Skip to main content

Generalizing over Several Learning Settings

  • Conference paper
Grammatical Inference: Theoretical Results and Applications (ICGI 2010)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 6339))

Included in the following conference series:

Abstract

We recapitulate inference from membership and equivalence queries, positive and negative samples. Regular languages cannot be learned from one of those information sources only [1,2,3]. Combinations of two sources allowing regular (polynomial) inference are MQs and EQs [4], MQs and positive data [5,6], positive and negative data [7,8]. We sketch a meta-algorithm fully presented in [9] that generalizes over as many combinations of those sources as possible. This includes a survey of pairings for which there are no well-studied algorithms.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Gold, E.: Language identification in the limit. Inf. & Contr. 10(5), 447–474 (1967)

    Article  MATH  Google Scholar 

  2. Angluin, D.: Queries and concept learning. Mach. L. 2, 319–342 (1988)

    Google Scholar 

  3. Angluin, D.: Negative results for equivalence queries. Mach. L. 5, 121–150 (1990)

    Google Scholar 

  4. Angluin, D.: Learning regular sets from queries and counterexamples. Information and Computation 75(2), 87–106 (1987)

    Article  MATH  MathSciNet  Google Scholar 

  5. Angluin, D.: A note on the number of queries needed to identify regular languages. Inf. & Contr. 51, 76–87 (1981)

    Article  MATH  MathSciNet  Google Scholar 

  6. Besombes, J., Marion, J.Y.: Learning tree languages from positive examples and membership queries. In: Gavaldá, R., Jantke, K.P., Takimoto, E. (eds.) ALT 2003. LNCS (LNAI), vol. 2842, pp. 440–453. Springer, Heidelberg (2003)

    Google Scholar 

  7. Oncina, J., Garcia, P.: Identifying regular languages in polynomial time. Machine Perception and Artificial Intelligence, vol. 5, pp. 99–108. World Scientific, Singapore (2002)

    Google Scholar 

  8. de la Higuera, C.: Grammatical Inference: Learning Automata and Grammars. Cambridge University Press, Cambridge (2010)

    MATH  Google Scholar 

  9. Kasprzik, A.: Generalizing over several learning settings. Technical report, University of Trier (2009)

    Google Scholar 

  10. Drewes, F., Högberg, J.: Learning a regular tree language from a teacher. In: Ésik, Z., Fülöp, Z. (eds.) DLT 2003. LNCS, vol. 2710, pp. 279–291. Springer, Heidelberg (2003)

    Chapter  Google Scholar 

  11. Oncina, J., Garcia, P.: Inference of recognizable tree sets. Technical report, DSIC II/47/93, Universidad de Valencia (1993)

    Google Scholar 

  12. Kasprzik, A.: A learning algorithm for multi-dimensional trees, or: Learning beyond context-freeness. In: Clark, A., Coste, F., Miclet, L. (eds.) ICGI 2008. LNCS (LNAI), vol. 5278, pp. 111–124. Springer, Heidelberg (2008)

    Chapter  Google Scholar 

  13. Tîrnăucă, C.: A note on the relationship between different types of correction queries. In: Clark, A., Coste, F., Miclet, L. (eds.) ICGI 2008. LNCS (LNAI), vol. 5278, pp. 213–223. Springer, Heidelberg (2008)

    Google Scholar 

  14. Pitt, L.: Inductive inference, DFAs, and computational complexity. In: Jantke, K.P. (ed.) AII 1989. LNCS, vol. 397. Springer, Heidelberg (1989)

    Google Scholar 

  15. Fernau, H.: Identification of function distinguishable languages. Theoretical Computer Science 290(3), 1679–1711 (2003)

    Article  MATH  MathSciNet  Google Scholar 

  16. Fernau, H.: Even linear simple matrix languages: Formal language properties and grammatical inference. Theoretical Computer Science 289(1), 425–456 (2002)

    Article  MATH  MathSciNet  Google Scholar 

  17. Berman, P., Roos, R.: Learning one-counter languages in polynomial time. In: SFCS, pp. 61–67 (1987)

    Google Scholar 

  18. Yoshinaka, R.: Learning mildly context-sensitive languages with multidimensional substitutability from positive data. In: Gavaldà, R., Lugosi, G., Zeugmann, T., Zilles, S. (eds.) ALT 2009. LNCS, vol. 5809, pp. 278–292. Springer, Heidelberg (2009)

    Chapter  Google Scholar 

  19. Clark, A.: Three learnable models for the description of language. In: Dediu, A.-H., Fernau, H., Martín-Vide, C. (eds.) LATA 2010. LNCS, vol. 6031, pp. 16–31. Springer, Heidelberg (2010)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2010 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Kasprzik, A. (2010). Generalizing over Several Learning Settings. In: Sempere, J.M., García, P. (eds) Grammatical Inference: Theoretical Results and Applications. ICGI 2010. Lecture Notes in Computer Science(), vol 6339. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-15488-1_28

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-15488-1_28

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-15487-4

  • Online ISBN: 978-3-642-15488-1

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics