Skip to main content

Equivalence Between Bayesian and Credal Nets on an Updating Problem

  • Chapter
Soft Methods for Integrated Uncertainty Modelling

Part of the book series: Advances in Soft Computing ((AINSC,volume 37))

  • 615 Accesses

Abstract

We establish an intimate connection between Bayesian and credal nets. Bayesian nets are precise graphical models, credal nets extend Bayesian nets to imprecise probability. We focus on traditional belief updating with credal nets, and on the kind of belief updating that arises with Bayesian nets when the reason for the missingness of some of the unobserved variables in the net is unknown. We show that the two updating problems are formally the same.

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

Access this chapter

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever

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.

Similar content being viewed by others

References

  1. A. Cano, J. Cano, and S. Moral. Convex sets of probabilities propagation by simulated annealing on a tree of cliques. In Proceedings of the Fifth International Conference (IPMU ’94), pages 978–983, Paris, 1994.

    Google Scholar 

  2. A. Cano and S. Moral. Using probability trees to compute marginals with imprecise probabilities. Int. J. Approx. Reasoning, 29(1):1–46, 2002.

    Article  MATH  MathSciNet  Google Scholar 

  3. F.G. Cozman. Graphical models for imprecise probabilities. Int. J. Approx. Reasoning, 39(2–3):167–184, 2005.

    Article  MATH  MathSciNet  Google Scholar 

  4. G. de Cooman and M. Zaffalon. Updating beliefs with incomplete observations. Artificial Intelligence, 159:75–125, 2004.

    Article  MATH  MathSciNet  Google Scholar 

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

    Google Scholar 

  6. P. Walley. Statistical Reasoning with Imprecise Probabilities. Chapman and Hall, New York, 1991.

    MATH  Google Scholar 

  7. M. Zaffalon. Conservative rules for predictive inference with incomplete data. In F.G. Cozman, R. Nau, and T. Seidenfeld, editors, Proceedings of the Fourth International Symposium on Imprecise Probabilities and Their Applications (ISIPTA ’05), pages 406–415, Pittsburgh, 2005.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2006 Springer

About this chapter

Cite this chapter

Antonucci, A., Zaffalon, M. (2006). Equivalence Between Bayesian and Credal Nets on an Updating Problem. In: Lawry, J., et al. Soft Methods for Integrated Uncertainty Modelling. Advances in Soft Computing, vol 37. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-34777-1_27

Download citation

  • DOI: https://doi.org/10.1007/3-540-34777-1_27

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-34776-7

  • Online ISBN: 978-3-540-34777-4

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics