A note on the differentiability of the Hellinger-Kantorovich distances
Florentine Flei{\ss}ner
TL;DR
This paper investigates the differentiability properties of the recently introduced Hellinger-Kantorovich distances on the space of finite nonnegative Radon measures, providing insights into their mathematical structure.
Contribution
It offers new theoretical results on the differentiability of Hellinger-Kantorovich distances, enhancing understanding of their mathematical properties.
Findings
Established differentiability conditions for Hellinger-Kantorovich distances
Provided mathematical analysis of the distances' structure
Contributed to the theoretical foundation of measure distances
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.
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Taxonomy
TopicsAdvanced Differential Geometry Research · Point processes and geometric inequalities · Mathematical Analysis and Transform Methods