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Complexity of probabilistic reasoning in directed-path singly-connected Bayes networks

✍ Scribed by Solomon E Shimony; Carmel Domshlak


Book ID
104105283
Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
249 KB
Volume
151
Category
Article
ISSN
0004-3702

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✦ Synopsis


Directed-path (DP) singly-connected Bayesian networks are an interesting special case that, in particular, includes both polytrees and two-level networks. We analyze the computational complexity of these networks. The prediction problem is shown to be easy, as standard message passing can perform correct updating. However, diagnostic reasoning is hard even for DP singly-connected networks. In addition, finding the most-probable explanation (MPE) is hard, even without evidence. Finally, complexity of nearly DP singly-connected networks is analyzed.