i) 3pt What is the goal of Support Vector Machines? What are support vectors and what is the margin? Explain them by using a simple 2-dimensional problem. ii) 7pt Explain the terms that define the weights that are learned at the end of a support vector training, given the following: w=t rt xt w: weight vector t: .. t : rt : xt : iii) 4pt What can kernel functions K(xt ,x) be said to measure and what purpose do they serve?

i) 3pt - What is the goal of Support Vector Machines? What are support vectors and what is the margin? Explain them by using a simple 2-dimensional problem. ii) 7pt - Explain the terms that define the weights that are learned at the end of a support vector training, given the following: w=trtxt w: weight vector t xt iii) 4pt - What can kernel functions K(xt,x) be said to measure and what purpose do they serve