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This paper studies the rates of convergence for learning distributions implicitly with the adversarial framework and Generative Adversarial Networks (GANs), which subsume Wasserstein, Sobolev, MMD GAN, and Generalized/Simulated Method of…

统计理论 · 数学 2021-10-12 Tengyuan Liang

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…

机器学习 · 计算机科学 2019-07-02 Yu Bai , Tengyu Ma , Andrej Risteski

In traditional generative modeling, good data representation is very often a base for a good machine learning model. It can be linked to good representations encoding more explanatory factors that are hidden in the original data. With the…

机器学习 · 计算机科学 2019-04-01 Maciej Zamorski , Adrian Zdobylak , Maciej Zięba , Jerzy Świątek

Studied here are Wasserstein generative adversarial networks (WGANs) with GroupSort neural networks as their discriminators. It is shown that the error bound of the approximation for the target distribution depends on the width and depth…

机器学习 · 计算机科学 2023-07-03 Yihang Gao , Michael K. Ng , Mingjie Zhou

Generative adversarial networks (GANs) are powerful generative models, but usually suffer from instability and generalization problem which may lead to poor generations. Most existing works focus on stabilizing the training of the…

机器学习 · 计算机科学 2020-04-29 Shufei Zhang , Zhuang Qian , Kaizhu Huang , Jimin Xiao , Yuan He

The generative adversarial network (GAN) is a well-known model for learning high-dimensional distributions, but the mechanism for its generalization ability is not understood. In particular, GAN is vulnerable to the memorization phenomenon,…

机器学习 · 计算机科学 2026-02-18 Hongkang Yang , Weinan E

Generative models based on latent variables, such as generative adversarial networks (GANs) and variational auto-encoders (VAEs), have gained lots of interests due to their impressive performance in many fields. However, many data such as…

机器学习 · 统计学 2024-09-30 Yixuan Qiu , Qingyi Gao , Xiao Wang

Generative adversarial nets (GANs) and variational auto-encoders have significantly improved our distribution modeling capabilities, showing promise for dataset augmentation, image-to-image translation and feature learning. However, to…

Generative adversarial networks (GANs) have attracted intense interest in the field of generative models. However, few investigations focusing either on the theoretical analysis or on algorithm design for the approximation ability of the…

机器学习 · 计算机科学 2020-07-14 Xuejiao Liu , Yao Xu , Xueshuang Xiang

Generative adversarial networks (GANs) are an exciting alternative to algorithms for solving density estimation problems---using data to assess how likely samples are to be drawn from the same distribution. Instead of explicitly computing…

机器学习 · 计算机科学 2017-09-20 Christopher Grimm , Yuhang Song , Michael L. Littman

Traditional generative adversarial networks (GAN) and many of its variants are trained by minimizing the KL or JS-divergence loss that measures how close the generated data distribution is from the true data distribution. A recent advance…

计算机视觉与模式识别 · 计算机科学 2017-04-18 Felix Juefei-Xu , Vishnu Naresh Boddeti , Marios Savvides

Generative adversarial networks (GANs) have enjoyed much success in learning high-dimensional distributions. Learning objectives approximately minimize an $f$-divergence ($f$-GANs) or an integral probability metric (Wasserstein GANs)…

机器学习 · 计算机科学 2020-06-19 Jiaming Song , Stefano Ermon

Generative Adversarial Networks (GANs) are modern methods to learn the underlying distribution of a data set. GANs have been widely used in sample synthesis, de-noising, domain transfer, etc. GANs, however, are designed in a model-free…

机器学习 · 计算机科学 2021-03-01 Mucong Ding , Constantinos Daskalakis , Soheil Feizi

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…

机器学习 · 计算机科学 2018-05-01 Daniel Jiwoong Im , He Ma , Graham Taylor , Kristin Branson

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…

机器学习 · 计算机科学 2019-03-01 Yongjun Hong , Uiwon Hwang , Jaeyoon Yoo , Sungroh Yoon

Generative Adversarial Networks (GANs) have shown great promise in modeling high dimensional data. The learning objective of GANs usually minimizes some measure discrepancy, \textit{e.g.}, $f$-divergence~($f$-GANs) or Integral Probability…

机器学习 · 计算机科学 2020-04-07 Yuxuan Song , Qiwei Ye , Minkai Xu , Tie-Yan Liu

Generative adversarial networks (GANs) can implicitly learn rich distributions over images, audio, and data which are hard to model with an explicit likelihood. We present a practical Bayesian formulation for unsupervised and…

机器学习 · 统计学 2017-11-09 Yunus Saatchi , Andrew Gordon Wilson

We provide a general framework for designing Generative Adversarial Networks (GANs) to solve high dimensional robust statistics problems, which aim at estimating unknown parameter of the true distribution given adversarially corrupted…

机器学习 · 计算机科学 2022-02-04 Banghua Zhu , Jiantao Jiao , Michael I. Jordan

Adversarial Regression is a proposition to perform high dimensional non-linear regression with uncertainty estimation. We used Conditional Generative Adversarial Network to obtain an estimate of the full predictive distribution for a new…

机器学习 · 统计学 2019-10-22 Yoann Boget

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…

机器学习 · 计算机科学 2018-08-31 Matan Ben-Yosef , Daphna Weinshall