13 citations · 38 across the 12 of their papers we have counts for
16 papers · 1 filter
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…
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…
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…
Convex generalized Fréchet means in a metric tree
Gabriel Romon, Victor-Emmanuel Brunel
We are interested in measures of central tendency for a population on a network, which is modeled by a metric tree. The location parameters that we study are generalized Fréche…
Geodesically convex -estimation in metric spaces
Victor-Emmanuel Brunel
We study the asymptotic properties of geodesically convex -estimation on non-linear spaces. Namely, we prove that under very minimal assumptions besides geodesic convexity of th…
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.…