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Generative Adversarial Networks (GANs) have been promising in the field of image generation, however, they have been hard to train for language generation. GANs were originally designed to output differentiable values, so discrete language…

Machine Learning · Computer Science 2018-07-04 Mehrad Moradshahi , Utkarsh Contractor

We propose Hellinger-type loss functions for training Generative Adversarial Networks (GANs), motivated by the boundedness, symmetry, and robustness properties of the Hellinger distance. We define an adversarial objective based on this…

Machine Learning · Statistics 2025-12-16 Giovanni Saraceno , Anand N. Vidyashankar , Claudio Agostinelli

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

We propose a training and evaluation approach for autoencoder Generative Adversarial Networks (GANs), specifically the Boundary Equilibrium Generative Adversarial Network (BEGAN), based on methods from the image quality assessment…

Computer Vision and Pattern Recognition · Computer Science 2017-08-09 Michael O. Vertolli , Jim Davies

Maximum mean discrepancy (MMD) flows suffer from high computational costs in large scale computations. In this paper, we show that MMD flows with Riesz kernels $K(x,y) = - \|x-y\|^r$, $r \in (0,2)$ have exceptional properties which allow…

Machine Learning · Computer Science 2024-02-21 Johannes Hertrich , Christian Wald , Fabian Altekrüger , Paul Hagemann

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 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…

Machine Learning · Statistics 2017-11-09 Yunus Saatchi , Andrew Gordon Wilson

A classic inferential statistical problem is the goodness-of-fit (GOF) test. Such a test can be challenging when the hypothesized parametric model has an intractable likelihood and its distributional form is not available. Bayesian methods…

Machine Learning · Statistics 2023-11-13 Forough Fazeli-Asl , Michael Minyi Zhang , Lizhen Lin

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

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 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

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 adversarial networks (GANs) are successful deep generative models. GANs are based on a two-player minimax game. However, the objective function derived in the original motivation is changed to obtain stronger gradients when…

Machine Learning · Statistics 2016-11-10 Masatoshi Uehara , Issei Sato , Masahiro Suzuki , Kotaro Nakayama , Yutaka Matsuo

Generative Adversarial Networks (GANs) are a revolutionary class of Deep Neural Networks (DNNs) that have been successfully used to generate realistic images, music, text, and other data. However, GAN training presents many challenges,…

Machine Learning · Computer Science 2022-03-30 Vineel Nagisetty , Laura Graves , Joseph Scott , Vijay Ganesh

This paper explains the math behind a generative adversarial network (GAN) model and why it is hard to be trained. Wasserstein GAN is intended to improve GANs' training by adopting a smooth metric for measuring the distance between two…

Machine Learning · Computer Science 2019-04-22 Lilian Weng

Generative Adversarial Networks (GANs) have been used in several machine learning tasks such as domain transfer, super resolution, and synthetic data generation. State-of-the-art GANs often use tens of millions of parameters, making them…

Machine Learning · Computer Science 2019-02-04 Angeline Aguinaldo , Ping-Yeh Chiang , Alex Gain , Ameya Patil , Kolten Pearson , Soheil Feizi

Despite success on a wide range of problems related to vision, generative adversarial networks (GANs) often suffer from inferior performance due to unstable training, especially for text generation. To solve this issue, we propose a new…

Machine Learning · Computer Science 2020-11-02 Yue Wu , Pan Zhou , Andrew Gordon Wilson , Eric P. Xing , Zhiting Hu

Besides the well-known classification task, these days neural networks are frequently being applied to generate or transform data, such as images and audio signals. In such tasks, the conventional loss functions like the mean squared error…

We present a variety of new architectural features and training procedures that we apply to the generative adversarial networks (GANs) framework. We focus on two applications of GANs: semi-supervised learning, and the generation of images…

Machine Learning · Computer Science 2016-06-14 Tim Salimans , Ian Goodfellow , Wojciech Zaremba , Vicki Cheung , Alec Radford , Xi Chen

We present an empirical investigation of a recent class of Generative Adversarial Networks (GANs) using Integral Probability Metrics (IPM) and their performance for semi-supervised learning. IPM-based GANs like Wasserstein GAN, Fisher GAN…

Machine Learning · Computer Science 2017-12-08 Tom Sercu , Youssef Mroueh
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