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(b) (3 points) Let's investigate one of the 71 functions in the summation in the MSE loss function. Dene 9.; (7) = %(y3 79:02 for

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(b) (3 points) Let's investigate one of the 71 functions in the summation in the MSE loss function. Dene 9.; (7) = %(y3 79:02 for i = 1, . . . , n. Recall from calculus that we can use the 2nd derivative of a function to describe its curvature about a certain point (if it is facing concave up, down, or possibly a point of inection). You can take the following as a fact: A function is convex if and only if the function's 2nd derivative is nonnegative on its domain. Based on this property, verify that 9.; is a convex function. (2 points) Briey explain intuitively in words why given a convex function 9(29), the critical points we get by solving 190\") W digff) is a function of :c (and not a constant). 0 minimizes 9. You can assume that

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