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Despite being impactful on a variety of problems and applications, the generative adversarial nets (GANs) are remarkably difficult to train. This issue is formally analyzed by \cite{arjovsky2017towards}, who also propose an alternative…

Computer Vision and Pattern Recognition · Computer Science 2018-03-06 Xiang Wei , Boqing Gong , Zixia Liu , Wei Lu , Liqiang Wang

Generative Adversarial Networks (GANs) have shown impressive performance in generating photo-realistic images. They fit generative models by minimizing certain distance measure between the real image distribution and the generated data…

Machine Learning · Computer Science 2017-09-29 Jianbo Guo , Guangxiang Zhu , Jian Li

Generative Adversarial Networks (GANs) are powerful Machine Learning models capable of generating fully synthetic samples of a desired phenomenon with a high resolution. Despite their success, the training process of a GAN is highly…

Machine Learning · Computer Science 2022-09-07 Ángel González-Prieto , Alberto Mozo , Edgar Talavera , Sandra Gómez-Canaval

We provide theoretical convergence guarantees on training Generative Adversarial Networks (GANs) via SGD. We consider learning a target distribution modeled by a 1-layer Generator network with a non-linear activation function $\phi(\cdot)$…

Machine Learning · Computer Science 2020-12-02 Vasilis Kontonis , Sihan Liu , Christos Tzamos

Generative adversarial networks (GANs) have been extremely effective in approximating complex distributions of high-dimensional, input data samples, and substantial progress has been made in understanding and improving GAN performance in…

Machine Learning · Computer Science 2018-05-01 Daniel Jiwoong Im , He Ma , Graham Taylor , Kristin Branson

Generative adversarial networks (GANs) are among the most successful models for learning high-complexity, real-world distributions. However, in theory, due to the highly non-convex, non-concave landscape of the minmax training objective,…

Machine Learning · Computer Science 2023-04-04 Zeyuan Allen-Zhu , Yuanzhi Li

We propose a new equilibrium enforcing method paired with a loss derived from the Wasserstein distance for training auto-encoder based Generative Adversarial Networks. This method balances the generator and discriminator during training.…

Machine Learning · Computer Science 2017-06-02 David Berthelot , Thomas Schumm , Luke Metz

We introduce the Probabilistic Generative Adversarial Network (PGAN), a new GAN variant based on a new kind of objective function. The central idea is to integrate a probabilistic model (a Gaussian Mixture Model, in our case) into the GAN…

Machine Learning · Computer Science 2017-08-08 Hamid Eghbal-zadeh , Gerhard Widmer

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

Recent work has shown local convergence of GAN training for absolutely continuous data and generator distributions. In this paper, we show that the requirement of absolute continuity is necessary: we describe a simple yet prototypical…

Machine Learning · Computer Science 2018-08-01 Lars Mescheder , Andreas Geiger , Sebastian Nowozin

Most existing GANs architectures that generate images use transposed convolution or resize-convolution as their upsampling algorithm from lower to higher resolution feature maps in the generator. We argue that this kind of fixed operation…

Computer Vision and Pattern Recognition · Computer Science 2018-02-08 Nhat M. Nguyen , Nilanjan Ray

Generative Adversarial Networks (GANs) are an arrange of two neural networks -- the generator and the discriminator -- that are jointly trained to generate artificial data, such as images, from random inputs. The quality of these generated…

Computer Vision and Pattern Recognition · Computer Science 2021-01-05 Manel Mateos , Alejandro González , Xavier Sevillano

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

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…

Machine Learning · Statistics 2017-07-26 Zhun Sun , Mete Ozay , Takayuki Okatani

Generative adversarial networks (GANs) generate data based on minimizing a divergence between two distributions. The choice of that divergence is therefore critical. We argue that the divergence must take into account the hypothesis set and…

Machine Learning · Computer Science 2019-11-07 Ben Adlam , Corinna Cortes , Mehryar Mohri , Ningshan Zhang

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

This paper describes a new approach for training generative adversarial networks (GAN) to understand the detailed 3D shape of objects. While GANs have been used in this domain previously, they are notoriously hard to train, especially for…

Computer Vision and Pattern Recognition · Computer Science 2017-11-01 Edward Smith , David Meger

While Generative Adversarial Networks (GANs) have empirically produced impressive results on learning complex real-world distributions, recent works have shown that they suffer from lack of diversity or mode collapse. The theoretical work…

Machine Learning · Computer Science 2019-07-02 Yu Bai , Tengyu Ma , Andrej Risteski

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 adversial network (GAN) is a type of generative model that maps a high-dimensional noise to samples in target distribution. However, the dimension of noise required in GAN is not well understood. Previous approaches view GAN as a…

Computer Vision and Pattern Recognition · Computer Science 2024-03-15 Ziran Zhu , Tongda Xu , Ling Li , Yan Wang