across multiple scientific domains.