most citedConvergence rates for empirical barycenters in metric spaces: curvature, convexity and extendible geodesics

11 citations · 14 across the 2 of their papers we have counts for

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2 papers

math.ST2018★ 11 cited

Convergence rates for empirical barycenters in metric spaces: curvature, convexity and extendible geodesics

Adil Ahidar-Coutrix, Thibaut Le Gouic, Quentin Paris

This paper provides rates of convergence for empirical (generalised) barycenters on compact geodesic metric spaces under general conditions using empirical processes techniques. Ou…

math.ST2016★ 3 cited

Convergence of Multivariate Quantile Surfaces

Adil Ahidar-Coutrix, Philippe Berthet

We define the quantile set of order associated to a law on to be the collection of its directional quantiles seen from an observer…