Abstract
We present a new framework for evaluation of belief networks (BNs). It consists of two steps: (1) transforming a belief network into a tree structure called a treeNet (2) performing anytime inference by searching the treeNet. The root of the treeNet represents the query node. Whenever new evidence is incorporated, the posterior probability of the query node is re-calculated, using a variation of the polytree message-passing algorithm. The treeNet framework is geared towards anytime evaluation. Evaluating the treeNet is a tree search problem and we investigate different tree search strategies. Using a best-first method, we can to increase the rate of convergence of the anytime result.
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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 AI 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.
C. Boutilier, N. Friedman, M. Goldszmidt, and D. Koller. Context-specific independence in bayesian networks. In Proc. of 12th Conf. on UAI, pages 115–123, 1996.
Homer L. Chin and Gregory F. Cooper. Bayesian belief network inference using simulation. In Uncertainty in Artificial Intelligence 3, pages 129–147, 1989.
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.
A. Darwiche and G. Provan. Query-dags: A practical paradigm for implementing belief-network inference. In Proc. of 12th Conf. on UAI, pages 203–210, 1996.
T. Dean and M. Boddy. An analysis of time-dependent planning. In Proc. AAAI-88, pages 49–54, 1988.
T. Dean and M. P. Wellman. Planning and control. Morgan Kaufman Publishers, San Mateo, Ca., 1991.
R. Dechter. Bucket elimination: A unifying framework for probabilistic inference. In Proceedings of the Twelfth Conference on Uncertainty in AI, pages 211–219, 1996.
D. L. Draper and S. Hanks. Localized partial evaluation of a belief network. In Proc. of UAI-94, pages 170–177, 1994.
Jeff Forbes, Tim Huang, Keiji Kanazawa, and Stuart Russell. The batmobile: Towards a bayesian automated taxi. In Proc. of the 14th Int. Joint Conf. on AI (IJCAI'95), pages 1878–1885, 1995.
E.J. Horvitz, H.J. Suermondt, and G.F. Cooper. Bounded conditioning: Flexible inference for decisions under scarce resources. In Proc. of the 5th Workshop on Uncertainty in AI, pages 182–193, 1989.
Uffe Kjaerulff. Reduction of computation complexity in bayesian networks through removal of weak dependencies. In Proc. of 10th Conf. on UAI, pages 374–382, 1994.
S.L. Lauritzen and D.J. Spiegelhalter. Local computations with probabilities on graphical structures and their applications to expert systems. Journal of the Royal Statistical Society, 50(2):157–224, 1988.
A.E. Nicholson and N. Jitnah. Belief network algorithms: a study of performance based on domain characterisation. Technical Report 96/249, Department of Computer Science, Monash University, 1996.
J. Pearl. Probabilistic Reasoning In Intelligent Systems: Networks of Plausible Inference. Morgan Kaufmann, 1988.
K. L. Poh and E Horvitz. Topological proximity and relevance in graphical decision models. In Proc. of 12th Conf. on UAI, pages 427–435, 1996.
M. Wellman and C. Liu. State-space abstraction for anytime evaluation of probabilistic networks. In Proc. of 10th Conf. on UAI, pages 567–574, 1994.
N. Zhang and D. Poole. Exploiting causal independence in bayesian network inference. Journal of Artificial Intelligence Research, 5:301–328, 1996.
S. Zilberstein. Composition and monitoring of anytime alforithms. In IJCAI 95: Anytime Algorithms and Deliberation Scheduling Workshop, pages 14–21, 1995.
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© 1997 Springer-Verlag Berlin Heidelberg
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Jitnah, N., Nicholson, A. (1997). TreeNets: A framework for anytime evaluation of belief networks. In: Gabbay, D.M., Kruse, R., Nonnengart, A., Ohlbach, H.J. (eds) Qualitative and Quantitative Practical Reasoning. FAPR ECSQARU 1997 1997. Lecture Notes in Computer Science, vol 1244. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0035634
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DOI: https://doi.org/10.1007/BFb0035634
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