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Cristina Garcia-Cardona and Brendt Wohlberg, "Convolutional Dictionary Learning: A Comparative Review and New Algorithms", IEEE Transactions on Computational Imaging, vol. 4, no. 3, doi:10.1109/TCI.2018.2840334, pp. 366--381, Sep 2018


Convolutional sparse representations are a form of sparse representation with a dictionary that has a structure that is equivalent to convolution with a set of linear filters. While effective algorithms have recently been developed for the convolutional sparse coding problem, the corresponding dictionary learning problem is substantially more challenging. Furthermore, although a number of different approaches have been proposed, the absence of thorough comparisons between them makes it difficult to determine which of them represents the current state of the art. The present work both addresses this deficiency and proposes some new approaches that outperform existing ones in certain contexts. A thorough set of performance comparisons indicates a very wide range of performance differences among the existing and proposed methods, and clearly identifies those that are the most effective.

BibTeX Entry

author = {Cristina Garcia-Cardona and Brendt Wohlberg},
title = {Convolutional Dictionary Learning: A Comparative Review and New Algorithms},
year = {2018},
month = Sep,
urlpdf = {},
urlhtml = {},
urlcode = {},
journal = {IEEE Transactions on Computational Imaging},
volume = {4},
number = {3},
doi = {10.1109/TCI.2018.2840334},
pages = {366--381},
note = {There are errors in Equations (18) and (19) in the published version of the paper. These have been corrected in the most recent arXiv version.}