Learning Multiple Languages in Groups

Document Type

Book Chapter

Publication Date

2005

Abstract

We consider a variant of Gold’s learning paradigm where a learner receives as input n different languages (in 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 n different languages, can produce m grammars covering all input languages, but cannot produce k grammars covering input languages for any k>m. We also consider a variant of this task, where each of the output grammars may not cover more than r input languages. Our main results indicate that the major factor affecting classification capabilities is the difference n–m between the number n of input languages and the number m of output grammars. We also explore relationship between classification capabilities for smaller and larger groups of input languages. For the variant of our model with the upper bound on the number of languages allowed to be represented by one output grammar, for classes consisting of disjoint languages, we found complete picture of relationship between classification capabilities for different parameters n (the number of input languages), m (number of output grammars), and r (bound on the number of languages represented by each output grammar). This picture includes a combinatorial characterization of classification capabilities for the parameters n,m,r of certain types.

Comments

International Conference on Algorithmic Learning Theory

Part of the Lecture Notes in Computer Science book series, ISBN: 9783540292425, eBook: 9783540316961

DOI

10.1007/11564089_21

Link to Full Text


Share

COinS