7 citations · 10 across the 5 of their papers we have counts for
5 papers
Geometric flows of branched transportation networks
Julius Lohmann, Yoshihiro Tonegawa
The branched transport problem is a nonconvex and nonsmooth variational optimization problem on normal -currents in with prescribed boundary. The optimality is wi…
Sparsity for dynamic inverse problems on Wasserstein curves with bounded variation
Marcello Carioni, Julius Lohmann
We investigate a dynamic inverse problem using a regularization which implements the so-called Wasserstein- distance. It naturally extends well-known static problems such as las…
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…
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…
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…