[1]YANG You-long,LIU Wei,WU Yan.Unfaithful distributions with respect to Bayesian networks[J].CAAI Transactions on Intelligent Systems,2009,4(4):335-338.

Unfaithful distributions with respect to Bayesian networks

[1]CHICKERING D M, MEEK C. On the incompatibility of faithfulness and monotone DAG faithfulness[J]. Artificial Inteligence, 2006,170(8): 653666.
[2]MEEK C. Strong completeness and faithfulness in Bayesian networks[C]//Proceedings of the Eleventh Conference on Uncertainty in Artificial Intelligence. Morgan Kaufmann, San Mateo, USA,1995:411418.
[3]LEVITZ M, PERLMAN M D, MADIGAN D. Separation and completeness properties for ampchain graph Markov[J]. The Annals of Statistics, 2001, 29(6): 17511784.
[4]SLEZAK D. Degrees of conditional (in)dependence: a framework for approximate Bayesian networks and examples related to the rough setbased feature selection[J].Information Sciences,2009,179(3):197209.
?[5]SETTIMI R, SMITH J Q. Geometry, moments and conditional independence trees with hidden variables[J]. The Annals of Statistics,2000, 28(4): 11791205.
?[6]RICHARD E. Neapolitan. Learning Bayesian networks[M]. [S.l.]:Prentice Hall, 2003:102107.
[7]YANG Youlong, WU Yan. Inner product space and concept classes induced by Bayesian networks[J]. Acta Application Mathematicae, 2009, 106(3): 337348.
?[8]YANG Youlong, WU Yan. VC dimension and inner product space induced by Bayesian networks[J]. International Journal of Approximate Reasoning, 2009, 50(7): 10361045.
?YANG Youlong, GAO Xiaoguang. Analysis of structure of local networks based on the Bayesian dirichlet metric[J]. Pattern Recognition and Artificial Intelligence,2003, 16(1):1721.
CHEN Yingwu,GAO Yanfang. Survey of extended Bayesian networks[J].Control and Decision,2008,23(10):10811086,1091.
Similar References:



Last Update: 2009-11-16

Copyright © CAAI Transactions on Intelligent Systems