Skip to main content

Learning Probabilistic Description Logics: A Framework and Algorithms

  • Conference paper
Advances in Artificial Intelligence (MICAI 2011)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 7094))

Included in the following conference series:

Abstract

Description logics have become a prominent paradigm in knowledge representation (particularly for the Semantic Web), but they typically do not include explicit representation of uncertainty. In this paper, we propose a framework for automatically learning a Probabilistic Description Logic from data. We argue that one must learn both concept definitions and probabilistic assignments. We also propose algorithms that do so and evaluate these algorithms on real data.

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. Antoniou, G., van Harmelen, F.: Semantic Web Primer. MIT Press (2008)

    Google Scholar 

  2. Baader, F., Nutt, W.: Basic description logics. In: Description Logic Handbook, pp. 47–100. Cambridge University Press (2002)

    Google Scholar 

  3. Bizer, C., Lehmann, J., Kobilarov, G., Auer, S., Becker, C., Cyganiak, R., Hellmann, S.: DBpedia - a crystallization point for the web of data. Web Semant. 7(3), 154–165 (2009)

    Article  Google Scholar 

  4. Cormen, T.H., Leiserson, C.E., Rivest, R.L., Stein, C.: Introduction to Algorithms. MIT Press (2001)

    Google Scholar 

  5. Costa, P.C.G., Laskey, K.B.: PR-OWL: A framework for probabilistic ontologies. In: Proceeding of the 2006 Conference on Formal Ontology in Information Systems, pp. 237–249. IOS Press, Amsterdam (2006)

    Google Scholar 

  6. Cozman, F.G., Polastro, R.B.: Loopy Propagation in a Probabilistic Description Logic. In: Greco, S., Lukasiewicz, T. (eds.) SUM 2008. LNCS (LNAI), vol. 5291, pp. 120–133. Springer, Heidelberg (2008)

    Chapter  Google Scholar 

  7. Cozman, F.G., Polastro, R.B.: Complexity analysis and variational inference for interpretation-based probabilistic description logics. In: Conference on Uncertainty in Artificial Intelligence (2009)

    Google Scholar 

  8. d’Amato, C., Fanizzi, N., Lukasiewicz, T.: Tractable Reasoning with Bayesian Description Logics. In: Greco, S., Lukasiewicz, T. (eds.) SUM 2008. LNCS (LNAI), vol. 5291, pp. 146–159. Springer, Heidelberg (2008)

    Chapter  Google Scholar 

  9. Fanizzi, N., d’Amato, C., Esposito, F.: DL-FOIL Concept Learning in Description Logics. In: Železný, F., Lavrač, N. (eds.) ILP 2008. LNCS (LNAI), vol. 5194, pp. 107–121. Springer, Heidelberg (2008)

    Chapter  Google Scholar 

  10. Friedman, N., Geiger, D., Goldszmidt, M.: Bayesian network classifiers. Machine Learning 29, 131–163 (1997)

    Article  MATH  Google Scholar 

  11. Heinsohn, J.: Probabilistic description logics. In: International Conf. on Uncertainty in Artificial Intelligence, pp. 311–318 (1994)

    Google Scholar 

  12. Iannone, L., Palmisano, I., Fanizzi, N.: An algorithm based on counterfactuals for concept learning in the semantic web. Applied Intelligence 26(2), 139–159 (2007)

    Article  Google Scholar 

  13. Jaeger, M.: Probabilistic reasoning in terminological logics. In: Principals of Knowledge Representation (KR), pp. 461–472 (1994)

    Google Scholar 

  14. Landwehr, N., Kersting, K., DeRaedt, L.: Integrating Naïve Bayes and FOIL. J. Mach. Learn. Res. 8, 481–507 (2007)

    MATH  Google Scholar 

  15. Lavrac, N., Dzeroski, S.: Inductive Logic Programming: Techniques and Applications. Ellis Horwood, New York (1994)

    MATH  Google Scholar 

  16. Lehmann, J.: Hybrid Learning of Ontology Classes. In: Perner, P. (ed.) MLDM 2007. LNCS (LNAI), vol. 4571, pp. 883–898. Springer, Heidelberg (2007)

    Chapter  Google Scholar 

  17. Lehmann, J., Hitzler, P.: Foundations of Refinement Operators for Description Logics. In: Blockeel, H., Ramon, J., Shavlik, J. W., Tadepalli, P. (eds.) ILP 2007. LNCS (LNAI), vol. 4894, pp. 161–174. Springer, Heidelberg (2008)

    Chapter  Google Scholar 

  18. Lehmann, J., Hitzler, P.: A Refinement Operator Based Learning Algorithm for the \(\mathcal{ALC}\) Description Logic. In: Blockeel, H., Ramon, J., Shavlik, J. W., Tadepalli, P. (eds.) ILP 2007. LNCS (LNAI), vol. 4894, pp. 147–160. Springer, Heidelberg (2008)

    Chapter  Google Scholar 

  19. Lukasiewicz, T.: Expressive probabilistic description logics. Artif. Intell. 172(6-7), 852–883 (2008)

    Article  MathSciNet  MATH  Google Scholar 

  20. Ochoa-Luna, J., Cozman, F.G.: An algorithm for learning with probabilistic description logics. In: Bobillo, F., et al. (eds.) Proceedings of the 5th International Workshop on Uncertainty Reasoning for the Semantic Web, Chantilly, USA, vol. 527, pp. 63–74. CEUR-WS.org (2009)

    Google Scholar 

  21. Pearl, J.: Probabilistic Reasoning in Intelligent Systems: networks of plausible inference. Morgan Kaufmann (1988)

    Google Scholar 

  22. Polastro, R.B., Cozman, F.G.: Inference in probabilistic ontologies with attributive concept descriptions and nominals. In: 4th International Workshop on Uncertainty Reasoning for the Semantic Web (URSW) at the 7th International Semantic Web Conference (ISWC), Karlsruhe, Germany (2008)

    Google Scholar 

  23. Quinlan, J.R., Cameron-Jones, R.M.: FOIL: A midterm report. In: Proceedings of the European Conference on Machine Learning, pp. 3–20. Springer, Heidelberg (1993)

    Google Scholar 

  24. Revoredo, K., Ochoa-Luna, J.E., Cozman, F.G.: Learning Terminologies in Probabilistic Description Logics. In: da Rocha Costa, A.C., Vicari, R.M., Tonidandel, F. (eds.) SBIA 2010. LNCS, vol. 6404, pp. 41–50. Springer, Heidelberg (2010)

    Chapter  Google Scholar 

  25. Sebastiani, F.: A probabilistic terminological logic for modelling information retrieval. In: ACM Conf. on Research and Development in Information Retrieval (SIGIR), pp. 122–130 (1994)

    Google Scholar 

  26. Suchanek, F.M., Kasneci, G., Weikum, G.: Yago: a core of semantic knowledge. In: WWW 2007: Proceedings of the 16th International Conference on World Wide Web, pp. 697–706. ACM, New York (2007)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2011 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Ochoa-Luna, J.E., Revoredo, K., Cozman, F.G. (2011). Learning Probabilistic Description Logics: A Framework and Algorithms. In: Batyrshin, I., Sidorov, G. (eds) Advances in Artificial Intelligence. MICAI 2011. Lecture Notes in Computer Science(), vol 7094. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-25324-9_3

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-25324-9_3

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-25323-2

  • Online ISBN: 978-3-642-25324-9

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics