3/4 discrete optimal transport

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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https://hal.archives-ouvertes.fr/hal-01823115
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Submitted on : Monday, June 25, 2018 - 5:30:38 PM
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  • HAL Id : hal-01823115, version 1

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Frédéric de Gournay, Jonas Kahn, Léo Lebrat. 3/4 discrete optimal transport. 2018. ⟨hal-01823115⟩

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