Learning DNF from Random Walks

  • Authors:
  • Nader Bshouty;Elchanan Mossel;Ryan O'Donnell;Rocco A. Servedio

  • Affiliations:
  • -;-;-;-

  • Venue:
  • FOCS '03 Proceedings of the 44th Annual IEEE Symposium on Foundations of Computer Science
  • Year:
  • 2003

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Abstract

We consider a model of learning Boolean functions from examples generated by a uniform random walk on {0, 1}n. We give a polynomial time algorithm for learning decision trees and DNF formulas in this model. This is the first efficient algorithm for learning these classes in a natural passive learning model where the learner has no influence overthe choice of examples used for learning.