On semi-discrete sub-partitions of vector-valued measures
Optimization and Control
2020-07-14 v2
Abstract
We introduce a concept of optimal transport for vector-valued measures and its dual formulation. In this note we concentrate on the semi-discrete case and show some fundamental differences between the scalar and vector cases. A manifestation of this difference is the possibility of non-existence of optimal solution for the dual problem for feasible primer problems.
Keywords
Cite
@article{arxiv.2007.03982,
title = {On semi-discrete sub-partitions of vector-valued measures},
author = {Shlomi Gover and Gershon Wolansky},
journal= {arXiv preprint arXiv:2007.03982},
year = {2020}
}
Comments
9 pages