18 citations · 75 across the 20 of their papers we have counts for
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math.ST2015
Mass localization
Thibaut Le Gouic
For a given class of closed sets of a measured metric space , we want to find the smallest element of the class such that , f…
math.ST2015
Existence and Consistency of Wasserstein Barycenters
Thibaut Le Gouic, Jean-Michel Loubes
In this paper, based on the Fr{é}chet mean, we define a notion of barycenter corresponding to a usual notion of statistical mean. We prove the existence of Wasserstein barycenters…
stat.ML2015
Recovering metric from full ordinal information
Thibaut Le Gouic
Given a geodesic space (E, d), we show that full ordinal knowledge on the metric d-i.e. knowledge of the function D d : (w, x, y, z) 1 d(w,x)d(y,z) , determines…