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Compressive sensing is a method to recover the original image from undersampled measurements. In order to overcome the ill-posedness of this inverse problem, image priors are used such as sparsity in the wavelet domain, minimum…

Computer Vision and Pattern Recognition · Computer Science 2018-12-20 Magauiya Zhussip , Shakarim Soltanayev , Se Young Chun

Given a collection of observed signals corrupted with Gaussian noise, how can we learn to optimally denoise them? This fundamental problem arises in both empirical Bayes and generative modeling. In empirical Bayes, the predominant approach…

Statistics Theory · Mathematics 2025-09-25 Sulagna Ghosh , Nikolaos Ignatiadis , Frederic Koehler , Amber Lee

Deep neural networks give state-of-the-art accuracy for reconstructing images from few and noisy measurements, a problem arising for example in accelerated magnetic resonance imaging (MRI). However, recent works have raised concerns that…

Image and Video Processing · Electrical Eng. & Systems 2021-06-14 Mohammad Zalbagi Darestani , Akshay S. Chaudhari , Reinhard Heckel

Reliable MRI is crucial for accurate interpretation in therapeutic and diagnostic tasks. However, undersampling during MRI acquisition as well as the overparameterized and non-transparent nature of deep learning (DL) leaves substantial…

Computer Vision and Pattern Recognition · Computer Science 2020-04-28 Vineet Edupuganti , Morteza Mardani , Shreyas Vasanawala , John Pauly

To develop a deep-learning method for achieving fast high-resolution MR elastography from highly undersampled data without the need of high-quality training dataset. We first framed the deep neural network representation as a nonlinear…

Signal Processing · Electrical Eng. & Systems 2026-01-21 Xi Peng

Reconstruction of magnetic resonance imaging (MRI) data has been positively affected by deep learning. A key challenge remains: to improve generalisation to distribution shifts between the training and testing data. Most approaches aim to…

Image and Video Processing · Electrical Eng. & Systems 2024-02-15 Yuyang Xue , Chen Qin , Sotirios A. Tsaftaris

This paper discusses the properties of certain risk estimators recently proposed to choose regularization parameters in ill-posed problems. A simple approach is Stein's unbiased risk estimator (SURE), which estimates the risk in the data…

Deep learning (DL) has emerged as a tool for improving accelerated MRI reconstruction. A common strategy among DL methods is the physics-based approach, where a regularized iterative algorithm alternating between data consistency and a…

Image and Video Processing · Electrical Eng. & Systems 2020-07-03 Burhaneddin Yaman , Seyed Amir Hossein Hosseini , Steen Moeller , Jutta Ellermann , Kâmil Uǧurbil , Mehmet Akçakaya

There remains an important need for the development of image reconstruction methods that can produce diagnostically useful images from undersampled measurements. In magnetic resonance imaging (MRI), for example, such methods can facilitate…

Image and Video Processing · Electrical Eng. & Systems 2021-06-28 Varun A. Kelkar , Sayantan Bhadra , Mark A. Anastasio

A deep learning approach to blind denoising of images without complete knowledge of the noise statistics is considered. We propose DN-ResNet, which is a deep convolutional neural network (CNN) consisting of several residual blocks…

Image and Video Processing · Electrical Eng. & Systems 2019-04-12 Haoyu Ren , Mostafa El-Khamy , Jungwon Lee

Algorithms to solve variational regularization of ill-posed inverse problems usually involve operators that depend on a collection of continuous parameters. When these operators enjoy some (local) regularity, these parameters can be…

Statistics Theory · Mathematics 2014-08-12 Charles-Alban Deledalle , Samuel Vaiter , Jalal M. Fadili , Gabriel Peyré

Ensembling a neural network is a widely recognized approach to enhance model performance, estimate uncertainty, and improve robustness in deep supervised learning. However, deep ensembles often come with high computational costs and memory…

Traditional feature-based image stitching technologies rely heavily on feature detection quality, often failing to stitch images with few features or low resolution. The learning-based image stitching solutions are rarely studied due to the…

Computer Vision and Pattern Recognition · Computer Science 2021-07-07 Lang Nie , Chunyu Lin , Kang Liao , Shuaicheng Liu , Yao Zhao

Image reconstruction methods based on deep neural networks have shown outstanding performance, equalling or exceeding the state-of-the-art results of conventional approaches, but often do not provide uncertainty information about the…

Computer Vision and Pattern Recognition · Computer Science 2020-12-01 Riccardo Barbano , Željko Kereta , Chen Zhang , Andreas Hauptmann , Simon Arridge , Bangti Jin

Magnetic resonance imaging (MRI) is a vital clinical diagnostic tool, yet its application is limited by prolonged scan times. Accelerating MRI reconstruction addresses this issue by reconstructing high-fidelity MR images from undersampled…

Computer Vision and Pattern Recognition · Computer Science 2025-11-10 Jingran Xu , Yuanyuan Liu , Yuanbiao Yang , Zhuo-Xu Cui , Jing Cheng , Qingyong Zhu , Nannan Zhang , Yihang Zhou , Dong Liang , Yanjie Zhu

Training networks to perform metric relocalization traditionally requires accurate image correspondences. In practice, these are obtained by restricting domain coverage, employing additional sensors, or capturing large multi-view datasets.…

Computer Vision and Pattern Recognition · Computer Science 2020-11-03 Mike Kasper , Fernando Nobre , Christoffer Heckman , Nima Keivan

Convolutional neural networks have recently been used for multi-focus image fusion. However, due to the lack of labeled data for supervised training of such networks, existing methods have resorted to adding Gaussian blur in focused images…

Computer Vision and Pattern Recognition · Computer Science 2018-06-20 Xiang Yan , Syed Zulqarnain Gilani , Hanlin Qin , Ajmal Mian

In this study, an efficient stochastic gradient-free method, the ensemble neural networks (ENN), is developed. In the ENN, the optimization process relies on covariance matrices rather than derivatives. The covariance matrices are…

Machine Learning · Statistics 2019-11-11 Yuntian Chen , Haibin Chang , Meng Jin , Dongxiao Zhang

Deep neural network based methods are the state of the art in various image restoration problems. Standard supervised learning frameworks require a set of noisy measurement and clean image pairs for which a distance between the output of…

Image and Video Processing · Electrical Eng. & Systems 2021-03-31 Rihuan Ke , Carola-Bibiane Schönlieb

Imaging is a standard example of an inverse problem, where the task of reconstructing a ground truth from a noisy measurement is ill-posed. Recent state-of-the-art approaches for imaging use deep learning, spearheaded by unrolled and…