Calculus of Variations and Geometric Measure Theory

F. Fleißner

A note on the differentiability of the Hellinger-Kantorovich distances

created by fleißner on 15 Jul 2020
modified on 24 Jun 2025

[BibTeX]

Published Paper

Inserted: 15 jul 2020
Last Updated: 24 jun 2025

Journal: Applied Mathematics & Optimization
Volume: 87
Number: 37 (2023)
Year: 2020
Doi: https://doi.org/10.1007/s00245-022-09948-y

ArXiv: 2007.07225 PDF

Abstract:

This paper will deal with differentiability properties of the class of Hellinger-Kantorovich distances which was recently introduced on the space of finite nonnegative Radon measures.

Keywords: Optimal transport, Hellinger-Kantorovich distance