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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…

机器学习 · 统计学 2017-03-16 Sreejith Kallummil , Sheetal Kalyani

Support recovery of sparse signals from compressed linear measurements is a fundamental problem in compressed sensing (CS). In this paper, we study the orthogonal matching pursuit (OMP) algorithm for the recovery of support under noise. We…

信息论 · 计算机科学 2015-10-28 Jian Wang

Sparse subspace clustering (SSC) using greedy-based neighbor selection, such as orthogonal matching pursuit (OMP), has been known as a popular computationally-efficient alternative to the popular L1-minimization based methods. This paper…

机器学习 · 计算机科学 2022-04-07 Jwo-Yuh Wu , Liang-Chi Huang , Wen-Hsuan Li , Chun-Hung Liu , Rung-Hung Gau

We study sparse approximation by greedy algorithms. Our contribution is two-fold. First, we prove exact recovery with high probability of random $K$-sparse signals within $\lceil K(1+\e)\rceil$ iterations of the Orthogonal Matching Pursuit…

数值分析 · 数学 2013-04-03 Eugene Livshitz , Vladimir Temlyakov

As a greedy algorithm to recover sparse signals from compressed measurements, orthogonal matching pursuit (OMP) algorithm has received much attention in recent years. In this paper, we introduce an extension of the OMP for pursuing…

信息论 · 计算机科学 2014-04-01 Jian Wang , Seokbeop Kwon , Byonghyo Shim

Many models for sparse regression typically assume that the covariates are known completely, and without noise. Particularly in high-dimensional applications, this is often not the case. This paper develops efficient OMP-like algorithms to…

统计理论 · 数学 2015-03-31 Yudong Chen , Constantine Caramanis

A reliable support detection is essential for a greedy algorithm to reconstruct a sparse signal accurately from compressed and noisy measurements. This paper proposes a novel support detection method for greedy algorithms, which is referred…

信息论 · 计算机科学 2016-08-24 Namyoon Lee

Cost-efficient compressive sensing is challenging when facing large-scale data, {\em i.e.}, data with large sizes. Conventional compressive sensing methods for large-scale data will suffer from low computational efficiency and massive…

数据结构与算法 · 计算机科学 2016-03-18 Sung-Hsien Hsieh , Chun-Shien Lu , Soo-Chang Pei

Orthogonal Matching Pursuit (OMP) has been a powerful method in sparse signal recovery and approximation. However, OMP suffers computational issues when the signal has a large number of non-zeros. This paper advances OMP and its extension…

计算机视觉与模式识别 · 计算机科学 2025-04-28 Huiyuan Yu , Jia He , Maggie Cheng

Compressed sensing is a developing field aiming at reconstruction of sparse signals acquired in reduced dimensions, which make the recovery process under-determined. The required solution is the one with minimum $\ell_0$ norm due to…

信息论 · 计算机科学 2012-09-06 Nazim Burak Karahanoglu , Hakan Erdogan

Orthogonal Matching Pursuit (OMP) is the canonical greedy algorithm for sparse approximation. In this paper we demonstrate that the restricted isometry property (RIP) can be used for a very straightforward analysis of OMP. Our main…

数值分析 · 数学 2009-09-02 Mark A. Davenport , Michael B. Wakin

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…

机器学习 · 统计学 2023-11-01 Chen Amiraz , Robert Krauthgamer , Boaz Nadler

Recently, many practical algorithms have been proposed to recover the sparse signal from fewer measurements. Orthogonal matching pursuit (OMP) is one of the most effective algorithm. In this paper, we use the restricted isometry property to…

泛函分析 · 数学 2011-06-01 Yi Shen , Song 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,…

信息论 · 计算机科学 2019-05-08 Jianchen Zhu , Shengjie Zhao , Qingjiang Shi , Gonzalo R. Arce

We study the problem of recovering the sparsity pattern of block-sparse signals from noise-corrupted measurements. A simple, efficient recovery method, namely, a block-version of the orthogonal matching pursuit (OMP) method, is considered…

信息论 · 计算机科学 2011-09-27 Jun Fang , Hongbin Li

We show the potential of greedy recovery strategies for the sparse approximation of multivariate functions from a small dataset of pointwise evaluations by considering an extension of the orthogonal matching pursuit to the setting of…

数值分析 · 数学 2019-05-06 Ben Adcock , Simone Brugiapaglia

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…

信息论 · 计算机科学 2013-12-13 Wenhui Liu , Da Gong , Zhiqiang Xu

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…

统计理论 · 数学 2020-08-07 Chen Amiraz , Robert Krauthgamer , Boaz Nadler

The orthogonal matching pursuit (OMP) is one of the mainstream algorithms for sparse data reconstruction or approximation. It acts as a driving force for the development of several other greedy methods for sparse data reconstruction, and it…

信息论 · 计算机科学 2023-03-31 Yun-Bin Zhao , Zhi-Quan Luo

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…

数值分析 · 数学 2009-05-28 Deanna Needell