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Physical Sciences and Mathematics Commons

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Computer Sciences

Sacred Heart University

Computational learning theory

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Full-Text Articles in Physical Sciences and Mathematics

Language Learning From Positive Data And Negative Counterexamples, Sanjay Jain, Efim Kinber Jun 2008

Language Learning From Positive Data And Negative Counterexamples, Sanjay Jain, Efim Kinber

School of Computer Science & Engineering Faculty Publications

In this paper we introduce a paradigm for learning in the limit of potentially infinite languages from all positive data and negative counterexamples provided in response to the conjectures made by the learner. Several variants of this paradigm are considered that reflect different conditions/constraints on the type and size of negative counterexamples and on the time for obtaining them. In particular, we consider the models where 1) a learner gets the least negative counterexample; 2) the size of a negative counterexample must be bounded by the size of the positive data seen so far; 3) a counterexample may be delayed. …


Learning Multiple Languages In Groups, Sanjay Jain, Efim Kinber Nov 2007

Learning Multiple Languages In Groups, Sanjay Jain, Efim Kinber

School of Computer Science & Engineering Faculty Publications

We consider a variant of Gold’s learning paradigm where a learner receives as input different languages (in the form of one text where all input languages are interleaved). Our goal is to explore the situation when a more “coarse” classification of input languages is possible, whereas more refined classification is not. More specifically, we answer the following question: under which conditions, a learner, being fed different languages, can produce grammars covering all input languages, but cannot produce grammars covering input languages for any . We also consider a variant of this task, where each of the output grammars may not …