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Graph Neural Networks (GNNs) have shown remarkable capabilities in learning from graph-structured data with various applications such as social analysis and bioinformatics. However, the presence of label noise in real scenarios poses a…

Machine Learning · Computer Science 2026-01-27 Wei Ju , Wei Zhang , Siyu Yi , Zhengyang Mao , Yifan Wang , Jingyang Yuan , Zhiping Xiao , Ziyue Qiao , Ming Zhang

Perturbations targeting the graph structure have proven to be extremely effective in reducing the performance of Graph Neural Networks (GNNs), and traditional defenses such as adversarial training do not seem to be able to improve…

Machine Learning · Computer Science 2020-10-30 Simon Geisler , Daniel Zügner , Stephan Günnemann

We consider the problem of learning a graph from a finite set of noisy graph signal observations, the goal of which is to find a smooth representation of the graph signal. Such a problem is motivated by the desire to infer relational…

Machine Learning · Computer Science 2023-02-08 Xiaolu Wang , Yuen-Man Pun , Anthony Man-Cho So

In this paper, we are interested in learning the underlying graph structure behind training data. Solving this basic problem is essential to carry out any graph signal processing or machine learning task. To realize this, we assume that the…

Machine Learning · Computer Science 2018-05-08 Sundeep Prabhakar Chepuri , Sijia Liu , Geert Leus , Alfred O. Hero

Graph convolutional neural networks (GCNNs) have emerged as powerful tools for analyzing graph-structured data, achieving remarkable success across diverse applications. However, the theoretical understanding of the stability of these…

Machine Learning · Computer Science 2025-10-28 Ning Zhang , Henry Kenlay , Li Zhang , Mihai Cucuringu , Xiaowen Dong

Graph Neural Networks (GNNs) have achieved promising results in tasks such as node classification and graph classification. However, recent studies reveal that GNNs are vulnerable to backdoor attacks, posing a significant threat to their…

Machine Learning · Computer Science 2025-03-13 Zhiwei Zhang , Minhua Lin , Junjie Xu , Zongyu Wu , Enyan Dai , Suhang Wang

Existing studies show that node representations generated by graph neural networks (GNNs) are vulnerable to adversarial attacks, such as unnoticeable perturbations of adjacent matrix and node features. Thus, it is requisite to learn robust…

Machine Learning · Computer Science 2022-04-29 Jiayan Guo , Shangyang Li , Yue Zhao , Yan Zhang

Network-topology inference from (vertex) signal observations is a prominent problem across data-science and engineering disciplines. Most existing schemes assume that observations from all nodes are available, but in many practical…

Methodology · Statistics 2021-11-11 Andrei Buciulea , Samuel Rey , Antonio G. Marques

This paper studies the vulnerability of Graph Neural Networks (GNNs) to adversarial attacks on node features and graph structure. Various methods have implemented adversarial training to augment graph data, aiming to bolster the robustness…

Machine Learning · Computer Science 2025-09-03 Jinluan Yang , Ruihao Zhang , Zhengyu Chen , Fei Wu , Kun Kuang

Learning graphs from data automatically has shown encouraging performance on clustering and semisupervised learning tasks. However, real data are often corrupted, which may cause the learned graph to be inexact or unreliable. In this paper,…

Computer Vision and Pattern Recognition · Computer Science 2018-12-18 Zhao Kang , Haiqi Pan , Steven C. H. Hoi , Zenglin Xu

Graph structure learning aims to learn connectivity in a graph from data. It is particularly important for many computer vision related tasks since no explicit graph structure is available for images for most cases. A natural way to…

Computer Vision and Pattern Recognition · Computer Science 2022-12-26 Yaohua Wang , FangYi Zhang , Ming Lin , Senzhang Wang , Xiuyu Sun , Rong Jin

Deep neural networks, while generalize well, are known to be sensitive to small adversarial perturbations. This phenomenon poses severe security threat and calls for in-depth investigation of the robustness of deep learning models. With the…

Machine Learning · Computer Science 2021-06-24 Xiao Zang , Yi Xie , Jie Chen , Bo Yuan

Graph Neural Network (GNN) is an emerging technique for graph-based learning tasks such as node classification. In this work, we reveal the vulnerability of GNN to the imbalance of node labels. Traditional solutions for imbalanced…

Machine Learning · Computer Science 2022-02-08 Xiaohe Li , Lijie Wen , Yawen Deng , Fuli Feng , Xuming Hu , Lei Wang , Zide Fan

Graph neural networks based on message-passing mechanisms have achieved advanced results in graph classification tasks. However, their generalization performance degrades when noisy labels are present in the training data. Most existing…

Machine Learning · Computer Science 2024-06-12 De Li , Xianxian Li , Zeming Gan , Qiyu Li , Bin Qu , Jinyan Wang

Graph neural networks (GNNs) are the predominant architecture for learning over graphs. As with any machine learning model, an important issue is the detection of attacks, where an adversary can change the output with a small perturbation…

Machine Learning · Computer Science 2026-03-10 Chia-Hsuan Lu , Tony Tan , Michael Benedikt

The graph identification problem consists of discovering the interactions among nodes in a network given their state/feature trajectories. This problem is challenging because the behavior of a node is coupled to all the other nodes by the…

Systems and Control · Electrical Eng. & Systems 2023-10-24 Eduardo Sebastian , Thai Duong , Nikolay Atanasov , Eduardo Montijano , Carlos Sagues

Learning low-dimensional representations on graphs has proved to be effective in various downstream tasks. However, noises prevail in real-world networks, which compromise networks to a large extent in that edges in networks propagate…

Social and Information Networks · Computer Science 2020-12-07 Junshan Wang , Ziyao Li , Qingqing Long , Weiyu Zhang , Guojie Song , Chuan Shi

Network data can be conveniently modeled as a graph signal, where data values are assigned to the nodes of a graph describing the underlying network topology. Successful learning from network data requires methods that effectively exploit…

Signal Processing · Electrical Eng. & Systems 2020-10-22 Samuel Pfrommer , Fernando Gama , Alejandro Ribeiro

Graph Neural Networks (GNNs) often struggle with noisy edges. We propose Latent Space Constrained Graph Neural Networks (LSC-GNN) to incorporate external "clean" links and guide embeddings of a noisy target graph. We train two encoders--one…

Machine Learning · Computer Science 2025-07-09 Chunhui Gu , Mohammad Sadegh Nasr , James P. Long , Kim-Anh Do , Ehsan Irajizad

Graph learning from data represents a canonical problem that has received substantial attention in the literature. However, insufficient work has been done in incorporating prior structural knowledge onto the learning of underlying…

Machine Learning · Statistics 2019-04-23 Sandeep Kumar , Jiaxi Ying , José Vinícius de M. Cardoso , Daniel Palomar