Abstract

At present, the graph neural network has achieved good results in the semisupervised classification of graph structure data. However, the classification effect is greatly limited in those data without graph structure, incomplete graph structure, or noise. It has no high prediction accuracy and cannot solve the problem of the missing graph structure. Therefore, in this paper, we propose a high-order graph learning attention neural network (HGLAT) for semisupervised classification. First, a graph learning module based on the improved variational graph autoencoder is proposed, which can learn and optimize graph structures for data sets without topological graph structure and data sets with missing topological structure and perform regular constraints on the generated graph structure to make the optimized graph structure more reasonable. Then, in view of the shortcomings of graph attention neural network (GAT) that cannot make full use of the graph high-order topology structure for node classification and graph structure learning, we propose a graph classification module that extends the attention mechanism to high-order neighbors, in which attention decays according to the increase of neighbor order. HGLAT performs joint optimization on the two modules of graph learning and graph classification and performs semisupervised node classification while optimizing the graph structure, which improves the classification performance. On 5 real data sets, by comparing 8 classification methods, the experiment shows that HGLAT has achieved good classification results on both a data set with graph structure and a data set without graph structure.

Highlights

  • In order to solve these limitations, in this paper, we propose a high-order graph learning attention neural network model (HGLAT) that can effectively improve classification performance. e main contributions of this model are as follows: (1) We propose the method for learning graph structure based on an improved variational graph autoencoder, which can learn and optimize graph structure for data sets without topological graph structure and data sets with missing topological structure

  • (3) We propose the high-order graph learning attention neural network, which jointly optimize graph learning and semisupervised classification to improve the performance of node classification

  • improved variational graph autoencoder (IVGAE) is based on the structure of the variational graph autoencoder (VGAE) [11], and we propose a new objective function and optimization method to learn graph structure

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Summary

Introduction

From a macro point of view, we divide them into two data types with graph structure and nongraph structure in this paper. Graph structure data refers to data that is in the form of a network. E network is a way of representing relationship information between entities. Many real-world data sets can be represented by networks. The citation network that reflects the citation relationship between scientific papers [1], the social network that facilitates the association and social activities between users [2], the protein interaction network that involves complex biological processes [3], etc. Nongraph structure data refers to data that does not have a network form, such as image data in computer vision or economic data of a city

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