81 citations · 372 across the 27 of their papers we have counts for
4 papers · 1 filter
Formulation of branched transport as geometry optimization
Julius Lohmann, Bernhard Schmitzer, Benedikt Wirth
The branched transport problem, a popular recent variant of optimal transport, is a non-convex and non-smooth variational problem on Radon measures. The so-called urban planning pr…
Asymptotic analysis of domain decomposition for optimal transport
Mauro Bonafini, Ismael Medina, Bernhard Schmitzer
Large optimal transport problems can be approached via domain decomposition, i.e. by iteratively solving small partial problems independently and in parallel. Convergence to the gl…
Data-driven entropic spatially inhomogeneous evolutionary games
Mauro Bonafini, Massimo Fornasier, Bernhard Schmitzer
We introduce novel multi-agent interaction models of entropic spatially inhomogeneous evolutionary undisclosed games and their quasi-static limits. These evolutions vastly generali…
The Linearized Hellinger--Kantorovich Distance
Tianji Cai, Junyi Cheng, Bernhard Schmitzer +1
In this paper we study the local linearization of the Hellinger--Kantorovich distance via its Riemannian structure. We give explicit expressions for the logarithmic and exponential…