Skip to main content

Exploiting Innocuousness in Bayesian Networks

  • Conference paper
  • First Online:
  • 1499 Accesses

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 9457))

Abstract

Boolean combination functions in Bayesian networks, such as noisy-or, are often credited a property stating that inactive dependences (e.g., observed to false) do not “cause any harm” and an arc becomes vacuous and could have been left out. However, in classic Bayesian networks we are not able to express this property in local CPDs. By using novel ADBNs, we formalize the innocuousness property in CPDs and extend previous work on context-specific independencies. With an explicit representation of innocuousness in local CPDs, we provide a higher causal accuracy for CPD specifications and open new ways for more efficient and less-restricted reasoning in (A)DBNs.

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

Buying options

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 EPUB and 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

Learn about institutional subscriptions

References

  1. Antonucci, A.: The imprecise noisy-OR gate. In: 14th International Conference on Information Fusion, pp. 1–7. IEEE (2011)

    Google Scholar 

  2. Boutilier, C., Friedman, N., Goldszmidt, M., Koller, D.: Context-specific independence in Bayesian networks. In: 12th Conference on Uncertainty in Artificial Intelligence, pp. 115–123 (1996)

    Google Scholar 

  3. Cozman, F.G.: Axiomatizing noisy-OR. In: 16th Eureopean Conference on Artificial Intelligence, p. 979 (2004)

    Google Scholar 

  4. Heckerman, D., Breese, J.S.: Causal independence for probability assessment and inference using Bayesian networks. IEEE Trans. Syst. Man Cybern. Part A Syst. Hum. 26(6), 826–831 (1996)

    Article  Google Scholar 

  5. Henrion, M.: Practical issues in constructing a Bayes belief network. Int. J. Approximate Reasoning 2(3), 337 (1988)

    MathSciNet  Google Scholar 

  6. Jaeger, M.: Relational Bayesian networks. In: 13th Conference on Uncertainty in Artificial Intelligence, pp. 266–273 (1997)

    Google Scholar 

  7. Motzek, A., Möller, R.: Indirect causes in dynamic Bayesian networks revisited. In: 24th International Joint Conference on Artificial Intelligence, pp. 703–709. AAAI (2015)

    Google Scholar 

  8. Pearl, J.: Reasoning with cause and effect. AI Mag. 23(1), 1–83 (2002)

    Google Scholar 

  9. Poole, D., Zhang, N.L.: Exploiting contextual independence in probabilistic inference. J. Artif. Intell. Res. 18, 263–313 (2003)

    MathSciNet  MATH  Google Scholar 

  10. Sloane, N.J.A.: The on-line encyclopedia of integer sequences. OEIS Foundation Inc., Sequences A003024 & A001831 (2015). http://oeis.org/

  11. Srinivas, S.: A generalization of the noisy-OR model. In: 9th International Conference on Uncertainty in Artificial Intelligence, pp. 208–215 (1993)

    Google Scholar 

  12. Zagorecki, A., Druzdzel, M.J.: Probabilistic independence of causal influences. In: 3rd European Workshop on Probabilistic Graphical Models, pp. 325–332 (2006)

    Google Scholar 

  13. Zhang, N.L., Poole, D.: Exploiting causal independence in Bayesian network inference. J. Artif. Intell. Res. 5, 301–328 (1996)

    MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Alexander Motzek .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2015 Springer International Publishing Switzerland

About this paper

Cite this paper

Motzek, A., Möller, R. (2015). Exploiting Innocuousness in Bayesian Networks. In: Pfahringer, B., Renz, J. (eds) AI 2015: Advances in Artificial Intelligence. AI 2015. Lecture Notes in Computer Science(), vol 9457. Springer, Cham. https://doi.org/10.1007/978-3-319-26350-2_36

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-26350-2_36

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-26349-6

  • Online ISBN: 978-3-319-26350-2

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics