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We present a method to generate renewable scenarios using Bayesian probabilities by implementing the Bayesian generative adversarial network~(Bayesian GAN), which is a variant of generative adversarial networks based on two interconnected…

Optimization and Control · Mathematics 2018-02-06 Yize Chen , Pan Li , Baosen Zhang

Global probabilistic inversion within the latent space learned by a Generative Adversarial Network (GAN) has been recently demonstrated. Compared to inversion on the original model space, using the latent space of a trained GAN can offer…

Formulating a statistical inverse problem as one of inference in a Bayesian model has great appeal, notably for what this brings in terms of coherence, the interpretability of regularisation penalties, the integration of all uncertainties,…

Statistics Theory · Mathematics 2012-12-19 Natalia A. Bochkina , Peter J. Green

Generative adversarial networks (GANs) have received a tremendous amount of attention in the past few years, and have inspired applications addressing a wide range of problems. Despite its great potential, GANs are difficult to train.…

Machine Learning · Computer Science 2017-05-09 Zhimin Chen , Yuguang Tong

We propose a machine-learning algorithm for Bayesian inverse problems in the function-space regime based on one-step generative transport. Building on the Mean Flows, we learn a fully conditional amortized sampler with a neural-operator…

Machine Learning · Statistics 2026-03-17 Zilan Cheng , Li-Lian Wang , Zhongjian Wang

Generative adversarial networks (GANs) have shown remarkable success in generation of unstructured data, such as, natural images. However, discovery and separation of modes in the generated space, essential for several tasks beyond naive…

Computer Vision and Pattern Recognition · Computer Science 2019-03-26 Deepak Mishra , Prathosh A. P. , Aravind Jayendran , Varun Srivastava , Santanu Chaudhury

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

The ability of the Generative Adversarial Networks (GANs) framework to learn generative models mapping from simple latent distributions to arbitrarily complex data distributions has been demonstrated empirically, with compelling results…

Machine Learning · Computer Science 2017-04-05 Jeff Donahue , Philipp Krähenbühl , Trevor Darrell

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

Class imbalance is a common problem in supervised learning and impedes the predictive performance of classification models. Popular countermeasures include oversampling the minority class. Standard methods like SMOTE rely on finding nearest…

Machine Learning · Computer Science 2020-08-24 Justin Engelmann , Stefan Lessmann

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

Generative Adversarial Nets (GANs) and Variational Auto-Encoders (VAEs) provide impressive image generations from Gaussian white noise, but the underlying mathematics are not well understood. We compute deep convolutional network generators…

Machine Learning · Computer Science 2018-05-18 Tomás Angles , Stéphane Mallat

Inverse medium scattering solvers generally reconstruct a single solution without an associated measure of uncertainty. This is true both for the classical iterative solvers and for the emerging deep learning methods. But ill-posedness and…

Machine Learning · Computer Science 2022-12-12 AmirEhsan Khorashadizadeh , Ali Aghababaei , Tin Vlašić , Hieu Nguyen , Ivan Dokmanić

Understanding the large-scale structure of the Universe and unravelling the mysteries of dark matter are fundamental challenges in contemporary cosmology. Reconstruction of the cosmological matter distribution from lensing observables,…

Cosmology and Nongalactic Astrophysics · Physics 2024-06-25 Jessica Whitney , Tobías Liaudat , Matt Price , Matthijs Mars , Jason D. McEwen

Image inpainting is one of the important tasks in computer vision which focuses on the reconstruction of missing regions in an image. The aim of this paper is to introduce an image inpainting model based on Wasserstein Generative…

Computer Vision and Pattern Recognition · Computer Science 2021-09-16 Daniel Vašata , Tomáš Halama , Magda Friedjungová

Despite continuous improvements, precipitation forecasts are still not as accurate and reliable as those of other meteorological variables. A major contributing factor to this is that several key processes affecting precipitation…

Atmospheric and Oceanic Physics · Physics 2022-11-09 Lucy Harris , Andrew T. T. McRae , Matthew Chantry , Peter D. Dueben , Tim N. Palmer

An open secret in contemporary machine learning is that many models work beautifully on standard benchmarks but fail to generalize outside the lab. This has been attributed to biased training data, which provide poor coverage over real…

Computer Vision and Pattern Recognition · Computer Science 2020-02-18 Ali Jahanian , Lucy Chai , Phillip Isola

We present an algorithm for learning a latent variable generative model via generative adversarial learning where the canonical uniform noise input is replaced by samples from a graphical model. This graphical model is learned by a…

Machine Learning · Computer Science 2021-07-05 Max Wilson , Thomas Vandal , Tad Hogg , Eleanor Rieffel

Generative adversarial networks (GANs) are deep neural networks that allow us to sample from an arbitrary probability distribution without explicitly estimating the distribution. There is a generator that takes a latent vector as input and…

Machine Learning · Computer Science 2021-06-22 Alper Ahmetoğlu , Ethem Alpaydın

We propose MAD-GAN, an intuitive generalization to the Generative Adversarial Networks (GANs) and its conditional variants to address the well known problem of mode collapse. First, MAD-GAN is a multi-agent GAN architecture incorporating…

Computer Vision and Pattern Recognition · Computer Science 2018-07-17 Arnab Ghosh , Viveka Kulharia , Vinay Namboodiri , Philip H. S. Torr , Puneet K. Dokania