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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.…

人工智能 · 计算机科学 2016-12-28 Wolfgang Gatterbauer

Belief propagation (BP) is a popular method for performing probabilistic inference on graphical models. In this work, we enhance BP and propose self-guided belief propagation (SBP) that incorporates the pairwise potentials only gradually.…

机器学习 · 统计学 2024-10-30 Christian Knoll , Adrian Weller , Franz Pernkopf

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…

系统与控制 · 计算机科学 2018-02-08 Christopher Lindberg , Julien M. Hendrickx , Henk Wymeersch

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

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

Compared to the linear MIMO detectors, the Belief Propagation (BP) detector has shown greater capabilities in achieving near optimal performance and better nature to iteratively cooperate with channel decoders. Aiming at real applications,…

信息论 · 计算机科学 2022-06-28 Wenyue Zhou , Yifei Shen , Liping Li , Yongming Huang , Chuan Zhang , Xiaohu You

Belief propagation (BP) is a message-passing heuristic for statistical inference in graphical models such as Bayesian networks and Markov random fields. BP is used to compute marginal distributions or maximum likelihood assignments and has…

数据结构与算法 · 计算机科学 2012-11-15 Tobias Brunsch , Kamiel Cornelissen , Bodo Manthey , Heiko Röglin

Belief Propagation (BP) is a message-passing algorithm for approximate inference over Probabilistic Graphical Models (PGMs), finding many applications such as computer vision, error-correcting codes, and protein-folding. While general, the…

分布式、并行与集群计算 · 计算机科学 2019-09-26 Mark Van der Merwe , Vinu Joseph , Ganesh Gopalakrishnan

When belief propagation (BP) converges, it does so to a stationary point of the Bethe free energy $F$, and is often strikingly accurate. However, it may converge only to a local optimum or may not converge at all. An algorithm was recently…

机器学习 · 计算机科学 2014-01-03 Adrian Weller , Tony Jebara

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,…

人工智能 · 计算机科学 2012-07-02 Gal Elidan , Ian McGraw , Daphne Koller

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…

人工智能 · 计算机科学 2013-05-20 Andrew Gelfand , Jinwoo Shin , Michael Chertkov

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…

信息论 · 计算机科学 2012-05-28 Nima Noorshams , Martin J. Wainwright

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

In the context of inference with expectation constraints, we propose an approach based on the "loopy belief propagation" algorithm LBP, as a surrogate to an exact Markov Random Field MRF modelling. A prior information composed of…

机器学习 · 计算机科学 2015-05-13 Cyril Furtlehner , Jean-Marc Lasgouttes , Anne Auger

Markov Chain Monte Carlo (MCMC) and Belief Propagation (BP) are the most popular algorithms for computational inference in Graphical Models (GM). In principle, MCMC is an exact probabilistic method which, however, often suffers from…

机器学习 · 统计学 2020-05-12 Sungsoo Ahn , Michael Chertkov , Jinwoo Shin

In this paper, relaxed belief propagation (RBP) based detectors are proposed for multiple-input multiple-out (MIMO) system. The factor graph is leveraged to represent the MIMO channels, and based on which our algorithms are developed.…

信息论 · 计算机科学 2015-03-19 Feichi Long , Tiejun Lv

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 describe a novel approach to statistical learning from particles tracked while moving in a random environment. The problem consists in inferring properties of the environment from recorded snapshots. We consider here the case of a fluid…

信息论 · 计算机科学 2008-06-09 Michael Chertkov , Lukas Kroc , Massimo Vergassola

We present a novel inference algorithm for arbitrary, binary, undirected graphs. Unlike loopy belief propagation, which iterates fixed point equations, we directly descend on the Bethe free energy. The algorithm consists of two phases,…

人工智能 · 计算机科学 2013-01-14 Max Welling , Yee Whye Teh

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…

离散数学 · 计算机科学 2016-03-10 David Gamarnik , Devavrat Shah , Yehua Wei
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