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Gromov-Wasserstein Barycenter Surrogates: Statistical Methodology, Distributional Limits and Applications
We introduce statistical theory for the matching of finitely many objects, represented as metric measure spaces (mm-spaces). The approach is based on the second lower bound (SLB) of the Gromov-Wasserstein distance and thus is able to identify deviations in the distributions of the (pairwise) distanc
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