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The solution of probabilistic inverse problems for which the corresponding forward problem is constrained by physical principles is challenging. This is especially true if the dimension of the inferred vector is large and the prior…

Machine Learning · Statistics 2023-06-09 Deep Ray , Javier Murgoitio-Esandi , Agnimitra Dasgupta , Assad A. Oberai

We introduce a new method for training generative adversarial networks by applying the Wasserstein-2 metric proximal on the generators. The approach is based on Wasserstein information geometry. It defines a parametrization invariant…

Machine Learning · Computer Science 2021-02-16 Alex Tong Lin , Wuchen Li , Stanley Osher , Guido Montufar

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) have proven effective in modeling distributions of high-dimensional data. However, their training instability is a well-known hindrance to convergence, which results in practical challenges in their…

Machine Learning · Computer Science 2022-09-28 Alessandro Ferrero , Shireen Elhabian , Ross Whitaker

With the continuous development of industrial IoT (IIoT) technology, network security is becoming more and more important. And intrusion detection is an important part of its security. However, since the amount of attack traffic is very…

Cryptography and Security · Computer Science 2021-10-08 Lei Zhang , Shuaimin Jiang , Xiajiong Shen , Brij B. Gupta , Zhihong Tian

Image inpainting is a restoration method that reconstructs missing image parts. However, a carefully selected mask of known pixels that yield a high quality inpainting can also act as a sparse image representation. This challenging spatial…

Image and Video Processing · Electrical Eng. & Systems 2022-12-05 Pascal Peter

This paper proposes a new theoretical lens to view Wasserstein generative adversarial networks (WGANs). To minimize the Wasserstein-1 distance between the true data distribution and our estimate of it, we derive a distribution-dependent…

Machine Learning · Statistics 2025-02-05 Zachariah Malik , Yu-Jui Huang

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…

Robotics · Computer Science 2025-01-14 Jorge Ocampo Jimenez , Wael Suleiman

Generative adversarial networks (GANs) are a class of machine-learning models that use adversarial training to generate new samples with the same (potentially very complex) statistics as the training samples. One major form of training…

Disordered Systems and Neural Networks · Physics 2022-12-12 Steven Durr , Youssef Mroueh , Yuhai Tu , Shenshen Wang

Recent techniques built on Generative Adversarial Networks (GANs), such as Cycle-Consistent GANs, are able to learn mappings among different domains built from unpaired datasets, through min-max optimization games between generators and…

Machine Learning · Computer Science 2020-08-18 Haoran You , Yu Cheng , Tianheng Cheng , Chunliang Li , Pan Zhou

Generative Adversial Networks (GANs) have made a major impact in computer vision and machine learning as generative models. Wasserstein GANs (WGANs) brought Optimal Transport (OT) theory into GANs, by minimizing the $1$-Wasserstein distance…

Machine Learning · Computer Science 2019-02-12 Anton Mallasto , Jes Frellsen , Wouter Boomsma , Aasa Feragen

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…

Machine Learning · Computer Science 2023-07-03 Yihang Gao , Michael K. Ng , Mingjie Zhou

Current Generative Adversarial Network (GAN)-based approaches for time series generation face challenges such as suboptimal convergence, information loss in embedding spaces, and instability. To overcome these challenges, we introduce an…

Machine Learning · Computer Science 2024-10-29 MohammadReza EskandariNasab , Shah Muhammad Hamdi , Soukaina Filali Boubrahimi

Recent proposals for quantum generative adversarial networks (GANs) suffer from the issue of mode collapse, analogous to classical GANs, wherein the distribution learnt by the GAN fails to capture the high mode complexities of the target…

Quantum Physics · Physics 2025-05-23 Aaron Mark Thomas , Harry Youel , Sharu Theresa Jose

We present Wasserstein introspective neural networks (WINN) that are both a generator and a discriminator within a single model. WINN provides a significant improvement over the recent introspective neural networks (INN) method by enhancing…

Computer Vision and Pattern Recognition · Computer Science 2018-04-10 Kwonjoon Lee , Weijian Xu , Fan Fan , Zhuowen Tu

Generative Adversarial Networks (GANs) have become a powerful approach for generative image modeling. However, GANs are notorious for their training instability, especially on large-scale, complex datasets. While the recent work of BigGAN…

Computer Vision and Pattern Recognition · Computer Science 2020-09-30 Ting-Yun Chang , Chi-Jen Lu

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…

Machine Learning · Computer Science 2019-06-25 Jacob Leygonie , Jennifer She , Amjad Almahairi , Sai Rajeswar , Aaron Courville

Generative adversarial networks (GANs) learn a deep generative model that is able to synthesise novel, high-dimensional data samples. New data samples are synthesised by passing latent samples, drawn from a chosen prior distribution,…

Computer Vision and Pattern Recognition · Computer Science 2018-02-16 Antonia Creswell , Anil A Bharath

In this work, we train conditional Wasserstein generative adversarial networks to effectively sample from the posterior of physics-based Bayesian inference problems. The generator is constructed using a U-Net architecture, with the latent…

Machine Learning · Statistics 2022-11-21 Deep Ray , Harisankar Ramaswamy , Dhruv V. Patel , Assad A. Oberai

In this paper, we study a physics-informed algorithm for Wasserstein Generative Adversarial Networks (WGANs) for uncertainty quantification in solutions of partial differential equations. By using groupsort activation functions in…

Numerical Analysis · Mathematics 2022-08-10 Yihang Gao , Michael K. Ng