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Please derive the gradient of the loss function in logistic regression (i.e., the logistic loss as shown in below) with respect to w, which

Please derive the gradient of the loss function in logistic regression (i.e., the logistic lossas shown in below) with respe 

Please derive the gradient of the loss function in logistic regression (i.e., the logistic loss as shown in below) with respect to w, which is a vector and the model parameter. N L(w) = log(1 + exp (x/w)) yx{w i=1 where (x, y) represents the i-th example, x being data vector for input variables and yi being the label. N is the total number of examples in the data.

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The gradient of the loss function with respect to w can be written as Lw N i1 1 1 expxi w yi xi w2 w... blur-text-image

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