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Related papers: Lipschitz Constrained GANs via Boundedness and Con…

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To improve the robustness of deep classifiers against adversarial perturbations, many approaches have been proposed, such as designing new architectures with better robustness properties (e.g., Lipschitz-capped networks), or modifying the…

Machine Learning · Computer Science 2025-03-27 Mahyar Fazlyab , Taha Entesari , Aniket Roy , Rama Chellappa

Despite the large success of deep neural networks (DNN) in recent years, most neural networks still lack mathematical guarantees in terms of stability. For instance, DNNs are vulnerable to small or even imperceptible input perturbations, so…

Machine Learning · Computer Science 2022-11-02 Leon Bungert , René Raab , Tim Roith , Leo Schwinn , Daniel Tenbrinck

Generative Adversarial Networks (GANs), though powerful, is hard to train. Several recent works (brock2016neural,miyato2018spectral) suggest that controlling the spectra of weight matrices in the discriminator can significantly improve the…

Machine Learning · Computer Science 2019-03-05 Haoming Jiang , Zhehui Chen , Minshuo Chen , Feng Liu , Dingding Wang , Tuo Zhao

In many domains of computer vision, generative adversarial networks (GANs) have achieved great success, among which the family of Wasserstein GANs (WGANs) is considered to be state-of-the-art due to the theoretical contributions and…

Computer Vision and Pattern Recognition · Computer Science 2018-09-06 Jiqing Wu , Zhiwu Huang , Janine Thoma , Dinesh Acharya , Luc Van Gool

Generative Adversarial Networks (GANs) are one of the most popular tools for learning complex high dimensional distributions. However, generalization properties of GANs have not been well understood. In this paper, we analyze the…

Machine Learning · Computer Science 2019-02-12 Hoang Thanh-Tung , Truyen Tran , Svetha Venkatesh

Generative Adversarial Networks (GANs) have been widely adopted in various fields. However, existing GANs generally are not able to preserve the manifold of data space, mainly due to the simple representation of discriminator for the…

Computer Vision and Pattern Recognition · Computer Science 2021-09-21 Haozhe Liu , Hanbang Liang , Xianxu Hou , Haoqian Wu , Feng Liu , Linlin Shen

Generative adversarial networks (GANs) have made impressive advances in image generation, but they often require large-scale training data to avoid degradation caused by discriminator overfitting. To tackle this issue, we investigate the…

Machine Learning · Computer Science 2024-08-22 Jian Wang , Xin Lan , Yuxin Tian , Jiancheng Lv

Generative adversarial networks (GANs) are effective in generating realistic images but the training is often unstable. There are existing efforts that model the training dynamics of GANs in the parameter space but the analysis cannot…

Machine Learning · Computer Science 2020-07-09 Kun Xu , Chongxuan Li , Jun Zhu , Bo Zhang

Despite the growing prominence of generative adversarial networks (GANs), optimization in GANs is still a poorly understood topic. In this paper, we analyze the "gradient descent" form of GAN optimization i.e., the natural setting where we…

Machine Learning · Computer Science 2018-01-16 Vaishnavh Nagarajan , J. Zico Kolter

The Lipschitz constant of the map between the input and output space represented by a neural network is a natural metric for assessing the robustness of the model. We present a new method to constrain the Lipschitz constant of dense deep…

Machine Learning · Computer Science 2023-08-22 Ouail Kitouni , Niklas Nolte , Mike Williams

Generative adversarial networks (GANs) have shown outstanding performance on a wide range of problems in computer vision, graphics, and machine learning, but often require numerous training data and heavy computational resources. To tackle…

Computer Vision and Pattern Recognition · Computer Science 2020-03-02 Sangwoo Mo , Minsu Cho , Jinwoo Shin

Generative adversarial networks (GANs) have been extremely effective in approximating complex distributions of high-dimensional, input data samples, and substantial progress has been made in understanding and improving GAN performance in…

Machine Learning · Computer Science 2018-05-01 Daniel Jiwoong Im , He Ma , Graham Taylor , Kristin Branson

Certified robustness is a critical property for deploying neural networks (NN) in safety-critical applications. A principle approach to achieving such guarantees is to constrain the global Lipschitz constant of the network. However,…

Machine Learning · Computer Science 2025-07-01 Zain ul Abdeen , Vassilis Kekatos , Ming Jin

Training neural networks that require adversarial optimization, such as generative adversarial networks (GANs) and unsupervised domain adaptations (UDAs), suffers from instability. This instability problem comes from the difficulty of the…

Machine Learning · Statistics 2023-12-05 Takashi Furuya , Satoshi Okuda , Kazuma Suetake , Yoshihide Sawada

We propose a principled method for gradient-based regularization of the critic of GAN-like models trained by adversarially optimizing the kernel of a Maximum Mean Discrepancy (MMD). We show that controlling the gradient of the critic is…

Machine Learning · Statistics 2021-01-15 Michael Arbel , Danica J. Sutherland , Mikołaj Bińkowski , Arthur Gretton

Traditional GANs use a deterministic generator function (typically a neural network) to transform a random noise input $z$ to a sample $\mathbf{x}$ that the discriminator seeks to distinguish. We propose a new GAN called Bayesian…

Machine Learning · Computer Science 2017-06-20 M. Ehsan Abbasnejad , Qinfeng Shi , Iman Abbasnejad , Anton van den Hengel , Anthony Dick

The Lipschitz constant is an important quantity that arises in analysing the convergence of gradient-based optimization methods. It is generally unclear how to estimate the Lipschitz constant of a complex model. Thus, this paper studies an…

Machine Learning · Statistics 2023-02-10 Calypso Herrera , Florian Krach , Josef Teichmann

Generative adversarial training can be generally understood as minimizing certain moment matching loss defined by a set of discriminator functions, typically neural networks. The discriminator set should be large enough to be able to…

Machine Learning · Computer Science 2018-02-27 Pengchuan Zhang , Qiang Liu , Dengyong Zhou , Tao Xu , Xiaodong He

Generative Adversarial networks (GANs) have obtained remarkable success in many unsupervised learning tasks and unarguably, clustering is an important unsupervised learning problem. While one can potentially exploit the latent-space…

Machine Learning · Computer Science 2019-01-29 Sudipto Mukherjee , Himanshu Asnani , Eugene Lin , Sreeram Kannan

Conditional generative adversarial networks have shown exceptional generation performance over the past few years. However, they require large numbers of annotations. To address this problem, we propose a novel generative adversarial…

Machine Learning · Computer Science 2020-03-06 Ligong Han , Ruijiang Gao , Mun Kim , Xin Tao , Bo Liu , Dimitris Metaxas
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