10 citations · 10 across the 5 of their papers we have counts for
4 papers · 1 filter
On the stable recovery of deep structured linear networks under sparsity constraints
Francois Malgouyres
We consider a deep structured linear network under sparsity constraints. We study sharp conditions guaranteeing the stability of the optimal parameters defining the network. More p…
Image restoration using sparse approximations of spatially varying blur operators in the wavelet domain
Paul Escande, Pierre Weiss, Francois Malgouyres
Restoration of images degraded by spatially varying blurs is an issue of increasing importance in the context of photography, satellite or microscopy imaging. One of the main diffi…
Average performance of the sparsest approximation using a general dictionary
Francois Malgouyres, Mila Nikolova
We consider the minimization of the number of non-zero coefficients (the "norm") of the representation of a data set in terms of a dictionary under a fidelity constraint.…
Estimating the probability law of the codelength as a function of the approximation error in image compression
Francois Malgouyres
After a recollection on compression through a projection onto a polyhedral set (which generalizes the compression by coordinates quantization), we express, in this framework, the p…