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The belief propagation (BP) based algorithm is investigated as a potential decoder for both of error correcting codes and lossy compression, which are based on non-monotonic tree-like multilayer perceptron encoders. We discuss that whether…

Information Theory · Computer Science 2015-03-18 Kazushi Mimura , Florent Cousseau , Masato Okada

Tensor network contraction on arbitrary graphs is a fundamental computational challenge with applications ranging from quantum simulation to error correction. While belief propagation (BP) provides a powerful approximation algorithm for…

Quantum Physics · Physics 2025-10-28 Siddhant Midha , Yifan F. Zhang

Data association, the problem of reasoning over correspondence between targets and measurements, is a fundamental problem in tracking. This paper presents a graphical model formulation of data association and applies an approximate…

Artificial Intelligence · Computer Science 2014-12-16 Jason L. Williams , Roslyn A. Lau

This paper considers the problem of tracking a large-scale number of group targets. Usually, multi-target in most tracking scenarios are assumed to have independent motion and are well-separated. However, for group target tracking (GTT),…

Machine Learning · Computer Science 2022-08-26 Xuqi Zhang , Fanqin Meng , Haiqi Liu , Xiaojing Shen , Yunmin Zhu

Probabilistic inference problems arise naturally in distributed systems such as sensor networks and teams of mobile robots. Inference algorithms that use message passing are a natural fit for distributed systems, but they must be robust to…

Artificial Intelligence · Computer Science 2012-07-19 Mark Paskin , Carlos E. Guestrin

We consider the general problem of finding the minimum weight $\bm$-matching on arbitrary graphs. We prove that, whenever the linear programming (LP) relaxation of the problem has no fractional solutions, then the belief propagation (BP)…

Information Theory · Computer Science 2015-03-13 Mohsen Bayati , Christian Borgs , Jennifer Chayes , Riccardo Zecchina

It has been proposed by many researchers that combining deep neural networks with graphical models can create more efficient and better regularized composite models. The main difficulties in implementing this in practice are associated with…

Computer Vision and Pattern Recognition · Computer Science 2020-03-16 Patrick Knöbelreiter , Christian Sormann , Alexander Shekhovtsov , Friedrich Fraundorfer , Thomas Pock

Machine learning based approaches are being increasingly used for designing decoders for next generation communication systems. One widely used framework is neural belief propagation (NBP), which unfolds the belief propagation (BP)…

Information Theory · Computer Science 2024-04-23 Sudarshan Adiga , Xin Xiao , Ravi Tandon , Bane Vasic , Tamal Bose

Low-density parity-check codes are attractive for high throughput applications because of their low decoding complexity per bit, but also because all the codeword bits can be decoded in parallel. However, achieving this in a circuit…

Hardware Architecture · Computer Science 2012-05-14 François Leduc-Primeau , Saied Hemati , Shie Mannor , Warren J. Gross

The framework of statistical inference has been successfully used to detect the meso-scale structures in complex networks, such as community structure, core-periphery (CP) structure. The main principle is that the stochastic block model…

Physics and Society · Physics 2018-08-29 Chuang Ma , Bing-Bing Xiang , Han-Shuang Chen , Hai-Feng Zhang

Belief propagation is a widely used message passing method for the solution of probabilistic models on networks such as epidemic models, spin models, and Bayesian graphical models, but it suffers from the serious shortcoming that it works…

Statistical Mechanics · Physics 2021-04-27 Alec Kirkley , George T. Cantwell , M. E. J. Newman

A key idea in coding for the broadcast channel (BC) is binning, in which the transmitter encode information by selecting a codeword from an appropriate bin (the messages are thus the bin indexes). This selection is normally done by solving…

Information Theory · Computer Science 2016-11-17 A. Braunstein , F. Kayhan , G. Montorsi , R. Zecchina

In distributed target tracking for wireless sensor networks, agreement on the target state can be achieved by the construction and maintenance of a communication path, in order to exchange information regarding local likelihood functions.…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-03-20 Vladimir Savic , Henk Wymeersch , Santiago Zazo

Belief propagation (BP) is an iterative method to perform approximate inference on arbitrary graphical models. Whether BP converges and if the solution is a unique fixed point depends on both the structure and the parametrization of the…

Machine Learning · Statistics 2017-05-31 Christian Knoll , Franz Pernkopf , Dhagash Mehta , Tianran Chen

Due to the massive number of devices in the M2M communication era, new challenges have been brought to the existing random-access (RA) mechanism, such as severe preamble collisions and resource block (RB) wastes. To address these problems,…

Information Theory · Computer Science 2019-10-09 Zhaoji Zhang , Ying Li , Lei Liu , Huimei Han

In this paper, deep neural network (DNN) is utilized to improve the belief propagation (BP) detection for massive multiple-input multiple-output (MIMO) systems. A neural network architecture suitable for detection task is firstly introduced…

Signal Processing · Electrical Eng. & Systems 2018-04-06 Xiaosi Tan , Weihong Xu , Yair Be'ery , Zaichen Zhang , Xiaohu You , Chuan Zhang

Message passing algorithms, whose iterative nature captures well complicated interactions among interconnected variables in complex systems and extracts information from the fixed point of iterated messages, provide a powerful toolkit in…

Disordered Systems and Neural Networks · Physics 2022-02-28 Chun-Yan Zhao , Yan-Rong Fu , Jin-Hua Zhao

Recent research has shown that syndrome-based belief propagation using layered scheduling (sLBP) can not only accelerate the convergence rate but also improve the error rate performance by breaking the quantum trapping sets for quantum…

Quantum Physics · Physics 2026-01-21 Tzu-Hsuan Huang , Yeong-Luh Ueng

This paper focuses on the distributed static estimation problem and a Belief Propagation (BP) based estimation algorithm is proposed. We provide a complete analysis for convergence and accuracy of it. More precisely, we offer conditions…

Systems and Control · Electrical Eng. & Systems 2020-04-07 Damián Marelli , Tianju Sui , Minyue Fu , Ximing Sun

In this paper, we provide a distributed frequency offset estimation algorithm based on a variant of belief propagation (BP). Each agent in the network pre-compensates its carrier frequency individually so that there is no frequency offset…

Information Theory · Computer Science 2018-02-13 Jian Du , Shaodan Ma
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