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This paper studies generative adversarial networks (GANs) from the perspective of statistical inference. A GAN is a popular machine learning method in which the parameters of two neural networks, a generator and a discriminator, are…

Statistics Theory · Mathematics 2023-12-06 Mika Meitz

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) are unsupervised learning methods for training a generator distribution to produce samples that approximate those drawn from a target distribution. Many such methods can be formulated as minimization…

Machine Learning · Statistics 2025-05-13 Jeremiah Birrell

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,…

Machine Learning · Computer Science 2026-02-18 Hongkang Yang , Weinan E

While Generative Adversarial Networks (GANs) are fundamental to many generative modelling applications, they suffer from numerous issues. In this work, we propose a principled framework to simultaneously mitigate two fundamental issues in…

Machine Learning · Computer Science 2020-11-24 Kwot Sin Lee , Ngoc-Trung Tran , Ngai-Man Cheung

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

The generative adversarial network (GAN) is an important model developed for high-dimensional distribution learning in recent years. However, there is a pressing need for a comprehensive method to understand its error convergence rate. In…

Machine Learning · Statistics 2023-10-25 Mahmud Hasan , Hailin Sang

Generative Adversarial Networks (GANs) were intuitively and attractively explained under the perspective of game theory, wherein two involving parties are a discriminator and a generator. In this game, the task of the discriminator is to…

Machine Learning · Computer Science 2017-11-07 Trung Le , Tu Dinh Nguyen , Dinh Phung

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

A unifying $\alpha$-parametrized generator loss function is introduced for a dual-objective generative adversarial network (GAN), which uses a canonical (or classical) discriminator loss function such as the one in the original GAN…

Machine Learning · Computer Science 2024-03-19 Justin Veiner , Fady Alajaji , Bahman Gharesifard

Recent advances in Generative Adversarial Networks (GANs) have resulted in its widespread applications to multiple domains. A recent model, IRGAN, applies this framework to Information Retrieval (IR) and has gained significant attention…

Machine Learning · Computer Science 2020-10-05 Ameet Deshpande , Mitesh M. Khapra

Generative Adversarial Networks (GANs) are a class of generative algorithms that have been shown to produce state-of-the art samples, especially in the domain of image creation. The fundamental principle of GANs is to approximate the…

Machine Learning · Statistics 2018-03-22 G. Biau , B. Cadre , M. Sangnier , U. Tanielian

We show that training of generative adversarial network (GAN) may not have good generalization properties; e.g., training may appear successful but the trained distribution may be far from target distribution in standard metrics. However,…

Machine Learning · Computer Science 2017-08-03 Sanjeev Arora , Rong Ge , Yingyu Liang , Tengyu Ma , Yi Zhang

Generative adversarial networks (GANs) can be interpreted as an adversarial game between two players, a discriminator D and a generator G, in which D learns to classify real from fake data and G learns to generate realistic data by…

Machine Learning · Computer Science 2018-09-10 Alexia Jolicoeur-Martineau

We propose in this paper a novel approach to tackle the problem of mode collapse encountered in generative adversarial network (GAN). Our idea is intuitive but proven to be very effective, especially in addressing some key limitations of…

Machine Learning · Computer Science 2017-09-13 Tu Dinh Nguyen , Trung Le , Hung Vu , Dinh Phung

This paper describes InfoGAN, an information-theoretic extension to the Generative Adversarial Network that is able to learn disentangled representations in a completely unsupervised manner. InfoGAN is a generative adversarial network that…

Machine Learning · Computer Science 2016-06-14 Xi Chen , Yan Duan , Rein Houthooft , John Schulman , Ilya Sutskever , Pieter Abbeel

Recently, generative adversarial networks (GANs) have shown promising performance in generating realistic images. However, they often struggle in learning complex underlying modalities in a given dataset, resulting in poor-quality generated…

Computer Vision and Pattern Recognition · Computer Science 2018-05-09 David Keetae Park , Seungjoo Yoo , Hyojin Bahng , Jaegul Choo , Noseong Park

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

We consider training a deep neural network to generate samples from an unknown distribution given i.i.d. data. We frame learning as an optimization minimizing a two-sample test statistic---informally speaking, a good generator network…

Machine Learning · Statistics 2015-05-18 Gintare Karolina Dziugaite , Daniel M. Roy , Zoubin Ghahramani

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
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