Accession Number:

AD1090239

Title:

Geometric Optimization and Combinatorial Homological Programming

Descriptive Note:

Technical Report,03 Apr 2018,03 Oct 2019

Corporate Author:

University of Pennsylvania Philadelphia United States

Personal Author(s):

Report Date:

2019-10-03

Pagination or Media Count:

21.0

Abstract:

New mathematical methods for distributed optimization and related problems were generated using concepts from algebraic topology and sheaf theory. In particular, the Hodge Laplacian was extended to sheaves of data in the context of distributed optimization, indoor mapping, network communications, and learning. The results greatly extend known results from spectral graph theory and simultaneous localization and mapping.

Subject Categories:

  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE