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Related papers: Wasserstein Divergence for GANs

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Studied here are Wasserstein generative adversarial networks (WGANs) with GroupSort neural networks as their discriminators. It is shown that the error bound of the approximation for the target distribution depends on the width and depth…

Machine Learning · Computer Science 2023-07-03 Yihang Gao , Michael K. Ng , Mingjie Zhou

We introduce a new algorithm named WGAN, an alternative to traditional GAN training. In this new model, we show that we can improve the stability of learning, get rid of problems like mode collapse, and provide meaningful learning curves…

Machine Learning · Statistics 2017-12-08 Martin Arjovsky , Soumith Chintala , Léon Bottou

Generative adversarial networks (GANs) are an exciting alternative to algorithms for solving density estimation problems---using data to assess how likely samples are to be drawn from the same distribution. Instead of explicitly computing…

Machine Learning · Computer Science 2017-09-20 Christopher Grimm , Yuhang Song , Michael L. Littman

This paper provides a more rigorous look at Relativistic Generative Adversarial Networks (RGANs). We prove that the objective function of the discriminator is a statistical divergence for any concave function $f$ with minimal properties…

Machine Learning · Computer Science 2019-01-10 Alexia Jolicoeur-Martineau

In this paper, we propose a novel loss function for training Generative Adversarial Networks (GANs) aiming towards deeper theoretical understanding as well as improved stability and performance for the underlying optimization problem. The…

Machine Learning · Computer Science 2021-08-25 Yannis Pantazis , Dipjyoti Paul , Michail Fasoulakis , Yannis Stylianou , Markos Katsoulakis

In this paper, we introduce a new CT image denoising method based on the generative adversarial network (GAN) with Wasserstein distance and perceptual similarity. The Wasserstein distance is a key concept of the optimal transform theory,…

Computer Vision and Pattern Recognition · Computer Science 2018-07-17 Qingsong Yang , Pingkun Yan , Yanbo Zhang , Hengyong Yu , Yongyi Shi , Xuanqin Mou , Mannudeep K. Kalra , Ge Wang

Robust estimation is an important problem in statistics which aims at providing a reasonable estimator when the data-generating distribution lies within an appropriately defined ball around an uncontaminated distribution. Although minimax…

Statistics Theory · Mathematics 2021-01-21 Zheng Liu , Po-Ling Loh

Generative adversarial networks (GANs) are a machine learning framework comprising a generative model for sampling from a target distribution and a discriminative model for evaluating the proximity of a sample to the target distribution.…

Quantum Physics · Physics 2021-07-22 Daniel Herr , Benjamin Obert , Matthias Rosenkranz

Generative-adversarial networks (GANs) have been used to produce data closely resembling example data in a compressed, latent space that is close to sufficient for reconstruction in the original vector space. The Wasserstein metric has been…

Machine Learning · Statistics 2022-10-10 Oliver Serang

Despite the remarkable empirical successes of Generative Adversarial Networks (GANs), the theoretical guarantees for their statistical accuracy remain rather pessimistic. In particular, the data distributions on which GANs are applied, such…

Machine Learning · Statistics 2025-07-17 Saptarshi Chakraborty , Peter L. Bartlett

GANs excel at learning high dimensional distributions, but they can update generator parameters in directions that do not correspond to the steepest descent direction of the objective. Prominent examples of problematic update directions…

Machine Learning · Computer Science 2018-06-08 Calvin Seward , Thomas Unterthiner , Urs Bergmann , Nikolay Jetchev , Sepp Hochreiter

We introduce Primal-Dual Wasserstein GAN, a new learning algorithm for building latent variable models of the data distribution based on the primal and the dual formulations of the optimal transport (OT) problem. We utilize the primal…

Machine Learning · Statistics 2018-05-25 Mevlana Gemici , Zeynep Akata , Max Welling

Generative adversarial networks (GANs) are a machine learning technique capable of producing high-quality synthetic images. In the field of materials science, when a crystallographic dataset includes inadequate or difficult-to-obtain…

In the recent years Generative Adversarial Networks (GANs) have demonstrated significant progress in generating authentic looking data. In this work we introduce our simple method to exploit the advancements in well established image-based…

Machine Learning · Computer Science 2019-10-31 Eoin Brophy , Zhengwei Wang , Tomas E. Ward

Generative adversarial network (GAN) is a minimax game between a generator mimicking the true model and a discriminator distinguishing the samples produced by the generator from the real training samples. Given an unconstrained…

Machine Learning · Computer Science 2018-10-30 Farzan Farnia , David Tse

Generative modelling is often cast as minimizing a similarity measure between a data distribution and a model distribution. Recently, a popular choice for the similarity measure has been the Wasserstein metric, which can be expressed in the…

Machine Learning · Computer Science 2019-10-10 Anton Mallasto , Guido Montúfar , Augusto Gerolin

High-resolution video generation has emerged as a crucial task in computer vision, with wide-ranging applications in entertainment, simulation, and data augmentation. However, generating temporally coherent and visually realistic videos…

Image and Video Processing · Electrical Eng. & Systems 2025-07-08 Abhinav Sagar

The extension of image generation to video generation turns out to be a very difficult task, since the temporal dimension of videos introduces an extra challenge during the generation process. Besides, due to the limitation of memory and…

Computer Vision and Pattern Recognition · Computer Science 2018-12-07 Dinesh Acharya , Zhiwu Huang , Danda Pani Paudel , Luc Van Gool

Generative Adversarial Networks (GANs) are commonly used for modeling complex distributions of data. Both the generators and discriminators of GANs are often modeled by neural networks, posing a non-transparent optimization problem which is…

Machine Learning · Computer Science 2022-03-22 Arda Sahiner , Tolga Ergen , Batu Ozturkler , Burak Bartan , John Pauly , Morteza Mardani , Mert Pilanci

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