The consistency dimension and distribution-dependent learning from queries

  • Authors:
  • José L. Balcázar;Jorge Castro;David Guijarro;Hans-Ulrich Simon

  • Affiliations:
  • Dept. LSI, Universitat Politècnica de Catalunya, Campus Nord, 08034 Barcelona, Spain;Dept. LSI, Universitat Politècnica de Catalunya, Campus Nord, 08034 Barcelona, Spain;Mannes Technology Consulting, Pl. Tirant lo Blanc 7, 08005 Barcelona, Spain and Dept. LSI, Universitat Politècnica de Catalunya, Campus Nord, 08034 Barcelona, Spain;Fakultät für Informatik, Lehrstuhl Mathematik und Informatik, Ruhr-Universitaet Bochum, D-44780 Bochum, Germany

  • Venue:
  • Theoretical Computer Science
  • Year:
  • 2002

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Abstract

We prove a new combinatorial characterization of polynomial learnability from equivalence queries, and state some of its consequences relating the learnability of a class with the learnability via equivalence and membership queries of its subclasses obtained by restricting the instance space. Then we propose and study two models of query learning in which there is a probability distribution on the instance space, both as an application of the tools developed from the combinatorial characterization and as models of independent interest.