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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

In the last years, AI systems, in particular neural networks, have seen a tremendous increase in performance, and they are now used in a broad range of applications. Unlike classical symbolic AI systems, neural networks are trained using…

Computer Vision and Pattern Recognition · Computer Science 2021-08-16 Christian Berghoff , Pavol Bielik , Matthias Neu , Petar Tsankov , Arndt von Twickel

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

Neural networks have demonstrated considerable success on a wide variety of real-world problems. However, networks trained only to optimize for training accuracy can often be fooled by adversarial examples - slightly perturbed inputs that…

Machine Learning · Computer Science 2019-02-19 Vincent Tjeng , Kai Xiao , Russ Tedrake

The study of provable adversarial robustness has mostly been limited to classification tasks and models with one-dimensional real-valued outputs. We extend the scope of certifiable robustness to problems with more general and structured…

Machine Learning · Computer Science 2022-01-13 Aounon Kumar , Tom Goldstein

Finding minimum distortion of adversarial examples and thus certifying robustness in neural network classifiers for given data points is known to be a challenging problem. Nevertheless, recently it has been shown to be possible to give a…

Machine Learning · Computer Science 2018-11-05 Huan Zhang , Tsui-Wei Weng , Pin-Yu Chen , Cho-Jui Hsieh , Luca Daniel

Recently, adversarial deception becomes one of the most considerable threats to deep neural networks. However, compared to extensive research in new designs of various adversarial attacks and defenses, the neural networks' intrinsic…

Machine Learning · Computer Science 2019-05-13 Fuxun Yu , Zhuwei Qin , Chenchen Liu , Liang Zhao , Yanzhi Wang , Xiang Chen

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

Spiking neural networks (SNNs) are gaining popularity in deep learning due to their low energy budget on neuromorphic hardware. However, they still face challenges in lacking sufficient robustness to guard safety-critical applications such…

Neural and Evolutionary Computing · Computer Science 2024-06-03 Jianhao Ding , Zhiyu Pan , Yujia Liu , Zhaofei Yu , Tiejun Huang

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

Current studies on adversarial robustness mainly focus on aggregating local robustness results from a set of data samples to evaluate and rank different models. However, the local statistics may not well represent the true global robustness…

Machine Learning · Computer Science 2024-10-29 Zaitang Li , Pin-Yu Chen , Tsung-Yi Ho

Neural network quantization methods often involve simulating the quantization process during training, making the trained model highly dependent on the target bit-width and precise way quantization is performed. Robust quantization offers…

Machine Learning · Computer Science 2020-10-23 Moran Shkolnik , Brian Chmiel , Ron Banner , Gil Shomron , Yury Nahshan , Alex Bronstein , Uri Weiser

Neural networks have received a lot of attention recently, and related security issues have come with it. Many studies have shown that neural networks are vulnerable to adversarial examples that have been artificially perturbed with…

Cryptography and Security · Computer Science 2025-08-07 Shi Pu , Fu Song , Wenjie Wang

We propose a novel method for computing exact pointwise robustness of deep neural networks for all convex $\ell_p$ norms. Our algorithm, GeoCert, finds the largest $\ell_p$ ball centered at an input point $x_0$, within which the output…

Machine Learning · Computer Science 2019-06-05 Matt Jordan , Justin Lewis , Alexandros G. Dimakis

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

Existing certified training methods can only train models to be robust against a certain perturbation type (e.g. $l_\infty$ or $l_2$). However, an $l_\infty$ certifiably robust model may not be certifiably robust against $l_2$ perturbation…

Machine Learning · Computer Science 2026-04-15 Enyi Jiang , David S. Cheung , Gagandeep Singh

With neural networks being used to control safety-critical systems, they increasingly have to be both accurate (in the sense of matching inputs to outputs) and robust. However, these two properties are often at odds with each other and a…

Systems and Control · Electrical Eng. & Systems 2024-05-30 Ross Drummond , Chris Guiver , Matthew C. Turner

Existing techniques for certifying the robustness of models for discrete data either work only for a small class of models or are general at the expense of efficiency or tightness. Moreover, they do not account for sparsity in the input…

Machine Learning · Computer Science 2023-02-28 Aleksandar Bojchevski , Johannes Gasteiger , Stephan Günnemann

The vulnerability to adversarial attacks has been a critical issue for deep neural networks. Addressing this issue requires a reliable way to evaluate the robustness of a network. Recently, several methods have been developed to compute…

Machine Learning · Computer Science 2019-05-20 Ching-Yun Ko , Zhaoyang Lyu , Tsui-Wei Weng , Luca Daniel , Ngai Wong , Dahua Lin

Machine learning models are highly vulnerable to label flipping, i.e., the adversarial modification (poisoning) of training labels to compromise performance. Thus, deriving robustness certificates is important to guarantee that test…

Machine Learning · Computer Science 2025-03-04 Mahalakshmi Sabanayagam , Lukas Gosch , Stephan Günnemann , Debarghya Ghoshdastidar
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