Skip to main content

Arc Weights for Approximate Evaluation of Dynamic Belief Networks

  • Conference paper
Advanced Topics in Artificial Intelligence (AI 1999)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 1747))

Included in the following conference series:

Abstract

Dynamic Belief Networks (DBNs) have become a popular method for monitoring dynamical processes in real-time. However DBN evaluation has the same problems of computational intractability as ordinary belief networks, with additional exponential complexity as the number of time-slices increases. Several approximate methods for fast DBN evaluation have been devised [1,3,11]. We present a new method which simplifies evaluation by selectively “forgetting” past events and their relationships to the present. This is done by pruning, from past time-slices, arcs and nodes which are deemed less relevant to the current time-slice, as determined by the arc weight measure introduced in [15]. This approach is more flexible than a fixed-size window and can be combined with other approximate evaluation techniques.

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. X. Boyen and D. Roller. Tractable inference for complex stochastic processes. In UAI’98, pp 33–42, 1998.

    Google Scholar 

  2. Norsys Software Corp. Netica. http://www.norsys.com/.

  3. P. Dagum and A. Galper. Forecasting sleep apnea with dynamic network models. In UAI’93, pp 65–71, 1993.

    Google Scholar 

  4. B. D’Ambrosio. Incremental probabilistic inference. In UAI’93, pp 301–308, 1993.

    Google Scholar 

  5. Thomas Dean and Keiji Kanazawa. A model for reasoning about persistence and causation. Computational Intelligence, 5:142–150, 1989.

    Article  Google Scholar 

  6. Thomas Dean and Michael P. Wellman. Planning and control. Morgan Kaufman Publishers, San Mateo, Ca., 1991.

    Google Scholar 

  7. Denise L. Draper and Steve Hanks. Localized partial evaluation of a belief network. In UAI’94, pp 170–177, 1994.

    Google Scholar 

  8. Jeff Forbes, Tim Huang, Keiji Kanazawa, and Stuart Russell. The BATmobile: Towards a Bayesian automated taxi. In IJCAI’95, pp 1878–1885, 1995.

    Google Scholar 

  9. Finn V. Jensen, Uffe Kjærulff, Kristian G. Olesen, and Jan Pedersen. Et forprojekt til et ekspertsystem for drift af spildevandsrensning (an expert system for control of waste water treatment — a pilot project). Technical report, Judex Datasysterner A/S, Aalborg, Denmark, 1989. In Danish.

    Google Scholar 

  10. N. Jitnah. Arc Weights for Approximate Evaluation of Bayesian Networks. PhD thesis, Monash University, School of Computer Science and Software Engineering, 1999.

    Google Scholar 

  11. K. Kanazawa, D. Koller, and S. Russell. Stochastic simulation algorithms for Dynamic Probabilistic Networks. In UAI’95, pp 346–351, 1995.

    Google Scholar 

  12. U. Kjærulff. A computational scheme for reasoning in Dynamic Probabilistic Net works. In UAI’92, pp 121–129, 1992.

    Google Scholar 

  13. Uffe Kjaerulff. Reduction of computation complexity in bayesian networks through removal of weak dependencies. In UAI’94, pp 374–382, 1994.

    Google Scholar 

  14. A. E. Nicholson and J. M. Brady. Dynamic belief networks for discrete monitoring. IEEE Systems, Man and Cybernetics, 24(11):1593–1610, 1994.

    Article  Google Scholar 

  15. Ann E. Nicholson and Nathalie Jitnah. Using Mutual Information to determine relevance in Bayesian Networks. In Hing-Yan Lee and Hiroshi Motoda, editors, PRICAI’98: Topics in Artificial Intelligence, volume 1531 of LNCS/LNAI Series, pp 399–410, Singapore, 1998. Springer.

    Chapter  Google Scholar 

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

    Google Scholar 

  17. K. L. Poh and E Horvitz. Topological proximity and relevance in graphical decision models. In UAI’96, pp 427–435, 1996.

    Google Scholar 

  18. C. E. Shannon and W. Weaver. The mathematical theory of communication. University of Illinois Press, 1949.

    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 paper

Cite this paper

Jitnah, N., Nicholson, A.E. (1999). Arc Weights for Approximate Evaluation of Dynamic Belief Networks. In: Foo, N. (eds) Advanced Topics in Artificial Intelligence. AI 1999. Lecture Notes in Computer Science(), vol 1747. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-46695-9_33

Download citation

  • DOI: https://doi.org/10.1007/3-540-46695-9_33

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-66822-0

  • Online ISBN: 978-3-540-46695-6

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics