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Existing techniques for certifying the robustness of models for discrete data either work only for a small class of models or are general at the expense of efficiency or tightness. Moreover, they do not account for sparsity in the input…

Machine Learning · Computer Science 2023-02-28 Aleksandar Bojchevski , Johannes Gasteiger , Stephan Günnemann

Graph Neural Networks (GNNs) are increasingly important given their popularity and the diversity of applications. Yet, existing studies of their vulnerability to adversarial attacks rely on relatively small graphs. We address this gap and…

Machine Learning · Computer Science 2023-05-02 Simon Geisler , Tobias Schmidt , Hakan Şirin , Daniel Zügner , Aleksandar Bojchevski , Stephan Günnemann

Graph Neural Networks (GNNs) have demonstrated significant application potential in various fields. However, GNNs are still vulnerable to adversarial attacks. Numerous adversarial defense methods on GNNs are proposed to address the problem…

Social and Information Networks · Computer Science 2024-06-21 Tao Wu , Xinwen Cao , Chao Wang , Shaojie Qiao , Xingping Xian , Lin Yuan , Canyixing Cui , Yanbing Liu

Learning and analysis of network robustness, including controllability robustness and connectivity robustness, is critical for various networked systems against attacks. Traditionally, network robustness is determined by attack simulations,…

Machine Learning · Computer Science 2024-04-16 Yu Zhang , Jia Li , Jie Ding , Xiang Li

Neural network (NN) controllers achieve strong empirical performance on nonlinear dynamical systems, yet deploying them in safety-critical settings requires robustness to disturbances and uncertainty. We present a method for jointly…

Systems and Control · Electrical Eng. & Systems 2026-04-02 Neelay Junnarkar , Yasin Sonmez , Murat Arcak

Node classification on graphs is a significant task with a wide range of applications, including social analysis and anomaly detection. Even though graph neural networks (GNNs) have produced promising results on this task, current…

Machine Learning · Computer Science 2023-06-16 Jingyang Yuan , Xiao Luo , Yifang Qin , Yusheng Zhao , Wei Ju , Ming Zhang

In real-world applications, node features in graphs often contain noise from various sources, leading to significant performance degradation in GNNs. Although several methods have been developed to enhance robustness, they rely on the…

Machine Learning · Computer Science 2025-10-24 Yeonjun In , Kanghoon Yoon , Sukwon Yun , Kibum Kim , Sungchul Kim , Chanyoung Park

Inspired by convolutional neural networks on 1D and 2D data, graph convolutional neural networks (GCNNs) have been developed for various learning tasks on graph data, and have shown superior performance on real-world datasets. Despite their…

Machine Learning · Computer Science 2019-05-15 Saurabh Verma , Zhi-Li Zhang

Teaching Graph Neural Networks (GNNs) to accurately classify nodes under severely noisy labels is an important problem in real-world graph learning applications, but is currently underexplored. Although pairwise training methods have…

Machine Learning · Computer Science 2023-06-06 Xuefeng Du , Tian Bian , Yu Rong , Bo Han , Tongliang Liu , Tingyang Xu , Wenbing Huang , Yixuan Li , Junzhou Huang

The first provably efficient algorithm for learning graph neural networks (GNNs) with one hidden layer for node information convolution is provided in this paper. Two types of GNNs are investigated, depending on whether labels are attached…

Machine Learning · Computer Science 2020-12-08 Qunwei Li , Shaofeng Zou , Wenliang Zhong

Graph Neural Networks (GNNs) have demonstrated remarkable performance across a spectrum of graph-related tasks, however concerns persist regarding their vulnerability to adversarial perturbations. While prevailing defense strategies focus…

Machine Learning · Computer Science 2025-10-28 Sofiane Ennadir , Johannes F. Lutzeyer , Michalis Vazirgiannis , El Houcine Bergou

Neural Ordinary Differential Equations (NODEs) are a novel neural architecture, built around initial value problems with learned dynamics which are solved during inference. Thought to be inherently more robust against adversarial…

Machine Learning · Computer Science 2023-03-10 Mustafa Zeqiri , Mark Niklas Müller , Marc Fischer , Martin Vechev

Graph Neural Networks (GNNs) have demonstrated remarkable efficacy in handling graph-structured data; however, they exhibit failures after deployment, which can cause severe consequences. Hence, conducting thorough testing before deployment…

Software Engineering · Computer Science 2025-12-23 Lichen Yang , Qiang Wang , Zhonghao Yang , Daojing He , Yu Li

Despite the success of Graph Neural Networks (GNNs) on various applications, GNNs encounter significant performance degradation when the amount of supervision signals, i.e., number of labeled nodes, is limited, which is expected as GNNs are…

Machine Learning · Computer Science 2022-04-29 Junseok Lee , Yunhak Oh , Yeonjun In , Namkyeong Lee , Dongmin Hyun , Chanyoung Park

This paper presents a new look at the neural network (NN) robustness problem, from the point of view of graph theory analysis, specifically graph curvature. Graph curvature (e.g., Ricci curvature) has been used to analyze system dynamics…

Machine Learning · Computer Science 2024-12-17 Shuhang Tan , Jayson Sia , Paul Bogdan , Radoslav Ivanov

Graph neural networks (GNNs) are increasingly widely used for community detection in attributed networks. They combine structural topology with node attributes through message passing and pooling. However, their robustness or lack of…

Social and Information Networks · Computer Science 2026-05-07 Jaidev Goel , Pablo Moriano , Ramakrishnan Kannan , Yulia R. Gel

We analyze the performance of graph neural network (GNN) architectures from the perspective of random graph theory. Our approach promises to complement existing lenses on GNN analysis, such as combinatorial expressive power and worst-case…

Machine Learning · Computer Science 2023-10-12 Drake Brown , Trevor Garrity , Kaden Parker , Jason Oliphant , Stone Carson , Cole Hanson , Zachary Boyd

Convolutional and Recurrent, deep neural networks have been successful in machine learning systems for computer vision, reinforcement learning, and other allied fields. However, the robustness of such neural networks is seldom apprised,…

Neural and Evolutionary Computing · Computer Science 2018-05-01 Biswa Sengupta , Karl J. Friston

Explainable Graph Neural Network (GNN) has emerged recently to foster the trust of using GNNs. Existing GNN explainers are developed from various perspectives to enhance the explanation performance. We take the first step to study GNN…

Cryptography and Security · Computer Science 2024-06-06 Jiate Li , Meng Pang , Yun Dong , Jinyuan Jia , Binghui Wang

Graph neural networks (GNNs) are designed for semi-supervised node classification on graphs where only a subset of nodes have class labels. However, under extreme cases when very few labels are available (e.g., 1 labeled node per class),…

Machine Learning · Computer Science 2023-03-02 Ziang Zhou , Jieming Shi , Shengzhong Zhang , Zengfeng Huang , Qing Li
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