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Recently, several promising approximate message passing (AMP) based algorithms have been developed for bilinear recovery with model $\boldsymbol{Y}=\sum_{k=1}^K b_k \boldsymbol{A}_k \boldsymbol{C} +\boldsymbol{W} $, where $\{b_k\}$ and…

Information Theory · Computer Science 2021-02-24 Zhengdao Yuan , Qinghua Guo , Man Luo

We consider the problem of parameter estimation from a generalized linear model with a random design matrix that is orthogonally invariant in law. Such a model allows the design have an arbitrary distribution of singular values and only…

Statistics Theory · Mathematics 2026-02-11 Yihan Zhang , Hong Chang Ji , Ramji Venkataramanan , Marco Mondelli

Channel estimation and signal detection are very challenging for an orthogonal frequency division multiplexing (OFDM) system without cyclic prefix (CP). In this article, deep learning based on orthogonal approximate message passing…

Signal Processing · Electrical Eng. & Systems 2019-05-08 Jing Zhang , Hengtao He , Chao-Kai Wen , Shi Jin , Geoffrey Ye Li

Approximate message passing (AMP) is an effective iterative sparse recovery algorithm for linear system models. Its performance is characterized by the state evolution (SE) which is a simple scalar recursion. However, depending on a…

Signal Processing · Electrical Eng. & Systems 2018-04-02 Kazushi Mimura

In this paper, we address the problem of recovering complex-valued signals from a set of complex-valued linear measurements. Approximate message passing (AMP) is one state-of-the-art algorithm to recover real-valued sparse signals. However,…

Information Theory · Computer Science 2016-01-26 Xiangming Meng , Sheng Wu , Linling Kuang , Jianhua Lu

Accurate parameter estimation such as angle of arrival (AOA) is essential to enhance the performance of integrated sensing and communication (ISAC) in mmWave multiple-input multiple-output (MIMO) systems. This work presents a sensing-aided…

Information Theory · Computer Science 2025-03-05 Ngoc-Son Duong , Khac-Hoang Ngo , Thai-Mai Dinh , Van-Linh Nguyen

The orthogonal-time-frequency-space (OTFS) modulation has emerged as a promising modulation scheme for high mobility wireless communications. To harvest the time and frequency diversity promised by OTFS, some promising detectors, especially…

Information Theory · Computer Science 2021-02-17 Zhengdao Yuan , Fei Liu , Weijie Yuan , Qinghua Guo , Zhongyong Wang , Jinhong Yuan

Approximate message passing (AMP) refers to a class of efficient algorithms for statistical estimation in high-dimensional problems such as compressed sensing and low-rank matrix estimation. This paper analyzes the performance of AMP in the…

Information Theory · Computer Science 2018-10-23 Cynthia Rush , Ramji Venkataramanan

This article addresses the problem of multiple preamble detection in random access systems based on orthogonal time frequency space (OTFS) signaling. This challenge is formulated as a structured sparse recovery problem in the complex…

Signal Processing · Electrical Eng. & Systems 2025-09-05 Alessandro Mirri , Vishnu Teja Kunde , Enrico Paolini , Jean-Francois Chamberland

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

This paper addresses the reconstruction of an unknown signal vector with sublinear sparsity from generalized linear measurements. Generalized approximate message-passing (GAMP) is proposed via state evolution in the sublinear sparsity…

Information Theory · Computer Science 2025-02-21 Keigo Takeuchi

The orthogonal matching pursuit (OMP) algorithm is a commonly used algorithm for recovering $K$-sparse signals $\x\in \mathbb{R}^{n}$ from linear model $\y=\A\x$, where $\A\in \mathbb{R}^{m\times n}$ is a sensing matrix. A fundamental…

Information Theory · Computer Science 2019-04-23 Jinming Wen , Wei Yu

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

Decentralized generalized approximate message-passing (GAMP) is proposed for compressed sensing from distributed generalized linear measurements in a tree-structured network. Consensus propagation is used to realize average consensus…

Information Theory · Computer Science 2024-06-05 Keigo Takeuchi

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

This paper investigates a large unitarily invariant system (LUIS) involving a unitarily invariant sensing matrix, an arbitrary fixed signal distribution, and forward error control (FEC) coding. Several area properties are established based…

Information Theory · Computer Science 2022-06-24 Lei Liu , Shansuo Liang , Li Ping

A common goal in many research areas is to reconstruct an unknown signal x from noisy linear measurements. Approximate message passing (AMP) is a class of low-complexity algorithms for efficiently solving such high-dimensional regression…

Information Theory · Computer Science 2019-05-07 Hangjin Liu , Cynthia Rush , Dror Baron

A common goal in many research areas is to reconstruct an unknown signal x from noisy linear measurements. Approximate message passing (AMP) is a class of low-complexity algorithms that can be used for efficiently solving such…

Signal Processing · Electrical Eng. & Systems 2020-03-27 Hangjin Liu , Cynthia Rush , Dror Baron

Approximate message passing (AMP) algorithms are iterative methods for signal recovery in noisy linear systems. In some scenarios, AMP algorithms need to operate within a distributed network. To address this challenge, the distributed…

Signal Processing · Electrical Eng. & Systems 2024-07-26 Jun Lu , Lei Liu , Shunqi Huang , Ning Wei , Xiaoming Chen

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…

Information Theory · Computer Science 2021-09-08 Qiuyun Zou , Haochuan Zhang , Hongwen Yang