Clarification on VC bound
Hi,
I would like to request a little clarification on the VC bound from Lecture 6. For the slide entitled "What to do about Eout?", I understand that the Ein and Ein' both track Eout, although more loosely than Ein on just one sample. But I don't understand why having the Ein on two samples (Ein and Ein') allows us to characterize them in terms of dichotomies. What is so special about 2 samples (why not 1 or 3?)? Is this something that becomes clear in the proof (which I haven't looked at yet) or is this something that can be understood conceptually? Sorry I wasn't able to ask this question in the Q&A but it is not practical for me to follow the lectures live. Thanks a lot. 
Re: Clarification on VC bound
So the proof is only available in the coursebook?

Re: Clarification on VC bound
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Re: Clarification on VC bound
I have a question regarding a statement made in the textbook. On page 51 in the second paragraph, it is said that the m_H grows logarithmically with N and so is crushed by the factor 1/N. First, igiven that (from page 50) m_H is bounded from above by N^d_vc + 1, how is it true that m_H grows logarithmically with N? Second, is the crushed part of the statement saying that a function that is of the form f1=log(N) is dominated by a function f2=1/x in the sense that f1/f2 tends to zero as N tends to infinity?
Thanks for your help in clarifying this point. 
Re: Clarification on VC bound
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