Monotone operator splitting for optimization problems in sparse recovery

@article{Fadili2009MonotoneOS,
  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)},
  year={2009},
  pages={1461-1464}
}
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
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