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We investigate the impact of the input dimension on the generalization error in generative adversarial networks (GANs). In particular, we first provide both theoretical and practical evidence to validate the existence of an optimal input…

Machine Learning · Computer Science 2024-05-08 Zhiyao Tan , Ling Zhou , Huazhen Lin

In this paper, we study a physics-informed algorithm for Wasserstein Generative Adversarial Networks (WGANs) for uncertainty quantification in solutions of partial differential equations. By using groupsort activation functions in…

Numerical Analysis · Mathematics 2022-08-10 Yihang Gao , Michael K. Ng

In this paper, we propose Orthogonal Generative Adversarial Networks (O-GANs). We decompose the network of discriminator orthogonally and add an extra loss into the objective of common GANs, which can enforce discriminator become an…

Computer Vision and Pattern Recognition · Computer Science 2019-03-06 Jianlin Su

Generative Adversarial Networks (GANs) is a powerful family of models that learn an underlying distribution to generate synthetic data. Many existing studies of GANs focus on improving the realness of the generated image data for visual…

Machine Learning · Computer Science 2021-11-04 Si-An Chen , Chun-Liang Li , Hsuan-Tien Lin

In this study, we employ Generative Adversarial Networks as an oversampling method to generate artificial data to assist with the classification of credit card fraudulent transactions. GANs is a generative model based on the idea of game…

Machine Learning · Computer Science 2019-07-09 Hung Ba

Dual discriminator generative adversarial networks (D2 GANs) were introduced to mitigate the problem of mode collapse in generative adversarial networks. In D2 GANs, two discriminators are employed alongside a generator: one discriminator…

Machine Learning · Computer Science 2025-07-24 Penukonda Naga Chandana , Tejas Srivastava , Gowtham R. Kurri , V. Lalitha

Since their invention, generative adversarial networks (GANs) have become a popular approach for learning to model a distribution of real (unlabeled) data. Convergence problems during training are overcome by Wasserstein GANs which minimize…

Machine Learning · Statistics 2018-03-06 Henning Petzka , Asja Fischer , Denis Lukovnicov

Generative adversarial networks (GANs) are a novel approach to generative modelling, a task whose goal it is to learn a distribution of real data points. They have often proved difficult to train: GANs are unlike many techniques in machine…

Machine Learning · Computer Science 2018-07-02 Samuel A. Barnett

Generative adversarial networks (GANs) can be interpreted as an adversarial game between two players, a discriminator D and a generator G, in which D learns to classify real from fake data and G learns to generate realistic data by…

Machine Learning · Computer Science 2018-09-10 Alexia Jolicoeur-Martineau

Generative Adversarial Networks (GANs) are a popular formulation to train generative models for complex high dimensional data. The standard method for training GANs involves a gradient descent-ascent (GDA) procedure on a minimax…

Machine Learning · Computer Science 2023-05-30 Evan Becker , Parthe Pandit , Sundeep Rangan , Alyson K. Fletcher

Generative Adversarial Networks (GANs) have been shown to produce realistically looking synthetic images with remarkable success, yet their performance seems less impressive when the training set is highly diverse. In order to provide a…

Machine Learning · Computer Science 2018-08-31 Matan Ben-Yosef , Daphna Weinshall

In an effort to address the training instabilities of GANs, we introduce a class of dual-objective GANs with different value functions (objectives) for the generator (G) and discriminator (D). In particular, we model each objective using…

Machine Learning · Computer Science 2023-05-04 Monica Welfert , Kyle Otstot , Gowtham R. Kurri , Lalitha Sankar

We present a novel method and analysis to train generative adversarial networks (GAN) in a stable manner. As shown in recent analysis, training is often undermined by the probability distribution of the data being zero on neighborhoods of…

Computer Vision and Pattern Recognition · Computer Science 2019-09-18 Simon Jenni , Paolo Favaro

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

Distributional causal inference requires estimating not only average treatment effects but also interventional outcome distributions, including quantiles, tail risks, and policy-dependent uncertainty. As a method for distributional causal…

Statistics Theory · Mathematics 2026-05-12 Shu Tamano , Masaaki Imaizumi

We propose to improve unconditional Generative Adversarial Networks (GAN) by training the self-supervised learning with the adversarial process. In particular, we apply self-supervised learning via the geometric transformation on input…

Computer Vision and Pattern Recognition · Computer Science 2019-05-15 Ngoc-Trung Tran , Viet-Hung Tran , Ngoc-Bao Nguyen , Ngai-Man Cheung

Generative Adversarial Networks (GANs) have demonstrated unprecedented success in various image generation tasks. The encouraging results, however, come at the price of a cumbersome training process, during which the generator and…

Computer Vision and Pattern Recognition · Computer Science 2021-06-17 Chengchao Shen , Youtan Yin , Xinchao Wang , Xubin Li , Jie Song , Mingli Song

This paper proposes a new theoretical lens to view Wasserstein generative adversarial networks (WGANs). To minimize the Wasserstein-1 distance between the true data distribution and our estimate of it, we derive a distribution-dependent…

Machine Learning · Statistics 2025-02-05 Zachariah Malik , Yu-Jui Huang

Generative adversarial networks (GAN) have shown remarkable results in image generation tasks. High fidelity class-conditional GAN methods often rely on stabilization techniques by constraining the global Lipschitz continuity. Such…

Machine Learning · Computer Science 2020-08-11 Jiachen Zhong , Xuanqing Liu , Cho-Jui Hsieh

Generative Adversarial Networks (GANs) are formulated as minimax game problems, whereby generators attempt to approach real data distributions by virtue of adversarial learning against discriminators. The intrinsic problem complexity poses…

Computer Vision and Pattern Recognition · Computer Science 2021-08-10 Yuesong Tian , Li Shen , Li Shen , Guinan Su , Zhifeng Li , Wei Liu
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