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Popular methods in compressed sensing (CS) are dependent on deep learning (DL), where large amounts of data are used to train non-linear reconstruction models. However, ensuring generalisability over and access to multiple datasets is…

Image and Video Processing · Electrical Eng. & Systems 2024-09-02 Marlon Bran Lorenzana , Feng Liu , Shekhar S. Chandra

Layer factorization has emerged as a widely used technique for training memory-efficient neural networks. However, layer factorization methods face several challenges, particularly a lack of robustness during the training process. To…

Numerical Analysis · Mathematics 2025-02-06 Jonas Kusch , Steffen Schotthöfer , Alexandra Walter

Reconstructing under-sampled k-space measurements in Compressed Sensing MRI (CS-MRI) is classically solved with regularized least-squares. Recently, deep learning has been used to amortize this optimization by training reconstruction…

Image and Video Processing · Electrical Eng. & Systems 2021-01-07 Alan Q. Wang , Adrian V. Dalca , Mert R. Sabuncu

$\ell_1$ based sparse regularization plays a central role in compressive sensing and image processing. In this paper, we propose $\ell_1$DecNet, as an unfolded network derived from a variational decomposition model incorporating $\ell_1$…

Image and Video Processing · Electrical Eng. & Systems 2025-07-01 Yumeng Ren , Yiming Gao , Chunlin Wu , Xue-cheng Tai

Given a limited number of entries from the superposition of a low-rank matrix plus the product of a known fat compression matrix times a sparse matrix, recovery of the low-rank and sparse components is a fundamental task subsuming…

Multiagent Systems · Computer Science 2013-10-01 Morteza Mardani , Gonzalo Mateos , Georgios B. Giannakis

Novel sparse reconstruction algorithms are proposed for beamspace channel estimation in massive multiple-input multiple-output systems. The proposed algorithms minimize a least-squares objective having a nonconvex regularizer. This…

Information Theory · Computer Science 2021-12-02 Pengxia Wu , Julian Cheng

Many imaging science tasks can be modeled as a discrete linear inverse problem. Solving linear inverse problems is often challenging, with ill-conditioned operators and potentially non-unique solutions. Embedding prior knowledge, such as…

Numerical Analysis · Mathematics 2023-12-07 Elizabeth Newman , Jack Michael Solomon , Matthias Chung

Hyperspectral image (HSI) denoising is a crucial preprocessing step for subsequent tasks. The clean HSI usually reside in a low-dimensional subspace, which can be captured by low-rank and sparse representation, known as the physical prior…

Computer Vision and Pattern Recognition · Computer Science 2025-09-03 Jin Ye , Fengchao Xiong , Jun Zhou , Yuntao Qian

We study a data model in which the data matrix D can be expressed as D = L + S + C, where L is a low rank matrix, S an element-wise sparse matrix and C a matrix whose non-zero columns are outlying data points. To date, robust PCA algorithms…

Machine Learning · Statistics 2019-01-30 Mostafa Rahmani , George Atia

Parallel magnetic resonance imaging has served as an effective and widely adopted technique for accelerating scans. The advent of sparse sampling offers aggressive acceleration, allowing flexible sampling and better reconstruction.…

Medical Physics · Physics 2019-09-09 Xinlin Zhang , Di Guo , Yiman Huang , Ying Chen , Liansheng Wang , Feng Huang , Xiaobo Qu

Dynamic magnetic resonance (MR) imaging has generated great research interest, as it can provide both spatial and temporal information for clinical diagnosis. However, slow imaging speed or long scanning time is still one of the challenges…

Computer Vision and Pattern Recognition · Computer Science 2019-01-21 Ziwen Ke , Shanshan Wang , Huitao Cheng , Leslie Ying , Qiegen Liu , Hairong Zheng , Dong Liang

Structured low-rank (SLR) algorithms, which exploit annihilation relations between the Fourier samples of a signal resulting from different properties, is a powerful image reconstruction framework in several applications. This scheme relies…

Machine Learning · Computer Science 2020-08-11 Aniket Pramanik , Hemant Aggarwal , Mathews Jacob

Purpose: To introduce a novel deep learning based approach for fast and high-quality dynamic multi-coil MR reconstruction by learning a complementary time-frequency domain network that exploits spatio-temporal correlations simultaneously…

Image and Video Processing · Electrical Eng. & Systems 2021-06-21 Chen Qin , Jinming Duan , Kerstin Hammernik , Jo Schlemper , Thomas Küstner , René Botnar , Claudia Prieto , Anthony N. Price , Joseph V. Hajnal , Daniel Rueckert

Recovering color images and videos from highly undersampled data is a fundamental and challenging task in face recognition and computer vision. By the multi-dimensional nature of color images and videos, in this paper, we propose a novel…

Computer Vision and Pattern Recognition · Computer Science 2022-08-22 Chenjian Pan , Chen Ling , Hongjin He , Liqun Qi , Yanwei Xu

This paper considers the problem of identifying multivariate autoregressive (AR) sparse plus low-rank graphical models. Based on the corresponding problem formulation recently presented, we use the alternating direction method of…

Machine Learning · Computer Science 2015-03-31 Raphaël Liégeois , Bamdev Mishra , Mattia Zorzi , Rodolphe Sepulchre

Hyperspectral images (HSIs) are often degraded by complex mixed noise during acquisition and transmission, making effective denoising essential for subsequent analysis. Recent hybrid approaches that bridge model-driven and data-driven…

Computer Vision and Pattern Recognition · Computer Science 2025-06-04 Liang Li , Jianli Zhao , Sheng Fang , Siyu Chen , Hui Sun

Low-field magnetic resonance imaging (MRI) offers a cost-effective alternative for medical imaging in resource-limited settings. However, its widespread adoption is hindered by two key challenges: prolonged scan times and reduced image…

Computer Vision and Pattern Recognition · Computer Science 2026-03-17 Daniel Tweneboah Anyimadu , Mohammed Abdalla , Mohammed M. Abdelsamea , Ahmed Karam Eldaly

Magnetic resonance imaging (MRI) is one of the most commonly applied tests in neurology and neurosurgery. However, the utility of MRI is largely limited by its long acquisition time, which might induce many problems including patient…

Computer Vision and Pattern Recognition · Computer Science 2022-10-17 Xiongchao Chen , Yoshihisa Shinagawa , Zhigang Peng , Gerardo Hermosillo Valadez

In this paper, we propose a novel multi-task learning method based on the deep convolutional network. The proposed deep network has four convolutional layers, three max-pooling layers, and two parallel fully connected layers. To adjust the…

Machine Learning · Computer Science 2019-04-17 Fang Su , Hai-Yang Shang , Jing-Yan Wang

Low-rank tensor compression has been proposed as a promising approach to reduce the memory and compute requirements of neural networks for their deployment on edge devices. Tensor compression reduces the number of parameters required to…

Machine Learning · Computer Science 2021-11-03 Cole Hawkins , Haichuan Yang , Meng Li , Liangzhen Lai , Vikas Chandra
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