51 citations · 191 across the 30 of their papers we have counts for
4 papers · 1 filter
Variational time discretization of Riemannian splines
Behrend Heeren, Martin Rumpf, Benedikt Wirth
We investigate a generalization of cubic splines to Riemannian manifolds. Spline curves are defined as minimizers of the spline energy - a combination of the Riemannian path energy…
A Sinkhorn-Newton method for entropic optimal transport
Christoph Brauer, Christian Clason, Dirk Lorenz +1
We consider the entropic regularization of discretized optimal transport and propose to solve its optimality conditions via a logarithmic Newton iteration. We show a quadratic conv…
Dynamic Models of Wasserstein-1-Type Unbalanced Transport
Bernhard Schmitzer, Benedikt Wirth
We consider a class of convex optimization problems modelling temporal mass transport and mass change between two given mass distributions (the so-called dynamic formulation of unb…
General transport problems with branched minimizers as functionals of 1-currents with prescribed boundary
Alessio Brancolini, Benedikt Wirth
A prominent model for transportation networks is branched transport, which seeks the optimal transportation scheme to move material from a given initial to a final distribution. Th…