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This paper introduces a framework for approximate message passing (AMP) in dynamic settings where the data at each iteration is passed through a linear operator. This framework is motivated in part by applications in large-scale,…

Statistics Theory · Mathematics 2026-01-19 Riccardo Rossetti , Bobak Nazer , Galen Reeves

In this paper, an efficient distributed approach for implementing the approximate message passing (AMP) algorithm, named distributed AMP (DAMP), is developed for compressed sensing (CS) recovery in sensor networks with the sparsity K…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-05-26 Puxiao Han , Ruixin Niu , Mengqi Ren

Coded caching leverages the differences in user cache memories to achieve gains that scale with the total cache size, alleviating network congestion due to high-quality content requests. Additionally, distributing transmitters over a wide…

Information Theory · Computer Science 2025-05-05 Kagan Akcay , Eleftherios Lampiris , MohammadJavad Salehi , Giuseppe Caire

Compute-forward multiple access (CFMA) is a multiple access transmission scheme based on Compute-and-Forward (CF) which allows the receiver to first decode linear combinations of the transmitted signals and then solve for individual…

Information Theory · Computer Science 2023-05-29 Lanwei Zhang , Jamie Evans , Jingge Zhu

Superposition codes are efficient for the Additive White Gaussian Noise channel. We provide here a replica analysis of the performances of these codes for large signals. We also consider a Bayesian Approximate Message Passing decoder based…

Information Theory · Computer Science 2014-10-03 Jean Barbier , Florent Krzakala

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 the approximate message passing (AMP) algorithm. Under…

Information Theory · Computer Science 2021-06-07 Lei Liu , Chulong Liang , Junjie Ma , Li Ping

Sparse superposition codes, or sparse regression codes (SPARCs), are a recent class of codes for reliable communication over the AWGN channel at rates approaching the channel capacity. Approximate message passing (AMP) decoding, a…

Information Theory · Computer Science 2019-04-24 Cynthia Rush , Ramji Venkataramanan

This paper considers massive access in massive multiple-input multiple-output (MIMO) systems and proposes an adaptive active user detection and channel estimation scheme based on compressive sensing. By exploiting the sporadic traffic of…

Signal Processing · Electrical Eng. & Systems 2020-08-04 Malong Ke , Zhen Gao , Yongpeng Wu , Xiqi Gao , Robert Schober

This paper considers a low-complexity Gaussian Message Passing (GMP) scheme for a coded massive Multiple-Input Multiple-Output (MIMO) systems with Non-Orthogonal Multiple Access (massive MIMO-NOMA), in which a base station with $N_s$…

Information Theory · Computer Science 2018-10-26 Lei Liu , Chau Yuen , Yong Liang Guan , Ying Li , Chongwen Huang

X-ray Computed Tomography (CT) reconstruction from a sparse number of views is a useful way to reduce either the radiation dose or the acquisition time, for example in fixed-gantry CT systems, however this results in an ill-posed inverse…

Data Structures and Algorithms · Computer Science 2020-11-04 Alessandro Perelli , Michael Lexa , Ali Can , Mike E. Davies

This paper studies the affine frequency division multiplexing (AFDM)-empowered sparse code multiple access (SCMA) system, referred to as AFDM-SCMA, for supporting massive connectivity in high-mobility environments. First, by placing the…

Information Theory · Computer Science 2024-06-12 Qu Luo , Pei Xiao , Zilong Liu , Ziwei Wan , Thomos Nikolaos , Zhen Gao , Ziming He

In a recent paper, the authors proposed a new class of low-complexity iterative thresholding algorithms for reconstructing sparse signals from a small set of linear measurements \cite{DMM}. The new algorithms are broadly referred to as AMP,…

Information Theory · Computer Science 2009-11-24 David L. Donoho , Arian Maleki , Andrea Montanari

Generalised approximate message passing (GAMP) is an approximate Bayesian estimation algorithm for signals observed through a linear transform with a possibly non-linear subsequent measurement model. By leveraging prior information about…

Signal Processing · Electrical Eng. & Systems 2018-12-05 Christian Schou Oxvig , Thomas Arildsen

The ubiquity of approximately sparse data has led a variety of com- munities to great interest in compressed sensing algorithms. Although these are very successful and well understood for linear measurements with additive noise, applying…

Information Theory · Computer Science 2016-07-27 Christophe Schülke , Francesco Caltagirone , Lenka Zdeborová

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

This paper proposes a fast approximate message-passing (AMP) algorithm for solving compressed sensing (CS) recovery problems with 1D-finite-difference sparsity in term of MMSE estimation. The proposed algorithm, named ssAMP-BGFD, is…

Information Theory · Computer Science 2015-09-07 Jaewook Kang , Hyoyoung Jung , Heung-No Lee , Kiseon Kim

Effective capacity, which provides the maximum constant arrival rate that a given service process can support while satisfying statistical delay constraints, is analyzed in a multiuser scenario. In particular, the effective capacity region…

Information Theory · Computer Science 2010-09-17 Deli Qiao , Mustafa Cenk Gursoy , Senem Velipasalar

Sparse code multiple access (SCMA) is a new frequency domain non-orthogonal multiple-access technique which can improve spectral efficiency of wireless radio access. With SCMA, different incoming data streams are directly mapped to…

Information Theory · Computer Science 2016-11-18 Hosein Nikopour , Eric Yi , Alireza Bayesteh , Kelvin Au , Mark Hawryluck , Hadi Baligh , Jianglei Ma

Compressed sensing (CS) deals with the problem of reconstructing a sparse vector from an under-determined set of observations. Approximate message passing (AMP) is a technique used in CS based on iterative thresholding and inspired by…

Signal Processing · Electrical Eng. & Systems 2019-07-12 Viktoria Schram , Ali Bereyhi , Jan-Nico Zaech , Ralf R. Müller , Wolfgang H. Gerstacker

Code Division Multiple Access (CDMA) in which the spreading code assignment to users contains a random element has recently become a cornerstone of CDMA research. The random element in the construction is particular attractive as it…

Disordered Systems and Neural Networks · Physics 2015-05-13 Jack Raymond , David Saad