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3/4-discrete optimal transport

Published 25 Jun 2018 in math.NA | (1806.09537v1)

Abstract: This paper deals with the 3/4-discrete 2-Wasserstein optimal transport between two measures, where one is supported by a set of segment and the other one is supported by a set of Dirac masses. We select the most suitable optimization procedure that computes the optimal transport and provide numerical examples of approximation of cloud data by segments.

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