About this Journal Submit a Manuscript Table of Contents
Abstract and Applied Analysis
Volume 2012 (2012), Article ID 579543, 9 pages
http://dx.doi.org/10.1155/2012/579543
Research Article

Structural Learning about Directed Acyclic Graphs from Multiple Databases

School of Mathematical Sciences, Shandong Normal University, Jinan 250014, China

Received 5 October 2012; Accepted 19 November 2012

Academic Editor: Xiaodi Li

Copyright © 2012 Qiang Zhao. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. R. G. Cowell, A. P. Dawid, S. L. Lauritzen, and D. J. Spiegelhalter, Probabilistic Networks and Expert Systems, Springer-Verlag, New York, NY, USA, 1999. View at Zentralblatt MATH
  2. S. L. Lauritzen, Graphical Models, Oxford University Press, Oxford, UK, 1996. View at Zentralblatt MATH
  3. J. Pearl, Causality: Models, Reasoning, and Inference, Cambridge University Press, Cambridge, UK, 2000. View at Zentralblatt MATH
  4. P. Spirtes, C. Glymour, and R. Scheines, Causation, Prediction and Search, MIT Press, Cambridge, Mass, USA, 2nd edition, 2000.
  5. X. Xie, Z. Geng, and Q. Zhao, “Decomposition of structural learning about directed acyclic graphs,” Artificial Intelligence, vol. 170, no. 4-5, pp. 422–439, 2006. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  6. T. Richardson and P. Spirtes, “Ancestral graph Markov models,” The Annals of Statistics, vol. 30, no. 4, pp. 962–1030, 2002. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  7. A. P. Dawid, “Conditional independence in statistical theory,” Journal of the Royal Statistical Society B, vol. 41, no. 1, pp. 1–31, 1979. View at Zentralblatt MATH
  8. C. Beeri, R. Fagin, D. Maier, and M. Yannakakis, “On the desirability of acyclic database schemes,” Journal of the Association for Computing Machinery, vol. 30, no. 3, pp. 479–513, 1983. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  9. C. Berge, Graphs and Hypergraphs, North-Holland Publishing, Amsterdam, The Netherlands, 2nd edition, 1976.
  10. Z. Geng, K. Wan, and F. Tao, “Mixed graphical models with missing data and the partial imputation EM algorithm,” Scandinavian Journal of Statistics, vol. 27, no. 3, pp. 433–444, 2000. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  11. I. Beinlich, H. Suermondt, R. Chavez, and G. Cooper, “The ALARM moni- toring system: a case study with two probabilistic inference techniques for belief networks,” in Proceedings of the 2nd European Conference on Artificial Intelligence in Medicine, pp. 247–256, Springer-Verlag, Berlin, Germany, 1989.
  12. D. Heckerman, “A tutorial on learning with Bayesian networks,” in Learning in Graphical Models, M. I. Jordan, Ed., pp. 301–354, Kluwer Academic, Dodrecht, The Netherlands, 1998.