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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.…

Artificial Intelligence · Computer Science 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.…

Machine Learning · Statistics 2024-10-30 Christian Knoll , Adrian Weller , Franz Pernkopf

We derive a family of linear inference algorithms that generalize existing graph-based label propagation algorithms by allowing them to propagate generalized assumptions about "attraction" or "compatibility" between classes of neighboring…

Machine Learning · Computer Science 2016-12-30 Wolfgang Gatterbauer

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

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) 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

In recent decades, the massification of online social connections has made information globally accessible in a matter of seconds. Unfortunately, this has been accompanied by a dramatic surge in extreme opinions, without a clear solution in…

Social and Information Networks · Computer Science 2024-03-20 Vincent Bouttier , Salomé Leclercq , Renaud Jardri , Sophie Deneve

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

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…

Machine Learning · Computer Science 2019-08-26 Dong Liu , Nima N. Moghadam , Lars K. Rasmussen , Jinliang Huang , Saikat Chatterjee

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

Location-aware networks will introduce innovative services and applications for modern convenience, applied ocean sciences, and public safety. In this paper, we establish a hybrid method for model-based and data-driven inference. We…

Machine Learning · Computer Science 2021-05-28 Mingchao Liang , Florian Meyer

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…

Data Structures and Algorithms · Computer Science 2012-11-15 Tobias Brunsch , Kamiel Cornelissen , Bodo Manthey , Heiko Röglin

Belief propagation (BP) is an iterative method to perform approximate inference on arbitrary graphical models. Whether BP converges and if the solution is a unique fixed point depends on both the structure and the parametrization of the…

Machine Learning · Statistics 2017-05-31 Christian Knoll , Franz Pernkopf , Dhagash Mehta , Tianran Chen

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

It has been proposed by many researchers that combining deep neural networks with graphical models can create more efficient and better regularized composite models. The main difficulties in implementing this in practice are associated with…

Computer Vision and Pattern Recognition · Computer Science 2020-03-16 Patrick Knöbelreiter , Christian Sormann , Alexander Shekhovtsov , Friedrich Fraundorfer , Thomas Pock

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…

Artificial Intelligence · Computer Science 2014-12-16 Jason L. Williams , Roslyn A. Lau

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…

Information Theory · Computer Science 2013-02-13 Xiangqiong Shi , Dan Schonfeld , Daniela Tuninetti

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…

Machine Learning · Computer Science 2015-05-13 Cyril Furtlehner , Jean-Marc Lasgouttes , Anne Auger

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…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-09-26 Mark Van der Merwe , Vinu Joseph , Ganesh Gopalakrishnan

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
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