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An Approach to Learning Relational Probabilistic FO-PCL Knowledge Bases

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Scalable Uncertainty Management (SUM 2012)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 7520))

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Abstract

The principle of maximum entropy inductively completes the knowledge given by a knowledge base \(\mathcal R\), and it has been suggested to view learning as an operation being inverse to inductive knowledge completion. While a corresponding learning approach has been developed when \(\mathcal R\) is based on propositional logic, in this paper we describe an extension to a relational setting. It allows to learn relational FO-PCL knowledge bases containing both generic conditionals as well as specific conditionals referring to exceptional individuals from a given probability distribution.

The research reported here was partially supported by the Deutsche Forschungsgemeinschaft (grant BE 1700/7-2).

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References

  1. De Raedt, L., Blockeel, H., Dehaspe, L., Laer, W.V.: Three companions for data mining in first order logic. In: Relational Data Mining, pp. 105–139. Springer (2001)

    Google Scholar 

  2. Fisseler, F.: Learning and Modeling with Probabilistic Conditional Logic. Dissertations in Artificial Intelligence, vol. 328. IOS Press, Amsterdam (2010)

    MATH  Google Scholar 

  3. Fisseler, J.: First-order probabilistic conditional logic and maximum entropy. Logic Journal of the IGPL (to appear, 2012)

    Google Scholar 

  4. Fisseler, J., Kern-Isberner, G., Beierle, C., Koch, A., Müller, C.: Algebraic knowledge discovery using haskell. In: Hanus, M. (ed.) PADL 2007. LNCS, vol. 4354, pp. 80–93. Springer, Heidelberg (2007)

    Chapter  Google Scholar 

  5. Getoor, L., Taskar, B. (eds.): Introduction to Statistical Relational Learning. MIT Press (2007)

    Google Scholar 

  6. Han, J., Kamber, M., Pei, J.: Data Mining: Concepts and Techniques. Morgan Kaufmann (2011)

    Google Scholar 

  7. Kern-Isberner, G.: Conditionals in Nonmonotonic Reasoning and Belief Revision. LNCS (LNAI), vol. 2087. Springer, Heidelberg (2001)

    Book  MATH  Google Scholar 

  8. Kern-Isberner, G., Fisseler, J.: Knowledge discovery by reversing inductive knowledge representation. In: Proceedings of the Ninth International Conference on the Principles of Knowledge Representation and Reasoning, KR 2004, pp. 34–44. AAAI Press (2004)

    Google Scholar 

  9. Kern-Isberner, G., Lukasiewicz, T.: Combining probabilistic logic programming with the power of maximum entropy. Artificial Intelligence, Special Issue on Nonmonotonic Reasoning 157(1-2), 139–202 (2004)

    MathSciNet  MATH  Google Scholar 

  10. Muggleton, S., De Raedt, L., Poole, D., Bratko, I., Flach, P.A., Inoue, K., Srinivasan, A.: ILP turns 20 - Biography and future challenges. Machine Learning 86(1), 3–23 (2012)

    Article  MathSciNet  MATH  Google Scholar 

  11. Paris, J., Vencovska, A.: In defence of the maximum entropy inference process. International Journal of Approximate Reasoning 17(1), 77–103 (1997)

    Article  MathSciNet  MATH  Google Scholar 

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Potyka, N., Beierle, C. (2012). An Approach to Learning Relational Probabilistic FO-PCL Knowledge Bases. In: Hüllermeier, E., Link, S., Fober, T., Seeger, B. (eds) Scalable Uncertainty Management. SUM 2012. Lecture Notes in Computer Science(), vol 7520. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-33362-0_52

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  • DOI: https://doi.org/10.1007/978-3-642-33362-0_52

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-33361-3

  • Online ISBN: 978-3-642-33362-0

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