Question: Suppose that f : Rn R is a convex function with L-Lipschitz gradient and a minimizer x with function value f = f (x). (You

Suppose that f : Rn R is a convex function with L-Lipschitz gradient and a minimizer x with function value f = f (x). (You may find hints in Page 25 of "Optimization for Data Analysis.") (a) Show that for any x Rn, we have f (x) f 1 2Lf (x)2

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