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We develop a new boundary condition for the weak inverse mean curvature flow, which gives canonical and non-trivial solutions in bounded domains. Roughly speaking, the boundary of the domain serves as an outer obstacle, and the evolving…

微分几何 · 数学 2025-02-10 Kai Xu

Despite being widely adopted as a canonical framework for learning robust models, adversarial training suffers from robust overfitting. Existing empirical measures and theoretical explorations are insufficient to provide satisfying…

机器学习 · 计算机科学 2026-03-10 Yuelin Xu , Xiao Zhang

In adversarial machine learning, neural networks suffer from a significant issue known as robust overfitting, where the robust test accuracy decreases over epochs (Rice et al., 2020). Recent research conducted by Xing et al.,2021; Xiao et…

机器学习 · 计算机科学 2024-05-06 Jiancong Xiao , Jiawei Zhang , Zhi-Quan Luo , Asuman Ozdaglar

This work investigates adversarial training in the context of margin-based linear classifiers in the high-dimensional regime where the dimension $d$ and the number of data points $n$ diverge with a fixed ratio $\alpha = n / d$. We introduce…

机器学习 · 统计学 2026-01-13 Kasimir Tanner , Matteo Vilucchio , Bruno Loureiro , Florent Krzakala

Adversarial training is one of the most effective defenses against adversarial attacks. Previous works suggest that overfitting is a dominant phenomenon in adversarial training leading to a large generalization gap between test and train…

机器学习 · 计算机科学 2021-08-20 Vasu Singla , Sahil Singla , David Jacobs , Soheil Feizi

Deep neural network classifiers suffer from adversarial vulnerability: well-crafted, unnoticeable changes to the input data can affect the classifier decision. In this regard, the study of powerful adversarial attacks can help shed light on…

机器学习 · 计算机科学 2020-07-07 Hadi M. Dolatabadi , Sarah Erfani , Christopher Leckie

The highly non-linear nature of deep neural networks causes them to be susceptible to adversarial examples and have unstable gradients which hinders interpretability. However, existing methods to solve these issues, such as adversarial…

机器学习 · 计算机科学 2023-01-11 Suraj Srinivas , Kyle Matoba , Himabindu Lakkaraju , Francois Fleuret

We study adversarial robustness of neural networks from a margin maximization perspective, where margins are defined as the distances from inputs to a classifier's decision boundary. Our study shows that maximizing margins can be achieved…

机器学习 · 计算机科学 2020-03-06 Gavin Weiguang Ding , Yash Sharma , Kry Yik Chau Lui , Ruitong Huang

In this paper, we present a novel nonlinear programming-based approach to fine-tune pre-trained neural networks to improve robustness against adversarial attacks while maintaining high accuracy on clean data. Our method introduces…

机器学习 · 计算机科学 2024-10-28 Shudian Zhao , Jan Kronqvist

Despite the effectiveness in improving the robustness of neural networks, adversarial training has suffered from the natural accuracy degradation problem, i.e., accuracy on natural samples has reduced significantly. In this study, we reveal…

计算机视觉与模式识别 · 计算机科学 2024-08-20 Xiaoyue Mi , Fan Tang , Yepeng Weng , Danding Wang , Juan Cao , Sheng Tang , Peng Li , Yang Liu

Despite strong performance in numerous applications, the fragility of deep learning to input perturbations has raised serious questions about its use in safety-critical domains. While adversarial training can mitigate this issue in…

One prominent approach toward resolving the adversarial vulnerability of deep neural networks is the two-player zero-sum paradigm of adversarial training, in which predictors are trained against adversarially chosen perturbations of data.…

机器学习 · 计算机科学 2024-03-20 Alexander Robey , Fabian Latorre , George J. Pappas , Hamed Hassani , Volkan Cevher

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…

机器学习 · 计算机科学 2019-10-11 Shixian Wen , Laurent Itti

While adversarial training methods have significantly improved the robustness of deep neural networks against norm-bounded adversarial perturbations, the generalization gap between their performance on training and test data is considerably…

机器学习 · 计算机科学 2025-01-08 Xiwei Cheng , Kexin Fu , Farzan Farnia

Recently, substantial progress has been made in language modeling by using deep neural networks. However, in practice, large scale neural language models have been shown to be prone to overfitting. In this paper, we present a simple yet…

机器学习 · 计算机科学 2019-09-10 Dilin Wang , Chengyue Gong , Qiang Liu

A central concern in classification is the vulnerability of machine learning models to adversarial attacks. Adversarial training is one of the most popular techniques for training robust classifiers, which involves minimizing an adversarial…

机器学习 · 计算机科学 2025-10-09 Natalie S. Frank

Adversarial training, which is to enhance robustness against adversarial attacks, has received much attention because it is easy to generate human-imperceptible perturbations of data to deceive a given deep neural network. In this paper, we…

机器学习 · 统计学 2023-06-02 Dongyoon Yang , Insung Kong , Yongdai Kim

We address in this paper the study of a geometric evolution, corresponding to a curvature which is non-local and singular at the origin. The curvature represents the first variation of the energy recently proposed as a variant of the…

偏微分方程分析 · 数学 2012-01-26 Antonin Chambolle , Massimiliano Morini , Marcello Ponsiglione

Flow matching has emerged as a powerful framework for generative modeling, with recent empirical successes highlighting the effectiveness of signal-space prediction ($x$-prediction). In this work, we investigate the transfer of this…

机器学习 · 计算机科学 2026-05-05 Jiadong Hong , Lei Liu , Xinyu Bian , Wenjie Wang , Zhaoyang Zhang

Standard adversarial training approaches suffer from robust overfitting where the robust accuracy decreases when models are adversarially trained for too long. The origin of this problem is still unclear and conflicting explanations have…

机器学习 · 计算机科学 2022-11-28 Muhammad Zaid Hameed , Beat Buesser