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Localtab Group


Localtab
activetrue
titleEdges

These three graphs are equivalent. They all represent:

  • a direct dependency between N1 and N3,
  • a direct dependency between N3 and N2,
  • an indirect dependency between N1 and N2 (via N3),
  • a conditional independency between N1 and N2 given N3.

They are represented with the following Essential Graph:

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Localtab
titleArcs

This graph does not have any other equivalent graph.

It represents:

  • a direct dependency between N1 and N3,
  • a direct dependency between N2 and N3,
  • an independency between N1 and N2,
  • a conditional dependency betweenN1 andN2 given N3.

The corresponding Essential Graph is the same as the Bayesian network:

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Example

Let's suppose the ground truth network we are looking for is described below:

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Its Essential Graph is as follow:

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Let's assume we have a data set that contains samples from this joint distribution.

After creating 100 data sets with Bootstrap and learning 100 networks, we got the following tables:

Below is the corresponding Synthesis Structure:


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