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A Declarative Modeling Language for Concept Learning in Description Logics

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Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 7842))

Abstract

Learning in Description Logics (DLs) has been paid increasing attention over the last decade. Several and diverse approaches have been proposed which however share the common feature of extending and adapting previous work in Concept Learning to the novel representation framework of DLs. In this paper we present a declarative modeling language for Concept Learning in DLs which relies on recent results in the fields of Knowledge Representation and Machine Learning. Based on second-order DLs, it allows for modeling Concept Learning problems as constructive DL reasoning tasks where the construction of the solution to the problem may be subject to optimality criteria.

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References

  1. Baader, F., Calvanese, D., McGuinness, D., Nardi, D., Patel-Schneider, P. (eds.): The Description Logic Handbook: Theory, Implementation and Applications, 2nd edn. Cambridge University Press (2007)

    Google Scholar 

  2. Baader, F.: Least common subsumers and most specific concepts in a description logic with existential restrictions and terminological cycles. In: Gottlob, G., Walsh, T. (eds.) IJCAI 2003: Proceedings of the 18th International Joint Conference on Artificial Intelligence, pp. 319–324. Morgan Kaufmann Publishers Inc., San Francisco (2003)

    Google Scholar 

  3. Badea, L., Nienhuys-Cheng, S.-H.: A refinement operator for description logics. In: Cussens, J., Frisch, A. (eds.) ILP 2000. LNCS (LNAI), vol. 1866, pp. 40–59. Springer, Heidelberg (2000)

    Chapter  Google Scholar 

  4. Borgida, A.: On the relative expressiveness of description logics and predicate logics. Artificial Intelligence 82(1-2), 353–367 (1996)

    Article  MathSciNet  Google Scholar 

  5. Cohen, W.W., Borgida, A., Hirsh, H.: Computing least common subsumers in description logics. In: Proc. of the 10th National Conf. on Artificial Intelligence, pp. 754–760. The AAAI Press / The MIT Press (1992)

    Google Scholar 

  6. Cohen, W.W., Hirsh, H.: Learnability of description logics. In: Haussler, D. (ed.) Proceedings of the Fifth Annual ACM Conference on Computational Learning Theory, COLT 1992, Pittsburgh, PA, USA, July 27-29. ACM (1992)

    Google Scholar 

  7. Cohen, W.W., Hirsh, H.: The learnability of description logics with equality constraints. Machine Learning 17(2-3), 169–199 (1994)

    Article  MATH  Google Scholar 

  8. Cohen, W.W., Hirsh, H.: Learning the CLASSIC description logic: Thoretical and experimental results. In: Proc. of the 4th Int. Conf. on Principles of Knowledge Representation and Reasoning (KR 1994), pp. 121–133. Morgan Kaufmann (1994)

    Google Scholar 

  9. Colucci, S., Di Noia, T., Di Sciascio, E., Donini, F.M., Ragone, A.: Second-order description logics: Semantics, motivation, and a calculus. In: Haarslev, V., Toman, D., Weddell, G.E. (eds.) Proceedings of the 23rd International Workshop on Description Logics (DL 2010), Waterloo, Ontario, Canada, May 4-7. CEUR Workshop Proceedings, vol. 573. CEUR-WS.org (2010)

    Google Scholar 

  10. Colucci, S., Di Noia, T., Di Sciascio, E., Donini, F.M., Ragone, A.: A unified framework for non-standard reasoning services in description logics. In: Coelho, H., Studer, R., Wooldridge, M. (eds.) Proceedings of the 19th European Conference on Artificial Intelligence, ECAI 2010, Lisbon, Portugal, August 16-20. Frontiers in Artificial Intelligence and Applications, vol. 215, pp. 479–484. IOS Press (2010)

    Google Scholar 

  11. Colucci, S., Donini, F.M.: Inverting subsumption for constructive reasoning. In: Kazakov, Y., Lembo, D., Wolter, F. (eds.) Proceedings of the 2012 International Workshop on Description Logics, DL 2012, Rome, Italy, June 7-10. CEUR Workshop Proceedings, vol. 846. CEUR-WS.org (2012)

    Google Scholar 

  12. De Raedt, L., Guns, T., Nijssen, S.: Constraint programming for data mining and machine learning. In: Fox, M., Poole, D. (eds.) Proceedings of the Twenty-Fourth AAAI Conference on Artificial Intelligence, AAAI 2010, Atlanta, Georgia, USA, July 11-15. AAAI Press (2010)

    Google Scholar 

  13. De Raedt, L., Nijssen, S., O’Sullivan, B., Van Hentenryck, P.: Constraint programming meets machine learning and data mining (dagstuhl seminar 11201). Dagstuhl Reports 1(5), 61–83 (2011)

    Google Scholar 

  14. Džeroski, S.: Towards a general framework for data mining. In: Džeroski, S., Struyf, J. (eds.) KDID 2006. LNCS, vol. 4747, pp. 259–300. Springer, Heidelberg (2007)

