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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

Certified defense using randomized smoothing is a popular technique to provide robustness guarantees for deep neural networks against l2 adversarial attacks. Existing works use this technique to provably secure a pretrained non-robust model…

Machine Learning · Computer Science 2022-10-18 Gaurav Kumar Nayak , Ruchit Rawal , Anirban Chakraborty

Graph Neural Networks (GNNs) have demonstrated exceptional efficacy in relational learning tasks, including node classification and link prediction. However, their application raises significant fairness concerns, as GNNs can perpetuate and…

Machine Learning · Computer Science 2025-12-04 Mahdi Tavassoli Kejani , Fadi Dornaika , Jean-Michel Loubes

Graph convolutional neural networks (GCNs) are powerful tools for learning graph-based knowledge representations from training data. However, they are vulnerable to small perturbations in the input graph, which makes them susceptible to…

Machine Learning · Computer Science 2025-12-16 Boqi Chen , Kristóf Marussy , Oszkár Semeráth , Gunter Mussbacher , Dániel Varró

Deep Graph Learning (DGL) has emerged as a crucial technique across various domains. However, recent studies have exposed vulnerabilities in DGL models, such as susceptibility to evasion and poisoning attacks. While empirical and provable…

Machine Learning · Computer Science 2023-12-08 Yuni Lai , Yulin Zhu , Bailin Pan , Kai Zhou

Deep Neural Networks are vulnerable to small perturbations that can drastically alter their predictions for perceptually unchanged inputs. The literature on adversarially robust Deep Learning attempts to either enhance the robustness of…

Computer Vision and Pattern Recognition · Computer Science 2025-12-09 Thomas Massena , Corentin Friedrich , Franck Mamalet , Mathieu Serrurier

We show how to turn any classifier that classifies well under Gaussian noise into a new classifier that is certifiably robust to adversarial perturbations under the $\ell_2$ norm. This "randomized smoothing" technique has been proposed…

Machine Learning · Computer Science 2019-06-18 Jeremy M Cohen , Elan Rosenfeld , J. Zico Kolter

Currently the most popular method of providing robustness certificates is randomized smoothing where an input is smoothed via some probability distribution. We propose a novel approach to randomized smoothing over multiplicative parameters.…

Machine Learning · Computer Science 2022-08-17 Nikita Muravev , Aleksandr Petiushko

A reliable application of deep neural network classifiers requires robustness certificates against adversarial perturbations. Gaussian smoothing is a widely analyzed approach to certifying robustness against norm-bounded perturbations,…

Machine Learning · Computer Science 2024-09-23 Hossein Goli , Farzan Farnia

The literature on provable robustness in machine learning has primarily focused on static prediction problems, such as image classification, in which input samples are assumed to be independent and model performance is measured as an…

Machine Learning · Computer Science 2023-03-30 Aounon Kumar , Vinu Sankar Sadasivan , Soheil Feizi

The objective of neural network (NN) robustness certification is to determine if a NN changes its predictions when mutations are made to its inputs. While most certification research studies pixel-level or a few geometrical-level and…

Cryptography and Security · Computer Science 2023-06-13 Yuanyuan Yuan , Shuai Wang , Zhendong Su

Graph neural networks (GNNs) are becoming the de facto method to learn on the graph data and have achieved the state-of-the-art on node and graph classification tasks. However, recent works show GNNs are vulnerable to training-time…

Machine Learning · Computer Science 2025-03-25 Jiate Li , Meng Pang , Yun Dong , Binghui Wang

Tree-based models are used in many high-stakes application domains such as finance and medicine, where robustness and interpretability are of utmost importance. Yet, methods for improving and certifying their robustness are severely…

Machine Learning · Computer Science 2022-11-16 Miklós Z. Horváth , Mark Niklas Müller , Marc Fischer , Martin Vechev

Linearized Graph Neural Networks (GNNs) have attracted great attention in recent years for graph representation learning. Compared with nonlinear Graph Neural Network (GNN) models, linearized GNNs are much more time-efficient and can…

Machine Learning · Computer Science 2023-02-02 Yulin Zhu , Xing Ai , Qimai Li , Xiao-Ming Wu , Kai Zhou

Graph neural networks (GNNs) achieve the state-of-the-art on graph-relevant tasks such as node and graph classification. However, recent works show GNNs are vulnerable to adversarial perturbations include the perturbation on edges, nodes,…

Cryptography and Security · Computer Science 2025-02-04 Jiate Li , Binghui Wang

Despite advancements in Graph Neural Networks (GNNs), adaptive attacks continue to challenge their robustness. Certified robustness based on randomized smoothing has emerged as a promising solution, offering provable guarantees that a…

Machine Learning · Computer Science 2025-04-01 Yuni Lai , Yulin Zhu , Yixuan Sun , Yulun Wu , Bin Xiao , Gaolei Li , Jianhua Li , Kai Zhou

The robustness and anomaly detection capability of neural networks are crucial topics for their safe adoption in the real-world. Moreover, the over-parameterization of recent networks comes with high computational costs and raises questions…

Machine Learning · Computer Science 2022-07-12 Morgane Ayle , Bertrand Charpentier , John Rachwan , Daniel Zügner , Simon Geisler , Stephan Günnemann

Machine learning models are highly vulnerable to label flipping, i.e., the adversarial modification (poisoning) of training labels to compromise performance. Thus, deriving robustness certificates is important to guarantee that test…

Machine Learning · Computer Science 2025-03-04 Mahalakshmi Sabanayagam , Lukas Gosch , Stephan Günnemann , Debarghya Ghoshdastidar

State-of-the-art NLP models can often be fooled by human-unaware transformations such as synonymous word substitution. For security reasons, it is of critical importance to develop models with certified robustness that can provably…

Machine Learning · Computer Science 2020-06-01 Mao Ye , Chengyue Gong , Qiang Liu

In this work we propose a random graph model that can produce graphs at different levels of sparsity. We analyze how sparsity affects the graph spectra, and thus the performance of graph neural networks (GNNs) in node classification on…

Social and Information Networks · Computer Science 2023-09-14 Luana Ruiz , Ningyuan Huang , Soledad Villar