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20222026
most citedStability estimates for the sharp spectral gap bound under a curvature-dimension condition

1 citations · 2 across the 8 of their papers we have counts for

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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 the…

math.ST2025★ 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.ST2023

Concentration of empirical barycenters in metric spaces

Victor-Emmanuel Brunel, Jordan Serres

Barycenters (aka Fréchet means) were introduced in statistics in the 1940's and popularized in the fields of shape statistics and, later, in optimal transport and matrix analysis.…