Computing upper and lower bounds on likelihoods in intractable networks

  • Authors:
  • Tommi S. Jaakkola;Michael I. Jordan

  • Affiliations:
  • Department of Brain and Cognitive Sciences, Massachusetts Institute of Technology, Cambridge, MA;Department of Brain and Cognitive Sciences, Massachusetts Institute of Technology, Cambridge, MA

  • Venue:
  • UAI'96 Proceedings of the Twelfth international conference on Uncertainty in artificial intelligence
  • Year:
  • 1996

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Abstract

We present deterministic techniques for computing upper and lower bounds on marginal probabilities in sigmoid and noisy-OR networks. These techniques become useful when the size of the network (or clique size) precludes exact computations. We illustrate the tightness of the bounds by numerical experiments.