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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

High sensitivity of neural networks against malicious perturbations on inputs causes security concerns. To take a steady step towards robust classifiers, we aim to create neural network models provably defended from perturbations. Prior…

Computer Vision and Pattern Recognition · Computer Science 2018-11-02 Yusuke Tsuzuku , Issei Sato , Masashi Sugiyama

The robustness of neural networks against input perturbations with bounded magnitude represents a serious concern in the deployment of deep learning models in safety-critical systems. Recently, the scientific community has focused on…

Machine Learning · Computer Science 2023-11-29 Bernd Prach , Fabio Brau , Giorgio Buttazzo , Christoph H. Lampert

Certifiable robustness gives the guarantee that small perturbations around an input to a classifier will not change the prediction. There are two approaches to provide certifiable robustness to adversarial examples: a) explicitly training…

Machine Learning · Computer Science 2025-08-04 Meiyu Zhong , Ravi Tandon

Despite the promise of Lipschitz-based methods for provably-robust deep learning with deterministic guarantees, current state-of-the-art results are limited to feed-forward Convolutional Networks (ConvNets) on low-dimensional data, such as…

Machine Learning · Computer Science 2023-10-31 Kai Hu , Andy Zou , Zifan Wang , Klas Leino , Matt Fredrikson

While neural networks have achieved high performance in different learning tasks, their accuracy drops significantly in the presence of small adversarial perturbations to inputs. Defenses based on regularization and adversarial training are…

Machine Learning · Computer Science 2019-02-07 Sahil Singla , Soheil Feizi

The threat of adversarial examples has motivated work on training certifiably robust neural networks to facilitate efficient verification of local robustness at inference time. We formalize a notion of global robustness, which captures the…

Machine Learning · Computer Science 2021-06-15 Klas Leino , Zifan Wang , Matt Fredrikson

A robustness certificate is the minimum distance of a given input to the decision boundary of the classifier (or its lower bound). For {\it any} input perturbations with a magnitude smaller than the certificate value, the classification…

Machine Learning · Computer Science 2020-06-02 Sahil Singla , Soheil Feizi

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

Recent studies have highlighted the potential of Lipschitz-based methods for training certifiably robust neural networks against adversarial attacks. A key challenge, supported both theoretically and empirically, is that robustness demands…

Machine Learning · Computer Science 2024-06-25 Kai Hu , Klas Leino , Zifan Wang , Matt Fredrikson

Sensitivity-based robustness certification has emerged as a practical approach for certifying neural network robustness, including in settings that require verifiable guarantees. A key advantage of these methods is that certification is…

Machine Learning · Computer Science 2026-03-26 Toby Murray

Certified robustness is a desirable property for deep neural networks in safety-critical applications, and popular training algorithms can certify robustness of a neural network by computing a global bound on its Lipschitz constant.…

Machine Learning · Computer Science 2021-11-03 Yujia Huang , Huan Zhang , Yuanyuan Shi , J Zico Kolter , Anima Anandkumar

Deep Networks have been shown to provide state-of-the-art performance in many machine learning challenges. Unfortunately, they are susceptible to various types of noise, including adversarial attacks and corrupted inputs. In this work we…

Machine Learning · Computer Science 2019-09-12 Carlos Lassance , Vincent Gripon , Jian Tang , Antonio Ortega

To improve the robustness of deep classifiers against adversarial perturbations, many approaches have been proposed, such as designing new architectures with better robustness properties (e.g., Lipschitz-capped networks), or modifying the…

Machine Learning · Computer Science 2025-03-27 Mahyar Fazlyab , Taha Entesari , Aniket Roy , Rama Chellappa

Deep neural networks for natural language processing are fragile in the face of adversarial examples -- small input perturbations, like synonym substitution or word duplication, which cause a neural network to change its prediction. We…

Machine Learning · Computer Science 2021-09-08 Yuhao Zhang , Aws Albarghouthi , Loris D'Antoni

Deep Neural Network-based systems are now the state-of-the-art in many robotics tasks, but their application in safety-critical domains remains dangerous without formal guarantees on network robustness. Small perturbations to sensor inputs…

Machine Learning · Computer Science 2022-02-03 Michael Everett , Bjorn Lutjens , Jonathan P. How

This paper studies how encouraging semantically-aligned features during deep neural network training can increase network robustness. Recent works observed that Adversarial Training leads to robust models, whose learnt features appear to…

Machine Learning · Computer Science 2021-11-22 Motasem Alfarra , Juan C. Pérez , Adel Bibi , Ali Thabet , Pablo Arbeláez , Bernard Ghanem

We present knowledge continuity, a novel definition inspired by Lipschitz continuity which aims to certify the robustness of neural networks across input domains (such as continuous and discrete domains in vision and language,…

Machine Learning · Computer Science 2024-11-05 Alan Sun , Chiyu Ma , Kenneth Ge , Soroush Vosoughi

Models for image segmentation, node classification and many other tasks map a single input to multiple labels. By perturbing this single shared input (e.g. the image) an adversary can manipulate several predictions (e.g. misclassify several…

Machine Learning · Computer Science 2024-02-27 Jan Schuchardt , Tom Wollschläger , Aleksandar Bojchevski , Stephan Günnemann

Deep neural networks have been widely adopted in many vision and robotics applications with visual inputs. It is essential to verify its robustness against semantic transformation perturbations, such as brightness and contrast. However,…

Computer Vision and Pattern Recognition · Computer Science 2025-10-02 Hanjiang Hu , Bowei Li , Ziwei Wang , Tianhao Wei , Casidhe Hutchison , Eric Sample , Changliu Liu
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