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Generative Adversarial Networks (GANs) have been promising in the field of image generation, however, they have been hard to train for language generation. GANs were originally designed to output differentiable values, so discrete language…

机器学习 · 计算机科学 2018-07-04 Mehrad Moradshahi , Utkarsh Contractor

The generative adversarial network (GAN) is a well-known model for learning high-dimensional distributions, but the mechanism for its generalization ability is not understood. In particular, GAN is vulnerable to the memorization phenomenon,…

机器学习 · 计算机科学 2026-02-18 Hongkang Yang , Weinan E

Generative Adversarial Networks (GANs) have been used to model the underlying probability distribution of sample based datasets. GANs are notoriuos for training difficulties and their dependence on arbitrary hyperparameters. One recent…

机器学习 · 计算机科学 2019-10-03 Thomas Pinetz , Daniel Soukup , Thomas Pock

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…

机器学习 · 计算机科学 2022-07-22 Minshuo Chen , Wenjing Liao , Hongyuan Zha , Tuo Zhao

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…

机器学习 · 统计学 2025-07-17 Saptarshi Chakraborty , Peter L. Bartlett

Generative adversarial networks (GANs) are one of the most robust and versatile techniques in the field of generative artificial intelligence. In this work, we report on an application of GANs in the domain of synthetic spectral data…

Generative adversarial nets (GANs) and variational auto-encoders have significantly improved our distribution modeling capabilities, showing promise for dataset augmentation, image-to-image translation and feature learning. However, to…

Wasserstein Generative Adversarial Networks (WGANs) can be used to generate realistic samples from complicated image distributions. The Wasserstein metric used in WGANs is based on a notion of distance between individual images, which…

计算机视觉与模式识别 · 计算机科学 2019-01-14 Jonas Adler , Sebastian Lunz

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…

计算机视觉与模式识别 · 计算机科学 2018-03-30 Ishan Deshpande , Ziyu Zhang , Alexander Schwing

Generative adversarial networks (GANs) are powerful generative models, but usually suffer from instability and generalization problem which may lead to poor generations. Most existing works focus on stabilizing the training of the…

机器学习 · 计算机科学 2020-04-29 Shufei Zhang , Zhuang Qian , Kaizhu Huang , Jimin Xiao , Yuan He

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…

机器学习 · 计算机科学 2017-09-20 Christopher Grimm , Yuhang Song , Michael L. Littman

Non-saturating generative adversarial network (GAN) training is widely used and has continued to obtain groundbreaking results. However so far this approach has lacked strong theoretical justification, in contrast to alternatives such as…

机器学习 · 计算机科学 2020-10-19 Matt Shannon , Ben Poole , Soroosh Mariooryad , Tom Bagby , Eric Battenberg , David Kao , Daisy Stanton , RJ Skerry-Ryan

Generative Adversial Networks (GANs) have made a major impact in computer vision and machine learning as generative models. Wasserstein GANs (WGANs) brought Optimal Transport (OT) theory into GANs, by minimizing the $1$-Wasserstein distance…

机器学习 · 计算机科学 2019-02-12 Anton Mallasto , Jes Frellsen , Wouter Boomsma , Aasa Feragen

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.…

机器学习 · 计算机科学 2021-12-15 Tianci Liu , Jeffrey Regier

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.…

量子物理 · 物理学 2021-07-22 Daniel Herr , Benjamin Obert , Matthias Rosenkranz

We develop a novel method for training of GANs for unsupervised and class conditional generation of images, called Linear Discriminant GAN (LD-GAN). The discriminator of an LD-GAN is trained to maximize the linear separability between…

机器学习 · 统计学 2017-07-26 Zhun Sun , Mete Ozay , Takayuki Okatani

This paper studies how well generative adversarial networks (GANs) learn probability distributions from finite samples. Our main results establish the convergence rates of GANs under a collection of integral probability metrics defined…

机器学习 · 计算机科学 2022-06-10 Jian Huang , Yuling Jiao , Zhen Li , Shiao Liu , Yang Wang , Yunfei Yang

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…

机器学习 · 统计学 2021-10-06 Jan Stanczuk , Christian Etmann , Lisa Maria Kreusser , Carola-Bibiane Schönlieb

We consider the problem of optimizing the discriminator in generative adversarial networks (GANs) subject to higher-order gradient regularization. We show analytically, via the least-squares (LSGAN) and Wasserstein (WGAN) GAN variants, that…

机器学习 · 统计学 2023-06-02 Siddarth Asokan , Chandra Sekhar Seelamantula

The empirical success of Generative Adversarial Networks (GANs) caused an increasing interest in theoretical research. The statistical literature is mainly focused on Wasserstein GANs and generalizations thereof, which especially allow for…

统计理论 · 数学 2024-07-30 Lea Kunkel , Mathias Trabs