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Related papers: On the regularization of Wasserstein GANs

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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 achieved a great success in unsupervised learning. Despite its remarkable empirical performance, there are limited theoretical studies on the statistical properties of GANs. This paper provides…

Machine Learning · Computer Science 2022-07-22 Minshuo Chen , Wenjing Liao , Hongyuan Zha , Tuo Zhao

This paper explores the problem of generative modeling, aiming to simulate diverse examples from an unknown distribution based on observed examples. While recent studies have focused on quantifying the statistical precision of popular…

Statistics Theory · Mathematics 2024-06-07 Elen Vardanyan , Sona Hunanyan , Tigran Galstyan , Arshak Minasyan , Arnak Dalalyan

In this work we study input gradient regularization of deep neural networks, and demonstrate that such regularization leads to generalization proofs and improved adversarial robustness. The proof of generalization does not overcome the…

Machine Learning · Computer Science 2019-09-13 Chris Finlay , Jeff Calder , Bilal Abbasi , Adam Oberman

Despite superior performance in many situations, deep neural networks are often vulnerable to adversarial examples and distribution shifts, limiting model generalization ability in real-world applications. To alleviate these problems,…

Machine Learning · Computer Science 2023-02-14 Hoang Phan , Trung Le , Trung Phung , Tuan Anh Bui , Nhat Ho , Dinh Phung

We study a model for adversarial classification based on distributionally robust chance constraints. We show that under Wasserstein ambiguity, the model aims to minimize the conditional value-at-risk of the distance to misclassification,…

Machine Learning · Computer Science 2021-11-05 Nam Ho-Nguyen , Stephen J. Wright

Generative adversarial networks (GANs) are highly effective unsupervised learning frameworks that can generate very sharp data, even for data such as images with complex, highly multimodal distributions. However GANs are known to be very…

Machine Learning · Statistics 2017-12-05 Sitao Xiang , Hao Li

The key to overcome class imbalance problems is to capture the distribution of minority class accurately. Generative Adversarial Networks (GANs) have shown some potentials to tackle class imbalance problems due to their capability of…

Machine Learning · Computer Science 2020-08-06 Jingyu Hao , Chengjia Wang , Heye Zhang , Guang Yang

Generative Adversarial Networks (GANs) have been shown to be powerful and flexible priors when solving inverse problems. One challenge of using them is overcoming representation error, the fundamental limitation of the network in…

Machine Learning · Computer Science 2022-04-12 Sean Gunn , Jorio Cocola , Paul Hand

Wasserstein GANs are based on the idea of minimising the Wasserstein distance between a real and a generated distribution. We provide an in-depth mathematical analysis of differences between the theoretical setup and the reality of training…

Machine Learning · Statistics 2021-10-06 Jan Stanczuk , Christian Etmann , Lisa Maria Kreusser , Carola-Bibiane Schönlieb

Learning generative models is challenging for a network edge node with limited data and computing power. Since tasks in similar environments share model similarity, it is plausible to leverage pre-trained generative models from the cloud or…

Machine Learning · Computer Science 2021-01-25 Mehmet Dedeoglu , Sen Lin , Zhaofeng Zhang , Junshan Zhang

Generative adversarial networks (GAN) have shown remarkable results in image generation tasks. High fidelity class-conditional GAN methods often rely on stabilization techniques by constraining the global Lipschitz continuity. Such…

Machine Learning · Computer Science 2020-08-11 Jiachen Zhong , Xuanqing Liu , Cho-Jui Hsieh

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

We propose a novel training procedure for improving the performance of generative adversarial networks (GANs), especially to bidirectional GANs. First, we enforce that the empirical distribution of the inverse inference network matches the…

Machine Learning · Statistics 2020-05-26 Pablo Sánchez-Martín , Pablo M. Olmos , Fernando Perez-Cruz

Due to their susceptibility to adversarial perturbations, neural networks (NNs) are hardly used in safety-critical applications. One measure of robustness to such perturbations in the input is the Lipschitz constant of the input-output map…

Machine Learning · Computer Science 2021-04-30 Patricia Pauli , Anne Koch , Julian Berberich , Paul Kohler , Frank Allgöwer

Generative adversarial networks (GANs) have been shown to produce realistic samples from high-dimensional distributions, but training them is considered hard. A possible explanation for training instabilities is the inherent imbalance…

Machine Learning · Statistics 2018-07-12 Mehdi S. M. Sajjadi , Giambattista Parascandolo , Arash Mehrjou , Bernhard Schölkopf

Wasserstein distributionally robust optimization offers a framework for model fitting in machine learning under potential shifts in the data distribution. We study a regularized variant of this problem in which entropic smoothing produces a…

Optimization and Control · Mathematics 2026-05-28 Tam Le

Generative Adversarial Networks (GANs) have shown notable accomplishments in remote sensing domain. However, this paper reveals that their performance on remote sensing images falls short when compared to their impressive results with…

Computer Vision and Pattern Recognition · Computer Science 2024-03-29 Xingzhe Su , Changwen Zheng , Wenwen Qiang , Fengge Wu , Junsuo Zhao , Fuchun Sun , Hui Xiong

We provide non asymptotic rates of convergence of the Wasserstein Generative Adversarial networks (WGAN) estimator. We build neural networks classes representing the generators and discriminators which yield a GAN that achieves the minimax…

Statistics Theory · Mathematics 2025-03-13 Arthur Stéphanovitch , Eddie Aamari , Clément Levrard

Generative adversarial networks (GANs) are a class of generative models, known for producing accurate samples. The key feature of GANs is that there are two antagonistic neural networks: the generator and the discriminator. The main…

Machine Learning · Computer Science 2025-08-05 Barbara Franci , Sergio Grammatico