Question: 2. Consider the function fAG: R? R, A= 1 -2 *], = [1] (c) Compute the first 3 steps 1, z, az of gradient descent,
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2. Consider the function fAG: R? R, A= 1 -2 *], = [1] (c) Compute the first 3 steps 1, z, az of gradient descent, with o = (-10, 4) and n = 0.1. What will happen if we run the algorithm longer? (d) The function f 4 (for the specific values of A and 6 given above) is not strictly convex. Explain how we know this. Hint: use a theorem. (e) In general, what property of the matrix A determines whether fa is strictly convex? You don't need to prove your answer. 2. Consider the function fAG: R? R, A= 1 -2 *], = [1] (c) Compute the first 3 steps 1, z, az of gradient descent, with o = (-10, 4) and n = 0.1. What will happen if we run the algorithm longer? (d) The function f 4 (for the specific values of A and 6 given above) is not strictly convex. Explain how we know this. Hint: use a theorem. (e) In general, what property of the matrix A determines whether fa is strictly convex? You don't need to prove your
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