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Although adversarial training is known to be effective against adversarial examples, training dynamics are not well understood. In this study, we present the first theoretical analysis of adversarial training in random deep neural networks…

Machine Learning · Computer Science 2025-05-21 Soichiro Kumano , Hiroshi Kera , Toshihiko Yamasaki

We study the recently introduced stability training as a general-purpose method to increase the robustness of deep neural networks against input perturbations. In particular, we explore its use as an alternative to data augmentation and…

Machine Learning · Computer Science 2019-11-14 Jan Laermann , Wojciech Samek , Nils Strodthoff

Adversarial training (AT) has become the de-facto standard to obtain models robust against adversarial examples. However, AT exhibits severe robust overfitting: cross-entropy loss on adversarial examples, so-called robust loss, decreases…

Machine Learning · Computer Science 2021-10-07 David Stutz , Matthias Hein , Bernt Schiele

Adversarial training has become one of the most effective methods for improving robustness of neural networks. However, it often suffers from poor generalization on both clean and perturbed data. In this paper, we propose a new algorithm,…

Machine Learning · Computer Science 2020-02-19 Minhao Cheng , Qi Lei , Pin-Yu Chen , Inderjit Dhillon , Cho-Jui Hsieh

Adversarial attacks have been shown to be highly effective at degrading the performance of deep neural networks (DNNs). The most prominent defense is adversarial training, a method for learning a robust model. Nevertheless, adversarial…

Computer Vision and Pattern Recognition · Computer Science 2021-09-07 Uriya Pesso , Koby Bibas , Meir Feder

This paper investigates the theory of robustness against adversarial attacks. It focuses on the family of randomization techniques that consist in injecting noise in the network at inference time. These techniques have proven effective in…

Machine Learning · Computer Science 2019-06-12 Rafael Pinot , Laurent Meunier , Alexandre Araujo , Hisashi Kashima , Florian Yger , Cédric Gouy-Pailler , Jamal Atif

Adversarial training (AT) has been demonstrated as one of the most promising defense methods against various adversarial attacks. To our knowledge, existing AT-based methods usually train with the locally most adversarial perturbed points…

Computer Vision and Pattern Recognition · Computer Science 2021-09-07 Chuanbiao Song , Yanbo Fan , Yichen Yang , Baoyuan Wu , Yiming Li , Zhifeng Li , Kun He

Ideally, what confuses neural network should be confusing to humans. However, recent experiments have shown that small, imperceptible perturbations can change the network prediction. To address this gap in perception, we propose a novel…

Machine Learning · Computer Science 2018-10-31 Alexander Matyasko , Lap-Pui Chau

Recently, learning a model that generalizes well on out-of-distribution (OOD) data has attracted great attention in the machine learning community. In this paper, after defining OOD generalization via Wasserstein distance, we theoretically…

Machine Learning · Computer Science 2021-05-25 Mingyang Yi , Lu Hou , Jiacheng Sun , Lifeng Shang , Xin Jiang , Qun Liu , Zhi-Ming Ma

Deep neural networks are highly vulnerable to adversarial examples, i.e.,small perturbations that can significantly degrade model performance. While adversarial training has become the primary defense strategy, most studies focus on…

Machine Learning · Computer Science 2026-05-14 Lilin Zhang , Yimo Guo , Yue Li , Jiancheng Shi , Xianggen Liu

Many previous proposals for adversarial training of deep neural nets have included di- rectly modifying the gradient, training on a mix of original and adversarial examples, using contractive penalties, and approximately optimizing…

Machine Learning · Computer Science 2016-08-01 Alexander G. Ororbia , C. Lee Giles , Daniel Kifer

We propose a new regularization method based on virtual adversarial loss: a new measure of local smoothness of the conditional label distribution given input. Virtual adversarial loss is defined as the robustness of the conditional label…

Machine Learning · Statistics 2018-06-28 Takeru Miyato , Shin-ichi Maeda , Masanori Koyama , Shin Ishii

In the last a few decades, deep neural networks have achieved remarkable success in machine learning, computer vision, and pattern recognition. Recent studies however show that neural networks (both shallow and deep) may be easily fooled by…

Computer Vision and Pattern Recognition · Computer Science 2022-03-29 Zhuang Qian , Kaizhu Huang , Qiu-Feng Wang , Xu-Yao Zhang

Adversarial training is an effective method to train deep learning models that are resilient to norm-bounded perturbations, with the cost of nominal performance drop. While adversarial training appears to enhance the robustness and safety…

Machine Learning · Computer Science 2021-03-16 Mathias Lechner , Ramin Hasani , Radu Grosu , Daniela Rus , Thomas A. Henzinger

Generalization analyses of deep learning typically assume that the training converges to a fixed point. But, recent results indicate that in practice, the weights of deep neural networks optimized with stochastic gradient descent often…

Machine Learning · Computer Science 2022-08-22 Nisha Chandramoorthy , Andreas Loukas , Khashayar Gatmiry , Stefanie Jegelka

The fragility of deep neural networks to adversarially-chosen inputs has motivated the need to revisit deep learning algorithms. Including adversarial examples during training is a popular defense mechanism against adversarial attacks. This…

Optimization and Control · Mathematics 2020-05-05 Jacob H. Seidman , Mahyar Fazlyab , Victor M. Preciado , George J. Pappas

Adversarial training improves the robustness of neural networks against adversarial attacks, albeit at the expense of the trade-off between standard and robust generalization. To unveil the underlying factors driving this phenomenon, we…

Machine Learning · Computer Science 2024-01-29 Shruthi Gowda , Bahram Zonooz , Elahe Arani

Despite the efficacy on a variety of computer vision tasks, deep neural networks (DNNs) are vulnerable to adversarial attacks, limiting their applications in security-critical systems. Recent works have shown the possibility of generating…

Computer Vision and Pattern Recognition · Computer Science 2018-12-21 Ziang Yan , Yiwen Guo , Changshui Zhang

Adversarial training has been shown to be one of the most effective approaches to improve the robustness of deep neural networks. It is formalized as a min-max optimization over model weights and adversarial perturbations, where the weights…

Machine Learning · Computer Science 2022-03-14 Gaojie Jin , Xinping Yi , Wei Huang , Sven Schewe , Xiaowei Huang

While deep learning has resulted in major breakthroughs in many application domains, the frameworks commonly used in deep learning remain fragile to artificially-crafted and imperceptible changes in the data. In response to this fragility,…

Machine Learning · Computer Science 2020-11-03 Alexander Robey , Hamed Hassani , George J. Pappas
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