Abstract
We present an optimization to elimination tree inference in Bayesian networks through the use of unlabeled nodes, or nodes that are not labeled with a variable from the Bayesian network. Through the use of these unlabeled nodes, we are able to restructure these trees, and reduce the amount of computation performed during the inference process. Empirical tests show that the algorithm can reduce multiplications by up to 70%, and overall runtime by up to 50%.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Allen, D., Darwiche, A.: New Advances In Inference By Recursive Conditioning. In: Proceedings of the 19th Conference on Uncertainty in Artificial Intelligence, pp. 2–10 (2003)
Cooper, G.F.: The Computational Complexity of Probabilistic Inference using Bayesian Belief Networks. Artificial Intelligence 42, 393–405 (1990)
Darwiche, A.: Recursive Conditioning: Any-space Conditioning algorithm with Treewidth-bounded Complexity. Artificial Intelligence, 5–41 (2000)
Darwiche, A., Hopkins, M.: Using Recursive Decomposition to Construct Elimination Orders, Jointrees and Dtrees. In: Benferhat, S., Besnard, P. (eds.) ECSQARU 2001. LNCS (LNAI), vol. 2143, pp. 180–191. Springer, Heidelberg (2001)
Grant, K.: Efficient Indexing for Recursive Conditioning Algorithms. In: Proceedings of the the 23rd International FLAIRS Conference, pp. 537–542 (2010)
Grant, K., Horsch, M.: Conditioning Graphs: Practical Structures for Inference in Bayesian Networks. In: Proceedings of the The 18th Australian Joint Conference on Artificial Intelligence, pp. 49–59 (2005)
Grant, K., Horsch, M.C.: Methods for Constructing Balanced Elimination Trees and other Recursive Decompositions. International Journal of Approximate Reasoning 50(9), 1416–1424 (2009)
Lauritzen, S., Spiegelhalter, D.: Local Computations with Probabilities on Graphical Structures and Their Application to Expert Systems. J. Royal Statistical Society 50, 157–224 (1988)
Li, Z., D’Ambrosio, B.: Efficient Inference in Bayes Networks as a Combinatorial Optimization Problem. Int. J. Approx. Reasoning 11(1), 55–81 (1994)
Monti, S., Cooper, G.F.: Bounded Recursive Decomposition: a Search-based Method for Belief-network Inference under Limited Resources. International Journal of Approximate Reasoning 15(1), 49–75 (1996)
Poole, D., Mackworth, A., Goebel, R.: Computational Intelligence. Oxford University Press, Oxford (1998)
Zhang, N., Poole, D.: A Simple Approach to Bayesian Network Computations. In: Proceedings of the 10th Canadian Conference on Artificial Intelligence, pp. 171–178 (1994)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2010 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Grant, K., Scholten, K. (2010). On the Structure of Elimination Trees for Bayesian Network Inference. In: Sidorov, G., Hernández Aguirre, A., Reyes GarcÃa, C.A. (eds) Advances in Soft Computing. MICAI 2010. Lecture Notes in Computer Science(), vol 6438. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-16773-7_18
Download citation
DOI: https://doi.org/10.1007/978-3-642-16773-7_18
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-16772-0
Online ISBN: 978-3-642-16773-7
eBook Packages: Computer ScienceComputer Science (R0)