Home /
Expert Answers /
Computer Science /
first-order-methods-a-define-lipschitz-continuity-explain-why-this-is-an-important-property-fo-pa493

(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

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