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(Solved): (First Order Methods) (a) Define Lipschitz continuity. Explain why this is an important property fo ...



(First Order Methods)

(a) Define Lipschitz continuity. Explain why this is an important property for a domain to have when first order methods are used. (6 marks)

(b) Given the function f(x) = x3 – 2x2 + 1 and an x1 of 3 calculate the first three iterations of the Gradient Descent method. You may assume that gamma has a value of 0.001. All calculations must be rounded to four digits of precision



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a) Lipschitz continuity is a property of a function that states that the function has a bounded rate
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