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Logic, Probability and Computation: Foundations and Issues of Statistical Relational AI

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Logic Programming and Nonmonotonic Reasoning (LPNMR 2011)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 6645))

Abstract

Over the last 25 years there has been considerable body of research into combinations of predicate logic and probability forming what has become known as (perhaps misleadingly) statistical relational artificial intelligence (StaR-AI). I overview the foundations of the area, give some research problems, proposed solutions, outstanding issues, and clear up some misconceptions that have arisen. I discuss representations, semantics, inference and learning, and provide some references to the literature. This is intended to be an overview of foundations, not a survey of research results.

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References

  1. Bacchus, F., Halpern, J.Y., Levesque, H.J.: Reasoning about noisy sensors and effectors in the situation calculus. Artificial Intelligence 111(1-2), 171–208 (1999), http://www.lpaig.uwaterloo.ca/~fbacchus/on-line.html

    Article  MathSciNet  MATH  Google Scholar 

  2. Boutilier, C., Reiter, R., Price, B.: Symbolic dynamic programming for first-order MDPs. In: Proc. 17th International Joint Conf. Artificial Intelligence, IJCAI 2001 (2001)

    Google Scholar 

  3. Buntine, W.L.: Operations for learning with graphical models. Journal of Artificial Intelligence Research 2, 159–225 (1994)

    Google Scholar 

  4. De Raedt, L., Kimmig, A., Toivonen, H.: ProbLog: A probabilistic Prolog and its application in link discovery. In: Proceedings of the 20th International Joint Conference on Artificial Intelligence (IJCAI 2007), pp. 2462–2467 (2007)

    Google Scholar 

  5. de Salvo Braz, R., Amir, E., Roth, D.: Lifted first-order probabilistic inference. In: Getoor, L., Taskar, B. (eds.) Introduction to Statistical Relational Learning. MIT Press, Cambridge (2007), http://www.cs.uiuc.edu/~eyal/papers/BrazRothAmir_SRL07.pdf

    Google Scholar 

  6. Fox, P., McGuinness, D., Middleton, D., Cinquini, L., Darnell, J., Garcia, J., West, P., Benedict, J., Solomon, S.: Semantically-enabled large-scale science data repositories. In: Cruz, I., Decker, S., Allemang, D., Preist, C., Schwabe, D., Mika, P., Uschold, M., Aroyo, L.M. (eds.) ISWC 2006. LNCS, vol. 4273, pp. 792–805. Springer, Heidelberg (2006), http://www.ksl.stanford.edu/KSL_Abstracts/KSL-06-19.html

    Chapter  Google Scholar 

  7. Getoor, L., Friedman, N., Koller, D., Pfeffer, A.: Learning probabilistic relational models. In: Dzeroski, S., Lavrac, N. (eds.) Relational Data Mining, pp. 307–337. Springer, Heidelberg (2001)

    Chapter  Google Scholar 

  8. Horsch, M., Poole, D.: A dynamic approach to probabilistic inference using Bayesian networks. In: Proc. Sixth Conference on Uncertainty in AI, Boston, pp. 155–161 (July 1990)

    Google Scholar 

  9. Jordan, M.I.: Bayesian nonparametric learning: Expressive priors for intelligent systems. In: Dechter, R., Geffner, H., Halpern, J.Y. (eds.) Heuristics, Probability and Causality: A Tribute to Judea Pearl, pp. 167–186. College Publications (2010)

    Google Scholar 

  10. Lavrac, N., Dzeroski, S.: Inductive Logic Programming: Techniques and Applications. Ellis Horwood, NY (1994)

    MATH  Google Scholar 

  11. Milch, B., Zettlemoyer, L.S., Kersting, K., Haimes, M., Kaelbling, L.P.: Lifted probabilistic inference with counting formulas. In: Proceedings of the Twenty Third Conference on Artificial Intelligence, AAAI (2008), http://people.csail.mit.edu/lpk/papers/mzkhk-aaai08.pdf

  12. Muggleton, S., De Raedt, L.: Inductive logic programming: Theory and methods. Journal of Logic Programming 19(20), 629–679 (1994)

    Article  MathSciNet  MATH  Google Scholar 

  13. Pasula, H., Marthi, B., Milch, B., Russell, S., Shpitser, I.: Identity uncertainty and citation matching. In: NIPS, vol. 15 (2003)

    Google Scholar 

  14. Pearl, J.: Probabilistic Reasoning in Intelligent Systems: Networks of Plausible Inference. Morgan Kaufmann, San Mateo (1988)

    MATH  Google Scholar 

  15. Poole, D.: Representing diagnostic knowledge for probabilistic Horn abduction. In: Proc. 12th International Joint Conf. on Artificial Intelligence (IJCAI 1991), Sydney, pp. 1129–1135 (1991)

    Google Scholar 

  16. Poole, D.: Logic programming, abduction and probability: A top-down anytime algorithm for computing prior and posterior probabilities. New Generation Computing 11(3-4), 377–400 (1993)

    Article  MATH  Google Scholar 

  17. Poole, D.: Probabilistic Horn abduction and Bayesian networks. Artificial Intelligence 64(1), 81–129 (1993)

    Article  MATH  Google Scholar 

  18. Poole, D.: The independent choice logic for modelling multiple agents under uncertainty. Artificial Intelligence 94, 7–56 (1997), http://cs.ubc.ca/~poole/abstracts/icl.html ; special issue on economic principles of multi-agent systems

