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Adversarial robustness measures the susceptibility of a classifier to imperceptible perturbations made to the inputs at test time. In this work we highlight the benefits of natural low rank representations that often exist for real data…

Machine Learning · Computer Science 2020-08-04 Pranjal Awasthi , Himanshu Jain , Ankit Singh Rawat , Aravindan Vijayaraghavan

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 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

We consider the sample complexity of learning with adversarial robustness. Most prior theoretical results for this problem have considered a setting where different classes in the data are close together or overlapping. Motivated by some…

Machine Learning · Computer Science 2023-01-19 Robi Bhattacharjee , Somesh Jha , Kamalika Chaudhuri

We analyze the properties of adversarial training for learning adversarially robust halfspaces in the presence of agnostic label noise. Denoting $\mathsf{OPT}_{p,r}$ as the best robust classification error achieved by a halfspace that is…

Machine Learning · Computer Science 2021-04-20 Difan Zou , Spencer Frei , Quanquan Gu

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

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

Randomized smoothing has established state-of-the-art provable robustness against $\ell_2$ norm adversarial attacks with high probability. However, the introduced Gaussian data augmentation causes a severe decrease in natural accuracy. We…

Machine Learning · Computer Science 2020-12-01 Ching-Chia Kao , Jhe-Bang Ko , Chun-Shien Lu

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

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 safety and robustness of learning-based decision-making systems are under threats from adversarial examples, as imperceptible perturbations can mislead neural networks to completely different outputs. In this paper, we present an…

Machine Learning · Computer Science 2019-11-28 Chao Tang , Yifei Fan , Anthony Yezzi

Randomness supports many critical functions in the field of machine learning (ML) including optimisation, data selection, privacy, and security. ML systems outsource the task of generating or harvesting randomness to the compiler, the cloud…

Machine Learning · Computer Science 2024-02-13 Pranav Dahiya , Ilia Shumailov , Ross Anderson

The reliability of deep learning algorithms is fundamentally challenged by the existence of adversarial examples, which are incorrectly classified inputs that are extremely close to a correctly classified input. We explore the properties of…

Machine Learning · Statistics 2021-07-23 Giacomo De Palma , Bobak T. Kiani , Seth Lloyd

Deep neural networks are vulnerable to so-called adversarial examples: inputs which are intentionally constructed to cause the model to make incorrect predictions or classifications. Adversarial examples are often visually indistinguishable…

Machine Learning · Computer Science 2024-05-28 Jonathan Peck , Bart Goossens

Model attribution is a popular tool to explain the rationales behind model predictions. However, recent work suggests that the attributions are vulnerable to minute perturbations, which can be added to input samples to fool the attributions…

Machine Learning · Computer Science 2024-05-13 Fan Wang , Adams Wai-Kin Kong

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

Text-to-Image (T2I) Diffusion Models (DMs) have shown impressive abilities in generating high-quality images based on simple text descriptions. However, as is common with many Deep Learning (DL) models, DMs are subject to a lack of…

Computer Vision and Pattern Recognition · Computer Science 2024-07-16 Yi Zhang , Yun Tang , Wenjie Ruan , Xiaowei Huang , Siddartha Khastgir , Paul Jennings , Xingyu Zhao

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

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

Deep neural networks are vulnerable against adversarial examples. In this paper, we propose to train and test the networks with randomly subsampled images with high drop rates. We show that this approach significantly improves robustness…

Machine Learning · Computer Science 2019-05-02 Hossein Hosseini , Sreeram Kannan , Radha Poovendran