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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 …
Ufuk Can Bicici's user avatar
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 …
Ufuk Can Bicici's user avatar
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 …
Ufuk Can Bicici's user avatar
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 …
Ufuk Can Bicici's user avatar