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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

Despite much effort, deep neural networks remain highly susceptible to tiny input perturbations and even for MNIST, one of the most common toy datasets in computer vision, no neural network model exists for which adversarial perturbations…

Computer Vision and Pattern Recognition · Computer Science 2018-09-21 Lukas Schott , Jonas Rauber , Matthias Bethge , Wieland Brendel

End-to-end (geometric) deep learning has seen first successes in approximating the solution of combinatorial optimization problems. However, generating data in the realm of NP-hard/-complete tasks brings practical and theoretical…

Machine Learning · Computer Science 2022-03-22 Simon Geisler , Johanna Sommer , Jan Schuchardt , Aleksandar Bojchevski , Stephan Günnemann

Adversarial examples have raised questions regarding the robustness and security of deep neural networks. In this work we formalize the problem of adversarial images given a pretrained classifier, showing that even in the linear case the…

Neural and Evolutionary Computing · Computer Science 2016-06-24 Pedro Tabacof , Eduardo Valle

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

Learning representations purely from observations concerns the problem of learning a low-dimensional, compact representation which is beneficial to prediction models. Under the hypothesis that the intrinsic latent factors follow some casual…

Machine Learning · Computer Science 2023-10-24 Mengyue Yang , Xinyu Cai , Furui Liu , Weinan Zhang , Jun Wang

Recent work has demonstrated that deep neural networks are vulnerable to adversarial examples---inputs that are almost indistinguishable from natural data and yet classified incorrectly by the network. In fact, some of the latest findings…

Machine Learning · Statistics 2019-09-06 Aleksander Madry , Aleksandar Makelov , Ludwig Schmidt , Dimitris Tsipras , Adrian Vladu

The robustness of deep neural networks is usually lacking under adversarial examples, common corruptions, and distribution shifts, which becomes an important research problem in the development of deep learning. Although new deep learning…

Computer Vision and Pattern Recognition · Computer Science 2023-03-01 Chang Liu , Yinpeng Dong , Wenzhao Xiang , Xiao Yang , Hang Su , Jun Zhu , Yuefeng Chen , Yuan He , Hui Xue , Shibao Zheng

In recent years, Generative Adversarial Networks (GANs) have shown substantial progress in modeling complex distributions of data. These networks have received tremendous attention since they can generate implicit probabilistic models that…

Signal Processing · Electrical Eng. & Systems 2018-10-25 Mehdi Ahmadi , Timothy Nest , Mostafa Abdelnaim , Thanh-Dung Le

Model explainability is crucial for human users to be able to interpret how a proposed classifier assigns labels to data based on its feature values. We study generalized linear models constructed using sets of feature value rules, which…

Machine Learning · Statistics 2023-11-06 Sanjeeb Dash , Soumyadip Ghosh , Joao Goncalves , Mark S. Squillante

Reliable training of generative adversarial networks (GANs) typically require massive datasets in order to model complicated distributions. However, in several applications, training samples obey invariances that are \textit{a priori}…

The existence of adversarial examples has been a mystery for years and attracted much interest. A well-known theory by \citet{ilyas2019adversarial} explains adversarial vulnerability from a data perspective by showing that one can extract…

Machine Learning · Computer Science 2024-05-07 Ang Li , Yifei Wang , Yiwen Guo , Yisen Wang

Model robustness indicates a model's capability to generalize well on unforeseen distributional shifts, including data corruptions and adversarial attacks. Data augmentation is one of the most prevalent and effective ways to enhance…

Machine Learning · Computer Science 2025-12-16 Weebum Yoo , Sung Whan Yoon

Adversarial training has been actively studied in recent computer vision research to improve the robustness of models. However, due to the huge computational cost of generating adversarial samples, adversarial training methods are often…

Computer Vision and Pattern Recognition · Computer Science 2022-11-22 Yihan Wu , Xinda Li , Florian Kerschbaum , Heng Huang , Hongyang Zhang

The robustness of neural networks is challenged by adversarial examples that contain almost imperceptible perturbations to inputs, which mislead a classifier to incorrect outputs in high confidence. Limited by the extreme difficulty in…

Machine Learning · Computer Science 2020-10-20 Honglin Li , Yifei Fan , Frieder Ganz , Anthony Yezzi , Payam Barnaghi

A variety of real-world tasks involve the classification of images into pre-determined categories. Designing image classification algorithms that exhibit robustness to acquisition noise and image distortions, particularly when the available…

Machine Learning · Statistics 2016-03-10 Umamahesh Srinivas

Despite strong performance in numerous applications, the fragility of deep learning to input perturbations has raised serious questions about its use in safety-critical domains. While adversarial training can mitigate this issue in…

Machine Learning · Statistics 2021-11-01 Alexander Robey , Luiz F. O. Chamon , George J. Pappas , Hamed Hassani , Alejandro Ribeiro

We consider learning from labeled data collected across multiple environments, where the data distribution may vary across these environments. This problem is commonly approached from a causal perspective, seeking invariant representations…

Machine Learning · Statistics 2026-04-30 Yuli Slavutsky , David M. Blei

Neural networks are frequently used for image classification, but can be vulnerable to misclassification caused by adversarial images. Attempts to make neural network image classification more robust have included variations on…

Computer Vision and Pattern Recognition · Computer Science 2019-10-01 Basemah Alshemali , Alta Graham , Jugal Kalita

Neural networks are vulnerable to small adversarial perturbations. Existing literature largely focused on understanding and mitigating the vulnerability of learned models. In this paper, we demonstrate an intriguing phenomenon about the…

Machine Learning · Computer Science 2019-02-25 Gavin Weiguang Ding , Kry Yik Chau Lui , Xiaomeng Jin , Luyu Wang , Ruitong Huang