Characterization of barycenters in the Wasserstein space by averaging optimal transport maps

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Obtaining Fairness using Optimal Transport Theory (2018, result): “Similar ideas have also been developed in [CD14] or [BK12].”
Bayesian Learning with Wasserstein Barycenters (2018, methodology): “When the support of Γ is infinite andM =Wp(X), this object is termed p-Wasserstein population barycenter of Γ as introduced in [33]; see [10].”