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Old 04-20-2013, 03:59 AM
Elroch Elroch is offline
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Default Re: A little puzzle

In this example, Michael, it's not really correct to think of the shattered sets of points as being untypical. Almost all integers are very large! For example, given N if you pick a number M and choose a set of N points randomly in [M, 2M], the probability of the points not being shattered by this hypothesis set will tend to zero as M tends to infinity. [exercise for reader ]
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