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相关论文: Loopy Belief Propagation in Bayesian Networks : or…

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Recently, researchers have demonstrated that loopy belief propagation - the use of Pearls polytree algorithm IN a Bayesian network WITH loops OF error- correcting codes.The most dramatic instance OF this IS the near Shannon - limit…

人工智能 · 计算机科学 2013-01-30 Kevin Murphy , Yair Weiss , Michael I. Jordan

In second-order uncertain Bayesian networks, the conditional probabilities are only known within distributions, i.e., probabilities over probabilities. The delta-method has been applied to extend exact first-order inference methods to…

Belief propagation (BP) can do exact inference in loop-free graphs, but its performance could be poor in graphs with loops, and the understanding of its solution is limited. This work gives an interpretable belief propagation rule that is…

机器学习 · 计算机科学 2019-08-26 Dong Liu , Nima N. Moghadam , Lars K. Rasmussen , Jinliang Huang , Saikat Chatterjee

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

Belief Propagation (BP) is a simple probabilistic inference algorithm, consisting of passing messages between nodes of a graph representing a probability distribution. Its analogy with a neural network suggests that it could have…

人工智能 · 计算机科学 2024-03-20 Vincent Bouttier , Renaud Jardri , Sophie Deneve

We propose an original particle-based implementation of the Loopy Belief Propagation (LPB) algorithm for pairwise Markov Random Fields (MRF) on a continuous state space. The algorithm constructs adaptively efficient proposal distributions…

统计计算 · 统计学 2015-06-22 Thibaut Lienart , Yee Whye Teh , Arnaud Doucet

We address the question of convergence in the loopy belief propagation (LBP) algorithm. Specifically, we relate convergence of LBP to the existence of a weak limit for a sequence of Gibbs measures defined on the LBP s associated computation…

人工智能 · 计算机科学 2013-01-07 Sekhar Tatikonda , Michael I. Jordan

Belief propagation is known to perform extremely well in many practical statistical inference and learning problems using graphical models, even in the presence of multiple loops. The iterative use of belief propagation algorithm on loopy…

信息论 · 计算机科学 2013-02-13 Xiangqiong Shi , Dan Schonfeld , Daniela Tuninetti

This paper presents a new deterministic approximation technique in Bayesian networks. This method, "Expectation Propagation", unifies two previous techniques: assumed-density filtering, an extension of the Kalman filter, and loopy belief…

人工智能 · 计算机科学 2013-01-14 Thomas P. Minka

Belief propagation (BP) is a message-passing method for solving probabilistic graphical models. It is very successful in treating disordered models (such as spin glasses) on random graphs. On the other hand, finite-dimensional lattice…

统计力学 · 物理学 2016-02-17 Hai-Jun Zhou , Wei-Mou Zheng

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…

信息论 · 计算机科学 2015-03-18 Kazushi Mimura , Florent Cousseau , Masato Okada

Belief Propagation (BP) is one of the most popular methods for inference in probabilistic graphical models. BP is guaranteed to return the correct answer for tree structures, but can be incorrect or non-convergent for loopy graphical…

人工智能 · 计算机科学 2012-06-22 Siamak Ravanbakhsh , Chun-Nam Yu , Russell Greiner

Loopy belief propagation (LBP), which is equivalent to the Bethe approximation in statistical mechanics, is a message-passing-type inference method that is widely used to analyze systems based on Markov random fields (MRFs). In this paper,…

机器学习 · 统计学 2015-11-16 Muneki Yasuda , Shun Kataoka , Kazuyuki Tanaka

In Non - ergodic belief networks the posterior belief OF many queries given evidence may become zero.The paper shows that WHEN belief propagation IS applied iteratively OVER arbitrary networks(the so called, iterative OR loopy belief…

人工智能 · 计算机科学 2012-12-12 Rina Dechter , Robert Mateescu

We often encounter probability distributions given as unnormalized products of non-negative functions. The factorization structures are represented by hypergraphs called factor graphs. Such distributions appear in various fields, including…

离散数学 · 计算机科学 2011-03-24 Yusuke Watanabe

The belief propagation (BP) algorithm is an efficient way to solve "inference" problems in graphical models, such as Bayesian networks and Markov random fields. The system-state probability distribution of CSMA wireless networks is a Markov…

网络与互联网体系结构 · 计算机科学 2011-07-15 Cai Hong Kai , Soung Chang Liew

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

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

We describe expectation propagation for approximate inference in dynamic Bayesian networks as a natural extension of Pearl s exact belief propagation.Expectation propagation IS a greedy algorithm, converges IN many practical cases, but NOT…

人工智能 · 计算机科学 2013-01-07 Tom Heskes , Onno Zoeter

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
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