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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

Adversarial training (AT) is a regularization method that can be used to improve the robustness of neural network methods by adding small perturbations in the training data. We show how to use AT for the tasks of entity recognition and…

计算与语言 · 计算机科学 2019-01-15 Giannis Bekoulis , Johannes Deleu , Thomas Demeester , Chris Develder

Stochastic gradient descent (SGD) is a widely used algorithm in machine learning, particularly for neural network training. Recent studies on SGD for canonical quadratic optimization or linear regression show it attains well generalization…

机器学习 · 计算机科学 2024-09-17 Haihan Zhang , Yuanshi Liu , Qianwen Chen , Cong Fang

Gradient descent (GD) methods for the training of artificial neural networks (ANNs) belong nowadays to the most heavily employed computational schemes in the digital world. Despite the compelling success of such methods, it remains an open…

最优化与控制 · 数学 2025-09-01 Shokhrukh Ibragimov , Arnulf Jentzen , Adrian Riekert

Adversarial Training (AT) is a cornerstone defense, but many variants overlook foundational feature representations by primarily focusing on stronger attack generation. We introduce Adversarial Evolution Training (AET), a simple yet…

机器学习 · 计算机科学 2025-10-14 Wang Yu-Hang , Liu ying , Fang liang , Wang Xuelin , Junkang Guo , Shiwei Li , Lei Gao , Jian Liu , Wenfei Yin

High cost of training time caused by multi-step adversarial example generation is a major challenge in adversarial training. Previous methods try to reduce the computational burden of adversarial training using single-step adversarial…

机器学习 · 计算机科学 2021-02-09 Lehui Xie , Yaopeng Wang , Jia-Li Yin , Ximeng Liu

Deep neural networks are easily fooled by small perturbations known as adversarial attacks. Adversarial Training (AT) is a technique aimed at learning features robust to such attacks and is widely regarded as a very effective defense.…

机器学习 · 计算机科学 2020-09-11 Theodoros Tsiligkaridis , Jay Roberts

To protect deep neural networks (DNNs) from adversarial attacks, adversarial training (AT) is developed by incorporating adversarial examples (AEs) into model training. Recent studies show that adversarial attacks disproportionately impact…

机器学习 · 计算机科学 2024-10-17 Fengpeng Li , Kemou Li , Haiwei Wu , Jinyu Tian , Jiantao Zhou

Min-max saddle point games have recently been intensely studied, due to their wide range of applications, including training Generative Adversarial Networks (GANs). However, most of the recent efforts for solving them are limited to special…

最优化与控制 · 数学 2021-08-10 Babak Barazandeh , Tianjian Huang , George Michailidis

Adversarial training (AT) is an important and attractive topic in deep learning security, exhibiting mysteries and odd properties. Recent studies of neural network training dynamics based on Neural Tangent Kernel (NTK) make it possible to…

机器学习 · 计算机科学 2023-12-06 Guanlin Li , Han Qiu , Shangwei Guo , Jiwei Li , Tianwei Zhang

Despite the fact that adversarial training has become the de facto method for improving the robustness of deep neural networks, it is well-known that vanilla adversarial training suffers from daunting robust overfitting, resulting in…

机器学习 · 计算机科学 2024-02-06 Tianjin Huang , Shiwei Liu , Tianlong Chen , Meng Fang , Li Shen , Vlaod Menkovski , Lu Yin , Yulong Pei , Mykola Pechenizkiy

PGD-based and FGSM-based are two popular adversarial training (AT) approaches for obtaining adversarially robust models. Compared with PGD-based AT, FGSM-based one is significantly faster but fails with catastrophic overfitting (CO). For…

机器学习 · 计算机科学 2022-10-06 Axi Niu , Kang Zhang , Chaoning Zhang , Chenshuang Zhang , In So Kweon , Chang D. Yoo , Yanning Zhang

A variety of widely used optimization methods like SignSGD and Muon can be interpreted as instances of steepest descent under different norm-induced geometries. In this work, we study the implicit bias of mini-batch stochastic steepest…

机器学习 · 计算机科学 2026-02-13 Jichu Li , Xuan Tang , Difan Zou

The performance of gradient-based optimization methods, such as standard gradient descent (GD), greatly depends on the choice of learning rate. However, it can require a non-trivial amount of user tuning effort to select an appropriate…

机器学习 · 计算机科学 2025-10-14 Nikola Surjanovic , Alexandre Bouchard-Côté , Trevor Campbell

We propose a first-order method for solving inequality constrained optimization problems. The method is derived from our previous work [12], a modified search direction method (MSDM) that applies the singular-value decomposition of…

最优化与控制 · 数学 2020-03-12 Long Chen , Wenyi Chen , Kai-Uwe Bletzinger

Stochastic gradient descent (SGD) is a premium optimization method for training neural networks, especially for learning objectively defined labels such as image objects and events. When a neural network is instead faced with subjectively…

神经与进化计算 · 计算机科学 2022-04-15 Kosmas Pinitas , Konstantinos Makantasis , Antonios Liapis , Georgios N. Yannakakis

Stochastic gradient descent (SGD) optimization methods are nowadays the method of choice for the training of deep neural networks (DNNs) in artificial intelligence systems. In practically relevant training problems, usually not the plain…

最优化与控制 · 数学 2024-08-01 Steffen Dereich , Arnulf Jentzen

One of the training strategies of generative models is to minimize the Jensen--Shannon divergence between the model distribution and the data distribution. Since data distribution is unknown, generative adversarial networks (GANs) formulate…

机器学习 · 计算机科学 2023-02-22 Hiroki Naganuma , Hideaki Iiduka

We propose a second order gradient based method with ADAM and RMSprop for the training of generative adversarial networks. The proposed method is fastest to obtain similar accuracy when compared to prominent second order methods. Unlike…

机器学习 · 计算机科学 2023-04-21 Sachin Kumar Danisetty , Santhosh Reddy Mylaram , Pawan Kumar

Recent work has explored integrating autoregressive language models with energy-based models (EBMs) to enhance text generation capabilities. However, learning effective EBMs for text is challenged by the discrete nature of language. This…

计算与语言 · 计算机科学 2023-11-14 Xuwang Yin