ml-recall

#gaussian-graphical-model

2 questions from Probabilistic & Graphical Models

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2 questions · 2 min · score and explanations at the end

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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 $x_1, \dots, x_6$ . Let $J = \Sigma^{-1}$ be its information (precision) matrix. How many of the 15 off-diagonal pairs $(i, j)$ , $i < j$ , 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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