Factor Graphs and the Sum-Product Algorithm

Kschischang, F. R., Frey, B. J., & Loeliger, H. (2001). Factor Graphs and the Sum-Product Algorithm. IEEE Transactions on Information Theory, 47(2), 498-519.

Type

Journal article

Intellectual base

Primary research

Year

2001

Volume

47

Issue

2

Pages

498-519

DOI

10.1109/18.910572

DOI registrant

Institute of Electrical and Electronics Engineers

Link

https://doi.org/10.1109/18.910572

Cited by

3 citations across 3 artifacts.

Domain-specific

• Factor graph
  • … directly demonstrates that the global function, variable domains, local factors, factor scopes, graph edges, semiring or aggregation operators, and message-passing assumptions are explicit. to An applied instance preserves the same invariant under a changed scale, notation, jurisdiction, dataset, or implementation..
• Forward–Backward Algorithm
  • Kschischang, Frey, and Loeliger show how factor-graph message passing computes marginals of factored global functions, placing forward–backward inside a broader exact sum-product family on trees.
• Variational Message Passing
  • Sum-product messages combine local functions and incoming messages to compute marginals, exactly on appropriate acyclic factor graphs and approximately when used in loopy settings

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