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This paper is a contribution to the reproducibility challenge in the field of machine learning, specifically addressing the issue of certifying the robustness of neural networks (NNs) against adversarial perturbations. The proposed Double…

Machine Learning · Computer Science 2023-06-28 Aryan Gupta , Sarthak Gupta , Abhay Kumar , Harsh Dugar

Neural networks (NNs) are known to be vulnerable against adversarial perturbations, and thus there is a line of work aiming to provide robustness certification for NNs, such as randomized smoothing, which samples smoothing noises from a…

Machine Learning · Computer Science 2023-02-01 Linyi Li , Jiawei Zhang , Tao Xie , Bo Li

Randomized Smoothing (RS) has been proven a promising method for endowing an arbitrary image classifier with certified robustness. However, the substantial uncertainty inherent in the high-dimensional isotropic Gaussian noise imposes the…

Computer Vision and Pattern Recognition · Computer Science 2024-06-18 Song Xia , Yi Yu , Xudong Jiang , Henghui Ding

Randomized smoothing, using just a simple isotropic Gaussian distribution, has been shown to produce good robustness guarantees against $\ell_2$-norm bounded adversaries. In this work, we show that extending the smoothing technique to…

Machine Learning · Computer Science 2020-08-17 Aounon Kumar , Alexander Levine , Tom Goldstein , Soheil Feizi

As a certified defensive technique, randomized smoothing has received considerable attention due to its scalability to large datasets and neural networks. However, several important questions remain unanswered, such as (i) whether the…

Machine Learning · Computer Science 2020-06-09 Tianhang Zheng , Di Wang , Baochun Li , Jinhui Xu

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

Evolution strategy (ES) has been shown great promise in many challenging reinforcement learning (RL) tasks, rivaling other state-of-the-art deep RL methods. Yet, there are two limitations in the current ES practice that may hinder its…

Machine Learning · Computer Science 2020-02-24 Jiaxing Zhang , Hoang Tran , Guannan Zhang

Randomized smoothing-based certification is an effective approach for obtaining robustness certificates of deep neural networks (DNNs) against adversarial attacks. This method constructs a smoothed DNN model and certifies its robustness…

Machine Learning · Computer Science 2024-04-12 Shubham Ugare , Tarun Suresh , Debangshu Banerjee , Gagandeep Singh , Sasa Misailovic

Randomized Smoothing (RS) is a promising method for obtaining robustness certificates by evaluating a base model under noise. In this work, we: (i) theoretically motivate why ensembles are a particularly suitable choice as base models for…

Machine Learning · Computer Science 2022-03-31 Miklós Z. Horváth , Mark Niklas Müller , Marc Fischer , Martin Vechev

We show a hardness result for random smoothing to achieve certified adversarial robustness against attacks in the $\ell_p$ ball of radius $\epsilon$ when $p>2$. Although random smoothing has been well understood for the $\ell_2$ case using…

Machine Learning · Computer Science 2020-03-06 Avrim Blum , Travis Dick , Naren Manoj , Hongyang Zhang

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

Implicit models such as Deep Equilibrium Models (DEQs) have emerged as promising alternative approaches for building deep neural networks. Their certified robustness has gained increasing research attention due to security concerns.…

Machine Learning · Computer Science 2024-11-05 Weizhi Gao , Zhichao Hou , Han Xu , Xiaorui Liu

Randomized Smoothing (RS), being one of few provable defenses, has been showing great effectiveness and scalability in terms of defending against $\ell_2$-norm adversarial perturbations. However, the cost of MC sampling needed in RS for…

Machine Learning · Computer Science 2021-08-03 Huimin Zeng , Jiahao Su , Furong Huang

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

Randomized smoothing (RS) has successfully been used to improve the robustness of predictions for deep neural networks (DNNs) by adding random noise to create multiple variations of an input, followed by deciding the consensus. To…

Machine Learning · Computer Science 2024-04-29 Emmanouil Seferis , Stefanos Kollias , Chih-Hong Cheng

Randomized Smoothing (RS) is a prominent technique for certifying the robustness of neural networks against adversarial perturbations. With RS, achieving high accuracy at small radii requires a small noise variance, while achieving high…

Machine Learning · Computer Science 2026-03-10 Chenhao Sun , Yuhao Mao , Martin Vechev

Randomized smoothing (RS) is a well known certified defense against adversarial attacks, which creates a smoothed classifier by predicting the most likely class under random noise perturbations of inputs during inference. While initial work…

Machine Learning · Computer Science 2023-04-21 Soumalya Nandi , Sravanti Addepalli , Harsh Rangwani , R. Venkatesh Babu

Recently, the issue of adversarial robustness in the time series domain has garnered significant attention. However, the available defense mechanisms remain limited, with adversarial training being the predominant approach, though it does…

Machine Learning · Computer Science 2024-09-20 Chang Dong , Zhengyang Li , Liangwei Zheng , Weitong Chen , Wei Emma Zhang

Randomized smoothing (RS) is one of the prominent techniques to ensure the correctness of machine learning models, where point-wise robustness certificates can be derived analytically. While RS is well understood for classification, its…

Machine Learning · Computer Science 2025-09-22 Emmanouil Seferis , Changshun Wu , Stefanos Kollias , Saddek Bensalem , Chih-Hong Cheng

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
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