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20122023
most citedLocal stability and robustness of sparse dictionary learning in the presence of noise

30 citations · 86 across the 20 of their papers we have counts for

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Showing 2018Show all

7 papers · 1 filter

cs.LG2018

Stable safe screening and structured dictionaries for faster L1 regularization

Cassio Fraga Dantas, Rémi Gribonval

In this paper, we propose a way to combine two acceleration techniques for the -regularized least squares problem: safe screening tests, which allow to eliminate useless…

math.ST2018

Concentration of the Frobenius norm of generalized matrix inverses

Ivan Dokmanić, Rémi Gribonval

In many applications it is useful to replace the Moore-Penrose pseudoinverse (MPP) by a different generalized inverse with more favorable properties. We may want, for example, to h…

cs.SD2018

MULAN: A Blind and Off-Grid Method for Multichannel Echo Retrieval

Helena Peic Tukuljac, Antoine Deleforge, Rémi Gribonval

This paper addresses the general problem of blind echo retrieval, i.e., given M sensors measuring in the discrete-time domain M mixtures of K delayed and attenuated copies of an un…

math.ST2018

On bayesian estimation and proximity operators

Rémi Gribonval, Mila Nikolova

There are two major routes to address the ubiquitous family of inverse problems appearing in signal and image processing, such as denoising or deblurring. A first route relies on B…

math.CA2018

A characterization of proximity operators

Rémi Gribonval, Mila Nikolova

We characterize proximity operators, that is to say functions that map a vector to a solution of a penalized least squares optimization problem. Proximity operators of convex penal…

cs.IT2018

Is the 1-norm the best convex sparse regularization?

Yann Traonmilin, Samuel Vaiter, Rémi Gribonval

The 1-norm is a good convex regularization for the recovery of sparse vectors from under-determined linear measurements. No other convex regularization seems to surpass its sparse…