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We use adversarial network architectures together with the Wasserstein distance to generate or refine simulated detector data. The data reflect two-dimensional projections of spatially distributed signal patterns with a broad spectrum of…

Instrumentation and Methods for Astrophysics · Physics 2018-02-12 Martin Erdmann , Lukas Geiger , Jonas Glombitza , David Schmidt

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

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

Generative adversarial networks (GANs) are one of the most robust and versatile techniques in the field of generative artificial intelligence. In this work, we report on an application of GANs in the domain of synthetic spectral data…

It has long been thought that high-dimensional data encountered in many practical machine learning tasks have low-dimensional structure, i.e., the manifold hypothesis holds. A natural question, thus, is to estimate the intrinsic dimension…

Machine Learning · Statistics 2022-06-01 Adam Block , Zeyu Jia , Yury Polyanskiy , Alexander Rakhlin

Inspired by the fact that the matrix formulated by nonlocal similar patches in a natural image is of low rank, the rank approximation issue have been extensively investigated over the past decades, among which weighted nuclear norm…

Computer Vision and Pattern Recognition · Computer Science 2023-07-25 Qing-Hua Zhang , Liang-Tian He , Yi-Lun Wang , Liang-Jian Deng , Jun Liu

The problem of anomaly detection in astronomical surveys is becoming increasingly important as data sets grow in size. We present the results of an unsupervised anomaly detection method using a Wasserstein generative adversarial network…

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…

Machine Learning · Computer Science 2019-11-05 Jiezhang Cao , Langyuan Mo , Yifan Zhang , Kui Jia , Chunhua Shen , Mingkui Tan

Generative Adversarial Networks (GANs) are one of the most practical methods for learning data distributions. A popular GAN formulation is based on the use of Wasserstein distance as a metric between probability distributions.…

Machine Learning · Computer Science 2018-05-23 Maziar Sanjabi , Jimmy Ba , Meisam Razaviyayn , Jason D. Lee

The study of multidimensional discriminator (critic) output for Generative Adversarial Networks has been underexplored in the literature. In this paper, we generalize the Wasserstein GAN framework to take advantage of multidimensional…

Machine Learning · Statistics 2022-07-15 Mengyu Dai , Haibin Hang , Anuj Srivastava

Recently, Generative Adversarial Network (GAN) has been found wide applications in style transfer, image-to-image translation and image super-resolution. In this paper, a color-depth conditional GAN is proposed to concurrently resolve the…

Computer Vision and Pattern Recognition · Computer Science 2018-11-29 Lijun Zhao , Huihui Bai , Jie Liang , Bing Zeng , Anhong Wang , Yao Zhao

Existing approaches to depth or disparity estimation output a distribution over a set of pre-defined discrete values. This leads to inaccurate results when the true depth or disparity does not match any of these values. The fact that this…

Computer Vision and Pattern Recognition · Computer Science 2021-03-30 Divyansh Garg , Yan Wang , Bharath Hariharan , Mark Campbell , Kilian Q. Weinberger , Wei-Lun Chao

Generative networks are fundamentally different in their aim and methods compared to CNNs for classification, segmentation, or object detection. They have initially not been meant to be an image analysis tool, but to produce naturally…

Computer Vision and Pattern Recognition · Computer Science 2022-07-11 Markus Wenzel

When researchers develop new econometric methods it is common practice to compare the performance of the new methods to those of existing methods in Monte Carlo studies. The credibility of such Monte Carlo studies is often limited because…

Econometrics · Economics 2020-07-23 Susan Athey , Guido Imbens , Jonas Metzger , Evan Munro

Network embedding has become a hot research topic recently which can provide low-dimensional feature representations for many machine learning applications. Current work focuses on either (1) whether the embedding is designed as an…

Machine Learning · Computer Science 2018-05-22 Huiting Hong , Xin Li , Mingzhong Wang

Lack of ground-truth MR images impedes the common supervised training of neural networks for image reconstruction. To cope with this challenge, this paper leverages unpaired adversarial training for reconstruction networks, where the inputs…

Image and Video Processing · Electrical Eng. & Systems 2021-05-14 Ke Lei , Morteza Mardani , John M. Pauly , Shreyas S. Vasanawala

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

Generative adversarial networks (GANs) are a machine learning technique capable of producing high-quality synthetic images. In the field of materials science, when a crystallographic dataset includes inadequate or difficult-to-obtain…

In this paper, we study color image inpainting as a pure quaternion matrix completion problem. In the literature, the theoretical guarantee for quaternion matrix completion is not well-established. Our main aim is to propose a new…

Computer Vision and Pattern Recognition · Computer Science 2022-10-27 Junren Chen , Michael K. Ng

We present a method of generating high resolution 3D shapes from natural language descriptions. To achieve this goal, we propose two steps that generating low resolution shapes which roughly reflect texts and generating high resolution…

Graphics · Computer Science 2019-01-23 Kentaro Fukamizu , Masaaki Kondo , Ryuichi Sakamoto