Uniqueness of optimal solutions for semi-discrete transport with p-norm cost functions
Optimization and Control
2017-05-29 v1 Numerical Analysis
Abstract
Semi-discrete transport can be characterized in terms of real-valued shifts. Often, but not always, the solution to the shift-characterized problem partitions the continuous region. This paper gives examples of when partitioning fails, and offers a large class of semi-discrete transport problems where the shift-characterized solution is always a partition.
Keywords
Cite
@article{arxiv.1705.09383,
title = {Uniqueness of optimal solutions for semi-discrete transport with p-norm cost functions},
author = {J. D. Walsh},
journal= {arXiv preprint arXiv:1705.09383},
year = {2017}
}
Comments
7 pages, 5 figures. arXiv admin note: text overlap with arXiv:1702.03517