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Consider a training set S = { ( x 1 , y 1 ) , . . . , ( x n , y n

Consider a training set S={(x1,y1),...,(xn,yn)} where xi in {0,1}3. In other words, each sample has 3 Boolean features {x1,x2,x3}. You are also given the classification rule
Y=(x1??x2)vv(notx1??notx2).
We try to learn the function f:xY using a "depth 1 decision trees". A "depth-1
decision tree" is a tree with two leaves, all distance 1 from the root.
Analyze this problem and decide the appropriate sample complexity formula. Justify your answer.
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