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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

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

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 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

Gaussian belief propagation (GaBP) is an iterative algorithm for computing the mean of a multivariate Gaussian distribution, or equivalently, the minimum of a multivariate positive definite quadratic function. Sufficient conditions, such as…

信息论 · 计算机科学 2014-01-07 Nicholas Ruozzi , Sekhar Tatikonda

Gaussian belief propagation (GaBP) is a technique that relies on linearized error and input-output models to yield low-complexity solutions to complex estimation problems, which has been recently shown to be effective in the design of…

信号处理 · 电气工程与系统科学 2026-02-05 Niclas Führling , Hyeon Seok Rou , Giuseppe Abreu , David González G. , Osvaldo Gonsa

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

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

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 (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

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

We propose an approach to do learning in Gaussian factor graphs. We treat all relevant quantities (inputs, outputs, parameters, latents) as random variables in a graphical model, and view both training and prediction as inference problems…

机器学习 · 计算机科学 2024-07-18 Seth Nabarro , Mark van der Wilk , Andrew J Davison

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

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

机器学习 · 计算机科学 2017-11-21 Jian Du , Shaodan Ma , Yik-Chung Wu , Soummya Kar , José M. F. Moura

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…

人工智能 · 计算机科学 2014-12-16 Jason L. Williams , Roslyn A. Lau

The random dot product graph is a popular model for network data with extensions that accommodate dynamic (time-varying) networks. However, two significant deficiencies exist in the dynamic random dot product graph literature: (1) no…

统计方法学 · 统计学 2025-09-25 Joshua Daniel Loyal

Belief Propagation (BP) is an important message-passing algorithm for various reasoning tasks over graphical models, including solving the Constraint Optimization Problems (COPs). It has been shown that BP can achieve state-of-the-art…

人工智能 · 计算机科学 2022-09-27 Yanchen Deng , Shufeng Kong , Caihua Liu , Bo An

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

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

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
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