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We provide a formula linking the radial subderivative to other subderivatives and subdifferentials for arbitrary extended real-valued lower semicontinuous functions.

Optimization and Control · Mathematics 2017-03-07 Marc Lassonde

Transfer learning aims to leverage models pre-trained on source data to efficiently adapt to target setting, where only limited data are available for model fine-tuning. Recent works empirically demonstrate that adversarial training in the…

Machine Learning · Computer Science 2021-06-21 Zhun Deng , Linjun Zhang , Kailas Vodrahalli , Kenji Kawaguchi , James Zou

Adversarial training has emerged as a highly effective way to improve the robustness of deep neural networks (DNNs). It is typically conceptualized as a min-max optimization problem over model weights and adversarial perturbations, where…

Machine Learning · Computer Science 2026-03-03 Gaojie Jin , Xinping Yi , Wei Huang , Sven Schewe , Xiaowei Huang

We investigate adversarial learning in the case when only an unnormalized form of the density can be accessed, rather than samples. With insights so garnered, adversarial learning is extended to the case for which one has access to an…

Machine Learning · Computer Science 2019-01-04 Chunyuan Li , Ke Bai , Jianqiao Li , Guoyin Wang , Changyou Chen , Lawrence Carin

Several techniques for domain adaptation have been proposed to account for differences in the distribution of the data used for training and testing. The majority of this work focuses on a binary domain label. Similar problems occur in a…

Machine Learning · Statistics 2020-02-18 Gilles Louppe , Michael Kagan , Kyle Cranmer

Quantum classifiers are vulnerable to adversarial attacks that manipulate their input classical or quantum data. A promising countermeasure is adversarial training, where quantum classifiers are trained by using an attack-aware, adversarial…

Quantum Physics · Physics 2025-04-25 Petros Georgiou , Aaron Mark Thomas , Sharu Theresa Jose , Osvaldo Simeone

We propose a principled framework that combines adversarial training and provable robustness verification for training certifiably robust neural networks. We formulate the training problem as a joint optimization problem with both empirical…

Machine Learning · Computer Science 2021-06-08 Jiameng Fan , Wenchao Li

Current neural-network-based classifiers are susceptible to adversarial examples. The most empirically successful approach to defending against such adversarial examples is adversarial training, which incorporates a strong self-attack…

Machine Learning · Computer Science 2020-06-08 Bai Li , Shiqi Wang , Suman Jana , Lawrence Carin

Multi-class text classification is one of the key problems in machine learning and natural language processing. Emerging neural networks deal with the problem using a multi-output softmax layer and achieve substantial progress, but they do…

Computation and Language · Computer Science 2020-03-26 Haiyang Xu , Junwen Chen , Kun Han , Xiangang Li

Recently, the training with adversarial examples, which are generated by adding a small but worst-case perturbation on input examples, has been proved to improve generalization performance of neural networks. In contrast to the individually…

Machine Learning · Computer Science 2017-09-19 Sungrae Park , Jun-Keon Park , Su-Jin Shin , Il-Chul Moon

Adversarial training is one of the most popular methods for training methods robust to adversarial attacks, however, it is not well-understood from a theoretical perspective. We prove and existence, regularity, and minimax theorems for…

Machine Learning · Computer Science 2025-10-09 Natalie S. Frank , Jonathan Niles-Weed

(Non-)robustness of neural networks to small, adversarial pixel-wise perturbations, and as more recently shown, to even random spatial transformations (e.g., translations, rotations) entreats both theoretical and empirical understanding.…

Machine Learning · Computer Science 2021-11-11 Sandesh Kamath , Amit Deshpande , K V Subrahmanyam , Vineeth N Balasubramanian

Deep networks are well-known to be fragile to adversarial attacks, and adversarial training is one of the most popular methods used to train a robust model. To take advantage of unlabeled data, recent works have applied adversarial training…

Machine Learning · Computer Science 2023-02-22 Xin Zou , Weiwei Liu

Adversarial representation learning is a promising paradigm for obtaining data representations that are invariant to certain sensitive attributes while retaining the information necessary for predicting target attributes. Existing…

Machine Learning · Computer Science 2019-12-30 Bashir Sadeghi , Runyi Yu , Vishnu Naresh Boddeti

Adversarial training is an effective method to boost model robustness to malicious, adversarial attacks. However, such improvement in model robustness often leads to a significant sacrifice of standard performance on clean images. In many…

Machine Learning · Computer Science 2022-04-29 Pengyue Hou , Ming Zhou , Jie Han , Petr Musilek , Xingyu Li

Appearance changes due to weather and seasonal conditions represent a strong impediment to the robust implementation of machine learning systems in outdoor robotics. While supervised learning optimises a model for the training domain, it…

Robotics · Computer Science 2017-09-19 Markus Wulfmeier , Alex Bewley , Ingmar Posner

Recent works have demonstrated convolutional neural networks are vulnerable to adversarial examples, i.e., inputs to machine learning models that an attacker has intentionally designed to cause the models to make a mistake. To improve the…

Computer Vision and Pattern Recognition · Computer Science 2020-05-12 Xianxu Hou , Jingxin Liu , Bolei Xu , Xiaolong Wang , Bozhi Liu , Guoping Qiu

The burgeoning success of deep learning has raised the security and privacy concerns as more and more tasks are accompanied with sensitive data. Adversarial attacks in deep learning have emerged as one of the dominating security threat to a…

Machine Learning · Computer Science 2019-01-01 Wenqi Wei , Ling Liu , Margaret Loper , Stacey Truex , Lei Yu , Mehmet Emre Gursoy , Yanzhao Wu

Contrastive learning is among the most popular and powerful approaches for self-supervised representation learning, where the goal is to map semantically similar samples close together while separating dissimilar ones in the latent space.…

Machine Learning · Statistics 2025-12-03 Ali Alvandi , Mina Rezaei

Despite a great deal of research, it is still not well-understood why trained neural networks are highly vulnerable to adversarial examples. In this work we focus on two-layer neural networks trained using data which lie on a low…

Machine Learning · Computer Science 2023-11-17 Odelia Melamed , Gilad Yehudai , Gal Vardi
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