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- Publications
- Influence
Convergence rates for empirical barycenters in metric spaces: curvature, convexity and extendable geodesics
- Adil Ahidar-Coutrix, Thibaut Le Gouic, Q. Paris
- Mathematics
- 7 June 2018
This paper provides rates of convergence for empirical (generalised) barycenters on compact geodesic metric spaces under general conditions using empirical processes techniques. Our main assumption… Expand
On the rate of convergence of empirical barycentres in metric spaces: curvature, convexity and extendible geodesics
- Adil Ahidar-Coutrix, Thibaut Le Gouic, Q. Paris
- Mathematics
- 17 June 2019
This paper provides rates of convergence for empirical (generalised) barycenters on compact geodesic metric spaces under general conditions using empirical processes techniques.
Our main assumption… Expand
- 6
- 2
Surfaces quantile : propriétés, convergences et applications
- Adil Ahidar-Coutrix
- Mathematics
- 3 July 2015
The main issue of the thesis is the development of spatial generalizations on $\R^d$ of the usual real quantile. Facing the usual fact that $\R^d$ is not naturally ordered, our idea is to simply… Expand
- 1
Convergence of Multivariate Quantile Surfaces
- Adil Ahidar-Coutrix, P. Berthet
- Mathematics
- 9 July 2016
We define the quantile set of order α ∈ [1/2, 1) associated to a law P on R d to be the collection of its directional quantiles seen from an observer O ∈ R d. Under minimal assumptions these… Expand