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相关论文: Convergence analysis of belief propagation for pai…

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Gaussian belief propagation (BP) has been widely used for distributed estimation in large-scale networks such as the smart grid, communication networks, and social networks, where local measurements/observations are scattered over a wide…

机器学习 · 计算机科学 2017-04-14 Jian Du , Shaodan Ma , Yik-Chung Wu , Soummya Kar , José M. F. Moura

Gaussian belief propagation (BP) is a computationally efficient method to approximate the marginal distribution and has been widely used for inference with high dimensional data as well as distributed estimation in large-scale networks.…

信息论 · 计算机科学 2017-11-29 Jian Du , Soummya Kar , José M. F. Moura

This paper considers inference over distributed linear Gaussian models using factor graphs and Gaussian belief propagation (BP). The distributed inference algorithm involves only local computation of the information matrix and of the mean…

机器学习 · 统计学 2018-01-01 Jian Du , Shaodan Ma , Yik-Chung Wu , Soummya Kar , José M. F. Moura

The canonical problem of solving a system of linear equations arises in numerous contexts in information theory, communication theory, and related fields. In this contribution, we develop a solution based upon Gaussian belief propagation…

信息论 · 计算机科学 2009-07-12 Danny Bickson

Gaussian belief propagation (GaBP) is an iterative message-passing algorithm for inference in Gaussian graphical models. It is known that when GaBP converges it converges to the correct MAP estimate of the Gaussian random vector and simple…

信息论 · 计算机科学 2010-03-23 Jason K. Johnson , Danny Bickson , Danny Dolev

Gaussian belief propagation (GBP) is a recursive computation method that is widely used in inference for computing marginal distributions efficiently. Depending on how the factorization of the underlying joint Gaussian distribution is…

信息论 · 计算机科学 2018-01-22 Jian Du , Shaodan Ma , Yik-Chung Wu , Soummya Kar , José M. F. Moura

Belief Propagation (BP) is a powerful algorithm for distributed inference in probabilistic graphical models, however it quickly becomes infeasible for practical compute and memory budgets. Many efficient, non-parametric forms of BP have…

分布式、并行与集群计算 · 计算机科学 2026-01-30 Tom Yates , Yuzhou Cheng , Ignacio Alzugaray , Danyal Akarca , Pedro A. M. Mediano , Andrew J. Davison

Gaussian Belief Propagation (BP) algorithm is one of the most important distributed algorithms in signal processing and statistical learning involving Markov networks. It is well known that the algorithm correctly computes marginal density…

机器学习 · 统计学 2019-03-08 Zhaorong Zhang , Minyue Fu

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…

系统与控制 · 电气工程与系统科学 2020-04-07 Damián Marelli , Tianju Sui , Minyue Fu , Ximing Sun

This paper studies the convergence rate of a message-passing distributed algorithm for solving a large-scale linear system. This problem is generalised from the celebrated Gaussian Belief Propagation (BP) problem for statistical learning…

系统与控制 · 电气工程与系统科学 2020-04-15 Zhaorong Zhang , Qianqian Cai , Minyue Fu

The canonical problem of solving a system of linear equations arises in numerous contexts in information theory, communication theory, and related fields. In this contribution, we develop a solution based upon Gaussian belief propagation…

信息论 · 计算机科学 2008-10-08 Ori Shental , Danny Bickson , Paul H. Siegel , Jack K. Wolf , Danny Dolev

The belief propagation (BP) algorithm is widely applied to perform approximate inference on arbitrary graphical models, in part due to its excellent empirical properties and performance. However, little is known theoretically about when…

人工智能 · 计算机科学 2012-06-26 Alexander T. Ihler

We present a novel distributed Gauss-Newton method for the non-linear state estimation (SE) model based on a probabilistic inference method called belief propagation (BP). The main novelty of our work comes from applying BP sequentially…

信息论 · 计算机科学 2018-08-28 Mirsad Cosovic , Dejan Vukobratovic

The canonical problem of solving a system of linear equations arises in numerous contexts in information theory, communication theory, and related fields. In this contribution, we develop a solution based upon Gaussian belief propagation…

信息论 · 计算机科学 2009-04-16 Ori Shental , Paul H. Siegel , Jack K. Wolf , Danny Bickson , Danny Dolev

In this article, we present a visual introduction to Gaussian Belief Propagation (GBP), an approximate probabilistic inference algorithm that operates by passing messages between the nodes of arbitrarily structured factor graphs. A special…

人工智能 · 计算机科学 2021-07-07 Joseph Ortiz , Talfan Evans , Andrew J. Davison

Belief propagation (BP) algorithm is a widely used message-passing method for inference in graphical models. BP on loop-free graphs converges in linear time. But for graphs with loops, BP's performance is uncertain, and the understanding of…

机器学习 · 统计学 2020-06-30 Dong Liu , Minh Thành Vu , Zuxing Li , Lars K. Rasmussen

We apply belief propagation (BP) to multi--user detection in a spread spectrum system, under the assumption of Gaussian symbols. We prove that BP is both convergent and allows to estimate the correct conditional expectation of the input…

信息论 · 计算机科学 2007-07-13 Andrea Montanari , Balaji Prabhakar , David Tse

Belief Propagation (BP) is an efficient message-passing algorithm widely used for inference in graphical models and for solving various problems in statistical physics. However, BP often yields inaccurate estimates of order parameters and…

社会与信息网络 · 计算机科学 2025-10-23 Seongmin Kim , Alec Kirkley

Recent years have seen a growing interest in the use of belief propagation - an algorithm originally introduced for performing statistical inference on graphical models - for approximate, but highly efficient, tensor network contraction.…

量子物理 · 物理学 2026-04-28 Joseph Tindall , Grace M. Sommers , Hilbert Kappen

We consider the problem of maximum likelihood estimation in linear models represented by factor graphs and solved via the Gaussian belief propagation algorithm. Motivated by massive internet of things (IoT) networks and edge computing, we…

信息论 · 计算机科学 2023-05-31 Mirsad Cosovic , Dragisa Miskovic , Muhamed Delalic , Darijo Raca , Dejan Vukobratovic
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