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Related papers: Some Theoretical Insights into Wasserstein GANs

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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

The generative adversarial network (GAN) is a well-known model for learning high-dimensional distributions, but the mechanism for its generalization ability is not understood. In particular, GAN is vulnerable to the memorization phenomenon,…

Machine Learning · Computer Science 2026-02-18 Hongkang Yang , Weinan E

Generative Adversarial Networks (GANs) have shown impressive results in various image synthesis tasks. Vast studies have demonstrated that GANs are more powerful in feature and expression learning compared to other generative models and…

Computer Vision and Pattern Recognition · Computer Science 2025-04-09 Omar De Mitri , Ruyu Wang , Marco F. Huber

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

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…

Machine Learning · Computer Science 2021-02-16 Alex Tong Lin , Wuchen Li , Stanley Osher , Guido Montufar

Generative adversarial networks (GANs) are one of the greatest advances in AI in recent years. With their ability to directly learn the probability distribution of data, and then sample synthetic realistic data. Many applications have…

Generative networks are fundamentally different in their aim and methods compared to CNNs for classification, segmentation, or object detection. They have initially not been meant to be an image analysis tool, but to produce naturally…

Computer Vision and Pattern Recognition · Computer Science 2022-07-11 Markus Wenzel

Generative adversarial networks (GANs) have been extremely successful in generating samples, from seemingly high dimensional probability measures. However, these methods struggle to capture the temporal dependence of joint probability…

Machine Learning · Computer Science 2025-08-26 Shujian Liao , Hao Ni , Lukasz Szpruch , Magnus Wiese , Marc Sabate-Vidales , Baoren Xiao

Generative adversarial networks (GANs) are a hot research topic recently. GANs have been widely studied since 2014, and a large number of algorithms have been proposed. However, there is few comprehensive study explaining the connections…

Machine Learning · Computer Science 2020-01-22 Jie Gui , Zhenan Sun , Yonggang Wen , Dacheng Tao , Jieping Ye

Generative adversarial networks (GAN) are a powerful subclass of generative models. Despite a very rich research activity leading to numerous interesting GAN algorithms, it is still very hard to assess which algorithm(s) perform better than…

Machine Learning · Statistics 2018-10-30 Mario Lucic , Karol Kurach , Marcin Michalski , Sylvain Gelly , Olivier Bousquet

This paper studies generative adversarial networks (GANs) from the perspective of statistical inference. A GAN is a popular machine learning method in which the parameters of two neural networks, a generator and a discriminator, are…

Statistics Theory · Mathematics 2023-12-06 Mika Meitz

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…

Machine Learning · Computer Science 2023-10-03 Omri Ben-Dov , Pravir Singh Gupta , Victoria Abrevaya , Michael J. Black , Partha Ghosh

Generative Adversarial Networks (GANs) have been extremely successful in various application domains such as computer vision, medicine, and natural language processing. Moreover, transforming an object or person to a desired shape become a…

Computer Vision and Pattern Recognition · Computer Science 2020-12-29 Pourya Shamsolmoali , Masoumeh Zareapoor , Eric Granger , Huiyu Zhou , Ruili Wang , M. Emre Celebi , Jie Yang

Generative Adversarial Networks (GANs) have achieved remarkable achievements in image synthesis. These successes of GANs rely on large scale datasets, requiring too much cost. With limited training data, how to stable the training process…

Computer Vision and Pattern Recognition · Computer Science 2022-10-11 Ziqiang Li , Beihao Xia , Jing Zhang , Chaoyue Wang , Bin Li

Ever since its debut, generative adversarial networks (GANs) have attracted tremendous amount of attention. Over the past years, different variations of GANs models have been developed and tailored to different applications in practice.…

Mathematical Finance · Quantitative Finance 2021-09-10 Haoyang Cao , Xin Guo

We are interested in the design of generative networks. The training of these mathematical structures is mostly performed with the help of adversarial (min-max) optimization problems. We propose a simple methodology for constructing such…

Machine Learning · Computer Science 2021-07-16 Kalliopi Basioti , George V. Moustakides

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

Computing optimal transport maps between high-dimensional and continuous distributions is a challenging problem in optimal transport (OT). Generative adversarial networks (GANs) are powerful generative models which have been successfully…

Machine Learning · Computer Science 2019-06-25 Jacob Leygonie , Jennifer She , Amjad Almahairi , Sai Rajeswar , Aaron Courville

Attributing the pixels of an input image to a certain category is an important and well-studied problem in computer vision, with applications ranging from weakly supervised localisation to understanding hidden effects in the data. In recent…

Computer Vision and Pattern Recognition · Computer Science 2018-06-27 Christian F. Baumgartner , Lisa M. Koch , Kerem Can Tezcan , Jia Xi Ang , Ender Konukoglu

Adversarial examples are a hot topic due to their abilities to fool a classifier's prediction. There are two strategies to create such examples, one uses the attacked classifier's gradients, while the other only requires access to the…

Machine Learning · Computer Science 2020-01-29 Jean-Christophe Burnel , Kilian Fatras , Nicolas Courty