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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

One of the intensely studied concepts of network robustness is $r$-robustness, which is a network topology property quantified by an integer $r$. It is required by mean subsequence reduced (MSR) algorithms and their variants to achieve…

Systems and Control · Electrical Eng. & Systems 2022-07-26 Yuhao Yi , Yuan Wang , Xingkang He , Stacy Patterson , Karl H. Johansson

Graph neural networks (GNNs) are a popular class of machine learning models whose major advantage is their ability to incorporate a sparse and discrete dependency structure between data points. Unfortunately, GNNs can only be used when such…

Machine Learning · Computer Science 2020-06-22 Luca Franceschi , Mathias Niepert , Massimiliano Pontil , Xiao He

Adversarial examples pose a security threat to many critical systems built on neural networks (such as face recognition systems, and self-driving cars). While many methods have been proposed to build robust models, how to build certifiably…

Machine Learning · Computer Science 2023-09-06 Ruihan Zhang , Peixin Zhang , Jun Sun

Deep learning-based visual perception models lack robustness when faced with camera motion perturbations in practice. The current certification process for assessing robustness is costly and time-consuming due to the extensive number of…

Machine Learning · Computer Science 2024-03-05 Hanjiang Hu , Zuxin Liu , Linyi Li , Jiacheng Zhu , Ding Zhao

Graph convolutional networks (GCNs) are vulnerable to perturbations of the graph structure that are either random, or, adversarially designed. The perturbed links modify the graph neighborhoods, which critically affects the performance of…

Machine Learning · Computer Science 2019-10-23 Vassilis N. Ioannidis , Georgios B. Giannakis

Randomized smoothing is currently a state-of-the-art method to construct a certifiably robust classifier from neural networks against $\ell_2$-adversarial perturbations. Under the paradigm, the robustness of a classifier is aligned with the…

Machine Learning · Computer Science 2021-11-18 Jongheon Jeong , Sejun Park , Minkyu Kim , Heung-Chang Lee , Doguk Kim , Jinwoo Shin

Recent research on graph neural networks (GNNs) has explored mechanisms for capturing local uncertainty and exploiting graph hierarchies to mitigate data sparsity and leverage structural properties. However, the synergistic integration of…

Machine Learning · Computer Science 2025-05-06 Yoonhyuk Choi , Jiho Choi , Taewook Ko , Chong-Kwon Kim

Deep learning models have been shown to be vulnerable to adversarial attacks. This perception led to analyzing deep learning models not only from the perspective of their performance measures but also their robustness to certain types of…

Machine Learning · Computer Science 2021-10-13 M. Ben Amor , J. Stier , M. Granitzer

Community detection refers to finding densely connected groups of nodes in graphs. In important applications, such as cluster analysis and network modelling, the graph is sparse but outliers and heavy-tailed noise may obscure its structure.…

Signal Processing · Electrical Eng. & Systems 2020-11-19 Aylin Tastan , Michael Muma , Abdelhak M. Zoubir

Machine learning models are susceptible to a variety of attacks that can erode trust, including attacks against the privacy of training data, and adversarial examples that jeopardize model accuracy. Differential privacy and certified…

Machine Learning · Computer Science 2024-12-23 Jiapeng Wu , Atiyeh Ashari Ghomi , David Glukhov , Jesse C. Cresswell , Franziska Boenisch , Nicolas Papernot

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

Certification of neural networks is an important and challenging problem that has been attracting the attention of the machine learning community since few years. In this paper, we focus on randomized smoothing (RS) which is considered as…

Machine Learning · Computer Science 2022-09-14 Pol Labarbarie , Hatem Hajri , Marc Arnaudon

Graph Neural Networks (GNNs) are prominent in handling sparse and unstructured data efficiently and effectively. Specifically, GNNs were shown to be highly effective for node classification tasks, where labelled information is available for…

Machine Learning · Computer Science 2022-12-01 Moshe Eliasof , Eldad Haber , Eran Treister

Enhancing the generalization capability of deep neural networks to unseen domains is crucial for safety-critical applications in the real world such as autonomous driving. To address this issue, this paper proposes a novel instance…

Computer Vision and Pattern Recognition · Computer Science 2021-04-01 Sungha Choi , Sanghun Jung , Huiwon Yun , Joanne Kim , Seungryong Kim , Jaegul Choo

Graph Neural Networks (GNNs) have emerged as a prominent graph learning model in various graph-based tasks over the years. Nevertheless, due to the vulnerabilities of GNNs, it has been empirically shown that malicious attackers could easily…

Machine Learning · Computer Science 2025-12-23 Yushun Dong , Binchi Zhang , Hanghang Tong , Jundong Li

Methods to certify the robustness of neural networks in the presence of input uncertainty are vital in safety-critical settings. Most certification methods in the literature are designed for adversarial input uncertainty, but researchers…

Machine Learning · Computer Science 2023-01-26 Brendon G. Anderson , Somayeh Sojoudi

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

Certifiable robustness gives the guarantee that small perturbations around an input to a classifier will not change the prediction. There are two approaches to provide certifiable robustness to adversarial examples: a) explicitly training…

Machine Learning · Computer Science 2025-08-04 Meiyu Zhong , Ravi Tandon

Uncertainty quantification has become an important factor in understanding the data representations produced by Graph Neural Networks (GNNs). Despite their predictive capabilities being ever useful across industrial workspaces, the inherent…

Artificial Intelligence · Computer Science 2026-05-13 Tommy Woodley , Shireen Kudukkil Manchingal , Matteo Tolloso , Davide Bacciu , Fabio Cuzzolin