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Unsupervised domain adaptation is used in many machine learning applications where, during training, a model has access to unlabeled data in the target domain, and a related labeled dataset. In this paper, we introduce a novel and general…

Machine Learning · Computer Science 2021-06-23 David Acuna , Guojun Zhang , Marc T. Law , Sanja Fidler

Adversarial training is one of the most effective approaches defending against adversarial examples for deep learning models. Unlike other defense strategies, adversarial training aims to promote the robustness of models intrinsically.…

Machine Learning · Computer Science 2021-04-22 Tao Bai , Jinqi Luo , Jun Zhao , Bihan Wen , Qian Wang

Machine learning techniques for the solution of inverse problems have become an attractive approach in the last decade, while their theoretical foundations are still in their infancy. In this chapter we want to pursue the study of…

Numerical Analysis · Mathematics 2025-12-10 Martin Burger , Samira Kabri , Gitta Kutyniok , Yunseok Lee , Lukas Weigand

As large-scale training regimes have gained popularity, the use of pretrained models for downstream tasks has become common practice in machine learning. While pretraining has been shown to enhance the performance of models in practice, the…

Machine Learning · Computer Science 2023-10-10 Laura Fee Nern , Harsh Raj , Maurice Georgi , Yash Sharma

Robustness to adversarial perturbations is of paramount concern in modern machine learning. One of the state-of-the-art methods for training robust classifiers is adversarial training, which involves minimizing a supremum-based surrogate…

Machine Learning · Computer Science 2023-05-18 Natalie S. Frank , Jonathan Niles-Weed

The pursuit of explaining and improving generalization in deep learning has elicited efforts both in regularization techniques as well as visualization techniques of the loss surface geometry. The latter is related to the intuition…

Machine Learning · Computer Science 2019-07-23 Vinay Uday Prabhu , Dian Ang Yap , Joyce Xu , John Whaley

We propose a general framework for increasing local stability of Artificial Neural Nets (ANNs) using Robust Optimization (RO). We achieve this through an alternating minimization-maximization procedure, in which the loss of the network is…

Machine Learning · Statistics 2018-05-07 Uri Shaham , Yutaro Yamada , Sahand Negahban

Adversarial training has been widely acknowledged as the most effective method to improve the adversarial robustness against adversarial examples for Deep Neural Networks (DNNs). So far, most existing works focus on enhancing the overall…

Machine Learning · Computer Science 2023-03-28 Zeming Wei , Yifei Wang , Yiwen Guo , Yisen Wang

We study the convergence of gradient flow for the training of deep neural networks. If Residual Neural Networks are a popular example of very deep architectures, their training constitutes a challenging optimization problem due notably to…

Machine Learning · Computer Science 2025-07-22 Raphaël Barboni , Gabriel Peyré , François-Xavier Vialard

Transfer-based attack adopts the adversarial examples generated on the surrogate model to attack various models, making it applicable in the physical world and attracting increasing interest. Recently, various adversarial attacks have…

Computer Vision and Pattern Recognition · Computer Science 2023-11-03 Zhijin Ge , Hongying Liu , Xiaosen Wang , Fanhua Shang , Yuanyuan Liu

It is well known that deep neural networks (DNNs) are vulnerable to adversarial attacks, which are implemented by adding crafted perturbations onto benign examples. Min-max robust optimization based adversarial training can provide a notion…

Computer Vision and Pattern Recognition · Computer Science 2021-06-23 Shaokai Ye , Kaidi Xu , Sijia Liu , Jan-Henrik Lambrechts , Huan Zhang , Aojun Zhou , Kaisheng Ma , Yanzhi Wang , Xue Lin

Adversarial training provides a principled approach for training robust neural networks. From an optimization perspective, adversarial training is essentially solving a bilevel optimization problem. The leader problem is trying to learn a…

Machine Learning · Computer Science 2021-05-04 Haoming Jiang , Zhehui Chen , Yuyang Shi , Bo Dai , Tuo Zhao

Adversarial pruning compresses models while preserving robustness. Current methods require access to adversarial examples during pruning. This significantly hampers training efficiency. Moreover, as new adversarial attacks and training…

Machine Learning · Computer Science 2022-10-11 Tong Jian , Zifeng Wang , Yanzhi Wang , Jennifer Dy , Stratis Ioannidis

Despite numerous attempts sought to provide empirical evidence of adversarial regularization outperforming sole supervision, the theoretical understanding of such phenomena remains elusive. In this study, we aim to resolve whether…

Machine Learning · Computer Science 2020-10-02 Litu Rout

We establish convergence results for a spatial semidiscretization of Mean Curvature Flow (MCF) for surfaces with fixed boundaries. Our analysis is based on Huisken's evolution equations for the mean curvature and the normal vector, enabling…

Numerical Analysis · Mathematics 2025-04-29 Bárbara Solange Ivaniszyn , Pedro Morin , M. Sebastián Pauletti

While deep neural networks have achieved remarkable success in various computer vision tasks, they often fail to generalize to new domains and subtle variations of input images. Several defenses have been proposed to improve the robustness…

Computer Vision and Pattern Recognition · Computer Science 2021-09-08 Omid Poursaeed , Tianxing Jiang , Harry Yang , Serge Belongie , SerNam Lim

Adversarial training is a popular method to robustify models against adversarial attacks. However, it exhibits much more severe overfitting than training on clean inputs. In this work, we investigate this phenomenon from the perspective of…

Machine Learning · Computer Science 2024-12-18 Chen Liu , Zhichao Huang , Mathieu Salzmann , Tong Zhang , Sabine Süsstrunk

Adversarial training tends to result in models that are less accurate on natural (unperturbed) examples compared to standard models. This can be attributed to either an algorithmic shortcoming or a fundamental property of the training data…

Machine Learning · Computer Science 2021-07-02 Alireza Mousavi Hosseini , Amir Mohammad Abouei , Mohammad Hossein Rohban

Adversarial training is among the most effective strategies for defending deep neural networks against adversarial examples. A key limitation of existing adversarial training approaches lies in their reliance on a fixed perturbation budget,…

Computer Vision and Pattern Recognition · Computer Science 2025-12-05 Alan Mitkiy , James Smith , Myungseo wong , Hana Satou , Hiroshi Tanaka , Emily Johnson

In recent years, there has been an explosion of research into developing more robust deep neural networks against adversarial examples. Adversarial training appears as one of the most successful methods. To deal with both the robustness…

Machine Learning · Computer Science 2023-03-21 Gaojie Jin , Xinping Yi , Dengyu Wu , Ronghui Mu , Xiaowei Huang