Consider the cost matrix for a two-class problem. Let C(+, +) = C(?, ?) = p, C(+, ?) = C(?, +) = q, and q>p. Show that min- imizing the cost function is equivalent to maximizing the classifier’s accuracy.

What will be an ideal response?






The total cost is F = p(a + d) + q(b + c).



Since acc = a+d







N , where N = a + b + c + d, we may write















Because p ? q is negative, minimizing the total cost is equivalent to



maximizing accuracy.

Computer Science & Information Technology

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