Problem 5: Let 7 be a reproducing kernel Hilbert space of functions of one variable with reproducing kernel k(s, t ) = 1+ (s - t) 2. You are given data {(tm, ym)}m=1 = {(0, 1), (0.5, -1), (1, 2), (1.5, 0.6) } and asked to solve minimize > lym - f(tm)12 + allfllic, (3) FEH where II . lx is the induced norm on H. (a) Give step-by-step instructions for calculating the solution f of (3). Give numerical values for the entries of all the matrices and vectors that define the problem (but no need to invert any of the matrices). 4/5 1/2 4/13 4/5 1 /5 1/2 K = 1/2 /5 1 4 / 5 2 "/13 1/2 "/5 1 0.6. Solve ( K + " I) 2 = y for a For query t, compute f(t) as: f ( t ) = [a k(t, tm) M= 1