1.7AIJun 26, 2018
Independence of Sources in Social NetworksManel Chehibi, Mouna Chebbah, Arnaud Martin
Online social networks are more and more studied. The links between users of a social network are important and have to be well qualified in order to detect communities and find influencers for example. In this paper, we present an approach based on the theory of belief functions to estimate the degrees of cognitive independence between users in a social network. We experiment the proposed method on a large amount of data gathered from the Twitter social network.
7.0AIMar 17, 2015
Combining partially independent belief functionsMouna Chebbah, Arnaud Martin, Boutheina Ben Yaghlane
The theory of belief functions manages uncertainty and also proposes a set of combination rules to aggregate opinions of several sources. Some combination rules mix evidential information where sources are independent; other rules are suited to combine evidential information held by dependent sources. In this paper we have two main contributions: First we suggest a method to quantify sources' degree of independence that may guide the choice of the more appropriate set of combination rules. Second, we propose a new combination rule that takes consideration of sources' degree of independence. The proposed method is illustrated on generated mass functions.
2.9AIJan 20, 2015
Consid{é}rant la d{é}pendance dans la th{é}orie des fonctions de croyanceMouna Chebbah, Mouloud Kharoune, Arnaud Martin et al.
In this paper, we propose to learn sources independence in order to choose the appropriate type of combination rules when aggregating their beliefs. Some combination rules are used with the assumption of their sources independence whereas others combine beliefs of dependent sources. Therefore, the choice of the combination rule depends on the independence of sources involved in the combination. In this paper, we propose also a measure of independence, positive and negative dependence to integrate in mass functions before the combinaision with the independence assumption.