Non-Convex Analysis and Synthesis Priors

Algorithms for non-convex sparsity promoting analysis and synthesis priors

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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.

Cite As

Angshul Majumdar (2026). Non-Convex Analysis and Synthesis Priors (https://uk.mathworks.com/matlabcentral/fileexchange/27087-non-convex-analysis-and-synthesis-priors), MATLAB Central File Exchange. Retrieved .

General Information

MATLAB Release Compatibility

  • Compatible with any release

Platform Compatibility

  • Windows
  • macOS
  • Linux
Version Published Release Notes Action
1.1.0.0

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

1.0.0.0