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Generative Adversarial Networks (GANs) are a widely-used tool for generative modeling of complex data. Despite their empirical success, the training of GANs is not fully understood due to the min-max optimization of the generator and…

Machine Learning · Computer Science 2022-08-23 Evan Becker , Parthe Pandit , Sundeep Rangan , Alyson K. Fletcher

Generative adversarial networks (GANs) are a class of deep generative models which aim to learn a target distribution in an unsupervised fashion. While they were successfully applied to many problems, training a GAN is a notoriously…

Machine Learning · Computer Science 2019-05-15 Karol Kurach , Mario Lucic , Xiaohua Zhai , Marcin Michalski , Sylvain Gelly

Generative Adversarial Networks (GANs) have proven to be a powerful framework for learning to draw samples from complex distributions. However, GANs are also notoriously difficult to train, with mode collapse and oscillations a common…

Machine Learning · Statistics 2018-11-28 Kevin J Liang , Chunyuan Li , Guoyin Wang , Lawrence Carin

Evaluating generative adversarial networks (GANs) is inherently challenging. In this paper, we revisit several representative sample-based evaluation metrics for GANs, and address the problem of how to evaluate the evaluation metrics. We…

Machine Learning · Computer Science 2018-08-20 Qiantong Xu , Gao Huang , Yang Yuan , Chuan Guo , Yu Sun , Felix Wu , Kilian Weinberger

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…

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…

Statistics Theory · Mathematics 2021-10-12 Tengyuan Liang

We study the problem of missing data imputation for graph signals from signed one-bit quantized observations. More precisely, we consider that the true graph data is drawn from a distribution of signals that are smooth or bandlimited on a…

Signal Processing · Electrical Eng. & Systems 2019-11-21 Amarlingam Madapu , Santiago Segarra , Sundeep Prabhakar Chepuri , Antonio G. Marques

Generative Adversarial Networks (GANs) is a novel class of deep generative models which has recently gained significant attention. GANs learns complex and high-dimensional distributions implicitly over images, audio, and data. However,…

Machine Learning · Computer Science 2023-04-06 Divya Saxena , Jiannong Cao

Generative adversarial networks (GANs) are successfully used for image synthesis but are known to face instability during training. In contrast, probabilistic diffusion models (DMs) are stable and generate high-quality images, at the cost…

Computer Vision and Pattern Recognition · Computer Science 2023-04-19 Edgardo Solano-Carrillo , Angel Bueno Rodriguez , Borja Carrillo-Perez , Yannik Steiniger , Jannis Stoppe

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…

Machine Learning · Computer Science 2017-09-20 Christopher Grimm , Yuhang Song , Michael L. Littman

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

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

Generative networks are fundamentally different in their aim and methods compared to CNNs for classification, segmentation, or object detection. They have initially not been meant to be an image analysis tool, but to produce naturally…

Computer Vision and Pattern Recognition · Computer Science 2022-07-11 Markus Wenzel

Generative adversarial networks (GAN) approximate a target data distribution by jointly optimizing an objective function through a "two-player game" between a generator and a discriminator. Despite their empirical success, however, two very…

Machine Learning · Computer Science 2017-05-30 Shuang Liu , Olivier Bousquet , Kamalika Chaudhuri

Generative adversarial networks (GANs) are emerging machine learning models for generating synthesized data similar to real data by jointly training a generator and a discriminator. In many applications, data and computational resources are…

Machine Learning · Computer Science 2021-07-20 Jinke Ren , Chonghe Liu , Guanding Yu , Dongning Guo

In this article, we study the problem of high-dimensional conditional independence testing, a key building block in statistics and machine learning. We propose an inferential procedure based on double generative adversarial networks (GANs).…

Machine Learning · Statistics 2021-11-08 Chengchun Shi , Tianlin Xu , Wicher Bergsma , Lexin Li

Ever since its debut, generative adversarial networks (GANs) have attracted tremendous amount of attention. Over the past years, different variations of GANs models have been developed and tailored to different applications in practice.…

Mathematical Finance · Quantitative Finance 2021-09-10 Haoyang Cao , Xin Guo

Generative Adversarial Networks (GANs) are a recent advancement in unsupervised machine learning. They are a cat-and-mouse game between two neural networks: [1] a discriminator network which learns to validate whether a sample is real or…

Cosmology and Nongalactic Astrophysics · Physics 2020-06-23 Olivia Curtis , Tereasa G. Brainerd

In recent years, Generative Adversarial Networks (GANs) have shown substantial progress in modeling complex distributions of data. These networks have received tremendous attention since they can generate implicit probabilistic models that…

Signal Processing · Electrical Eng. & Systems 2018-10-25 Mehdi Ahmadi , Timothy Nest , Mostafa Abdelnaim , Thanh-Dung Le

This paper first presents a theory for generative adversarial methods that does not rely on the traditional minimax formulation. It shows that with a strong discriminator, a good generator can be learned so that the KL divergence between…

Machine Learning · Statistics 2018-06-11 Rie Johnson , Tong Zhang