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Generative Adversarial Nets (GANs) are very successful at modeling distributions from given samples, even in the high-dimensional case. However, their formulation is also known to be hard to optimize and often not stable. While this is…

计算机视觉与模式识别 · 计算机科学 2018-03-30 Ishan Deshpande , Ziyu Zhang , Alexander Schwing

Generative Adversarial Networks (GANs) have been successful in producing outstanding results in areas as diverse as image, video, and text generation. Building on these successes, a large number of empirical studies have validated the…

机器学习 · 计算机科学 2021-06-21 Gérard Biau , Maxime Sangnier , Ugo Tanielian

This paper presents a population synthesis model that utilizes the Wasserstein Generative-Adversarial Network (WGAN) for training on incomplete microsamples. By using a mask matrix to represent missing values, the study proposes a WGAN…

机器学习 · 计算机科学 2025-10-02 Tanay Rastogi , Daniel Jonsson , Anders Karlström

A new Wasserstein multi-element polynomial chaos expansion (WPCE) is proposed, which is inspired by recent advances in computational optimal transport for estimating Wasserstein distances. The developed method combines unsupervised learning…

数值分析 · 数学 2024-10-17 Robert Gruhlke , Martin Eigel

We propose a new algorithm that uses an auxiliary neural network to express the potential of the optimal transport map between two data distributions. In the sequel, we use the aforementioned map to train generative networks. Unlike WGANs,…

机器学习 · 计算机科学 2020-04-21 Vaios Laschos , Jan Tinapp , Klaus Obermayer

We present Optimal Transport GAN (OT-GAN), a variant of generative adversarial nets minimizing a new metric measuring the distance between the generator distribution and the data distribution. This metric, which we call mini-batch energy…

机器学习 · 计算机科学 2018-03-16 Tim Salimans , Han Zhang , Alec Radford , Dimitris Metaxas

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…

机器学习 · 计算机科学 2017-12-27 Ishaan Gulrajani , Faruk Ahmed , Martin Arjovsky , Vincent Dumoulin , Aaron Courville

Wasserstein GAN(WGAN) is a model that minimizes the Wasserstein distance between a data distribution and sample distribution. Recent studies have proposed stabilizing the training process for the WGAN and implementing the Lipschitz…

机器学习 · 计算机科学 2018-10-08 Cheolhyeong Kim , Seungtae Park , Hyung Ju Hwang

We propose a stable method to train Wasserstein generative adversarial networks. In order to enhance stability, we consider two objective functions using the $c$-transform based on Kantorovich duality which arises in the theory of optimal…

机器学习 · 计算机科学 2021-10-28 Dohyun Kwon , Yeoneung Kim , Guido Montúfar , Insoon Yang

Learning generative models is challenging for a network edge node with limited data and computing power. Since tasks in similar environments share model similarity, it is plausible to leverage pre-trained generative models from the cloud or…

机器学习 · 计算机科学 2021-01-25 Mehmet Dedeoglu , Sen Lin , Zhaofeng Zhang , Junshan Zhang

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…

机器学习 · 统计学 2024-09-30 Yixuan Qiu , Qingyi Gao , Xiao Wang

This paper presents a novel method for accelerating path-planning tasks in unknown scenes with obstacles by utilizing Wasserstein Generative Adversarial Networks (WGANs) with Gradient Penalty (GP) to approximate the distribution of…

机器人学 · 计算机科学 2025-01-14 Jorge Ocampo Jimenez , Wael Suleiman

Multiple marginal matching problem aims at learning mappings to match a source domain to multiple target domains and it has attracted great attention in many applications, such as multi-domain image translation. However, addressing this…

机器学习 · 计算机科学 2019-11-05 Jiezhang Cao , Langyuan Mo , Yifan Zhang , Kui Jia , Chunhua Shen , Mingkui Tan

To address the challenges in learning deep generative models (e.g.,the blurriness of variational auto-encoder and the instability of training generative adversarial networks, we propose a novel deep generative model, named…

机器学习 · 计算机科学 2019-02-26 Shunkang Zhang , Yuan Gao , Yuling Jiao , Jin Liu , Yang Wang , Can Yang

Standard Distributional Synthetic Controls (DSC) estimate counterfactual distributions by minimizing the Euclidean $L_2$ distance between quantile functions. We demonstrate that this geometric reliance renders estimators fragile: they lack…

计量经济学 · 经济学 2026-01-27 Xinran Liu

It is well known that the generative adversarial nets (GANs) are remarkably difficult to train. The recently proposed Wasserstein GAN (WGAN) creates principled research directions towards addressing these issues. But we found in practice…

计算机视觉与模式识别 · 计算机科学 2018-12-04 Lijun Zhang , Yujin Zhang , Yongbin Gao

Generative modelling is often cast as minimizing a similarity measure between a data distribution and a model distribution. Recently, a popular choice for the similarity measure has been the Wasserstein metric, which can be expressed in the…

机器学习 · 计算机科学 2019-10-10 Anton Mallasto , Guido Montúfar , Augusto Gerolin

In this study, a novel topology optimization approach based on conditional Wasserstein generative adversarial networks (CWGAN) is developed to replicate the conventional topology optimization algorithms in an extremely computationally…

机器学习 · 计算机科学 2019-01-16 Sharad Rawat , M. -H. Herman Shen

This paper explores the problem of generative modeling, aiming to simulate diverse examples from an unknown distribution based on observed examples. While recent studies have focused on quantifying the statistical precision of popular…

统计理论 · 数学 2024-06-07 Elen Vardanyan , Sona Hunanyan , Tigran Galstyan , Arshak Minasyan , Arnak Dalalyan

This paper raises an implicit manifold learning perspective in Generative Adversarial Networks (GANs), by studying how the support of the learned distribution, modelled as a submanifold $\mathcal{M}_{\theta}$, perfectly match with…

机器学习 · 统计学 2017-11-01 Kry Yik Chau Lui , Yanshuai Cao , Maxime Gazeau , Kelvin Shuangjian Zhang