Title
Local Graph Clustering With Network Lasso
Abstract
We study the statistical and computational properties of a network Lasso method for local graph clustering. The clusters delivered by nLasso can be characterized elegantly via network flows between cluster boundaries and seed nodes. While spectral clustering methods are guided by a minimization of the graph Laplacian quadratic form, nLasso minimizes the total variation of cluster indicator signals. As demonstrated theoretically and numerically, nLasso methods can handle very sparse clusters (chain-like) which are difficult for spectral clustering. We also verify that a primal-dual method for non-smooth optimization allows to approximate nLasso solutions with optimal worst-case convergence rate.
Year
DOI
Venue
2021
10.1109/LSP.2020.3045832
IEEE Signal Processing Letters
Keywords
DocType
Volume
Clustering algorithms,distributed algorithms,flow graphs,machine learning,network theory (graphs),semisupervised learning
Journal
28
ISSN
Citations 
PageRank 
1070-9908
0
0.34
References 
Authors
0
1
Name
Order
Citations
PageRank
Alexander Jung1133.46