Question: Given a dataset D = {Xi, Yi}=1, here x; E Rd, Yi E {0,1}, we use a logistic regression model to fit the data that

 Given a dataset D = {Xi, Yi}=1, here x; E Rd,

Given a dataset D = {Xi, Yi}=1, here x; E Rd, Yi E {0,1}, we use a logistic regression model to fit the data that P(y = 1 x) = 0(wTy 'x). Which of the following optimization problem returns the Maximal Likelihood Estimator (MLE) W*? Ow* = arg maxwerd ITX [o(wx;)] (1 0(w+x;)]2-yi Ow* = arg maxwerd II%, [0(w?x;)]ly (1 0(wx;)]\ Ow* = arg maxwerd L*-y; log(1 te w'xi) (1 Yi) log(1 e w"xi) Ow* = arg maxwerd LX y; log(1 +e+ywxi) - N Li=1

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