81 citations · 372 across the 27 of their papers we have counts for
4 papers · 1 filter
Sliced Optimal Partial Transport
Yikun Bai, Berhnard Schmitzer, Mathew Thorpe +1
Optimal transport (OT) has become exceedingly popular in machine learning, data science, and computer vision. The core assumption in the OT problem is the equal total amount of mas…
Hellinger-Kantorovich barycenter between Dirac measures
Mauro Bonafini, Olga Minevich, Bernhard Schmitzer
The Hellinger-Kantorovich (HK) distance is an unbalanced extension of the Wasserstein-2 distance. It was shown recently that the HK barycenter exhibits a much more complex behaviou…
Duality in branched transport and urban planning
Julius Lohmann, Bernhard Schmitzer, Benedikt Wirth
In recent work arXiv:2109.07820 we have shown the equivalence of the widely used nonconvex (generalized) branched transport problem with a shape optimization problem of a street or…
Entropic transfer operators
Oliver Junge, Daniel Matthes, Bernhard Schmitzer
We propose a new concept for the regularization and discretization of transfer and Koopman operators in dynamical systems. Our approach is based on the entropically regularized opt…