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Bayesian consensus clustering in multiplex networks.

Petar Jovanovski1, Ljupco Kocarev1

  • 1Research Center for Computer Science and Information Technologies, Macedonian Academy of Sciences and Arts, Bul Krste Misirkov 2, 1000 Skopje, Republic of North Macedonia.

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We introduce a Bayesian consensus stochastic block model for analyzing multiplex networks with diverse relationships. This method enhances accuracy in community detection by integrating heterogeneous relations and managing parameter uncertainty.

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Area of Science:

  • Network Science
  • Statistical Modeling
  • Computational Statistics

Background:

  • Multiplex networks feature complex, heterogeneous relationships between entities.
  • Existing models often struggle to integrate diverse relation types effectively.
  • Statistical network analysis is increasingly leveraging concepts like exchangeability.

Purpose of the Study:

  • To develop a Bayesian consensus stochastic block model for multiplex networks.
  • To enable integrated analysis of heterogeneous relations within these networks.
  • To provide a robust framework for community detection and parameter uncertainty handling.

Main Methods:

  • Bayesian consensus stochastic block modeling applied to multiplex networks.
  • Approximation of posterior distribution using Markov chain Monte Carlo (MCMC).
  • Detailed derivation and implementation of a Gibbs sampler.

Main Results:

  • The model successfully integrates heterogeneous relations for more accurate block assignments.
  • The framework effectively handles uncertainty in model parameters.
  • Demonstrates the utility of exchangeability in statistical network analysis.

Conclusions:

  • The proposed Bayesian model offers a powerful tool for analyzing complex multiplex networks.
  • Integrated analysis of diverse relations leads to improved community detection.
  • The concept of exchangeability is crucial for advancing statistical network analysis.