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Factor graph

A factor graph is a bipartite graph representing the factorization of a function. In probability theory and its applications, factor graphs are used to represent factorization of a probability distribution function, enabling efficient computations, such as the computation of marginal distributions through the sum–product algorithm. One of the important…

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Overview

Definition

Examples

  • Cycle Cycle (graph theory)
  • Tree Tree (graph theory)

Message passing on factor graphs

Advanced semantic analysis

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Map overview Semantic statistics

Factor graph

Nodes31
Edges30
Triples67
Avg. degree1.94
Density0.064516
Components1

How this topic connects Entity context

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Factor graph

Top relations

related to References · 40
Factor graph → Artificial Intelligence, Bibcode, Brendan, Cambridge University Press, Cite, CiteSeerX, Clifford, Conference, Disorder, Extending Factor Graphs, Factor Graphs, Frank, Frey, Grimmett, Hammersley Festschrift, Hans-Andrea, Henk, IEEE Transactions, Information Theory, ISBN
related to Further reading · 14
Factor graph → An, An Introduction, Archived, Bibcode, Factor Graphs, Hans-Andrea, IEEE Signal Processing Magazine, January, Loeliger, MATLAB, MSP, PDF, S2CID, Wayback Machine
related to Examples · 4
Factor graph → Consider, If, Observe, This
related to Message passing on factor graphs · 4
Factor graph → For, In, The, When
related to Definition · 2
Factor graph → Given, The
is a · 1
Factor graph → bipartite graph representing the factorization of a function

Important terminology Word statistics

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Important terminology

factor graphs function algorithm factorization graph constraint displaystyle sum product message variable passing dots edges used marginal distribution corresponding vertex

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Factor graphis abipartite graph representing the factorization of a function0.90text
Bayesian networksinstance ofClifford theorem shows that other probabilistic models0.80text
Markov networks can be represented as factor graphsinstance ofClifford theorem shows that other probabilistic models0.80text
Factor graphrelated to DefinitionGiven0.60section
Factor graphrelated to DefinitionThe0.60section
Factor graphrelated to ExamplesConsider0.60section
Factor graphrelated to ExamplesObserve0.60section
Factor graphrelated to ExamplesIf0.60section
Factor graphrelated to ExamplesThis0.60section
Factor graphrelated to Further readingLoeliger0.60section
Factor graphrelated to Further readingHans-Andrea0.60section
Factor graphrelated to Further readingJanuary0.60section

Related concept clusters Concept neighborhoods

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    Min side: 3
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