Skip to main content

A comparative analysis of Horn models and Bayesian Networks for diagnosis

  • Knowledge Representation 1
  • Conference paper
  • First Online:
AI*IA 97: Advances in Artificial Intelligence (AI*IA 1997)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 1321))

Included in the following conference series:

Abstract

The aim of the paper is to formally relate logical Horn models and Bayesian Networks (BNs) in the framework of diagnostic reasoning. This is pursued by pointing out similarities between the two formalisms at the modeling level and by introducing into BNs a suitable notion of derivation. We also discuss modeling issues underlying the choice of Horn-based models vs BNs, by making explicit the “completion semantics” underlying a BN. This correspondence between “completed” Horn theories and BNs allows us to formally justify classical diagnostic schemata adopted for BNs.

The work has been partially supported by CNR project SCI*SIA.

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

Access this chapter

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. C. Böttcher and O. Dressier. A framework for controlling model-based diagnosis with multiple actions. Annals of Mathematics and Artificial Intelligence, 11:241–262, 1994.

    Google Scholar 

  2. K. Clark. Negation as failure. In H. Gallaire and J. Minker, editors, Logic and Data Bases, pages 293–322. Plenum Press, 1978.

    Google Scholar 

  3. L. Console, L. Portinale, D. Theseider Dupre, and P. Torasso. Diagnosing time-varying misbehavior: an approach based on model decomposition. Annals of Mathematics and Artificial Intelligence, 11(1–4), 1994.

    Google Scholar 

  4. L. Console, D. Theseider Dupre, and P. Torasso. On the relationship between abduction and deduction. Journal of Logic and Computation, 1(5):661–690, 1991.

    Google Scholar 

  5. L. Console and P. Torasso. A spectrum of logical definitions of model-based diagnosis. Computational Intelligence, 7(3):133–141, 1991.

    Google Scholar 

  6. J. de Kleer, A. Mackworth, and R. Reiter. Characterizing diagnoses and systems. Artificial Intelligence, 56(2–3):197–222, 1992.

    Google Scholar 

  7. J. de Kleer and B.C. William. Diagnosis with behavioral modes. In Proc. 11th IJCAI, pages 1324–1330, Detroit, 1989.

    Google Scholar 

  8. J.W. Lloyd. Foundations of Logic Programming. Springer-Verlag, 1987.

    Google Scholar 

  9. R.E. Neapolitan. Probabilistic Reasoning in Expert Systems. J. Wiley, 1990.

    Google Scholar 

  10. J. Pearl. Probabilistic Reasoning in Intelligent Systems. Morgan Kaufmann, 1989.

    Google Scholar 

  11. D. Poole. Logic programming, abduction and probability. New Generation Computing, 11:377–400, 1993.

    Google Scholar 

  12. D. Poole. Probabilistic horn abduction and bayesian networks. Artificial Intelligence, 64(1):81–129, 1994.

    Google Scholar 

  13. D. Poole. Representing diagnosis knowledge. Annals of Mathematics and Artificial Intelligence, 11:33–50, 1994.

    Google Scholar 

  14. L. Portinale and P. Torasso. Diagnostic problem solving: Relating logical and probabilistic characterizations. Technical Report RT 40/97, Dip. Informatica, Universita' di Torino, 1997. ftp://ftp.di.unito.it/pub/portinal/tr40-97.ps.

    Google Scholar 

  15. M. Shanahan. Prediction is deduction but explanation is abduction. In Proc. 11th IJCAI, pages 1055–1060, Detroit, 1989.

    Google Scholar 

  16. S.E. Shimony. The role of relevance in explanation I. Int. Journal of Approximate Reasoning, 8:281–324, 1993.

    Google Scholar 

  17. P. Szolovits and S.G. Pauker. Categorical and probabilistic reasoning in medicine revisited. Artificial Intelligence, 59:167–180, 1993.

    Google Scholar 

  18. A. ten Teije and F. van Harmelen. An extended spectrum of logical definitions for diagnostic systems. In Proc. DX 94, New Paltz, 1994.

    Google Scholar 

  19. B. Wielinga, W Van de Velde, G. Schreiber, and H. Akkermans. Towards a unification of knowledge modelling approaches. In J-M. David, J-P Krivine, and R. Simmons, editors, Second Generation Expert Systems, pages 199–335. Springer Verlag, 1993.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Maurizio Lenzerini

Rights and permissions

Reprints and permissions

Copyright information

© 1997 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Portinale, L., Torasso, P. (1997). A comparative analysis of Horn models and Bayesian Networks for diagnosis. In: Lenzerini, M. (eds) AI*IA 97: Advances in Artificial Intelligence. AI*IA 1997. Lecture Notes in Computer Science, vol 1321. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-63576-9_113

Download citation

  • DOI: https://doi.org/10.1007/3-540-63576-9_113

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-63576-5

  • Online ISBN: 978-3-540-69601-8

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics