3/4-discrete optimal transport
arXiv:1806.095371 citationsh-index: 17
Originality Synthesis-oriented
AI Analysis
It addresses a specific optimal transport problem for applications like data approximation, but the contribution is incremental.
The paper develops an optimization procedure for 3/4-discrete 2-Wasserstein optimal transport between a segment-supported measure and a Dirac-supported measure, with numerical examples showing approximation of cloud data by segments.
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.