Score: 0

Review on Determining the Number of Communities in Network Data

Published: March 1, 2025 | arXiv ID: 2503.00352v1

By: Zhengyuan Du, Jason Cui

Potential Business Impact:

Finds hidden groups in connected data.

Business Areas:
Professional Networking Community and Lifestyle, Professional Services

This paper reviews statistical methods for hypothesis testing and clustering in network models. We analyze the method by Bickel et al. (2016) for deriving the asymptotic null distribution of the largest eigenvalue, noting its slow convergence and the need for bootstrap corrections. The SCORE method by Jin et al. (2015) and the NCV method by Chen et al. (2018) are evaluated for their efficacy in clustering within Degree-Corrected Block Models, with NCV facing challenges due to its time-intensive nature. We suggest exploring eigenvector entry distributions as a potential efficiency improvement.

Page Count
11 pages

Category
Statistics:
Methodology