Vapnik-Chervonenkis theory: growth function
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A classification problem is considered with observations $x in mathbb{R}^2$ and responses $y in {0,1}$. There is a set of axis-aligned rectangle classifiers $F$. Particularly, сlassifier $f_{a,b} in F$ is defined so: if $a_1 le x_1 le b_1 ,space a_2 le x_2 le b_2$ $f(x)=1$ else $f(x)=0$. The problem is to determine Vapnic-Chervonenkis dimension and growth function for set $F$. I found here that VC-dimension is 4. But I have no idea how to find growth function.
machine-learning
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asked Jan 16 '14 at 20:11
Sergey Sergey
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