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ReLU is widely seen as the default choice for activation functions in neural networks. However, there are cases where more complicated functions are required. In particular, recurrent neural networks (such as LSTMs) make extensive use of…

Machine Learning · Computer Science 2020-01-20 Nicholas Gerard Timmons , Andrew Rice

Even though deep learning has shown unmatched performance on various tasks, neural networks have been shown to be vulnerable to small adversarial perturbations of the input that lead to significant performance degradation. In this work we…

Machine Learning · Computer Science 2020-03-23 Evgenii Zheltonozhskii , Chaim Baskin , Yaniv Nemcovsky , Brian Chmiel , Avi Mendelson , Alex M. Bronstein

Modern neural networks are highly non-robust against adversarial manipulation. A significant amount of work has been invested in techniques to compute lower bounds on robustness through formal guarantees and to build provably robust models.…

Machine Learning · Computer Science 2019-09-26 Francesco Croce , Jonas Rauber , Matthias Hein

We introduce a Noise-based prior Learning (NoL) approach for training neural networks that are intrinsically robust to adversarial attacks. We find that the implicit generative modeling of random noise with the same loss function used…

Machine Learning · Computer Science 2019-06-04 Priyadarshini Panda , Kaushik Roy

Though deep neural networks exhibit superior performance on various tasks, they are still plagued by adversarial examples. Adversarial training has been demonstrated to be the most effective method to defend against adversarial attacks.…

Computer Vision and Pattern Recognition · Computer Science 2025-11-04 Xin Liu , Yichen Yang , Kun He , John E. Hopcroft

Adversarial training is a popular defense strategy against attack threat models with bounded Lp norms. However, it often degrades the model performance on normal images and the defense does not generalize well to novel attacks. Given the…

Computer Vision and Pattern Recognition · Computer Science 2020-09-08 Wei-An Lin , Chun Pong Lau , Alexander Levine , Rama Chellappa , Soheil Feizi

Deep neural networks (DNNs) are incredibly vulnerable to crafted, imperceptible adversarial perturbations. While adversarial training (AT) has proven to be an effective defense approach, the AT mechanism for robustness improvement is not…

Computer Vision and Pattern Recognition · Computer Science 2023-06-27 Binxiao Huang , Rui Lin , Chaofan Tao , Ngai Wong

Our research aims to unify existing works' diverging opinions on how architectural components affect the adversarial robustness of CNNs. To accomplish our goal, we synthesize a suite of three generalizable robust architectural design…

Computer Vision and Pattern Recognition · Computer Science 2023-09-04 ShengYun Peng , Weilin Xu , Cory Cornelius , Matthew Hull , Kevin Li , Rahul Duggal , Mansi Phute , Jason Martin , Duen Horng Chau

The weight initialization and the activation function of deep neural networks have a crucial impact on the performance of the training procedure. An inappropriate selection can lead to the loss of information of the input during forward…

Machine Learning · Statistics 2018-10-09 Soufiane Hayou , Arnaud Doucet , Judith Rousseau

Certified robustness is a desirable property for deep neural networks in safety-critical applications, and popular training algorithms can certify robustness of a neural network by computing a global bound on its Lipschitz constant.…

Machine Learning · Computer Science 2021-11-03 Yujia Huang , Huan Zhang , Yuanyuan Shi , J Zico Kolter , Anima Anandkumar

Our work proposes a novel approach to designing activation functions by focusing on their gradients and deriving the corresponding activation functions using integration. We introduce the Expanded Integral of the Exponential Linear Unit…

Machine Learning · Computer Science 2025-02-04 Allen Hao Huang , Imanol Schlag

Existing parameter-efficient fine-tuning (PEFT) methods primarily adapt weight matrices while keeping activation functions fixed. We introduce \textbf{NoRA}, the first PEFT framework that directly adapts nonlinear activation functions in…

Machine Learning · Computer Science 2025-09-19 Bo Yin , Xingyi Yang , Xinchao Wang

Nonlinear activation functions are pivotal to the success of deep neural nets, and choosing the appropriate activation function can significantly affect their performance. Most networks use fixed activation functions (e.g., ReLU, GELU,…

Computer Vision and Pattern Recognition · Computer Science 2024-07-12 Irit Chelly , Shahaf E. Finder , Shira Ifergane , Oren Freifeld

Adversarial training algorithms have been proved to be reliable to improve machine learning models' robustness against adversarial examples. However, we find that adversarial training algorithms tend to introduce severe disparity of…

Machine Learning · Computer Science 2021-05-20 Han Xu , Xiaorui Liu , Yaxin Li , Anil K. Jain , Jiliang Tang

Adversarial robustness has proven to be a required property of machine learning algorithms. A key and often overlooked aspect of this problem is to try to make the adversarial noise magnitude as large as possible to enhance the benefits of…

Machine Learning · Statistics 2020-03-31 Amirreza Shaeiri , Rozhin Nobahari , Mohammad Hossein Rohban

While deep learning has led to remarkable results on a number of challenging problems, researchers have discovered a vulnerability of neural networks in adversarial settings, where small but carefully chosen perturbations to the input can…

Neural and Evolutionary Computing · Computer Science 2018-11-26 Edward Grefenstette , Robert Stanforth , Brendan O'Donoghue , Jonathan Uesato , Grzegorz Swirszcz , Pushmeet Kohli

This paper mathematically derives an analytic solution of the adversarial perturbation on a ReLU network, and theoretically explains the difficulty of adversarial training. Specifically, we formulate the dynamics of the adversarial…

Machine Learning · Computer Science 2022-05-31 Xu Cheng , Hao Zhang , Yue Xin , Wen Shen , Jie Ren , Quanshi Zhang

Adversarial training suffers from robust overfitting, a phenomenon where the robust test accuracy starts to decrease during training. In this paper, we focus on both heuristics-driven and data-driven augmentations as a means to reduce…

Computer Vision and Pattern Recognition · Computer Science 2021-10-19 Sylvestre-Alvise Rebuffi , Sven Gowal , Dan A. Calian , Florian Stimberg , Olivia Wiles , Timothy Mann

Deep neural networks (DNNs) are playing key roles in various artificial intelligence applications such as image classification and object recognition. However, a growing number of studies have shown that there exist adversarial examples in…

Machine Learning · Computer Science 2020-10-22 Hongying Liu , Zhenyu Zhou , Fanhua Shang , Xiaoyu Qi , Yuanyuan Liu , Licheng Jiao

Machine learning-based embedded systems for safety-critical applications, such as aerospace and autonomous driving, must be robust to perturbations caused by soft errors. As transistor geometries shrink and voltages decrease, modern…

Machine Learning · Computer Science 2025-07-23 Jon Gutiérrez-Zaballa , Koldo Basterretxea , Javier Echanobe
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