353 citations · 1.8k across the 69 of their papers we have counts for
5 papers · 1 filter
Well-posedness of the permutation problem in sparse filter estimation with lp minimization
Alexis Benichoux, Prasad Sudhakar, Frédéric Bimbot +1
Convolutive source separation is often done in two stages: 1) estimation of the mixing filters and 2) estimation of the sources. Traditional approaches suffer from the ambiguities…
Joint k-step analysis of Orthogonal Matching Pursuit and Orthogonal Least Squares
Charles Soussen, Rémi Gribonval, Jérôme Idier +1
Tropp's analysis of Orthogonal Matching Pursuit (OMP) using the Exact Recovery Condition (ERC) is extended to a first exact recovery analysis of Orthogonal Least Squares (OLS). We…
Universal and efficient compressed sensing by spread spectrum and application to realistic Fourier imaging techniques
Gilles Puy, Pierre Vandergheynst, Rémi Gribonval +1
We advocate a compressed sensing strategy that consists of multiplying the signal of interest by a wide bandwidth modulation before projection onto randomly selected vectors of an…
The Cosparse Analysis Model and Algorithms
Sangnam Nam, Mike E. Davies, Michael Elad +1
After a decade of extensive study of the sparse representation synthesis model, we can safely say that this is a mature and stable field, with clear theoretical foundations, and ap…
Compressible Distributions for High-dimensional Statistics
Rémi Gribonval, Volkan Cevher, Mike E. Davies
We develop a principled way of identifying probability distributions whose independent and identically distributed (iid) realizations are compressible, i.e., can be well-approximat…