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The fundamental computational issues in Bayesian inverse problems (BIP) governed by partial differential equations (PDEs) stem from the requirement of repeated forward model evaluations. A popular strategy to reduce such costs is to replace…

Numerical Analysis · Mathematics 2024-09-05 Zhiwei Gao , Liang Yan , Tao Zhou

As the computing power of modern hardware is increasing strongly, pre-trained deep learning models (e.g., BERT, GPT-3) learned on large-scale datasets have shown their effectiveness over conventional methods. The big progress is mainly…

Computer Vision and Pattern Recognition · Computer Science 2021-11-09 Hanting Chen , Yunhe Wang , Tianyu Guo , Chang Xu , Yiping Deng , Zhenhua Liu , Siwei Ma , Chunjing Xu , Chao Xu , Wen Gao

Deep learning has been proven to yield reliably generalizable answers to numerous classification and decision tasks. Here, we demonstrate for the first time, to our knowledge, that deep neural networks (DNNs) can be trained to solve inverse…

Computer Vision and Pattern Recognition · Computer Science 2017-06-27 Ayan Sinha , Justin Lee , Shuai Li , George Barbastathis

We propose a general framework for solving inverse problems in the presence of noise that requires no signal prior, no noise estimate, and no clean training data. We only require that the forward model be available and that the noise be…

Computer Vision and Pattern Recognition · Computer Science 2020-06-12 Hirofumi Kobayashi , Ahmet Can Solak , Joshua Batson , Loic A. Royer

An important task in image processing and neuroimaging is to extract quantitative information from the acquired images in order to make observations about the presence of disease or markers of development in populations. Having a…

Computer Vision and Pattern Recognition · Computer Science 2018-11-27 Camilo Bermudez , Andrew J. Plassard , Larry T. Davis , Allen T. Newton , Susan M Resnick , Bennett A. Landman

Denoising low-dose computed tomography (CT) images is a critical task in medical image computing. Supervised deep learning-based approaches have made significant advancements in this area in recent years. However, these methods typically…

Image and Video Processing · Electrical Eng. & Systems 2023-07-17 Xuan Liu , Yaoqin Xie , Jun Cheng , Songhui Diao , Shan Tan , Xiaokun Liang

Increasingly in medical imaging has emerged an issue surrounding the reconstruction of noisy images from raw measurement data. Where the forward problem is the generation of raw measurement data from a ground truth image, the inverse…

Image and Video Processing · Electrical Eng. & Systems 2020-03-24 Adam Peace

Deep supervision, which involves extra supervisions to the intermediate features of a neural network, was widely used in image classification in the early deep learning era since it significantly reduces the training difficulty and eases…

Computer Vision and Pattern Recognition · Computer Science 2023-03-17 Sucheng Ren , Fangyun Wei , Samuel Albanie , Zheng Zhang , Han Hu

Imaging inverse problems aim to recover high-dimensional signals from undersampled, noisy measurements, a fundamentally ill-posed task with infinite solutions in the null-space of the sensing operator. To resolve this ambiguity, prior…

Computer Vision and Pattern Recognition · Computer Science 2026-04-16 Roman Jacome , Romario Gualdrón-Hurtado , Leon Suarez , Henry Arguello

With the advent of recent advances in unsupervised learning, efficient training of a deep network for image denoising without pairs of noisy and clean images has become feasible. However, most current unsupervised denoising methods are…

Image and Video Processing · Electrical Eng. & Systems 2020-12-08 Kanggeun Lee , Won-Ki Jeong

We consider the generic deep image enhancement problem where an input image is transformed into a perceptually better-looking image. Recent methods for image enhancement consider the problem by performing style transfer and image…

Computer Vision and Pattern Recognition · Computer Science 2020-12-14 Indra Deep Mastan , Shanmuganathan Raman

The inductive bias of the convolutional neural network (CNN) can be a strong prior for image restoration, which is known as the Deep Image Prior (DIP). Recently, DIP is utilized in unsupervised dynamic MRI reconstruction, which adopts a…

Image and Video Processing · Electrical Eng. & Systems 2024-09-25 Zhongsen Li , Wenxuan Chen , Shuai Wang , Chuyu Liu , Qing Zou , Rui Li

Image denoising is a fundamental challenge in computer vision, with applications in photography and medical imaging. While deep learning-based methods have shown remarkable success, their reliance on specific noise distributions limits…

Computer Vision and Pattern Recognition · Computer Science 2025-08-28 Dongjin Kim , Jaekyun Ko , Muhammad Kashif Ali , Tae Hyun Kim

We propose a novel unsupervised deep-learning-based algorithm for dynamic magnetic resonance imaging (MRI) reconstruction. Dynamic MRI requires rapid data acquisition for the study of moving organs such as the heart. Existing reconstruction…

Image and Video Processing · Electrical Eng. & Systems 2021-01-26 Jaejun Yoo , Kyong Hwan Jin , Harshit Gupta , Jerome Yerly , Matthias Stuber , Michael Unser

Bayesian inference for inverse problems hinges critically on the choice of priors. In the absence of specific prior information, population-level distributions can serve as effective priors for parameters of interest. With the advent of…

Instrumentation and Methods for Astrophysics · Physics 2025-02-11 Gabriel Missael Barco , Alexandre Adam , Connor Stone , Yashar Hezaveh , Laurence Perreault-Levasseur

Image translation with convolutional neural networks has recently been used as an approach to multimodal change detection. Existing approaches train the networks by exploiting supervised information of the change areas, which, however, is…

Blind image deconvolution (BID) is a classic yet challenging problem in the field of image processing. Recent advances in deep image prior (DIP) have motivated a series of DIP-based approaches, demonstrating remarkable success in BID.…

Computer Vision and Pattern Recognition · Computer Science 2024-07-23 Jiangtao Zhang , Zongsheng Yue , Hui Wang , Qian Zhao , Deyu Meng

Image restoration and enhancement is a process of improving the image quality by removing degradations, such as noise, blur, and resolution degradation. Deep learning (DL) has recently been applied to image restoration and enhancement. Due…

Computer Vision and Pattern Recognition · Computer Science 2023-07-27 Yunfan Lu , Yiqi Lin , Hao Wu , Yunhao Luo , Xu Zheng , Hui Xiong , Lin Wang

Deep learning has demonstrated its power in image rectification by leveraging the representation capacity of deep neural networks via supervised training based on a large-scale synthetic dataset. However, the model may overfit the synthetic…

Computer Vision and Pattern Recognition · Computer Science 2021-06-21 Jinlong Fan , Jing Zhang , Dacheng Tao

Deep learning has revolutionized computer vision, yet a major gap persists between complex, data-hungry deep learning models and the practical demands of state-of-the-art scientific measurements. To fundamentally bridge this gap, we propose…

Materials Science · Physics 2025-10-13 Yuichi Yokoyama , Kohei Yamagami , Yuta Sumiya , Hayaru Shouno , Masaichiro Mizumaki