14 citations · 14 across the 1 of their papers we have counts for
4 papers
Statistical inference for Bures-Wasserstein barycenters
Alexey Kroshnin, Vladimir Spokoiny, Alexandra Suvorikova
In this work we introduce the concept of Bures-Wasserstein barycenter , that is essentially a Fréchet mean of some distribution supported on a subspace of positiv…
Multivariate Brenier cumulative distribution functions and their application to non-parametric testing
Melf Boeckel, Vladimir Spokoiny, Alexandra Suvorikova
In this work we introduce a novel approach of construction of multivariate cumulative distribution functions, based on cyclical-monotone mapping of an original measure $μ\in \mathc…
Gaussian processes with multidimensional distribution inputs via optimal transport and Hilbertian embedding
Francois Bachoc, Alexandra Suvorikova, David Ginsbourger +2
In this work, we investigate Gaussian Processes indexed by multidimensional distributions. While directly constructing radial positive definite kernels based on the Wasserstein dis…
Construction of Non-asymptotic Confidence Sets in 2-Wasserstein Space
Johannes Ebert, Vladimir Spokoiny, Alexandra Suvorikova
In this paper, we consider a probabilistic setting where the probability measures are considered to be random objects. We propose a procedure of construction non-asymptotic confide…