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Generative Adversarial Networks (GANs) have been shown to be powerful and flexible priors when solving inverse problems. One challenge of using them is overcoming representation error, the fundamental limitation of the network in…

机器学习 · 计算机科学 2022-04-12 Sean Gunn , Jorio Cocola , Paul Hand

Generative adversarial networks (GANs) are capable of producing high quality image samples. However, unlike variational autoencoders (VAEs), GANs lack encoders that provide the inverse mapping for the generators, i.e., encode images back to…

机器学习 · 统计学 2018-12-20 Paul K. Rubenstein , Yunpeng Li , Dominik Roblek

Object density reconstruction from projections containing scattered radiation and noise is of critical importance in many applications. Existing scatter correction and density reconstruction methods may not provide the high accuracy needed…

图像与视频处理 · 电气工程与系统科学 2022-04-28 Zhishen Huang , Marc Klasky , Trevor Wilcox , Saiprasad Ravishankar

Generative Adversarial Networks (GAN) have demonstrated impressive results in modeling the distribution of natural images, learning latent representations that capture semantic variations in an unsupervised basis. Beyond the generation of…

计算机视觉与模式识别 · 计算机科学 2019-11-14 Marcos Pividori , Guillermo L. Grinblat , Lucas C. Uzal

The Bayesian approach to solving inverse problems relies on the choice of a prior. This critical ingredient allows the formulation of expert knowledge or physical constraints in a probabilistic fashion and plays an important role for the…

机器学习 · 统计学 2022-11-08 Manuel Marschall , Gerd Wübbeler , Franko Schmähling , Clemens Elster

Computing optimal transport maps between high-dimensional and continuous distributions is a challenging problem in optimal transport (OT). Generative adversarial networks (GANs) are powerful generative models which have been successfully…

机器学习 · 计算机科学 2019-06-25 Jacob Leygonie , Jennifer She , Amjad Almahairi , Sai Rajeswar , Aaron Courville

We introduce Primal-Dual Wasserstein GAN, a new learning algorithm for building latent variable models of the data distribution based on the primal and the dual formulations of the optimal transport (OT) problem. We utilize the primal…

机器学习 · 统计学 2018-05-25 Mevlana Gemici , Zeynep Akata , Max Welling

Studied here are Wasserstein generative adversarial networks (WGANs) with GroupSort neural networks as their discriminators. It is shown that the error bound of the approximation for the target distribution depends on the width and depth…

机器学习 · 计算机科学 2023-07-03 Yihang Gao , Michael K. Ng , Mingjie Zhou

The combinatorial search space presents a significant challenge to learning causality from data. Recently, the problem has been formulated into a continuous optimization framework with an acyclicity constraint, allowing for the exploration…

机器学习 · 计算机科学 2022-04-04 Hristo Petkov , Colin Hanley , Feng Dong

This paper describes a new approach for training generative adversarial networks (GAN) to understand the detailed 3D shape of objects. While GANs have been used in this domain previously, they are notoriously hard to train, especially for…

计算机视觉与模式识别 · 计算机科学 2017-11-01 Edward Smith , David Meger

Since their invention, generative adversarial networks (GANs) have become a popular approach for learning to model a distribution of real (unlabeled) data. Convergence problems during training are overcome by Wasserstein GANs which minimize…

机器学习 · 统计学 2018-03-06 Henning Petzka , Asja Fischer , Denis Lukovnicov

Inferring the latent variable generating a given test sample is a challenging problem in Generative Adversarial Networks (GANs). In this paper, we propose InvGAN - a novel framework for solving the inference problem in GANs, which involves…

机器学习 · 计算机科学 2019-12-02 Wei-An Lin , Yogesh Balaji , Pouya Samangouei , Rama Chellappa

I present IGAN (Inferent Generative Adversarial Networks), a neural architecture that learns both a generative and an inference model on a complex high dimensional data distribution, i.e. a bidirectional mapping between data samples and a…

机器学习 · 计算机科学 2024-09-04 Luc Vignaud

Inverse problems, i.e., estimating parameters of physical models from experimental data, are ubiquitous in science and engineering. The Bayesian formulation is the gold standard because it alleviates ill-posedness issues and quantifies…

机器学习 · 统计学 2024-05-28 Sharmila Karumuri , Ilias Bilionis

In recent years, neural network approaches have been widely adopted for machine learning tasks, with applications in computer vision. More recently, unsupervised generative models based on neural networks have been successfully applied to…

机器学习 · 计算机科学 2018-02-06 Maya Kabkab , Pouya Samangouei , Rama Chellappa

Conventional methods for causal structure learning from data face significant challenges due to combinatorial search space. Recently, the problem has been formulated into a continuous optimization framework with an acyclicity constraint to…

机器学习 · 计算机科学 2022-06-06 Hristo Petkov , Colin Hanley , Feng Dong

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…

机器学习 · 统计学 2017-11-09 Yunus Saatchi , Andrew Gordon Wilson

An important problem in geostatistics is to build models of the subsurface of the Earth given physical measurements at sparse spatial locations. Typically, this is done using spatial interpolation methods or by reproducing patterns from a…

机器学习 · 统计学 2018-07-06 Emilien Dupont , Tuanfeng Zhang , Peter Tilke , Lin Liang , William Bailey

This paper studies generative adversarial networks (GANs) from the perspective of statistical inference. A GAN is a popular machine learning method in which the parameters of two neural networks, a generator and a discriminator, are…

统计理论 · 数学 2023-12-06 Mika Meitz

In recent years, Generative Adversarial Networks (GANs) have shown substantial progress in modeling complex distributions of data. These networks have received tremendous attention since they can generate implicit probabilistic models that…

信号处理 · 电气工程与系统科学 2018-10-25 Mehdi Ahmadi , Timothy Nest , Mostafa Abdelnaim , Thanh-Dung Le