Wasserstein barycenters on metric graphs

Fuente: arXiv
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Autores principales: Bertrand, Jérôme, Ma, Jianyu
Formato: Preprint
Publicado: 2026
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author Bertrand, Jérôme
Ma, Jianyu
author_facet Bertrand, Jérôme
Ma, Jianyu
contents 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. One assumption removed in v2, the result is now optimal.
format Preprint
id arxiv_https___arxiv_org_abs_2604_17924
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Wasserstein barycenters on metric graphs
Bertrand, Jérôme
Ma, Jianyu
Metric Geometry
Optimization and Control
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. One assumption removed in v2, the result is now optimal.
title Wasserstein barycenters on metric graphs
topic Metric Geometry
Optimization and Control
url https://arxiv.org/abs/2604.17924