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This paper considers a discrete-valued signal estimation scheme based on a low-complexity Bayesian optimal message passing algorithm (MPA) for solving massive linear inverse problems under highly correlated measurements. Gaussian belief…

Signal Processing · Electrical Eng. & Systems 2024-11-14 Tomoharu Furudoi , Takumi Takahashi , Shinsuke Ibi , Hideki Ochiai

In this paper, we consider the problem of multi-resolution compressed sensing (MR-CS) reconstruction, which has received little attention in the literature. Instead of always reconstructing the signal at the original high resolution (HR),…

Information Theory · Computer Science 2016-01-21 Xing Wang , Jie Liang

Identifying the start time of a sequence of symbols received at the receiver, commonly referred to as \emph{frame synchronization}, is a critical task for achieving good performance in digital communications systems employing…

Signal Processing · Electrical Eng. & Systems 2020-07-14 Oren Kolaman , Ron Dabora

In this project, the behavior of Generalized Approximate Message-Passing Decoder for BSC and Z Channel is studied using i.i.d matrices for constructing the codewords. The performance of GAMP in AWGN Channel is already evaluated in the…

Information Theory · Computer Science 2017-12-05 Alper Kose , Berke Aral Sonmez

We consider an extension of the massive unsourced random access originally proposed by Polyanskiy to the case where the receiver has a very large number of antennas (a massive MIMO base station) and no channel state information is given to…

Information Theory · Computer Science 2019-01-04 Alexander Fengler , Giuseppe Caire , Peter Jung , Saeid Haghighatshoar

We consider tensor factorizations using a generative model and a Bayesian approach. We compute rigorously the mutual information, the Minimal Mean Squared Error (MMSE), and unveil information-theoretic phase transitions. In addition, we…

Statistics Theory · Mathematics 2020-01-22 Thibault Lesieur , Léo Miolane , Marc Lelarge , Florent Krzakala , Lenka Zdeborová

We propose a novel approximate inference algorithm that approximates a target distribution by amortising the dynamics of a user-selected MCMC sampler. The idea is to initialise MCMC using samples from an approximation network, apply the…

Machine Learning · Statistics 2017-05-23 Yingzhen Li , Richard E. Turner , Qiang Liu

We study optimal estimation for sparse principal component analysis when the number of non-zero elements is small but on the same order as the dimension of the data. We employ approximate message passing (AMP) algorithm and its state…

Information Theory · Computer Science 2020-01-22 Thibault Lesieur , Florent Krzakala , Lenka Zdeborova

Sparse superposition (SS) codes were originally proposed as a capacity-achieving communication scheme over the additive white Gaussian noise channel (AWGNC) [1]. Very recently, it was discovered that these codes are universal, in the sense…

Information Theory · Computer Science 2020-06-05 Erdem Biyik , Jean Barbier , Mohamad Dia

Both theoretical analysis and empirical evidence confirm that the approximate message passing (AMP) algorithm can be interpreted as recursively solving a signal denoising problem: at each AMP iteration, one observes a Gaussian noise…

Information Theory · Computer Science 2015-06-22 Chunli Guo , Mike E. Davies

In order to reduce hardware complexity and power consumption, massive multiple-input multiple-output (MIMO) systems employ low-resolution analog-to-digital converters (ADCs) to acquire quantized measurements $\boldsymbol y$. This poses new…

Information Theory · Computer Science 2021-02-12 Shuai Huang , Deqiang Qiu , Trac D. Tran

This paper considers the Gaussian multiple-access channel (MAC) in the asymptotic regime where the number of users grows linearly with the code length. We propose efficient coding schemes based on random linear models with approximate…

Information Theory · Computer Science 2022-05-04 Kuan Hsieh , Cynthia Rush , Ramji Venkataramanan

Approximate message passing is an iterative algorithm for compressed sensing and related applications. A solid theory about the performance and convergence of the algorithm exists for measurement matrices having iid entries of zero mean.…

Information Theory · Computer Science 2014-10-03 Francesco Caltagirone , Florent Krzakala , Lenka Zdeborová

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 introduce the bilinear generalized vector approximate message passing (BiG-VAMP) algorithm which jointly recovers two matrices U and V from their noisy product through a probabilistic observation model. BiG-VAMP provides computationally…

Information Theory · Computer Science 2020-09-16 Mohamed Akrout , Anis Housseini , Faouzi Bellili , Amine Mezghani

We consider message and time efficient broadcasting and multi-broadcasting in wireless ad-hoc networks, where a subset of nodes, each with a unique rumor, wish to broadcast their rumors to all destinations while minimizing the total number…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-10-21 Liron Levin , Dariusz R. Kowalski , Michael Segal

We propose a scheme to estimate the parameters $b_i$ and $c_j$ of the bilinear form $z_m=\sum_{i,j} b_i z_m^{(i,j)} c_j$ from noisy measurements $\{y_m\}_{m=1}^M$, where $y_m$ and $z_m$ are related through an arbitrary likelihood function…

Information Theory · Computer Science 2016-05-25 Jason T. Parker , Philip Schniter

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

Message-passing (MP) is a powerful tool for finding an approximate solution in optimization. We generalize it to nonlinear product-sum form, and numerically show the fast convergence for the minimum feedback vertex set and the minimum…

Physics and Society · Physics 2024-04-03 Yukio Hayashi

We investigate the asynchronous multiple user access communication in optical wireless scattering communication, where different users transmit signals without perfect alignment in the time domain. Firstly, we characterize the received…

Signal Processing · Electrical Eng. & Systems 2019-01-23 Guanchu Wang , Chen Gong , Zhimeng Jiang , Zhengyuan Xu
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