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International Colloquium on Grammatical Inference

ICGI 2010: Grammatical Inference: Theoretical Results and Applications pp 258–261Cite as

MDL in the Limit

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

Abstract

We show that within the Gold paradigm for language learning an informer for a superfinite set can cause an optimal MDL learner to make an infinite amount of mind changes. In this setting an optimal learner can make an infinite amount of wrong choices without approximating the right solution. This result helps us to understand the relation between MDL and identification in the limit in learning: MDL is an optimal model selection paradigm, identification in the limit defines recursion theoretical conditions for convergence of a learner.

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References

  1. Gold, E.M.: Language Identification in the Limit. Information and Control 10(5), 447–474 (1967)

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  3. Li, M., Vitányi, P.M.B.: An Introduction to Kolmogorov Complexity and Its Applications, 3rd edn. Springer, New York (2008)

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  4. Zeugmann, T., Lange, S.: A Guided Tour Across the Boundaries of Learning Recursive Languages. In: Lange, S., Jantke, K.P. (eds.) GOSLER 1994. LNCS (LNAI), vol. 961, pp. 190–258. Springer, Heidelberg (1995)

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Author information

Authors and Affiliations

  1. Theory of Computer Science Group, IVI, University of Amsterdam, Science Park 107, 1098, XG, Amsterdam, The Netherlands

    Pieter Adriaans

  2. Logica, Prof. W.H. Keesomlaan, 1183, DJ, Amstelveen, The Netherlands

    Wico Mulder

Authors
  1. Pieter Adriaans
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  2. Wico Mulder
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Editor information

Editors and Affiliations

  1. Departamento de Sistemas Informáticos y Computatión, Universidad Politécnica de Valencia, Camino de Vera s/n, 46022, Valencia, Spain

    José M. Sempere  & Pedro García  & 

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Adriaans, P., Mulder, W. (2010). MDL in the Limit. 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_21

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  • DOI: https://doi.org/10.1007/978-3-642-15488-1_21

  • 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)

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