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The cosparse analysis model has been introduced recently as an interesting alternative to the standard sparse synthesis approach. A prominent question brought up by this new construction is the analysis pursuit problem – the need to find a signal belonging to this model, given a set of corrupted measurements of it. Several pursuit methods have already been proposed based on ℓ1 relaxation and a greedy...
CoSaMP and Subspace-Pursuit (SP) are two recovery algorithms that find the sparsest representation for a given signal under a given dictionary in the presence of noise. These two methods were conceived in the context of the synthesis sparse representation modeling. The cosparse analysis model is a recent construction that stands as an interesting alternative to the synthesis approach. This new model...
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