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Sparse subspace clustering (SSC) using greedy-based neighbor selection, such as matching pursuit (MP) and orthogonal matching pursuit (OMP), has been known as a popular computationally-efficient alternative to the conventional…

Machine Learning · Statistics 2020-02-04 Jwo-Yuh Wu , Wen-Hsuan Li , Liang-Chi Huang , Yen-Ping Lin , Chun-Hung Liu , Rung-Hung Gau

Greedy Pursuits are very popular in Compressed Sensing for sparse signal recovery. Though many of the Greedy Pursuits possess elegant theoretical guarantees for performance, it is well known that their performance depends on the statistical…

Applications · Statistics 2012-06-20 Sooraj K. Ambat , Saikat Chatterjee , K. V. S. Hari

Applying the theory of compressive sensing in practice always takes different kinds of perturbations into consideration. In this paper, the recovery performance of greedy pursuits with replacement for sparse recovery is analyzed when both…

Information Theory · Computer Science 2015-06-04 Laming Chen , Yuantao Gu

Orthogonal matching pursuit (OMP) is a canonical greedy algorithm for sparse signal reconstruction. When the signal of interest is block sparse, i.e., it has nonzero coefficients occurring in clusters, the block version of OMP algorithm…

Information Theory · Computer Science 2011-04-07 Jun Wang , Gang Li , Hao Zhang , Xiqin Wang

Cooperative Greedy Pursuit Strategies are considered for approximating a signal partition subjected to a global constraint on sparsity. The approach aims at producing a high quality sparse approximation of the whole signal, using highly…

Data Structures and Algorithms · Computer Science 2015-12-15 Laura Rebollo-Neira

We investigate the problem of reconstructing sparse multivariate trigonometric polynomials from few randomly taken samples by Basis Pursuit and greedy algorithms such as Orthogonal Matching Pursuit (OMP) and Thresholding. While recovery by…

Classical Analysis and ODEs · Mathematics 2007-05-23 Stefan Kunis , Holger Rauhut

This paper proposes a fusion-based cooperative support identification scheme for distributed compressive sparse signal recovery via resource-constrained wireless sensor networks. The proposed support identification protocol involves: (i)…

Information Theory · Computer Science 2019-07-09 Ming-Hsun Yang , Jwo-Yuh Wu , Tsang-Yi Wang , Robert G. Maunder , Rung-Hung Gau

Recently, greedy algorithm has received much attention as a cost-effective means to reconstruct the sparse signals from compressed measurements. Much of previous work has focused on the investigation of a single candidate to identify the…

Information Theory · Computer Science 2014-09-22 Jaeseok Lee , Suhyuk Kwon , Jun Won Choi , Byonghyo Shim

In this paper, we propose a new orthogonal matching pursuit algorithm called quasi-OMP algorithm which greatly enhances the performance of classical orthogonal matching pursuit (OMP) algorithm, at some cost of computational complexity. We…

Numerical Analysis · Mathematics 2020-07-21 Ming-Jun Lai , Zhaiming Shen

Intensively growing approach in signal processing and acquisition, the Compressive Sensing approach, allows sparse signals to be recovered from small number of randomly acquired signal coefficients. This paper analyses some of the commonly…

Signal Processing · Electrical Eng. & Systems 2018-02-21 Tamara Koljensic , Caslav Labudovic

Orthogonal Matching pursuit (OMP) is a popular algorithm to estimate an unknown sparse vector from multiple linear measurements of it. Assuming exact sparsity and that the measurements are corrupted by additive Gaussian noise, the success…

Statistics Theory · Mathematics 2020-08-07 Chen Amiraz , Robert Krauthgamer , Boaz Nadler

Motivated by the question of optimal functional approximation via compressed sensing, we propose generalizations of the Iterative Hard Thresholding and the Compressive Sampling Matching Pursuit algorithms able to promote sparse in levels…

Information Theory · Computer Science 2021-11-01 Ben Adcock , Simone Brugiapaglia , Matthew King-Roskamp

Greedy algorithm are in widespread use for sparse recovery because of its efficiency. But some evident flaws exists in most popular greedy algorithms, such as CoSaMP, which includes unreasonable demands on prior knowledge of target signal…

Information Theory · Computer Science 2009-08-18 Hao Zhang , Gang Li , Huadong Meng

In compressive sensing, a small collection of linear projections of a sparse signal contains enough information to permit signal recovery. Distributed compressive sensing (DCS) extends this framework by defining ensemble sparsity models,…

Information Theory · Computer Science 2013-03-29 Marco F. Duarte , Michael B. Wakin , Dror Baron , Shriram Sarvotham , Richard G. Baraniuk

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

In this paper, we discuss application of iterative Stochastic Optimization routines to the problem of sparse signal recovery from noisy observation. Using Stochastic Mirror Descent algorithm as a building block, we develop a multistage…

Machine Learning · Statistics 2022-03-31 Anatoli Juditsky , Andrei Kulunchakov , Hlib Tsyntseus

We propose a new iterative greedy algorithm for reconstructions of sparse signals with or without noisy perturbations in compressed sensing. The proposed algorithm, called \emph{subspace thresholding pursuit} (STP) in this paper, is a…

Information Theory · Computer Science 2014-05-22 Chao-Bing Song , Shu-Tao Xia , Xin-Ji Liu

In this paper, we propose a sparse recovery algorithm called detection-directed (DD) sparse estimation using Bayesian hypothesis test (BHT) and belief propagation (BP). In this framework, we consider the use of sparse-binary sensing…

Information Theory · Computer Science 2012-11-07 Jaewook Kang , Heung-No Lee , Kiseon Kim

This work explores the fundamental problem of the recoverability of a sparse tensor being reconstructed from its compressed embodiment. We present a generalized model of block-sparse tensor recovery as a theoretical foundation, where…

Signal Processing · Electrical Eng. & Systems 2024-12-19 Liyang Lu , Zhaocheng Wang , Zhen Gao , Sheng Chen , H. Vincent Poor

Orthogonal matching pursuit (OMP) is a widely used compressive sensing (CS) algorithm for recovering sparse signals in noisy linear regression models. The performance of OMP depends on its stopping criteria (SC). SC for OMP discussed in…

Machine Learning · Statistics 2017-03-16 Sreejith Kallummil , Sheetal Kalyani