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Adaptive gradient algorithms perform gradient-based updates using the history of gradients and are ubiquitous in training deep neural networks. While adaptive gradient methods theory is well understood for minimization problems, the…

Optimization and Control · Mathematics 2020-12-29 Mingrui Liu , Youssef Mroueh , Jerret Ross , Wei Zhang , Xiaodong Cui , Payel Das , Tianbao Yang

Adversarial robustness has become a fundamental requirement in modern machine learning applications. Yet, there has been surprisingly little statistical understanding so far. In this paper, we provide the first result of the optimal minimax…

Machine Learning · Statistics 2020-07-01 Chen Dan , Yuting Wei , Pradeep Ravikumar

Consider the problem of simultaneous estimation of location and variance matrix under Huber's contaminated Gaussian model. First, we study minimum $f$-divergence estimation at the population level, corresponding to a generative adversarial…

Statistics Theory · Mathematics 2022-08-09 Ziyue Wang , Zhiqiang Tan

Adversarial Training (AT) and Virtual Adversarial Training (VAT) are the regularization techniques that train Deep Neural Networks (DNNs) with adversarial examples generated by adding small but worst-case perturbations to input examples. In…

Machine Learning · Computer Science 2020-06-24 Xiulong Yang , Shihao Ji

This paper introduces a min-max optimization formulation for the Graph Signal Denoising (GSD) problem. In this formulation, we first maximize the second term of GSD by introducing perturbations to the graph structure based on Laplacian…

Machine Learning · Computer Science 2024-06-05 Songtao Liu , Jinghui Chen , Tianfan Fu , Lu Lin , Marinka Zitnik , Dinghao Wu

Generative adversarial imitation learning (GAIL) demonstrates tremendous success in practice, especially when combined with neural networks. Different from reinforcement learning, GAIL learns both policy and reward function from expert…

Machine Learning · Computer Science 2020-06-26 Yufeng Zhang , Qi Cai , Zhuoran Yang , Zhaoran Wang

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…

Machine Learning · Computer Science 2022-06-17 Harsh Rangwani , Sumukh K Aithal , Mayank Mishra , Arihant Jain , R. Venkatesh Babu

Generative Adversarial Networks (GANs) are the most popular image generation models that have achieved remarkable progress on various computer vision tasks. However, training instability is still one of the open problems for all GAN-based…

Image and Video Processing · Electrical Eng. & Systems 2022-07-20 Ziqiang Li , Pengfei Xia , Rentuo Tao , Hongjing Niu , Bin Li

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…

Machine Learning · Computer Science 2024-10-28 Shudian Zhao , Jan Kronqvist

Adversarial training can be used to learn models that are robust against perturbations. For linear models, it can be formulated as a convex optimization problem. Compared to methods proposed in the context of deep learning, leveraging the…

Machine Learning · Statistics 2025-03-20 Antônio H. RIbeiro , Thomas B. Schön , Dave Zahariah , Francis Bach

Adversarial training is an effective but time-consuming way to train robust deep neural networks that can withstand strong adversarial attacks. As a response to its inefficiency, we propose Dynamic Efficient Adversarial Training (DEAT),…

Machine Learning · Computer Science 2023-03-15 Fu Wang , Yanghao Zhang , Yanbin Zheng , Wenjie Ruan

We introduce adversarial learning methods for data-driven generative modeling of the dynamics of $n^{th}$-order stochastic systems. Our approach builds on Generative Adversarial Networks (GANs) with generative model classes based on stable…

Machine Learning · Computer Science 2023-02-08 Panos Stinis , Constantinos Daskalakis , Paul J. Atzberger

Generative adversarial networks (GANs) form a generative modeling approach known for producing appealing samples, but they are notably difficult to train. One common way to tackle this issue has been to propose new formulations of the GAN…

Machine Learning · Computer Science 2020-09-01 Gauthier Gidel , Hugo Berard , Gaëtan Vignoud , Pascal Vincent , Simon Lacoste-Julien

Sensitivity to adversarial noise hinders deployment of machine learning algorithms in security-critical applications. Although many adversarial defenses have been proposed, robustness to adversarial noise remains an open problem. The most…

Machine Learning · Computer Science 2020-08-13 Alex Serban , Erik Poll , Joost Visser

In recent years, neural networks have demonstrated outstanding effectiveness in a large amount of applications.However, recent works have shown that neural networks are susceptible to adversarial examples, indicating possible flaws…

Machine Learning · Computer Science 2018-06-08 Fuxun Yu , Zirui Xu , Yanzhi Wang , Chenchen Liu , Xiang Chen

Adversarial Training (AT) is proposed to alleviate the adversarial vulnerability of machine learning models by extracting only robust features from the input, which, however, inevitably leads to severe accuracy reduction as it discards the…

Machine Learning · Statistics 2020-07-06 Yifei Wang , Dan Peng , Furui Liu , Zhenguo Li , Zhitang Chen , Jiansheng Yang

Decision Transformer (DT), as one of the representative Reinforcement Learning via Supervised Learning (RvS) methods, has achieved strong performance in offline learning tasks by leveraging the powerful Transformer architecture for…

Machine Learning · Computer Science 2024-11-04 Xiaohang Tang , Afonso Marques , Parameswaran Kamalaruban , Ilija Bogunovic

Adversarial training is an effective approach to make deep neural networks robust against adversarial attacks. Recently, different adversarial training defenses are proposed that not only maintain a high clean accuracy but also show…

Machine Learning · Computer Science 2023-01-02 Muzammal Naseer , Salman Khan , Fatih Porikli , Fahad Shahbaz Khan

In differentiable neural architecture search (NAS) algorithms like DARTS, the training set used to update model weight and the validation set used to update model architectures are sampled from the same data distribution. Thus, the uncommon…

Machine Learning · Computer Science 2021-12-02 Ruisi Zhang , Youwei Liang , Sai Ashish Somayajula , Pengtao Xie

Deep neural networks (DNNs) are vulnerable to adversarial examples crafted by well-designed perturbations. This could lead to disastrous results on critical applications such as self-driving cars, surveillance security, and medical…

Computer Vision and Pattern Recognition · Computer Science 2023-10-24 Yaguan Qian , Chenyu Zhao , Zhaoquan Gu , Bin Wang , Shouling Ji , Wei Wang , Boyang Zhou , Pan Zhou
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