On exact learning halfspaces with random consistent hypothesis oracle

  • Authors:
  • Nader H. Bshouty;Ehab Wattad

  • Affiliations:
  • Department of Computer Science, Technion, Haifa, Israel;Department of Computer Science, Technion, Haifa, Israel

  • Venue:
  • ALT'06 Proceedings of the 17th international conference on Algorithmic Learning Theory
  • Year:
  • 2006

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Abstract

We study exact learning of halfspaces from equivalence queries. The algorithm uses an oracle RCH that returns a random consistent hypothesis to the counterexamples received from the equivalence query oracle. We use the RCH oracle to give a new polynomial time algorithm for exact learning halfspaces from majority of halfspaces and show that its query complexity is less (by some constant factor) than the best known algorithm that learns halfspaces from halfspaces.