Multiplex Network Embedding Model with High-Order Node Dependence

Multiplex networks have been widely used in information diffusion, social networks, transport, and biology multiomics. They contain multiple types of relations between nodes, in which each type of the relation is intuitively modeled as one layer. In the real world, the formation of a type of relatio...

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Main Authors: Nianwen Ning, Qiuyue Li, Kai Zhao, Bin Wu
Format: Article
Language:English
Published: Wiley 2021-01-01
Series:Complexity
Online Access:http://dx.doi.org/10.1155/2021/6644111
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author Nianwen Ning
Qiuyue Li
Kai Zhao
Bin Wu
author_facet Nianwen Ning
Qiuyue Li
Kai Zhao
Bin Wu
author_sort Nianwen Ning
collection DOAJ
description Multiplex networks have been widely used in information diffusion, social networks, transport, and biology multiomics. They contain multiple types of relations between nodes, in which each type of the relation is intuitively modeled as one layer. In the real world, the formation of a type of relations may only depend on some attribute elements of nodes. Most existing multiplex network embedding methods only focus on intralayer and interlayer structural information while neglecting this dependence between node attributes and the topology of each layer. Attributes that are irrelevant to the network structure could affect the embedding quality of multiplex networks. To address this problem, we propose a novel multiplex network embedding model with high-order node dependence, called HMNE. HMNE simultaneously considers three properties: (1) intralayer high-order proximity of nodes, (2) interlayer dependence in respect of nodes, and (3) the dependence between node attributes and the topology of each layer. In the intralayer embedding phase, we present a symmetric graph convolution-deconvolution model to embed high-order proximity information as the intralayer embedding of nodes in an unsupervised manner. In the interlayer embedding phase, we estimate the local structural complementarity of nodes as an embedding constraint of interlayer dependence. Through these two phases, we can achieve the disentangled representation of node attributes, which can be treated as fined-grained semantic dependence on the topology of each layer. In the restructure phase of node attributes, we perform a linear fusion of attribute disentangled representations for each node as a reconstruction of original attributes. Extensive experiments have been conducted on six real-world networks. The experimental results demonstrate that the proposed model outperforms the state-of-the-art methods in cross-domain link prediction and shared community detection tasks.
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spelling doaj-art-182998b3d5fc4e4da7d04adcd2c5a9312025-02-03T01:28:43ZengWileyComplexity1076-27871099-05262021-01-01202110.1155/2021/66441116644111Multiplex Network Embedding Model with High-Order Node DependenceNianwen Ning0Qiuyue Li1Kai Zhao2Bin Wu3Beijing Key Laboratory of Intelligent Telecommunications Software and Multimedia, Beijing University of Posts and Telecommunications, No. 10 Xitucheng Road, Beijing 100876, ChinaBeijing Key Laboratory of Intelligent Telecommunications Software and Multimedia, Beijing University of Posts and Telecommunications, No. 10 Xitucheng Road, Beijing 100876, ChinaBeijing Key Laboratory of Intelligent Telecommunications Software and Multimedia, Beijing University of Posts and Telecommunications, No. 10 Xitucheng Road, Beijing 100876, ChinaBeijing Key Laboratory of Intelligent Telecommunications Software and Multimedia, Beijing University of Posts and Telecommunications, No. 10 Xitucheng Road, Beijing 100876, ChinaMultiplex networks have been widely used in information diffusion, social networks, transport, and biology multiomics. They contain multiple types of relations between nodes, in which each type of the relation is intuitively modeled as one layer. In the real world, the formation of a type of relations may only depend on some attribute elements of nodes. Most existing multiplex network embedding methods only focus on intralayer and interlayer structural information while neglecting this dependence between node attributes and the topology of each layer. Attributes that are irrelevant to the network structure could affect the embedding quality of multiplex networks. To address this problem, we propose a novel multiplex network embedding model with high-order node dependence, called HMNE. HMNE simultaneously considers three properties: (1) intralayer high-order proximity of nodes, (2) interlayer dependence in respect of nodes, and (3) the dependence between node attributes and the topology of each layer. In the intralayer embedding phase, we present a symmetric graph convolution-deconvolution model to embed high-order proximity information as the intralayer embedding of nodes in an unsupervised manner. In the interlayer embedding phase, we estimate the local structural complementarity of nodes as an embedding constraint of interlayer dependence. Through these two phases, we can achieve the disentangled representation of node attributes, which can be treated as fined-grained semantic dependence on the topology of each layer. In the restructure phase of node attributes, we perform a linear fusion of attribute disentangled representations for each node as a reconstruction of original attributes. Extensive experiments have been conducted on six real-world networks. The experimental results demonstrate that the proposed model outperforms the state-of-the-art methods in cross-domain link prediction and shared community detection tasks.http://dx.doi.org/10.1155/2021/6644111
spellingShingle Nianwen Ning
Qiuyue Li
Kai Zhao
Bin Wu
Multiplex Network Embedding Model with High-Order Node Dependence
Complexity
title Multiplex Network Embedding Model with High-Order Node Dependence
title_full Multiplex Network Embedding Model with High-Order Node Dependence
title_fullStr Multiplex Network Embedding Model with High-Order Node Dependence
title_full_unstemmed Multiplex Network Embedding Model with High-Order Node Dependence
title_short Multiplex Network Embedding Model with High-Order Node Dependence
title_sort multiplex network embedding model with high order node dependence
url http://dx.doi.org/10.1155/2021/6644111
work_keys_str_mv AT nianwenning multiplexnetworkembeddingmodelwithhighordernodedependence
AT qiuyueli multiplexnetworkembeddingmodelwithhighordernodedependence
AT kaizhao multiplexnetworkembeddingmodelwithhighordernodedependence
AT binwu multiplexnetworkembeddingmodelwithhighordernodedependence