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

Bernstein-von Mises theorem for log-concave posteriors

Victor-Emmanuel Brunel

We prove new, general versions of Bernstein-von Mises theorem for both well-specified and misspecified models when the log-likelihood is concave in the parameter and the prior dist…

math.ST2025

Asymptotics of constrained -estimation under convexity

Victor-Emmanuel Brunel

M-estimation, aka empirical risk minimization, is at the heart of statistics and machine learning: Classification, regression, location estimation, etc. Asymptotic theory is well u…