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Extension of the empirical Wasserstein barycenter rate to the regime $1\leq\beta-\alpha<2$
Let $P$ be the probability measure and let $\bar P$ be its Wasserstein barycenter. Let ${\bar P}_n$ denote the empirical Wasserstein barycenter based on $n$ observations, and let…
openFrom papersoptimal-transport statistical-estimation wasserstein-barycenters
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Extension of the empirical Wasserstein barycenter rate to the regime 1≤β−α<21\leq\beta-\alpha<21≤β−α<2