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ICA
2004
Springer
13 years 10 months ago
On the Strong Uniqueness of Highly Sparse Representations from Redundant Dictionaries
A series of recent results shows that if a signal admits a sufficiently sparse representation (in terms of the number of nonzero coefficients) in an “incoherent” dictionary, th...
Rémi Gribonval, Morten Nielsen
ICIP
2003
IEEE
14 years 7 months ago
Sparse decompositions in "incoherent" dictionaries
The purpose of this paper is to generalize a result by Donoho, Huo, Elad and Bruckstein on sparse representations of signals/images in a union of two orthonormal bases. We conside...
Morten Nielsen, Rémi Gribonval
ICASSP
2011
IEEE
12 years 9 months ago
Cosparse analysis modeling - uniqueness and algorithms
In the past decade there has been a great interest in a synthesis-based model for signals, based on sparse and redundant representations. Such a model assumes that the signal of i...
Sangnam Nam, Michael E. Davies, Michael Elad, R&ea...