An upper bound on the sample complexity of PAC-learning halfspaces with respect to the uniform distribution

  • Authors:
  • Philip M. Long

  • Affiliations:
  • Genome Institute of Singapore, 1 Science Park Road, The Capricorn, #05-01, Singapore 117528, Republic of Singapore

  • Venue:
  • Information Processing Letters
  • Year:
  • 2003

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Abstract

We show that halfspaces in n dimensions can be PAC-learned with respect to the uniform distribution with accuracy ε and confidence δ using O(1/ε- (n + log 1/δ)) examples.