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Published on: November 30, 2018
A social perspective on perceived distances reveals deep community structure
Kenneth S Berenhaut1, Katherine E Moore2, Ryan L Melvin2,3
1Department of Mathematics and Statistics, Wake Forest University, Winston-Salem, NC 27109; berenhks@wfu.edu.
This study introduces a novel method for analyzing community structure in data by using local comparisons. It reveals meaningful group relationships and cohesion without needing extra parameters or assumptions.
Area of Science:
- Data analysis
- Network science
- Social network analysis
Background:
- Understanding community structure is crucial for interpreting complex systems.
- Existing methods often require specific parameters or assumptions that limit their applicability.
- Data with varying density, common in dynamic processes, poses challenges for traditional analysis.
Purpose of the Study:
- To develop a new approach for capturing meaningful structural information from dissimilarity-based data.
- To introduce a measure of local community depth for probabilistic partitioning.
- To enable the identification of community structure without requiring additional inputs or assumptions.
Main Methods:
- Leveraging social concepts of conflict and alignment for local comparisons.
- Introducing a measure of local community depth.
- Developing a universal threshold for distinguishing cohesive pairs.
- Applying the method to diverse datasets including linguistics, cultural psychology, genetics, and benchmark clustering data.
Main Results:
- A novel probabilistic partitioning method is presented, conveying locally interpreted closeness (cohesion).
- The approach effectively identifies meaningful community structure across datasets with varying densities.
- It demonstrates the ability to identify structure without needing the number of clusters, neighborhood size, optimization criteria, or distributional assumptions.
Conclusions:
- The proposed method offers a robust way to identify community structure by focusing on local comparisons and cohesion.
- Its inherent recalibration to data density bypasses the need for localizing parameters common in other methods.
- This approach provides a universal framework applicable to diverse fields and data types.
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