Mbzuai Entry Exam Sample Questions Best File

Let ( f(x) = x^4 - 3x^2 ). a) Compute the gradient and Hessian. b) Starting at ( x_0 = 2 ), perform one step of gradient descent with learning rate ( \eta = 0.1 ). c) Is ( f ) convex? Justify.

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( \fracN - FS + 1 = \frac5 - 32 + 1 = 1 + 1 = 2 ). Answer: (b) 2x2. Let ( f(x) = x^4 - 3x^2 )