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Related papers: Orthogonal Wasserstein GANs

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Generative Adversarial Networks (GANs) have been widely applied in different scenarios thanks to the development of deep neural networks. The original GAN was proposed based on the non-parametric assumption of the infinite capacity of…

Machine Learning · Computer Science 2022-11-04 Ziqiang Li , Muhammad Usman , Rentuo Tao , Pengfei Xia , Chaoyue Wang , Huanhuan Chen , Bin Li

High-resolution (HR) precipitation prediction is essential for reducing damage from stationary and localized heavy rainfall; however, HR precipitation forecasts using process-driven numerical weather prediction models remains challenging.…

Machine Learning · Computer Science 2026-05-19 Kenta Shiraishi , Yuka Muto , Atsushi Okazaki , Shunji Kotsuki

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 Nets (GANs) are very successful at modeling distributions from given samples, even in the high-dimensional case. However, their formulation is also known to be hard to optimize and often not stable. While this is…

Computer Vision and Pattern Recognition · Computer Science 2018-03-30 Ishan Deshpande , Ziyu Zhang , Alexander Schwing

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

We study quantitatively the overparametrization limit of the original Wasserstein-GAN algorithm. Effectively, we show that the algorithm is a stochastic discretization of a system of continuity equations for the parameter distributions of…

Analysis of PDEs · Mathematics 2024-05-30 M. G. Delgadino , Bruno B. Suassuna , Rene Cabrera

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

This paper introduces a novel approach to image denoising that leverages the advantages of Generative Adversarial Networks (GANs). Specifically, we propose a model that combines elements of the Pix2Pix model and the Wasserstein GAN (WGAN)…

Image and Video Processing · Electrical Eng. & Systems 2024-08-01 Luca Tirel , Ali Mohamed Ali , Hashim A. Hashim

Generative adversarial networks (GANs) are so complex that the existing learning theories do not provide a satisfactory explanation for why GANs have great success in practice. The same situation also remains largely open for deep neural…

Machine Learning · Computer Science 2022-02-15 Khoat Than , Nghia Vu

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

This report has several purposes. First, our report is written to investigate the reproducibility of the submitted paper On the regularization of Wasserstein GANs (2018). Second, among the experiments performed in the submitted paper, five…

Machine Learning · Computer Science 2017-12-19 Junghoon Seo , Taegyun Jeon

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

Generative models based on latent variables, such as generative adversarial networks (GANs) and variational auto-encoders (VAEs), have gained lots of interests due to their impressive performance in many fields. However, many data such as…

Machine Learning · Statistics 2024-09-30 Yixuan Qiu , Qingyi Gao , Xiao Wang

Though recent research has achieved remarkable progress in generating realistic images with generative adversarial networks (GANs), the lack of training stability is still a lingering concern of most GANs, especially on high-resolution…

Computer Vision and Pattern Recognition · Computer Science 2020-03-18 Runmin Wu , Kunyao Zhang , Lijun Wang , Yue Wang , Pingping Zhang , Huchuan Lu , Yizhou Yu

The mathematical forces at work behind Generative Adversarial Networks raise challenging theoretical issues. Motivated by the important question of characterizing the geometrical properties of the generated distributions, we provide a…

Machine Learning · Statistics 2023-10-06 Arthur Stéphanovitch , Ugo Tanielian , Benoît Cadre , Nicolas Klutchnikoff , Gérard Biau

We propose a stable, parallel approach to train Wasserstein Conditional Generative Adversarial Neural Networks (W-CGANs) under the constraint of a fixed computational budget. Differently from previous distributed GANs training techniques,…

Artificial Intelligence · Computer Science 2022-08-26 Massimiliano Lupo Pasini , Junqi Yin

Generative adversarial networks (GANs) and normalizing flows are both approaches to density estimation that use deep neural networks to transform samples from an uninformative prior distribution to an approximation of the data distribution.…

Machine Learning · Computer Science 2021-12-15 Tianci Liu , Jeffrey Regier

Image inpainting is a restoration method that reconstructs missing image parts. However, a carefully selected mask of known pixels that yield a high quality inpainting can also act as a sparse image representation. This challenging spatial…

Image and Video Processing · Electrical Eng. & Systems 2022-12-05 Pascal Peter

Multiple marginal matching problem aims at learning mappings to match a source domain to multiple target domains and it has attracted great attention in many applications, such as multi-domain image translation. However, addressing this…

Machine Learning · Computer Science 2019-11-05 Jiezhang Cao , Langyuan Mo , Yifan Zhang , Kui Jia , Chunhua Shen , Mingkui Tan

In this paper, we investigate the training process of generative networks that use a type of probability density distance named particle-based distance as the objective function, e.g. MMD GAN, Cram\'er GAN, EIEG GAN. However, these GANs…

Machine Learning · Computer Science 2023-07-10 Chuqi Chen , Yue Wu , Yang Xiang