Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2026
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2603.07563 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866916073344860160 |
|---|---|
| author | Cheng, Zixiong Liu, Hang |
| author_facet | Cheng, Zixiong Liu, Hang |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_07563 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Robust Wasserstein barycenter Cheng, Zixiong Liu, Hang Methodology 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. |
| title | Robust Wasserstein barycenter |
| topic | Methodology |
| url | https://arxiv.org/abs/2603.07563 |