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Deep neural networks are easily fooled by small perturbations known as adversarial attacks. Adversarial Training (AT) is a technique that approximately solves a robust optimization problem to minimize the worst-case loss and is widely…

Machine Learning · Computer Science 2022-03-28 Theodoros Tsiligkaridis , Jay Roberts

Adversarial Training (AT) is crucial for obtaining deep neural networks that are robust to adversarial attacks, yet recent works found that it could also make models more vulnerable to privacy attacks. In this work, we further reveal this…

Machine Learning · Computer Science 2022-02-23 Jingyang Zhang , Yiran Chen , Hai Li

Adversarial training (AT) as a regularization method has proved its effectiveness on various tasks. Though there are successful applications of AT on some NLP tasks, the distinguishing characteristics of NLP tasks have not been exploited.…

Computation and Language · Computer Science 2021-11-29 Ziqing Yang , Yiming Cui , Chenglei Si , Wanxiang Che , Ting Liu , Shijin Wang , Guoping Hu

Small generalization errors of over-parameterized neural networks (NNs) can be partially explained by the frequency biasing phenomenon, where gradient-based algorithms minimize the low-frequency misfit before reducing the high-frequency…

Machine Learning · Computer Science 2022-09-27 Annan Yu , Yunan Yang , Alex Townsend

The vulnerability of deep neural networks (DNNs) to adversarial attack, which is an attack that can mislead state-of-the-art classifiers into making an incorrect classification with high confidence by deliberately perturbing the original…

Machine Learning · Computer Science 2021-06-18 Lina Wang , Rui Tang , Yawei Yue , Xingshu Chen , Wei Wang , Yi Zhu , Xuemei Zeng

As its width tends to infinity, a deep neural network's behavior under gradient descent can become simplified and predictable (e.g. given by the Neural Tangent Kernel (NTK)), if it is parametrized appropriately (e.g. the NTK…

Machine Learning · Computer Science 2022-07-18 Greg Yang , Edward J. Hu

Adversarial training, a method for learning robust deep neural networks, constructs adversarial examples during training. However, recent methods for generating NLP adversarial examples involve combinatorial search and expensive sentence…

Computation and Language · Computer Science 2021-09-14 Jin Yong Yoo , Yanjun Qi

The study of Neural Tangent Kernels (NTKs) in deep learning has drawn increasing attention in recent years. NTKs typically actively change during training and are related to feature learning. In parallel, recent work on Gradient Descent…

Machine Learning · Computer Science 2025-07-18 Kaiqi Jiang , Jeremy Cohen , Yuanzhi Li

Adversarial defenses train deep neural networks to be invariant to the input perturbations from adversarial attacks. Almost all defense strategies achieve this invariance through adversarial training i.e. training on inputs with adversarial…

Machine Learning · Computer Science 2021-08-30 Landan Seguin , Anthony Ndirango , Neeli Mishra , SueYeon Chung , Tyler Lee

Recent works have partly attributed the generalization ability of over-parameterized neural networks to frequency bias -- networks trained with gradient descent on data drawn from a uniform distribution find a low frequency fit before high…

Machine Learning · Computer Science 2020-03-11 Ronen Basri , Meirav Galun , Amnon Geifman , David Jacobs , Yoni Kasten , Shira Kritchman

Graph Convolutional Networks (GCNs) have emerged as powerful tools for learning on network structured data. Although empirically successful, GCNs exhibit certain behaviour that has no rigorous explanation -- for instance, the performance of…

Machine Learning · Computer Science 2023-11-07 Mahalakshmi Sabanayagam , Pascal Esser , Debarghya Ghoshdastidar

Adversarial training, in which a network is trained on both adversarial and clean examples, is one of the most trusted defense methods against adversarial attacks. However, there are three major practical difficulties in implementing and…

Machine Learning · Computer Science 2019-10-11 Shixian Wen , Laurent Itti

The ability of learning useful features is one of the major advantages of neural networks. Although recent works show that neural network can operate in a neural tangent kernel (NTK) regime that does not allow feature learning, many works…

Machine Learning · Computer Science 2024-11-06 Mo Zhou , Rong Ge

Recent works have shown that self-supervised learning can achieve remarkable robustness when integrated with adversarial training (AT). However, the robustness gap between supervised AT (sup-AT) and self-supervised AT (self-AT) remains…

Machine Learning · Computer Science 2023-03-06 Rundong Luo , Yifei Wang , Yisen Wang

Neural networks are vulnerable to adversarial attacks -- small visually imperceptible crafted noise which when added to the input drastically changes the output. The most effective method of defending against these adversarial attacks is to…

Recent work by Jacot et al. (2018) has shown that training a neural network using gradient descent in parameter space is related to kernel gradient descent in function space with respect to the Neural Tangent Kernel (NTK). Lee et al. (2019)…

Machine Learning · Statistics 2022-05-26 Soufiane Hayou , Arnaud Doucet , Judith Rousseau

Adversarial training (AT) methods have been found to be effective against adversarial attacks on deep neural networks. Many variants of AT have been proposed to improve its performance. Pang et al. [1] have recently shown that incorporating…

Machine Learning · Computer Science 2023-03-16 Olukorede Fakorede , Ashutosh Nirala , Modeste Atsague , Jin Tian

Convolutional Neural Networks (CNNs) are now a well-established tool for solving computational imaging problems. Modern CNN-based algorithms obtain state-of-the-art performance in diverse image restoration problems. Furthermore, it has been…

Computer Vision and Pattern Recognition · Computer Science 2024-10-22 Julián Tachella , Junqi Tang , Mike Davies

Convolutional neural networks (CNNs) have achieved beyond human-level accuracy in the image classification task and are widely deployed in real-world environments. However, CNNs show vulnerability to adversarial perturbations that are…

Computer Vision and Pattern Recognition · Computer Science 2021-03-09 Desheng Wang , Weidong Jin , Yunpu Wu , Aamir Khan

We establish explicit dynamics for neural networks whose training objective has a regularising term that constrains the parameters to remain close to their initial value. This keeps the network in a lazy training regime, where the dynamics…

Machine Learning · Statistics 2023-12-21 Eugenio Clerico , Benjamin Guedj