Lower bounds on learning random structures with statistical queries

  • Authors:
  • Dana Angluin;David Eisenstat;Leonid Kontorovich;Lev Reyzin

  • Affiliations:
  • Yale University, New Haven, CT;Brown University, Providence, RI;Ben Gurion University of the Negev, Israel;Yahoo! Research, New York, NY

  • Venue:
  • ALT'10 Proceedings of the 21st international conference on Algorithmic learning theory
  • Year:
  • 2010

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Abstract

We show that random DNF formulas, random log-depth decision trees and random deterministic finite acceptors cannot be weakly learned with a polynomial number of statistical queries with respect to an arbitrary distribution on examples.