Greedy Grammar Induction with Indirect Negative Evidence

Fuente: arXiv
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Auteur principal: Potashnik, Joseph
Format: Preprint
Publié: 2023
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author Potashnik, Joseph
author_facet Potashnik, Joseph
contents This paper offers a fresh look at the pumping lemma constant as an upper bound on the information required for learning Context Free Grammars. An objective function based on indirect negative evidence considers the occurrences, and non-occurrences, of a finite number of strings, encountered after a sufficiently long presentation. This function has optimal substructure in the hypotheses space, giving rise to a greedy search learner in a branch and bound method. A hierarchy of learnable classes is defined in terms of the number of production rules that must be added to interim solutions in order to incrementally fit the input. Efficiency strongly depends on the position of the target grammar in the hierarchy and on the richness of the input.
format Preprint
id arxiv_https___arxiv_org_abs_2312_15321
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Greedy Grammar Induction with Indirect Negative Evidence
Potashnik, Joseph
Computation and Language
This paper offers a fresh look at the pumping lemma constant as an upper bound on the information required for learning Context Free Grammars. An objective function based on indirect negative evidence considers the occurrences, and non-occurrences, of a finite number of strings, encountered after a sufficiently long presentation. This function has optimal substructure in the hypotheses space, giving rise to a greedy search learner in a branch and bound method. A hierarchy of learnable classes is defined in terms of the number of production rules that must be added to interim solutions in order to incrementally fit the input. Efficiency strongly depends on the position of the target grammar in the hierarchy and on the richness of the input.
title Greedy Grammar Induction with Indirect Negative Evidence
topic Computation and Language
url https://arxiv.org/abs/2312.15321