106 citations · 246 across the 12 of their papers we have counts for
12 papers
Iterative algorithms for total variation-like reconstructions in seismic tomography
Ignace Loris, Caroline Verhoeven
A qualitative comparison of total variation like penalties (total variation, Huber variant of total variation, total generalized variation, ...) is made in the context of global se…
An iterative algorithm for sparse and constrained recovery with applications to divergence-free current reconstructions in magneto-encephalography
Ignace Loris, Caroline Verhoeven
We propose an iterative algorithm for the minimization of a -norm penalized least squares functional, under additional linear constraints. The algorithm is fully explicit:…
On a generalization of the iterative soft-thresholding algorithm for the case of non-separable penalty
Ignace Loris, Caroline Verhoeven
An explicit algorithm for the minimization of an penalized least squares functional, with non-separable term, is proposed. Each step in the iterative algorithm re…
Practical error estimates for sparse recovery in linear inverse problems
Ignace Loris, Caroline Verhoeven
The effectiveness of using model sparsity as a priori information when solving linear inverse problems is studied. We investigate the reconstruction quality of such a method in the…
An integrable hierarchy with a perturbed Henon-Heiles system
A. N. W. Hone, V. S Novikov, C. Verhoeven
We consider an integrable scalar partial differential equation (PDE) that is second order in time. By rewriting it as a system and applying the Wahlquist-Estabrook prolongation alg…
Painleve' property of the He'non-Heiles Hamiltonians
Robert Conte, Micheline Musette, Caroline Verhoeven
Time independent Hamiltonians of the physical type H = (P_1^2+P_2^2)/2+V(Q_1,Q_2) pass the Painleve' test for only seven potentials , known as the He'non-Heiles Hamiltonians, ea…