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Accession Number:
AD1197255
Title:
Extending Accelerated Optimization into the PDE Framework
Report Date:
2021-09-23
Abstract:
The primary goal is to extend momentum based methods (Heavy Ball, and Nesterov) from the finite dimensional framework into the infinite dimensional framework of gradient based optimization over the manifolds of functions, curves, surfaces, diffeomorphisms, and other distributed unknowns. This includes developing 1) a theory of PDE methods for accelerated gradient optimization 2) formulation of the specific PDE equations for the application of this theory in several optimization contexts 3) numerical methods for solving accelerated PDE systems 4) theoretical analysis of convergence rates and performance gains 5) development of efficient implementations amenable to parallel computing.
Document Type:
Conference:
Journal:
Pages:
9
File Size:
0.16MB
W911NF-18-1-0281
(W911NF1810281);
Contracts:
Grants:
Distribution Statement:
Approved For Public Release
