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Directed Graph Clustering Algorithms, Topology, and Weak Links | IEEE Journals & Magazine | IEEE Xplore

Directed Graph Clustering Algorithms, Topology, and Weak Links


Abstract:

In this article, a general approach for directed graph clustering and two new density-based clustering objectives are presented. First, using an equivalence between the c...Show More

Abstract:

In this article, a general approach for directed graph clustering and two new density-based clustering objectives are presented. First, using an equivalence between the clustering objective functions and a trace maximization expression, the directed graph clustering objectives are converted into the corresponding weighted kernel k -means problems. Then, a nonspectral algorithm, which covers both the direction and weight information of the directed graphs, is thus proposed. Next, with Rayleigh’s quotient, the upper and lower bounds of clustering objectives are obtained. After that, we introduce a new definition of weak links to characterize the effectiveness of clustering. Finally, illustrative examples are given to demonstrate effectiveness of the results. This article provides a glance at the potential connection between density-based and pattern-based clustering. Compared with other approaches for directed graph clustering, the method proposed in this article naturally avoids the loss of the nonsymmetric edge data because there is no need for any additional symmetrization.
Page(s): 3995 - 4009
Date of Publication: 15 June 2021

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Cites in Papers - |

Cites in Papers - IEEE (5)

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1.
Jing Xiao, Jing Cao, Xiao-Ke Xu, "Higher-Order Directed Community Detection by A Multiobjective Evolutionary Framework", IEEE Transactions on Artificial Intelligence, vol.5, no.12, pp.6536-6550, 2024.
2.
Vishal Srivastava, Shashank Sheshar Singh, Ankush Jain, "Partition Clustering in Complex Weighted Networks Using K-Cut Ranking and Krill-Herd Optimization", IEEE Transactions on Network Science and Engineering, vol.11, no.5, pp.5035-5044, 2024.
3.
Jing Xiao, Yu-Cheng Zou, Xiao-Ke Xu, "A Metaheuristic-Based Modularity Optimization Algorithm Driven by Edge Directionality for Directed Networks", IEEE Transactions on Network Science and Engineering, vol.10, no.6, pp.3804-3817, 2023.
4.
Jie Zhao, Zhen Wang, Jinde Cao, Kang Hao Cheong, "A Self-Adaptive Evolutionary Deception Framework for Community Structure", IEEE Transactions on Systems, Man, and Cybernetics: Systems, vol.53, no.8, pp.4954-4967, 2023.
5.
Hassan Ismkhan, Mohammad Izadi, "Proposing a Dimensionality Reduction Technique With an Inequality for Unsupervised Learning from High-Dimensional Big Data", IEEE Transactions on Systems, Man, and Cybernetics: Systems, vol.53, no.6, pp.3880-3889, 2023.

Cites in Papers - Other Publishers (2)

1.
Huan Qing, "Estimating Mixed Memberships in Directed Networks by Spectral Clustering", Entropy, vol.25, no.2, pp.345, 2023.
2.
Jing Xiao, Xiao-Ke Xu, "Community detection from fuzzy and higher-order perspectives", Europhysics Letters, vol.144, no.1, pp.11003, 2023.

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