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Q55Section DA (Data Science and Artificial Intelligence (Q11–Q65))55 of 65

Regularized loss for a single prediction under ridge regression with MAE

Consider that Linear Ridge Regression is being used to learn a prediction function ypred=wTxy_{pred} = w^Tx, where w,x∈R2w, x \in \mathbb{R}^2 and Mean Absolute Error (MAE) is used to measure the prediction error. A weight of 0.20 is associated with the regularizer. At an intermediate step of the training process, assume that the parameter w=[−3.00,4.00]Tw = [-3.00, 4.00]^T. In the next step, for the input x=[1.00,2.00]Tx = [1.00, 2.00]^T, the predicted value of yy is noted. Let the relation between x=[x1,x2]Tx = [x_1, x_2]^T and the true value of yy be ytrue=x1+x2y_{true} = x_1 + x_2. The value of the overall regularized loss function for this instance is _______ . (Rounded off to two decimal places)

Numerical answer: type the number (no options).

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