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Conditional distribution is a fundamental quantity for describing the relationship between a response and a predictor. We propose a Wasserstein generative approach to learning a conditional distribution. The proposed approach uses a…

Machine Learning · Computer Science 2021-12-21 Shiao Liu , Xingyu Zhou , Yuling Jiao , Jian Huang

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

Class imbalance occurs in many real-world applications, including image classification, where the number of images in each class differs significantly. With imbalanced data, the generative adversarial networks (GANs) leans to majority class…

Computer Vision and Pattern Recognition · Computer Science 2022-01-14 Yuchong Yao , Xiaohui Wangr , Yuanbang Ma , Han Fang , Jiaying Wei , Liyuan Chen , Ali Anaissi , Ali Braytee

The traditional approach of hand-crafting priors (such as sparsity) for solving inverse problems is slowly being replaced by the use of richer learned priors (such as those modeled by generative adversarial networks, or GANs). In this work,…

Machine Learning · Computer Science 2018-10-09 Chinmay Hegde

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

Conditional Generative Adversarial Networks (cGANs) extend the standard unconditional GAN framework to learning joint data-label distributions from samples, and have been established as powerful generative models capable of generating…

Computer Vision and Pattern Recognition · Computer Science 2021-11-30 Ligong Han , Martin Renqiang Min , Anastasis Stathopoulos , Yu Tian , Ruijiang Gao , Asim Kadav , Dimitris Metaxas

Since most inverse problems arising in scientific and engineering applications are ill-posed, prior information about the solution space is incorporated, typically through regularization, to establish a well-posed problem with a unique…

Signal Processing · Electrical Eng. & Systems 2024-06-18 Carter Lyons , Raghu G. Raj , Margaret Cheney

Time series forecasting is one of the challenging problems for humankind. Traditional forecasting methods using mean regression models have severe shortcomings in reflecting real-world fluctuations. While new probabilistic methods rush to…

Machine Learning · Computer Science 2019-06-26 Alireza Koochali , Peter Schichtel , Sheraz Ahmed , Andreas Dengel

Solving inverse problems continues to be a challenge in a wide array of applications ranging from deblurring, image inpainting, source separation etc. Most existing techniques solve such inverse problems by either explicitly or implicitly…

Computer Vision and Pattern Recognition · Computer Science 2018-06-05 Rushil Anirudh , Jayaraman J. Thiagarajan , Bhavya Kailkhura , Timo Bremer

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…

Signal Processing · Electrical Eng. & Systems 2018-10-25 Mehdi Ahmadi , Timothy Nest , Mostafa Abdelnaim , Thanh-Dung Le

Conditional Generative Adversarial Networks~(CGAN) are a recent and popular method for generating samples from a probability distribution conditioned on latent information. The latent information often comes in the form of a discrete label…

Machine Learning · Statistics 2020-03-19 Edoardo Lisi , Mohammad Malekzadeh , Hamed Haddadi , F. Din-Houn Lau , Seth Flaxman

Solving inverse problems in scientific and engineering fields has long been intriguing and holds great potential for many applications, yet most techniques still struggle to address issues such as high dimensionality, nonlinearity and model…

Machine Learning · Computer Science 2024-05-24 Qiuyi Chen , Panagiotis Tsilifis , Mark Fuge

Adversarial examples are a hot topic due to their abilities to fool a classifier's prediction. There are two strategies to create such examples, one uses the attacked classifier's gradients, while the other only requires access to the…

Machine Learning · Computer Science 2020-01-29 Jean-Christophe Burnel , Kilian Fatras , Nicolas Courty

Deep learning has emerged as a key tool for designing nanophotonic structures that manipulate light at sub-wavelength scales. We investigate how to inversely design plasmonic nanostructures using conditional generative adversarial networks.…

Optics · Physics 2026-05-21 Petter Persson , Nils Henriksson , Nicolò Maccaferri

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

We introduce the Probabilistic Generative Adversarial Network (PGAN), a new GAN variant based on a new kind of objective function. The central idea is to integrate a probabilistic model (a Gaussian Mixture Model, in our case) into the GAN…

Machine Learning · Computer Science 2017-08-08 Hamid Eghbal-zadeh , Gerhard Widmer

Semi-supervision in Machine Learning can be used in searches for new physics where the signal plus background regions are not labelled. This strongly reduces model dependency in the search for signals Beyond the Standard Model. This…

High Energy Physics - Phenomenology · Physics 2022-02-04 Thabang Lebese , Xifeng Ruan

A fundamental problem in geostatistical modeling is to infer the heterogeneous geological field based on limited measurements and some prior spatial statistics. Semantic inpainting, a technique for image processing using deep generative…

Image and Video Processing · Electrical Eng. & Systems 2019-12-24 Qiang Zheng , Lingzao Zeng , Zhendan Cao , George Em Karniadakis

We present an algorithm to directly solve numerous image restoration problems (e.g., image deblurring, image dehazing, image deraining, etc.). These problems are highly ill-posed, and the common assumptions for existing methods are usually…

Computer Vision and Pattern Recognition · Computer Science 2020-03-31 Jinshan Pan , Jiangxin Dong , Yang Liu , Jiawei Zhang , Jimmy Ren , Jinhui Tang , Yu-Wing Tai , Ming-Hsuan Yang

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