Question: Based on question. Please answer question 2 1. Strong Convexity and Smoothness. Consider the quadratic function 1 f(a:) : iazTQa: + qTa: + c, Where

Based on question. Please answer question 2

Based on question. Please answer question 2 1. Strong Convexity and Smoothness.Consider the quadratic function 1 f(a:) : iazTQa: + qTa: + c,

1. Strong Convexity and Smoothness. Consider the quadratic function 1 f(a:) : iazTQa: + qTa: + c, Where Q, q, and c are given as in a previous problem set: 13 12 2 22 Q: 12 17 6 , q: 14.5 , 021. 2 6 12 13 (a) Is this function smooth? If so, give the smoothness parameter, otherwise report \"00\". (b) Is this function strongly convex? If so, report the strong convexity parameter, otherwise report \"0\". 2. Gradient Descent and Line Search. For the function f (ax) given in the previous problem above, implement gradient descent and plot the suboptimality vs iteration for: (a) gradient descent implemented using a xed step size computed as suggested in the lectures (i.e., as function of the smoothness parameter you computed above), and (b) gradient descent using line search7 as explained in the lectures

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