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Compressed sensing magnetic resonance imaging (CS-MRI) is a theoretical framework that can accurately reconstruct images from undersampled k-space data with a much lower sampling rate than the one set by the classical Nyquist-Shannon…

Medical Physics · Physics 2020-05-19 Maosong Ran , Wenjun Xia , Yongqiang Huang , Zexin Lu , Peng Bao , Yan Liu , Huaiqiang Sun , Jiliu Zhou , Yi Zhang

Turbo compressed sensing (Turbo-CS) is an efficient iterative algorithm for sparse signal recovery with partial orthogonal sensing matrices. In this paper, we extend the Turbo-CS algorithm to solve compressed sensing problems involving more…

Information Theory · Computer Science 2017-03-28 Zhipeng Xue , Junjie Ma , Xiaojun Yuan

Compressed sensing (CS) leverages the sparsity prior to provide the foundation for fast magnetic resonance imaging (fastMRI). However, iterative solvers for ill-posed problems hinder their adaption to time-critical applications. Moreover,…

Image and Video Processing · Electrical Eng. & Systems 2021-03-16 Jingshuai Liu , Mehrdad Yaghoobi

In the framework of multidimensional Compressed Sensing (CS), we introduce an analytical reconstruction formula that allows one to recover an $N$th-order $(I_1\times I_2\times \cdots \times I_N)$ data tensor $\underline{\mathbf{X}}$ from a…

Information Theory · Computer Science 2015-06-19 Cesar F. Caiafa , Andrzej Cichocki

Massive multiple-input multiple-output (MIMO) systems rely on channel state information (CSI) feedback to perform precoding and achieve performance gain in frequency division duplex (FDD) networks. However, the huge number of antennas poses…

Information Theory · Computer Science 2018-08-01 Tianqi Wang , Chao-Kai Wen , Shi Jin , Geoffrey Ye Li

Deep learning based image compressed sensing (CS) has achieved great success. However, existing CS systems mainly adopt a fixed measurement matrix to images, ignoring the fact the optimal measurement numbers and bases are different for…

Image and Video Processing · Electrical Eng. & Systems 2023-07-12 Bowen Zhang , Zhijin Qin , Geoffrey Ye Li

Recently, deep learning-based compressive imaging (DCI) has surpassed the conventional compressive imaging in reconstruction quality and faster running time. While multi-scale has shown superior performance over single-scale, research in…

Image and Video Processing · Electrical Eng. & Systems 2020-08-04 Thuong Nguyen Canh , Byeungwoo Jeon

The recently proposed sparsifying transform models incur low computational cost and have been applied to medical imaging. Meanwhile, deep models with nested network structure reveal great potential for learning features in different layers.…

Image and Video Processing · Electrical Eng. & Systems 2022-03-23 Xikai Yang , Zhishen Huang , Yong Long , Saiprasad Ravishankar

Pan-sharpening is a fundamental and significant task in the field of remote sensing imagery processing, in which high-resolution spatial details from panchromatic images are employed to enhance the spatial resolution of multi-spectral (MS)…

Computer Vision and Pattern Recognition · Computer Science 2017-12-29 Qiangqiang Yuan , Yancong Wei , Xiangchao Meng , Huanfeng Shen , Liangpei Zhang

Compressive sensing (CS) is a promising technology for realizing energy-efficient wireless sensors for long-term health monitoring. In this paper, we propose a data-driven CS framework that learns signal characteristics and individual…

Information Theory · Computer Science 2016-12-20 Kai Xu , Yuhao Wang , Yixing Li , Fengbo Ren

Learning compressed representations of multivariate time series (MTS) facilitates data analysis in the presence of noise and redundant information, and for a large number of variates and time steps. However, classical dimensionality…

Neural and Evolutionary Computing · Computer Science 2019-07-17 Filippo Maria Bianchi , Lorenzo Livi , Karl Øyvind Mikalsen , Michael Kampffmeyer , Robert Jenssen

The promise of compressive sensing (CS) has been offset by two significant challenges. First, real-world data is not exactly sparse in a fixed basis. Second, current high-performance recovery algorithms are slow to converge, which limits CS…

Machine Learning · Statistics 2017-01-17 Ali Mousavi , Richard G. Baraniuk

The Compressive Sensing (CS) as a novel acquisition approach that finds its usage in image processing. The hypothesis like this one assures signal recovery with high quality from decreased number of samples compared with the number required…

Signal Processing · Electrical Eng. & Systems 2019-03-06 Drazen Jelic , Ana Scekic , Melvudin Hot , Nemanja Sevaljevic

Compressed sensing (CS) MRI relies on adequate undersampling of the k-space to accelerate the acquisition without compromising image quality. Consequently, the design of optimal sampling patterns for these k-space coefficients has received…

Image and Video Processing · Electrical Eng. & Systems 2021-01-26 Iris A. M. Huijben , Bastiaan S. Veeling , Ruud J. G. van Sloun

Most traditional algorithms for compressive sensing image reconstruction suffer from the intensive computation. Recently, deep learning-based reconstruction algorithms have been reported, which dramatically reduce the time complexity than…

Computer Vision and Pattern Recognition · Computer Science 2019-09-05 Hantao Yao , Feng Dai , Dongming Zhang , Yike Ma , Shiliang Zhang , Yongdong Zhang , Qi Tian

We introduce compositional tensor trains (CTTs) for the approximation of multivariate functions, a class of models obtained by composing low-rank functions in the tensor-train format. This format can encode standard approximation tools,…

Numerical Analysis · Mathematics 2025-12-23 Martin Eigel , Charles Miranda , Anthony Nouy , David Sommer

We consider a multi-hop wireless sensor network that measures sparse events and propose a simple forwarding protocol based on Compressed Sensing (CS) which does not need any sophisticated Media Access Control (MAC) scheduling, neither a…

Other Computer Science · Computer Science 2012-08-08 Megumi Kaneko , Khaldoun Al Agha

In this paper, a Line based Compressive Sensing (LCS) scheme is discussed and proposed for low power visual applications, in which image acquisition is performed in a line-by-line manner at the encoder side using same measurement operator.…

Image and Video Processing · Electrical Eng. & Systems 2020-01-08 Mansoor Ebrahim , Syed Hasan Adil , Daniyal Nawaz , Kamran Raza

Compressed sensing (CS) shows that a signal having a sparse or compressible representation can be recovered from a small set of linear measurements. In classical CS theory, the sampling matrix and representation matrix are assumed to be…

Information Theory · Computer Science 2015-07-03 Yipeng Liu

In recent years, deep learning-based image compressive sensing (ICS) methods have achieved brilliant success. Many optimization-inspired networks have been proposed to bring the insights of optimization algorithms into the network structure…

Computer Vision and Pattern Recognition · Computer Science 2022-04-13 Wenjun Chen , Chunling Yang , Xin Yang
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