On the applications of multiplicity automata in learning

Amos Beimel, Francesco Bergadano, Nader H. Bshouty, Eyal Kushilevitz, Stefano Varricchio

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

33 Scopus citations

Abstract

The learnability of multiplicity automata is studied. Multiplicity automata is a theorem from automata theory relating to the number of states in a minimal multiplicity automation for a function f to the rank of a certain matrix F. This theorem was used to formulate a simple algorithm for learning multiplicity automata with a better query complexity. The theorem was also used to prove the learnability of some classes that were not known to be learnable before. While multiplicity automata were shown to be useful to prove the learnability of some subclasses of DNF formulae and various other classes, it also has some limitations. This method was shown to be unapplicable to resolve the learnability of some other open problems.

Original languageEnglish GB
Title of host publicationAnnual Symposium on Foundations of Computer Science - Proceedings
Pages349-358
Number of pages10
StatePublished - 1 Dec 1996
Externally publishedYes
EventProceedings of the 1996 37th Annual Symposium on Foundations of Computer Science - Burlington, VT, USA
Duration: 14 Oct 199616 Oct 1996

Conference

ConferenceProceedings of the 1996 37th Annual Symposium on Foundations of Computer Science
CityBurlington, VT, USA
Period14/10/9616/10/96

ASJC Scopus subject areas

  • Hardware and Architecture

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