Learning DNF formulae under classes of probability distributions

  • Authors:
  • Michele Flammini;Alberto Marchetti-Spaccamela;Luděk Kučera

  • Affiliations:
  • Dept. of Mathematics, Universitá dell'Aquila, 67100 L'Aquila, Italy;Dept. of Computer and System Science, Universitá di Roma "La Sapienza", via Eudossiana 18, 00184 Roma, Italy;Department of Mathematics, Charles University, Malostranske Nam, Praha, Czechoslovakia

  • Venue:
  • COLT '92 Proceedings of the fifth annual workshop on Computational learning theory
  • Year:
  • 1992

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Abstract

We show that 2-term DNF formulae are learnable in quadratic time using only a logarithmic number of positive examples if we assume that examples are drawn from a bounded distribution. We also show that k-term DNF formulae are learnable in polynomial time using positive and negative examples drawn from a bounded distribution.