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Abstract: This paper addresses the problem of synthesis and refinement of numerical parameters in belief networks from an algorithmic standpoint. Both Dempster-Shafer networks and Bayesian networks are considered. Section 2 formalizes the problem already described in this introduc- tion, by using the notion of case, in the Dempster-Shafer framework. Section 3 shows that the synthesis of masses in Dempster-Shafer networks from cases is NP-hard. Section 4 is devoted to the proof that the refinement of... (Update)
Context of citations to this paper: More
...first chapter of Pearl s book [Pearl, 1988] for a discussion of the tradeoff between complexity and soundness. See also [Wang and Valtorta, 1992] for a specific example of this tradeoff. To prove a refinement problem is NP hard or polynomially solvable, a particular set of...
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BibTeX entry: (Update)
Valtorta, M. and Loveland, D. (1992). On the complexity of belief network synthesis and refinement. International Journal of Approximate Reasoning, 7(3--4). http://citeseer.ist.psu.edu/valtorta92complexity.html More
@misc{ valtorta92complexity,
author = "M. Valtorta and D. Loveland",
title = "the complexity of belief network synthesis and refinement",
text = "Valtorta, M. and Loveland, D. (1992). On the complexity of belief network
synthesis and refinement. International Journal of Approximate Reasoning,
7(3--4).",
year = "1992",
url = "citeseer.ist.psu.edu/valtorta92complexity.html" }
Citations (may not include all citations):
1543
Probabilistic Reasoning in Intelligent Systems: Networks of .. (context) - Pearl - 1988
582
Local Computations with Probabilities on Graphical Struc- tu.. (context) - Lauritzen, Spiegelhalter - 1988
90
Neural Network Design and the Complexity of Learning (context) - Judd - 1990
67
Subjective Bayesian Methods for Rule-Based Inference Systems (context) - Duda, Hart et al. - 1976
61
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51
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49
MUNIN--A Causal Probabilistic Network for Interpretation of .. (context) - Andreassen, Woldbye et al. - 1987
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23
A Method for Managing Evidential Reasoning in a Hierarchical.. (context) - Gordon, Shortliffe - 1985
18
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14
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12
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10
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7
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7
The Elements of Artificial Intelligence Using Common LISP (context) - Tanimoto - 1990
7
Computers and lntractability: A Guide to the Theory of NP- C.. (context) - Garey, Johnson - 1979
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the Propagation of Beliefs in Networks Using the Dempster-Sh.. (context) - Mellouli - 1988
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- Orponen - 1990
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Machine Learning: Proceedings of the Sixth International Wor.. (context) - Segre - 1989
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