Skip to main content

Temporally Invariant Junction Tree for Inference in Dynamic Bayesian Network

  • Chapter
  • First Online:
Artificial Intelligence Today

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 1600))

  • 1245 Accesses

Abstract

Dynamic Bayesian networks (DBNs) extend Bayesian networks from static domains to dynamic domains. The only known generic method for exact inference in DBNs is based on dynamic expansion and reduction of active slices. It is effective when the domain evolves relatively slowly, but is reported to be “too expensive” for fast evolving domain where inference is under time pressure.

This study explores the stationary feature of problem domains to improve the efficiency of exact inference in DBNs. We propose the construction of a temporally invariant template of a DBN directly supporting exact inference and discuss issues in the construction. This method eliminates the need for the computation associated with dynamic expansion and reduction of the existing method. The method is demonstrated by experimental result.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. S. Andreassen, R. Hovorka, J. Benn, K.G. Olesen, and E.R. Carson. A model-based approach to insulin adjustment. In Proc. 3rd Conf. on Artificial Intelligence in Medicine, pages 239–248. Springer-Verlag, 1991.

    Google Scholar 

  2. G.F. Cooper. The computational complexity of probabilistic inference using Bayesian belief networks. Artificial Intelligence, 42(2–3):393–405, 1990.

    Article  MathSciNet  MATH  Google Scholar 

  3. P. Dagum, A. Galper, and E. Horvitz. Dynamic network models for forecasting. In D. Dubois, M.P. Wellman, B. D’Ambrosio, and P. Smets, editors, Proc. 8th Conf. on Uncertainty in Artificial Intelligence, pages 41–48, Stanford, CA, 1992.

    Google Scholar 

  4. P. Dagum and M. Luby. Approximating probabilistic inference in Bayesian belief networks is NP-hard. Artificial Intelligence, 60(1):141–153, 1993.

    Article  MathSciNet  MATH  Google Scholar 

  5. T.L. Dean and K. Kanazawa. A model for reasoning about persistence and causation. Computational Intelligence, (5):142–150, 1989.

    Article  Google Scholar 

  6. T.L. Dean and M.P. Wellman. Planning and Control. Morgan Kaufmann, 1991.

    Google Scholar 

  7. J. Forbes, T. Huang, K. Kanazawa, and S. Russell. The batmobile: towards a bayesian automated taxi. In Proc. Fourteenth International Joint Conf. on Artificial Intelligence, pages 1878–1885, Montreal, Canada, 1995.

    Google Scholar 

  8. F.V. Jensen, S.L. Lauritzen, and K.G. Olesen. Bayesian updating in causal probabilistic networks by local computations. Computational Statistics Quarterly, (4):269–282, 1990.

    MathSciNet  MATH  Google Scholar 

  9. U. Kjaerulff. A computational scheme for reasoning in dynamic probabilistic networks. In D. Dubois, M.P. Wellman, B. D’Ambrosio, and P. Smets, editors, Proc. 8th Conf. on Uncertainty in Artificial Intelligence, pages 121–129, Stanford, CA, 1992.

    Google Scholar 

  10. J. Pearl. Probabilistic Reasoning in Intelligent Systems: Networks of Plausible Inference. Morgan Kaufmann, 1988.

    Google Scholar 

  11. D.J. Rose, R.E. Tarjan, and G.S. Lueker. Algorithmic aspects of vertex elimination on graphs. SIAM J. Computing, 5:266–283, 1976.

    Article  MathSciNet  MATH  Google Scholar 

  12. W.X. Wen. Optimal decomposition of belief networks. In Proc. 6th Conf. on Uncertainty in Artificial Intelligence, pages 245–256, 1990.

    Google Scholar 

  13. Y. Xiang, D. Poole, and M. P. Beddoes. Multiply sectioned Bayesian networks and junction forests for large knowledge based systems. Computational Intelligence, 9(2):171–220, 1993.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1999 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Xiang, Y. (1999). Temporally Invariant Junction Tree for Inference in Dynamic Bayesian Network. In: Wooldridge, M.J., Veloso, M. (eds) Artificial Intelligence Today. Lecture Notes in Computer Science(), vol 1600. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-48317-9_20

Download citation

  • DOI: https://doi.org/10.1007/3-540-48317-9_20

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-66428-4

  • Online ISBN: 978-3-540-48317-5

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics