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Studied here are Wasserstein generative adversarial networks (WGANs) with GroupSort neural networks as their discriminators. It is shown that the error bound of the approximation for the target distribution depends on the width and depth…

机器学习 · 计算机科学 2023-07-03 Yihang Gao , Michael K. Ng , Mingjie Zhou

Generative adversarial nets (GANs) and variational auto-encoders have significantly improved our distribution modeling capabilities, showing promise for dataset augmentation, image-to-image translation and feature learning. However, to…

Generative Adversarial Networks (GANs) have been used to model the underlying probability distribution of sample based datasets. GANs are notoriuos for training difficulties and their dependence on arbitrary hyperparameters. One recent…

机器学习 · 计算机科学 2019-10-03 Thomas Pinetz , Daniel Soukup , Thomas Pock

Wasserstein GANs are based on the idea of minimising the Wasserstein distance between a real and a generated distribution. We provide an in-depth mathematical analysis of differences between the theoretical setup and the reality of training…

机器学习 · 统计学 2021-10-06 Jan Stanczuk , Christian Etmann , Lisa Maria Kreusser , Carola-Bibiane Schönlieb

Generative adversarial networks (GANs) have received a tremendous amount of attention in the past few years, and have inspired applications addressing a wide range of problems. Despite its great potential, GANs are difficult to train.…

机器学习 · 计算机科学 2017-05-09 Zhimin Chen , Yuguang Tong

We investigate the training and performance of generative adversarial networks using the Maximum Mean Discrepancy (MMD) as critic, termed MMD GANs. As our main theoretical contribution, we clarify the situation with bias in GAN loss…

机器学习 · 统计学 2021-01-15 Mikołaj Bińkowski , Danica J. Sutherland , Michael Arbel , Arthur Gretton

Generative Adversarial Networks (GANs) can produce high-quality samples, but do not provide an estimate of the probability density around the samples. However, it has been noted that maximizing the log-likelihood within an energy-based…

机器学习 · 计算机科学 2023-10-03 Omri Ben-Dov , Pravir Singh Gupta , Victoria Abrevaya , Michael J. Black , Partha Ghosh

Generative Adversarial Networks (GANs) are powerful generative models, but suffer from training instability. The recently proposed Wasserstein GAN (WGAN) makes progress toward stable training of GANs, but sometimes can still generate only…

机器学习 · 计算机科学 2017-12-27 Ishaan Gulrajani , Faruk Ahmed , Martin Arjovsky , Vincent Dumoulin , Aaron Courville

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…

机器学习 · 计算机科学 2019-07-02 Yu Bai , Tengyu Ma , Andrej Risteski

Paraphrase generation is an important and challenging natural language processing (NLP) task. In this work, we propose a deep generative model to generate paraphrase with diversity. Our model is based on an encoder-decoder architecture. An…

计算与语言 · 计算机科学 2019-10-01 Zhecheng An , Sicong Liu

We introduce Primal-Dual Wasserstein GAN, a new learning algorithm for building latent variable models of the data distribution based on the primal and the dual formulations of the optimal transport (OT) problem. We utilize the primal…

机器学习 · 统计学 2018-05-25 Mevlana Gemici , Zeynep Akata , Max Welling

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…

机器学习 · 计算机科学 2021-06-21 Gérard Biau , Maxime Sangnier , Ugo Tanielian

This paper explores the problem of generative modeling, aiming to simulate diverse examples from an unknown distribution based on observed examples. While recent studies have focused on quantifying the statistical precision of popular…

统计理论 · 数学 2024-06-07 Elen Vardanyan , Sona Hunanyan , Tigran Galstyan , Arshak Minasyan , Arnak Dalalyan

Wasserstein Generative Adversarial Networks (WGANs) can be used to generate realistic samples from complicated image distributions. The Wasserstein metric used in WGANs is based on a notion of distance between individual images, which…

计算机视觉与模式识别 · 计算机科学 2019-01-14 Jonas Adler , Sebastian Lunz

Generative-adversarial networks (GANs) have been used to produce data closely resembling example data in a compressed, latent space that is close to sufficient for reconstruction in the original vector space. The Wasserstein metric has been…

机器学习 · 统计学 2022-10-10 Oliver Serang

We introduce a new method for training generative adversarial networks by applying the Wasserstein-2 metric proximal on the generators. The approach is based on Wasserstein information geometry. It defines a parametrization invariant…

机器学习 · 计算机科学 2021-02-16 Alex Tong Lin , Wuchen Li , Stanley Osher , Guido Montufar

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…

机器学习 · 计算机科学 2022-06-10 Jian Huang , Yuling Jiao , Zhen Li , Shiao Liu , Yang Wang , Yunfei Yang

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…

计算机视觉与模式识别 · 计算机科学 2018-03-06 Xiang Wei , Boqing Gong , Zixia Liu , Wei Lu , Liqiang Wang

The study of multidimensional discriminator (critic) output for Generative Adversarial Networks has been underexplored in the literature. In this paper, we generalize the Wasserstein GAN framework to take advantage of multidimensional…

机器学习 · 统计学 2022-07-15 Mengyu Dai , Haibin Hang , Anuj Srivastava

Generative adversarial networks (GANs) are an exciting alternative to algorithms for solving density estimation problems---using data to assess how likely samples are to be drawn from the same distribution. Instead of explicitly computing…

机器学习 · 计算机科学 2017-09-20 Christopher Grimm , Yuhang Song , Michael L. Littman
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