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相关论文: Convergence Analysis of Belief Propagation on Gaus…

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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) 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

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

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) 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

We argue the case for Gaussian Belief Propagation (GBP) as a strong algorithmic framework for the distributed, generic and incremental probabilistic estimation we need in Spatial AI as we aim at high performance smart robots and devices…

人工智能 · 计算机科学 2022-11-08 Andrew J. Davison , Joseph Ortiz

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

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

Generalized belief propagation (GBP) has proven to be a promising technique for approximate inference tasks in AI and machine learning. However, the choice of a good set of clusters to be used in GBP has remained more of an art then a…

人工智能 · 计算机科学 2012-07-19 Max Welling

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) 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

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

A graphical model is a structured representation of locally dependent random variables. A traditional method to reason over these random variables is to perform inference using belief propagation. When provided with the true data generating…

机器学习 · 计算机科学 2021-03-17 Victor Garcia Satorras , Max Welling

Precise coordinated planning over a forward time window enables safe and highly efficient motion when many robots must work together in tight spaces, but this would normally require centralised control of all devices which is difficult to…

机器人学 · 计算机科学 2023-01-27 Aalok Patwardhan , Riku Murai , Andrew J. Davison

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

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

The generalized belief propagation (GBP), introduced by Yedidia et al., is an extension of the belief propagation (BP) algorithm, which is widely used in different problems involved in calculating exact or approximate marginals of…

机器学习 · 计算机科学 2016-05-09 Farzin Haddadpour , Mahdi Jafari Siavoshani , Morteza Noshad

Belief propagation is a fundamental message-passing algorithm for probabilistic reasoning and inference in graphical models. While it is known to be exact on trees, in most applications belief propagation is run on graphs with cycles.…

机器学习 · 计算机科学 2019-05-27 Frederic Koehler

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

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
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