[1]杨有龙,刘? 蔚,吴?? 艳.贝叶斯网络的非忠实性分布[J].智能系统学报,2009,4(4):335-338.
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.
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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.
贝叶斯网络的非忠实性分布
《智能系统学报》[ISSN 1673-4785/CN 23-1538/TP] 卷:
4
期数:
2009年第4期
页码:
335-338
栏目:
学术论文—人工智能基础
出版日期:
2009-08-25
- Title:
- Unfaithful distributions with respect to Bayesian networks
- 文章编号:
- 1673-4785(2009)04-0335-04
- Keywords:
- Bayesian networks; faithful distributions; graphical models
- 分类号:
- TP181；O235；O29
- 文献标志码:
- A
- 摘要:
- 贝叶斯网络是图论和概率论有机融合的概率图形模型，主要用于统计推理和智能数据分析. 理论上通常假设由基于分布的独立关系可推出基于图结构的d分割，即贝叶斯网络上的分布是忠实的. 针对布尔域上的贝叶斯网络, 研究了非忠实分布的构成，提出了贝叶斯网络上分布延拓的概念，得到忠实分布与非忠实分布的平凡延拓均是非忠实分布.
- Abstract:
- Bayesian networks are a marriage between probability theory and graph theory, and thus are probabilistic graphical models. They are mainly used for statistical inference and intelligent data analysis. It is usually supposed that the network retains the dseparation criterion that characterize graph structure from the independence constraints based on distribution, that is, the distribution is a faithful distribution with respect to a Bayesian network. In this paper, some unfaithful distributions are characterized with respect to discrete Bayesian networks in a Boolean domain. It was shown that distributions trivially expanded from faithfulness or unfaithfulness are unfaithful distributions with respect to Bayesian networks.
- 参考文献/References:
-
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?［8］YANG Youlong, WU Yan. VC dimension and inner product space induced by Bayesian networks［J］. International Journal of Approximate Reasoning, 2009, 50(7): 10361045.
［9］杨有龙，高晓光.基于BD度量的局部网络结构分析［J］.模式识别与人工智能，2003，16（1）：1721.
?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):1721.
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备注/Memo
收稿日期：2009-05-07.
基金项目：国家自然科学基金资助项目（60574075）.
通信作者：杨有龙.E-mail:ylyang@mail.xidan.edu.cn
作者简介：
杨有龙，男，1967年生，博士，教授，硕士生导师，现为陕西省数学会理事，主要研究方向为图形模型、数据分类和智能优化等，参加的科研项目荣获2005年度陕西省科学技术奖二等奖；2005年陕西高等学校科学技术奖一等奖；2008年陕西高等学校科学技术奖二等奖.发表学术论文30 余篇.
?刘 蔚，女，1986年生，硕士研究生，主要研究方向为数据融合和贝叶斯网络.
吴 艳，女，1969年生，副教授，主要研究方向为图形模型、选址问题及优化理论.
更新日期/Last Update:
2009-11-16