#moralisation

Question 1: Single choice

hardAI-checkedProbabilistic & Graphical Models

Variables $a, z, h, q, e$ have the Markov blankets $\mathrm{MB}(a) = \{q, z\}$ , $\mathrm{MB}(z) = \{a, q, h\}$ , $\mathrm{MB}(h) = \{z\}$ , $\mathrm{MB}(q) = \{a, z, e\}$ and $\mathrm{MB}(e) = \{q\}$ . Which factorisation describes all positive distributions with these blankets?

$\frac{1}{Z}\,\phi_1(a, q)\,\phi_2(z, q)\,\phi_3(q, e)\,\phi_4(z, h)$ 1
$\frac{1}{Z}\,\phi_1(a, z, q, e)\,\phi_2(z, h)$ 2
$\frac{1}{Z}\,\phi_1(a, z, q)\,\phi_2(q, e)\,\phi_3(z, h)$ 3
$p(a)\,p(z)\,p(q \mid a, z)\,p(h \mid z)\,p(e \mid q)$ 4

Timed test