Title
A density-based statistical analysis of graph clustering algorithm performance
Abstract
We introduce graph clustering quality measures based on comparisons of global, intra- and inter-cluster densities, an accompanying statistical significance test and a step-by-step routine for clustering quality assessment. Our work is centred on the idea that well-clustered graphs will display a mean intra-cluster density that is higher than global density and mean inter-cluster density. We do not rely on any generative model for the null model graph. Our measures are shown to meet the axioms of a good clustering quality function. They have an intuitive graph-theoretic interpretation, a formal statistical interpretation and can be tested for significance. Empirical tests also show they are more responsive to graph structure, less likely to breakdown during numerical implementation and less sensitive to uncertainty in connectivity than the commonly used measures.
Year
DOI
Venue
2020
10.1093/comnet/cnaa012
Journal of Complex Networks
Keywords
DocType
Volume
graph clustering,graph community detection,modularity,conductance,graph mining,network science,complex networks,social networks,unsupervised learning,data science,data analysis
Journal
8
Issue
ISSN
Citations 
1
2051-1310
0
PageRank 
References 
Authors
0.34
0
6
Name
Order
Citations
PageRank
Pierre Miasnikof100.34
Alexander Y. Shestopaloff201.35
Anthony J. Bonner3733422.63
yuri lawryshyn452.11
P. M. Pardalos526945.19
Ernesto Estrada600.34