Factor graphs and the sum-product algorithm

@article{Kschischang2001FactorGA,
  title={Factor graphs and the sum-product algorithm},
  author={Frank R. Kschischang and Brendan J. Frey and Hans-Andrea Loeliger},
  journal={IEEE Trans. Inf. Theory},
  year={2001},
  volume={47},
  pages={498-519}
}
Algorithms that must deal with complicated global functions of many variables often exploit the manner in which the given functions factor as a product of "local" functions, each of which depends on a subset of the variables. [] Key Method Following a single, simple computational rule, the sum-product algorithm computes-either exactly or approximately-various marginal functions derived from the global function. A wide variety of algorithms developed in artificial intelligence, signal processing, and digital…

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