On semi-discrete sub-partitions of vector-valued measures

Shlomi Gover; Gershon Wolansky

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arXiv · 2007.03982

On semi-discrete sub-partitions of vector-valued measures

Shlomi Gover·Gershon Wolansky

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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.

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Shlomi Gover, Gershon Wolansky. 2020-07-08. On semi-discrete sub-partitions of vector-valued measures. https://arxiv.org/abs/2007.03982

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