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Approximate message passing (AMP) is a low-cost iterative parameter-estimation technique for certain high-dimensional linear systems with non-Gaussian distributions. AMP only applies to independent identically distributed (IID) transform…

Information Theory · Computer Science 2022-06-24 Lei Liu , Shunqi Huang , Brian M. Kurkoski

In future wireless networks, one fundamental challenge for massive machine-type communications (mMTC) lies in the reliable support of massive connectivity with low latency. Against this background, this paper proposes a compressive sensing…

Information Theory · Computer Science 2018-09-13 Malong Ke , Zhen Gao , Yongpeng Wu , Xiangming Meng

We consider the problem of recovering clustered sparse signals with no prior knowledge of the sparsity pattern. Beyond simple sparsity, signals of interest often exhibits an underlying sparsity pattern which, if leveraged, can improve the…

Information Theory · Computer Science 2016-01-05 Xiangming Meng , Sheng Wu , Linling Kuang , Defeng , Huang , Jianhua Lu

The Approximate Message Passing (AMP) algorithm efficiently reconstructs signals which have been sampled with large i.i.d. sub-Gaussian sensing matrices. Central to AMP is its "state evolution", which guarantees that the difference between…

Signal Processing · Electrical Eng. & Systems 2020-09-08 Charles Millard , Aaron T Hess , Boris Mailhé , Jared Tanner

This paper proposes two distinct contributions to econometric analysis of large information sets and structural instabilities. First, it treats a regression model with time-varying coefficients, stochastic volatility and exogenous…

Methodology · Statistics 2020-04-27 Dimitris Korobilis

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

Motivated by applications to multi-antenna wireless networks, we propose a distributed and asynchronous algorithm for stochastic semidefinite programming. This algorithm is a stochastic approximation of a continous- time matrix exponential…

Optimization and Control · Mathematics 2016-06-15 Bruno Gaujal , Panayotis Mertikopoulos

Approximate Message Passing (AMP) type algorithms are widely used for signal recovery in high-dimensional noisy linear systems. Recently, a principle called Memory AMP (MAMP) was proposed. Leveraging this principle, the gradient descent…

Information Theory · Computer Science 2026-01-01 Shunqi Huang , Lei Liu , Brian M. Kurkoski

In this paper, we present structured message passing (SMP), a unifying framework for approximate inference algorithms that take advantage of structured representations such as algebraic decision diagrams and sparse hash tables. These…

Artificial Intelligence · Computer Science 2013-09-27 Vibhav Gogate , Pedro Domingos

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

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

In this paper, we propose a practical receiver for multicarrier signals subjected to a strong memoryless nonlinearity. The receiver design is based on a generalized approximate message passing (GAMP) framework, and this allows real-time…

Information Theory · Computer Science 2017-03-07 Sergey V. Zhidkov

A new message-passing (MP) method is considered for the matrix completion problem associated with recommender systems. We attack the problem using a (generative) factor graph model that is related to a probabilistic low-rank matrix…

Information Theory · Computer Science 2010-07-06 Byung-Hak Kim , Arvind Yedla , Henry D. Pfister

The sparse Beyesian learning (also referred to as Bayesian compressed sensing) algorithm is one of the most popular approaches for sparse signal recovery, and has demonstrated superior performance in a series of experiments. Nevertheless,…

Information Theory · Computer Science 2015-01-21 Fuwei Li , Jun Fang , Huiping Duan , Zhi Chen , Hongbin Li

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

Practical systems often suffer from hardware impairments that already appear during signal generation. Despite the limiting effect of such input-noise impairments on signal processing systems, they are routinely ignored in the literature.…

Signal Processing · Electrical Eng. & Systems 2021-10-04 Ramina Ghods , Charles Jeon , Arian Maleki , Christoph Studer

In this paper, we study a spiked Wigner problem with an inhomogeneous noise profile. Our aim in this problem is to recover the signal passed through an inhomogeneous low-rank matrix channel. While the information-theoretic performances are…

Machine Learning · Statistics 2023-02-15 Aleksandr Pak , Justin Ko , Florent Krzakala

Embeddings are a basic initial feature extraction step in many machine learning models, particularly in natural language processing. An embedding attempts to map data tokens to a low-dimensional space where similar tokens are mapped to…

Machine Learning · Computer Science 2025-04-10 Golara Ahmadi Azar , Melika Emami , Alyson Fletcher , Sundeep Rangan

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…

Information Theory · Computer Science 2022-05-27 TianQi Hou , YuHao Liu , Teng Fu , Jean Barbier

We consider the problem of shared randomness-assisted multiple access channel (MAC) simulation for product inputs and characterize the one-shot communication cost region via almost-matching inner and outer bounds in terms of the smooth…

Information Theory · Computer Science 2026-03-26 Aditya Nema , Sreejith Sreekumar , Mario Berta