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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

Generative Adversarial Networks (GANs) have been widely adopted in various fields. However, existing GANs generally are not able to preserve the manifold of data space, mainly due to the simple representation of discriminator for the…

Computer Vision and Pattern Recognition · Computer Science 2021-09-21 Haozhe Liu , Hanbang Liang , Xianxu Hou , Haoqian Wu , Feng Liu , Linlin Shen

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

Deep generative models based on Generative Adversarial Networks (GANs) have demonstrated impressive sample quality but in order to work they require a careful choice of architecture, parameter initialization, and selection of…

Machine Learning · Computer Science 2017-11-08 Kevin Roth , Aurelien Lucchi , Sebastian Nowozin , Thomas Hofmann

Robust estimation is an important problem in statistics which aims at providing a reasonable estimator when the data-generating distribution lies within an appropriately defined ball around an uncontaminated distribution. Although minimax…

Statistics Theory · Mathematics 2021-01-21 Zheng Liu , Po-Ling Loh

Obtaining reliable data describing local poverty metrics at a granularity that is informative to policy-makers requires expensive and logistically difficult surveys, particularly in the developing world. Not surprisingly, the poverty…

Computer Vision and Pattern Recognition · Computer Science 2019-04-29 Anthony Perez , Swetava Ganguli , Stefano Ermon , George Azzari , Marshall Burke , David Lobell

Recent years have witnessed the rapid progress of generative adversarial networks (GANs). However, the success of the GAN models hinges on a large amount of training data. This work proposes a regularization approach for training robust GAN…

Machine Learning · Computer Science 2021-04-08 Hung-Yu Tseng , Lu Jiang , Ce Liu , Ming-Hsuan Yang , Weilong Yang

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

We study quantitatively the overparametrization limit of the original Wasserstein-GAN algorithm. Effectively, we show that the algorithm is a stochastic discretization of a system of continuity equations for the parameter distributions of…

Analysis of PDEs · Mathematics 2024-05-30 M. G. Delgadino , Bruno B. Suassuna , Rene Cabrera

Generative Adversarial Networks (GANs) are one of the most popular tools for learning complex high dimensional distributions. However, generalization properties of GANs have not been well understood. In this paper, we analyze the…

Machine Learning · Computer Science 2019-02-12 Hoang Thanh-Tung , Truyen Tran , Svetha Venkatesh

In this paper, we investigate the training process of generative networks that use a type of probability density distance named particle-based distance as the objective function, e.g. MMD GAN, Cram\'er GAN, EIEG GAN. However, these GANs…

Machine Learning · Computer Science 2023-07-10 Chuqi Chen , Yue Wu , Yang Xiang

In recent years, multi-scale generative adversarial networks (GANs) have been proposed to build generalized image processing models based on single sample. Constraining on the sample size, multi-scale GANs have much difficulty converging to…

Computer Vision and Pattern Recognition · Computer Science 2022-12-01 Jing Tang , Bo Tao , Zeyu Gong , Zhouping Yin

In this paper, we propose a generative model, Temporal Generative Adversarial Nets (TGAN), which can learn a semantic representation of unlabeled videos, and is capable of generating videos. Unlike existing Generative Adversarial Nets…

Machine Learning · Computer Science 2017-08-21 Masaki Saito , Eiichi Matsumoto , Shunta Saito

We know SGAN may have a risk of gradient vanishing. A significant improvement is WGAN, with the help of 1-Lipschitz constraint on discriminator to prevent from gradient vanishing. Is there any GAN having no gradient vanishing and no…

Machine Learning · Computer Science 2018-12-18 Jianlin Su

Recent advancements in real image editing have been attributed to the exploration of Generative Adversarial Networks (GANs) latent space. However, the main challenge of this procedure is GAN inversion, which aims to map the image to the…

Computer Vision and Pattern Recognition · Computer Science 2023-09-01 Egor Sevriugov , Ivan Oseledets

Common measures of brain functional connectivity (FC) including covariance and correlation matrices are semi-positive definite (SPD) matrices residing on a cone-shape Riemannian manifold. Despite its remarkable success for Euclidean-valued…

Machine Learning · Computer Science 2022-12-13 Yee-Fan Tan , Chee-Ming Ting , Fuad Noman , Raphaël C. -W. Phan , Hernando Ombao

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

One of the main challenges in the parametrization of geological models is the ability to capture complex geological structures often observed in the subsurface. In recent years, generative adversarial networks (GAN) were proposed as an…

Machine Learning · Statistics 2019-04-10 Shing Chan , Ahmed H. Elsheikh

Generating realistic synthetic populations is essential for agent-based models (ABM) in transportation and urban planning. Current methods face two major limitations. First, many rely on a single dataset or follow a sequential data fusion…

Artificial Intelligence · Computer Science 2026-02-18 Farbod Abbasi , Zachary Patterson , Bilal Farooq

Both generative adversarial networks (GAN) in unsupervised learning and actor-critic methods in reinforcement learning (RL) have gained a reputation for being difficult to optimize. Practitioners in both fields have amassed a large number…

Machine Learning · Computer Science 2017-01-19 David Pfau , Oriol Vinyals
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