Classes with Easily Learnable Subclasses

  • Authors:
  • Sanjay Jain;Wolfram Menzel;Frank Stephan

  • Affiliations:
  • -;-;-

  • Venue:
  • ALT '02 Proceedings of the 13th International Conference on Algorithmic Learning Theory
  • Year:
  • 2002

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Abstract

Let Exdenote the explanatory model of learning [3,5]. Various more restrictive models have been studied in the literature, an example is finite identification [5]. The topic of the present paper are the natural variants (a) and (b) below of the classical question whether a given learning criteria is more restrictive than Ex-learning. (a) Does every infinite Ex-identifiable class have an infinite subclass which can be identified according to a given restrictive criterion? (b) If an infinite Exidentifiable class S has an infinite finitely identifiable subclass, does it necessarily follow that some appropriate learner Ex-identifies S as well as finitely identifies an infinite subclass of S? These questions are also treated in the context of ordinal mind change bounds.