36 citations · 163 across the 33 of their papers we have counts for
4 papers · 1 filter
Estimation of linear operators from scattered impulse responses
Jérémie Bigot, Paul Escande, Pierre Weiss
We provide a new estimator of integral operators with smooth kernels, obtained from a set of scattered and noisy impulse responses. The proposed approach relies on the formalism of…
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…
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…
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…