This $100,000 three-year Project Grant from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) will support research to advance numerical methods for large-scale inverse problems, sparse principal component analysis, and their applications. The awardee, Emory University, will collaborate with other institutions to develop novel approaches merging inverse problems, randomized numerical linear algebra, and sparse principal component analysis. This will...
This $275,000 Project Grant awarded by the National Science Foundation's (NSF) Division of Mathematical Sciences supports the development of novel approaches to solving inverse problems. The goal is to enhance the accuracy and efficiency of computational methods used in critical applications like electrical impedance tomography, inverse scattering, and cryo-electron microscopy. This research has the potential to accelerate breakthroughs in molecular biology and rapid drug development, directly...
This Project Grant award of $325,000.00 was provided by the National Science Foundation's (NSF) Division of Mathematical Sciences under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program. The award supports collaborative research by a team at Emory University to develop acceleration and preconditioning methods for improving the training of large artificial intelligence (AI) models. The research aims to leverage numerical analysis and linear algebra techniques to...
This three-year $100,000 Project Grant from the National Science Foundation Division of Mathematical Sciences under the Mathematical and Physical Sciences program (CFDA 47.049) will support the development of novel computational methods for large-scale inverse problems, randomized numerical linear algebra, and sparse principal component analysis at Arizona State University. The grant will advance efficient tools for solving large-scale inverse problems in scientific applications experiencing...
This NSF-funded project grant under the Mathematical and Physical Sciences (CFDA 47.049) program aims to advance the fields of geometric machine learning and numerical partial differential equations (PDEs). The $121,190 award to Emory University, spanning from August 2024 to July 2027, will focus on improving the scalability of graph neural network (GNN) algorithms to handle large datasets and accelerating numerical PDE simulations using GNN components. The research team will develop...
This $300,000 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports fundamental research on inverse boundary value problems and related mathematical techniques. The key research areas include: Electrical impedance tomography (EIT) for determining the conductivity of materials by making voltage and current measurements at the boundary. The research will address challenges in EIT such as partial data, anisotropic...
This $160,000 National Science Foundation project grant supports research at Emory University to develop mathematical tools for reconstructing spacetime structure in cosmology and Lorentzian geometry from May 2022 to April 2025. Specifically, the investigator will advance techniques to recover astrophysical phenomena such as gravitational waves, black holes, and cosmic strings from observational data like the cosmic microwave background. The research encompasses integral geometry, partial...
The National Science Foundation Division of Mathematical Sciences awarded $200,000 under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program to Emory University for a collaborative research project between Emory University and the University of Minnesota. The award period is from September 1, 2022 through August 31, 2025. The project aims to develop and study theoretically robust acceleration algorithms with an emphasis on problems stemming from data-related...
This $194,972 Project Grant award from the National Science Foundation's Mathematical and Physical Sciences (CFDA 47.049) program supports research at Emory University focused on addressing open problems in discrete geometry. The central aims are to study the covering and intersection properties of convex geometric objects and explore connections between discrete geometry and other mathematical fields. Key planned activities include mentoring undergraduate students, developing new mathematical...
This Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences Program (CFDA 47.049) will support research at Case Western Reserve University (CWRU) to advance hierarchical Bayesian methods for inverse problem-solving. The $349,880 award, effective July 1, 2025 through June 30, 2028, will fund the development of fast and robust computational algorithms leveraging data science techniques and sparse coding to address large-scale inverse problems across...
The National Science Foundation awarded Emory University a $346,631 Project Grant under the Mathematical and Physical Sciences program (CFDA 47.049) to develop methods for mixed precision arithmetic for solving large-scale ill-posed inverse problems. The University will focus on exploiting graphics processing units' mixed precision computing capabilities to efficiently compute approximate solutions to computationally intensive inverse problems. Key products include flexible computational platforms and tools to obtain solutions for applications in astronomy, cosmology, geophysics, machine learning, microscopy, and medical imaging where large-scale regularization is required. Students and postdocs will receive training. The work aims to have broad scientific impact and enable faster computations for scientific applications requiring high accuracy. The three-year award runs from July 1, 2022 to June 30, 2025.