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19 views

probabilities associated with each node in a bayesian network

for the following bayesian network I need to list the probabilities( and/or conditional probabilities) that are associated with each node. Node A is pointing to Node B Node B is pointing to Node C ...
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0answers
36 views

How to prove theorem about consistency of Markov edge process?

How to prove such theorem: Markov edge process $p_E(y_E)$ with respect to DAG $G=(V,E)$ defined as $p_E(y_E) = \prod_{v \in V} p_E\left(y_{E_{\rm out}(v)} \,\big|\, y_{E_{\rm in}(v) } \right) = ...
2
votes
0answers
103 views

Building Bayesian Networks, Causality and Cyclic Reasoning

I am studying Bayesian Statistics and I am trying to get a good understanding on Bayesian Networks, which seems to be vital in order to make something useful in Machine Learning. Most of the texts I ...
1
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0answers
69 views

Expected distance traversed between 2 vertices on probabilistic graph

Let $V = \{1,2,3,...,N\}$ be the vertex set of a graph. Let $d(i,j)>=0$ represent the $(i,j)$ vertex distance between vertices $i$ and $j$, $i \in V, j \in V$. Now, define a non-negative number ...
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0answers
24 views

Naive Bayesian Classifier for Object with Variable attributes

Let say our objects are connected graphs. They are to be classified into two categories, say A and B. However, for our purpose attributes for each graph is equal to the number of vertex of the graph ...
1
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0answers
56 views

How to make this inference: Degree of a node in a graph is significantly diffenrent from poisson distribution

I am working on Gene-Gene interaction graphs. I build a graph by adding edges between genes (nodes) which show statistical interaction in predicting a quantitative parameter value (say, brain volume) ...