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Machine learning algorithms are known to be susceptible to data poisoning attacks, where an adversary manipulates the training data to degrade performance of the resulting classifier. In this work, we present a unifying view of randomized…

Machine Learning · Computer Science 2021-02-24 Elan Rosenfeld , Ezra Winston , Pradeep Ravikumar , J. Zico Kolter

Graph neural networks (GNNs) have excelled in various graph learning tasks, particularly node classification. However, their performance is often hampered by noisy measurements in real-world graphs, which can corrupt critical patterns in…

Machine Learning · Computer Science 2025-03-14 Shuyi Chen , Kaize Ding , Shixiang Zhu

Since neural classifiers are known to be sensitive to adversarial perturbations that alter their accuracy, \textit{certification methods} have been developed to provide provable guarantees on the insensitivity of their predictions to such…

Machine Learning · Computer Science 2025-02-26 Cornelius Emde , Francesco Pinto , Thomas Lukasiewicz , Philip H. S. Torr , Adel Bibi

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

Certified robustness circumvents the fragility of defences against adversarial attacks, by endowing model predictions with guarantees of class invariance for attacks up to a calculated size. While there is value in these certifications, the…

Machine Learning · Computer Science 2023-09-21 Andrew C. Cullen , Paul Montague , Shijie Liu , Sarah M. Erfani , Benjamin I. P. Rubinstein

Graph Neural Networks (GNNs) have emerged as powerful tools for predicting outcomes in graph-structured data. However, a notable limitation of GNNs is their inability to provide robust uncertainty estimates, which undermines their…

Machine Learning · Computer Science 2024-10-10 S. Akansha

Recent studies have shown that Graph Convolutional Networks (GCNs) are vulnerable to adversarial attacks on the graph structure. Although multiple works have been proposed to improve their robustness against such structural adversarial…

Machine Learning · Computer Science 2021-09-14 Liang Chen , Jintang Li , Qibiao Peng , Yang Liu , Zibin Zheng , Carl Yang

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

Training deep neural network classifiers that are certifiably robust against adversarial attacks is critical to ensuring the security and reliability of AI-controlled systems. Although numerous state-of-the-art certified training methods…

Machine Learning · Computer Science 2022-10-27 Pratik Vaishnavi , Kevin Eykholt , Amir Rahmati

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 or worst-case inputs, but researchers…

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

A networked system can be made resilient against adversaries and attacks if the underlying network graph is structurally robust. For instance, to achieve distributed consensus in the presence of adversaries, the underlying network graph…

Systems and Control · Electrical Eng. & Systems 2019-07-26 Faiq Ghawash , Waseem Abbas

Randomized smoothing is the state-of-the-art approach to construct image classifiers that are provably robust against additive adversarial perturbations of bounded magnitude. However, it is more complicated to construct reasonable…

Computer Vision and Pattern Recognition · Computer Science 2024-08-12 Dmitrii Korzh , Mikhail Pautov , Olga Tsymboi , Ivan Oseledets

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

We bridge two research directions on graph neural networks (GNNs), by formalizing the relation between heterophily of node labels (i.e., connected nodes tend to have dissimilar labels) and the robustness of GNNs to adversarial attacks. Our…

Machine Learning · Computer Science 2022-07-26 Jiong Zhu , Junchen Jin , Donald Loveland , Michael T. Schaub , Danai Koutra

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 Neural Networks (GNNs) have demonstrated state-of-the-art performance in various graph representation learning tasks. Recently, studies revealed their vulnerability to adversarial attacks. In this work, we theoretically define the…

Machine Learning · Computer Science 2024-04-30 Yassine Abbahaddou , Sofiane Ennadir , Johannes F. Lutzeyer , Michalis Vazirgiannis , Henrik Boström

In safety-critical machine learning applications, it is crucial to defend models against adversarial attacks -- small modifications of the input that change the predictions. Besides rigorously studied $\ell_p$-bounded additive…

Machine Learning · Computer Science 2022-08-16 Mikhail Pautov , Nurislam Tursynbek , Marina Munkhoeva , Nikita Muravev , Aleksandr Petiushko , Ivan Oseledets

We study the problem of certifying the robustness of Bayesian neural networks (BNNs) to adversarial input perturbations. Given a compact set of input points $T \subseteq \mathbb{R}^m$ and a set of output points $S \subseteq \mathbb{R}^n$,…

Machine Learning · Computer Science 2023-06-26 Matthew Wicker , Andrea Patane , Luca Laurenti , Marta Kwiatkowska

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

In recent years, plentiful evidence illustrates that Graph Convolutional Networks (GCNs) achieve extraordinary accomplishments on the node classification task. However, GCNs may be vulnerable to adversarial attacks on label-scarce dynamic…

Machine Learning · Computer Science 2022-03-09 Jun Zhuang , Mohammad Al Hasan
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