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Generative Adversarial Networks (GANs) are a class of generative algorithms that have been shown to produce state-of-the art samples, especially in the domain of image creation. The fundamental principle of GANs is to approximate the…

Machine Learning · Statistics 2018-03-22 G. Biau , B. Cadre , M. Sangnier , U. Tanielian

Generative adversarial networks (GANs) are successful deep generative models. GANs are based on a two-player minimax game. However, the objective function derived in the original motivation is changed to obtain stronger gradients when…

Machine Learning · Statistics 2016-11-10 Masatoshi Uehara , Issei Sato , Masahiro Suzuki , Kotaro Nakayama , Yutaka Matsuo

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

One of the most significant challenges in statistical signal processing and machine learning is how to obtain a generative model that can produce samples of large-scale data distribution, such as images and speeches. Generative Adversarial…

Computer Vision and Pattern Recognition · Computer Science 2020-05-28 Pegah Salehi , Abdolah Chalechale , Maryam Taghizadeh

Generative adversarial networks (GANs) are a novel approach to generative modelling, a task whose goal it is to learn a distribution of real data points. They have often proved difficult to train: GANs are unlike many techniques in machine…

Machine Learning · Computer Science 2018-07-02 Samuel A. Barnett

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 work presents the first statistical performance guarantees for group-invariant generative models. Many real data, such as images and molecules, are invariant to certain group symmetries, which can be taken advantage of to learn more…

Machine Learning · Statistics 2025-03-12 Ziyu Chen , Markos A. Katsoulakis , Luc Rey-Bellet , Wei Zhu

Generative adversarial networks (GANs) are a framework for producing a generative model by way of a two-player minimax game. In this paper, we propose the \emph{Generative Multi-Adversarial Network} (GMAN), a framework that extends GANs to…

Machine Learning · Computer Science 2017-03-06 Ishan Durugkar , Ian Gemp , Sridhar Mahadevan

We propose a new approach to train the Generative Adversarial Nets (GANs) with a mixture of generators to overcome the mode collapsing problem. The main intuition is to employ multiple generators, instead of using a single one as in the…

Machine Learning · Computer Science 2017-10-31 Quan Hoang , Tu Dinh Nguyen , Trung Le , Dinh Phung

Generative Adversarial Networks (GANs) have become a popular method to learn a probability model from data. In this paper, we aim to provide an understanding of some of the basic issues surrounding GANs including their formulation,…

Machine Learning · Statistics 2018-10-23 Soheil Feizi , Farzan Farnia , Tony Ginart , David Tse

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

Generative adversarial networks (GANs) are unsupervised learning methods for training a generator distribution to produce samples that approximate those drawn from a target distribution. Many such methods can be formulated as minimization…

Machine Learning · Statistics 2025-05-13 Jeremiah Birrell

Generative Adversarial Networks (GANs) have shown immense potential in fields such as text and image generation. Only very recently attempts to exploit GANs to statistical-mechanics models have been reported. Here we quantitatively test…

Statistical Mechanics · Physics 2024-05-07 Daniele Lanzoni , Olivier Pierre-Louis , Francesco Montalenti

We deconstruct the performance of GANs into three components: 1. Formulation: we propose a perturbation view of the population target of GANs. Building on this interpretation, we show that GANs can be viewed as a generalization of the…

Machine Learning · Computer Science 2019-05-21 Banghua Zhu , Jiantao Jiao , David Tse

Generative adversarial networks are a novel method for statistical inference that have achieved much empirical success; however, the factors contributing to this success remain ill-understood. In this work, we attempt to analyze generative…

Machine Learning · Computer Science 2018-09-13 Shuang Liu , Kamalika Chaudhuri

Soft sensing infers hard-to-measure data through a large number of easily obtainable variables. However, in complex industrial scenarios, the issue of insufficient data volume persists, which diminishes the reliability of soft sensing.…

Machine Learning · Computer Science 2025-12-23 Zesen Wang , Yonggang Li , Lijuan Lan

Generative adversarial networks (GANs), a class of distribution-learning methods based on a two-player game between a generator and a discriminator, can generally be formulated as a minmax problem based on the variational representation of…

Machine Learning · Computer Science 2022-06-20 Jeremiah Birrell , Markos A. Katsoulakis , Luc Rey-Bellet , Wei Zhu

Generative Adversarial Networks (GANs) have been successful in producing outstanding results in areas as diverse as image, video, and text generation. Building on these successes, a large number of empirical studies have validated the…

Machine Learning · Computer Science 2021-06-21 Gérard Biau , Maxime Sangnier , Ugo Tanielian

Generative adversarial networks (GANs) are a learning framework that rely on training a discriminator to estimate a measure of difference between a target and generated distributions. GANs, as normally formulated, rely on the generated…

Machine Learning · Statistics 2018-02-23 R Devon Hjelm , Athul Paul Jacob , Tong Che , Adam Trischler , Kyunghyun Cho , Yoshua Bengio

In recent years, Generative Adversarial Networks (GANs) have drawn a lot of attentions for learning the underlying distribution of data in various applications. Despite their wide applicability, training GANs is notoriously difficult. This…

Machine Learning · Computer Science 2019-04-23 Babak Barazandeh , Meisam Razaviyayn , Maziar Sanjabi
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