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arxiv: 1806.09537 · v1 · pith:DMYNXKESnew · submitted 2018-06-25 · 🧮 math.NA

3/4-discrete optimal transport

classification 🧮 math.NA
keywords optimaltransportdiscretesupportedapproximationcloudcomputesdata
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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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