DemocraticOP: A Democratic way of aggregating Bayesian network parameters

International Journal of Approximate Reasoning

Volumn 54, Issue 5, 2013, Pages 602-614

  Etminani, Kobra ^a   Naghibzadeh, Mahmoud ^a   Peña, Jose M ^b  

^a FERDOWSI UNIVERSITY OF MASHHAD   (Iran)

^b LINKÖPING UNIVERSITY   (Sweden)

Author keywords

Aggregation function; Bayesian networks; Parameter aggregation

Indexed keywords

ABSOLUTE VALUES; AGGREGATION FUNCTIONS; GROUND TRUTH; KULLBACK LEIBLER DIVERGENCE; NEW APPROACHES; PARAMETER AGGREGATIONS; RUNNING TIME;

BAYESIAN NETWORKS; PROBABILITY DISTRIBUTIONS;

AGGREGATES;

EID: 84875752136     PISSN: 0888613X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijar.2012.12.002     Document Type: Article

References (29)

1. D.M. Chickering Optimal Structure Identification with Greedy Search Journal of Machine Learning Research 3 2002 507 554
2. I. Tsamardinos, L.E. Brown, and C.F. Aliferis The max-min hill-climbing Bayesian network structure learning algorithm Machine Learning 65 1 2006 31 78
3. K. Etminani, M. Naghibzadeh, and A.R. Razavi Globally Optimal Structure Learning of Bayesian Networks from Data Lecture Notes in Computer Science 6352 2010 101 106
4. I. Matzkevich, B. Abramson, The Topological Fusion of Bayes Nets, Proceedings of the Eight Conference on Uncertainty in Artificial Intelligence, 191-198, 1992.
5. I. Matzkevich, B. Abramson, Some Complexity Considerations in the Combination of Belief Networks, Proceedings of the Ninth Conference on Uncertainty in Artificial Intelligence, 152-158, 1993.
6. I. Matzkevich, B. Abramson, Deriving a Minimal I-Map of a Belief Network Relative to a Target Ordering of its Nodes, Proceedings of the Ninth Conference on Uncertainty in Artificial Intelligence, 159-165, 1993.
7. P. Maynard-Reid II, U. Chajewska, Aggregating Learned Probabilistic Beliefs, Proceedings of the Seventeenth Conference in Uncertainty in Artificial Intelligence, 354-361, 2001.
8. S.H. Nielsen, and S. Parsons An Application of Formal Argumentation: Fusing Bayesian Networks in Multi-Agent Systems Artificial Intelligence 171 2007 754 775
9. D.M. Pennock, M.P. Wellman, Graphical Representations of Consensus Belief, Proceedings of the Fifteenth Conference on Uncertainty in Artificial Intelligence, 531-540, 1999.
10. M. Richardson, P. Domingos, Learning with Knowledge from Multiple Experts, Proceedings of the Twentieth International Conference on Machine Learning, 624-631, 2003.
11. J. del Sagrado, and S. Moral Qualitative Combination of Bayesian Networks International Journal of Intelligent Systems 18 2003 237 249
12. J.M. Peña Finding Consensus Bayesian Network Structures Journal of Artificial Intelligence Research 42 2011 661 687
13. J. Kracik Combining marginal probability distributions via minimization of weighted sum of Kullback-Leiblerdivergences International Journal of Approximate Reasoning 52 6 2011 659 671
14. E. Santos Jr., J.T. Wilkinson, and E.E. Santos Fusing multiple Bayesian knowledge sources International Journal of Approximate Reasoning 52 7 2011 935 947
15. M. stone The opinion pool Ann. Math. Statist. 32 1961 1339 1342
16. M. Bacharach, Scientific disagreement, unpublished manuscript, Christ Church, Oxford, 1972.
17. R.L. Winkler The consensus of subjective probability distributions Manag. Sci. 15 1968 B61 B75
18. P.A. Morris Decision analysis expert use Manag. Sci. 20 1974 1233 1241
19. P.A. Morris Combining expert judgments: a Bayesian approach Manag. Sci. 23 1977 679 693
20. C. Genest, and J.V. Zidek Combining probability distributions: A critique and an annotated bibliography Statistical Science 1 1 1986 114 148
21. K.A. Greene, G.F. Luger, Agreeing to disagree: leveraging consensus and divergence in Bayesian belief aggregation, Proceedings of the AAAI 2009 Spring Symposium. Presented in the Techno-Social Predictive Analytics workshop, 2009.
22. V. Batagelj, Analysis of large networks-islands, Presented at Dagstuhl seminar 03361: Algorithmic aspects of large and complex networks, 2003.
23. N.C. Dalkey. Toward a theory of group estimation, In H.A. Linstone and M. Turoff, editors, The Delphi Method: Techniques and Applications, 236-261. Addison-Wesley, Reading, MA, 1975.
24. C. Genest Pooling operators with the marginalization property Canadian Journal of Statistics 12 2 1984 153 163
25. C. Genest A conflict between two axioms for combining subjective distributions Journal of the Royal Statistical Society 46 3 1984 403 405
26. C. Genest A characterization theorem for externally Bayesian groups Annals of Statistics 12 3 1984 1100 1105
27. C. Genest, K.J. Mc-Conway, and M.J. Schervish Characterization of externally Bayesian pooling operators Annals of Statistics 14 2 1986 487 501
28. C. l Wagner Aggregating subjective probabilities: Some limitative theorems Notre Dame Journal of Formal Logic 25 3 1984 233 240
29. F. Wilcoxon Individual comparisons by ranking methods Biometrics Bulletin 1 6 1945 80 83