Assume we are given the ten Bayes nets in Figure S13 26, labeled G 1 to G 10 Assume we are also given the three Bayes nets in Figure S13 27, labeled B 1 to B 3 a Assume we know that a joint distribution d1 (over A, B, C) can be represented by Bayes net B 1 Which of G 1 through G 10 are guaranteed t...

It helps to enumerate all of the conditional independence assumptions encoded in the Bayes nets They are G 1 A B A B C A C A C B B C B C A G 2 A C A C ...

Assume we are given the ten Bayes nets in Figure S13.26, labeled G 1 to G 10

Question:

Assume we are given the ten Bayes nets in Figure S13.26, labeled G₁ to G₁₀. Assume we are also given the three Bayes nets in Figure S13.27, labeled B₁ to B₃.

a. Assume we know that a joint distribution d1 (over A, B, C) can be represented by Bayes net B₁. Which of G₁ through G₁₀ are guaranteed to be able to represent d₁?

b. Assume we know that a joint distribution d₂ (over A, B, C) can be represented by Bayes net B₂. Which of G1 through G₁₀ are guaranteed to be able to represent d₂?

c. Assume we know that a joint distribution d₃ (over A, B, C) cannot be represented by Bayes net B3. Which of G₁ through G₁₀ are guaranteed to be able to represent d3?

d. Assume we know that a joint distribution d₄ (over A, B, C) can be represented by Bayes nets B₁, B₂, and B₃. Which of G1 through G₁₀ are guaranteed to be able to represent d₄?

Figure S13.26