Authors: Ait-Taleb nabil
In this paper, I will propose a topology allowing to measure a neighborhood for the Bayesian networks.This topology will correspond to a Kullback-Leibler distance ratio and will allow to know the distance between a current Bayesian network and a Bayesian network having a chain rule. This topology applied to Bayesian networks will be normalized and will therefore vary from 0 to 1. The value 0 will correspond to a Bayesian network with a chain rule and the value 1 to a Bayesian network without edges.
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