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Consider the situation on the picture above, where colored points correspond to examples from 4 different classes: Consider the following objective function J(h) =

  

Consider the situation on the picture above, where colored points correspond to examples from 4 different classes: Consider the following objective function J(h) = E, [E[h(x)] E[h(x)|y|]], where h is the hypothesis (visualized as a black partitioning line on the picture), Eh(x)] is the expected positive margin and E[h(r)ly] denotes the expected positive margin for class y. What is the value of the objective function that corresponds to the situation presented on the picture? Justify your answer by showing appropriate derivations. 1.5 6 6 8

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