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We consider the problem of estimating a signal from measurements obtained via a generalized linear model. We focus on estimators based on approximate message passing (AMP), a family of iterative algorithms with many appealing features: the…

Machine Learning · Statistics 2021-02-18 Marco Mondelli , Ramji Venkataramanan

Iterative information processing, either based on heuristics or analytical frameworks, has been shown to be a very powerful tool for the design of efficient, yet feasible, wireless receiver architectures. Within this context, algorithms…

Mean-field characterizations of first-order iterative algorithms -- including Approximate Message Passing (AMP), stochastic and proximal gradient descent, and Langevin diffusions -- have enabled a precise understanding of learning dynamics…

Statistics Theory · Mathematics 2025-07-01 Max Lovig , Tianhao Wang , Zhou Fan

In this paper, we study the achievable rate region of Gaussian multiuser channels with the messages transmitted being from finite input alphabets and the outputs being {\em quantized at the receiver}. In particular, we focus on the…

Information Theory · Computer Science 2011-02-15 Suresh Chandrasekaran , Saif K. Mohammed , A. Chockalingam

In this work we propose a novel iterative estimation algorithm for linear observation systems called S-AMP whose fixed points are the stationary points of the exact Gibbs free energy under a set of (first- and second-) moment consistency…

Information Theory · Computer Science 2014-05-13 Burak Çakmak , Ole Winther , Bernard H. Fleury

Unequal error protection (UEP) codes can facilitate the transmission of messages with different protection levels. In this paper, we study the achievability bounds on UEP by the generalization of Gilbert-Varshamov (GV) bound. For the first…

Information Theory · Computer Science 2024-08-15 Liuquan Yao , Shuai Yuan , Yuan Li , Huazi Zhang , Jun Wang , Guiying Yan , Zhiming Ma

In this paper, we propose a modified Generalized Approximate Message Passing (GAMP) algorithm to estimate permittivity parameters using path loss data in ray-tracing model.

Signal Processing · Electrical Eng. & Systems 2024-02-15 Yuanhao Jiang , Shidong Zhou , Xiaofeng Zhong

In this paper, a rate adaptive geometric constellation shaping (GCS) scheme which is fully backward-compatible with existing state of the art bit-interleaved coded modulation (BICM) systems is proposed and experimentally demonstrated. The…

Signal Processing · Electrical Eng. & Systems 2024-03-14 Metodi Plamenov Yankov , Smaranika Swain , Ognjen Jovanovic , Darko Zibar , Francesco Da Ros

We propose regularized approximate message passing (RAMP), a low-complexity algorithm for discrete signal detection in overloaded multiple-input multiple-output (MIMO) systems where the number of transmit antennas exceeds the number of…

Signal Processing · Electrical Eng. & Systems 2026-04-07 Shreesal Shrestha , Getuar Rexhepi , Kuranage Roche Rayan Ranasinghe , Hyeon Seok Rou , Giuseppe Thadeu Freitas de Abreu

Large Language Models (LLMs) struggle with reliably generating highly structured outputs, such as program code, mathematical formulas, or well-formed markup. Constrained decoding approaches mitigate this problem by greedily restricting what…

Artificial Intelligence · Computer Science 2025-12-15 Kanghee Park , Jiayu Wang , Taylor Berg-Kirkpatrick , Nadia Polikarpova , Loris D'Antoni

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

Orthogonal approximate message-passing (OAMP) is proposed for signal recovery from right-orthogonally invariant linear measurements with spatial coupling. Conventional state evolution is generalized to a unified framework of state evolution…

Information Theory · Computer Science 2023-05-22 Keigo Takeuchi

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

In this paper, we consider a general K-user Gaussian multiple-input multiple-output (MIMO) broadcast channel (BC). We assume that the channel state is deterministic and known to all the nodes. While the private-message capacity region is…

Information Theory · Computer Science 2021-04-29 Zheng Li , Sheng Yang , Shlomo Shamai

Generalized linear models (GLMs) arguably represent the standard approach for statistical regression beyond the Gaussian likelihood scenario. When Bayesian formulations are employed, the general absence of a tractable posterior distribution…

Computation · Statistics 2024-07-03 Niccolò Anceschi , Augusto Fasano , Beatrice Franzolini , Giovanni Rebaudo

Feedback holds a pivotal role in practical communication schemes, even though it does not enhance channel capacity. Its main attribute includes adaptability in transmission that allows for a higher rate of convergence of the error…

Information Theory · Computer Science 2024-03-22 Ioannis Papoutsidakis , Robert J. Piechocki , Angela Doufexi

Approximate message passing (AMP) algorithms break a (high-dimensional) statistical problem into parts then repeatedly solve each part in turn, akin to alternating projections. A distinguishing feature is their asymptotic behaviours can be…

Information Theory · Computer Science 2023-04-18 Yiyao Cheng , Lei Liu , Shansuo Liang , Jonathan. H. Manton , Li Ping

Throughput and per-packet delay can present strong trade-offs that are important in the cases of delay sensitive applications.We investigate such trade-offs using a random linear network coding scheme for one or more receivers in single hop…

Networking and Internet Architecture · Computer Science 2012-02-06 Weifei Zeng , Chris T. K. Ng , Muriel Medard

A common architectural choice for deep metric learning is a convolutional neural network followed by global average pooling (GAP). Albeit simple, GAP is a highly effective way to aggregate information. One possible explanation for the…

Computer Vision and Pattern Recognition · Computer Science 2023-08-23 Yeti Z. Gurbuz , Ozan Sener , A. Aydın Alatan

High-dimensional time series appear in many scientific setups, demanding a nuanced approach to model and analyze the underlying dependence structure. Theoretical advancements so far often rely on stringent assumptions regarding the sparsity…

Information Theory · Computer Science 2025-03-20 Daria Tieplova , Samriddha Lahiry , Jean Barbier
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