Sharpening Occam's Razor

  • Authors:
  • Ming Li;John Tromp;Paul M. B. Vitányi

  • Affiliations:
  • -;-;-

  • Venue:
  • COCOON '02 Proceedings of the 8th Annual International Conference on Computing and Combinatorics
  • Year:
  • 2002

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Abstract

We provide a new representation-independent formulation of Occam's razor theorem, based on Kolmogorov complexity. This new formulation allows us to: - Obtain better sample complexity than both length-based [4] and VC-based[3] versions of Occam's razor theorem, in many applications. - Achieve a sharper reverse of Occam's razor theorem than that of [5]. Specifically, we weaken the assumptions made in [5] and extend the reverse to superpolynomial running times.