Wasserstein barycenters on metric graphs
Metric Geometry
2026-04-21 v1 Optimization and Control
Abstract
In this paper we provide conditions for a Wasserstein barycenter to be absolutely continuous with respect to its Hausdorff measure away from the vertices of the graph.
Cite
@article{arxiv.2604.17924,
title = {Wasserstein barycenters on metric graphs},
author = {Jérôme Bertrand and Jianyu Ma},
journal= {arXiv preprint arXiv:2604.17924},
year = {2026}
}
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