Thread: HW 4 question3
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Old 07-31-2012, 10:24 PM
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Default Re: HW 4 question3

Quote:
Originally Posted by data_user View Post
It suggested to use the simple approximate bound N^d_vc for the growth function, if N > d_vc. In Problem 3, N=5<d_vc=50. Should we still use N^d_vc as an approximation for the growth function? Or, maybe it is more reasonable to use 2^N, assuming that H is complex enough?
Indeed, if N<d_{\rm vc}, then the growth function is exactly 2^N. The fact that {\cal H} is complex enough is already implied by the value of the VC dimension.
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