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Belief propagation

Belief propagation, also known as sum–product message passing, is a message-passing algorithm for performing inference on graphical models, such as Bayesian networks and Markov random fields. It calculates the marginal distribution for each unobserved node (or variable), conditional on any observed nodes (or variables). Belief propagation is commonly…

Products, Gaussian belief propagation (GaBP) & Related algorithm and complexity issues

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Gaussian belief propagation (GaBP)

Distributions are GaussianPositive definite matrixPrecision matrixMAPAssignment problem
12 related topics

Related algorithm and complexity issues

Viterbi algorithmArg maxInferenceNP-hardRelative error
9 related topics

Approximate algorithm for general graphs

AcyclicGraphsCyclesDiameterEXIT charts
8 related topics

Motivation

Finite setDiscreteRandom variablesJointProbability mass function
6 related topics

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Overview

Motivation

Description of the sum-product algorithm

Approximate algorithm for general graphs

Related algorithm and complexity issues

Relation to free energy

Generalized belief propagation (GBP)

Gaussian belief propagation (GaBP)

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Belief propagation

Nodes73
Edges72
Triples96
Avg. degree1.97
Density0.027397
Components1

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Belief propagation

Top relations

related to Further reading · 60
Belief propagation → An Introduction, Bernhard, Bibcode, Bickson, Bishop, Cambridge University Press, Chapter, Christopher, Cite, CiteSeerX, Communication Speed Nears Terminal, Constructing, Coughlan, Dana, Danny, December, Exploring Artificial Intelligence, Factor Graphs, Freeman, Gaussian Belief Propagation Resource
related to Generalized belief propagation (GBP) · 10
Belief propagation → Belief, Considering, Improvements, Kikuchi, Kikuchi's, NP-complete, One, SP, There, This
related to Approximate algorithm for general graphs · 8
Belief propagation → Although, EXIT, Instead, It, Several, Techniques, The, There
related to Description of the sum-product algorithm · 5
Belief propagation → Any Bayesian, Bayesian, Markov, Variants, We
related to Gaussian belief propagation (GaBP) · 5
Belief propagation → Freeman, Gaussian, The, The GaBP, Weiss
related to Exact algorithm for trees · 4
Belief propagation → Before, Furthermore, In, This
related to Related algorithm and complexity issues · 3
Belief propagation → An, Instead, Viterbi
is a · 1
Belief propagation → variant of the belief propagation algorithm when the underlying distributions are Gaussian

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Important terminology

algorithm propagation belief messages displaystyle message graphs factor graph node variable nodes one marginal shown tree set case convergence known

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Belief propagationis avariant of the belief propagation algorithm when the underlying distributions are Gaussian0.90text
Belief propagationrelated to Approximate algorithm for general graphsAlthough0.60section
Belief propagationrelated to Approximate algorithm for general graphsThe0.60section
Belief propagationrelated to Approximate algorithm for general graphsInstead0.60section
Belief propagationrelated to Approximate algorithm for general graphsIt0.60section
Belief propagationrelated to Approximate algorithm for general graphsSeveral0.60section
Belief propagationrelated to Approximate algorithm for general graphsThere0.60section
Belief propagationrelated to Approximate algorithm for general graphsTechniques0.60section
Belief propagationrelated to Approximate algorithm for general graphsEXIT0.60section
Belief propagationrelated to Description of the sum-product algorithmVariants0.60section
Belief propagationrelated to Description of the sum-product algorithmBayesian0.60section
Belief propagationrelated to Description of the sum-product algorithmMarkov0.60section

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