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Please use this identifier to cite or link to this item: https://dspace.lboro.ac.uk/2134/6458

Title: Inferring descriptive generalisations of formal languages
Authors: Freydenberger, Dominik D.
Reidenbach, Daniel
Issue Date: 2010
Publisher: OmniPress for the Association for Computational Learning (ACL) / © The authors
Citation: FREYDENBERGER, D.D. and REIDENBACH, D., 2010. Inferring descriptive generalisations of formal languages. IN: Kalai, A.T. and Mohri, M. (eds). COLT 2010: Proceedings of the 23rd Conference on Learning Theory, Haifa, Israel, June 27-29, 2010. Madison, Wisconsin : OmniPress, pp. 194-206.
Abstract: In the present paper, we introduce a variant of Gold-style learners that is not required to infer precise descriptions of the languages in a class, but that must find descriptive patterns, i.e., optimal generalisations within a class of pattern languages. Our first main result characterises those indexed families of recursive languages that can be inferred by such learners, and we demonstrate that this characterisation shows enlightening connections to Angluin’s corresponding result for exact inference. Using a notion of descriptiveness that is restricted to the natural subclass of terminal-free E-pattern languages, we introduce a generic inference strategy, and our second main result characterises those classes of languages that can be generalised by this strategy. This characterisation demonstrates that there are major classes of languages that can be generalised in our model, but not be inferred by a normal Gold-style learner. Our corresponding technical considerations lead to deep insights of intrinsic interest into combinatorial and algorithmic properties of pattern languages.
Description: This conference paper is also freely available online from: http://www.colt2010.org/proceedings.html
Version: Accepted for publication
URI: https://dspace.lboro.ac.uk/2134/6458
ISBN: 9780982252925
Appears in Collections:Conference Papers and Presentations (Computer Science)

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