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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 investigate the use of parametrized families of information-theoretic measures to generalize the loss functions of generative adversarial networks (GANs) with the objective of improving performance. A new generator loss function, called…

Machine Learning · Computer Science 2021-08-12 Himesh Bhatia , William Paul , Fady Alajaji , Bahman Gharesifard , Philippe Burlina

Dual discriminator generative adversarial networks (D2 GANs) were introduced to mitigate the problem of mode collapse in generative adversarial networks. In D2 GANs, two discriminators are employed alongside a generator: one discriminator…

Machine Learning · Computer Science 2025-07-24 Penukonda Naga Chandana , Tejas Srivastava , Gowtham R. Kurri , V. Lalitha

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

In this paper, we propose a novel loss function for training Generative Adversarial Networks (GANs) aiming towards deeper theoretical understanding as well as improved stability and performance for the underlying optimization problem. The…

Machine Learning · Computer Science 2021-08-25 Yannis Pantazis , Dipjyoti Paul , Michail Fasoulakis , Yannis Stylianou , Markos Katsoulakis

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

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

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

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

Unsupervised learning with generative adversarial networks (GANs) has proven hugely successful. Regular GANs hypothesize the discriminator as a classifier with the sigmoid cross entropy loss function. However, we found that this loss…

Computer Vision and Pattern Recognition · Computer Science 2017-04-06 Xudong Mao , Qing Li , Haoran Xie , Raymond Y. K. Lau , Zhen Wang , Stephen Paul Smolley

One of the training strategies of generative models is to minimize the Jensen--Shannon divergence between the model distribution and the data distribution. Since data distribution is unknown, generative adversarial networks (GANs) formulate…

Machine Learning · Computer Science 2023-02-22 Hiroki Naganuma , Hideaki Iiduka

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 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

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 models, particularly Generative Adversarial Networks (GANs), often suffer from a lack of output diversity, frequently generating similar samples rather than a wide range of variations. This paper introduces a novel generalization…

Machine Learning · Computer Science 2026-03-20 Muhammad Mubashar , Fabio Cuzzolin

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

Parametric adversarial divergences, which are a generalization of the losses used to train generative adversarial networks (GANs), have often been described as being approximations of their nonparametric counterparts, such as the…

Machine Learning · Computer Science 2021-10-22 Gabriel Huang , Hugo Berard , Ahmed Touati , Gauthier Gidel , Pascal Vincent , Simon Lacoste-Julien

In an effort to address the training instabilities of GANs, we introduce a class of dual-objective GANs with different value functions (objectives) for the generator (G) and discriminator (D). In particular, we model each objective using…

Machine Learning · Computer Science 2023-05-04 Monica Welfert , Kyle Otstot , Gowtham R. Kurri , Lalitha Sankar

Unsupervised learning with generative adversarial networks (GANs) has proven to be hugely successful. Regular GANs hypothesize the discriminator as a classifier with the sigmoid cross entropy loss function. However, we found that this loss…

Computer Vision and Pattern Recognition · Computer Science 2018-09-24 Xudong Mao , Qing Li , Haoran Xie , Raymond Y. K. Lau , Zhen Wang , Stephen Paul Smolley

Generative adversarial networks (GANs) are machine learning models that are used to estimate the underlying statistical structure of a given dataset and as a result can be used for a variety of tasks such as image generation or anomaly…

Computer Vision and Pattern Recognition · Computer Science 2024-06-10 Shakhnaz Akhmedova , Nils Körber
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