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Generative adversarial networks (GANs) are pow- erful generative models based on providing feed- back to a generative network via a discriminator network. However, the discriminator usually as- sesses individual samples. This prevents the…

Machine Learning · Computer Science 2018-06-20 Thomas Lucas , Corentin Tallec , Jakob Verbeek , Yann Ollivier

Generative Adversarial Networks (GANs) have made great progress in synthesizing realistic images in recent years. However, they are often trained on image datasets with either too few samples or too many classes belonging to different data…

Machine Learning · Computer Science 2020-10-16 Shichang Tang

Generative Adversarial Networks (GANs) can successfully approximate a probability distribution and produce realistic samples. However, open questions such as sufficient convergence conditions and mode collapse still persist. In this paper,…

Machine Learning · Computer Science 2019-03-13 Thang Doan , Joao Monteiro , Isabela Albuquerque , Bogdan Mazoure , Audrey Durand , Joelle Pineau , R Devon Hjelm

Generative Adversarial Networks (GANs) have proven to be a powerful framework for learning to draw samples from complex distributions. However, GANs are also notoriously difficult to train, with mode collapse and oscillations a common…

Machine Learning · Statistics 2018-11-28 Kevin J Liang , Chunyuan Li , Guoyin Wang , Lawrence Carin

Generative adversarial networks (GANs) provide an algorithmic framework for constructing generative models with several appealing properties: they do not require a likelihood function to be specified, only a generating procedure; they…

Machine Learning · Statistics 2017-02-28 Shakir Mohamed , Balaji Lakshminarayanan

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…

Machine Learning · Computer Science 2022-06-10 Jian Huang , Yuling Jiao , Zhen Li , Shiao Liu , Yang Wang , Yunfei Yang

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 demonstrated unprecedented success in various image generation tasks. The encouraging results, however, come at the price of a cumbersome training process, during which the generator and…

Computer Vision and Pattern Recognition · Computer Science 2021-06-17 Chengchao Shen , Youtan Yin , Xinchao Wang , Xubin Li , Jie Song , Mingli Song

Generative adversarial networks (GANs) learn the distribution of observed samples through a zero-sum game between two machine players, a generator and a discriminator. While GANs achieve great success in learning the complex distribution of…

Machine Learning · Computer Science 2020-06-19 Farzan Farnia , William Wang , Subhro Das , Ali Jadbabaie

Generative adversarial networks (GAN) have been effective for learning generative models for real-world data. However, existing GANs (GAN and its variants) tend to suffer from training problems such as instability and mode collapse. In this…

Machine Learning · Computer Science 2018-03-05 Chaoyue Wang , Chang Xu , Xin Yao , Dacheng Tao

Generative adversarial networks (GANs) are widely used for distribution learning, yet their classical formulations remain theoretically fragile, with ill-posed objectives, unstable training dynamics, and limited interpretability. In this…

Machine Learning · Computer Science 2025-12-29 Angshul Majumdar

This paper studies the rates of convergence for learning distributions implicitly with the adversarial framework and Generative Adversarial Networks (GANs), which subsume Wasserstein, Sobolev, MMD GAN, and Generalized/Simulated Method of…

Statistics Theory · Mathematics 2021-10-12 Tengyuan Liang

Generative adversarial networks (GANs) evolved into one of the most successful unsupervised techniques for generating realistic images. Even though it has recently been shown that GAN training converges, GAN models often end up in local…

Generative Adversarial Networks (GANs) are formulated as minimax game problems, whereby generators attempt to approach real data distributions by virtue of adversarial learning against discriminators. The intrinsic problem complexity poses…

Computer Vision and Pattern Recognition · Computer Science 2021-08-10 Yuesong Tian , Li Shen , Li Shen , Guinan Su , Zhifeng Li , Wei Liu

In this article, we introduce a new mode for training Generative Adversarial Networks (GANs). Rather than minimizing the distance of evidence distribution $\tilde{p}(x)$ and the generative distribution $q(x)$, we minimize the distance of…

Machine Learning · Computer Science 2018-10-30 Jianlin Su

A generative adversarial network (GAN) has been a representative backbone model in generative artificial intelligence (AI) because of its powerful performance in capturing intricate data-generating processes. However, the GAN training is…

Machine Learning · Statistics 2025-08-21 Jinwon Sohn , Qifan Song

Generative adversarial networks (GANs) are powerful tools for learning generative models. In practice, the training may suffer from lack of convergence. GANs are commonly viewed as a two-player zero-sum game between two neural networks.…

Machine Learning · Computer Science 2018-07-13 Hao Ge , Yin Xia , Xu Chen , Randall Berry , Ying Wu

Generative Adversarial Networks (GANs) are a powerful framework for deep generative modeling. Posed as a two-player minimax problem, GANs are typically trained end-to-end on real-valued data and can be used to train a generator of…

Machine Learning · Statistics 2017-11-15 Anirudh Goyal , Nan Rosemary Ke , Alex Lamb , R Devon Hjelm , Chris Pal , Joelle Pineau , Yoshua Bengio

Generative neural samplers are probabilistic models that implement sampling using feedforward neural networks: they take a random input vector and produce a sample from a probability distribution defined by the network weights. These models…

Machine Learning · Statistics 2016-06-03 Sebastian Nowozin , Botond Cseke , Ryota Tomioka

A generative adversarial network (GAN) is a class of machine learning frameworks designed by Goodfellow et al. in 2014. In the GAN framework, the generative model is pitted against an adversary: a discriminative model that learns to…

Machine Learning · Computer Science 2022-10-13 Lan V. Truong