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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 shown to produce realistic samples from high-dimensional distributions, but training them is considered hard. A possible explanation for training instabilities is the inherent imbalance…

Machine Learning · Statistics 2018-07-12 Mehdi S. M. Sajjadi , Giambattista Parascandolo , Arash Mehrjou , Bernhard Schölkopf

In this paper, we show that Generative Adversarial Networks (GANs) suffer from catastrophic forgetting even when they are trained to approximate a single target distribution. We show that GAN training is a continual learning problem in…

Machine Learning · Computer Science 2020-03-24 Hoang Thanh-Tung , Truyen Tran

Robust scatter estimation is a fundamental task in statistics. The recent discovery on the connection between robust estimation and generative adversarial nets (GANs) by Gao et al. (2018) suggests that it is possible to compute depth-like…

Machine Learning · Computer Science 2019-03-06 Chao Gao , Yuan Yao , Weizhi Zhu

Adversarial Regression is a proposition to perform high dimensional non-linear regression with uncertainty estimation. We used Conditional Generative Adversarial Network to obtain an estimate of the full predictive distribution for a new…

Machine Learning · Statistics 2019-10-22 Yoann Boget

Implicit generative models have the capability to learn arbitrary complex data distributions. On the downside, training requires telling apart real data from artificially-generated ones using adversarial discriminators, leading to unstable…

Machine Learning · Computer Science 2024-02-27 José Manuel de Frutos , Pablo M. Olmos , Manuel A. Vázquez , Joaquín Míguez

We consider the problem of estimating the parameters of a $d$-dimensional rectified Gaussian distribution from i.i.d. samples. A rectified Gaussian distribution is defined by passing a standard Gaussian distribution through a one-layer ReLU…

Machine Learning · Computer Science 2019-09-20 Shanshan Wu , Alexandros G. Dimakis , Sujay Sanghavi

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

In this paper, we leverage generative adversarial networks (GANs) to derive an effective algorithm LLP-GAN for learning from label proportions (LLP), where only the bag-level proportional information in labels is available. Endowed with…

Machine Learning · Computer Science 2019-12-03 Jiabin Liu , Bo Wang , Zhiquan Qi , Yingjie Tian , Yong Shi

Despite the successes in capturing continuous distributions, the application of generative adversarial networks (GANs) to discrete settings, like natural language tasks, is rather restricted. The fundamental reason is the difficulty of…

Artificial Intelligence · Computer Science 2017-02-28 Tong Che , Yanran Li , Ruixiang Zhang , R Devon Hjelm , Wenjie Li , Yangqiu Song , Yoshua Bengio

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) is a novel class of deep generative models which has recently gained significant attention. GANs learns complex and high-dimensional distributions implicitly over images, audio, and data. However,…

Machine Learning · Computer Science 2023-04-06 Divya Saxena , Jiannong Cao

Brenier proved that under certain conditions on a source and a target probability measure there exists a strictly convex function such that its gradient is a transport map from the source to the target distribution. This function is called…

Machine Learning · Computer Science 2025-04-29 Claudia Drygala , Hanno Gottschalk , Thomas Kruse , Ségolène Martin , Annika Mütze

The true distribution parameterizations of commonly used image datasets are inaccessible. Rather than designing metrics for feature spaces with unknown characteristics, we propose to measure GAN performance by evaluating on explicitly…

Machine Learning · Computer Science 2018-12-31 Shayne O'Brien , Matt Groh , Abhimanyu Dubey

Generative adversarial networks constitute a powerful approach to generative modeling. While generated samples often are indistinguishable from real data, there is no guarantee that they will follow the true data distribution. For…

Machine Learning · Statistics 2024-09-09 Philipp Pilar , Niklas Wahlström

Generative Adversarial Networks (GANs) are susceptible to bias, learned from either the unbalanced data, or through mode collapse. The networks focus on the core of the data distribution, leaving the tails - or the edges of the distribution…

Computer Vision and Pattern Recognition · Computer Science 2022-02-09 Yunzhe Liu , Rinon Gal , Amit H. Bermano , Baoquan Chen , Daniel Cohen-Or

Generative Adversarial Networks (GANs) are a recent advancement in unsupervised machine learning. They are a cat-and-mouse game between two neural networks: [1] a discriminator network which learns to validate whether a sample is real or…

Cosmology and Nongalactic Astrophysics · Physics 2020-06-23 Olivia Curtis , Tereasa G. Brainerd

The Generative Adversarial Networks (GAN) framework is a well-established paradigm for probability matching and realistic sample generation. While recent attention has been devoted to studying the theoretical properties of such models, a…

Machine Learning · Statistics 2020-07-30 Giulia Luise , Massimiliano Pontil , Carlo Ciliberto

We present a novel method and analysis to train generative adversarial networks (GAN) in a stable manner. As shown in recent analysis, training is often undermined by the probability distribution of the data being zero on neighborhoods of…

Computer Vision and Pattern Recognition · Computer Science 2019-09-18 Simon Jenni , Paolo Favaro

Generative Adversarial Networks (GAN) are trained to generate sample images of interest distribution. To this end, generator network of GAN learns implicit distribution of real data set from the classification with candidate generated…

Machine Learning · Computer Science 2020-11-17 Gahye Lee , Seungkyu Lee
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