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Inference for probabilistic graphical models is still very much a practical challenge in large domains. The commonly used and effective belief propagation (BP) algorithm and its generalizations often do not converge when applied to hard,…

Artificial Intelligence · Computer Science 2012-07-02 Gal Elidan , Ian McGraw , Daphne Koller

Belief propagation and its variants are popular methods for approximate inference, but their running time and even their convergence depend greatly on the schedule used to send the messages. Recently, dynamic update schedules have been…

Machine Learning · Computer Science 2012-06-26 Charles Sutton , Andrew McCallum

Message-passing algorithms based on the Belief Propagation (BP) equations constitute a well-known distributed computational scheme. It is exact on tree-like graphical models and has also proven to be effective in many problems defined on…

Machine Learning · Computer Science 2022-07-20 Carlo Lucibello , Fabrizio Pittorino , Gabriele Perugini , Riccardo Zecchina

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…

Artificial Intelligence · Computer Science 2024-03-20 Vincent Bouttier , Renaud Jardri , Sophie Deneve

Belief Propagation (BP) is a popular, distributed heuristic for performing MAP computations in Graphical Models. BP can be interpreted, from a variational perspective, as minimizing the Bethe Free Energy (BFE). BP can also be used to solve…

Artificial Intelligence · Computer Science 2013-05-20 Andrew Gelfand , Jinwoo Shin , Michael Chertkov

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…

Machine Learning · Statistics 2020-06-30 Dong Liu , Minh Thành Vu , Zuxing Li , Lars K. Rasmussen

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…

Artificial Intelligence · Computer Science 2022-09-27 Yanchen Deng , Shufeng Kong , Caihua Liu , Bo An

Compiling Bayesian networks (BNs) to junction trees and performing belief propagation over them is among the most prominent approaches to computing posteriors in BNs. However, belief propagation over junction tree is known to be…

Artificial Intelligence · Computer Science 2012-02-20 Lu Zheng , Ole Mengshoel , Jike Chong

Loopy Belief Propagation (LBP) is a widely used approximate inference algorithm in probabilistic graphical models, with applications in computer vision, error correction codes, protein folding, program analysis, etc. However, LBP faces…

Software Engineering · Computer Science 2025-09-29 Haoyu Feng , Xin Zhang

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…

Social and Information Networks · Computer Science 2025-10-23 Seongmin Kim , Alec Kirkley

Message passing type algorithms such as the so-called Belief Propagation algorithm have recently gained a lot of attention in the statistics, signal processing and machine learning communities as attractive algorithms for solving a variety…

Discrete Mathematics · Computer Science 2016-03-10 David Gamarnik , Devavrat Shah , Yehua Wei

Belief propagation (BP) is a powerful tool to solve distributed inference problems, though it is limited by short cycles in the corresponding factor graph. Such cycles may lead to incorrect solutions or oscillatory behavior. Only for…

Systems and Control · Computer Science 2018-02-08 Christopher Lindberg , Julien M. Hendrickx , Henk Wymeersch

The sum-product or belief propagation (BP) algorithm is a widely-used message-passing algorithm for computing marginal distributions in graphical models with discrete variables. At the core of the BP message updates, when applied to a…

Information Theory · Computer Science 2012-05-28 Nima Noorshams , Martin J. Wainwright

Belief Propagation (BP) is a widely used approximation for exact probabilistic inference in graphical models, such as Markov Random Fields (MRFs). In graphs with cycles, however, no exact convergence guarantees for BP are known, in general.…

Artificial Intelligence · Computer Science 2016-12-28 Wolfgang Gatterbauer

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…

Artificial Intelligence · Computer Science 2012-06-26 Alexander T. Ihler

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…

Networking and Internet Architecture · Computer Science 2011-07-15 Cai Hong Kai , Soung Chang Liew

Graphical models use the intuitive and well-studied methods of graph theory to implicitly represent dependencies between variables in large systems. They can model the global behaviour of a complex system by specifying only local factors.…

Artificial Intelligence · Computer Science 2015-08-21 Siamak Ravanbakhsh

Fast convergence speed is a desired property for training latent Dirichlet allocation (LDA), especially in online and parallel topic modeling for massive data sets. This paper presents a novel residual belief propagation (RBP) algorithm to…

Machine Learning · Computer Science 2013-06-14 Jia Zeng , Xiao-Qin Cao , Zhi-Qiang Liu

The max-product {belief propagation} (BP) is a popular message-passing heuristic for approximating a maximum-a-posteriori (MAP) assignment in a joint distribution represented by a graphical model (GM). In the past years, it has been shown…

Artificial Intelligence · Computer Science 2017-06-29 Sejun Park , Jinwoo Shin

Methods to extract information from the tracking of mobile objects/particles have broad interest in biological and physical sciences. Techniques based on simple criteria of proximity in time-consecutive snapshots are useful to identify the…

Data Analysis, Statistics and Probability · Physics 2015-03-13 M. Chertkov , L. Kroc , F. Krzakala , M. Vergassola , L. Zdeborová
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