Thread: Exercise 2.1
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Old 09-21-2015, 04:50 PM
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magdon magdon is offline
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Default Re: Exercise 2.1

Yes, when there is no break point, the theorem says that m_H(N)=2^N for all N. So the theorem is trivially verified.
Originally Posted by ilson View Post

For the convex set case, it seems to me that since N points on a circle can always be shattered, there's always at least one data set of size k that can be shattered by \mathcal{H}. Thus, the break point does not exist for this \mathcal{H}. So then you can't really verify that m_{\mathcal{H}}(k)< 2^k for this case - or can you say that it's trivially true since break point k doesn't even exist? Is this the correct interpretation of this exercise?
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