A note on the differentiability of the Hellinger-Kantorovich distances

DOI10.1007/S00245-022-09948-YOpenAlexW3042883677MaRDI QIDQ2694465

Florentine Catharina Fleißner

Publication date: 3 April 2023

Published in: Applied Mathematics and Optimization (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.07225

Mathematics Subject Classification ID

Manifolds and measure-geometric topics (49Qxx)

Cites Work

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• The geometry of optimal transportation
• A new optimal transport distance on the space of finite Radon measures
• Optimal entropy-transport problems and a new Hellinger-Kantorovich distance between positive measures
• An interpolating distance between optimal transport and Fisher-Rao metrics
• Unbalanced optimal transport: dynamic and Kantorovich formulations
• Optimal Transport in Competition with Reaction: The Hellinger--Kantorovich Distance and Geodesic Curves
• A minimizing Movement approach to a class of scalar reaction–diffusion equations

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