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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 $N_s$…

信息论 · 计算机科学 2018-10-26 Lei Liu , Chau Yuen , Yong Liang Guan , Ying Li , Chongwen Huang

Vector Approximate Message Passing (VAMP) provides the means of solving a linear inverse problem in a Bayes-optimal way assuming the measurement operator is sufficiently random. However, VAMP requires implementing the linear minimum mean…

信息论 · 计算机科学 2022-06-23 Nikolajs Skuratovs , Mike E. Davies

This paper proves the convergence of Bayes-optimal orthogonal/vector approximate message-passing (AMP) to a fixed point in the large system limit. The proof is based on Bayes-optimal long-memory (LM) message-passing (MP) that is guaranteed…

信息论 · 计算机科学 2022-05-09 Keigo Takeuchi

MIMO-NOMA combines Multiple-Input Multiple-Output (MIMO) and Non-Orthogonal Multiple Access (NOMA), which can address heterogeneous challenges, such as massive connectivity, low latency, and high reliability. In this paper, a practical…

信息论 · 计算机科学 2018-07-19 Yuhao Chi , Lei Liu , Guanghui Song , Chau Yuen , Yong Liang Guan , Ying Li

Estimation of a vector from quantized linear measurements is a common problem for which simple linear techniques are suboptimal -- sometimes greatly so. This paper develops generalized approximate message passing (GAMP) algorithms for…

信息论 · 计算机科学 2015-03-24 Ulugbek Kamilov , Vivek K. Goyal , Sundeep Rangan

In this paper, we extend the bilinear generalized approximate message passing (BiG-AMP) approach, originally proposed for high-dimensional generalized bilinear regression, to the multi-layer case for the handling of cascaded problem such as…

信息论 · 计算机科学 2021-09-08 Qiuyun Zou , Haochuan Zhang , Hongwen Yang

Approximate Message Passing (AMP) algorithms are a class of iterative procedures for computationally-efficient estimation in high-dimensional inference and estimation tasks. Due to the presence of an 'Onsager' correction term in its…

统计理论 · 数学 2023-02-02 Collin Cademartori , Cynthia Rush

Sparse superposition codes were originally proposed as a capacity-achieving communication scheme over the gaussian channel, whose coding matrices were made of i.i.d. gaussian entries.We extend this coding scheme to more generic ensembles of…

信息论 · 计算机科学 2022-05-27 TianQi Hou , YuHao Liu , Teng Fu , Jean Barbier

Gaussian and quadratic approximations of message passing algorithms on graphs have attracted considerable recent attention due to their computational simplicity, analytic tractability, and wide applicability in optimization and statistical…

信息论 · 计算机科学 2026-03-12 Sundeep Rangan , Alyson K. Fletcher , Vivek K. Goyal , Evan Byrne , Philip Schniter

Solving a large-scale regularized linear inverse problem using multiple processors is important in various real-world applications due to the limitations of individual processors and constraints on data sharing policies. This paper focuses…

信息论 · 计算机科学 2017-01-31 Yanting Ma , Yue M. Lu , Dror Baron

Approximate Message Passing (AMP) is a general framework for iterative algorithms, originally developed for compressed sensing and later extended to a wide range of high-dimensional inference problems. Although recent work has advanced…

信号处理 · 电气工程与系统科学 2026-04-24 Vishnu Teja Kunde , Alessandro Mirri , Jean-Francois Chamberland , Enrico Paolini

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…

统计理论 · 数学 2025-07-22 Zhigang Bao , Qiyang Han , Xiaocong Xu

This paper studies the receive antenna selection in massive multiple-input multiple-output (MIMO) system. The receiver, equipped with a large-scale antenna array whose size is much larger than that of the transmitter, selects a subset of…

信号处理 · 电气工程与系统科学 2018-10-30 Chongjun Ouyang , Zeliang Ou , Lu Zhang , Hongwen Yang

In this paper, we investigate the performance of cell-free massive MIMO systems with massive connectivity. With the generalized approximate message passing (GAMP) algorithm, we obtain the minimum mean-squared error (MMSE) estimate of the…

信息论 · 计算机科学 2021-05-17 Mangqing Guo , M. Cenk Gursoy

In massive multiple-input multiple-output (MIMO) systems, achieving high spectral efficiency (SE) often requires advanced precoding algorithms whose complexity scales rapidly with the number of antennas, limiting practical deployment. In…

信号处理 · 电气工程与系统科学 2026-03-13 Seunghyeong Yoo , Mintaek Oh , Jeonghun Park , Namyoon Lee , Jinseok Choi

The estimation of a random vector with independent components passed through a linear transform followed by a componentwise (possibly nonlinear) output map arises in a range of applications. Approximate message passing (AMP) methods, based…

信息论 · 计算机科学 2016-05-03 Sundeep Rangan , Philip Schniter , Erwin Riegler , Alyson Fletcher , Volkan Cevher

The generalized approximate message passing (GAMP) algorithm under the Bayesian setting shows advantage in recovering under-sampled sparse signals from corrupted observations. Compared to conventional convex optimization methods, it has a…

信息论 · 计算机科学 2017-01-12 Shuai Huang , Trac D. Tran

We study a class of Approximate Message Passing (AMP) algorithms for symmetric and rectangular spiked random matrix models with orthogonally invariant noise. The AMP iterates have fixed dimension $K \geq 1$, a multivariate non-linearity is…

统计理论 · 数学 2024-06-14 Xinyi Zhong , Tianhao Wang , Zhou Fan

Consider the problem of estimating a low-rank matrix when its entries are perturbed by Gaussian noise. If the empirical distribution of the entries of the spikes is known, optimal estimators that exploit this knowledge can substantially…

统计理论 · 数学 2019-08-08 Andrea Montanari , Ramji Venkataramanan

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…

信息论 · 计算机科学 2015-06-18 Justin Ziniel , Philip Schniter , Per Sederberg