Monotone operator splitting for optimization problems in sparse recovery

  title={Monotone operator splitting for optimization problems in sparse recovery},
  author={Mohamed-Jalal Fadili and Jean-Luc Starck},
  journal={2009 16th IEEE International Conference on Image Processing (ICIP)},
This work focuses on several optimization problems involved in recovery of sparse solutions of linear inverse problems. Such problems appear in many fields including image and signal processing, and have attracted even more interest since the emergence of the compressed sensing (CS) theory. In this paper, we formalize many of these optimization problems within a unified framework of convex optimization theory, and invoke tools from convex analysis and maximal monotone operator splitting. We… CONTINUE READING
Highly Cited
This paper has 53 citations. REVIEW CITATIONS


Publications citing this paper.
Showing 1-10 of 27 extracted citations

Joint Reconstruction of Multiview Compressed Images

IEEE Transactions on Image Processing • 2013
View 5 Excerpts
Highly Influenced

Joint reconstruction of correlated images from compressed images

2012 Proceedings of the 20th European Signal Processing Conference (EUSIPCO) • 2012
View 3 Excerpts
Highly Influenced

Multichannel Speech Separation and Enhancement Using the Convolutive Transfer Function

IEEE/ACM Transactions on Audio, Speech, and Language Processing • 2019
View 2 Excerpts
Method Support

Correlation-Aware Recovery of Compressible and Localized Signals

2018 IEEE International Symposium on Circuits and Systems (ISCAS) • 2018
View 2 Excerpts

54 Citations

Citations per Year
Semantic Scholar estimates that this publication has 54 citations based on the available data.

See our FAQ for additional information.


Publications referenced by this paper.
Showing 1-10 of 16 references