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Related papers: Some Theoretical Insights into Wasserstein GANs

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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

We introduce the Probabilistic Generative Adversarial Network (PGAN), a new GAN variant based on a new kind of objective function. The central idea is to integrate a probabilistic model (a Gaussian Mixture Model, in our case) into the GAN…

Machine Learning · Computer Science 2017-08-08 Hamid Eghbal-zadeh , Gerhard Widmer

Despite the remarkable empirical successes of Generative Adversarial Networks (GANs), the theoretical guarantees for their statistical accuracy remain rather pessimistic. In particular, the data distributions on which GANs are applied, such…

Machine Learning · Statistics 2025-07-17 Saptarshi Chakraborty , Peter L. Bartlett

Wasserstein-GANs have been introduced to address the deficiencies of generative adversarial networks (GANs) regarding the problems of vanishing gradients and mode collapse during the training, leading to improved convergence behaviour and…

Machine Learning · Computer Science 2019-12-17 Jan Müller , Reinhard Klein , Michael Weinmann

Generative adversarial networks (GANs) have been extremely effective in approximating complex distributions of high-dimensional, input data samples, and substantial progress has been made in understanding and improving GAN performance in…

Machine Learning · Computer Science 2018-05-01 Daniel Jiwoong Im , He Ma , Graham Taylor , Kristin Branson

Generative Adversarial Networks (GANs) have become a powerful framework to learn generative models that arise across a wide variety of domains. While there has been a recent surge in the development of numerous GAN architectures with…

Information Theory · Computer Science 2019-08-13 Jaewoong Cho , Changho Suh

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…

Machine Learning · Computer Science 2019-07-02 Yu Bai , Tengyu Ma , Andrej Risteski

Generative Adversial Networks (GANs) have made a major impact in computer vision and machine learning as generative models. Wasserstein GANs (WGANs) brought Optimal Transport (OT) theory into GANs, by minimizing the $1$-Wasserstein distance…

Machine Learning · Computer Science 2019-02-12 Anton Mallasto , Jes Frellsen , Wouter Boomsma , Aasa Feragen

In the recent years Generative Adversarial Networks (GANs) have demonstrated significant progress in generating authentic looking data. In this work we introduce our simple method to exploit the advancements in well established image-based…

Machine Learning · Computer Science 2019-10-31 Eoin Brophy , Zhengwei Wang , Tomas E. Ward

We introduce a new algorithm named WGAN, an alternative to traditional GAN training. In this new model, we show that we can improve the stability of learning, get rid of problems like mode collapse, and provide meaningful learning curves…

Machine Learning · Statistics 2017-12-08 Martin Arjovsky , Soumith Chintala , Léon Bottou

In recent years, Generative Adversarial Networks (GANs) have received significant attention from the research community. With a straightforward implementation and outstanding results, GANs have been used for numerous applications. Despite…

Machine Learning · Computer Science 2019-08-01 P Manisha , Sujit Gujar

Generative adversarial networks (GANs) are a machine learning technique capable of producing high-quality synthetic images. In the field of materials science, when a crystallographic dataset includes inadequate or difficult-to-obtain…

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

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

Generative Adversarial Networks (GANs) have shown immense potential in fields such as text and image generation. Only very recently attempts to exploit GANs to statistical-mechanics models have been reported. Here we quantitatively test…

Statistical Mechanics · Physics 2024-05-07 Daniele Lanzoni , Olivier Pierre-Louis , Francesco Montalenti

Generative adversarial networks (GANs) have an enormous potential impact on digital content creation, e.g., photo-realistic digital avatars, semantic content editing, and quality enhancement of speech and images. However, the performance of…

Artificial Intelligence · Computer Science 2021-09-01 Pavel Andreev , Alexander Fritzler , Dmitry Vetrov

This paper explains the math behind a generative adversarial network (GAN) model and why it is hard to be trained. Wasserstein GAN is intended to improve GANs' training by adopting a smooth metric for measuring the distance between two…

Machine Learning · Computer Science 2019-04-22 Lilian Weng

Generative Adversarial Networks (GANs) are commonly used for modeling complex distributions of data. Both the generators and discriminators of GANs are often modeled by neural networks, posing a non-transparent optimization problem which is…

Machine Learning · Computer Science 2022-03-22 Arda Sahiner , Tolga Ergen , Batu Ozturkler , Burak Bartan , John Pauly , Morteza Mardani , Mert Pilanci

In recent years, Generative Adversarial Networks (GANs) have become a hot topic among researchers and engineers that work with deep learning. It has been a ground-breaking technique which can generate new pieces of content of data in a…

Computer Vision and Pattern Recognition · Computer Science 2022-07-25 Parthak Mehta , Sarthak Mishra , Nikhil Chouhan , Neel Pethani , Ishani Saha

Generative adversarial networks (GANs) are recently highly successful in generative applications involving images and start being applied to time series data. Here we describe EEG-GAN as a framework to generate electroencephalographic (EEG)…

Signal Processing · Electrical Eng. & Systems 2018-06-07 Kay Gregor Hartmann , Robin Tibor Schirrmeister , Tonio Ball