TD-GCN: A novel fusion method for network topological and dynamical features

IF 5.3 1区 数学 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Chaos Solitons & Fractals Pub Date : 2025-02-01 DOI:10.1016/j.chaos.2024.115731
Xiang Xu , Wei Yang , Lingfei Li , Xianqiang Zhu , Junying Cui , Zihan Zhang , Leilei Wu
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Abstract

The topological and dynamical features of complex networks hold abundant information. How to fully utilize this information for more accurate network structure mining is a significant issue. In this paper, we propose a novel method that simultaneously takes into account both network topological and dynamical features via graph convolutional networks (TD-GCN). Specifically, we obtain the topological features of the network by using the second-order adjacency matrix of the complex network, which captures indirect connections between nodes, for a more detailed representation of network structure, and use the SIS model to generate node state data in the complex network as the dynamical features of the network. The network topological and dynamical features are fused through the graph convolutional neural network. To verify the effectiveness and applicability of our method, we conduct extensive experiments on both simulated networks and real-world networks with various network scales. We comprehensively compare the proposed method with other existing methods in the domains of network link prediction and network node ranking learning. The experimental results show that our method can better capture the characteristic information in complex networks and has better performance compared with other methods.
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TD-GCN:一种新的网络拓扑与动态特征融合方法
复杂网络的拓扑和动态特征蕴含着丰富的信息。如何充分利用这些信息进行更准确的网络结构挖掘是一个重要的问题。本文提出了一种利用图卷积网络(TD-GCN)同时考虑网络拓扑和动态特征的新方法。具体而言,我们利用捕获节点间间接连接的复杂网络的二阶邻接矩阵获得网络的拓扑特征,以更详细地表示网络结构,并使用SIS模型生成复杂网络中的节点状态数据作为网络的动态特征。通过图卷积神经网络融合网络的拓扑特征和动态特征。为了验证我们方法的有效性和适用性,我们在各种网络规模的模拟网络和现实网络上进行了大量的实验。在网络链路预测和网络节点排序学习方面,我们将所提出的方法与其他现有方法进行了综合比较。实验结果表明,该方法能够更好地捕获复杂网络中的特征信息,与其他方法相比具有更好的性能。
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来源期刊
Chaos Solitons & Fractals
Chaos Solitons & Fractals 物理-数学跨学科应用
CiteScore
13.20
自引率
10.30%
发文量
1087
审稿时长
9 months
期刊介绍: Chaos, Solitons & Fractals strives to establish itself as a premier journal in the interdisciplinary realm of Nonlinear Science, Non-equilibrium, and Complex Phenomena. It welcomes submissions covering a broad spectrum of topics within this field, including dynamics, non-equilibrium processes in physics, chemistry, and geophysics, complex matter and networks, mathematical models, computational biology, applications to quantum and mesoscopic phenomena, fluctuations and random processes, self-organization, and social phenomena.
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