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One of the challenges in the study of Generative Adversarial Networks (GANs) is the difficulty of its performance control. Lipschitz constraint is essential in guaranteeing training stability for GANs. Although heuristic methods such as…

Computer Vision and Pattern Recognition · Computer Science 2020-12-24 Kanglin Liu , Guoping Qiu

Despite the growing interest in generative adversarial networks (GANs), training GANs remains a challenging problem, both from a theoretical and a practical standpoint. To address this challenge, in this paper, we propose a novel way to…

Machine Learning · Computer Science 2018-11-27 Qunwei Li , Bhavya Kailkhura , Rushil Anirudh , Yi Zhou , Yingbin Liang , Pramod Varshney

Conditional Generative Adversarial Networks are known to be difficult to train, especially when the conditions are continuous and high-dimensional. To partially alleviate this difficulty, we propose a simple generator regularization term on…

Machine Learning · Computer Science 2021-03-30 Yufeng Zheng , Yunkai Zhang , Zeyu Zheng

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

Traditional generative adversarial networks (GAN) and many of its variants are trained by minimizing the KL or JS-divergence loss that measures how close the generated data distribution is from the true data distribution. A recent advance…

Computer Vision and Pattern Recognition · Computer Science 2017-04-18 Felix Juefei-Xu , Vishnu Naresh Boddeti , Marios Savvides

Despite the growing prominence of generative adversarial networks (GANs), optimization in GANs is still a poorly understood topic. In this paper, we analyze the "gradient descent" form of GAN optimization i.e., the natural setting where we…

Machine Learning · Computer Science 2018-01-16 Vaishnavh Nagarajan , J. Zico Kolter

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…

Machine Learning · Computer Science 2017-09-20 Christopher Grimm , Yuhang Song , Michael L. Littman

Wasserstein Generative Adversarial Networks (WGANs) provide a versatile class of models, which have attracted great attention in various applications. However, this framework has two main drawbacks: (i) Wasserstein-1 (or Earth-Mover)…

Machine Learning · Statistics 2021-07-20 Xin Guo , Johnny Hong , Tianyi Lin , Nan Yang

Generative Adversarial Networks (GANs) have been impactful on many problems and applications but suffer from unstable training. The Wasserstein GAN (WGAN) leverages the Wasserstein distance to avoid the caveats in the minmax two-player…

Machine Learning · Statistics 2021-09-14 Yao Chen , Qingyi Gao , Xiao Wang

We formulate the training of generative adversarial networks (GANs) as a Nash equilibrium seeking problem. To stabilize the training process and find a Nash equilibrium, we propose an asymmetric regularization mechanism based on the classic…

Computer Science and Game Theory · Computer Science 2026-01-21 Spyridon C. Giagtzoglou , Mark H. M. Winands , Barbara Franci

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

This paper is concerned with the training of neural networks (NNs) under semidefinite constraints, which allows for NN training with robustness and stability guarantees. In particular, we focus on Lipschitz bounds for NNs. Exploiting the…

Machine Learning · Computer Science 2022-09-21 Patricia Pauli , Niklas Funcke , Dennis Gramlich , Mohamed Amine Msalmi , Frank Allgöwer

Generative adversarial networks (GANs) are a machine learning framework comprising a generative model for sampling from a target distribution and a discriminative model for evaluating the proximity of a sample to the target distribution.…

Quantum Physics · Physics 2021-07-22 Daniel Herr , Benjamin Obert , Matthias Rosenkranz

Generative Adversarial Networks (GANs) have become a very popular tool for implicitly learning high-dimensional probability distributions. Several improvements have been made to the original GAN formulation to address some of its…

Computer Vision and Pattern Recognition · Computer Science 2019-11-11 Parimala Kancharla , Sumohana S. Channappayya

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…

Machine Learning · Statistics 2022-10-10 Oliver Serang

The generative adversarial network (GAN) aims to approximate an unknown distribution via a parameterized neural network (NN). While GANs have been widely applied in reinforcement and semi-supervised learning as well as computer vision…

Machine Learning · Computer Science 2026-02-06 Yu-Jui Huang , Hsin-Hua Shen , Yu-Chih Huang , Wan-Yi Lin , Shih-Chun Lin

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

This paper introduces a promising alternative method for training Generative Adversarial Networks (GANs) on large-scale datasets with clear theoretical guarantees. GANs are typically learned through a minimax game between a generator and a…

Computer Vision and Pattern Recognition · Computer Science 2025-01-22 Chang Wan , Ke Fan , Xinwei Sun , Yanwei Fu , Minglu Li , Yunliang Jiang , Zhonglong Zheng

Wasserstein GANs (WGANs), built upon the Kantorovich-Rubinstein (KR) duality of Wasserstein distance, is one of the most theoretically sound GAN models. However, in practice it does not always outperform other variants of GANs. This is…

Machine Learning · Computer Science 2021-01-13 Minkai Xu , Zhiming Zhou , Guansong Lu , Jian Tang , Weinan Zhang , Yong Yu

Generative adversarial networks (GANs) are powerful generative models, but usually suffer from instability and generalization problem which may lead to poor generations. Most existing works focus on stabilizing the training of the…

Machine Learning · Computer Science 2020-04-29 Shufei Zhang , Zhuang Qian , Kaizhu Huang , Jimin Xiao , Yuan He