DURIP Computational mathematics of high-dimensional problems with applications in science, engineering, and artificial intelligence
Abstract
High-dimensional problems are at the core of a wide range of computational tasksin various scientific and engineering domains as well as artificial intelligence, machine learning,and computational statistics. Developing mathematical and computational foundations for numericallysolving high-dimensional problems is thus not just a mathematical endeavor but a pathwayto unlocking deeper insights and more efficient solutions across a spectrum of scientific and engineeringfields of relevance to the DoD mission. Advancements in computational mathematics havealways necessitated a blend of rigorous theoretical work and practical computational experimentation;however, in the context of high-dimensional problems, quick prototyping and computationalexperiments are often challenging because the required computing resources vastly surpass thoseencountered in classical, low-dimensional problems of computational science. We discuss howa new computing cluster with high-performance graphics processing units at the Courant Instituteof Mathematical Sciences will enable quick prototyping and high-risk, high-gain research thataddresses current mathematical and computational open questions of high-dimensional problems.The availability of more computing resources at Courant has the potential to accelerate foundationalmathematical and computational developments, enhance graduate education, and supportthe DoD mission by facilitating faster research turnaround times from basic research to DoD applications.
Document Details
- Document Type
- DoD Grant Award
- Publication Date
- Feb 24, 2025
- Source ID
- N000142512154
Entities
People
- Benjamin Peherstorfer
Organizations
- New York University
- Office of Naval Research
- United States Navy