104 citations · 265 across the 17 of their papers we have counts for
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math.NA2017
A characterization of the Non-Degenerate Source Condition in Super-Resolution
Vincent Duval
In a recent article, Schiebinger et al. provided sufficient conditions for the noiseless recovery of a signal made of M Dirac masses given 2M + 1 observations of, e.g. , its convol…
math.OC2017★ 14 cited
A Low-Rank Approach to Off-The-Grid Sparse Deconvolution
Paul Catala, Vincent Duval, Gabriel Peyré
We propose a new solver for the sparse spikes deconvolution problem over the space of Radon measures. A common approach to off-the-grid deconvolution considers semidefinite (SDP) r…
math.NA2017★ 2 cited
Minimal convex extensions and finite difference discretization of the quadratic Monge-Kantorovich problem
Jean-David Benamou, Vincent Duval
We present an adaptation of the MA-LBR scheme to the Monge-Amp{è}re equation with second boundary value condition, provided the target is a convex set. This yields a fast adaptive…