TAILIEUCHUNG - Báo cáo khoa học: "String Extension Learning"

This paper provides a unified, learningtheoretic analysis of several learnable classes of languages discussed previously in the literature. The analysis shows that for these classes an incremental, globally consistent, locally conservative, set-driven learner always exists. Additionally, the analysis provides a recipe for constructing new learnable classes. Potential applications include learnable models for aspects of natural language and cognition. | String Extension Learning Jeffrey Heinz University of Delaware Newark Delaware USA heinz@ Abstract This paper provides a unified learning-theoretic analysis of several learnable classes of languages discussed previously in the literature. The analysis shows that for these classes an incremental globally consistent locally conservative set-driven learner always exists. Additionally the analysis provides a recipe for constructing new learnable classes. Potential applications include learnable models for aspects of natural language and cognition. 1 Introduction The problem of generalizing from examples to patterns is an important one in linguistics and computer science. This paper shows that many disparate language classes many previously discussed in the literature have a simple natural and interesting because non-enumerative learner which exactly identifies the class in the limit from distribution-free positive evidence in the sense of Gold Gold 1967 .1 These learners are called String Extension Learners because each string in the language can be mapped extended to an element of the grammar which in every case is conceived as a finite set of elements. These learners have desirable properties they are incremental globally consistent and locally conservative. Classes previously discussed in the literature which are string extension learnable include the Locally Testable LT languages the Locally Testable Languages in the Strict Sense 1The allowance of negative evidence Gold 1967 or restricting the kinds of texts the learner is required to succeed on . non-distribution-free evidence Gold 1967 Horning 1969 Angluin 1988 admits the learnability of the class of recursively enumerable languages. Classes of languages learnable in the harder distribution-free positive-evidence-only settings are due to structural properties of the language classes that permit generalization Angluin 1980b Blumer et al. 1989 . That is the central interest here. Strictly Local SL .

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