Estimating high dimensional faithful gaussian graphical models by low-order conditioning

Proceedings of the IASTED International Conference on Artificial Intelligence and Applications, AIA 2008

Volumn , Issue , 2008, Pages 1-6

  Malouche, Dhafer ^a   Sevestre Ghalila, Sylvie ^b,c  

^a UNIVERSITY OF CARTHAGE   (Tunisia)

^b UNIVERSITY OF TUNIS EL MANAR   (Tunisia)

^c UNIVERSITÉ PARIS DESCARTES   (France)

Author keywords

Graphical models; Markov properties; Multivariate normal distribution; Partial correlation

Indexed keywords

CARDINALITY; GAUSSIAN; GRAPHICAL MODELS; HIGH-DIMENSIONAL; MARKOV PROPERTIES; MULTIVARIATE NORMAL DISTRIBUTION; NESTED GRAPHS; PARTIAL CORRELATIONS; PARTIAL-CORRELATION; RECURSIVE ESTIMATIONS; SIMULATED DATUM; UNDIRECTED GRAPHS;

ARTIFICIAL INTELLIGENCE; GRAPHIC METHODS; SPEECH RECOGNITION; TRELLIS CODES;

NORMAL DISTRIBUTION;

EID: 62849125043     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (12)

1. Y. Benjamini and Y. Hochberg. Controlling the false discovery rate : a practical and powerful approach to multiple testing. J. R. Statist. Soc B., 57:289-300, 1995.
2. D. R. Cox and N.Wermuth. Multivariate Depencies : Models, Analysis and Interpretations. Chapman and Hall, 1996.
3. M. Drton and M. D. Perlman. Model selection for gaussian concentration graphs. Biometrika, 91:591-602., 2004.
4. D. Edwards. Introduction to graphical modelling. Springer texts in statistics, 2000.
5. N. Friedman, M. Linial, I. Nachman, and D. Pe'er. Using bayesian networks to analyse expression data. J. Comput. Biol., 7(3-4):601-620, 2000.
6. S. L. Lauritzen. Graphical Models. New York : Oxford University Press., 1996.
7. C. Meek. Graphical models: Selecting causal and statistical models. Master's thesis, Carnegie Mellon, 1997.
8. T. S. Richardson and P. Spirtes. Ancestral graph markov models. Ann. Statist., 30:962-1030, 2002.
9. H. Toh and K. Horimoto. Inference of genetic network by combined approach of cluster analysis and graphical gaussian modelling. Bioinformatics, 18(2):287-297, 2002.
10. J. Whittaker. Graphical models in Applied Multivariate Statistics. Wiley, 1990.
11. A.Will and P. Bühlman. Low-order conditional independence graphs for inferring genetic network. Statistical Applications in Genetics and Molecular Biology, 5:1-32, 2006.
12. X. Wu, Y. Ye, and K.R Subramanian. Interactive analysis of gene interactions using graphical gaussian model. In 3rd ACM SIGKDD Workshop on Data Mining in Bioinformatics, 2003.