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

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arxiv 2007.03982 v2 pith:4AJJ75ZU submitted 2020-07-08 math.OC

Shlomi Gover , Gershon Wolansky This is my paper · ORCID
classification math.OC
keywords dualmeasuresoptimalsemi-discretevector-valuedcasecasesconcentrate
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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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  1. On a problem of optimal mixing

    math.PR 2024-11 reject novelty 5.0 of 10

    For simultaneous optimal transport, the paper proves existence, characterizes discrete optimal mixing points, and claims Monge and Kantorovich solutions coincide when density ratios are simple functions, but that clai...

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