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The Cosparse Analysis Model and Algorithms (2011)
| Citations: | 65 - 14 self |
BibTeX
@MISC{Nam11thecosparse,
author = {S. Nam and M. E. Davies and M. Elad and R. Gribonval},
title = {The Cosparse Analysis Model and Algorithms },
year = {2011}
}
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Abstract
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 appealing applications. Alongside this approach, there is an analysis counterpart model, which, despite its similarity to the synthesis alternative, is markedly different. Surprisingly, the analysis model did not get a similar attention, and its understanding today is shallow and partial. In this paper we take a closer look at the analysis approach, better define it as a generative model for signals, and contrast it with the synthesis one. This workproposeseffectivepursuitmethodsthat aimtosolveinverseproblemsregularized with the analysis-model prior, accompanied by a preliminary theoretical study of their performance. We demonstrate the effectiveness of the analysis model in several experiments.
Keyphrases
cosparse analysis model analysis model understanding today extensive study synthesis alternative sparse representation synthesis model similar attention analysis approach preliminary theoretical study generative model synthesis one clear theoretical foundation analysis-model prior several experiment analysis counterpart model stable field
