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In the context of solving inverse problems for physics applications within a Bayesian framework, we present a new approach, Markov Chain Generative Adversarial Neural Networks (MCGANs), to alleviate the computational costs associated with…

Numerical Analysis · Mathematics 2022-09-08 Nikolaj T. Mücke , Benjamin Sanderse , Sander Bohté , Cornelis W. Oosterlee

While Generative Adversarial Networks (GANs) have seen huge successes in image synthesis tasks, they are notoriously difficult to adapt to different datasets, in part due to instability during training and sensitivity to hyperparameters.…

Computer Vision and Pattern Recognition · Computer Science 2020-06-16 Animesh Karnewar , Oliver Wang

Inverse problems are ubiquitous in nature, arising in almost all areas of science and engineering ranging from geophysics and climate science to astrophysics and biomechanics. One of the central challenges in solving inverse problems is…

Machine Learning · Statistics 2022-09-21 Dhruv V Patel , Deep Ray , Assad A Oberai

To synthesize high-quality person images with arbitrary poses is challenging. In this paper, we propose a novel Multi-scale Conditional Generative Adversarial Networks (MsCGAN), aiming to convert the input conditional person image to a…

Computer Vision and Pattern Recognition · Computer Science 2020-03-06 Wei Tang , Gui Li , Xinyuan Bao , Teng Li

Estimation of spatially-varying parameters for computationally expensive forward models governed by partial differential equations is addressed. A novel multiscale Bayesian inference approach is introduced based on deep probabilistic…

Machine Learning · Statistics 2022-03-02 Yingzhi Xia , Nicholas Zabaras

Training convolutional neural networks (CNNs) on high-resolution images is often bottlenecked by the cost of evaluating gradients of the loss on the finest spatial mesh. To address this, we propose Multiscale Gradient Estimation (MGE), a…

Machine Learning · Computer Science 2026-03-03 Shadab Ahamed , Niloufar Zakariaei , Eldad Haber , Moshe Eliasof

We introduce a new Bayesian multi-class support vector machine by formulating a pseudo-likelihood for a multi-class hinge loss in the form of a location-scale mixture of Gaussians. We derive a variational-inference-based training objective…

Machine Learning · Computer Science 2018-06-08 Martin Wistuba , Ambrish Rawat

Deep generative modeling has led to new and state of the art approaches for enforcing structural priors in a variety of inverse problems. In contrast to priors given by sparsity, deep models can provide direct low-dimensional…

Optimization and Control · Mathematics 2018-12-12 Wen Huang , Paul Hand , Reinhard Heckel , Vladislav Voroninski

In this article, we employ multiscale physics-informed neural networks (MscalePINNs) for the inverse design of finite-size photonic materials with stealthy hyperuniform (SHU) disordered geometries. Specifically, we show that MscalePINNs can…

Optics · Physics 2025-05-22 Roberto Riganti , Yilin Zhu , Wei Cai , Salvatore Torquato , Luca Dal Negro

Neural networks and machine learning models for uncertainty quantification suffer from limited scalability and poor reliability compared to their deterministic counterparts. In industry-scale active learning settings, where generating a…

Numerical Analysis · Mathematics 2026-02-12 Chanwook Park , Brian Kim , Jiachen Guo , Wing Kam Liu

Trained generative models have shown remarkable performance as priors for inverse problems in imaging -- for example, Generative Adversarial Network priors permit recovery of test images from 5-10x fewer measurements than sparsity priors.…

Computer Vision and Pattern Recognition · Computer Science 2025-10-28 Muhammad Asim , Mara Daniels , Oscar Leong , Ali Ahmed , Paul Hand

Deep directed generative models have attracted much attention recently due to their generative modeling nature and powerful data representation ability. In this paper, we review different structures of deep directed generative models and…

Machine Learning · Computer Science 2017-10-16 Siqi Nie , Meng Zheng , Qiang Ji

The Bayesian approach to solving inverse problems relies on the choice of a prior. This critical ingredient allows the formulation of expert knowledge or physical constraints in a probabilistic fashion and plays an important role for the…

Machine Learning · Statistics 2022-11-08 Manuel Marschall , Gerd Wübbeler , Franko Schmähling , Clemens Elster

This paper presents a novel multi-fake evolutionary generative adversarial network(MFEGAN) for handling imbalance hyperspectral image classification. It is an end-to-end approach in which different generative objective losses are considered…

Image and Video Processing · Electrical Eng. & Systems 2024-09-04 Tanmoy Dam , Nidhi Swami , Sreenatha G. Anavatti , Hussein A. Abbass

Magnetic resonance image (MRI) reconstruction is a severely ill-posed linear inverse task demanding time and resource intensive computations that can substantially trade off {\it accuracy} for {\it speed} in real-time imaging. In addition,…

Computer Vision and Pattern Recognition · Computer Science 2017-06-02 Morteza Mardani , Enhao Gong , Joseph Y. Cheng , Shreyas Vasanawala , Greg Zaharchuk , Marcus Alley , Neil Thakur , Song Han , William Dally , John M. Pauly , Lei Xing

The degree of difficulty in image inpainting depends on the types and sizes of the missing parts. Existing image inpainting approaches usually encounter difficulties in completing the missing parts in the wild with pleasing visual and…

Computer Vision and Pattern Recognition · Computer Science 2020-08-18 Chu-Tak Li , Wan-Chi Siu , Zhi-Song Liu , Li-Wen Wang , Daniel Pak-Kong Lun

Machine learning methods for computational imaging require uncertainty estimation to be reliable in real settings. While Bayesian models offer a computationally tractable way of recovering uncertainty, they need large data volumes to be…

Machine Learning · Computer Science 2020-08-24 Francesco Tonolini , Jack Radford , Alex Turpin , Daniele Faccio , Roderick Murray-Smith

Idempotent Generative Networks (IGNs) are deep generative models that also function as local data manifold projectors, mapping arbitrary inputs back onto the manifold. They are trained to act as identity operators on the data and as…

Deep generative models (DGMs) and their conditional counterparts provide a powerful ability for general-purpose generative modeling of data distributions. However, it remains challenging for existing methods to address advanced conditional…

Computer Vision and Pattern Recognition · Computer Science 2023-05-24 Yuxiao Li , Santiago Mazuelas , Yuan Shen

Convolutional Neural Networks (CNNs) have advanced significantly in visual representation learning and recognition. However, they face notable challenges in performance and computational efficiency when dealing with real-world, multi-scale…

Computer Vision and Pattern Recognition · Computer Science 2024-03-28 Wenzhuo Liu , Fei Zhu , Cheng-Lin Liu
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