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math.OC2023
Wasserstein medians: robustness, PDE characterization and numerics
Guillaume Carlier, Enis Chenchene, Katharina Eichinger
We investigate the notion of Wasserstein median as an alternative to the Wasserstein barycenter, which has become popular but may be sensitive to outliers. In terms of robustness t…
math.OC2022★ 1 cited
Monge-Kantorovich interpolation with constraints and application to a parking problem
Giuseppe Buttazzo, Guillaume Carlier, Katharina Eichinger
We consider optimal transport problems where the cost for transporting a given probability measure to another one consists of two parts: the first one measures the tran…