Lebesgue-type Inequality for Orthogonal Matching Pursuit for Micro-coherent Dictionaries

In this paper, we investigate the efficiency of some kind of Greedy Algorithms with respect to dictionaries from Hilbert spaces. We establish ideal Lebesgue-type inequality for Orthogonal Matching Pursuit also known in literature as the Orthogonal Greedy Algorithm for -coherent dictionaries. We show...

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Main Authors: Peixin, Ye (Author), Xiujie, Wei (Author)
Format: EJournal Article
Published: Institute of Advanced Engineering and Science, 2013-01-10.
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Summary:In this paper, we investigate the efficiency of some kind of Greedy Algorithms with respect to dictionaries from Hilbert spaces. We establish ideal Lebesgue-type inequality for Orthogonal Matching Pursuit also known in literature as the Orthogonal Greedy Algorithm for -coherent dictionaries. We show that the Orthogonal Matching Pursuit provides an almost optimal approximation on the first. DOI: http://dx.doi.org/10.11591/telkomnika.v11i1.1890