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This paper analyzes regularization terms proposed recently for improving the adversarial robustness of deep neural networks (DNNs), from a theoretical point of view. Specifically, we study possible connections between several effective…

机器学习 · 计算机科学 2020-07-07 Yiwen Guo , Long Chen , Yurong Chen , Changshui Zhang

Recent developments in deep learning have revolutionized the paradigm of image restoration. However, its applications on real image denoising are still limited, due to its sensitivity to training data and the complex nature of real image…

计算机视觉与模式识别 · 计算机科学 2019-05-06 Jin Zeng , Jiahao Pang , Wenxiu Sun , Gene Cheung

Despite apparent human-level performances of deep neural networks (DNN), they behave fundamentally differently from humans. They easily change predictions when small corruptions such as blur and noise are applied on the input (lack of…

计算机视觉与模式识别 · 计算机科学 2020-03-10 Sanghyuk Chun , Seong Joon Oh , Sangdoo Yun , Dongyoon Han , Junsuk Choe , Youngjoon Yoo

Despite the impressive performance of deep neural networks (DNNs) on numerous vision tasks, they still exhibit yet-to-understand uncouth behaviours. One puzzling behaviour is the subtle sensitive reaction of DNNs to various noise attacks.…

计算机视觉与模式识别 · 计算机科学 2019-04-26 Modar Alfadly , Adel Bibi , Bernard Ghanem

Regularization of Deep Neural Networks (DNNs) for the sake of improving their generalization capability is important and challenging. The development in this line benefits theoretical foundation of DNNs and promotes their usability in…

机器学习 · 计算机科学 2019-11-19 Yingzhen Yang , Jiahui Yu , Xingjian Li , Jun Huan , Thomas S. Huang

We propose a novel data-dependent structured gradient regularizer to increase the robustness of neural networks vis-a-vis adversarial perturbations. Our regularizer can be derived as a controlled approximation from first principles,…

机器学习 · 统计学 2018-05-23 Kevin Roth , Aurelien Lucchi , Sebastian Nowozin , Thomas Hofmann

We investigate the effect of the dimensionality of the representations learned in Deep Neural Networks (DNNs) on their robustness to input perturbations, both adversarial and random. To achieve low dimensionality of learned representations,…

机器学习 · 计算机科学 2020-02-20 Amartya Sanyal , Varun Kanade , Philip H. S. Torr , Puneet K. Dokania

Deep learning using multi-layer neural networks (NNs) architecture manifests superb power in modern machine learning systems. The trained Deep Neural Networks (DNNs) are typically large. The question we would like to address is whether it…

计算机视觉与模式识别 · 计算机科学 2016-07-05 Wei Pan , Hao Dong , Yike Guo

In this paper we consider Deep Neural Networks (DNNs) with a smooth activation function as surrogates for high-dimensional functions that are somewhat smooth but costly to evaluate. We consider the standard (non-periodic) DNNs as well as…

数值分析 · 数学 2026-03-04 Alexander Keller , Frances Y. Kuo , Dirk Nuyens , Ian H. Sloan

Recently smoothing deep neural network based classifiers via isotropic Gaussian perturbation is shown to be an effective and scalable way to provide state-of-the-art probabilistic robustness guarantee against $\ell_2$ norm bounded…

机器学习 · 统计学 2020-02-19 Huijie Feng , Chunpeng Wu , Guoyang Chen , Weifeng Zhang , Yang Ning

Regularizing Deep Neural Networks (DNNs) is essential for improving generalizability and preventing overfitting. Fixed penalty methods, though common, lack adaptability and suffer from hyperparameter sensitivity. In this paper, we propose a…

机器学习 · 计算机科学 2023-10-26 Diogo Lavado , Cláudia Soares , Alessandra Micheletti

Regularization plays an important role in generalization of deep neural networks, which are often prone to overfitting with their numerous parameters. L1 and L2 regularizers are common regularization tools in machine learning with their…

机器学习 · 计算机科学 2019-10-21 Dae Hoon Park , Chiu Man Ho , Yi Chang , Huaqing Zhang

Convex relaxations are effective for training and certifying neural networks against norm-bounded adversarial attacks, but they leave a large gap between certifiable and empirical robustness. In principle, convex relaxation can provide…

机器学习 · 计算机科学 2020-02-25 Chen Zhu , Renkun Ni , Ping-yeh Chiang , Hengduo Li , Furong Huang , Tom Goldstein

We apply concepts from manifold regularization to develop new regularization techniques for training locally stable deep neural networks. Our regularizers are based on a sparsification of the graph Laplacian which holds with high…

机器学习 · 统计学 2020-09-24 Charles Jin , Martin Rinard

The problem of adversarial examples has shown that modern Neural Network (NN) models could be rather fragile. Among the more established techniques to solve the problem, one is to require the model to be {\it $\epsilon$-adversarially…

机器学习 · 计算机科学 2020-11-17 Yuxin Wen , Shuai Li , Kui Jia

The vulnerability of neural network classifiers to adversarial attacks is a major obstacle to their deployment in safety-critical applications. Regularization of network parameters during training can be used to improve adversarial…

机器学习 · 计算机科学 2024-05-28 Sheng Yang , Jacob A. Zavatone-Veth , Cengiz Pehlevan

Deep neural networks (DNNs) are vulnerable to subtle adversarial perturbations applied to the input. These adversarial perturbations, though imperceptible, can easily mislead the DNN. In this work, we take a control theoretic approach to…

机器学习 · 计算机科学 2019-11-13 Arash Rahnama , Andre T. Nguyen , Edward Raff

Regularization is commonly used for alleviating overfitting in machine learning. For convolutional neural networks (CNNs), regularization methods, such as DropBlock and Shake-Shake, have illustrated the improvement in the generalization…

计算机视觉与模式识别 · 计算机科学 2021-01-01 Yi Wang , Zhen-Peng Bian , Junhui Hou , Lap-Pui Chau

Recent research has highlighted a critical issue known as ``robust fairness", where robust accuracy varies significantly across different classes, undermining the reliability of deep neural networks (DNNs). A common approach to address this…

机器学习 · 计算机科学 2025-01-24 Gaojie Jin , Sihao Wu , Jiaxu Liu , Tianjin Huang , Ronghui Mu

Deep generative models based on Generative Adversarial Networks (GANs) have demonstrated impressive sample quality but in order to work they require a careful choice of architecture, parameter initialization, and selection of…

机器学习 · 计算机科学 2017-11-08 Kevin Roth , Aurelien Lucchi , Sebastian Nowozin , Thomas Hofmann
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