most citedFinite sample bounds for barycenter estimation in geodesic spaces

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math.ST2026★ 1 cited

Finite sample bounds for barycenter estimation in geodesic spaces

Victor-Emmanuel Brunel, Jordan Serres

We study the problem of estimating the barycenter of a distribution given i.i.d. data in a geodesic space. Assuming an upper curvature bound in Alexandrov's sense and a support con…

math.ST2026

means with learned metrics

Pablo Groisman, Matthieu Jonckheere, Jordan Serres +1

We study the Fréchet means of a metric measure space when both the measure and the distance are unknown and have to be estimated. We prove a general result that states that th…