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Compressed Sensing (CS) is an effective approach to reduce the required number of samples for reconstructing a sparse signal in an a priori basis, but may suffer severely from the issue of basis mismatch. In this paper we study the problem…

Information Theory · Computer Science 2014-02-04 Yuejie Chi

Compressed sensing (CS) is a new signal acquisition paradigm that enables the reconstruction of signals and images from a low number of samples. A particularly exciting application of CS is Magnetic Resonance Imaging (MRI), where CS…

Information Theory · Computer Science 2016-08-17 Samuel Birns , Bohyun Kim , Stephanie Ku , Kevin Stangl , Deanna Needell

Compressed sensing (CS) is a signal acquisition paradigm to simultaneously acquire and reduce dimension of signals that admit sparse representations. When such a signal is acquired according to the principles of CS, the measurements still…

Information Theory · Computer Science 2019-11-19 Arman Arian , Ozgur Yilmaz

In this paper, a deep neural network with interpretable motion compensation called CS-MCNet is proposed to realize high-quality and real-time decoding of video compressive sensing. Firstly, explicit multi-hypothesis motion compensation is…

Image and Video Processing · Electrical Eng. & Systems 2020-10-09 Bowen Huang , Jinjia Zhou , Xiao Yan , Ming'e Jing , Rentao Wan , Yibo Fan

Compressive Sensing, as an emerging technique in signal processing is reviewed in this paper together with its common applications. As an alternative to the traditional signal sampling, Compressive Sensing allows a new acquisition strategy…

Information Theory · Computer Science 2017-05-16 Andjela Draganic , Irena Orovic , Srdjan Stankovic

The theory of compressed sensing (CS) has been successfully applied to image compression in the past few years, whose traditional iterative reconstruction algorithm is time-consuming. However, it has been reported deep learning-based CS…

Image and Video Processing · Electrical Eng. & Systems 2018-04-10 Yahan Wang , Huihui Bai , Lijun Zhao , Yao Zhao

Compressed sensing (CS) with prior information concerns the problem of reconstructing a sparse signal with the aid of a similar signal which is known beforehand. We consider a new approach to integrate the prior information into CS via…

Information Theory · Computer Science 2017-05-23 Xu Zhang , Wei Cui , Yulong Liu

Measurement samples are often taken in various monitoring applications. To reduce the sensing cost, it is desirable to achieve better sensing quality while using fewer samples. Compressive Sensing (CS) technique finds its role when the…

Information Theory · Computer Science 2016-11-18 Ying Li , Kun Xie , Xin Wang

In this work we present a deep learning framework for video compressive sensing. The proposed formulation enables recovery of video frames in a few seconds at significantly improved reconstruction quality compared to previous approaches.…

Computer Vision and Pattern Recognition · Computer Science 2017-12-19 Michael Iliadis , Leonidas Spinoulas , Aggelos K. Katsaggelos

Electron tomography has achieved higher resolution and quality at reduced doses with recent advances in compressed sensing. Compressed sensing (CS) theory exploits the inherent sparse signal structure to efficiently reconstruct…

Computational Physics · Physics 2020-12-02 Jonathan Schwartz , Huihuo Zheng , Marcus Hanwell , Yi Jiang , Robert Hovden

A novel framework of compressed sensing, namely statistical compressed sensing (SCS), that aims at efficiently sampling a collection of signals that follow a statistical distribution, and achieving accurate reconstruction on average, is…

Computer Vision and Pattern Recognition · Computer Science 2015-05-27 Guoshen Yu , Guillermo Sapiro

Compressive Sensing (CS) theory shows that a signal can be decoded from many fewer measurements than suggested by the Nyquist sampling theory, when the signal is sparse in some domain. Most of conventional CS recovery approaches, however,…

Computer Vision and Pattern Recognition · Computer Science 2014-04-30 Jian Zhang , Debin Zhao , Feng Jiang , Wen Gao

We study the reconstruction of discrete-valued sparse signals from underdetermined systems of linear equations. On the one hand, classical compressed sensing (CS) is designed to deal with real-valued sparse signals. On the other hand,…

Information Theory · Computer Science 2013-10-10 Susanne Sparrer , Robert F. H. Fischer

Compressed sensing (CS) or sparse signal reconstruction (SSR) is a signal processing technique that exploits the fact that acquired data can have a sparse representation in some basis. One popular technique to reconstruct or approximate the…

Information Theory · Computer Science 2014-05-08 Esa Ollila , Hyon-Jung Kim , Visa Koivunen

Deep learning based compressive sensing (CS) methods typically learn sampling operators using convolutional or block wise fully connected layers, which limit receptive fields and scale poorly for high dimensional data. We propose MTSCSNet,…

Image and Video Processing · Electrical Eng. & Systems 2026-02-10 Mehmet Yamac , Lei Xu , Serkan Kiranyaz , Moncef Gabbouj

Support estimation (SE) of a sparse signal refers to finding the location indices of the non-zero elements in a sparse representation. Most of the traditional approaches dealing with SE problem are iterative algorithms based on greedy…

Signal Processing · Electrical Eng. & Systems 2026-05-06 Mehmet Yamac , Mete Ahishali , Serkan Kiranyaz , Moncef Gabbouj

Deep learning approaches have shown promising performance for compressed sensing-based Magnetic Resonance Imaging. While deep neural networks trained with mean squared error (MSE) loss functions can achieve high peak signal to noise ratio,…

Computer Vision and Pattern Recognition · Computer Science 2018-07-02 Maximilian Seitzer , Guang Yang , Jo Schlemper , Ozan Oktay , Tobias Würfl , Vincent Christlein , Tom Wong , Raad Mohiaddin , David Firmin , Jennifer Keegan , Daniel Rueckert , Andreas Maier

Compressive Sensing (CS) stipulates that a sparse signal can be recovered from a small number of linear measurements, and that this recovery can be performed efficiently in polynomial time. The framework of model-based compressive sensing…

Information Theory · Computer Science 2015-04-22 Chinmay Hegde , Piotr Indyk , Ludwig Schmidt

Compressed Sensing (CS) is an appealing framework for applications such as Magnetic Resonance Imaging (MRI). However, up-to-date, the sensing schemes suggested by CS theories are made of random isolated measurements, which are usually…

Information Theory · Computer Science 2016-06-14 Claire Boyer , Jérémie Bigot , Pierre Weiss

Compressive sensing (CS) is an effective approach for fast Magnetic Resonance Imaging (MRI). It aims at reconstructing MR images from a small number of under-sampled data in k-space, and accelerating the data acquisition in MRI. To improve…

Computer Vision and Pattern Recognition · Computer Science 2017-05-22 Yan Yang , Jian Sun , Huibin Li , Zongben Xu