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We propose a unified game-theoretical framework to perform classification and conditional image generation given limited supervision. It is formulated as a three-player minimax game consisting of a generator, a classifier and a…

Machine Learning · Computer Science 2020-09-15 Chongxuan Li , Kun Xu , Jiashuo Liu , Jun Zhu , Bo Zhang

Generative adversarial networks (GANs) are designed with the help of min-max optimization problems that are solved with stochastic gradient-type algorithms which are known to be non-robust. In this work we revisit a non-adversarial method…

Machine Learning · Computer Science 2018-11-26 Kalliopi Basioti , George V. Moustakides , Emmanouil Z. Psarakis

We study the global convergence of generative adversarial imitation learning for linear quadratic regulators, which is posed as minimax optimization. To address the challenges arising from non-convex-concave geometry, we analyze the…

Machine Learning · Computer Science 2019-01-15 Qi Cai , Mingyi Hong , Yongxin Chen , Zhaoran Wang

Motivated by the pursuit of a systematic computational and algorithmic understanding of Generative Adversarial Networks (GANs), we present a simple yet unified non-asymptotic local convergence theory for smooth two-player games, which…

Machine Learning · Statistics 2020-07-27 Tengyuan Liang , James Stokes

Despite the successes in capturing continuous distributions, the application of generative adversarial networks (GANs) to discrete settings, like natural language tasks, is rather restricted. The fundamental reason is the difficulty of…

Artificial Intelligence · Computer Science 2017-02-28 Tong Che , Yanran Li , Ruixiang Zhang , R Devon Hjelm , Wenjie Li , Yangqiu Song , Yoshua Bengio

Generative adversarial networks (GANs) are a learning framework that rely on training a discriminator to estimate a measure of difference between a target and generated distributions. GANs, as normally formulated, rely on the generated…

Machine Learning · Statistics 2018-02-23 R Devon Hjelm , Athul Paul Jacob , Tong Che , Adam Trischler , Kyunghyun Cho , Yoshua Bengio

We study the problem of alleviating the instability issue in the GAN training procedure via new architecture design. The discrepancy between the minimax and maximin objective values could serve as a proxy for the difficulties that the…

Machine Learning · Computer Science 2018-11-21 Hongyang Zhang , Susu Xu , Jiantao Jiao , Pengtao Xie , Ruslan Salakhutdinov , Eric P. Xing

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…

Machine Learning · Computer Science 2020-04-29 Shufei Zhang , Zhuang Qian , Kaizhu Huang , Jimin Xiao , Yuan He

Generative adversarial networks are generative models that are capable of replicating the implicit probability distribution of the input data with high accuracy. Traditionally, GANs consist of a Generator and a Discriminator which interact…

Machine Learning · Computer Science 2022-11-15 Xin Wang

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

Allowing effective inference of latent vectors while training GANs can greatly increase their applicability in various downstream tasks. Recent approaches, such as ALI and BiGAN frameworks, develop methods of inference of latent variables…

Machine Learning · Computer Science 2020-12-22 Yatin Dandi , Homanga Bharadhwaj , Abhishek Kumar , Piyush Rai

Despite the growing prominence of generative adversarial networks (GANs), optimization in GANs is still a poorly understood topic. In this paper, we analyze the "gradient descent" form of GAN optimization i.e., the natural setting where we…

Machine Learning · Computer Science 2018-01-16 Vaishnavh Nagarajan , J. Zico Kolter

A generative adversarial network (GAN) has been a representative backbone model in generative artificial intelligence (AI) because of its powerful performance in capturing intricate data-generating processes. However, the GAN training is…

Machine Learning · Statistics 2025-08-21 Jinwon Sohn , Qifan Song

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

The goal of graph representation learning is to embed each vertex in a graph into a low-dimensional vector space. Existing graph representation learning methods can be classified into two categories: generative models that learn the…

Machine Learning · Computer Science 2017-11-23 Hongwei Wang , Jia Wang , Jialin Wang , Miao Zhao , Weinan Zhang , Fuzheng Zhang , Xing Xie , Minyi Guo

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 propose to improve unconditional Generative Adversarial Networks (GAN) by training the self-supervised learning with the adversarial process. In particular, we apply self-supervised learning via the geometric transformation on input…

Computer Vision and Pattern Recognition · Computer Science 2019-05-15 Ngoc-Trung Tran , Viet-Hung Tran , Ngoc-Bao Nguyen , Ngai-Man Cheung

We introduce the Probabilistic Generative Adversarial Network (PGAN), a new GAN variant based on a new kind of objective function. The central idea is to integrate a probabilistic model (a Gaussian Mixture Model, in our case) into the GAN…

Machine Learning · Computer Science 2017-08-08 Hamid Eghbal-zadeh , Gerhard Widmer

We propose studying GAN training dynamics as regret minimization, which is in contrast to the popular view that there is consistent minimization of a divergence between real and generated distributions. We analyze the convergence of GAN…

Artificial Intelligence · Computer Science 2017-12-12 Naveen Kodali , Jacob Abernethy , James Hays , Zsolt Kira

The wide applications of Generative adversarial networks benefit from the successful training methods, guaranteeing that an object function converges to the local minima. Nevertheless, designing an efficient and competitive training method…

Machine Learning · Computer Science 2021-11-11 Huiqing Qi , Fang Li , Shengli Tan , Xiangyun Zhang