Abstract
Simple Propagation (SP) is a new junction tree-based algorithm for probabilistic inference in discrete Bayesian networks. It is similar to Lazy Propagation, but uses a simpler approach to exploit the factorization during message computation. The message construction is based on a one-in, one-out-principle meaning a potential has at least one non-evidence variable in the separator and at least one non-evidence variable not in the separator. This paper considers the use of different tree structures to guide the message passing in SP and reports on an experimental analysis using a set of real-world Bayesian networks.
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References
Butz, C.J., Oliveira, J.S., dos Santos, A.E., Madsen, A.L.: Bayesian network inference with simple propagation. In: Proceedings of the Twenty-Ninth International FLAIRS Conference (2016)
Jensen, F.V., Jensen, F.: Optimal junction trees. In: Proceedings of UAI, pp. 360–366 (1994)
Madsen, A.L.: Variations over the message computation algorithm of lazy propagation. IEEE Trans. Syst. Man Cybern. Part B 36(3), 636–648 (2006)
Madsen, A.L., Butz, C.: On the tree structure used by lazy propagation for inference in Bayesian networks. In: van der Gaag, L.C. (ed.) ECSQARU 2013. LNCS, vol. 7958, pp. 400–411. Springer, Heidelberg (2013)
Madsen, A.L., Jensen, F.V.: Lazy propagation: a junction tree inference algorithm based on lazy evaluation. Artif. Intell. 113(1–2), 203–245 (1999)
Shachter, R.D.: Evaluating influence diagrams. Oper. Res. 34(6), 871–882 (1986)
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Madsen, A.L., Butz, C.J., Oliveira, J.S., dos Santos, A.E. (2016). On Tree Structures Used by Simple Propagation. In: Khoury, R., Drummond, C. (eds) Advances in Artificial Intelligence. Canadian AI 2016. Lecture Notes in Computer Science(), vol 9673. Springer, Cham. https://doi.org/10.1007/978-3-319-34111-8_26
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DOI: https://doi.org/10.1007/978-3-319-34111-8_26
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