Math: - Describe what convex function is? Why do we want convex functions? - What is gradient descent? What are second-order optimisation algorithms? How can the 2nd derivative be used in an optimisation algorithm? - Describe Newton's method? Where does it come from? How can it be adapted to find a minimum in a function? - What is the formula for the Taylor series? Why does it make sense? Why is there a 1/n! in the formula? - What is Bayes' Formula? Can you give an example? - What is an invertible matrix? What are the criteria that apply? What are the procedures to invert a Matrix? Can you describe the Gauss Process to invert a matrix?