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By reinterpreting a robust discriminative classifier as Energy-based Model (EBM), we offer a new take on the dynamics of adversarial training (AT). Our analysis of the energy landscape during AT reveals that untargeted attacks generate…

Computer Vision and Pattern Recognition · Computer Science 2024-09-11 Mujtaba Hussain Mirza , Maria Rosaria Briglia , Senad Beadini , Iacopo Masi

We offer a study that connects robust discriminative classifiers trained with adversarial training (AT) with generative modeling in the form of Energy-based Models (EBM). We do so by decomposing the loss of a discriminative classifier and…

Machine Learning · Computer Science 2023-06-06 Senad Beadini , Iacopo Masi

We study a new approach to learning energy-based models (EBMs) based on adversarial training (AT). We show that (binary) AT learns a special kind of energy function that models the support of the data distribution, and the learning process…

Machine Learning · Computer Science 2022-12-29 Xuwang Yin , Shiying Li , Gustavo K. Rohde

Adversarial Training (AT) is known as an effective approach to enhance the robustness of deep neural networks. Recently researchers notice that robust models with AT have good generative ability and can synthesize realistic images, while…

Machine Learning · Computer Science 2022-03-28 Yifei Wang , Yisen Wang , Jiansheng Yang , Zhouchen Lin

Simultaneously achieving robust classification and high-fidelity generative modeling within a single framework presents a significant challenge. Hybrid approaches, such as Joint Energy-Based Models (JEM), interpret classifiers as EBMs but…

Machine Learning · Computer Science 2026-03-19 Xuwang Yin , Claire Zhang , Julie Steele , Nir Shavit , Tony T. Wang

Joint Energy-based Models (JEMs) are well known for their ability to unify classification and generation within a single framework. Despite their promising generative and discriminative performance, their robustness remains far inferior to…

Machine Learning · Computer Science 2026-03-13 Kaichao Jiang , He Wang , Xiaoshuai Hao , Xiulong Yang , Ajian Liu , Qi Chu , Yunfeng Diao , Richang Hong

Adversarial training (AT) constructs robust neural networks by incorporating adversarial perturbations into natural data. However, it is plagued by the issue of robust overfitting (RO), which severely damages the model's robustness. In this…

Machine Learning · Computer Science 2024-07-30 Chaojian Yu , Xiaolong Shi , Jun Yu , Bo Han , Tongliang Liu

We propose the novel framework for generative modelling using hybrid energy-based models. In our method we combine the interpretable input gradients of the robust classifier and Langevin Dynamics for sampling. Using the adversarial training…

Machine Learning · Computer Science 2022-07-20 Rostislav Korst , Arip Asadulaev

Recently, some works found an interesting phenomenon that adversarially robust classifiers can generate good images comparable to generative models. We investigate this phenomenon from an energy perspective and provide a novel explanation.…

Machine Learning · Computer Science 2021-09-15 Yao Zhu , Jiacheng Ma , Jiacheng Sun , Zewei Chen , Rongxin Jiang , Zhenguo Li

We study the model robustness against adversarial examples, referred to as small perturbed input data that may however fool many state-of-the-art deep learning models. Unlike previous research, we establish a novel theory addressing the…

Machine Learning · Computer Science 2020-06-11 Shufei Zhang , Kaizhu Huang , Zenglin Xu

Deep neural networks (DNNs) are easily fooled by adversarial perturbations that are imperceptible to humans. Adversarial training, a process where adversarial examples are added to the training set, is the current state-of-the-art defense…

Machine Learning · Computer Science 2024-01-23 Siddharth Mansingh , Michal Kucer , Garrett Kenyon , Juston Moore , Michael Teti

The vulnerability of deep networks to adversarial attacks is a central problem for deep learning from the perspective of both cognition and security. The current most successful defense method is to train a classifier using adversarial…

Machine Learning · Statistics 2021-03-22 Mitch Hill , Jonathan Mitchell , Song-Chun Zhu

Adversarial training is widely used to improve the robustness of deep neural networks to adversarial attack. However, adversarial training is prone to overfitting, and the cause is far from clear. This work sheds light on the mechanisms…

Machine Learning · Computer Science 2022-12-12 Lin Li , Michael Spratling

Generative models have shown strong generation ability while efficient likelihood estimation is less explored. Energy-based models~(EBMs) define a flexible energy function to parameterize unnormalized densities efficiently but are notorious…

Machine Learning · Computer Science 2024-06-11 Cong Geng , Tian Han , Peng-Tao Jiang , Hao Zhang , Jinwei Chen , Søren Hauberg , Bo Li

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…

Machine Learning · Computer Science 2025-10-14 Wang Yu-Hang , Liu ying , Fang liang , Wang Xuelin , Junkang Guo , Shiwei Li , Lei Gao , Jian Liu , Wenfei Yin

Single-step adversarial training (SSAT) has demonstrated the potential to achieve both efficiency and robustness. However, SSAT suffers from catastrophic overfitting (CO), a phenomenon that leads to a severely distorted classifier, making…

Machine Learning · Computer Science 2024-09-17 Runqi Lin , Chaojian Yu , Tongliang Liu

A crucial design decision for any robot learning pipeline is the choice of policy representation: what type of model should be used to generate the next set of robot actions? Owing to the inherent multi-modal nature of many robotic tasks,…

Robotics · Computer Science 2023-09-13 Sumeet Singh , Stephen Tu , Vikas Sindhwani

Fast Adversarial Training (FAT) has gained increasing attention within the research community owing to its efficacy in improving adversarial robustness. Particularly noteworthy is the challenge posed by catastrophic overfitting (CO) in this…

Machine Learning · Computer Science 2024-02-29 Mengnan Zhao , Lihe Zhang , Yuqiu Kong , Baocai Yin

Training adversarially robust discriminative (i.e., softmax) classifier has been the dominant approach to robust classification. Building on recent work on adversarial training (AT)-based generative models, we investigate using AT to learn…

Machine Learning · Computer Science 2022-12-15 Xuwang Yin

Energy-Based Models (EBMs) present a flexible and appealing way to represent uncertainty. Despite recent advances, training EBMs on high-dimensional data remains a challenging problem as the state-of-the-art approaches are costly, unstable,…

Machine Learning · Computer Science 2021-06-08 Will Grathwohl , Jacob Kelly , Milad Hashemi , Mohammad Norouzi , Kevin Swersky , David Duvenaud
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