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### Cite Details

Paul Rodríguez and Brendt Wohlberg, "A Comparison of the Computational Performance of Iteratively Reweighted Least Squares and Alternating Minimization Algorithms for 1 Inverse Problems", in Proceedings of IEEE International Conference on Image Processing (ICIP), (Orlando, FL, USA), doi:10.1109/ICIP.2012.6467548, pp. 3069--3072, Oct 2012

### Abstract

Alternating minimization algorithms with a shrinkage step, derived within the Split Bregman (SB) or Alternating Direction Method of Multipliers (ADMM) frameworks, have become very popular for 1-regularized problems, including Total Variation and Basis Pursuit Denoising. It appears to be generally assumed that they deliver much better computational performance than older methods such as Iteratively Reweighted Least Squares (IRLS). We show, however, that IRLS type methods are computationally competitive with SB/ADMM methods for a variety of problems, and in some cases outperform them.

### BibTeX Entry

@inproceedings{rodriguez-2012-comparison,
author = {Paul Rodr\'{i}guez and Brendt Wohlberg},
title = {A Comparison of the Computational Performance of Iteratively Reweighted Least Squares and Alternating Minimization Algorithms for $\ell_{1}$ Inverse Problems},
year = {2012},
month = Oct,
urlpdf = {http://brendt.wohlberg.net/publications/pdf/rodriguez-2012-comparison.pdf},
booktitle = {Proceedings of IEEE International Conference on Image Processing (ICIP)},