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hw2Solutions2013

# A b e c f h d g i a paf pa true

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Unformatted text preview: (g) P (C |A, B, D, E, F, H ) = P (C ) (h) P (A|B, C, D, F, G, H, I ) = P (A) (i) P (D, E |I ) = P (D|I ) P (E |I ) P (A, B, C, D|E, G) = P (A, B |E ) P (C, D|G) Problem 2: Conditional Independence (j) For the belief network shown below, indicate whether the following statements of conditional independence are true (T) or false (F). A B E C F H D G I (a) P(A|F) = P(A) True (b) P(B|C,I) = P(B|I) False (c) P(F,G) = P(F) P(G) True (d) P(E,F,G) = P(E) P(F) P(G) False (e) P(C,D) = P(C) P(D) True 3 (f) P(C,D|I) = P(C|I) P(D|I) False (g) P(C|A,B,D,E,F,H) = P(C) True (h) P(A|B,C,D,F,G,H,I) = P(A) False (i) P(D,E|I) = P(D|I) P(E|I) False (j) P(A,B,C,D|E,G) = P(A,B|E) P(C,D|G) True Problem 3: Markov Blankets For the graphical model shown in Problem 2, indicate the Markov blanket for the following variables. (a) A {B,E} (b) B {A,E,F} (c) D {C,G} (d) E {A,BF,H} (e) G {C,D,F,I} (f) I {F,G} Problem 4: Variable Eliminat...
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