Optimal transport with some directed distances
type: Item
instance of: scholarly article
title: Optimal transport with some directed distances
zbMATH Open document ID: 1490.49034
DOI: 10.1007/978-3-030-80209-7_89
author: W. Stummer
publication date: 2022-03-22T00:00:00Z
full work available at URL: https://arxiv.org/abs/2105.05989
review text: In a previous joint paper, the author and Broniatowski introduced a concept of direct distances (also called divergences) between two arbitrary functions, so widening the class of the so-called scaled Bregman distances (divergences). In the present paper the author applies the new concept of direct distances to the case of quantile functions. Next he considers and solves some new optimal transport problems were the cost functions are pointwise such distances. For the entire collection see [Zbl 1482.94007].
Mathematics Subject Classification ID: 49Q22
zbMATH DE Number: 7495284
zbMATH Keywords: scaled Bregman divergences
zbMATH Keywords: \(\phi\)-divergences
zbMATH Keywords: mass transport
MaRDI profile type: Publication
OpenAlex ID: W3160936086
arXiv ID: 2105.05989
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description: scientific article