Please derive the gradient of the loss function in logistic regression (i.e., the logistic loss as...

 

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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 is a vector and the model parameter. N L(w) = Σlog(1 + exp (x/w)) — y₁x{w i=1 where (x₁, y₁) represents the i-th example, x₁ being data vector for input variables and yi being the label. N is the total number of examples in the data. 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) = Σlog(1 + exp (x/w)) — y₁x{w i=1 where (x₁, y₁) represents the i-th example, x₁ being data vector for input variables and yi being the label. N is the total number of examples in the data.

Answer rating: 100% (QA)

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... View the full answer