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We study how well generative adversarial networks (GAN) learn probability distributions from finite samples by analyzing the convergence rates of these models. Our analysis is based on a new oracle inequality that decomposes the estimation…

Machine Learning · Computer Science 2022-05-26 Yunfei Yang

Generative adversarial networks (GANs) have shown promising results when applied on partial differential equations and financial time series generation. We investigate if GANs can also be used to approximate one-dimensional Ito stochastic…

Machine Learning · Computer Science 2021-04-06 Jorino van Rhijn , Cornelis W. Oosterlee , Lech A. Grzelak , Shuaiqiang Liu

This paper studies how well generative adversarial networks (GANs) learn probability distributions from finite samples. Our main results establish the convergence rates of GANs under a collection of integral probability metrics defined…

Machine Learning · Computer Science 2022-06-10 Jian Huang , Yuling Jiao , Zhen Li , Shiao Liu , Yang Wang , Yunfei Yang

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

Recommender systems (RSs) now play a very important role in the online lives of people as they serve as personalized filters for users to find relevant items from an array of options. Owing to their effectiveness, RSs have been widely…

Information Retrieval · Computer Science 2020-09-22 Min Gao , Junwei Zhang , Junliang Yu , Jundong Li , Junhao Wen , Qingyu Xiong

This work offers a novel theoretical perspective on why, despite numerous attempts, adversarial approaches to generative modeling (e.g., GANs) have not been as popular for certain generation tasks, particularly sequential tasks such as…

Machine Learning · Computer Science 2022-05-23 David Alvarez-Melis , Vikas Garg , Adam Tauman Kalai

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

Generative adversarial networks (GANs) have been extensively studied in the past few years. Arguably their most significant impact has been in the area of computer vision where great advances have been made in challenges such as plausible…

Machine Learning · Computer Science 2021-01-01 Zhengwei Wang , Qi She , Tomas E. Ward

The GANs are generative models whose random samples realistically reflect natural images. It also can generate samples with specific attributes by concatenating a condition vector into the input, yet research on this field is not well…

Machine Learning · Computer Science 2016-11-07 Hanock Kwak , Byoung-Tak Zhang

The ability of the Generative Adversarial Networks (GANs) framework to learn generative models mapping from simple latent distributions to arbitrarily complex data distributions has been demonstrated empirically, with compelling results…

Machine Learning · Computer Science 2017-04-05 Jeff Donahue , Philipp Krähenbühl , Trevor Darrell

Generative Adversarial Networks have been crucial in the developments made in unsupervised learning in recent times. Exemplars of image synthesis from text or other images, these networks have shown remarkable improvements over conventional…

Machine Learning · Computer Science 2019-09-02 Rohan Akut , Sumukh Marathe , Rucha Apte , Ishan Joshi , Siddhivinayak Kulkarni

While generative adversarial networks (GANs) have revolutionized machine learning, a number of open questions remain to fully understand them and exploit their power. One of these questions is how to efficiently achieve proper diversity and…

Computer Vision and Pattern Recognition · Computer Science 2020-02-26 Ze Wang , Xiuyuan Cheng , Guillermo Sapiro , Qiang Qiu

We revisit the problem of generating synthetic data under differential privacy. To address the core limitations of marginal-based methods, we propose the Private Adaptive Generative Adversarial Network with Bayes Network Structure…

Machine Learning · Statistics 2025-11-12 Ke Jia , Yuheng Ma , Yang Li , Feifei Wang

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

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

The intensive computation and memory requirements of generative adversarial neural networks (GANs) hinder its real-world deployment on edge devices such as smartphones. Despite the success in model reduction of CNNs, neural network…

Neural and Evolutionary Computing · Computer Science 2019-01-25 Peiqi Wang , Dongsheng Wang , Yu Ji , Xinfeng Xie , Haoxuan Song , XuXin Liu , Yongqiang Lyu , Yuan Xie

In topology optimization using deep learning, load and boundary conditions represented as vectors or sparse matrices often miss the opportunity to encode a rich view of the design problem, leading to less than ideal generalization results.…

Computational Engineering, Finance, and Science · Computer Science 2020-03-12 Zhenguo Nie , Tong Lin , Haoliang Jiang , Levent Burak Kara

Generative Adversarial Networks (GANs) advance face synthesis through learning the underlying distribution of observed data. Despite the high-quality generated faces, some minority groups can be rarely generated from the trained models due…

Computer Vision and Pattern Recognition · Computer Science 2021-03-30 Shuhan Tan , Yujun Shen , Bolei Zhou

Generative adversarial network (GAN) has gotten wide re-search interest in the field of deep learning. Variations of GAN have achieved competitive results on specific tasks. However, the stability of training and diversity of generated…

Computer Vision and Pattern Recognition · Computer Science 2018-09-07 Haoxuan You , Zhicheng Jiao , Haojun Xu , Jie Li , Ying Wang , Xinbo Gao

Generating time series data using Generative Adversarial Networks (GANs) presents several prevalent challenges, such as slow convergence, information loss in embedding spaces, instability, and performance variability depending on the series…

Machine Learning · Computer Science 2024-09-24 MohammadReza EskandariNasab , Shah Muhammad Hamdi , Soukaina Filali Boubrahimi