19 citations · 22 across the 8 of their papers we have counts for
4 papers · 1 filter
Translation-invariant interpolation of parametric dictionaries
Frédéric Champagnat, Cédric Herzet
In this communication, we address the problem of approximating the atoms of a parametric dictionary, commonly encountered in the context of sparse representations in "continuous" d…
Continuous dictionaries meet low-rank tensor approximations
Clement Elvira, Jeremy E. Cohen, Cedric Herzet +1
In this short paper we bridge two seemingly unrelated sparse approximation topics: continuous sparse coding and low-rank approximations. We show that for a specific choice of conti…
When does OMP achieve exact recovery with continuous dictionaries?
Clément Elvira, Rémi Gribonval, Charles Soussen +1
This paper presents new theoretical results on sparse recovery guarantees for a greedy algorithm, Orthogonal Matching Pursuit (OMP), in the context of continuous parametric diction…
Coherence-based Partial Exact Recovery Condition for OMP/OLS
Cedric Herzet, Charles Soussen, Jerome Idier +1
We address the exact recovery of the support of a k-sparse vector with Orthogonal Matching Pursuit (OMP) and Orthogonal Least Squares (OLS) in a noiseless setting. We consider the…