Working Locally Thinking Globally: Theoretical Guarantees for Convolutional Sparse Coding

The celebrated sparse representation model has led to remarkable results in various signal processing tasks in the last decade. However, despite its initial purpose of serving as a global prior for entire signals, it has been commonly used for modeling low dimensional patches due to the computationa...

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Bibliographic Details

Published in:	IEEE transactions on signal processing Vol. 65; no. 21; pp. 5687 - 5701
Main Authors:	Papyan, Vardan, Sulam, Jeremias, Elad, Michael
Format:	Journal Article
Language:	English
Published:	IEEE 01.11.2017
Subjects:	basis pursuit Computational modeling Convolution Convolutional codes convolutional sparse coding Dictionaries global modeling local processing Matching pursuit algorithms Mathematical model orthogonal matching pursuit Sparse matrices Sparse representations stability guarantees uniqueness guarantees
ISSN:	1053-587X, 1941-0476
Online Access:	Get full text
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