Extracting the hierarchical organization of complex systems

Details Extracting the hierarchical organization of complex systems Extracting the hierarchical organization of complex systems

2007-05-11

arxiv.org/abs/0705.1679v1

Physics

Physics and Society

Figures in screen resolution. Version with full resolution figures available at http://amaral.chem-eng.northwestern.edu/Publ

Scientific paper

10.1073/pnas.0703740104

Extracting understanding from the growing ``sea'' of biological and socio-economic data is one of the most pressing scientific challenges facing us. Here, we introduce and validate an unsupervised method that is able to accurately extract the hierarchical organization of complex biological, social, and technological networks. We define an ensemble of hierarchically nested random graphs, which we use to validate the method. We then apply our method to real-world networks, including the air-transportation network, an electronic circuit, an email exchange network, and metabolic networks. We find that our method enables us to obtain an accurate multi-scale descriptions of a complex system.

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