Details

Autor(en) / Beteiligte

• Combettes, Patrick L.
• Pesquet, Jean-Christophe

Titel

Proximal Splitting Methods in Signal Processing

Ist Teil von

• Fixed-Point Algorithms for Inverse Problems in Science and Engineering, 2011, p.185-212

Ort / Verlag

New York, NY: Springer New York

Erscheinungsjahr

2011

Link zum Volltext

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• The proximity operator of a convex function is a natural extension of the notion of a projection operator onto a convex set. This tool, which plays a central role in the analysis and the numerical solution of convex optimization problems, has recently been introduced in the arena of inverse problems and, especially, in signal processing, where it has become increasingly important. In this paper, we review the basic properties of proximity operators which are relevant to signal processing and present optimization methods based on these operators. These proximal splitting methods are shown to capture and extend several well-known algorithms in a unifying framework. Applications of proximal methods in signal recovery and synthesis are discussed.