帮助 关于我们

返回检索结果

A New Algorithm for Decomposition of Graphical Models

查看参考文献31篇

文摘 In this paper, we combine Leimer’s algorithm with MCS-M algorithm to decompose graphical models into marginal models on prime blocks. It is shown by experiments that our method has an easier and faster implementation than Leimer’s algorithm.
来源 Acta Mathematicae Applicatae Sinica-English Series ,2012,28(3):571-582 【核心库】
DOI 10.1007/s10255-012-0170-6
关键词 decomposition ; graphical models ; MCS-M algorithm ; Leimer’s algorithm ; prime blocks
地址

School of Mathematics and Statistics, Northeast Normal University, Changchun, 130024

语种 英文
ISSN 0168-9673
学科 数学;自动化技术、计算机技术
基金 国家自然科学基金 ;  the Jilin Project
文献收藏号 CSCD:4622834

参考文献 共 31 共2页

1.  Berry A. Maximum cardinality search for computing minimal triangulations of graph. Algorithmica,2004,39:287-298 CSCD被引 6    
2.  Blair J R S. An introduction to chordal graphs and clique trees. Graph Theory and Sparse Matrix Computation, IMA Volumes in Mathematics and its Applications, 56,1993:1-30 CSCD被引 3    
3.  Dempster A P. Covariance selection. Biometrics,1972,28:157-175 CSCD被引 15    
4.  Darroch J N. Markov-fields and log-linear models for contingency tables. Annals of Statistics,1980,8:522-539 CSCD被引 1    
5.  Flores M J. Triangulation of Bayesian networks by retriangulation. International Journal of Intelligent Systems,2003,18(2):153-164 CSCD被引 2    
6.  Friedman N. Inferring cellular networks using probabilistic graphical models. Science,2004,303:799-805 CSCD被引 37    
7.  Geng Z. Algorithm AS244: Decomposability and collapsibility for log-linear models. Applied Statistics,1989,38:189-197 CSCD被引 1    
8.  Geng Z. Decomposition of search for v-structures in DAGs. Journal of Multivariate Analysis,2005,96:282-294 CSCD被引 5    
9.  Jirousek R. On the effective implementation of the iterative proportional fitting procedure. Computational Statistics & Data Analysis,1995,19:177-189 CSCD被引 2    
10.  Lauritzen S L. Graphical Models,1996 CSCD被引 45    
11.  Lauritzen S L. Lectures on Contingency Tables,2002 CSCD被引 1    
12.  Lauritzen S L. Local computations with probabilities on graphical structures and their application to expert systems (with discussion). Journal of the Royal Statistical Society, Series B,1998,50:157-224 CSCD被引 1    
13.  Lauritzen S L. Graphical models for associations between variables, some of which are qualitative and some quantitative. Annals of Statistics,1989,17:31-57 CSCD被引 7    
14.  Leimer H G. Optimal decomposition by cliques separators. Discrete Mathematics,1993,113:99-123 CSCD被引 4    
15.  Liu B H. A note on minimal d-separation trees for structural learning. Artificial Intelligence,2010,174:442-448 CSCD被引 7    
16.  Ma S. An Arabidopsis gene network based on the graphical Gaussian model. Genome Research,2007,17:1614-1625 CSCD被引 10    
17.  Malvestuto F M. A hypergraph-theoretic analysis of collapsibility and decomposability for extended loglinear models. Statistics and Computing,2001,11(2):155-169 CSCD被引 1    
18.  Olesen K. Maximal prime subgraph decomposition of Bayesian networks. IEEE Transactions on Systems, Man and Cybernetics, B,2002,32:21-31 CSCD被引 9    
19.  Pearl J. Causality: Models, Reasoning, and Inference,2000 CSCD被引 25    
20.  Rose D J. Algorithmic aspects of vertex elimination on graphs. SIAM Journal on Computing,1976,5:266-283 CSCD被引 12    
引证文献 1

1 孙聚波 高斯图模型的基于联接树改进的IPSP算法 应用概率统计,2018,34(3):319-330
CSCD被引 0 次

显示所有1篇文献

论文科学数据集
PlumX Metrics
相关文献

 作者相关
 关键词相关
 参考文献相关

版权所有 ©2008 中国科学院文献情报中心 制作维护:中国科学院文献情报中心
地址:北京中关村北四环西路33号 邮政编码:100190 联系电话:(010)82627496 E-mail:cscd@mail.las.ac.cn 京ICP备05002861号-4 | 京公网安备11010802043238号