13 citations · 23 across the 3 of their papers we have counts for
4 papers
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…
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…
Finite Sample Smeariness on Spheres
Benjamin Eltzner, Shayan Hundrieser, Stephan F. Huckemann
Finite Sample Smeariness (FSS) has been recently discovered. It means that the distribution of sample Fréchet means of underlying rather unsuspicious random variables can behave as…