Branch and bound with mini-bucket heuristics

  • Authors:
  • Kalev Kask;Rina Dechter

  • Affiliations:
  • Department of Information and Computer Science, University of California, Irvine, CA;Department of Information and Computer Science, University of California, Irvine, CA

  • Venue:
  • IJCAI'99 Proceedings of the 16th international joint conference on Artifical intelligence - Volume 1
  • Year:
  • 1999

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Abstract

The paper describes a branch and bound scheme that uses heuristics generated mechanically by the mini-bucket approximation. This scheme is presented and evaluated for optimization tasks such as finding the Most Probable Explanation (MPE) in Bayesian networks. The mini-bucket scheme yields monotonic heuristics of varying strengths which cause different amounts of pruning, allowing a controlled tradeoff between preprocessing and search. The resulting Branch and Bound with Mini-Bucket heuristic (BBMB), is evaluated using random networks, probabilistic decoding and medical diagnosis networks. Results show that the BBMB scheme overcomes the memory explosion of bucket-elimination allowing a gradual tradeoff of space for time, and of time for accuracy.