Consider the problem of nding the minimum of the sphere function for 2 dimensional vectors. The 2 tness function is given by F (x) = 2(xi )2 ....

Please help my computational intelligence assignment question. The question is related to evolutionary computation.

5. Consider the problem of finding the minimum of the sphere function for 2 dimensional vectors. The 2fitness function is given by F (x) = 2(xi )2 . Suppose the current PSO situation (at time t) contains 4 [=1 _ 1 0 —1 1 1 —1particles x1(t)= 2 x2(t)= 2 X3(t)= _1 X4(t)= 0 . xgbcsta): 0 , xlbestza): —l . 1 0Consider particle X2: currently, prestza) = [I] ; v2 (t) =[ J ; and assume p1 = p2 = 1. A. Perform one PSO iteration (t+l) for m if the neighborhood topology is the ring topology (in the orderlisted). B. Perform one PSO iteration for X2 if the neighborhood topology is the star topology.