Especially for e) and f)

Problem 4 Clique Trees in BN This question concerns the distribution p(a,b,c,d,e,f,g,h,i)=p(a)p(ba)p(ca)p(da)p(eb)p(fc)p(gd)p(he,f)p(if,g) a) Draw the Belief Network for this distribution. b) Draw the moralized graph. c) Draw the triangulated graph. Your triangulated graph should contain cliques of the smallest size possible. d) Draw a junction (clique) tree for the above graph and verify that it satisfies the running intersection property. e) Describe a suitable initialization of clique potentials. f) Describe the Absorption procedure and an appropriate message updating schedule