Skip to main content

Statistical inductive learning of regular formal languages

  • Conference paper
  • First Online:
Grammatical Inference and Applications (ICGI 1994)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 862))

Included in the following conference series:

Abstract

The estimation problem of probabilistic grammar through the forward-backward algorithm does not guarantee that a global maximum is achieved [12]. In this process, which is based on a gradient descent technique, the initialization is a crucial aspect. In this paper, we show experimentally how the results obtained by this method can be improved when structural information about the task is inductively incorporated in the initial models to be learnt.

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

Access this chapter

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Trainable Grammars for Speech Recognition” J.K. Baker. 50th Anniversary Celebration of the Acoustical Society of America, pp. 31–35. June 1979.

    Google Scholar 

  2. An Inequality and Associated Maximization Technique in Statistical Estimation for Probabilistic Function of a Markov Process” L.E. Baum. Inequalities, Vol. III, 1972.

    Google Scholar 

  3. Applying Probability Measures to Abstract Languages” T.L. Booth, R.A. Thompson. IEEE Transactions on Computers, Vol. C-22, No. 5, pp. 442–450. May 1973.

    Google Scholar 

  4. Growth Transformations for Probabilistic Functions of Stochastic Grammars” F. Casacuberta. To be published. 1993.

    Google Scholar 

  5. Information Theory” T.M. Cover, J.A. Thomas. John Wiley & Sons. 1991.

    Google Scholar 

  6. Syntactic Pattern Recognition and Applications” K.S.Fu. Prentice Hall, 1982.

    Google Scholar 

  7. Syntactic Pattern Recognition. An Introduction” R.Gonzalez and M.Thomason. Addison-Wesley, 1978.

    Google Scholar 

  8. An Inequality for Rational Functions with Applications to some Statistical Estimation Problems” P.S. Gopalakrishnan, D. Kanevsky, A. Nadas, D. Nahamoo. IEEE Transactions on Information Theory, Vol. 37(1), pp. 107–113. 1991.

    Article  Google Scholar 

  9. Introduction to Automata Theory, Languages and Computation” J.E. Hopcroft, J.D. Ullman. Addison-Wesly. 1979.

    Google Scholar 

  10. Basic Methods of Probabilistic Context Free Grammars” F. Jelinek, J.D. Lafferty, R.L. Mercer. Speech Recognition and Understanding. Ed. by P. Laface and R. De Mori, pp. 347–360. 1992.

    Google Scholar 

  11. The Estimation of Stochastic Context-Free Grammars using the Inside-Outside Algorithm” K. Lari, S. J. Young. Computer Speech and Language Vol. 4, pp. 35–56. 1990.

    Google Scholar 

  12. On the Locality of the Forward-Backward Algorithm” B. Merialdo. IEEE Trans. on Speech and Audio Processing, Vol. 1(2), pp. 255–257, 1993.

    Article  Google Scholar 

  13. Hidden Markov chains, the forward-backward algorithm and initial statics” A. Nadas. IEEE Trans. Acoust., Speech and Signal Processing, vol. ASSP-31, pp. 504–506, 1983.

    Google Scholar 

  14. Learning Language Models Though the ECGI Method” N. Prieto and E. Vidal. Speech Communications, Vol.11, pp.299–309, 1992.

    Google Scholar 

  15. Mathematical Foundations of Hidden Markov Models” L.R.Rabiner. In Recent Advances in Speech Understanding and Dialog Systems. H.Niemann et al (eds). NATO ASI Series, Vo.F46, pp.183–205, 1988.

    Google Scholar 

  16. Modeling (Sub)string-length-based Constraints through a Grammatical Inference Method” H. Rulot, E. Vidal. Pattern Recogniton Theory and Applications, Devijver & Kittler Eds. Springer Verlag, pp.451–459. 1987.

    Google Scholar 

  17. An Efficient Algorithm for the Inference of Circuit-Free Automata” H. Rulot, E. Vidal. Syntactic and Structural Pattern Recognition. G. Ferrat Ed. Springer Verlag, pp.173–184. 1988.

    Google Scholar 

  18. Dynamic Construction of Finite-State Automata from Examples Using Hill-Climbing” M. Tomita. Proc. Fourth Annu. Cogn. Sci. Conf, pp. 105–108. 1982.

    Google Scholar 

  19. Application of the Error-Correcting Grammatical Inference Algorithm (ECGI) to Planar Shape Recognition” E. Vidal, H. Rulot, J.M. Valiente, G. Andreu. Grammatical Inference: Theory, Applications and Alternatives. S.24 (1–10), 1993.

    Google Scholar 

  20. Probabilistic Languages: A Review and some Open Questions” C.S. Wetherell. Computing Surveys, Vol.12, No.4, pp.361–379, 1980.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Rafael C. Carrasco Jose Oncina

Rights and permissions

Reprints and permissions

Copyright information

© 1994 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Sánchez, J.A., Benedí, J.M. (1994). Statistical inductive learning of regular formal languages. In: Carrasco, R.C., Oncina, J. (eds) Grammatical Inference and Applications. ICGI 1994. Lecture Notes in Computer Science, vol 862. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-58473-0_143

Download citation

  • DOI: https://doi.org/10.1007/3-540-58473-0_143

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-58473-5

  • Online ISBN: 978-3-540-48985-6

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics