Bayesian Networks

Question 1

Describe the syntax and the semantics of a Bayesian network.

Answer 1

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Question 2

What is a conditional probability table in a Bayesian network?

15/06/2021

Answer 2

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Question 3

What are the similarities and the differences between Bayesian networks and CP-nets?

Answer 3

Similarities:

• Both use directed acyclic graph
• set of nodes, one per variable
• set of oriented arcs. Where X -> Y means X directly influences Y.

Differences:

• graphical structure in both models relies on a certain notion of independence between the variables: Bayesian networks utilize the notion of probabilistic independence, while CP-nets utilize the notion of preferential independence
• CP-nets: for modeling qualitative and conditional preferences. (Ex., Red wine is better than white wine if there is meat)
• BayesNetw: are used to reason under uncertainty according to the laws of probability theory.

Is a simple graphical notation to represent the dependencies among variables and for compact specification of any full joint probability distribution.

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