Sharpening Occam's Razor

نویسندگان

  • Ming Li
  • John Tromp
  • Paul M. B. Vitányi
چکیده

We provide a new representation-independent formulation of Occam’s razor theorem, based on Kolmogorov complexity. This new formulation allows us to: (i) Obtain better sample complexity than both length-based [4] and VC-based [3] versions of Occam’s razor theorem, in many applications; and (ii) 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.

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تاریخ انتشار 2002