    Article  MathSciNet  MATH  Google Scholar 

  19. Poole, D.: Decision theory, the situation calculus and conditional plans. Electronic Transactions on Artificial Intelligence 2(1-2) (1998), http://www.etaij.org

  20. Poole, D.: First-order probabilistic inference. In: Proc. Eighteenth International Joint Conference on Artificial Intelligence (IJCAI 2003), Acapulco, Mexico, pp. 985–991 (2003)

    Google Scholar 

  21. Poole, D.: Logical generative models for probabilistic reasoning about existence, roles and identity. In: 22nd AAAI Conference on AI (AAAI 2007) (July 2007), http://cs.ubc.ca/~poole/papers/AAAI07-Poole.pdf

  22. Poole, D.: The independent choice logic and beyond. In: De Raedt, L., Frasconi, P., Kersting, K., Muggleton, S.H. (eds.) Probabilistic Inductive Logic Programming. LNCS (LNAI), vol. 4911, pp. 222–243. Springer, Heidelberg (2008), http://cs.ubc.ca/~poole/papers/ICL-Beyond.pdf

    Chapter  Google Scholar 

  23. Poole, D., Smyth, C., Sharma, R.: Semantic science: Ontologies, data and probabilistic theories. In: da Costa, P.C.G., d’Amato, C., Fanizzi, N., Laskey, K.B., Laskey, K.J., Lukasiewicz, T., Nickles, M., Pool, M. (eds.) URSW 2005 - 2007. LNCS (LNAI), vol. 5327, pp. 26–40. Springer, Heidelberg (2008), http://cs.ubc.ca/~poole/papers/SemSciChapter2008.pdf

    Chapter  Google Scholar 

  24. Poole, D., Smyth, C., Sharma, R.: Ontology design for scientific theories that make probabilistic predictions. IEEE Intelligent Systems 24(1), 27–36 (2009), http://www2.computer.org/portal/web/computingnow/2009/0209/x1poo

    Article  Google Scholar 

  25. Poole, D.L., Mackworth, A.K.: Artificial Intelligence: foundations of computational agents. Cambridge University Press, New York (2010), http://artint.info

    Book  MATH  Google Scholar 

  26. Richardson, M., Domingos, P.: Markov logic networks. Machine Learning 62, 107–136 (2006)

    Article  Google Scholar 

  27. Sanner, S., Boutilier, C.: Approximate linear programming for first-order MDPs. In: Proceedings of the Twenty-first Conference on Uncertainty in Artificial Intelligence (UAI 2005), Edinburgh, pp. 509–517 (2005)

    Google Scholar 

  28. Sanner, S., Kersting, K.: Symbolic dynamic programming for first-order POMDPs. In: Proc. AAAI 2010 (2010)

    Google Scholar 

  29. Sato, T., Kameya, Y.: PRISM: A symbolic-statistical modeling language. In: Proceedings of the 15th International Joint Conference on Artificial Intelligence (IJCAI 1997), pp. 1330–1335 (1997)

    Google Scholar 

  30. Sato, T., Kameya, Y.: New advances in logic-based probabilistic modeling by PRISM. In: De Raedt, L., Frasconi, P., Kersting, K., Muggleton, S.H. (eds.) Probabilistic Inductive Logic Programming. LNCS (LNAI), vol. 4911, pp. 118–155. Springer, Heidelberg (2008), http://www.springerlink.com/content/1235t75977x62038/

    Chapter  Google Scholar 

  31. Singla, P., Domingos, P.: Lifted first-order belief propagation. In: Proceedings of the Twenty-Third AAAI Conference on Artificial Intelligence, pp. 1094–1099 (2008)

    Google Scholar 

  32. Tadepalli, P., Givan, R., Driessens, K.: Relational reinforcement learning: An overview. In: Proc. ICML Workshop on Relational Reinforcement Learning (2004)

    Google Scholar 

  33. Talbott, W.: Bayesian epistemology. In: Zalta, E.N. (ed.) The Stanford Encyclopedia of Philosophy (Fall 2008), http://plato.stanford.edu/archives/fall2008/entries/epistemology-bayesian/

  34. van Otterlo, M.: The Logic of Adaptive Behavior - Knowledge Representation and Algorithms for Adaptive Sequential Decision Making under Uncertainty in First-Order and Relational Domains. IOS Press, Amsterdam (2009), http://people.cs.kuleuven.be/~martijn.vanotterlo/phdbook_vanOtterlo_v2010a.pdf

    MATH  Google Scholar 

  35. Wang, C., Khardon, R.: Relational partially observable MDPs. In: Proc. AAAI 2010 (2010)

    Google Scholar 

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Poole, D. (2011). Logic, Probability and Computation: Foundations and Issues of Statistical Relational AI. In: Delgrande, J.P., Faber, W. (eds) Logic Programming and Nonmonotonic Reasoning. LPNMR 2011. Lecture Notes in Computer Science(), vol 6645. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-20895-9_1

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  • DOI: https://doi.org/10.1007/978-3-642-20895-9_1

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-20894-2

  • Online ISBN: 978-3-642-20895-9

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