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A Forward-Backward View of Some Primal-Dual Optimization Methods in Image Recovery
Abstract : A wide array of image recovery problems can be abstracted into theproblem of minimizing a sum of composite convex functions in aHilbert space. To solve such problems, primal-dual proximalapproaches have been developed which provide efficient solutions tolarge-scale optimization problems. Theobjective of this paper is to show that a number of existingalgorithms can be derived from a general form of theforward-backward algorithm applied in a suitable product space.Our approach also allows us to develop useful extensions ofexisting algorithms by introducing a variable metric. Anillustration to image restoration is provided.
Cited literature [28 references]
https://hal.archives-ouvertes.fr/hal-01098038
Contributor : Patrick Louis Combettes Connect in order to contact the contributor
Submitted on : Monday, December 22, 2014 - 4:21:52 PM
Last modification on : Saturday, January 15, 2022 - 3:58:00 AM
Long-term archiving on: : Monday, March 23, 2015 - 7:40:23 PM
Contributor : Patrick Louis Combettes Connect in order to contact the contributor
Submitted on : Monday, December 22, 2014 - 4:21:52 PM
Last modification on : Saturday, January 15, 2022 - 3:58:00 AM
Long-term archiving on: : Monday, March 23, 2015 - 7:40:23 PM
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icip2014.pdf
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