arXiv:2507.19702cs.SIcs.AI2025-07

用轻量模型高效识别复杂网络中的关键节点

A Lightweight Deep Learning-based Model for Ranking Influential Nodes in Complex Networks

  • 结合一维卷积与GraphSAGE,用度和邻居度构建输入特征
  • 在12个真实网络上比顶尖深度学习模型提升4.73%相关性、7.67%相似性
  • 运行速度快,适合大规模网络应用,排名区分度极高

在复杂网络中识别关键节点是跨领域的重要任务,但现有方法常在精度与效率间权衡。为此,我们提出1D-CGS,一种轻量级混合模型,融合一维卷积神经网络(1D-CNN)的高效性与GraphSAGE的拓扑表征能力,用于快速节点排序。模型基于节点度与平均邻居度两个基础拓扑特征构建轻量输入,经1D卷积提取局部模式后,通过GraphSAGE聚合邻域信息。将节点排序问题建模为回归任务,并使用SIR模型生成影响度真值。1D-CGS先在Barabasi-Albert生成的合成网络上训练,再应用于12个真实网络。实验表明,其在排名准确率上显著优于传统中心性指标与近期深度学习模型,平均提升Kendall's Tau相关性4.73%、Jaccard相似性7.67%;平均单调性指数(MI)达0.99,排名分布近乎完美。所有实验均显示其运行时间远低于现有深度学习方法,适用于大规模场景。

原文摘要 · Abstract (English)

Identifying influential nodes in complex networks is a critical task with a wide range of applications across different domains. However, existing approaches often face trade-offs between accuracy and computational efficiency. To address these challenges, we propose 1D-CGS, a lightweight and effective hybrid model that integrates the speed of one-dimensional convolutional neural networks (1D-CNN) with the topological representation power of GraphSAGE for efficient node ranking. The model uses a lightweight input representation built on two straightforward and significant topological features: node degree and average neighbor degree. These features are processed through 1D convolutions to extract local patterns, followed by GraphSAGE layers to aggregate neighborhood information. We formulate the node ranking task as a regression problem and use the Susceptible-Infected-Recovered (SIR) model to generate ground truth influence scores. 1D-CGS is initially trained on synthetic networks generated by the Barabasi-Albert model and then applied to real world networks for identifying influential nodes. Experimental evaluations on twelve real world networks demonstrate that 1D-CGS significantly outperforms traditional centrality measures and recent deep learning models in ranking accuracy, while operating in very fast runtime. The proposed model achieves an average improvement of 4.73% in Kendall's Tau correlation and 7.67% in Jaccard Similarity over the best performing deep learning baselines. It also achieves an average Monotonicity Index (MI) score 0.99 and produces near perfect rank distributions, indicating highly unique and discriminative rankings. Furthermore, all experiments confirm that 1D-CGS operates in a highly reasonable time, running significantly faster than existing deep learning methods, making it suitable for large scale applications.

网络分析深度学习节点排名轻量化模型

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