Robust Wasserstein barycenter
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866916073344860160 |
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| 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 |