12 citations · 21 across the 4 of their papers we have counts for
5 papers
Convex relaxation of discrete vector-valued optimization problems
Christian Clason, Carla Tameling, Benedikt Wirth
We consider a class of infinite-dimensional optimization problems in which a distributed vector-valued variable should pointwise almost everywhere take values from a given finite s…
Gromov-Wasserstein Distance based Object Matching: Asymptotic Inference
Christoph Alexander Weitkamp, Katharina Proksch, Carla Tameling +1
In this paper, we aim to provide a statistical theory for object matching based on the Gromov-Wasserstein distance. To this end, we model general objects as metric measure spaces.…
Empirical Regularized Optimal Transport: Statistical Theory and Applications
Marcel Klatt, Carla Tameling, Axel Munk
We derive limit distributions for certain empirical regularized optimal transport distances between probability distributions supported on a finite metric space and show consistenc…
Empirical optimal transport on countable metric spaces: Distributional limits and statistical applications
Carla Tameling, Max Sommerfeld, Axel Munk
We derive distributional limits for empirical transport distances between probability measures supported on countable sets. Our approach is based on sensitivity analysis of optimal…
Vector-valued multibang control of differential equations
Christian Clason, Carla Tameling, Benedikt Wirth
We consider a class of (ill-posed) optimal control problems in which a distributed vector-valued control is enforced to pointwise take values in a finite set $\mathcal{M}\subset\ma…