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Generative Adversarial Networks (GANs) have shown great promise in modeling high dimensional data. The learning objective of GANs usually minimizes some measure discrepancy, \textit{e.g.}, $f$-divergence~($f$-GANs) or Integral Probability…

Machine Learning · Computer Science 2020-04-07 Yuxuan Song , Qiwei Ye , Minkai Xu , Tie-Yan Liu

Several dihedral angles prediction methods were developed for protein structure prediction and their other applications. However, distribution of predicted angles would not be similar to that of real angles. To address this we employed…

Biomolecules · Quantitative Biology 2018-03-30 Hyeongki Kim

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

Generating realistic graph-structured data is challenging due to discrete structures, variable sizes, and class-specific connectivity patterns that resist conventional generative modelling. While recent graph generation methods employ…

Machine Learning · Computer Science 2026-02-02 Seyedeh Ava Razi Razavi , James Sargant , Sheridan Houghten , Renata Dividino

Reliable training of generative adversarial networks (GANs) typically require massive datasets in order to model complicated distributions. However, in several applications, training samples obey invariances that are \textit{a priori}…

Generative Adversarial Networks (GANs) have been impactful on many problems and applications but suffer from unstable training. The Wasserstein GAN (WGAN) leverages the Wasserstein distance to avoid the caveats in the minmax two-player…

Machine Learning · Statistics 2021-09-14 Yao Chen , Qingyi Gao , Xiao Wang

Stochastic differential equations (SDEs) are a staple of mathematical modelling of temporal dynamics. However, a fundamental limitation has been that such models have typically been relatively inflexible, which recent work introducing…

Machine Learning · Computer Science 2021-05-12 Patrick Kidger , James Foster , Xuechen Li , Harald Oberhauser , Terry Lyons

Generative Adversarial Networks (GANs) are powerful generative models, but suffer from training instability. The recently proposed Wasserstein GAN (WGAN) makes progress toward stable training of GANs, but sometimes can still generate only…

Machine Learning · Computer Science 2017-12-27 Ishaan Gulrajani , Faruk Ahmed , Martin Arjovsky , Vincent Dumoulin , Aaron Courville

Overparameterized stochastic differential equation (SDE) models have achieved remarkable success in various complex environments, such as PDE-constrained optimization, stochastic control and reinforcement learning, financial engineering,…

Optimization and Control · Mathematics 2024-09-27 Shengbo Wang , Jose Blanchet , Peter Glynn

Generative Adversarial Networks (GANs) are an unsupervised generative model that learns data distribution through adversarial training. However, recent experiments indicated that GANs are difficult to train due to the requirement of…

Computer Vision and Pattern Recognition · Computer Science 2022-10-11 Wenliang Qian , Yang Xu , Wangmeng Zuo , Hui Li

Random noise arising from physical processes is an inherent characteristic of measurements and a limiting factor for most signal processing and data analysis tasks. Given the recent interest in generative adversarial networks (GANs) for…

Signal Processing · Electrical Eng. & Systems 2023-08-22 Adam Wunderlich , Jack Sklar

We introduce a new class of spatially stochastic physics and data informed deep latent models for parametric partial differential equations (PDEs) which operate through scalable variational neural processes. We achieve this by assigning…

Machine Learning · Computer Science 2023-06-08 Arnaud Vadeboncoeur , Ieva Kazlauskaite , Yanni Papandreou , Fehmi Cirak , Mark Girolami , Ömer Deniz Akyildiz

Generative adversarial networks (GANs) have been recently adopted for super-resolution, an application closely related to what is referred to as "downscaling" in the atmospheric sciences: improving the spatial resolution of low-resolution…

Image and Video Processing · Electrical Eng. & Systems 2021-11-12 Jussi Leinonen , Daniele Nerini , Alexis Berne

Generative adversarial networks (GANs) are a machine learning framework comprising a generative model for sampling from a target distribution and a discriminative model for evaluating the proximity of a sample to the target distribution.…

Quantum Physics · Physics 2021-07-22 Daniel Herr , Benjamin Obert , Matthias Rosenkranz

Generative adversarial networks (GANs) are a class of generative models with two antagonistic neural networks: a generator and a discriminator. These two neural networks compete against each other through an adversarial process that can be…

Machine Learning · Computer Science 2021-05-24 Barbara Franci , Sergio Grammatico

Despite continuous improvements, precipitation forecasts are still not as accurate and reliable as those of other meteorological variables. A major contributing factor to this is that several key processes affecting precipitation…

Atmospheric and Oceanic Physics · Physics 2022-11-09 Lucy Harris , Andrew T. T. McRae , Matthew Chantry , Peter D. Dueben , Tim N. Palmer

This paper presents the development of a generative adversarial network (GAN) for synthesizing dental panoramic radiographs. Although exploratory in nature, the study aims to address the scarcity of data in dental research and education. We…

Computer Vision and Pattern Recognition · Computer Science 2025-07-30 Soren Pedersen , Sanyam Jain , Mikkel Chavez , Viktor Ladehoff , Bruna Neves de Freitas , Ruben Pauwels

We propose Federated Generative Adversarial Network (FedGAN) for training a GAN across distributed sources of non-independent-and-identically-distributed data sources subject to communication and privacy constraints. Our algorithm uses…

Machine Learning · Computer Science 2020-06-16 Mohammad Rasouli , Tao Sun , Ram Rajagopal

The Bayesian inference approach is widely used to tackle inverse problems due to its versatile and natural ability to handle ill-posedness. However, it often faces challenges when dealing with situations involving continuous fields or…

Numerical Analysis · Mathematics 2023-08-28 Xinchao Jiang , Xin Wang , Ziming Wen , Hu Wang

In semiconductor manufacturing, the wafer dicing process is central yet vulnerable to defects that significantly impair yield - the proportion of defect-free chips. Deep neural networks are the current state of the art in (semi-)automated…

Computer Vision and Pattern Recognition · Computer Science 2024-07-31 Zhining Hu , Tobias Schlosser , Michael Friedrich , André Luiz Vieira e Silva , Frederik Beuth , Danny Kowerko