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Graph Convolutional Networks (GCNs) have shown excellent performance in graph-structured tasks such as node classification and graph classification. However, recent research has shown that GCNs are vulnerable to a new type of threat called…

Machine Learning · Computer Science 2025-03-20 Jiazhu Dai , Haoyu Sun

Spectral Graph Neural Networks (GNNs) have achieved tremendous success in graph machine learning, with polynomial filters applied for graph convolutions, where all nodes share the identical filter weights to mine their local contexts.…

Machine Learning · Computer Science 2024-05-24 Jingwei Guo , Kaizhu Huang , Xinping Yi , Rui Zhang

While deep neural networks have achieved great success in graph analysis, recent work has shown that they are vulnerable to adversarial attacks. Compared with adversarial attacks on image classification, performing adversarial attacks on…

Machine Learning · Computer Science 2022-07-26 Zhengyi Wang , Zhongkai Hao , Ziqiao Wang , Hang Su , Jun Zhu

To deepen our understanding of graph neural networks, we investigate the representation power of Graph Convolutional Networks (GCN) through the looking glass of graph moments, a key property of graph topology encoding path of various…

Machine Learning · Computer Science 2019-11-04 Nima Dehmamy , Albert-László Barabási , Rose Yu

Recently, neural network based approaches have achieved significant improvement for solving large, complex, graph-structured problems. However, their bottlenecks still need to be addressed, and the advantages of multi-scale information and…

Machine Learning · Computer Science 2019-09-10 Sitao Luan , Mingde Zhao , Xiao-Wen Chang , Doina Precup

In this work, we propose the first backdoor attack to graph neural networks (GNN). Specifically, we propose a \emph{subgraph based backdoor attack} to GNN for graph classification. In our backdoor attack, a GNN classifier predicts an…

Cryptography and Security · Computer Science 2021-12-20 Zaixi Zhang , Jinyuan Jia , Binghui Wang , Neil Zhenqiang Gong

Many improvements on GNNs can be deemed as operations on the spectrum of the underlying graph matrix, which motivates us to directly study the characteristics of the spectrum and their effects on GNN performance. By generalizing most…

Machine Learning · Computer Science 2022-06-22 Mingqi Yang , Yanming Shen , Rui Li , Heng Qi , Qiang Zhang , Baocai Yin

Spectral graph convolutional networks are generalizations of standard convolutional networks for graph-structured data using the Laplacian operator. A common misconception is the instability of spectral filters, i.e. the impossibility to…

Machine Learning · Computer Science 2020-12-21 Axel Nilsson , Xavier Bresson

Complex spatial dependencies in transportation networks make traffic prediction extremely challenging. Much existing work is devoted to learning dynamic graph structures among sensors, and the strategy of mining spatial dependencies from…

Machine Learning · Computer Science 2023-12-20 Yujie Li , Zezhi Shao , Yongjun Xu , Qiang Qiu , Zhaogang Cao , Fei Wang

Graph neural networks (GNNs) have significantly improved the representation power for graph-structured data. Despite of the recent success of GNNs, the graph convolution in most GNNs have two limitations. Since the graph convolution is…

Machine Learning · Computer Science 2021-12-30 Jinyoung Park , Sungdong Yoo , Jihwan Park , Hyunwoo J. Kim

Graph neural networks (GNNs) achieve remarkable performance for tasks on graph data. However, recent works show they are extremely vulnerable to adversarial structural perturbations, making their outcomes unreliable. In this paper, we…

Machine Learning · Computer Science 2020-06-17 Ao Zhang , Jinwen Ma

As Graph Neural Networks (GNNs) become increasingly popular for learning from large-scale graph data across various domains, their susceptibility to adversarial attacks when using graph reduction techniques for scalability remains…

Machine Learning · Computer Science 2025-07-08 Kerui Wu , Ka-Ho Chow , Wenqi Wei , Lei Yu

Recent studies have shown that graph neural networks (GNNs) are vulnerable against perturbations due to lack of robustness and can therefore be easily fooled. Currently, most works on attacking GNNs are mainly using gradient information to…

Machine Learning · Computer Science 2021-05-07 Jintang Li , Tao Xie , Liang Chen , Fenfang Xie , Xiangnan He , Zibin Zheng

One intriguing property of deep neural networks (DNNs) is their inherent vulnerability to backdoor attacks -- a trojan model responds to trigger-embedded inputs in a highly predictable manner while functioning normally otherwise. Despite…

Machine Learning · Computer Science 2021-08-11 Zhaohan Xi , Ren Pang , Shouling Ji , Ting Wang

Graph Comparative Learning (GCL) is a self-supervised method that combines the advantages of Graph Convolutional Networks (GCNs) and comparative learning, making it promising for learning node representations. However, the GCN encoders used…

Machine Learning · Computer Science 2023-12-12 Ruyue Liu , Rong Yin , Yong Liu , Weiping Wang

Recent studies have revealed the vulnerability of graph convolutional networks (GCNs) to edge-perturbing attacks, such as maliciously inserting or deleting graph edges. However, a theoretical proof of such vulnerability remains a big…

Machine Learning · Computer Science 2021-06-18 Ao Liu , Beibei Li , Tao Li , Pan Zhou , Rui wang

Graph Neural Networks (GNNs) have emerged as a dominant paradigm for learning on graph-structured data, thanks to their ability to jointly exploit node features and relational information encoded in the graph topology. This joint modeling,…

Machine Learning · Computer Science 2025-12-30 Yongyu Wang

Suffering from the multi-view data diversity and complexity for semi-supervised classification, most of existing graph convolutional networks focus on the networks architecture construction or the salient graph structure preservation, and…

Machine Learning · Computer Science 2020-06-01 Guangfeng Lin , Jing Wang , Kaiyang Liao , Fan Zhao , Wanjun Chen

Graph neural networks (GNNs) are designed to process data associated with graphs. They are finding an increasing range of applications; however, as with other modern machine learning techniques, their theoretical understanding is limited.…

Disordered Systems and Neural Networks · Physics 2026-02-23 O. Duranthon , L. Zdeborová

Graph Convolutional Networks (GCNs) gained traction for graph representation learning, with recent attention on improving performance on heterophilic graphs for various real-world applications. The localized feature aggregation in a typical…

Machine Learning · Computer Science 2025-07-30 Garv Kaushik