36 citations · 163 across the 33 of their papers we have counts for
Showing 2016 · math.STShow all
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math.ST2016★ 2 cited
Minimax convergence rate for estimating the Wasserstein barycenter of random measures on the real line
Jérémie Bigot, Raúl Gouet, Thierry Klein +1
This paper is focused on the statistical analysis of probability measures on that can be viewed as independent realizations of an underlying stoch…
math.ST2016★ 10 cited
Penalized Barycenters in the Wasserstein Space
Jérémie Bigot, Elsa Cazelles, Nicolas Papadakis
In this paper, a regularization of Wasserstein barycenters for random measures supported on is introduced via convex penalization. The existence and uniqueness of…
math.ST2016★ 14 cited
Generalized SURE for optimal shrinkage of singular values in low-rank matrix denoising
Jérémie Bigot, Charles Deledalle, Delphine Féral
We consider the problem of estimating a low-rank signal matrix from noisy measurements under the assumption that the distribution of the data matrix belongs to an exponential famil…