Average-case optimal one-variable pattern language learner

Journal of Computer and System Sciences

Volumn 60, Issue 2, 2000, Pages 302-335

  Reischuk, Rüdiger ^a   Zeugmann, Thomas ^b  

^a UNIVERSITY OF LÜBECK   (Germany)

^b KYUSHU UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL LINGUISTICS; LEARNING ALGORITHMS; PROBABILITY;

ONE-VARIABLE PATTERN LANGUAGES;

LEARNING SYSTEMS;

EID: 0033876342     PISSN: 00220000     EISSN: None     Source Type: Journal    
DOI: 10.1006/jcss.1999.1669     Document Type: Article

References (24)

1. Angluin D. Finding patterns common to a set of strings. J. Comput. System Sci. 21:1980;46-62.
2. Blumer A., Ehrenfeucht A., Haussler D., Warmuth M. Learnability and the Vapnik-Chervonenkis dimension. J. Assoc. Comput. Mach. 36:1989;929-965.
3. J. Case, S. Jain, S. Lange, and, T. Zeugmann, Incremental concept learning for bounded data mining, Inform. and Comput, to appear.
4. Crochmore M., Rytter W. Text Algorithms. 1994;Oxford University Press, Oxford.
5. Daley R., Smith C. H. On the complexity of inductive inference. Inform. Control. 69:1986;12-40.
6. Erlebach T., Rossmanith P., Stadtherr H., Steger A., Zeugmann T. Efficient Learning of One-Variable Pattern Languages from Positive Data. DOI-TR-128. 1996;Kyushu University, Fukuoka.
7. Erlebach T., Rossmanith P., Stadtherr H., Steger A., Zeugmann T. Learning one-variable pattern languages very efficiently on average, in parallel, and by asking queries. Li M., Maruoka A. Proc. 8th Int. Workshop on Algorithmic Learning Theory. Lecture Notes in Artificial Intelligence. 1316:1997;260-276 Springer-Verlag, Berlin.
8. Freivalds R., Kinber E., Smith C. H. On the impact of forgetting on learning machines. J. Assoc. Comput. Mach. 42:1995;1146-1168.
9. Fulk M., Jain S., Osherson D. N. Open problems in systems that learn. J. Comput. System Sci. 49:1994;589-604.
10. Gold E. M. Language identification in the limit. Inform. Control. 10:1967;447-474.
11. Kearns M., Pitt L. A polynomial-time algorithm for learning k-variable pattern languages from examples. Rivest R., Haussler D., Warmuth M. K. Proc. 2nd. Annual ACM Workshop on Computational Learning Theory. 1989;57-71 Morgan Kaufmann, San Mateo.
12. Lange S., Wiehagen R. Polynomial-time inference of arbitrary pattern languages. New Generation Comput. 8:1991;361-370.
13. Lange S., Zeugmann T. Set-driven and rearrangement-independent learning of recursive languages. Math. Systems Theory. 29:1996;599-634.
14. Lange S., Zeugmann T. Incremental learning from positive data. J. Comput. System Sci. 53:1996;88-103.
15. Mitchell A., Scheffer T., Sharma A., Stephan F. The VC-dimension of subclasses of pattern languages. Watanabe O., Yokomori T. Proceedings, 10th International Conference on Algorithmic Learning Theory. Lecture Notes in Computer Science. 1720:1999;Springer-Verlag, Berlin.
16. Muggleton S. Bayesian inductive logic programming. Warmuth M. Proc. 7th Annual ACM Conference on Computational Learning Theory. 1994;3-11 Assoc. Comput. Mach. Press, New York.
17. Pitt L. Inductive inference, DFAs and computational complexity. Jantke K. P. Proc. 2nd Int. Workshop on Analogical and Inductive Inference. Lecture Notes in Artificial Intelligence. 397:1989;18-44 Springer-Verlag, Berlin.
18. Salomaa A. Patterns (The Formal Language Theory Column). EATCS Bulletin. 54:1994;46-62.
19. Salomaa A. Return to patterns (The Formal Language Theory Column). EATCS Bulletin. 55:1994;144-157.
20. Shinohara T., Arikawa S. Pattern inference. Jantke K., Lange S. Algorithmic Learning for Knowledge-Based Systems. Lecture Notes in Artificial Intelligence. 961:1995;259-291 Springer-Verlag, Berlin.
21. Valiant L. G. A theory of the learnable. Comm. Assoc. Comput. Mach. 27:1984;1134-1142.
22. Wiehagen R., Zeugmann T. Ignoring data may be the only way to learn efficiently. J. Experiment. Theoret. Artificial Intell. 6:1994;131-144.
23. Zeugmann T. Lange and Wiehagen's Pattern Language Learning Algorithm: An Average-case Analysis with Respect to its Total Learning Time. RIFIS-TR 111. 1995;Kyushu University, Fukuoka.
24. Zeugmann T. Lange and Wiehagen's pattern language learning algorithm: An average-case analysis with respect to its total learning time. Annals of Math. and Artificial Intell. 23:1998;117-145.