3 citations · 3 across the 4 of their papers we have counts for
4 papers
Empirical Optimal Transport under Estimated Costs: Distributional Limits and Statistical Applications
Shayan Hundrieser, Gilles Mordant, Christoph Alexander Weitkamp +1
Optimal transport (OT) based data analysis is often faced with the issue that the underlying cost function is (partially) unknown. This paper is concerned with the derivation of di…
From Small Scales to Large Scales: Distance-to-Measure Density based Geometric Analysis of Complex Data
Katharina Proksch, Christoph Alexander Weitkamp, Thomas Staudt +2
How can we tell complex point clouds with different small scale characteristics apart, while disregarding global features? Can we find a suitable transformation of such data in a w…
The ultrametric Gromov-Wasserstein distance
Facundo Mémoli, Axel Munk, Zhengchao Wan +1
In this paper, we investigate compact ultrametric measure spaces which form a subset of the collection of all metric measure spaces . Similar as for…
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.…