41 citations · 45 across the 7 of their papers we have counts for
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math.OC2020★ 3 cited
On the Uniqueness of Solutions for the Basis Pursuit in the Continuum
Thomas Debarre, Quentin Denoyelle, Julien Fageot
This paper studies the continuous-domain inverse problem of recovering Radon measures on the one-dimensional torus from low-frequency Fourier coefficients, where Kc is the cutoff f…
math.OC2020
Sparsest Piecewise-Linear Regression of One-Dimensional Data
Thomas Debarre, Quentin Denoyelle, Michael Unser +1
We study the problem of one-dimensional regression of data points with total-variation (TV) regularization (in the sense of measures) on the second derivative, which is known to pr…