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Deep generative models provide powerful tools for distributions over complicated manifolds, such as those of natural images. But many of these methods, including generative adversarial networks (GANs), can be difficult to train, in part…

Machine Learning · Statistics 2017-11-08 Akash Srivastava , Lazar Valkov , Chris Russell , Michael U. Gutmann , Charles Sutton

Generative Adversarial Networks (GAN) can achieve promising performance on learning complex data distributions on different types of data. In this paper, we first show a straightforward extension of existing GAN algorithm is not applicable…

Machine Learning · Computer Science 2018-10-16 Chun-Liang Li , Manzil Zaheer , Yang Zhang , Barnabas Poczos , Ruslan Salakhutdinov

Wasserstein GANs are based on the idea of minimising the Wasserstein distance between a real and a generated distribution. We provide an in-depth mathematical analysis of differences between the theoretical setup and the reality of training…

Machine Learning · Statistics 2021-10-06 Jan Stanczuk , Christian Etmann , Lisa Maria Kreusser , Carola-Bibiane Schönlieb

Conditional distribution is a fundamental quantity for describing the relationship between a response and a predictor. We propose a Wasserstein generative approach to learning a conditional distribution. The proposed approach uses a…

Machine Learning · Computer Science 2021-12-21 Shiao Liu , Xingyu Zhou , Yuling Jiao , Jian Huang

While the manifold hypothesis is widely adopted in modern machine learning, complex data is often better modeled as stratified spaces -- unions of manifolds (strata) of varying dimensions. Stratified learning is challenging due to varying…

Machine Learning · Statistics 2026-04-14 Randy Martinez , Rong Tang , Lizhen Lin

Generative Adversarial Networks (GAN) have received wide attention in the machine learning field for their potential to learn high-dimensional, complex real data distribution. Specifically, they do not rely on any assumptions about the…

Machine Learning · Computer Science 2019-03-01 Yongjun Hong , Uiwon Hwang , Jaeyoon Yoo , Sungroh Yoon

Generative adversarial network (GAN) is a minimax game between a generator mimicking the true model and a discriminator distinguishing the samples produced by the generator from the real training samples. Given an unconstrained…

Machine Learning · Computer Science 2018-10-30 Farzan Farnia , David Tse

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

In recent times, many of the breakthroughs in various vision-related tasks have revolved around improving learning of deep models; these methods have ranged from network architectural improvements such as Residual Networks, to various forms…

Machine Learning · Statistics 2018-05-15 Yan Zuo , Gil Avraham , Tom Drummond

Generating realistic graph-structured data is challenging due to discrete structures, variable sizes, and class-specific connectivity patterns that resist conventional generative modelling. While recent graph generation methods employ…

Machine Learning · Computer Science 2026-02-02 Seyedeh Ava Razi Razavi , James Sargant , Sheridan Houghten , Renata Dividino

In this paper, we present a novel localized Generative Adversarial Net (GAN) to learn on the manifold of real data. Compared with the classic GAN that {\em globally} parameterizes a manifold, the Localized GAN (LGAN) uses local coordinate…

Computer Vision and Pattern Recognition · Computer Science 2018-03-29 Guo-Jun Qi , Liheng Zhang , Hao Hu , Marzieh Edraki , Jingdong Wang , Xian-Sheng Hua

Generative adversarial networks (GANs) are a family of generative models that do not minimize a single training criterion. Unlike other generative models, the data distribution is learned via a game between a generator (the generative…

We investigate how generative adversarial nets (GANs) can help semi-supervised learning on graphs. We first provide insights on working principles of adversarial learning over graphs and then present GraphSGAN, a novel approach to…

Social and Information Networks · Computer Science 2018-09-05 Ming Ding , Jie Tang , Jie Zhang

Optimal transport distances are powerful tools to compare probability distributions and have found many applications in machine learning. Yet their algorithmic complexity prevents their direct use on large scale datasets. To overcome this…

Machine Learning · Statistics 2021-10-14 Kilian Fatras , Younes Zine , Rémi Flamary , Rémi Gribonval , Nicolas Courty

Plenty of scientific and real-world applications are built on magnetic fields and their characteristics. To retrieve the valuable magnetic field information in high resolution, extensive field measurements are required, which are either…

Machine Learning · Computer Science 2023-03-22 Stefan Pollok , Nataniel Olden-Jørgensen , Peter Stanley Jørgensen , Rasmus Bjørk

Generative adversarial networks (GANs) are among the most successful models for learning high-complexity, real-world distributions. However, in theory, due to the highly non-convex, non-concave landscape of the minmax training objective,…

Machine Learning · Computer Science 2023-04-04 Zeyuan Allen-Zhu , Yuanzhi Li

We propose a new approach to train the Generative Adversarial Nets (GANs) with a mixture of generators to overcome the mode collapsing problem. The main intuition is to employ multiple generators, instead of using a single one as in the…

Machine Learning · Computer Science 2017-10-31 Quan Hoang , Tu Dinh Nguyen , Trung Le , Dinh Phung

Suffering from the extreme training data imbalance between seen and unseen classes, most of existing state-of-the-art approaches fail to achieve satisfactory results for the challenging generalized zero-shot learning task. To circumvent the…

Computer Vision and Pattern Recognition · Computer Science 2018-04-13 Yongqin Xian , Tobias Lorenz , Bernt Schiele , Zeynep Akata

Deep learning based generative adversarial networks (GAN) can effectively perform image reconstruction with under-sampled MR data. In general, a large number of training samples are required to improve the reconstruction performance of a…

Image and Video Processing · Electrical Eng. & Systems 2021-05-19 Jun Lv , Guangyuan Li , Xiangrong Tong , Weibo Chen , Jiahao Huang , Chengyan Wang , Guang Yang

In the years since Goodfellow et al. introduced Generative Adversarial Networks (GANs), there has been an explosion in the breadth and quality of generative model applications. Despite this work, GANs still have a long way to go before they…

Machine Learning · Computer Science 2020-04-14 Conor Lazarou