STRUCTURE 1 Basic PAC Ideas 2 Basic Margin Ideas 3 Their Exploitation 4 And Extension 5 Conclusions Aim 1999
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(0) (0 Votes)Views: (1041) Date: (08-04-09) Pages: () -
Author: unknown authors
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Abstract: PAC BOUNDS AS A STARTING POINT ffl Let H be a set of f\Gamma 1; 1g valued functions. ffl The growth function BH (m) is the maximumcardinality of the set of functions H whenrestricted to m points. ffl Consider a plot of the log of the growth function log2(BH (m)) as a function of m: d COLT'99 3 Vapnik Chervonenkis dimension ffl The Vapnik-Chervonenkis dimension is the pointat which the graph stops being linear: VCdim(H) = maxfm: for some x1; : : : ; xm; for all b 2 f\Gamma 1; 1gm; 9hb 2 H; hb(xi) = big ffl For linear functions L in R n, VCdim(L) = n + 1. ffl Sauer's Lemma: BH (m) ^ dX i=0 `
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