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We consider the downlink of a cell-free massive multiple-input multiple-output (MIMO) system with \textcolor{red}{single}-antenna access points (APs) and single-antenna users. An iterative robust minimum mean-square error (RMMSE) precoder…

Information Theory · Computer Science 2021-04-21 V. M. T. Palhares , A. Flores , R. C. de Lamare

Approximate Message Passing (AMP) algorithms enable precise characterization of certain classes of random objects in the high-dimensional limit, and have found widespread applications in fields such as signal processing, statistics, and…

Statistics Theory · Mathematics 2025-07-01 Longlin Wang , Yanke Song , Kuanhao Jiang , Pragya Sur

We propose a tensor generalized approximate message passing (TeG-AMP) algorithm for low-rank tensor inference, which can be used to solve tensor completion and decomposition problems. We derive TeG-AMP algorithm as an approximation of the…

Machine Learning · Computer Science 2025-04-02 Yinchuan Li , Guangchen Lan , Xiaodong Wang

The standard linear regression (SLR) problem is to recover a vector $\mathbf{x}^0$ from noisy linear observations $\mathbf{y}=\mathbf{Ax}^0+\mathbf{w}$. The approximate message passing (AMP) algorithm recently proposed by Donoho, Maleki,…

Information Theory · Computer Science 2018-07-24 Sundeep Rangan , Philip Schniter , Alyson K. Fletcher

For the problem of multi-class linear classification and feature selection, we propose approximate message passing approaches to sparse multinomial logistic regression (MLR). First, we propose two algorithms based on the Hybrid Generalized…

Information Theory · Computer Science 2016-09-21 Evan Byrne , Philip Schniter

The problem of estimating a random vector x from noisy linear measurements y = A x + w with unknown parameters on the distributions of x and w, which must also be learned, arises in a wide range of statistical learning and linear inverse…

Information Theory · Computer Science 2017-06-20 Alyson K. Fletcher , Mojtaba Sahraee-Ardakan , Philip Schniter , Sundeep Rangan

Efficient massive/ultra-massive multiple-input multiple-output (MIMO) detection algorithms with satisfactory performance and low complexity are critical to meet the high throughput and ultra-low latency requirements in 5G and beyond…

Information Theory · Computer Science 2023-01-10 Hengtao He , Alva Kosasih , Xianghao Yu , Jun Zhang , S. H. Song , Wibowo Hardjawana , Khaled B. Letaief

1-bit compressive sensing aims to recover sparse signals from quantized 1-bit measurements. Designing efficient approaches that could handle noisy 1-bit measurements is important in a variety of applications. In this paper we use the…

Information Theory · Computer Science 2022-04-28 Shuai Huang , Trac D. Tran

Approximate message-passing (AMP) method is a simple and efficient framework for the linear inverse problems. In this letter, we propose a faster AMP to solve the \emph{$L_1$-Split-Analysis} for the 2D sparsity separation, which is referred…

Information Theory · Computer Science 2015-07-13 Jaewook Kang , Hyoyoung Jung , Kiseon Kim

In this paper we consider Basis Pursuit De-Noising (BPDN) problems in which the sparse original signal is drawn from a finite alphabet. To solve this problem we propose an iterative message passing algorithm, which capitalises not only on…

Information Theory · Computer Science 2016-11-17 Andreas Muller , Dino Sejdinovic , Robert Piechocki

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

We introduce an iterative optimization scheme for convex objectives consisting of a linear loss and a non-separable penalty, based on the expectation-consistent approximation and the vector approximate message-passing (VAMP) algorithm.…

Machine Learning · Statistics 2018-09-18 Andre Manoel , Florent Krzakala , Gaël Varoquaux , Bertrand Thirion , Lenka Zdeborová

In this paper, we consider the design of robust linear precoders for MU-MISO systems where users have perfect Channel State Information (CSI) while the BS has partial CSI. In particular, the BS has access to imperfect estimates of the…

Information Theory · Computer Science 2016-11-15 Hamdi Joudeh , Bruno Clerckx

Sparse coding refers to the pursuit of the sparsest representation of a signal in a typically overcomplete dictionary. From a Bayesian perspective, sparse coding provides a Maximum a Posteriori (MAP) estimate of the unknown vector under a…

Signal Processing · Electrical Eng. & Systems 2019-09-04 Dror Simon , Jeremias Sulam , Yaniv Romano , Yue M. Lu , Michael Elad

Nonlinear precoding and pulse shaping are jointly considered in multi-user massive multiple-input multiple-output (MIMO) systems with low-resolution D/A-converters (DACs) in terms of algorithmic approach as well as large system performance.…

Information Theory · Computer Science 2021-06-29 Amine Mezghani , Robert W. Heath

This paper considers a low-complexity Gaussian Message Passing Iterative Detection (GMPID) algorithm for massive Multiuser Multiple-Input Multiple-Output (MU-MIMO) system, in which a base station with $M$ antennas serves $K$ Gaussian…

Information Theory · Computer Science 2016-11-17 Lei Liu , Chau Yuen , Yong Liang Guan , Ying Li , Yuping Su

This paper investigates covert prompt transmission for secure and efficient large language model (LLM) services over wireless networks. We formulate a latency minimization problem under fidelity and detectability constraints to ensure…

Networking and Internet Architecture · Computer Science 2025-05-01 Ruichen Zhang , Yinqiu Liu , Shunpu Tang , Jiacheng Wang , Dusit Niyato , Geng Sun , Yonghui Li , Sumei Sun

The generalized approximate message passing (GAMP) algorithm is an efficient method of MAP or approximate-MMSE estimation of $x$ observed from a noisy version of the transform coefficients $z = Ax$. In fact, for large zero-mean i.i.d…

Information Theory · Computer Science 2015-08-11 Jeremy Vila , Philip Schniter , Sundeep Rangan , Florent Krzakala , Lenka Zdeborova

Invariable step size based least-mean-square error (ISS-LMS) was considered as a very simple adaptive filtering algorithm and hence it has been widely utilized in many applications, such as adaptive channel estimation. It is well known that…

Information Theory · Computer Science 2015-01-29 Beiyi Liu , Guan Gui , Li Xu , Nobuhiro Shimoi

We consider the problem of reconstructing the signal and the hidden variables from observations coming from a multi-layer network with rotationally invariant weight matrices. The multi-layer structure models inference from deep generative…

Machine Learning · Statistics 2022-12-06 Yizhou Xu , TianQi Hou , ShanSuo Liang , Marco Mondelli
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