13 citations · 22 across the 7 of their papers we have counts for
7 papers
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…
Kantorovich-Rubinstein distance and barycenter for finitely supported measures: Foundations and Algorithms
Florian Heinemann, Marcel Klatt, Axel Munk
The purpose of this paper is to provide a systematic discussion of a generalized barycenter based on a variant of unbalanced optimal transport (UOT) that defines a distance between…
Limit Distributions and Sensitivity Analysis for Empirical Entropic Optimal Transport on Countable Spaces
Shayan Hundrieser, Marcel Klatt, Axel Munk
For probability measures on countable spaces we derive distributional limits for empirical entropic optimal transport quantities. More precisely, we show that the empirical optimal…
The Statistics of Circular Optimal Transport
Shayan Hundrieser, Marcel Klatt, Axel Munk
Empirical optimal transport (OT) plans and distances provide effective tools to compare and statistically match probability measures defined on a given ground space. Fundamental to…
Limit Laws for Empirical Optimal Solutions in Stochastic Linear Programs
Marcel Klatt, Axel Munk, Yoav Zemel
We consider a general linear program in standard form whose right-hand side constraint vector is subject to random perturbations. This defines a stochastic linear program for which…