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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

Randomized smoothing is a well-established method for achieving certified robustness against l2-adversarial perturbations. By incorporating a denoiser before the base classifier, pretrained classifiers can be seamlessly integrated into…

Machine Learning · Computer Science 2025-09-16 Ali Hedayatnia , Mostafa Tavassolipour , Babak Nadjar Araabi , Abdol-Hossein Vahabie

Robustness is essential for deep neural networks, especially in security-sensitive applications. To this end, randomized smoothing provides theoretical guarantees for certifying robustness against adversarial perturbations. Recently,…

Computer Vision and Pattern Recognition · Computer Science 2025-07-02 Jiachen Lei , Julius Berner , Jiongxiao Wang , Zhongzhu Chen , Zhongjia Ba , Kui Ren , Jun Zhu , Anima Anandkumar

It is well-known that classifiers are vulnerable to adversarial perturbations. To defend against adversarial perturbations, various certified robustness results have been derived. However, existing certified robustnesses are limited to…

Machine Learning · Computer Science 2019-12-23 Jinyuan Jia , Xiaoyu Cao , Binghui Wang , Neil Zhenqiang Gong

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

Recent works have shown the effectiveness of randomized smoothing as a scalable technique for building neural network-based classifiers that are provably robust to $\ell_2$-norm adversarial perturbations. In this paper, we employ…

Machine Learning · Computer Science 2020-01-13 Hadi Salman , Greg Yang , Jerry Li , Pengchuan Zhang , Huan Zhang , Ilya Razenshteyn , Sebastien Bubeck

It has been recognized that the data generated by the denoising diffusion probabilistic model (DDPM) improves adversarial training. After two years of rapid development in diffusion models, a question naturally arises: can better diffusion…

Computer Vision and Pattern Recognition · Computer Science 2023-06-02 Zekai Wang , Tianyu Pang , Chao Du , Min Lin , Weiwei Liu , Shuicheng Yan

While foundation models demonstrate impressive performance across various tasks, they remain vulnerable to adversarial inputs. Current research explores various approaches to enhance model robustness, with Diffusion Denoised Smoothing…

Machine Learning · Computer Science 2025-05-22 Yury Belousov , Brian Pulfer , Vitaliy Kinakh , Slava Voloshynovskiy

Deep learning-based industrial anomaly detection models have achieved remarkably high accuracy on commonly used benchmark datasets. However, the robustness of those models may not be satisfactory due to the existence of adversarial…

Machine Learning · Computer Science 2024-08-12 Yuanpu Cao , Lu Lin , Jinghui Chen

Adversarial attacks to image classification systems present challenges to convolutional networks and opportunities for understanding them. This study suggests that adversarial perturbations on images lead to noise in the features…

Computer Vision and Pattern Recognition · Computer Science 2019-03-26 Cihang Xie , Yuxin Wu , Laurens van der Maaten , Alan Yuille , Kaiming He

Recent findings suggest that diffusion models significantly enhance empirical adversarial robustness. While some intuitive explanations have been proposed, the precise mechanisms underlying these improvements remain unclear. In this work,…

Machine Learning · Computer Science 2025-05-30 Liu Yuezhang , Xue-Xin Wei

Adversarial training and adversarial purification are two widely used defense strategies for enhancing model robustness against adversarial attacks. However, adversarial training requires costly retraining, while adversarial purification…

Computer Vision and Pattern Recognition · Computer Science 2025-09-17 Xuelong Dai , Dong Wang , Xiuzhen Cheng , Bin Xiao

The existence of adversarial data examples has drawn significant attention in the deep-learning community; such data are seemingly minimally perturbed relative to the original data, but lead to very different outputs from a deep-learning…

Machine Learning · Computer Science 2019-11-12 Bai Li , Changyou Chen , Wenlin Wang , Lawrence Carin

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

The presence of adversarial examples poses a significant threat to deep learning models and their applications. Existing defense methods provide certain resilience against adversarial examples, but often suffer from decreased accuracy and…

Cryptography and Security · Computer Science 2023-11-27 Jiahao Chen , Diqun Yan , Li Dong

We propose Adaptive Diffusion Denoised Smoothing, a method for certifying the predictions of a vision model against adversarial examples, while adapting to the input. Our key insight is to reinterpret a guided denoising diffusion model as a…

Computer Vision and Pattern Recognition · Computer Science 2025-07-14 Frederick Shpilevskiy , Saiyue Lyu , Krishnamurthy Dj Dvijotham , Mathias Lécuyer , Pierre-André Noël

Top-k predictions are used in many real-world applications such as machine learning as a service, recommender systems, and web searches. $\ell_0$-norm adversarial perturbation characterizes an attack that arbitrarily modifies some features…

Cryptography and Security · Computer Science 2022-06-07 Jinyuan Jia , Binghui Wang , Xiaoyu Cao , Hongbin Liu , Neil Zhenqiang Gong

The strategy of combining diffusion-based generative models with classifiers continues to demonstrate state-of-the-art performance on adversarial robustness benchmarks. Known as adversarial purification, this exploits a diffusion model's…

Cryptography and Security · Computer Science 2026-01-06 David D. Nguyen , The-Anh Ta , Yansong Gao , Alsharif Abuadbba

As the use of machine learning continues to expand, the importance of ensuring its safety cannot be overstated. A key concern in this regard is the ability to identify whether a given sample is from the training distribution, or is an…

Machine Learning · Computer Science 2023-08-11 Nicola Franco , Daniel Korth , Jeanette Miriam Lorenz , Karsten Roscher , Stephan Guennemann

The current state-of-the-art defense methods against adversarial examples typically focus on improving either empirical or certified robustness. Among them, adversarially trained (AT) models produce empirical state-of-the-art defense…

Machine Learning · Computer Science 2022-08-02 Jay Nandy , Sudipan Saha , Wynne Hsu , Mong Li Lee , Xiao Xiang Zhu
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