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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

Randomized smoothing has become a leading method for achieving certified robustness in deep classifiers against l_{p}-norm adversarial perturbations. Current approaches for achieving certified robustness, such as data augmentation with…

Machine Learning · Computer Science 2024-05-28 Jieren Deng , Hanbin Hong , Aaron Palmer , Xin Zhou , Jinbo Bi , Kaleel Mahmood , Yuan Hong , Derek Aguiar

Randomized smoothing is a popular way of providing robustness guarantees against adversarial attacks: randomly-smoothed functions have a universal Lipschitz-like bound, allowing for robustness certificates to be easily computed. In this…

Machine Learning · Computer Science 2020-12-16 Alexander Levine , Aounon Kumar , Thomas Goldstein , Soheil Feizi

Recent work in adversarial robustness suggests that natural data distributions are localized, i.e., they place high probability in small volume regions of the input space, and that this property can be utilized for designing classifiers…

Machine Learning · Computer Science 2024-05-24 Ambar Pal , René Vidal , Jeremias Sulam

Randomized smoothing has recently attracted attentions in the field of adversarial robustness to provide provable robustness guarantees on smoothed neural network classifiers. However, existing works show that vanilla randomized smoothing…

Machine Learning · Computer Science 2023-10-13 Linbo Liu , Trong Nghia Hoang , Lam M. Nguyen , Tsui-Wei Weng

As ML models are increasingly deployed in critical applications, robustness against adversarial perturbations is crucial. While numerous defenses have been proposed to counter such attacks, they typically assume that all adversarial…

Machine Learning · Computer Science 2025-06-11 Yuan Xin , Dingfan Chen , Michael Backes , Xiao Zhang

Several recent works have shown that state-of-the-art classifiers are vulnerable to worst-case (i.e., adversarial) perturbations of the datapoints. On the other hand, it has been empirically observed that these same classifiers are…

Machine Learning · Computer Science 2016-09-02 Alhussein Fawzi , Seyed-Mohsen Moosavi-Dezfooli , Pascal Frossard

Randomized smoothing (RS) is an effective and scalable technique for constructing neural network classifiers that are certifiably robust to adversarial perturbations. Most RS works focus on training a good base model that boosts the…

Machine Learning · Computer Science 2021-09-20 Chen Chen , Kezhi Kong , Peihong Yu , Juan Luque , Tom Goldstein , Furong Huang

While prior research has proposed a plethora of methods that build neural classifiers robust against adversarial robustness, practitioners are still reluctant to adopt them due to their unacceptably severe clean accuracy penalties. This…

Machine Learning · Computer Science 2024-07-23 Yatong Bai , Brendon G. Anderson , Aerin Kim , Somayeh Sojoudi

Randomized smoothing has emerged as a potent certifiable defense against adversarial attacks by employing smoothing noises from specific distributions to ensure the robustness of a smoothed classifier. However, the utilization of Monte…

Machine Learning · Computer Science 2025-04-01 Devansh Bhardwaj , Kshitiz Kaushik , Sarthak Gupta

Adversarial training, which is to enhance robustness against adversarial attacks, has received much attention because it is easy to generate human-imperceptible perturbations of data to deceive a given deep neural network. In this paper, we…

Machine Learning · Statistics 2023-06-02 Dongyoon Yang , Insung Kong , Yongdai Kim

Modern machine learning models with very high accuracy have been shown to be vulnerable to small, adversarially chosen perturbations of the input. Given black-box access to a high-accuracy classifier $f$, we show how to construct a new…

Machine Learning · Computer Science 2019-12-17 Grzegorz Głuch , Rüdiger Urbanke

The robustness of deep neural networks (DNNs) against adversarial example attacks has raised wide attention. For smoothed classifiers, we propose the worst-case adversarial loss over input distributions as a robustness certificate. Compared…

Machine Learning · Computer Science 2021-05-03 Jungang Yang , Liyao Xiang , Ruidong Chen , Yukun Wang , Wei Wang , Xinbing Wang

Certified defenses such as randomized smoothing have shown promise towards building reliable machine learning systems against $\ell_p$-norm bounded attacks. However, existing methods are insufficient or unable to provably defend against…

Machine Learning · Computer Science 2022-06-30 Zhongkai Hao , Chengyang Ying , Yinpeng Dong , Hang Su , Jun Zhu , Jian Song

Randomized smoothing is a recent technique that achieves state-of-art performance in training certifiably robust deep neural networks. While the smoothing family of distributions is often connected to the choice of the norm used for…

Machine Learning · Computer Science 2022-07-06 Motasem Alfarra , Adel Bibi , Philip H. S. Torr , Bernard Ghanem

Randomized smoothing has become a leading approach for certifying adversarial robustness in machine learning models. However, a persistent gap remains between theoretical certified robustness and empirical robustness accuracy. This paper…

Machine Learning · Computer Science 2025-04-10 Blaise Delattre , Paul Caillon , Quentin Barthélemy , Erwan Fagnou , Alexandre Allauzen

Real-life applications of deep neural networks are hindered by their unsteady predictions when faced with noisy inputs and adversarial attacks. The certified radius in this context is a crucial indicator of the robustness of models. However…

Machine Learning · Computer Science 2024-03-19 Blaise Delattre , Alexandre Araujo , Quentin Barthélemy , Alexandre Allauzen

State-of-the-art classifiers have been shown to be largely vulnerable to adversarial perturbations. One of the most effective strategies to improve robustness is adversarial training. In this paper, we investigate the effect of adversarial…

Machine Learning · Computer Science 2018-11-27 Seyed-Mohsen Moosavi-Dezfooli , Alhussein Fawzi , Jonathan Uesato , Pascal Frossard

A range of defense methods have been proposed to improve the robustness of neural networks on adversarial examples, among which provable defense methods have been demonstrated to be effective to train neural networks that are certifiably…

Machine Learning · Computer Science 2021-01-21 Mengting Xu , Tao Zhang , Zhongnian Li , Daoqiang Zhang

We study certified robustness of machine learning classifiers against adversarial perturbations. In particular, we propose the first universally approximated certified robustness (UniCR) framework, which can approximate the robustness…

Machine Learning · Computer Science 2022-07-12 Hanbin Hong , Binghui Wang , Yuan Hong