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Approximate message passing (AMP) emerges as an effective iterative paradigm for solving high-dimensional statistical problems. However, prior AMP theory -- which focused mostly on high-dimensional asymptotics -- fell short of predicting…

Statistics Theory · Mathematics 2023-03-20 Gen Li , Yuting Wei

Deep generative priors are a powerful tool for reconstruction problems with complex data such as images and text. Inverse problems using such models require solving an inference problem of estimating the input and hidden units of the…

Information Theory · Computer Science 2019-03-05 Parthe Pandit , Mojtaba Sahraee , Sundeep Rangan , Alyson K. Fletcher

We study the problem of regression in a generalized linear model (GLM) with multiple signals and latent variables. This model, which we call a matrix GLM, covers many widely studied problems in statistical learning, including mixed linear…

Machine Learning · Statistics 2024-04-10 Nelvin Tan , Ramji Venkataramanan

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

Quantitative Acoustic Microscopy (QAM) is an imaging technology utilising high frequency ultrasound to produce quantitative two-dimensional (2D) maps of acoustical and mechanical properties of biological tissue at microscopy scale.…

Image and Video Processing · Electrical Eng. & Systems 2024-09-23 Odysseas Pappas , Jonathan Mamou , Adrian Basarab , Denis Kouame , Alin Achim

To support complex communication scenarios in next-generation wireless communications, this paper focuses on a generalized MIMO (GMIMO) with practical assumptions, such as massive antennas, practical channel coding, arbitrary input…

Information Theory · Computer Science 2023-11-08 Yufei Chen , Lei Liu , Yuhao Chi , Ying Li , Zhaoyang Zhang

We extend the generalized approximate message passing (G-AMP) approach, originally proposed for high-dimensional generalized-linear regression in the context of compressive sensing, to the generalized-bilinear case, which enables its…

Information Theory · Computer Science 2015-06-17 Jason T. Parker , Philip Schniter , Volkan Cevher

In this work, a Bayesian approximate message passing algorithm is proposed for solving the multiple measurement vector (MMV) problem in compressive sensing, in which a collection of sparse signal vectors that share a common support are…

Information Theory · Computer Science 2013-01-29 Justin Ziniel , Philip Schniter

Approximate message passing (AMP) methods have gained recent traction in sparse signal recovery. Additional information about the signal, or \emph{side information} (SI), is commonly available and can aid in efficient signal recovery. This…

Information Theory · Computer Science 2019-05-06 Anna Ma , You , Zhou , Cynthia Rush , Dror Baron , Deanna Needell

In this work we aim to solve the compressed sensing problem for the case of a complex unknown vector by utilizing the Bayesian-optimal structured signal approximate message passing (BOSSAMP) algorithm on the jointly sparse real and…

Information Theory · Computer Science 2015-11-30 Gabor Hannak , Martin Mayer , Gerald Matz , Norbert Goertz

In this paper, we propose a deep learning aided list approximate message passing (AMP) algorithm to further improve the user identification performance in massive machine type communications. A neural network is employed to identify a…

Information Theory · Computer Science 2019-07-24 Bryan Liu , Zhiqiang Wei , Jinhong Yuan , Milutin Pajovic

Approximate Message Passing (AMP), originally designed to solve high-dimensional linear inverse problems, has found broad applications in signal processing and statistical inference. Among its key variants, Vector Approximate Message…

Information Theory · Computer Science 2024-10-29 Qun Chen , Haochuan Zhang , Huimin Zhu

Distributed deep learning (DDL) systems strongly depend on network performance. Current electronic packet switched (EPS) network architectures and technologies suffer from variable diameter topologies, low-bisection bandwidth and…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-02-27 Alessandro Ottino , Joshua Benjamin , Georgios Zervas

Approximate message passing (AMP) type algorithms have been widely used in the signal reconstruction of certain large random linear systems. A key feature of the AMP-type algorithms is that their dynamics can be correctly described by state…

Information Theory · Computer Science 2023-07-03 Lei Liu , Shunqi Huang , YuZhi Yang , Zhaoyang Zhang , Brian M. Kurkoski

Multiple-Input Multiple-Output (MIMO) systems are essential for wireless communications. Sinceclassical algorithms for symbol detection in MIMO setups require large computational resourcesor provide poor results, data-driven algorithms are…

Information Theory · Computer Science 2023-03-15 Alexander Fuchs , Christian Knoll , Nima N. Moghadam , Alexey Pak Jinliang Huang , Erik Leitinger , Franz Pernkopf

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

Most existing studies on joint activity detection and channel estimation for grant-free massive random access (RA) systems assume perfect synchronization among all active users, which is hard to achieve in practice. Therefore, this paper…

Signal Processing · Electrical Eng. & Systems 2023-05-23 Xinyu Bian , Yuyi Mao , Jun Zhang

We consider the problem of jointly recovering the vector $\boldsymbol{b}$ and the matrix $\boldsymbol{C}$ from noisy measurements $\boldsymbol{Y} = \boldsymbol{A}(\boldsymbol{b})\boldsymbol{C} + \boldsymbol{W}$, where…

Information Theory · Computer Science 2019-06-26 Subrata Sarkar , Alyson K. Fletcher , Sundeep Rangan , Philip Schniter

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

In this work the dynamic compressive sensing (CS) problem of recovering sparse, correlated, time-varying signals from sub-Nyquist, non-adaptive, linear measurements is explored from a Bayesian perspective. While there has been a handful of…

Information Theory · Computer Science 2015-06-05 Justin Ziniel , Philip Schniter
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