# Robust Wasserstein barycenter

arXiv: https://arxiv.org/abs/2603.07563 · HTML: https://mlsanity.com/paper/2603.07563/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 8 Mar 2026.

## Built on by (most cited first, 1 of 1)

- [Huber-Wasserstein barycenters for robust distribution-valued data](https://mlsanity.com/paper/2608.13131/) (2026)

## Abstract (arXiv)

In this paper, we address a fundamental limitation of the classical Wasserstein barycenter -- its sensitivity to outliers. To overcome these issues, we propose the robust Wasserstein barycenter (RWB) based on a recent concept of the robust optimal transport. Theoretical guarantees, including existence and consistency, are established for the proposed RWB. Through extensive numerical experiments on both simulated and real-world data -- including image processing and financial data analysis -- we demonstrate that the RWB exhibits superior robustness compared to the classical Wasserstein barycenter.