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Spectral graph convolutional neural networks (CNNs) require approximation to the convolution to alleviate the computational complexity, resulting in performance loss. This paper proposes the topology adaptive graph convolutional network…

Machine Learning · Computer Science 2018-02-13 Jian Du , Shanghang Zhang , Guanhang Wu , Jose M. F. Moura , Soummya Kar

Recent studies have shown that attackers can catastrophically reduce the performance of GNNs by maliciously modifying the graph structure or node features on the graph. Adversarial training, which has been shown to be one of the most…

Machine Learning · Computer Science 2023-12-11 Xiaobing Pei , Haoran Yang , Gang Shen

Recent studies have revealed that GNNs are vulnerable to adversarial attacks. To defend against such attacks, robust graph structure refinement (GSR) methods aim at minimizing the effect of adversarial edges based on node features, graph…

Machine Learning · Computer Science 2024-03-05 Yeonjun In , Kanghoon Yoon , Kibum Kim , Kijung Shin , Chanyoung Park

Graph convolutional networks (GCN) have recently demonstrated their potential in analyzing non-grid structure data that can be represented as graphs. The core idea is to encode the local topology of a graph, via convolutions, into the…

Machine Learning · Computer Science 2021-01-12 Yiding Yang , Xinchao Wang , Mingli Song , Junsong Yuan , Dacheng Tao

In this work, we study the problem of stability of Graph Convolutional Neural Networks (GCNs) under random small perturbations in the underlying graph topology, i.e. under a limited number of insertions or deletions of edges. We derive a…

Machine Learning · Computer Science 2023-12-21 Lucia Testa , Claudio Battiloro , Stefania Sardellitti , Sergio Barbarossa

Graph Convolutional Networks (GCNs) have achieved impressive performance in a wide variety of areas, attracting considerable attention. The core step of GCNs is the information-passing framework that considers all information from neighbors…

Machine Learning · Computer Science 2022-02-17 Feng Xia , Lei Wang , Tao Tang , Xin Chen , Xiangjie Kong , Giles Oatley , Irwin King

Graph convolutional neural networks (GCNN) have been successfully applied to many different graph based learning tasks including node and graph classification, matrix completion, and learning of node embeddings. Despite their impressive…

Machine Learning · Computer Science 2019-10-29 Soumyasundar Pal , Florence Regol , Mark Coates

Graph convolutional networks (GCNs) have emerged as powerful models for graph learning tasks, exhibiting promising performance in various domains. While their empirical success is evident, there is a growing need to understand their…

Machine Learning · Computer Science 2025-09-30 Guangrui Yang , Ming Li , Han Feng , Xiaosheng Zhuang

The effectiveness of Graph Convolutional Networks (GCNs) has been demonstrated in a wide range of graph-based machine learning tasks. However, the update of parameters in GCNs is only from labeled nodes, lacking the utilization of unlabeled…

Machine Learning · Computer Science 2020-02-21 Ke Sun , Zhouchen Lin , Hantao Guo , Zhanxing Zhu

Vertex classification -- the problem of identifying the class labels of nodes in a graph -- has applicability in a wide variety of domains. Examples include classifying subject areas of papers in citation networks or roles of machines in a…

Social and Information Networks · Computer Science 2023-08-11 Benjamin A. Miller , Kevin Chan , Tina Eliassi-Rad

Graph Convolutional Networks (GCN) is a pioneering model for graph-based semi-supervised learning. However, GCN does not perform well on sparsely-labeled graphs. Its two-layer version cannot effectively propagate the label information to…

Machine Learning · Computer Science 2025-02-24 Wei Ye , Zexi Huang , Yunqi Hong , Ambuj Singh

A graph neural network (GNN) is a type of neural network that is specifically designed to process graph-structured data. Typically, GNNs can be implemented in two settings, including the transductive setting and the inductive setting. In…

Cryptography and Security · Computer Science 2024-05-10 Yixin Wu , Xinlei He , Pascal Berrang , Mathias Humbert , Michael Backes , Neil Zhenqiang Gong , Yang Zhang

Message-passing neural networks (MPNNs) have been successfully applied to representation learning on graphs in a variety of real-world applications. However, two fundamental weaknesses of MPNNs' aggregators limit their ability to represent…

Machine Learning · Computer Science 2020-02-17 Hongbin Pei , Bingzhe Wei , Kevin Chen-Chuan Chang , Yu Lei , Bo Yang

Graph Neural Networks (GNNs) have shown their great ability in modeling graph structured data. However, real-world graphs usually contain structure noises and have limited labeled nodes. The performance of GNNs would drop significantly when…

Machine Learning · Computer Science 2022-07-26 Enyan Dai , Wei Jin , Hui Liu , Suhang Wang

Attention mechanisms have become a cornerstone in modern neural networks, driving breakthroughs across diverse domains. However, their application to graph structured data, where capturing topological connections is essential, remains…

Machine Learning · Computer Science 2025-09-19 Xuanting Xie , Bingheng Li , Erlin Pan , Rui Hou , Wenyu Chen , Zhao Kang

Graph neural networks (GNNs) have achieved state-of-the-art performance in many graph learning tasks. However, recent studies show that GNNs are vulnerable to both test-time evasion and training-time poisoning attacks that perturb the graph…

Cryptography and Security · Computer Science 2023-03-14 Binghui Wang , Meng Pang , Yun Dong

Recent studies have shown that graph neural networks (GNNs) are vulnerable to adversarial attacks, posing significant challenges to their deployment in safety-critical scenarios. This vulnerability has spurred a growing focus on designing…

Machine Learning · Computer Science 2025-05-27 Tao Wu , Canyixing Cui , Xingping Xian , Shaojie Qiao , Chao Wang , Lin Yuan , Shui Yu

Recent years have witnessed the emergence and development of graph neural networks (GNNs), which have been shown as a powerful approach for graph representation learning in many tasks, such as node classification and graph classification.…

Machine Learning · Computer Science 2020-05-26 Haoteng Tang , Guixiang Ma , Yurong Chen , Lei Guo , Wei Wang , Bo Zeng , Liang Zhan

Explaining Graph Neural Network (XGNN) has gained growing attention to facilitate the trust of using GNNs, which is the mainstream method to learn graph data. Despite their growing attention, Existing XGNNs focus on improving the…

Cryptography and Security · Computer Science 2025-02-07 Jiate Li , Meng Pang , Yun Dong , Jinyuan Jia , Binghui Wang

Graph convolutional network (GCN) is generalization of convolutional neural network (CNN) to work with arbitrarily structured graphs. A binary adjacency matrix is commonly used in training a GCN. Recently, the attention mechanism allows the…

Machine Learning · Statistics 2022-03-03 Chao Shang , Qinqing Liu , Ko-Shin Chen , Jiangwen Sun , Jin Lu , Jinfeng Yi , Jinbo Bi