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1 question from Probabilistic & Graphical Models

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Question 1: Short answer

hardAI-checkedProbabilistic & Graphical Models

The directed graph below is a perfect map of a multivariate Gaussian over $x_1, \dots, x_6$ . You marginalize out $x_3$ and get a Gaussian over $x_1, x_2, x_4, x_5, x_6$ with information matrix $J'$ . How many of its 10 off-diagonal pairs must have $J'_{ij} = 0$ ?

Directed graph with edges x1 → x3, x1 → x4, x2 → x3, x2 → x4, x3 → x5, x4 → x5 and x4 → x6.

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