    Chapter  Google Scholar 

  15. Eiter, T., Ianni, G., Schindlauer, R., Tompits, H.: A uniform integration of higher-order reasoning and external evaluations in answer-set programming. In: IJCAI, pp. 90–96 (2005)

    Google Scholar 

  16. Esposito, F., Fanizzi, N., Iannone, L., Palmisano, I., Semeraro, G.: Knowledge-intensive induction of terminologies from metadata. In: McIlraith, S.A., Plexousakis, D., van Harmelen, F. (eds.) ISWC 2004. LNCS, vol. 3298, pp. 441–455. Springer, Heidelberg (2004)

    Chapter  Google Scholar 

  17. Fanizzi, N., Iannone, L., Palmisano, I., Semeraro, G.: Concept formation in expressive description logics. In: Boulicaut, J.-F., Esposito, F., Giannotti, F., Pedreschi, D. (eds.) ECML 2004. LNCS (LNAI), vol. 3201, pp. 99–110. Springer, Heidelberg (2004)

    Chapter  Google Scholar 

  18. 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 

  19. Frazier, M., Pitt, L.: CLASSIC learning. Machine Learning 25(2-3), 151–193 (1996)

    Article  MATH  Google Scholar 

  20. Guns, T., Nijssen, S., De Raedt, L.: Evaluating pattern set mining strategies in a constraint programming framework. In: Huang, J.Z., Cao, L., Srivastava, J. (eds.) PAKDD 2011, Part II. LNCS, vol. 6635, pp. 382–394. Springer, Heidelberg (2011)

    Chapter  Google Scholar 

  21. Guns, T., Nijssen, S., De Raedt, L.: Itemset mining: A constraint programming perspective. Artificial Intelligence 175(12-13), 1951–1983 (2011)

    Article  MathSciNet  MATH  Google Scholar 

  22. Henkin, L.: Completeness in the theory of types. Journal of Symbolic Logic 15(2), 81–91 (1950)

    Article  MathSciNet  MATH  Google Scholar 

  23. 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 

  24. Kietz, J.U., Morik, K.: A polynomial approach to the constructive induction of structural knowledge. Machine Learning 14(1), 193–217 (1994)

    Article  MATH  Google Scholar 

  25. Küsters, R. (ed.): Non-Standard Inferences in Description Logics. LNCS (LNAI), vol. 2100. Springer, Heidelberg (2001)

    MATH  Google Scholar 

  26. Küsters, R., Molitor, R.: Approximating most specific concepts in description logics with existential restrictions. AI Communications 15(1), 47–59 (2002)

    MathSciNet  MATH  Google Scholar 

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

    Chapter  Google Scholar 

  28. Lehmann, J., Hitzler, P.: Concept learning in description logics using refinement operators. Machine Learning 78(1-2), 203–250 (2010)

    Article  Google Scholar 

  29. Lehmann, J.: DL-Learner: Learning Concepts in Description Logics. Journal of Machine Learning Research 10, 2639–2642 (2009)

    MATH  Google Scholar 

  30. Lehmann, J., Haase, C.: Ideal Downward Refinement in the \(\mathcal{EL}\) Description Logic. In: De Raedt, L. (ed.) ILP 2009. LNCS, vol. 5989, pp. 73–87. Springer, Heidelberg (2010)

    Chapter  Google Scholar 

  31. McGuinness, D.L., Patel-Schneider, P.F.: Usability issues in knowledge representation systems. In: Mostow, J., Rich, C. (eds.) Proceedings of the Fifteenth National Conference on Artificial Intelligence and Tenth Innovative Applications of Artificial Intelligence Conference, AAAI 1998, IAAI 1998, Madison, Wisconsin, USA, July 26-30, pp. 608–614. AAAI Press/The MIT Press (1998)

    Google Scholar 

  32. Mitchell, T.: Generalization as search. Artificial Intelligence 18, 203–226 (1982)

    Article  MathSciNet  Google Scholar 

  33. Nebel, B. (ed.): Reasoning and Revision in Hybrid Representation Systems. LNCS, vol. 422. Springer, Heidelberg (1990)

    MATH  Google Scholar 

  34. Nijssen, S., Guns, T., De Raedt, L.: Correlated itemset mining in ROC space: a constraint programming approach. In: Elder IV, J.F., Fogelman-Soulié, F., Flach, P.A., Zaki, M.J. (eds.) Proceedings of the 15th ACM SIGKDD International Conference on Knowledge Discovery and Data Mining, Paris, France, June 28-July 1, pp. 647–656. ACM (2009)

    Google Scholar 

  35. Reiter, R.: Equality and domain closure in first order databases. Journal of ACM 27, 235–249 (1980)

    Article  MathSciNet  MATH  Google Scholar 

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Lisi, F.A. (2013). A Declarative Modeling Language for Concept Learning in Description Logics. In: Riguzzi, F., Železný, F. (eds) Inductive Logic Programming. ILP 2012. Lecture Notes in Computer Science(), vol 7842. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-38812-5_11

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  • DOI: https://doi.org/10.1007/978-3-642-38812-5_11

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-38811-8

  • Online ISBN: 978-3-642-38812-5

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