Statistical physics of inference: Thresholds and algorithms

L Zdeborová, F Krzakala - Advances in Physics, 2016 - Taylor & Francis
Many questions of fundamental interest in today's science can be formulated as inference
problems: some partial, or noisy, observations are performed over a set of variables and the …

A survey of stochastic simulation and optimization methods in signal processing

M Pereyra, P Schniter, E Chouzenoux… - IEEE Journal of …, 2015 - ieeexplore.ieee.org
Modern signal processing (SP) methods rely very heavily on probability and statistics to
solve challenging SP problems. SP methods are now expected to deal with ever more …

Vector approximate message passing

S Rangan, P Schniter… - IEEE Transactions on …, 2019 - ieeexplore.ieee.org
The standard linear regression (SLR) problem is to recover a vector x 0 from noisy linear
observations y= Ax 0+ w. The approximate message passing (AMP) algorithm proposed by …

Orthogonal amp

J Ma, L Ping - IEEE Access, 2017 - ieeexplore.ieee.org
Approximate message passing (AMP) is a low-cost iterative signal recovery algorithm for
linear system models. When the system transform matrix has independent identically …

An online plug-and-play algorithm for regularized image reconstruction

Y Sun, B Wohlberg, US Kamilov - IEEE Transactions on …, 2019 - ieeexplore.ieee.org
Plug-and-play priors (PnP) is a powerful framework for regularizing imaging inverse
problems by using advanced denoisers within an iterative algorithm. Recent experimental …

On the convergence of approximate message passing with arbitrary matrices

S Rangan, P Schniter, AK Fletcher… - IEEE Transactions on …, 2019 - ieeexplore.ieee.org
Approximate message passing (AMP) methods and their variants have attracted
considerable recent attention for the problem of estimating a random vector x observed …

A GAMP-based low complexity sparse Bayesian learning algorithm

M Al-Shoukairi, P Schniter… - IEEE Transactions on …, 2017 - ieeexplore.ieee.org
In this paper, we present an algorithm for the sparse signal recovery problem that
incorporates damped Gaussian generalized approximate message passing (GGAMP) into …

Learning optimal nonlinearities for iterative thresholding algorithms

US Kamilov, H Mansour - IEEE Signal Processing Letters, 2016 - ieeexplore.ieee.org
Iterative shrinkage/thresholding algorithm (ISTA) is a well-studied method for finding sparse
solutions to ill-posed inverse problems. In this letter, we present a data-driven scheme for …

Local convexity of the TAP free energy and AMP convergence for -synchronization

M Celentano, Z Fan, S Mei - The Annals of Statistics, 2023 - projecteuclid.org
Local convexity of the TAP free energy and AMP convergence for Z2-synchronization Page 1
The Annals of Statistics 2023, Vol. 51, No. 2, 519–546 https://doi.org/10.1214/23-AOS2257 © …

Sparse channel estimation via hierarchical hybrid message passing for massive MIMO-OFDM systems

X Liu, W Wang, X Song, X Gao… - IEEE Transactions on …, 2021 - ieeexplore.ieee.org
In this paper, we investigate a sparse channel estimation problem for broadband massive
multiple-input-multiple-output orthogonal frequency division multiplexing (MIMO-OFDM) …