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Nonnegative Matrix Factorization Based on Node Centrality for Community Detection

delete2023-02-28
delete10
PRE
AI
S
Sixing Su
J
Jiewen Guan
B
Bilian Chen *
X
Xin Huang
DOI:10.1145/3578520delete
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Abstract

Abstract

En 中文
Community detection is an important topic in network analysis, and recently many community detection methods have been developed on top of the Nonnegative Matrix Factorization (NMF) technique. Most NMFbased community detection methods only utilize the first-order proximity information in the adjacency matrix, which has some limitations. Besides, many NMF-based community detection methods involve sparse regularizations to promote clearer community memberships. However, in most of these regularizations, different nodes are treated equally, which seems unreasonable. To dismiss the above limitations, this article proposes a community detection method based on node centrality under the framework of NMF. Specifically, we design a new similarity measure which considers the proximity of higher-order neighbors to form a more informative graph regularization mechanism, so as to better refine the detected communities. Besides, we introduce the node centrality and Gini impurity to measure the importance of nodes and sparseness of the community memberships, respectively. Then, we propose a novel sparse regularization mechanism which forces nodes with higher node centrality to have smaller Gini impurity. Extensive experimental results on a variety of real-world networks show the superior performance of the proposed method over thirteen stateof-the-art methods.
Keywords:
Community detection
nonnegative matrix factorization
similarity measure
sparse regularization
optimization

Journal

ACM Transactions on Knowledge Discovery from Data cover
ACM Transactions on Knowledge Discovery from Data
IF:
4.8
Papers:
1.3K
Citations:
4.4K

Organization

X
xiamen university
Scholars:
5.8W
Papers: 3.8W
Citations: 67