Abstract
Carin-ALN is an interesting new rule learning bias for ILP. By allowing description logic terms as predicates of literals in datalog rules, it extends the normal bias used in ILP as it allows the use of all quantified variables in the body of a clause. It also has at-least and at-most restrictions to access the amount of indeterminism of relations. From a complexity point of view Carin-ALN allows to handle the difficult indeterminate relations efficiently by abstracting them into determinate aggregations. This paper describes a method which enables the embedding of Carin-ALN rule subsumption and learning into datalog rule subsumption and learning with numerical constraints. On the theoretical side, this allows us to transfer the learnability results known for ILP to Carin-ALN rules. On the practical side, this gives us a preprocessing method, which enables ILP systems to learn Carin-ALN rules just by transforming the data to be analyzed. We show, that this is not only a theoretical result in a first experiment: learning Carin-ALN rules from a standard ILP dataset.
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Baader, F. and R. Küsters: 1998, ‘Computing the least common subsumer and the most specific concept in the presence of cyclic ALN-concept descriptions’. In: O. Herzog and A. Günter (eds.): Proceedings of the 22nd Annual German Conference on Artificial Intelligence, KI-98. pp. 129–140, Springer-Verlag.
Baader, F. and U. Sattler: 2000, ‘Tableau Algorithms for Description Logics’. In: R. Dyckho. (ed.): Proceedings of the International Conference on Automated Reasoning with Tableaux and Related Methods (Tableaux 2000). pp. 1–18, Springer-Verlag.
Borgida, A.: 1996, ‘On the relative expressiveness of description logics and predicate logics’. Artificial Intelligence 82, 353–367.
Brachman, R. J. and J. G. Schmolze: 1985, ‘An Overview of the KL-ONE Knowledge Representation System’. Cognitive Science 9(2), 171–216.
Cohen, W. and C. Page: 1995, ‘Polynomial Learnability and Inductive Logic Programming: Methods and Results’. New Generation Computing, Special issue on Inductive Logic Programming 13(3-4), 369–410.
Cohen, W. W.: 1995, ‘Pac-Learning non-recursive Prolog Clauses’. Artificial Intelligence 79, 1–38.
Cohen, W. W., A. Borgida, and H. Hirsh: 1992, ‘Computing Least Common Subsumers in Description Logic’. In: Proc. of the 10th National Conference on Artificial Intelligence. San Jose, California, MIT-Press.
Cohen, W. W. and H. Hirsh: 1994, ‘The Learnability of Description Logics with Equality Constraints’. Machine Learning 17, 169–199.
Donini, F., M. Lenzerini, C. Nardi, and W. Nutt: 1991, ‘Tractable Concept Languages’. In: Proc. IJCAI-91. pp. 458–463.
Džeroski, S. and B. Dolsak: 1992, ‘A Comparision of Relation Learning Algorithms on the Problem of Finite Element Mesh Design’. In: Proc. of the ISEEK Workshop. Ljubljana, Slovenia.
Frazier, M. and L. Pitt: 1994, ‘Classic Learning’. In: Proc. of the 7th Annual ACM Conference on Computational Learning Theory. pp. 23–34.
Goasdoué, F., C. Rouveirol, and V. Ventos: 2001, ‘Optimized Coverage Test for Learning in Carin-ALN’. Technical report, L.R.I, C.N.R.S and Université Paris Sud. Work in progress.
Helft, N.: 1989, ‘Induction as nonmonotonic inference’. In: Proceedings of the 1st International Conference on Knowledge Representation and Reasoning.
Kietz, J.-U.: 1996, ‘Induktive Analyse Relationaler Daten’. Ph.D. thesis, Technical University Berlin. (in german).
Kietz, J.-U.: 2002, ‘Learnability of Description Logic Programs (Extended Version)’. Technical report, http://www.kietz.ch/.
Kietz, J.-U. and S. Džeroski: 1994, ‘Inductive Logic Programming and Learnability’. SIGART Bulletin 5(1).
Kietz, J.-U. and M. Lübbe: 1994, ‘An Efficient Subsumption Algorithm for Inductive Logic Programming’. In: Proc. of the Eleventh International Conference on Machine Learning (ML94).
Kietz, J.-U. and K. Morik: 1994, ‘A polynomial approach to the constructive Induction of Structural Knowledge’. Machine Learning 14(2), 193–217.
Krogel, M. A. and S. Wrobel: 2001, ‘Transformation-based Learning Using Mulirelational Aggregation’. In: Proc. Elenth International Conference on Inductive Logic Programming, ILP’2001. Berlin, New York, Springer Verlag.
Levy, A. Y. and M.-C. Rouset: 1998, ‘Combining horn rules and description logic in Carin’. Artificial Intelligence 104, 165–209.
Muggleton, S. H.: 1995, ‘Inverse Entailment and Progol’. New Generation Computing 13.
Muggleton, S. H. and C. Feng: 1992, ‘Efficient induction of logic programs’. In: S. H. Muggleton (ed.): Inductive Logic Programming. Academic Press.
Nebel, B.: 1990a, Reasoning and Revision in Hybrid Representation Systems. New York: Springer.
Nebel, B.: 1990b, ‘Terminological reasoning is inherently intractable’. Artificial Intelligence 43, 235–249.
Plotkin, G. D.: 1970, ‘A note on inductive generalization’. In: B. Meltzer and D. Michie (eds.): Machine Intelligence, Vol. 5. American Elsevier, Chapt. 8, pp. 153–163.
Quinlan, R. and R. M. Cameron-Jones: 1993, ‘FOIL: A Midterm Report’. In: P. Brazdil (ed.): Proceedings of the Sixth European Conference on Machine Leaning (ECML-93). Berlin, Heidelberg, pp. 3–20, Springer Verlag.
Rouveirol, C. and V. Ventos: 2000, ‘Towards learning in Carin-ALN’. In: J. Cussens and A. M. Frisch (eds.): Proc. Tenth International Conference on Inductive Logic Programming, ILP’2000. Berlin, Springer Verlag.
Sebag, M. and C. Rouveirol: 1996, ‘Constraint Inductive Logic Programming’. In: L. de Raedt (ed.): Advances in ILP. IOS Press.
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Jörg-Uwe, K. (2003). Learnability of Description Logic Programs. In: Matwin, S., Sammut, C. (eds) Inductive Logic Programming. ILP 2002. Lecture Notes in Computer Science(), vol 2583. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-36468-4_8
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DOI: https://doi.org/10.1007/3-540-36468-4_8
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