#conditional-expectation

Question 1: Single choice

hardAI-checkedProbabilistic & Graphical Models

For a model that factorises over the undirected graph below, you want to estimate $\mathbb{E}[x_1 x_2 x_5 \mid x_3, x_4]$ with sample averages. Which data are enough?

Undirected graph with edges x1-x2, x1-x3, x1-x4, x2-x4, x3-x4, x3-x5, x4-x5, x4-x6 and x5-x6.

Joint records of $(x_1, x_2, x_3, x_4)$ and, separately, of $(x_3, x_4, x_5)$ 1
Joint records of all five variables $x_1, \ldots, x_5$ 2
Joint records of $(x_1, x_2, x_5)$ alone3
Separate records of $(x_1, x_3, x_4)$ , $(x_2, x_3, x_4)$ and $(x_3, x_4, x_5)$ 4

#conditional-expectation

Timed test