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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

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

A popular heuristic for improved performance in Generative adversarial networks (GANs) is to use some form of gradient penalty on the discriminator. This gradient penalty was originally motivated by a Wasserstein distance formulation.…

Machine Learning · Computer Science 2020-11-25 Alexia Jolicoeur-Martineau , Ioannis Mitliagkas

In this paper, we aim to understand the generalization properties of generative adversarial networks (GANs) from a new perspective of privacy protection. Theoretically, we prove that a differentially private learning algorithm used for…

Machine Learning · Computer Science 2019-09-26 Bingzhe Wu , Shiwan Zhao , ChaoChao Chen , Haoyang Xu , Li Wang , Xiaolu Zhang , Guangyu Sun , Jun Zhou

Attention based neural networks are state of the art in a large range of applications. However, their performance tends to degrade when the number of layers increases. In this work, we show that enforcing Lipschitz continuity by normalizing…

Machine Learning · Computer Science 2021-09-14 George Dasoulas , Kevin Scaman , Aladin Virmaux

Reinforcement learning (RL) has shown great potential in training agile and adaptable controllers for legged robots, enabling them to learn complex locomotion behaviors directly from experience. However, policies trained in simulation often…

Robotics · Computer Science 2026-03-23 Jaeyong Shin , Woohyun Cha , Donghyeon Kim , Junhyeok Cha , Jaeheung Park

Generative Adversarial Networks (GANs) are known to be difficult to train, despite considerable research effort. Several regularization techniques for stabilizing training have been proposed, but they introduce non-trivial computational…

Machine Learning · Computer Science 2020-02-20 Han Zhang , Zizhao Zhang , Augustus Odena , Honglak Lee

Despite the success of Lipschitz regularization in stabilizing GAN training, the exact reason of its effectiveness remains poorly understood. The direct effect of $K$-Lipschitz regularization is to restrict the $L2$-norm of the neural…

Computer Vision and Pattern Recognition · Computer Science 2020-08-26 Yipeng Qin , Niloy Mitra , Peter Wonka

We propose a stable method to train Wasserstein generative adversarial networks. In order to enhance stability, we consider two objective functions using the $c$-transform based on Kantorovich duality which arises in the theory of optimal…

Machine Learning · Computer Science 2021-10-28 Dohyun Kwon , Yeoneung Kim , Guido Montúfar , Insoon Yang

The Lipschitz bound, a technique from robust statistics, can limit the maximum changes in the output concerning the input, taking into account associated irrelevant biased factors. It is an efficient and provable method for examining the…

Machine Learning · Computer Science 2023-12-13 Yaning Jia , Chunhui Zhang

In this work we study input gradient regularization of deep neural networks, and demonstrate that such regularization leads to generalization proofs and improved adversarial robustness. The proof of generalization does not overcome the…

Machine Learning · Computer Science 2019-09-13 Chris Finlay , Jeff Calder , Bilal Abbasi , Adam Oberman

To improve the stability of GAN training we need to understand why they can produce realistic samples. Presently, this is attributed to properties of the divergence obtained under an optimal discriminator. This argument has a fundamental…

Machine Learning · Computer Science 2020-11-03 Florian Schäfer , Hongkai Zheng , Anima Anandkumar

Wasserstein GAN(WGAN) is a model that minimizes the Wasserstein distance between a data distribution and sample distribution. Recent studies have proposed stabilizing the training process for the WGAN and implementing the Lipschitz…

Machine Learning · Computer Science 2018-10-08 Cheolhyeong Kim , Seungtae Park , Hyung Ju Hwang

Anomaly detection is of great interest in fields where abnormalities need to be identified and corrected (e.g., medicine and finance). Deep learning methods for this task often rely on autoencoder reconstruction error, sometimes in…

Machine Learning · Computer Science 2020-07-28 Alexander Tong , Guy Wolf , Smita Krishnaswamy

As deep neural networks (DNNs) are increasingly deployed in sensitive applications, ensuring their security and robustness has become critical. A major threat to DNNs arises from adversarial attacks, where small input perturbations can lead…

Machine Learning · Computer Science 2025-11-27 Erh-Chung Chen , Pin-Yu Chen , I-Hsin Chung , Che-Rung Lee

Generative Adversarial Networks (GANs) have been promising in the field of image generation, however, they have been hard to train for language generation. GANs were originally designed to output differentiable values, so discrete language…

Machine Learning · Computer Science 2018-07-04 Mehrad Moradshahi , Utkarsh Contractor

Training of Generative Adversarial Networks (GANs) is notoriously fragile, requiring to maintain a careful balance between the generator and the discriminator in order to perform well. To mitigate this issue we introduce a new…

Computer Vision and Pattern Recognition · Computer Science 2019-10-29 Dan Zhang , Anna Khoreva

One of the challenges in the study of generative adversarial networks is the instability of its training. In this paper, we propose a novel weight normalization technique called spectral normalization to stabilize the training of the…

Machine Learning · Computer Science 2018-02-19 Takeru Miyato , Toshiki Kataoka , Masanori Koyama , Yuichi Yoshida

Natural images can be regarded as residing in a manifold that is embedded in a higher dimensional Euclidean space. Generative Adversarial Networks (GANs) try to learn the distribution of the real images in the manifold to generate samples…

Image and Video Processing · Electrical Eng. & Systems 2021-01-12 Sheng Zhong , Shifu Zhou

This paper introduces a novel approach to image denoising that leverages the advantages of Generative Adversarial Networks (GANs). Specifically, we propose a model that combines elements of the Pix2Pix model and the Wasserstein GAN (WGAN)…

Image and Video Processing · Electrical Eng. & Systems 2024-08-01 Luca Tirel , Ali Mohamed Ali , Hashim A. Hashim