Teaching classes with high teaching dimension using few examples

  • Authors:
  • Frank J. Balbach

  • Affiliations:
  • Institut für Theoretische Informatik, Universität zu Lübeck, Lübeck, Germany

  • Venue:
  • COLT'05 Proceedings of the 18th annual conference on Learning Theory
  • Year:
  • 2005

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Abstract

We consider the Boolean concept classes of 2-term DNF and 1-decision lists which both have a teaching dimension exponential in the number n of variables. It is shown that both classes have an average teaching dimension linear in n. We also consider learners that always choose a simplest consistent hypothesis instead of an arbitrary consistent one. Both classes can be taught to these learners by efficient teaching algorithms using only a linear number of examples.