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ml-recall

#message-passing

11 questions from Probabilistic & Graphical Models, Graph Neural Networks, Landmark Architectures

Timed test

11 questions · 11 min · score and explanations at the end

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Question 1: Short answer

mediumAI-checkedProbabilistic & Graphical Models

In the factor tree below all variables are binary. Part of the factors are:

x3x_3 x4x_4 ϕD\phi_D
0 0 8
1 0 2
0 1 2
1 1 6
x3x_3 x5x_5 ϕE\phi_E
0 0 3
1 0 6
0 1 6
1 1 3

and ϕF(x5=0)=1\phi_F(x_5 = 0) = 1, ϕF(x5=1)=8\phi_F(x_5 = 1) = 8. Using the sum-product algorithm, what is the message μx3→ϕC(x3=0)\mu_{x_3 \to \phi_C}(x_3 = 0) from variable x3x_3 to factor ϕC\phi_C?

a whole number