Let X be a set of 100 uniform points in one by one square, say, 0, 1] x [0, 1]. Let a, b be an other two uniform points from the same square. We construct two clusters centered at a and b as follows: C(a) = {x€X: d(x, a) < d(x, b)) and Cb)= {x€X: d(x, b)< d(x, a) It is an easy exercise to show that E[|C(a)|]= 50. Your task is to compute Elmin(IC(a), IC(b)D] ?
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2019-11-15T11:49:31-0500
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