用层化神经网络提升影响力传播预测与种子节点选择效果
DeepSN: A Sheaf Neural Framework for Influence Maximization
- 引入层化神经扩散模型,更精准捕捉影响传播的复杂模式
- 新优化方法考虑节点间重叠影响,显著缩小搜索空间
- 在真实与合成数据集上验证了框架的高效性与优越性
影响力最大化是数据挖掘中的关键课题,广泛应用于社交网络分析和病毒式营销。近年来,研究者越来越多地采用机器学习方法来解决该问题,通过数据驱动方式学习底层传播过程,提升了方案的泛化能力,并设计优化目标以识别最优种子节点。然而,仍存在两个根本性挑战:(1)图神经网络(GNN)被广泛用于学习传播模型,但传统形式难以捕捉影响传播的复杂动态;(2)由于组合爆炸,设计优化目标极具挑战。为应对这些挑战,我们提出一种新框架 DeepSN。该框架采用层化神经扩散机制,以数据驱动、端到端的方式学习多样的影响模式,增强了对传播特征的可区分性。同时,我们提出一种考虑顶点间重叠影响的优化技术,有效减少搜索空间,从而高效准确地识别最优种子集。我们在合成及真实世界数据集上进行了大量实验,验证了该框架的有效性。
原文摘要 · Abstract (English)
Influence maximization is key topic in data mining, with broad applications in social network analysis and viral marketing. In recent years, researchers have increasingly turned to machine learning techniques to address this problem. They have developed methods to learn the underlying diffusion processes in a data-driven manner, which enhances the generalizability of the solution, and have designed optimization objectives to identify the optimal seed set. Nonetheless, two fundamental gaps remain unsolved: (1) Graph Neural Networks (GNNs) are increasingly used to learn diffusion models, but in their traditional form, they often fail to capture the complex dynamics of influence diffusion, (2) Designing optimization objectives is challenging due to combinatorial explosion when solving this problem. To address these challenges, we propose a novel framework, DeepSN. Our framework employs sheaf neural diffusion to learn diverse influence patterns in a data-driven, end-to-end manner, providing enhanced separability in capturing diffusion characteristics. We also propose an optimization technique that accounts for overlapping influence between vertices, which helps to reduce the search space and identify the optimal seed set effectively and efficiently. Finally, we conduct extensive experiments on both synthetic and real-world datasets to demonstrate the effectiveness of our framework.
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