Problem 3 (Cost-sensitive classification). Suppose you face a binary classificationprob- lem with in
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You will choose a brand from the list provided which you can find and collect brand-related…February 18, 2021Write the equation of a line with a slope of -2 and a y-intercept of 6.February 18, 2021Problem 3 (Cost-sensitive classification). Suppose you face a binary classificationprob- lem with input space X = R and output space Y = {0, 1}, where it is c timesas bad to commit a “false positive†as it is to commit a “false negative†(for somereal number c ≥ 1). To make thisconcrete, let’s say that if your classifier predicts 1 but the correct label is 0, you incura penalty of$c; if your classifier predicts 0 but the correct label is 1, you incur a penalty of ✩1.(And you incur no penalty if your classifier predicts the correct label.)Assume the distribution you care about N(0, class prior 0, and = 2/3 and π1/3, and the class conditional densities are has a1) for class with π0 N(1, 1/4) for1 =class 1. Let f * : R → {0, 1} bethe classifier with the smallest expected penalty.(a)(b)Assume 1 ≤ c ≤ 1.5. Specify precisely (and with a simple expression involvingc) the region in which the classifier f * predicts 1.Now instead assume c ≥ 10. Specify precisely the region in which the classifier fpredicts 1.1 “Looking for a Similar Assignment? Get Expert Help at an Amazing Discount!” “Is this question part of your assignment? We Can Help!”
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