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EFFICIENT CONVOLUTIONAL DICTIONARY LEARNING USING PARTIAL UPDATE FAST ITERATIVE SHRINKAGE-THRESHOLDING ALGORITHM

Abstract: 

Convolutional sparse representations allow modeling an entire image as an alternative to the more common independent patch-based
formulations. Although many approaches have been proposed to efficiently solve the convolutional dictionary learning (CDL) problem,
their computational performance is constrained by the dictionary update stage. In this work, we include two improvements to existing
methods (i) a dictionary update based on Accelerated Proximal Gradient (APG) approach computed in the frequency domain and (ii) a new update model reminiscent of the Block Gauss Seidel (BGS) method. Our experimental results show that both improvements provide a significant speedup with respect to the state-of-the-art methods. In addition, dictionaries learned by our proposed method yield matching performance in terms of reconstruction and sparsity metrics in a denoising task.

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Paper Details

Authors:
Gustavo Silva, Paul Rodriguez
Submitted On:
19 April 2018 - 3:39pm
Short Link:
Type:
Poster
Event:
Presenter's Name:
Gustavo Silva
Paper Code:
3908
Document Year:
2018
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Document Files

poster_3908.pdf

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[1] Gustavo Silva, Paul Rodriguez, "EFFICIENT CONVOLUTIONAL DICTIONARY LEARNING USING PARTIAL UPDATE FAST ITERATIVE SHRINKAGE-THRESHOLDING ALGORITHM", IEEE SigPort, 2018. [Online]. Available: http://sigport.org/3012. Accessed: Dec. 12, 2018.
@article{3012-18,
url = {http://sigport.org/3012},
author = {Gustavo Silva; Paul Rodriguez },
publisher = {IEEE SigPort},
title = {EFFICIENT CONVOLUTIONAL DICTIONARY LEARNING USING PARTIAL UPDATE FAST ITERATIVE SHRINKAGE-THRESHOLDING ALGORITHM},
year = {2018} }
TY - EJOUR
T1 - EFFICIENT CONVOLUTIONAL DICTIONARY LEARNING USING PARTIAL UPDATE FAST ITERATIVE SHRINKAGE-THRESHOLDING ALGORITHM
AU - Gustavo Silva; Paul Rodriguez
PY - 2018
PB - IEEE SigPort
UR - http://sigport.org/3012
ER -
Gustavo Silva, Paul Rodriguez. (2018). EFFICIENT CONVOLUTIONAL DICTIONARY LEARNING USING PARTIAL UPDATE FAST ITERATIVE SHRINKAGE-THRESHOLDING ALGORITHM. IEEE SigPort. http://sigport.org/3012
Gustavo Silva, Paul Rodriguez, 2018. EFFICIENT CONVOLUTIONAL DICTIONARY LEARNING USING PARTIAL UPDATE FAST ITERATIVE SHRINKAGE-THRESHOLDING ALGORITHM. Available at: http://sigport.org/3012.
Gustavo Silva, Paul Rodriguez. (2018). "EFFICIENT CONVOLUTIONAL DICTIONARY LEARNING USING PARTIAL UPDATE FAST ITERATIVE SHRINKAGE-THRESHOLDING ALGORITHM." Web.
1. Gustavo Silva, Paul Rodriguez. EFFICIENT CONVOLUTIONAL DICTIONARY LEARNING USING PARTIAL UPDATE FAST ITERATIVE SHRINKAGE-THRESHOLDING ALGORITHM [Internet]. IEEE SigPort; 2018. Available from : http://sigport.org/3012