Granai, L.
Vandergheynst, P.
Sparse Approximation by Linear Programming: Measuring the Error with the $ell_1$ Norm
Ecublens
http://infoscience.epfl.ch/record/87170/files/Granai2005_1295.pdf
In this report we study the problem of sparse signal approximation over redundant dictionaries. We focus our attention on the minimization of a cost function where the error is measured using a l1 norm. We show a constructive equivalence between this minimization and Linear Programming. A recovery condition is then proved and finally we provide an example of the use of such a technique for denoising.
2006-06-14T14:24:29Z
http://infoscience.epfl.ch/record/87170
http://infoscience.epfl.ch/record/87170
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