Sharpening Occam's Razor

Ming Li; John Tromp; Paul Vitanyi

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Sharpening Occam's Razor

Ming Li·John Tromp·Paul Vitanyi

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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: (i) Obtain better sample complexity than both length-based and VC-based versions of Occam's razor theorem, in many applications. (ii) Achieve a sharper reverse of Occam's razor theorem than previous work. Specifically, we weaken the assumptions made in an earlier publication, and extend the reverse to superpolynomial running times.

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cs.LG cond-mat.dis-nn cs.AI cs.CC math.PR physics.data-an

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Ming Li, John Tromp, Paul Vitanyi. 2002-10-10. Sharpening Occam's Razor. https://arxiv.org/abs/cs/0201005

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