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Instantiation Restrictions for Relational Probabilistic Conditionals

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

Abstract

The role of instantiation restrictions for two recently proposed semantics for relational probabilistic conditionals employing the maximum entropy principle is discussed. Aggregating semantics is extended to conditionals with instantiation restrictions. The extended framework properly captures both grounding and aggregating semantics and helps to clarify the relationship between them.

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

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References

  1. Beierle, C., Finthammer, M., Kern-Isberner, G., Thimm, M.: Evaluation and Comparison Criteria for Approaches to Probabilistic Relational Knowledge Representation. In: Bach, J., Edelkamp, S. (eds.) KI 2011. LNCS, vol. 7006, pp. 63–74. Springer, Heidelberg (2011)

    Chapter  Google Scholar 

  2. Delgrande, J.: On first-order conditional logics. Artificial Intelligence 105, 105–137 (1998)

    Article  MathSciNet  MATH  Google Scholar 

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

    MATH  Google Scholar 

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

    Google Scholar 

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

    Google Scholar 

  6. Halpern, J.: Reasoning About Uncertainty. MIT Press (2005)

    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., Thimm, M.: Novel semantical approaches to relational probabilistic conditionals. In: Lin, F., Sattler, U., Truszczynski, M. (eds.) Proceedings Twelfth International Conference on the Principles of Knowledge Representation and Reasoning, KR 2010, pp. 382–391. AAAI Press (2010)

    Google Scholar 

  9. Krämer, A., Beierle, C.: On Lifted Inference for a Relational Probabilistic Conditional Logic with Maximum Entropy Semantics. In: Lukasiewicz, T., Sali, A. (eds.) FoIKS 2012. LNCS, vol. 7153, pp. 224–243. Springer, Heidelberg (2012)

    Chapter  Google Scholar 

  10. Paris, J.: The uncertain reasoner’s companion – A mathematical perspective. Cambridge University Press (1994)

    Google Scholar 

  11. Thimm, M., Kern-Isberner, G., Fisseler, J.: Relational Probabilistic Conditional Reasoning at Maximum Entropy. In: Liu, W. (ed.) ECSQARU 2011. LNCS, vol. 6717, pp. 447–458. Springer, Heidelberg (2011)

    Chapter  Google Scholar 

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© 2012 Springer-Verlag Berlin Heidelberg

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Finthammer, M., Beierle, C. (2012). Instantiation Restrictions for Relational Probabilistic Conditionals. 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_48

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  • DOI: https://doi.org/10.1007/978-3-642-33362-0_48

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-33361-3

  • Online ISBN: 978-3-642-33362-0

  • eBook Packages: Computer ScienceComputer Science (R0)

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