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Generative adversarial networks (GANs) have been extremely successful in generating samples, from seemingly high dimensional probability measures. However, these methods struggle to capture the temporal dependence of joint probability…

Machine Learning · Computer Science 2025-08-26 Shujian Liao , Hao Ni , Lukasz Szpruch , Magnus Wiese , Marc Sabate-Vidales , Baoren Xiao

Generative Adversarial Networks (GANs) can produce high-quality samples, but do not provide an estimate of the probability density around the samples. However, it has been noted that maximizing the log-likelihood within an energy-based…

Machine Learning · Computer Science 2023-10-03 Omri Ben-Dov , Pravir Singh Gupta , Victoria Abrevaya , Michael J. Black , Partha Ghosh

While standard generative adversarial networks (GANs) rely solely on training data to learn unknown probability distributions, physics-informed GANs (PI-GANs) encode physical laws in the form of stochastic partial differential equations…

Image and Video Processing · Electrical Eng. & Systems 2020-06-11 James E. Warner , Julian Cuevas , Geoffrey F. Bomarito , Patrick E. Leser , William P. Leser

Generative Adversarial Networks (GANs) have been used to model the underlying probability distribution of sample based datasets. GANs are notoriuos for training difficulties and their dependence on arbitrary hyperparameters. One recent…

Machine Learning · Computer Science 2019-10-03 Thomas Pinetz , Daniel Soukup , Thomas Pock

Data-driven methods for the solution of inverse problems have become widely popular in recent years thanks to the rise of machine learning techniques. A popular approach concerns the training of a generative model on additional data to…

Machine Learning · Statistics 2026-03-12 Bamdad Hosseini , Ziqi Huang

Generative models based on latent variables, such as generative adversarial networks (GANs) and variational auto-encoders (VAEs), have gained lots of interests due to their impressive performance in many fields. However, many data such as…

Machine Learning · Statistics 2024-09-30 Yixuan Qiu , Qingyi Gao , Xiao Wang

We present an application of deep generative models in the context of partial-differential equation (PDE) constrained inverse problems. We combine a generative adversarial network (GAN) representing an a priori model that creates subsurface…

Geophysics · Physics 2018-06-12 Lukas Mosser , Olivier Dubrule , Martin J. Blunt

Inverse problems consist in reconstructing signals from incomplete sets of measurements and their performance is highly dependent on the quality of the prior knowledge encoded via regularization. While traditional approaches focus on…

Image and Video Processing · Electrical Eng. & Systems 2022-07-04 Antonio Montanaro , Diego Valsesia , Enrico Magli

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

Distributional causal inference requires estimating not only average treatment effects but also interventional outcome distributions, including quantiles, tail risks, and policy-dependent uncertainty. As a method for distributional causal…

Statistics Theory · Mathematics 2026-05-12 Shu Tamano , Masaaki Imaizumi

Generative Adversarial Networks (GANs) produce systematically better quality samples when class label information is provided., i.e. in the conditional GAN setup. This is still observed for the recently proposed Wasserstein GAN formulation…

Machine Learning · Statistics 2018-05-18 Guillermo L. Grinblat , Lucas C. Uzal , Pablo M. Granitto

Generative adversarial networks (GANs) provide an algorithmic framework for constructing generative models with several appealing properties: they do not require a likelihood function to be specified, only a generating procedure; they…

Machine Learning · Statistics 2017-02-28 Shakir Mohamed , Balaji Lakshminarayanan

The GANs are generative models whose random samples realistically reflect natural images. It also can generate samples with specific attributes by concatenating a condition vector into the input, yet research on this field is not well…

Machine Learning · Computer Science 2016-11-07 Hanock Kwak , Byoung-Tak Zhang

Generative adversarial networks (GANs) have been shown to produce realistic samples from high-dimensional distributions, but training them is considered hard. A possible explanation for training instabilities is the inherent imbalance…

Machine Learning · Statistics 2018-07-12 Mehdi S. M. Sajjadi , Giambattista Parascandolo , Arash Mehrjou , Bernhard Schölkopf

Generative models and in particular Generative Adversarial Networks (GANs) have become very popular and powerful data generation tool. In recent years, major progress has been made in extending this concept into the quantum realm. However,…

Quantum Physics · Physics 2023-09-19 Wiktor Jurasz , Christian B. Mendl

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

Bayesian inference is used extensively to infer and to quantify the uncertainty in a field of interest from a measurement of a related field when the two are linked by a physical model. Despite its many applications, Bayesian inference…

Machine Learning · Statistics 2019-07-24 Dhruv Patel , Assad A Oberai

We propose a new class of physics-informed neural networks, called Physics-Informed Generator-Encoder Adversarial Networks, to effectively address the challenges posed by forward, inverse, and mixed problems in stochastic differential…

Machine Learning · Computer Science 2023-11-06 Ruisong Gao , Min Yang , Jin Zhang

The Generator of a Generative Adversarial Network (GAN) is trained to transform latent vectors drawn from a prior distribution into realistic looking photos. These latent vectors have been shown to encode information about the content of…

Machine Learning · Computer Science 2018-10-10 Nicholas Egan , Jeffrey Zhang , Kevin Shen

Recent advances in generative adversarial networks (GANs) have opened up the possibility of generating high-resolution photo-realistic images that were impossible to produce previously. The ability of GANs to sample from high-dimensional…

Computer Vision and Pattern Recognition · Computer Science 2021-10-11 Arthur Conmy , Subhadip Mukherjee , Carola-Bibiane Schönlieb