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Exploring network reliability by predicting link status based on simplex neural network

delete2023-09-01
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PRE
AI
R
Ru Huang *
M
Moran Feng
Z
Zijian Chen
J
Jianhua He
X
Xiaoli Chu
DOI:10.1016/j.displa.2023.102457delete
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Abstract

Abstract

En 中文
Complex networks are graph-based structures with non-trivial topological features that frequently occur in real systems. Link prediction plays an important role in various real-world networks application, such as recommendation systems, protein structure prediction, packet forwarding strategy optimization, etc. The existing link prediction approaches mainly focus on superficial heuristic features, while ignoring high-order structure information. In this paper, we propose a deep-learning based model, named Weisfeiler-Lehman Simplex Neural Network (WL-SNN), which can learn the high-order simplex information of the network. In particular, we design a third-order Laplace operator to extract the simplicial features and utilize the graph convolutional network to compensate for the possible deficiencies of the model resulting from the single channel features. Furthermore, we use the Weisfeiler-Lehman algorithm to extract closed subgraphs of the target, which significantly enhances the adaptability of the model to large-scale networks. Experimental results on six real-world networks show that our approach achieves comparable performance in the link prediction task as well as in the stability analysis of the network.
Keywords:
Complex networks
Simplicial neural networks
Link prediction
Deep learning
Network analysis

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University of Sheffield
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University of Essex
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