15 citations · 36 across the 9 of their papers we have counts for
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math.ST2018★ 15 cited
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…
stat.ME2018
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…