Browsing Fakultät für Mathematik und Informatik (inkl. GAUSS) by Advisor & Referee "Schmitzer, Bernhard Prof. Dr."
Now showing items 1-4 of 4
-
Domain decomposition for optimal transport and localized optimality conditions
(2024-12-19)Optimal transport (OT) is a fundamental tool in the study of the space of probability measures. Several algorithmic breakthroughs, such as the Sinkhorn algorithm, have allowed practicioners to solve the OT problem ... -
Adaptive numerical methods for optimal and branched transport problems
(2023-11-20)Optimal transport is an area of mathematical research that has been gaining popularity in recent years in various application fields such as economics, statistics or machine learning. Two important factors behind its ... -
A Wasserstein-like Distance on Vector Fields
(2023-10-06)We introduce a new distance on the space of vector fields over a Riemannian manifold that is motivated by the construction and properties of the Wasserstein distance. The construction relies on a particular metric on the ... -
Statistical and Structural Aspects of Unbalanced Optimal Transport Barycenters
(2022-10-20)Optimal transport (OT) has seen a stellar rise in interest and relevance in the past two decades. More recently, severe limitation of OT have started to surface. Two key factors prevent it from becoming a standard tool in ...