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Related papers: Compression-Based Compressed Sensing

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Compressed sensing is a novel technique where one can recover sparse signals from the undersampled measurements. In this correspondence, a $K \times N$ measurement matrix for compressed sensing is deterministically constructed via additive…

Information Theory · Computer Science 2010-10-04 Nam Yul Yu

Compressive sensing (CS) is an emerging sampling technology that enables reconstructing signals from a subset of measurements and even corrupted measurements. Deep learning-based compressive sensing (DCS) has improved CS performance while…

Computer Vision and Pattern Recognition · Computer Science 2019-12-02 Thuong , Nguyen Canh , Chien , Trinh Van

A field known as Compressive Sensing (CS) has recently emerged to help address the growing challenges of capturing and processing high-dimensional signals and data sets. CS exploits the surprising fact that the information contained in a…

Machine Learning · Statistics 2010-02-08 Michael B. Wakin

Compressed sensing has a wide range of applications that include error correction, imaging, radar and many more. Given a sparse signal in a high dimensional space, one wishes to reconstruct that signal accurately and efficiently from a…

Numerical Analysis · Mathematics 2009-05-28 Deanna Needell

Dimension reduction is widely regarded as an effective way for decreasing the computation, storage and communication loads of data-driven intelligent systems, leading to a growing demand for statistical methods that allow analysis (e.g.,…

Computer Vision and Pattern Recognition · Computer Science 2019-08-23 Guangcan Liu , Zhao Zhang , Qingshan Liu , Kongkai Xiong

This article introduces a novel communication scheme, termed coded compressed sensing, for unsourced multiple-access communication. The proposed divide-and-conquer approach leverages recent advances in compressed sensing and forward error…

Signal Processing · Electrical Eng. & Systems 2019-06-26 Vamsi K. Amalladinne , Jean-Francois Chamberland , Krishna R. Narayanan

Compressed Sensing aims to capture attributes of $k$-sparse signals using very few measurements. In the standard Compressed Sensing paradigm, the $\m\times \n$ measurement matrix $\A$ is required to act as a near isometry on the set of all…

Information Theory · Computer Science 2015-05-14 Robert Calderbank , Stephen Howard , Sina Jafarpour

Snapshot compressed sensing (CS) refers to compressive imaging systems in which multiple frames are mapped into a single measurement frame. Each pixel in the acquired frame is a noisy linear mapping of the corresponding pixels in the frames…

Information Theory · Computer Science 2019-04-30 Shirin Jalali , Xin Yuan

Compressive sensing (CS) exploits sparsity to recover sparse or compressible signals from dimensionality reducing, non-adaptive sensing mechanisms. Sparsity is also used to enhance interpretability in machine learning and statistics…

Information Theory · Computer Science 2015-07-21 Anastasios Kyrillidis , Luca Baldassarre , Marwa El-Halabi , Quoc Tran-Dinh , Volkan Cevher

An intriguing phenomenon in many instances of compressed sensing is that the reconstruction quality is governed not just by the overall sparsity of the signal, but also on its structure. This paper is about understanding this phenomenon,…

Functional Analysis · Mathematics 2014-03-28 Ben Adcock , Anders C. Hansen , Bogdan Roman

Camera sensors have been widely used in intelligent robotic systems. Developing camera sensors with high sensing efficiency has always been important to reduce the power, memory, and other related resources. Inspired by recent success on…

Image and Video Processing · Electrical Eng. & Systems 2023-10-11 Bowen Zhang , Zhijin Qin , Geoffrey Ye Li

Spectrum resources management of growing demands is a challenging problem and Cognitive Radio (CR) known to be capable of improving the spectrum utilization. Recently, Power Spectral Density (PSD) map is defined to enable the CR to reuse…

Information Theory · Computer Science 2017-03-17 Mohammad Eslami , Seyed Hamid Safavi , Farah Torkamani-Azar , Esfandiar Mehrshahi

Many information systems employ lossy compression as a crucial intermediate stage among other processing components. While the important distortion is defined by the system's input and output signals, the compression usually ignores the…

Information Theory · Computer Science 2018-05-14 Yehuda Dar , Michael Elad , Alfred M. Bruckstein

Sign truncated matching pursuit (STrMP) algorithm is presented in this paper. STrMP is a new greedy algorithm for the recovery of sparse signals from the sign measurement, which combines the principle of consistent reconstruction with…

Information Theory · Computer Science 2013-12-13 Wenhui Liu , Da Gong , Zhiqiang Xu

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

Compressive sensing (CS) has been studied and applied in structural health monitoring for wireless data acquisition and transmission, structural modal identification, and spare damage identification. The key issue in CS is finding the…

Signal Processing · Electrical Eng. & Systems 2019-03-25 Yuequan Bao , Zhiyi Tang , Hui Li

Compressive Sensing (CS) is a new paradigm for the efficient acquisition of signals that have sparse representation in a certain domain. Traditionally, CS has provided numerous methods for signal recovery over an orthonormal basis. However,…

Information Theory · Computer Science 2019-05-08 Jianchen Zhu , Shengjie Zhao , Qingjiang Shi , Gonzalo R. Arce

We consider large scale distributed optimization over a set of edge devices connected to a central server, where the limited communication bandwidth between the server and edge devices imposes a significant bottleneck for the optimization…

Optimization and Control · Mathematics 2021-12-28 Yujie Tang , Vikram Ramanathan , Junshan Zhang , Na Li

Compressed Sensing decoding algorithms can efficiently recover an N dimensional real-valued vector x to within a factor of its best k-term approximation by taking m = 2klog(N/k) measurements y = Phi x. If the sparsity or approximate…

Numerical Analysis · Mathematics 2008-12-09 Rachel Ward

Compressive sensing (CS) has recently emerged as a framework for efficiently capturing signals that are sparse or compressible in an appropriate basis. While often motivated as an alternative to Nyquist-rate sampling, there remains a gap…

Information Theory · Computer Science 2012-03-23 Mark A. Davenport , Michael B. Wakin