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Related papers: A Recipe for Improved Certifiable Robustness

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The last decade has witnessed the breakthrough of deep neural networks (DNNs) in many fields. With the increasing depth of DNNs, hundreds of millions of multiply-and-accumulate (MAC) operations need to be executed. To accelerate such…

Hardware Architecture · Computer Science 2022-11-29 Amro Eldebiky , Grace Li Zhang , Georg Boecherer , Bing Li , Ulf Schlichtmann

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

Quantized neural network (NN) with a reduced bit precision is an effective solution to reduces the computational and memory resource requirements and plays a vital role in machine learning. However, it is still challenging to avoid the…

Machine Learning · Computer Science 2020-10-23 Xiaobin Li , Hongxu Jiang , Shuangxi Huang , Fangzheng Tian

Deriving sharp and computable upper bounds of the Lipschitz constant of deep neural networks is crucial to formally guarantee the robustness of neural-network based models. We analyse three existing upper bounds written for the $l^2$ norm.…

Machine Learning · Computer Science 2024-10-29 Moreno Pintore , Bruno Després

The Lipschitz constant of neural networks has been established as a key quantity to enforce the robustness to adversarial examples. In this paper, we tackle the problem of building $1$-Lipschitz Neural Networks. By studying Residual…

Machine Learning · Computer Science 2022-02-02 Laurent Meunier , Blaise Delattre , Alexandre Araujo , Alexandre Allauzen

Recent works have developed several methods of defending neural networks against adversarial attacks with certified guarantees. However, these techniques can be computationally costly due to the use of certification during training. We…

Machine Learning · Computer Science 2021-02-03 Akhilan Boopathy , Tsui-Wei Weng , Sijia Liu , Pin-Yu Chen , Gaoyuan Zhang , Luca Daniel

As robustness verification methods are becoming more precise, training certifiably robust neural networks is becoming ever more relevant. To this end, certified training methods compute and then optimize an upper bound on the worst-case…

Machine Learning · Computer Science 2024-02-29 Yuhao Mao , Mark Niklas Müller , Marc Fischer , Martin Vechev

As reinforcement learning (RL) has achieved near human-level performance in a variety of tasks, its robustness has raised great attention. While a vast body of research has explored test-time (evasion) attacks in RL and corresponding…

Machine Learning · Computer Science 2022-03-17 Fan Wu , Linyi Li , Chejian Xu , Huan Zhang , Bhavya Kailkhura , Krishnaram Kenthapadi , Ding Zhao , Bo Li

Neural networks are often highly sensitive to input and weight perturbations. This sensitivity has been linked to pathologies such as vulnerability to adversarial examples, divergent training, and overfitting. To combat these problems, past…

Machine Learning · Computer Science 2025-07-18 Laker Newhouse , R. Preston Hess , Franz Cesista , Andrii Zahorodnii , Jeremy Bernstein , Phillip Isola

With the rapid development of deep learning, the sizes of neural networks become larger and larger so that the training and inference often overwhelm the hardware resources. Given the fact that neural networks are often over-parameterized,…

Machine Learning · Computer Science 2022-06-20 Zhangheng Li , Tianlong Chen , Linyi Li , Bo Li , Zhangyang Wang

For sensitive problems, such as medical imaging or fraud detection, Neural Network (NN) adoption has been slow due to concerns about their reliability, leading to a number of algorithms for explaining their decisions. NNs have also been…

Machine Learning · Computer Science 2019-11-06 Walt Woods , Jack Chen , Christof Teuscher

Adversarial training attains strong empirical robustness to specific adversarial attacks by training on concrete adversarial perturbations, but it produces neural networks that are not amenable to strong robustness certificates through…

Machine Learning · Computer Science 2026-02-04 Alessandro De Palma

The increasing use of machine learning in safety-critical domains amplifies the risk of adversarial threats, especially data poisoning attacks that corrupt training data to degrade performance or induce unsafe behavior. Most existing…

Machine Learning · Computer Science 2026-05-13 Sara Taheri , Mahalakshmi Sabanayagam , Debarghya Ghoshdastidar , Majid Zamani

Lipschitz constrained networks have gathered considerable attention in the deep learning community, with usages ranging from Wasserstein distance estimation to the training of certifiably robust classifiers. However they remain commonly…

Adversarial training, which is to enhance robustness against adversarial attacks, has received much attention because it is easy to generate human-imperceptible perturbations of data to deceive a given deep neural network. In this paper, we…

Machine Learning · Statistics 2023-06-02 Dongyoon Yang , Insung Kong , Yongdai Kim

Recent work has shown that state-of-the-art classifiers are quite brittle, in the sense that a small adversarial change of an originally with high confidence correctly classified input leads to a wrong classification again with high…

Machine Learning · Computer Science 2017-11-07 Matthias Hein , Maksym Andriushchenko

Deep neural networks (DNNs) are vulnerable to adversarial noises, which motivates the benchmark of model robustness. Existing benchmarks mainly focus on evaluating defenses, but there are no comprehensive studies of how architecture design…

Computer Vision and Pattern Recognition · Computer Science 2022-01-17 Shiyu Tang , Ruihao Gong , Yan Wang , Aishan Liu , Jiakai Wang , Xinyun Chen , Fengwei Yu , Xianglong Liu , Dawn Song , Alan Yuille , Philip H. S. Torr , Dacheng Tao

Deep neural networks are susceptible to adversarial examples, posing a significant security risk in critical applications. Adversarial Training (AT) is a well-established technique to enhance adversarial robustness, but it often comes at…

Machine Learning · Computer Science 2023-08-08 Kaijie Zhu , Jindong Wang , Xixu Hu , Xing Xie , Ge Yang

Despite the large success of deep neural networks (DNN) in recent years, most neural networks still lack mathematical guarantees in terms of stability. For instance, DNNs are vulnerable to small or even imperceptible input perturbations, so…

Machine Learning · Computer Science 2022-11-02 Leon Bungert , René Raab , Tim Roith , Leo Schwinn , Daniel Tenbrinck

Robustness of neural networks is commonly quantified via local or global Lipschitz constants. However, Lipschitz continuity can be overly coarse or overly restrictive as global robustness measure, failing to capture nuanced, data-dependent…

Machine Learning · Statistics 2026-05-28 Jürgen Dölz , Michael Multerer , Michele Palma
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