Covariance, correlation matrix, and the multiscale community structure of networks.

@article{Shen2010CovarianceCM,
  title={Covariance, correlation matrix, and the multiscale community structure of networks.},
  author={Hua-Wei Shen and Xue-Qi Cheng and Bin-Xing Fang},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  year={2010},
  volume={82 1 Pt 2},
  pages={016114}
}
Empirical studies show that real world networks often exhibit multiple scales of topological descriptions. However, it is still an open problem how to identify the intrinsic multiple scales of networks. In this paper, we consider detecting the multiscale community structure of network from the perspective of dimension reduction. According to this perspective, a covariance matrix of network is defined to uncover the multiscale community structure through the translation and rotation… CONTINUE READING
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