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In this work we propose a new paradigm for designing efficient deep unrolling networks using operator sketching. The deep unrolling networks are currently the state-of-the-art solutions for imaging inverse problems. However, for…

Computer Vision and Pattern Recognition · Computer Science 2022-06-07 Junqi Tang , Subhadip Mukherjee , Carola-Bibiane Schönlieb

A broad class of problems at the core of computational imaging, sensing, and low-level computer vision reduces to the inverse problem of extracting latent images that follow a prior distribution, from measurements taken under a known…

Computer Vision and Pattern Recognition · Computer Science 2018-12-20 Steven Diamond , Vincent Sitzmann , Felix Heide , Gordon Wetzstein

Image reconstruction from undersampled k-space data has been playing an important role for fast MRI. Recently, deep learning has demonstrated tremendous success in various fields and also shown potential to significantly speed up MR…

Image and Video Processing · Electrical Eng. & Systems 2019-07-30 Dong Liang , Jing Cheng , Ziwen Ke , Leslie Ying

While neural networks have achieved vastly enhanced performance over traditional iterative methods in many cases, they are generally empirically designed and the underlying structures are difficult to interpret. The algorithm unrolling…

Computer Vision and Pattern Recognition · Computer Science 2019-02-18 Yuelong Li , Mohammad Tofighi , Vishal Monga , Yonina C. Eldar

Deep neural networks provide unprecedented performance gains in many real world problems in signal and image processing. Despite these gains, future development and practical deployment of deep networks is hindered by their blackbox nature,…

Image and Video Processing · Electrical Eng. & Systems 2020-08-10 Vishal Monga , Yuelong Li , Yonina C. Eldar

By absorbing the merits of both the model- and data-driven methods, deep physics-engaged learning scheme achieves high-accuracy and interpretable image reconstruction. It has attracted growing attention and become the mainstream for inverse…

Computer Vision and Pattern Recognition · Computer Science 2023-07-19 Bin Chen , Jiechong Song , Jingfen Xie , Jian Zhang

Deep learning is emerging as a new paradigm for solving inverse imaging problems. However, the deep learning methods often lack the assurance of traditional physics-based methods due to the lack of physical information considerations in…

Image and Video Processing · Electrical Eng. & Systems 2020-07-20 Dongdong Chen , Mike E. Davies

Most existing learning-based methods for solving imaging inverse problems can be roughly divided into two classes: iterative algorithms, such as plug-and-play and diffusion methods leveraging pretrained denoisers, and unrolled architectures…

Image and Video Processing · Electrical Eng. & Systems 2026-03-31 Matthieu Terris , Samuel Hurault , Maxime Song , Julian Tachella

In this paper, we propose a novel deep convolutional neural network (CNN)-based algorithm for solving ill-posed inverse problems. Regularized iterative algorithms have emerged as the standard approach to ill-posed inverse problems in the…

Computer Vision and Pattern Recognition · Computer Science 2018-09-11 Kyong Hwan Jin , Michael T. McCann , Emmanuel Froustey , Michael Unser

Recent work in machine learning shows that deep neural networks can be used to solve a wide variety of inverse problems arising in computational imaging. We explore the central prevailing themes of this emerging area and present a taxonomy…

Image and Video Processing · Electrical Eng. & Systems 2020-05-14 Gregory Ongie , Ajil Jalal , Christopher A. Metzler , Richard G. Baraniuk , Alexandros G. Dimakis , Rebecca Willett

Deep neural networks have been applied successfully to a wide variety of inverse problems arising in computational imaging. These networks are typically trained using a forward model that describes the measurement process to be inverted,…

Image and Video Processing · Electrical Eng. & Systems 2021-04-14 Davis Gilton , Gregory Ongie , Rebecca Willett

Inverse problems for accelerated MRI typically incorporate domain-specific knowledge about the forward encoding operator in a regularized reconstruction framework. Recently physics-driven deep learning (DL) methods have been proposed to use…

Image and Video Processing · Electrical Eng. & Systems 2020-07-09 Seyed Amir Hossein Hosseini , Burhaneddin Yaman , Steen Moeller , Mingyi Hong , Mehmet Akçakaya

We propose a new type of efficient deep-unrolling networks for solving imaging inverse problems. Conventional deep-unrolling methods require full forward operator and its adjoint across each layer, and hence can be significantly more…

Image and Video Processing · Electrical Eng. & Systems 2022-02-16 Junqi Tang , Subhadip Mukherjee , Carola-Bibiane Schönlieb

Neural networks allow solving many ill-posed inverse problems with unprecedented performance. Physics informed approaches already progressively replace carefully hand-crafted reconstruction algorithms in real applications. However, these…

Machine Learning · Computer Science 2023-12-19 Alban Gossard , Pierre Weiss

Many application domains, spanning from computational photography to medical imaging, require recovery of high-fidelity images from noisy, incomplete or partial/compressed measurements. State of the art methods for solving these inverse…

Image and Video Processing · Electrical Eng. & Systems 2022-07-13 Xinyi Wei , Hans van Gorp , Lizeth Gonzalez Carabarin , Daniel Freedman , Yonina C. Eldar , Ruud J. G. van Sloun

Recently deep neural networks have been widely and successfully applied in computer vision tasks and attracted growing interests in medical imaging. One barrier for the application of deep neural networks to medical imaging is the need of…

Computer Vision and Pattern Recognition · Computer Science 2018-07-06 Kuang Gong , Kyungsang Kim , Jianan Cui , Ning Guo , Ciprian Catana , Jinyi Qi , Quanzheng Li

Inverse scattering problems, such as those in electromagnetic imaging using phaseless data (PD-ISPs), involve imaging objects using phaseless measurements of wave scattering. Such inverse problems can be highly non-linear and ill-posed…

Signal Processing · Electrical Eng. & Systems 2022-12-07 Samruddhi Deshmukh , Amartansh Dubey , Ross Murch

Model-based learned iterative reconstruction methods have recently been shown to outperform classical reconstruction algorithms. Applicability of these methods to large scale inverse problems is however limited by the available memory for…

Image and Video Processing · Electrical Eng. & Systems 2020-04-21 Andreas Hauptmann , Jonas Adler , Simon Arridge , Ozan Öktem

Unrolled networks have become prevalent in various computer vision and imaging tasks. Although they have demonstrated remarkable efficacy in solving specific computer vision and computational imaging tasks, their adaptation to other…

Image and Video Processing · Electrical Eng. & Systems 2025-01-13 Eric Chen , Xi Chen , Arian Maleki , Shirin Jalali

The reconstruction of a high resolution image given a low resolution observation is an ill-posed inverse problem in imaging. Deep learning methods rely on training data to learn an end-to-end mapping from a low-resolution input to a…

Image and Video Processing · Electrical Eng. & Systems 2023-07-19 Iman Marivani , Evaggelia Tsiligianni , Bruno Cornelis , Nikos Deligiannis
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