Case-factor diagrams for structured probabilistic modeling

  • Authors:
  • David McAllester;Michael Collins;Fernando Pereira

  • Affiliations:
  • TTI at Chicago, 1427 East 60th Street, Chicago, IL 60637, USA;CSAIL, Massachusetts Institute of Technology, USA;CIS, University of Pennsylvania, USA

  • Venue:
  • Journal of Computer and System Sciences
  • Year:
  • 2008

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Abstract

We introduce a probabilistic formalism handling both Markov random fields of bounded tree width and probabilistic context-free grammars. Our models are based on case-factor diagrams (CFDs) which are similar to binary decision diagrams (BDDs) but are more concise for circuits of bounded tree width. A probabilistic model consists of a CFD defining a feasible set of Boolean assignments and a weight (or cost) for each individual Boolean variable. We give versions of the inside-outside algorithm and the Viterbi algorithm for these models.