This $458,373 five-year CAREER grant awarded by the National Science Foundation's (NSF) Engineering program (CFDA 47.041) supports research at the University of California, San Diego (UCSD) to advance the interplay between convex and nonconvex optimization for modern control systems. The project aims to develop innovative frameworks, theoretical guarantees, and scalable algorithms that bridge convex and nonconvex optimization to enable reliable and efficient control of complex systems like...
This $300,000 National Science Foundation project grant supports research into distributed optimization-based control of large-scale nonlinear systems with uncertainties from 2022-2025. Funded under the NSF Engineering program (CFDA 47.041), the award to the University of California, San Diego will advance mathematical foundations for distributed optimization algorithms robust to uncertainties. Researchers will design tracking controllers for local systems to follow optimization-derived...
This National Science Foundation project grant of $362,015 supports research into developing more fine-grained algorithms under the Computer and Information Science and Engineering program. The University of California, San Diego will conduct this research from November 2021 to January 2023. Specifically, the awardee will build a unified theory of designing fast approximation algorithms and study their fine-grained computational hardness. They will develop systematic techniques emphasizing...
The National Science Foundation awarded a $978,870 Project Grant to the University of California, San Diego under the Engineering (47.041) federal grant program. The grant funds research titled "CAREER: GOAL-ORIENTED VARIABLE TRANSFORMATIONS FOR EFFICIENT REDUCED-ORDER AND DATA-DRIVEN MODELING" from May 1, 2022 to April 30, 2027. The research aims to develop new reduced-order and data-driven modeling techniques through goal-oriented variable transformations to enable more efficient...
This $299,889 federal Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program supports research at the University of California, San Diego (UCSD) to develop algorithms for compressing and improving the efficiency of large neural networks used in modern artificial intelligence applications. The key products and services to be delivered include: The research project focuses on developing quantization, pruning, and low-rank...
This Project Grant from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) provides $227,139 to the University of California, Davis for research related to solving systems of linear inequalities with parameters and developing efficient algorithms for constrained interpolation by smooth functions. Over a three-year period from July 1, 2023 through June 30, 2026, the University will work to develop smooth solutions to systems of linear inequalities and...
The National Science Foundation awarded a $359,147 Project Grant to the University of California, San Diego under the Engineering federal grant program (CFDA 47.041) for the period of January 1, 2022 through December 31, 2024. The grant funds collaborative research on nonlinear balancing involving reduced models and control. Specifically, the University of California, San Diego will work to develop simplified mathematical models and control strategies to optimize complex nonlinear systems,...
The National Science Foundation (NSF) Division of Mathematical Sciences awarded a $360,935 Project Grant to the University of California, San Diego (UCSD) under the Mathematical and Physical Sciences program (CFDA 47.049). The grant supports the development of accurate and efficient numerical methods for optimal chip layout and sensitivity analysis tools to improve the design and manufacturing of high-performance, power-efficient microprocessors. The project leverages the hierarchical and...
This National Science Foundation Project Grant award of $251,813 provides funding over three years from September 2023 through August 2026 to support research in combinatorial geometry and Ramsey theory at the University of California, San Diego under the Mathematical and Physical Sciences program (CFDA 47.049). The award will further the foundation's mission to advance the mathematical sciences and strengthen the nation's scientific enterprise. Specifically, the funding will allow the principal...
The National Science Foundation awarded a $346,983 Project Grant to the University of Connecticut (UConn) under the NSF's Engineering program (CFDA 47.041) to develop scalable deterministic global optimization (DGO) algorithms and open-source software. The project aims to enable the solution of higher complexity models involving nonlinear equations by exploiting parallel computing architectures like graphical processing units (GPUs). The research will generate methods for automatically...