The authors introduce data-driven Wasserstein barycenter aggregation of probability models on the real line and prove consistency of the empirical scheme via a variational Gamma-convergence argument under mild conditions.
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Barycentric model aggregation in the Wasserstein space of distributions and a variational approach to consistency
The authors introduce data-driven Wasserstein barycenter aggregation of probability models on the real line and prove consistency of the empirical scheme via a variational Gamma-convergence argument under mild conditions.