13 citations · 49 across the 16 of their papers we have counts for
4 papers · 1 filter
Unbalanced Kantorovich-Rubinstein distance, plan, and barycenter on finite spaces: A statistical perspective
Shayan Hundrieser, Florian Heinemann, Marcel Klatt +2
We analyze statistical properties of plug-in estimators for unbalanced optimal transport quantities between finitely supported measures in different prototypical sampling models. S…
A Unifying Approach to Distributional Limits for Empirical Optimal Transport
Shayan Hundrieser, Marcel Klatt, Thomas Staudt +1
We provide a unifying approach to central limit type theorems for empirical optimal transport (OT). In general, the limit distributions are characterized as suprema of Gaussian pro…
Empirical Optimal Transport between Different Measures Adapts to Lower Complexity
Shayan Hundrieser, Thomas Staudt, Axel Munk
The empirical optimal transport (OT) cost between two probability measures from random data is a fundamental quantity in transport based data analysis. In this work, we derive nove…
On the Uniqueness of Kantorovich Potentials
Thomas Staudt, Shayan Hundrieser, Axel Munk
Kantorovich potentials denote the dual solutions of the renowned optimal transportation problem. Uniqueness of these solutions is relevant from both a theoretical and an algorithmi…