Skip to main content

Efficient Multiple Query Answering in Switched Probabilistic Relational Models

  • Conference paper
  • First Online:

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 11919))

Abstract

By accounting for context-specific independences, the size of a model can be drastically reduced, thereby making the underlying inference problem more manageable. Switched probabilistic relational models contain explicit context-specific independences. To efficiently answer multiple queries in switched probabilistic relational models, we combine the advantages of propositional gate models for context-specific independences and the lifted junction tree algorithm for answering multiple queries in probabilistic relational models. Specifically, this paper contributes (i) variable elimination in gate models, (ii) applying the lifting idea to gate models, defining switched probabilistic relational models, enabling lifted variable elimination in computations, and (iii) the switched lifted junction tree algorithm to answer multiple queries in such models efficiently. Empirical results show that using context-specific independence speeds up even lifted inference significantly.

This research originated from the Big Data project being part of Joint Lab 1, funded by Cisco Systems Germany, at the centre COPICOH, University of Lübeck.

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. Ahmadi, B., Kersting, K., Mladenov, M., Natarajan, S.: Exploiting symmetries for scaling loopy belief propagation and relational training. Mach. Learn. 92(1), 91–132 (2013)

    Article  MathSciNet  Google Scholar 

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

    Google Scholar 

  3. Braun, T., Möller, R.: Lifted junction tree algorithm. In: Friedrich, G., Helmert, M., Wotawa, F. (eds.) KI 2016. LNCS (LNAI), vol. 9904, pp. 30–42. Springer, Cham (2016). https://doi.org/10.1007/978-3-319-46073-4_3

    Chapter  Google Scholar 

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

    Article  MathSciNet  Google Scholar 

  5. Gogate, V., Domingos, P.M.: Probabilistic theorem proving. In: UAI 2011, Proceedings of the Twenty-Seventh Conference on Uncertainty in Artificial Intelligence, Barcelona, Spain, 14–17 July 2011, pp. 256–265. AUAI Press (2011)

    Google Scholar 

  6. Lauritzen, S.L., Spiegelhalter, D.J.: Local computations with probabilities on graphical structures and their application to expert systems. J. Roy. Stat. Soc.: Ser. B (Methodol.) 50(2), 157–224 (1988)

    MathSciNet  MATH  Google Scholar 

  7. Minka, T., Winn, J.: Gates. In: Advances in Neural Information Processing Systems, pp. 1073–1080 (2009)

    Google Scholar 

  8. Pearl, J.: Causality. Cambridge University Press, Cambridge (2009)

    Book  Google Scholar 

  9. Poole, D.: First-order probabilistic inference. In: Proceedings of IJCAI, vol. 3, pp. 985–991 (2003)

    Google Scholar 

  10. Richardson, M., Domingos, P.: Markov logic networks. Mach. Learn. 62(1), 107–136 (2006)

    Article  Google Scholar 

  11. Shafer, G.R., Shenoy, P.P.: Probability propagation. Ann. Math. Artif. Intell. 2(1), 327–351 (1990)

    Article  MathSciNet  Google Scholar 

  12. Shenoy, P.P., Shafer, G.R.: Axioms for probability and belief-function propagation. Uncertain. Artif. Intell. 9, 169–198 (1990)

    MathSciNet  Google Scholar 

  13. Taghipour, N., Fierens, D., Davis, J., Blockeel, H.: Lifted variable elimination: decoupling the operators from the constraint language. J. Artif. Intell. Res. 47(1), 393–439 (2013)

    Article  MathSciNet  Google Scholar 

  14. Winn, J.: Causality with gates. In: Artificial Intelligence and Statistics, pp. 1314–1322 (2012)

    Google Scholar 

  15. Zhang, N.L., Poole, D.: A simple approach to Bayesian network computations. In: Proceedings of the 10th Canadian Conference on Artificial Intelligence, pp. 171–178. Springer, Heidelberg (1994)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Marcel Gehrke .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2019 Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Gehrke, M., Braun, T., Möller, R. (2019). Efficient Multiple Query Answering in Switched Probabilistic Relational Models. In: Liu, J., Bailey, J. (eds) AI 2019: Advances in Artificial Intelligence. AI 2019. Lecture Notes in Computer Science(), vol 11919. Springer, Cham. https://doi.org/10.1007/978-3-030-35288-2_9

Download citation

  • DOI: https://doi.org/10.1007/978-3-030-35288-2_9

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-35287-5

  • Online ISBN: 978-3-030-35288-2

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics