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Non-Convex Analysis and Synthesis Priors

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Non-Convex Analysis and Synthesis Priors

by Angshul Majumdar

 

26 Mar 2010 (Updated 31 May 2010)

Algorithms for non-convex sparsity promoting analysis and synthesis priors

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Description

LpAnanlysis
Algorithm for solving problems of the form:
min ||Ax||_p s.t. ||y-Hx||_2 < err

LpSynthesis
Algorithm for solving problems of the form:
min ||x||_p s.t. ||y-Hx||_2 < err

LpplusTV
min ||x||_p + TVlambda*TV(A'x) s.t. ||y-Hx||_2 < err

All of them are efficient first-order algorithms. They do not have restrictions on the operators H or A.

MATLAB release MATLAB 7.8 (R2009a)
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Updates
31 May 2010

Added functionality for optimizing Mixed priors involving Lp synthesis and TV term

Tag Activity for this File
Tag Applied By Date/Time
image processing Angshul Majumdar 26 Mar 2010 10:30:43
mathematics Angshul Majumdar 26 Mar 2010 10:30:43
signal processing Angshul Majumdar 26 Mar 2010 10:30:43
optimization Angshul Majumdar 26 Mar 2010 10:30:43

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