Plug-and-play ADMM for image restoration: Fixed-point convergence and applications

SH Chan, X Wang, OA Elgendy - IEEE Transactions on …, 2016‏ - ieeexplore.ieee.org
Alternating direction method of multiplier (ADMM) is a widely used algorithm for solving
constrained optimization problems in image restoration. Among many useful features, one …

State evolution for approximate message passing with non-separable functions

R Berthier, A Montanari… - Information and Inference …, 2020‏ - academic.oup.com
Given a high-dimensional data matrix, approximate message passing (AMP) algorithms
construct sequences of vectors,, indexed by by iteratively applying or and suitable nonlinear …

Capacity optimality of AMP in coded systems

L Liu, C Liang, J Ma, L ** - IEEE Transactions on Information …, 2021‏ - ieeexplore.ieee.org
This paper studies a large random matrix system (LRMS) model involving an arbitrary signal
distribution and forward error control (FEC) coding. We establish an area property based on …
S Huang, JJ Lah, JW Allen, D Qiu - Magnetic resonance in …, 2022‏ - Wiley Online Library
Purpose Undersampling is used to reduce the scan time for high‐resolution three‐
dimensional magnetic resonance imaging. In order to achieve better image quality and …

Analysis of approximate message passing with a class of non-separable denoisers

Y Ma, C Rush, D Baron - 2017 IEEE International Symposium …, 2017‏ - ieeexplore.ieee.org
Approximate message passing (AMP) is a class of efficient algorithms for solving high-
dimensional linear regression tasks where one wishes to recover an unknown signal βο …