Title
Variable elimination for influence diagrams with super value nodes
Abstract
In the original formulation of influence diagrams (IDs), each model contained exactly one utility node. In 1990, Tatman and Shachtar introduced the possibility of having super value nodes that represent a combination of their parents' utility functions. They also proposed an arc-reversal algorithm for IDs with super value nodes. In this paper we propose a variable-elimination algorithm for influence diagrams with super value nodes which is faster in most cases, requires less memory in general, introduces much fewer redundant (i.e., unnecessary) variables in the resulting policies, may simplify sensitivity analysis, and can speed up inference in IDs containing canonical models, such as the noisy OR.
Year
DOI
Venue
2010
10.1016/j.ijar.2009.11.004
Int. J. Approx. Reasoning
Keywords
Field
DocType
original formulation,utility function,super value nodes,utility node,super value node,variable-elimination algorithm,variable elimination,influence diagram,canonical model,fewer redundant,sensitivity analysis,arc-reversal algorithm,influence diagrams
Variable elimination,Inference,Algorithm,Canonical model,Influence diagram,Redundancy (engineering),Mathematics,Utility theory,Speedup
Journal
Volume
Issue
ISSN
51
6
International Journal of Approximate Reasoning
Citations 
PageRank 
References 
3
0.49
21
Authors
2
Name
Order
Citations
PageRank
Manuel Luque161.34
Francisco Javier Díez215018.73