Chessa, Alessandro and Crimaldi, Irene and Riccaboni, Massimo and Trapin, Luca Cluster analysis of weighted bipartite networks: a new copula-based approach. EIC working paper series #3/2014 IMT Institute for Advanced Studies Lucca
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Abstract
In this work we are interested in identifying clusters of "positional equivalent" actors, i.e. actors who play a similar role in a system. In particular, we analyze weighted bipartite networks that describes the relationships between actors on one side and features or traits on the other, together with the intensity level to which actors show their features. The main contribution of our work is twofold. First, we develop a methodological approach that takes into account the underlying multivariate dependence among groups of actors. The idea is that positions in a network could be defined on the basis of the similar intensity levels that the actors exhibit in expressing some features, instead of just considering relationships that actors hold with each others. Second, we propose a new clustering procedure that exploits the potentiality of copula functions, a mathematical instrument for the modelization of the stochastic dependence structure. Our clustering algorithm can be applied both to binary and real-valued matrices. We validate it with simulations and applications to real-world data.
| Item Type: | Working Paper (EIC working paper series) |
|---|---|
| Additional Information: | Published in PloS One (ISSN 1932-6203): http://dx.doi.org/10.1371/journal.pone.0109507 |
| Projects: | Project “CRISIS Lab” |
| Uncontrolled Keywords: | clustering, complex network, copula function, positional analysis, weighted bipartite network. |
| Subjects: | H Social Sciences > HB Economic Theory Q Science > QA Mathematics |
| Research Area: | Economics and Institutional Change |
| Depositing User: | Ms T. Iannizzi |
| Date Deposited: | 10 Apr 2014 12:19 |
| Last Modified: | 27 Oct 2014 10:46 |
| URI: | http://eprints.imtlucca.it/id/eprint/2189 |
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