Title
Bayesian Inference In Treewidth-Bounded Graphical Models Without Indegree Constraints
Abstract
We present new polynomial time algorithms for inference problems in Bayesian networks (BNs) when restricted to instances that satisfy the following two conditions: they have bounded treewidth and the conditional probability table (CPT) at each node is specified concisely using an r-symmetricfunction for some constant r. Our polynomial time algorithms work directly on the unmoralized graph. Our results significantly extend known results regarding inference problems on treewidth bounded BNs to a larger class of problem instances. We also show that relaxing either of the conditions used by our algorithms leads to computational intractability.
Year
Venue
Field
2014
UNCERTAINTY IN ARTIFICIAL INTELLIGENCE
Bayesian inference,Computer science,Artificial intelligence,Treewidth,Time complexity,Discrete mathematics,Mathematical optimization,Combinatorics,Inference,Bayesian network,Graphical model,Machine learning,Conditional probability table,Bounded function
DocType
Citations 
PageRank 
Conference
1
0.35
References 
Authors
19
4
Name
Order
Citations
PageRank
Daniel J. Rosenkrantz126471114.92
Madhav Marathe22775262.17
Ravi Sundaram376272.13
Anil Kumar S. Vullikanti4113598.30