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Projected Gradient Descent (PGD) is a strong and widely used first-order adversarial attack, yet its computational cost scales poorly, as all training samples undergo identical iterative inner-loop optimization despite contributing…

Machine Learning · Computer Science 2025-12-29 Youran Ye , Dejin Wang , Ajinkya Bhandare

In recent years, deep neural networks have demonstrated outstanding performance in many machine learning tasks. However, researchers have discovered that these state-of-the-art models are vulnerable to adversarial examples: legitimate…

Machine Learning · Computer Science 2018-10-10 Ting-Jui Chang , Yukun He , Peng Li

Adversarial attacks, particularly the Fast Gradient Sign Method (FGSM) and Projected Gradient Descent (PGD) pose significant threats to the robustness of deep learning models in image classification. This paper explores and refines defense…

Cryptography and Security · Computer Science 2025-05-15 Hetvi Waghela , Jaydip Sen , Sneha Rakshit

Deep neural network-based image classifications are vulnerable to adversarial perturbations. The image classifications can be easily fooled by adding artificial small and imperceptible perturbations to input images. As one of the most…

Computer Vision and Pattern Recognition · Computer Science 2023-08-16 Jindong Gu , Hengshuang Zhao , Volker Tresp , Philip Torr

Adversarial training, especially projected gradient descent (PGD), has proven to be a successful approach for improving robustness against adversarial attacks. After adversarial training, gradients of models with respect to their inputs…

Machine Learning · Statistics 2023-04-21 Ricardo Bigolin Lanfredi , Joyce D. Schroeder , Tolga Tasdizen

We investigate adversarial-sample generation methods from a frequency domain perspective and extend standard $l_{\infty}$ Projected Gradient Descent (PGD) to the frequency domain. The resulting method, which we call Spectral Projected…

Machine Learning · Computer Science 2020-10-14 Hans Shih-Han Wang , Cory Cornelius , Brandon Edwards , Jason Martin

Recent advances show that deep neural networks are not robust to deliberately crafted adversarial examples which many are generated by adding human imperceptible perturbation to clear input. Consider $l_2$ norms attacks, Project Gradient…

Machine Learning · Computer Science 2019-06-11 Fanyou Wu , Rado Gazo , Eva Haviarova , Bedrich Benes

Adversarial Training (AT) with Projected Gradient Descent (PGD) is an effective approach for improving the robustness of the deep neural networks. However, PGD AT has been shown to suffer from two main limitations: i) high computational…

Computer Vision and Pattern Recognition · Computer Science 2020-12-29 Ahmadreza Jeddi , Mohammad Javad Shafiee , Alexander Wong

Adversarial attacks against deep learning models represent a major threat to the security and reliability of natural language processing (NLP) systems. In this paper, we propose a modification to the BERT-Attack framework, integrating…

Machine Learning · Computer Science 2024-08-01 Hetvi Waghela , Jaydip Sen , Sneha Rakshit

Projected Gradient Descent (PGD) based adversarial training has become one of the most prominent methods for building robust deep neural network models. However, the computational complexity associated with this approach, due to the…

Machine Learning · Computer Science 2020-05-01 Sidharth Gupta , Parijat Dube , Ashish Verma

Current LLM alignment methods are readily broken through specifically crafted adversarial prompts. While crafting adversarial prompts using discrete optimization is highly effective, such attacks typically use more than 100,000 LLM calls.…

Machine Learning · Computer Science 2025-03-04 Simon Geisler , Tom Wollschläger , M. H. I. Abdalla , Johannes Gasteiger , Stephan Günnemann

Designing powerful adversarial attacks is of paramount importance for the evaluation of $\ell_p$-bounded adversarial defenses. Projected Gradient Descent (PGD) is one of the most effective and conceptually simple algorithms to generate such…

Machine Learning · Computer Science 2022-12-16 Nikolaos Antoniou , Efthymios Georgiou , Alexandros Potamianos

Despite recent success on various tasks, deep learning techniques still perform poorly on adversarial examples with small perturbations. While optimization-based methods for adversarial attacks are well-explored in the field of computer…

Computation and Language · Computer Science 2023-06-09 Lifan Yuan , Yichi Zhang , Yangyi Chen , Wei Wei

State-of-the-art deep neural networks are sensitive to small input perturbations. Since the discovery of this intriguing vulnerability, many defence methods have been proposed that attempt to improve robustness to adversarial noise. Fast…

Machine Learning · Computer Science 2021-06-04 Alexander Matyasko , Lap-Pui Chau

Efficient and effective attacks are crucial for reliable evaluation of defenses, and also for developing robust models. Projected Gradient Descent (PGD) attack has been demonstrated to be one of the most successful adversarial attacks.…

Computer Vision and Pattern Recognition · Computer Science 2022-02-01 Mengting Xu , Tao Zhang , Zhongnian Li , Daoqiang Zhang

The vulnerability of deep neural networks to small and even imperceptible perturbations has become a central topic in deep learning research. Although several sophisticated defense mechanisms have been introduced, most were later shown to…

Machine Learning · Computer Science 2021-09-28 Leo Schwinn , An Nguyen , René Raab , Dario Zanca , Bjoern Eskofier , Daniel Tenbrinck , Martin Burger

In many real-world applications of Machine Learning it is of paramount importance not only to provide accurate predictions, but also to ensure certain levels of robustness. Adversarial Training is a training procedure aiming at providing…

Machine Learning · Computer Science 2019-10-09 Matteo Terzi , Gian Antonio Susto , Pratik Chaudhari

Adversarial training is an effective approach to make deep neural networks robust against adversarial attacks. Recently, different adversarial training defenses are proposed that not only maintain a high clean accuracy but also show…

Machine Learning · Computer Science 2023-01-02 Muzammal Naseer , Salman Khan , Fatih Porikli , Fahad Shahbaz Khan

Adversarial training is the most successful empirical method for increasing the robustness of neural networks against adversarial attacks. However, the most effective approaches, like training with Projected Gradient Descent (PGD) are…

Machine Learning · Computer Science 2020-03-18 Leo Schwinn , René Raab , Björn Eskofier

Neural networks have demonstrated success in various domains, yet their performance can be significantly degraded by even a small input perturbation. Consequently, the construction of such perturbations, known as adversarial attacks, has…

Machine Learning · Computer Science 2024-05-22 Junjie Yang , Tianlong Chen , Xuxi Chen , Zhangyang Wang , Yingbin Liang
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