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Global spectral clustering in dynamic networks.

Fuchen Liu1, David Choi2, Lu Xie1

  • 1Department of Statistics and Data Science, Carnegie Mellon University, Pittsburgh, PA 15213.

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Summary
This summary is machine-generated.

Persistent communities by eigenvector smoothing (PisCES) enhances community detection in uncertain dynamic networks. This novel method improves inference by integrating longitudinal network data, outperforming existing approaches in low signal-to-noise conditions.

Keywords:
community detectiondynamic networksgene expression networks

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Area of Science:

  • Network science
  • Computational biology
  • Developmental neuroscience

Background:

  • Community detection in networks with uncertain structures is difficult.
  • Dynamic networks offer temporal information but introduce complexity.
  • Existing methods struggle with low signal-to-noise ratios and small sample sizes.

Purpose of the Study:

  • To introduce Persistent Communities by Eigenvector Smoothing (PisCES), a global community detection method for dynamic networks.
  • To leverage longitudinal network data for robust inference in each time period.
  • To provide data-driven parameter selection for the PisCES method.

Main Methods:

  • PisCES integrates information across a series of networks longitudinally.
  • The method is derived from evolutionary spectral clustering and degree correction.
  • Data-driven solutions for tuning parameter selection are incorporated.

Main Results:

  • PisCES outperforms competing methods in simulations, especially under low signal-to-noise conditions.
  • Application to rhesus monkey brain gene expression data reveals dynamic community structures.
  • The method successfully identifies persistent, merging, and diverging gene communities over developmental time.

Conclusions:

  • PisCES offers a powerful approach for dynamic community detection in challenging network data.
  • The method provides insights into the temporal development of biological systems, such as brain gene communities.
  • PisCES addresses limitations of small sample sizes in longitudinal studies.