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We examine the use of a structured thresholding algorithm for sparse underwater channel estimation using compressed sensing. This method shows some improvements over standard algorithms for sparse channel estimation such as matching…

Applications · Statistics 2010-02-16 Sushil Subramanian

Efficient signal detectors are rather important yet challenging to achieve satisfactory performance for large-scale communication systems. This paper considers a non-orthogonal sparse code multiple access (SCMA) configuration for…

Signal Processing · Electrical Eng. & Systems 2023-03-16 Yao Ge , Lei Liu , Shunqi Huang , David González G. , Yong Liang Guan , Zhi Ding

Approximate message passing (AMP) is a low-cost iterative parameter-estimation technique for certain high-dimensional linear systems with non-Gaussian distributions. AMP only applies to independent identically distributed (IID) transform…

Information Theory · Computer Science 2022-06-24 Lei Liu , Shunqi Huang , Brian M. Kurkoski

The underwater propagation environment for visible light signals is affected by complex factors such as absorption, shadowing, and reflection, making it very challengeable to achieve effective underwater visible light communication (UVLC)…

Signal Processing · Electrical Eng. & Systems 2023-03-14 Younan Mou , Sicong Liu

Measurement samples are often taken in various monitoring applications. To reduce the sensing cost, it is desirable to achieve better sensing quality while using fewer samples. Compressive Sensing (CS) technique finds its role when the…

Information Theory · Computer Science 2016-11-18 Ying Li , Kun Xie , Xin Wang

The large bandwidth combined with ultra-massive multiple-input multiple-output (UM-MIMO) arrays enables terahertz (THz) systems to achieve terabits-per-second throughput. The THz systems are expected to operate in the near, intermediate, as…

Information Theory · Computer Science 2023-10-27 Simon Tarboush , Anum Ali , Tareq Y. Al-Naffouri

Approximate message passing (AMP) has emerged both as a popular class of iterative algorithms and as a powerful analytic tool in a wide range of statistical estimation problems and statistical physics models. A well established line of AMP…

Statistics Theory · Mathematics 2025-07-22 Zhigang Bao , Qiyang Han , Xiaocong Xu

Approximate Message Passing (AMP) algorithmshave recently gathered significant attention across disciplines such as statistical physics, machine learning, and communication systems. This study aims to extend AMP algorithms to non-symmetric…

Probability · Mathematics 2024-02-14 Mohammed-Younes Gueddari , Walid Hachem , Jamal Najim

Message-passing (MP) is a powerful tool for finding an approximate solution in optimization. We generalize it to nonlinear product-sum form, and numerically show the fast convergence for the minimum feedback vertex set and the minimum…

Physics and Society · Physics 2024-04-03 Yukio Hayashi

We consider the problem of recovering an unknown signal ${\mathbf x}\in {\mathbb R}^n$ from general nonlinear measurements obtained through a generalized linear model (GLM), i.e., ${\mathbf y}= f\left({\mathbf A}{\mathbf x}+{\mathbf…

Information Theory · Computer Science 2022-10-18 Jiang Zhu , Xiangming Meng , Xupeng Lei , Qinghua Guo

Recently, Approximate Message Passing (AMP) has been integrated with stochastic localization (diffusion model) by providing a computationally efficient estimator of the posterior mean. Existing (rigorous) analysis typically proves the…

Statistics Theory · Mathematics 2025-03-18 Han Cui , Zhiyuan Yu , Jingbo Liu

For the problem of binary linear classification and feature selection, we propose algorithmic approaches to classifier design based on the generalized approximate message passing (GAMP) algorithm, recently proposed in the context of…

Information Theory · Computer Science 2015-06-18 Justin Ziniel , Philip Schniter , Per Sederberg

This paper addresses the reconstruction of sparse signals from generalized linear measurements. Signal sparsity is assumed to be sublinear in the signal dimension while it was proportional to the signal dimension in conventional research.…

Information Theory · Computer Science 2026-04-13 Keigo Takeuchi

Message passing (MP) is a computational technique used to find approximate solutions to a variety of problems defined on networks. MP approximations are generally accurate in locally tree-like networks but require corrections to maintain…

Physics and Society · Physics 2023-09-27 George T. Cantwell , Alec Kirkley , Filippo Radicchi

Compressed sensing is a paradigm within signal processing that provides the means for recovering structured signals from linear measurements in a highly efficient manner. Originally devised for the recovery of sparse signals, it has become…

Information Theory · Computer Science 2021-12-09 Jens Eisert , Axel Flinth , Benedikt Groß , Ingo Roth , Gerhard Wunder

With a unified belief propagation (BP) and mean field (MF) framework, we propose an iterative message passing receiver, which performs joint channel state and noise precision (the reciprocal of noise variance) estimation and decoding for…

Information Theory · Computer Science 2017-11-13 Zhengdao Yuan , Chuanzong Zhang , Zhongyong Wang , Qinghua Guo , Sheng Wu , and Xingye Wang

We introduce a recursive algorithm for performing compressed sensing on streaming data. The approach consists of a) recursive encoding, where we sample the input stream via overlapping windowing and make use of the previous measurement in…

Machine Learning · Statistics 2013-12-18 Nikolaos M. Freris , Orhan Öçal , Martin Vetterli

An improved inference method for densely connected systems is presented. The approach is based on passing condensed messages between variables, representing macroscopic averages of microscopic messages. We extend previous work that showed…

Information Theory · Computer Science 2009-11-11 Juan P. Neirotti , David Saad

Reconstruction of images from noisy linear measurements is a core problem in image processing, for which convex optimization methods based on total variation (TV) minimization have been the long-standing state-of-the-art. We present an…

Information Theory · Computer Science 2016-08-31 Jean Barbier , Eric W. Tramel , Florent Krzakala

The reconstruction of sparse signals from a limited set of measurements poses a significant challenge as it necessitates a solution to an underdetermined system of linear equations. Compressed sensing (CS) deals with sparse signal…

Information Theory · Computer Science 2025-05-22 Salman Habib , Remi Chou , Taejoon Kim