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This paper studies reduced-order modeling of dynamic networks with strongly connected topology. Given a graph clustering of an original complex network, we construct a quotient graph with less number of vertices, where the edge weights are…

Optimization and Control · Mathematics 2020-03-10 Xiaodong Cheng , Lanlin Yu , Dingchao Ren , Jacquelien M. A. Scherpen

Graph Neural Networks (GNNs) have demonstrated commendable performance for graph-structured data. Yet, GNNs are often vulnerable to adversarial structural attacks as embedding generation relies on graph topology. Existing efforts are…

Machine Learning · Computer Science 2024-09-04 Xing Ai , Guanyu Zhu , Yulin Zhu , Yu Zheng , Gaolei Li , Jianhua Li , Kai Zhou

Graph embedding is a transformation of nodes of a graph into a set of vectors. A~good embedding should capture the graph topology, node-to-node relationship, and other relevant information about the graph, its subgraphs, and nodes. If these…

Social and Information Networks · Computer Science 2022-06-22 Arash Dehghan-Kooshkghazi , Bogumił Kamiński , Łukasz Kraiński , Paweł Prałat , François Théberge

Graph neural networks (GNNs) face significant challenges with class imbalance, leading to biased inference results. To address this issue in heterogeneous graphs, we propose a novel framework that combines Graph Neural Network (GNN) and…

Machine Learning · Computer Science 2024-11-26 Hung-Chun Hsu , Bo-Jun Wu , Ming-Yi Hong , Che Lin , Chih-Yu Wang

Learning efficient graph representation is the key to favorably addressing downstream tasks on graphs, such as node or graph property prediction. Given the non-Euclidean structural property of graphs, preserving the original graph data's…

Machine Learning · Computer Science 2022-05-31 Bingxin Zhou , Xuebin Zheng , Yu Guang Wang , Ming Li , Junbin Gao

Graph Neural Networks (GNNs) are powerful models that can manage complex data sources and their interconnection links. One of GNNs' main drawbacks is their lack of interpretability, which limits their application in sensitive fields. In…

Machine Learning · Computer Science 2026-03-24 Salvatore Calderaro , Domenico Amato , Giosuè Lo Bosco , Riccardo Rizzo , Filippo Vella

Graph neural network (GNN) has captured wide attention due to its capability of graph representation learning for graph-structured data. However, the distributed data silos limit the performance of GNN. Vertical federated learning (VFL), an…

Machine Learning · Computer Science 2024-11-06 Jinyin Chen , Wenbo Mu , Luxin Zhang , Guohan Huang , Haibin Zheng , Yao Cheng

As modern wireless communication networks grow increasingly complex, network outages driven by the inconsistency between dynamic topologies and protocol configurations have become a critical concern. To solve this issue, we mathematically…

Networking and Internet Architecture · Computer Science 2026-05-20 Xin Hao , Chenhan Zhang , Massimo Piccardi , Vijaya Durga Chemalamarri , Qiwen Jiang , Wei Ni , Raymond Owen

Graph convolution network (GCN) attracts intensive research interest with broad applications. While existing work mainly focused on designing novel GCN architectures for better performance, few of them studied a practical yet challenging…

Machine Learning · Computer Science 2020-10-16 Xiaoming Liu , Qirui Li , Chao Shen , Xi Peng , Yadong Zhou , Xiaohong Guan

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

Despite the tremendous success of graph-based learning systems in handling structural data, it has been widely investigated that they are fragile to adversarial attacks on homophilic graph data, where adversaries maliciously modify the…

Machine Learning · Computer Science 2025-09-05 Yulin Zhu , Yuni Lai , Xing Ai , Wai Lun LO , Gaolei Li , Jianhua Li , Di Tang , Xingxing Zhang , Mengpei Yang , Kai Zhou

Graph Neural Networks (GNNs) have emerged as the dominant approach for machine learning on graph-structured data. However, concerns have arisen regarding the vulnerability of GNNs to small adversarial perturbations. Existing defense methods…

Machine Learning · Computer Science 2024-02-22 Sofiane Ennadir , Yassine Abbahaddou , Johannes F. Lutzeyer , Michalis Vazirgiannis , Henrik Boström

Spectral graph convolutional neural networks (GCNNs) have been producing encouraging results in graph classification tasks. However, most spectral GCNNs utilize fixed graphs when aggregating node features, while omitting edge feature…

Computer Vision and Pattern Recognition · Computer Science 2022-10-06 Yang Yi , Xuequan Lu , Shang Gao , Antonio Robles-Kelly , Yuejie Zhang

In this paper, we study the \textit{graph condensation} problem by compressing the large, complex graph into a concise, synthetic representation that preserves the most essential and discriminative information of structure and features. We…

Machine Learning · Computer Science 2023-11-28 Xinglin Li , Kun Wang , Hanhui Deng , Yuxuan Liang , Di Wu

Graph Neural Networks (GNNs) have demonstrated significant success in learning from graph-structured data but often struggle on heterophilous graphs, where connected nodes differ in features or class labels. This limitation arises from…

Machine Learning · Computer Science 2025-09-30 Zhongtian Sun , Anoushka Harit , Alexandra Cristea , Christl A. Donnelly , Pietro Liò

Graph, as an important data representation, is ubiquitous in many real world applications ranging from social network analysis to biology. How to correctly and effectively learn and extract information from graph is essential for a large…

Machine Learning · Computer Science 2020-10-27 Xiaodong Jiang , Ronghang Zhu , Pengsheng Ji , Sheng Li

Node classification is one of the hottest tasks in graph analysis. Though existing studies have explored various node representations in directed and undirected graphs, they have overlooked the distinctions of their capabilities to capture…

Machine Learning · Computer Science 2023-12-07 Seiji Maekawa , Yuya Sasaki , Makoto Onizuka

Graph classification is a pivotal challenge in machine learning, especially within the realm of graph-based data, given its importance in numerous real-world applications such as social network analysis, recommendation systems, and…

Machine Learning · Computer Science 2024-07-03 Bowen Zhang , Zhichao Huang , Genan Dai , Guangning Xu , Xiaomao Fan , Hu Huang

Graph neural networks (GNNs) are widely used in many applications. However, their robustness against adversarial attacks is criticized. Prior studies show that using unnoticeable modifications on graph topology or nodal features can…

Machine Learning · Computer Science 2020-02-27 Xianfeng Tang , Yandong Li , Yiwei Sun , Huaxiu Yao , Prasenjit Mitra , Suhang Wang

Graph convolutional networks (GCNs) are powerful tools for graph-structured data. However, they have been recently shown to be vulnerable to topological attacks. To enhance adversarial robustness, we go beyond spectral graph theory to…

Machine Learning · Computer Science 2021-09-22 Ming Jin , Heng Chang , Wenwu Zhu , Somayeh Sojoudi