Journal article

A Sequential Block-Structured Dictionary Learning Algorithm for Block Sparse Representations

Abd-Krim Seghouane, Asif Iqbal, Karim Abed-Meraim

IEEE Transactions on Computational Imaging | IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC | Published : 2019

Abstract

Dictionary learning algorithms have been successfully applied to a number of signal and image processing problems. In some applications, however, the observed signals may further have a multisubspace structure that enables block-sparse signal representations. For this case, a new algorithm for learning blockstructured dictionaries for block-sparse signal representations is proposed in this paper. It is obtained by solving a sequence of penalized low rank matrix approximation problems where the ℓ 1,2 - norm is introduced as a penalty promoting block sparsity and then using a block coordinate descent approach to estimate the unknowns. The proposed algorithm has the advantage of involving simpl..

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University of Melbourne Researchers