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Related papers: Is ReLU Adversarially Robust?

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Adversarial training is an effective method to improve the machine learning (ML) model robustness. Most existing studies typically consider the Rectified linear unit (ReLU) activation function and centralized training environments. In this…

Machine Learning · Computer Science 2025-12-05 Long Dang , Thushari Hapuarachchi , Kaiqi Xiong , Jing Lin

Adversarial training is a widely-applied approach to training deep neural networks to be robust against adversarial perturbation. However, although adversarial training has achieved empirical success in practice, it still remains unclear…

Machine Learning · Computer Science 2025-02-10 Binghui Li , Yuanzhi Li

The nonlinearity of activation functions used in deep learning models are crucial for the success of predictive models. There are several commonly used simple nonlinear functions, including Rectified Linear Unit (ReLU) and Leaky-ReLU…

Machine Learning · Computer Science 2020-10-16 Nalinda Kulathunga , Nishath Rajiv Ranasinghe , Daniel Vrinceanu , Zackary Kinsman , Lei Huang , Yunjiao Wang

It has been demonstrated that very simple attacks can fool highly-sophisticated neural network architectures. In particular, so-called adversarial examples, constructed from perturbations of input data that are small or imperceptible to…

Cryptography and Security · Computer Science 2019-04-09 N. Benjamin Erichson , Zhewei Yao , Michael W. Mahoney

It is well-known that deep neural networks are vulnerable to adversarial attacks. Recent studies show that well-designed classification parts can lead to better robustness. However, there is still much space for improvement along this line.…

Machine Learning · Computer Science 2020-10-09 Cong Xu , Dan Li , Min Yang

Nowadays, we are more and more reliant on Deep Learning (DL) models and thus it is essential to safeguard the security of these systems. This paper explores the security issues in Deep Learning and analyses, through the use of experiments,…

Machine Learning · Computer Science 2022-04-26 Marco Marchetti , Edmond S. L. Ho

Deep neural networks are known to be vulnerable to adversarially perturbed inputs. A commonly used defense is adversarial training, whose performance is influenced by model capacity. While previous works have studied the impact of varying…

Machine Learning · Computer Science 2021-10-13 Sihui Dai , Saeed Mahloujifar , Prateek Mittal

Adversarial robustness has become an emerging challenge for neural network owing to its over-sensitivity to small input perturbations. While being critical, we argue that solving this singular issue alone fails to provide a comprehensive…

Machine Learning · Computer Science 2021-03-02 Yu-Lin Tsai , Chia-Yi Hsu , Chia-Mu Yu , Pin-Yu Chen

Despite the empirical success of using Adversarial Training to defend deep learning models against adversarial perturbations, so far, it still remains rather unclear what the principles are behind the existence of adversarial perturbations,…

Machine Learning · Computer Science 2022-06-14 Zeyuan Allen-Zhu , Yuanzhi Li

Recent work has demonstrated that deep neural networks are vulnerable to adversarial examples---inputs that are almost indistinguishable from natural data and yet classified incorrectly by the network. In fact, some of the latest findings…

Machine Learning · Statistics 2019-09-06 Aleksander Madry , Aleksandar Makelov , Ludwig Schmidt , Dimitris Tsipras , Adrian Vladu

Despite their widespread success, deep neural networks remain critically vulnerable to adversarial attacks, posing significant risks in safety-sensitive applications. This paper investigates activation functions as a crucial yet…

Machine Learning · Computer Science 2025-07-31 Yunrui Yu , Kafeng Wang , Hang Su , Jun Zhu

Rectified linear unit (ReLU) is a widely used activation function for deep convolutional neural networks. However, because of the zero-hard rectification, ReLU networks miss the benefits from negative values. In this paper, we propose a…

Computer Vision and Pattern Recognition · Computer Science 2018-01-30 Suo Qiu , Xiangmin Xu , Bolun Cai

Given the widespread use of deep learning models in safety-critical applications, ensuring that the decisions of such models are robust against adversarial exploitation is of fundamental importance. In this thesis, we discuss recent…

Machine Learning · Computer Science 2025-09-24 Alexander Robey

Selecting the most suitable activation function is a critical factor in the effectiveness of deep learning models, as it influences their learning capacity, stability, and computational efficiency. In recent years, the Gaussian Error Linear…

Machine Learning · Computer Science 2023-08-02 Minhyeok Lee

The Rectified Power Unit (RePU) activation function, a differentiable generalization of the Rectified Linear Unit (ReLU), has shown promise in constructing neural networks due to its smoothness properties. However, deep RePU networks often…

Machine Learning · Computer Science 2026-02-10 Taeyoung Kim , Myungjoo Kang

Adversarial robustness studies the worst-case performance of a machine learning model to ensure safety and reliability. With the proliferation of deep-learning-based technology, the potential risks associated with model development and…

Machine Learning · Computer Science 2023-01-06 Pin-Yu Chen , Sijia Liu

This work provides a thorough study on how reward scaling can affect performance of deep reinforcement learning agents. In particular, we would like to answer the question that how does reward scaling affect non-saturating ReLU networks in…

Machine Learning · Computer Science 2018-11-01 Yueh-Hua Wu , Fan-Yun Sun , Yen-Yu Chang , Shou-De Lin

Machine learning models are vulnerable to adversarial examples formed by applying small carefully chosen perturbations to inputs that cause unexpected classification errors. In this paper, we perform experiments on various adversarial…

Computer Vision and Pattern Recognition · Computer Science 2017-08-08 Andras Rozsa , Manuel Günther , Terrance E. Boult

Adversarial Training has proved to be an effective training paradigm to enforce robustness against adversarial examples in modern neural network architectures. Despite many efforts, explanations of the foundational principles underpinning…

Computer Vision and Pattern Recognition · Computer Science 2022-03-18 Mattia Carletti , Matteo Terzi , Gian Antonio Susto

Machine learning and deep learning in particular has been recently used to successfully address many tasks in the domain of code such as finding and fixing bugs, code completion, decompilation, type inference and many others. However, the…

Machine Learning · Computer Science 2020-08-18 Pavol Bielik , Martin Vechev
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