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Determining sufficient searches for community detection is crucial. This study introduces a method to analyze the solution landscape, revealing complementary communities and improving reliability, especially in degenerate cases.

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Area of Science:

  • Network science
  • Computational complexity
  • Data analysis

Background:

  • Complex systems are often analyzed by identifying communities within their interaction networks.
  • Community detection algorithms frequently use multiple stochastic searches due to the impossibility of exploring all potential solutions.
  • Standard methods select the best partition or a consensus, which can be problematic with degenerate solution landscapes.

Purpose of the Study:

  • To address the degeneracy problem in community detection by analyzing the solution landscape.
  • To determine the minimum number of stochastic searches required for adequate landscape description.
  • To propose methods for exploring the solution landscape to reveal complementary communities and enhance detection reliability.

Main Methods:

  • Clustering network partitions based on similarity to create coarse-grained descriptions of the solution landscape.
  • Developing an approach to identify the minimum number of searches needed to adequately represent the solution landscape.
  • Implementing significance clustering to explore the solution landscape and utilize all partitions effectively.

Main Results:

  • The number of required searches correlates with algorithm generality and network community structure clarity.
  • Exploring the coarse-grained solution landscape can uncover complementary community solutions.
  • The proposed methods enable more reliable community detection, particularly when solution landscapes are degenerate.

Conclusions:

  • Coarse-grained landscape analysis provides a robust approach to address degeneracy in community detection.
  • This method optimizes the number of stochastic searches, improving efficiency and reliability.
  • The findings enhance the understanding and application of community detection in complex systems.