81 citations · 372 across the 27 of their papers we have counts for
19 papers · 1 filter
Domain decomposition for entropic unbalanced optimal transport
Ismael Medina, The Sang Nguyen, Bernhard Schmitzer
Solving large scale entropic optimal transport problems with the Sinkhorn algorithm remains challenging, and domain decomposition has been shown to be an efficient strategy for pro…
Formulas for the -mass on -currents with coefficients in
Julius Lohmann, Bernhard Schmitzer, Benedikt Wirth
We consider the minimization of the -mass over normal -currents in with coefficients in and prescribed boundary. This optimization is known as m…
A Bayesian model for dynamic mass reconstruction from PET listmode data
Marco Mauritz, Bernhard Schmitzer, Benedikt Wirth
Positron emission tomography (PET) is a classical imaging technique to reconstruct the mass distribution of a radioactive material. If the mass distribution is static, this essenti…
Linearized optimal transport on manifolds
Clément Sarrazin, Bernhard Schmitzer
Optimal transport is a geometrically intuitive, robust and flexible metric for sample comparison in data analysis and machine learning. Its formal Riemannian structure allows for a…
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…