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Deep neural networks are capable of training fast and generalizing well within many domains. Despite their promising performance, deep networks have shown sensitivities to perturbations of their inputs (e.g., adversarial examples) and their…

机器学习 · 计算机科学 2020-07-09 Justin Goodwin , Olivia Brown , Victoria Helus

In this work, we provide a characterization of the feature-learning process in two-layer ReLU networks trained by gradient descent on the logistic loss following random initialization. We consider data with binary labels that are generated…

机器学习 · 计算机科学 2023-09-15 Spencer Frei , Niladri S. Chatterji , Peter L. Bartlett

A fairly comprehensive analysis is presented for the gradient descent dynamics for training two-layer neural network models in the situation when the parameters in both layers are updated. General initialization schemes as well as general…

机器学习 · 计算机科学 2020-02-27 Weinan E , Chao Ma , Lei Wu

Despite remarkable achievements in deep learning across various domains, its inherent vulnerability to adversarial examples still remains a critical concern for practical deployment. Adversarial training has emerged as one of the most…

机器学习 · 计算机科学 2024-11-06 Junhao Dong , Xinghua Qu , Z. Jane Wang , Yew-Soon Ong

This paper is motivated by an open problem around deep networks, namely, the apparent absence of over-fitting despite large over-parametrization which allows perfect fitting of the training data. In this paper, we analyze this phenomenon in…

机器学习 · 计算机科学 2019-08-28 Hrushikesh Mhaskar , Tomaso Poggio

Despite the remarkable progress of deep neural networks (DNNs) in various visual tasks, their vulnerability to adversarial examples raises significant security concerns. Recent adversarial training methods leverage inverse adversarial…

计算机视觉与模式识别 · 计算机科学 2025-07-10 Kejia Zhang , Juanjuan Weng , Shaozi Li , Zhiming Luo

Pre-training is known to generate universal representations for downstream tasks in large-scale deep learning such as large language models. Existing literature, e.g., \cite{kim2020adversarial}, empirically observe that the downstream tasks…

机器学习 · 计算机科学 2024-01-30 Yue Xing , Xiaofeng Lin , Qifan Song , Yi Xu , Belinda Zeng , Guang Cheng

Adversarial training has been proposed to protect machine learning models against adversarial attacks. This paper focuses on adversarial training under $\ell_\infty$-perturbation, which has recently attracted much research attention. The…

统计理论 · 数学 2025-03-04 Yiling Xie , Xiaoming Huo

We study the problem of learning an unknown function using random feature models. Our main contribution is an exact asymptotic analysis of such learning problems with Gaussian data. Under mild regularity conditions for the feature matrix,…

信息论 · 计算机科学 2020-08-28 Oussama Dhifallah , Yue M. Lu

Neural operators have emerged as fast surrogate models for physics simulations, yet they remain acutely vulnerable to adversarial perturbations, a critical liability for safety-critical digital twin deployments. We present a synergistic…

机器学习 · 计算机科学 2026-04-16 Samrendra Roy , Souvik Chakraborty , Syed Bahauddin Alam

We study dropout in two-layer neural networks with rectified linear unit (ReLU) activations. Under mild overparametrization and assuming that the limiting kernel can separate the data distribution with a positive margin, we show that…

机器学习 · 计算机科学 2020-10-27 Poorya Mianjy , Raman Arora

Domain adversarial training has been ubiquitous for achieving invariant representations and is used widely for various domain adaptation tasks. In recent times, methods converging to smooth optima have shown improved generalization for…

机器学习 · 计算机科学 2022-06-17 Harsh Rangwani , Sumukh K Aithal , Mayank Mishra , Arihant Jain , R. Venkatesh Babu

Current SOTA adversarially robust models are mostly based on adversarial training (AT) and differ only by some regularizers either at inner maximization or outer minimization steps. Being repetitive in nature during the inner maximization…

机器学习 · 计算机科学 2021-11-02 Anindya Sarkar , Anirban Sarkar , Sowrya Gali , Vineeth N Balasubramanian

Adversarial Training (AT) is a widely adopted defense against adversarial examples. However, existing approaches typically apply a uniform training objective across all classes, overlooking disparities in class-wise vulnerability. This…

机器学习 · 计算机科学 2025-07-11 Tejaswini Medi , Steffen Jung , Margret Keuper

Skeleton-based action recognition models have recently been shown to be vulnerable to adversarial attacks. Compared to adversarial attacks on images, perturbations to skeletons are typically bounded to a lower dimension of approximately 100…

计算机视觉与模式识别 · 计算机科学 2022-03-28 Nariki Tanaka , Hiroshi Kera , Kazuhiko Kawamoto

Adversarial examples are carefully perturbed in-puts for fooling machine learning models. A well-acknowledged defense method against such examples is adversarial training, where adversarial examples are injected into training data to…

机器学习 · 计算机科学 2019-05-17 Bai Li , Changyou Chen , Wenlin Wang , Lawrence Carin

While adversarial training and its variants have shown to be the most effective algorithms to defend against adversarial attacks, their extremely slow training process makes it hard to scale to large datasets like ImageNet. The key idea of…

机器学习 · 计算机科学 2022-06-07 Zhichao Huang , Yanbo Fan , Chen Liu , Weizhong Zhang , Yong Zhang , Mathieu Salzmann , Sabine Süsstrunk , Jue Wang

State-of-the-art machine learning models can be vulnerable to very small input perturbations that are adversarially constructed. Adversarial training is an effective approach to defend against such examples. It is formulated as a min-max…

机器学习 · 统计学 2022-10-21 Antônio H. Ribeiro , Dave Zachariah , Thomas B. Schön

Single-step adversarial training (AT) has received wide attention as it proved to be both efficient and robust. However, a serious problem of catastrophic overfitting exists, i.e., the robust accuracy against projected gradient descent…

机器学习 · 计算机科学 2022-03-23 Tao Li , Yingwen Wu , Sizhe Chen , Kun Fang , Xiaolin Huang

Deep neural networks are susceptible to adversarial attacks, which can compromise their performance and accuracy. Adversarial Training (AT) has emerged as a popular approach for protecting neural networks against such attacks. However, a…

机器学习 · 计算机科学 2024-02-20 Vijaya Raghavan T Ramkumar , Bahram Zonooz , Elahe Arani
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