Abstract
The control of Bayesian network (BN) evaluation is important in the development of real-time decision making systems. Techniques which focus attention by considering the relevance of variables in a BN allow more efficient use of computational resources. The statistical concept of mutual information (MI) between two related random variables can be used to measure relevance. We extend this idea to present a new measure of arc weights in a BN, and show how these can be combined to give a measure of the weight of a region of connected nodes. A heuristic path weight of a node or region relative to a specific query is also given. We present results from experiments which show that the MI weights are better than another measure based on the Bhattacharyya distance.
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I. Beinlich, H. Suermondt, R. Chavez, and G. Cooper. The alarm monitoring system: A case study with two probabilistic inference techniques for belief networks. In Proc. of the 2nd European Conf. on Artificial Intelligence in medicine, pages 689–693, 1992.
A. Bhattacharyya. On a measure of divergence between two statistical populations defined by their probability distributions. Bulletin of the Calcutta Mathematics Society, 35:99–110, 1943.
B. Boerlage. Link strengths in Bayesian networks. Master’s thesis, Dept. of Computer Science, U. of British Columbia, 1995.
John Brown. Hailfinder: Bayesian system that combines meteorological data and models with expert judgment to forecast severe summer weather in ne colorado. INFORMS Atlanta, November 3–6, 1996. Talk. See http://www.informs.org/Conf/ATL96/TALKS/SD12.html, 1996.
Paul R. Cohen. Empirical Methods for Artificial Intelligence. MIT Press, Cambridge, Massachusetts, 1995.
G.F. Cooper. The computational complexity of probabilistic inference using bayesian belief networks. Artificial Intelligence, 42:393–405, 1990.
P. Dagum and M. Luby. Approximating probabilistic inference in belief networks is NP-hard. Artificial Intelligence, pages 141–153, 1993.
Denise Draper. Localized Partial Evaluation of Belief Networks. PhD thesis, Dept. of Computer Science, University of Washington, 1995.
N. Jitnah and A. Nicholson. A. best-first search method for anytime evaluation of belief networks. In ICONIP’97: International Conference on Neural Information Processing (ICONIP’97), pages 600–603, 1997.
N. Jitnah and A. Nicholson. treenets: A framework for anytime evaluation of belief networks. In First International Joint Conference on Qualitative and Quantitative Practical Reasoning, ECSQARU-FAPR’97, 1997. Lecture notes in Artificial Intelligence, Springer-Verlag.
S.L. Lauritzen and D.J. Spiegelhalter. Local computations with probabilities on graphical structures and their application to expert systems. Journal of the Royal Statistical Society, 50(2):157–224, 1988.
C. Liu and M. Wellman. On state-space abstraction for anytime evaluation of bayesian networks. In IJCAI 95: Anytime Algorithms and Deliberation Scheduling Workshop, pages 91–98, 1995.
Judea Pearl, Probabilistic Reasoning in Intelligent Systems. Morgan Kaufmann, San Mateo, Ca., 1988.
K. L. Poh and E. Horvitz. A graph-theoretic analysis of information value. In Proceedings of the Twelfth Conference on Uncertainty in AI, pages 427–435, 1996.
C. E. Shannon and W. Weaver. The mathematical theory of communication. University of Illinois Press, 1949.
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Nicholson, A.E., Jitnah, N. (1998). Using mutual information to determine relevance in Bayesian networks. In: Lee, HY., Motoda, H. (eds) PRICAI’98: Topics in Artificial Intelligence. PRICAI 1998. Lecture Notes in Computer Science, vol 1531. Springer, Berlin, Heidelberg . https://doi.org/10.1007/BFb0095287
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DOI: https://doi.org/10.1007/BFb0095287
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