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In this paper, we address the sparse multiple measurement vector (MMV) problem where the objective is to recover a set of sparse nonzero row vectors or indices of a signal matrix from incomplete measurements. Ideally, regardless of the…

Information Theory · Computer Science 2016-01-27 Kyung Su Kim , Sae-Young Chung

Generalized orthogonal matching pursuit (gOMP), also called orthogonal multi-matching pursuit, is an extension of OMP in the sense that $N\geq1$ indices are identified per iteration. In this paper, we show that if the restricted isometry…

Information Theory · Computer Science 2016-12-20 Jinming Wen , Zhengchun Zhou , Dongfang Li , Xiaohu Tang

We study distributed schemes for high-dimensional sparse linear regression, based on orthogonal matching pursuit (OMP). Such schemes are particularly suited for settings where a central fusion center is connected to end machines, that have…

Machine Learning · Statistics 2023-11-01 Chen Amiraz , Robert Krauthgamer , Boaz Nadler

This paper considers the exact recovery of $k$-sparse signals in the noiseless setting and support recovery in the noisy case when some prior information on the support of the signals is available. This prior support consists of two parts.…

Information Theory · Computer Science 2017-06-30 Huanmin Ge , Wengu Chen

This paper seeks to bridge the two major algorithmic approaches to sparse signal recovery from an incomplete set of linear measurements -- L_1-minimization methods and iterative methods (Matching Pursuits). We find a simple regularized…

Numerical Analysis · Mathematics 2008-03-15 Deanna Needell , Roman Vershynin

Direction of Arrival (DOA) estimation of mixed uncorrelated and coherent sources is a long existing challenge in array signal processing. Application of compressive sensing to array signal processing has opened up an exciting class of…

Signal Processing · Electrical Eng. & Systems 2018-09-10 Abhishek Aich , P. Palanisamy

In this paper, we propose an algorithm referred to as multipath matching pursuit that investigates multiple promising candidates to recover sparse signals from compressed measurements. Our method is inspired by the fact that the problem to…

Information Theory · Computer Science 2014-03-11 Suhyuk , Kwon , Jian Wang , Byonghyo Shim

Channel estimation and extrapolation are fundamental issues in MIMO communication systems. In this paper, we proposed the quasi-Newton orthogonal matching pursuit (QNOMP) approach to overcome these issues with high efficiency while…

Signal Processing · Electrical Eng. & Systems 2024-11-12 Yi Zeng , Mingguang Han , Xiaoguang Li , Tiejun Li

The simultaneous orthogonal matching pursuit (SOMP) algorithm aims to find the joint support of a set of sparse signals acquired under a multiple measurement vector model. Critically, the analysis of SOMP depends on the maximal inner…

Information Theory · Computer Science 2016-10-14 Jean-François Determe , Jérôme Louveaux , Laurent Jacques , François Horlin

Sampling rate is the bottleneck for spectrum sensing over multi-GHz bandwidth. Recent progress in compressed sensing (CS) initialized several sub-Nyquist rate approaches to overcome the problem. However, efforts to design CS reconstruction…

Information Theory · Computer Science 2011-02-15 Peng Zhang , Robert Qiu

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

Orthogonal matching pursuit (OMP) and orthogonal least squares (OLS) are widely used for sparse signal reconstruction in under-determined linear regression problems. The performance of these compressed sensing (CS) algorithms depends…

Machine Learning · Statistics 2017-07-28 Sreejith Kallummil , Sheetal Kalyani

There have been many matching pursuit algorithms (MPAs) which handle the sparse signal recovery problem a.k.a. compressed sensing (CS). In the MPAs, the correlation computation step has a dominant computational complexity. In this letter,…

Information Theory · Computer Science 2012-05-21 Kee-Hoon Kim , Hosung Park , Seokbeom Hong , Jong-Seon No , Habong Chung

This paper proposes two novel schemes of wideband compressive spectrum sensing (CSS) via block orthogonal matching pursuit (BOMP) algorithm, for achieving high sensing accuracy in real time. These schemes aim to reliably recover the…

Signal Processing · Electrical Eng. & Systems 2023-04-14 Liyang Lu , Wenbo Xu , Yue Wang , Zhi Tian

We propose a class of greedy algorithms for weighted sparse recovery by considering new loss function-based generalizations of Orthogonal Matching Pursuit (OMP). Given a (regularized) loss function, the proposed algorithms alternate the…

Information Theory · Computer Science 2025-02-18 Sina Mohammad-Taheri , Simone Brugiapaglia

Greed is good. However, the tighter you squeeze, the less you have. In this paper, a less greedy algorithm for sparse signal reconstruction in compressive sensing, named orthogonal matching pursuit with thresholding is studied. Using the…

Information Theory · Computer Science 2015-07-03 Mingrui Yang , Frank de Hoog

Support recovery of sparse signals from noisy measurements with orthogonal matching pursuit (OMP) has been extensively studied. In this paper, we show that for any $K$-sparse signal $\x$, if a sensing matrix $\A$ satisfies the restricted…

Information Theory · Computer Science 2017-12-27 Jinming Wen , Zhengchun Zhou , Jian Wang , Xiaohu Tang , Qun Mo

Orthogonal Matching Pursuit (OMP) plays an important role in data science and its applications such as sparse subspace clustering and image processing. However, the existing OMP-based approaches lack of data adaptiveness so that the data…

Machine Learning · Computer Science 2019-09-02 Jiaqiyu Zhan , Zhiqiang Bai , Yuesheng Zhu

This paper proposes and analyzes a mmWave sparse channel estimation technique for OFDM systems that uses the Orthogonal Matching Pursuit (OMP) algorithm. This greedy algorithm retrieves one additional multipath component (MPC) per iteration…

Information Theory · Computer Science 2018-12-19 Felipe Gomez-Cuba , Andrea J. Goldsmith

In this paper, we consider the sparse phase retrieval problem, recovering an $s$-sparse signal $\bm{x}^{\natural}\in\mathbb{R}^n$ from $m$ phaseless samples $y_i=|\langle\bm{x}^{\natural},\bm{a}_i\rangle|$ for $i=1,\ldots,m$. Existing…

Numerical Analysis · Mathematics 2021-10-15 Jian-Feng Cai , Jingzhi Li , Xiliang Lu , Juntao You