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math.ST2020★ 1 cited
The exponentially weighted average forecaster in geodesic spaces of non-positive curvature
Quentin Paris
This paper addresses the problem of prediction with expert advice for outcomes in a geodesic space with non-positive curvature in the sense of Alexandrov. Via geometric considerati…
math.ST2018
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…