Learning families of closed sets in matroids

  • Authors:
  • Ziyuan Gao;Frank Stephan;Guohua Wu;Akihiro Yamamoto

  • Affiliations:
  • Department of Mathematics, National University of Singapore, Singapore, Republic of Singapore;Department of Mathematics and Department of Computer Science, National University of Singapore, Singapore, Republic of Singapore;School of Physical and Mathematical Sciences, Nanyang Technological University, Singapore;Graduate School of Informatics, Kyoto University, Sakyo-ku, Kyoto, Japan

  • Venue:
  • WTCS'12 Proceedings of the 2012 international conference on Theoretical Computer Science: computation, physics and beyond
  • Year:
  • 2012

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Abstract

In this paper it is studied for which oracles A and which types of A-r.e. matroids the class of all A-r.e. closed sets in the matroid is learnable by an unrelativised learner. The learning criteria considered comprise in particular criteria more general than behaviourally correct learning, namely behaviourally correct learning from recursive texts, partial learning and reliably partial learning. For various natural classes of matroids and learning criteria, characterisations of learnability are obtained.