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Generative adversarial nets (GANs) have been widely studied during the recent development of deep learning and unsupervised learning. With an adversarial training mechanism, GAN manages to train a generative model to fit the underlying…

Information Retrieval · Computer Science 2018-06-12 Weinan Zhang

Two recently introduced criteria for estimation of generative models are both based on a reduction to binary classification. Noise-contrastive estimation (NCE) is an estimation procedure in which a generative model is trained to be able to…

Machine Learning · Statistics 2015-05-22 Ian J. Goodfellow

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 (GANs) are modern methods to learn the underlying distribution of a data set. GANs have been widely used in sample synthesis, de-noising, domain transfer, etc. GANs, however, are designed in a model-free…

Machine Learning · Computer Science 2021-03-01 Mucong Ding , Constantinos Daskalakis , Soheil Feizi

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 Adversarial Networks (GANs) are one of the most practical methods for learning data distributions. A popular GAN formulation is based on the use of Wasserstein distance as a metric between probability distributions.…

Machine Learning · Computer Science 2018-05-23 Maziar Sanjabi , Jimmy Ba , Meisam Razaviyayn , Jason D. Lee

Generative adversarial networks (GANs) can implicitly learn rich distributions over images, audio, and data which are hard to model with an explicit likelihood. We present a practical Bayesian formulation for unsupervised and…

Machine Learning · Statistics 2017-11-09 Yunus Saatchi , Andrew Gordon Wilson

Deep generative models including generative adversarial networks (GANs) are powerful unsupervised tools in learning the distributions of data sets. Building a simple GAN architecture in PyTorch and training on the CANDELS data set, we…

Cosmology and Nongalactic Astrophysics · Physics 2022-12-28 Shoubaneh Hemmati , Eric Huff , Hooshang Nayyeri , Agnès Ferté , Peter Melchior , Bahram Mobasher , Jason Rhodes , Abtin Shahidi , Harry Teplitz

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

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

The ability of the Generative Adversarial Networks (GANs) framework to learn generative models mapping from simple latent distributions to arbitrarily complex data distributions has been demonstrated empirically, with compelling results…

Machine Learning · Computer Science 2017-04-05 Jeff Donahue , Philipp Krähenbühl , Trevor Darrell

The two key players in Generative Adversarial Networks (GANs), the discriminator and generator, are usually parameterized as deep neural networks (DNNs). On many generative tasks, GANs achieve state-of-the-art performance but are often…

Machine Learning · Computer Science 2019-01-31 Babajide O. Ayinde , Keishin Nishihama , Jacek M. Zurada

Generative adversarial nets (GANs) have become a preferred tool for tasks involving complicated distributions. To stabilise the training and reduce the mode collapse of GANs, one of their main variants employs the integral probability…

Machine Learning · Computer Science 2020-10-27 Shengxi Li , Zeyang Yu , Min Xiang , Danilo Mandic

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

Transferring the knowledge of pretrained networks to new domains by means of finetuning is a widely used practice for applications based on discriminative models. To the best of our knowledge this practice has not been studied within the…

Computer Vision and Pattern Recognition · Computer Science 2018-10-03 Yaxing Wang , Chenshen Wu , Luis Herranz , Joost van de Weijer , Abel Gonzalez-Garcia , Bogdan Raducanu

We investigate the impact of the input dimension on the generalization error in generative adversarial networks (GANs). In particular, we first provide both theoretical and practical evidence to validate the existence of an optimal input…

Machine Learning · Computer Science 2024-05-08 Zhiyao Tan , Ling Zhou , Huazhen Lin

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

This paper studies the approximation and generalization abilities of score-based neural network generative models (SGMs) in estimating an unknown distribution $P_0$ from $n$ i.i.d. observations in $d$ dimensions. Assuming merely that $P_0$…

Machine Learning · Computer Science 2025-10-28 Guoji Fu , Wee Sun Lee

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

Generative adversarial networks are generative models that are capable of replicating the implicit probability distribution of the input data with high accuracy. Traditionally, GANs consist of a Generator and a Discriminator which interact…

Machine Learning · Computer Science 2022-11-15 Xin Wang