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A Bayesian network is a probabilistic directed acyclic graph. Nodes represent random variables in the Bayesian sense (observable or unobservable); edges represent conditional dependencies between nodes.
2
votes
How to compute this conditional probability in Bayesian Networks?
Generally there is a very efficient algorithm called Belief Propagation, which gives exact results when the structure of the Bayesian Network is a singly connected tree (there is only a single path be …
3
votes
1
answer
983
views
Parameters and parameter estimation in graphical models
I try to understand parameter estimation and learning problems at Graphical Models, especially in directed ones (Bayesian Networks). But first of all, I try to understand what exactly a parameter mean …
8
votes
1
answer
3k
views
Why do Bayesian Networks use acyclicity assumption?
Actually, this question is more or less a duplicate of the one which I have asked on math.stackexchange two days ago.
I did not get any answer there but I think now here is a better place to ask thi …
19
votes
3
answers
5k
views
Understanding d-separation theory in causal Bayesian networks
I am trying to understand the d-Separation logic in Causal Bayesian Networks. I know how the algorithm works, but I don't exactly understand why the "flow of information" works as stated in the algori …