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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…

Computer Vision and Pattern Recognition · Computer Science 2025-04-28 Huiyuan Yu , Jia He , Maggie Cheng

Orthogonal matching pursuit (OMP) is a widely used algorithm for recovering sparse high dimensional vectors in linear regression models. The optimal performance of OMP requires \textit{a priori} knowledge of either the sparsity of…

Machine Learning · Statistics 2018-06-05 Sreejith Kallummil , Sheetal Kalyani

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

A novel sparse array synthesis method for non-uniform planar arrays is proposed, which belongs to compressive sensing (CS)-based systhesis. Particularly, we propose an off-grid refinement technique to simultaneously optimize the antenna…

Signal Processing · Electrical Eng. & Systems 2022-07-29 Songjie Yang , Baojuan Liu , Zhiqin Hong , Zhongpei Zhang

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…

Statistics Theory · Mathematics 2015-03-31 Yudong Chen , Constantine Caramanis

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…

Information Theory · Computer Science 2023-03-31 Yun-Bin Zhao , Zhi-Quan Luo

Greedy approaches in general, and orthogonal matching pursuit in particular, are the most commonly used sparse recovery techniques in a wide range of applications. The complexity of these approaches is highly dependent on the size of the…

Signal Processing · Electrical Eng. & Systems 2022-08-25 Joan Palacios , Nuria González-Prelcic , Cristian Rusu

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…

Information Theory · Computer Science 2014-04-01 Jian Wang , Seokbeop Kwon , Byonghyo Shim

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…

Information Theory · Computer Science 2015-10-28 Jian Wang

In this paper, we present new results on using orthogonal matching pursuit (OMP), to solve the sparse approximation problem over redundant dictionaries for complex cases (i.e., complex measurement vector, complex dictionary and complex…

Information Theory · Computer Science 2012-06-12 Rong Fan , Qun Wan , Yipeng Liu , Hui Chen , Xiao Zhang

High-resolution radar range profile (RRP) is crucial for accurate target recognition and scene perception. To get a high-resolution RRP, many methods have been developed, such as multiple signal classification (MUSIC), orthogonal matching…

Signal Processing · Electrical Eng. & Systems 2025-10-21 Ziwen Wang , Jianping Wang , Pucheng Li , Zegang Ding

Direction of Arrival (DOA) estimation of multiple narrow-band coherent or partially coherent sources is a major challenge in array signal processing. Though many subspace- based algorithms are available in literature, none of them tackle…

Information Theory · Computer Science 2018-01-26 Abhishek Aich , P. Palanisamy

This paper is concerned with the performance of Orthogonal Matching Pursuit (OMP) algorithms applied to a dictionary $\mathcal{D}$ in a Hilbert space $\mathcal{H}$. Given an element $f\in \mathcal{H}$, OMP generates a sequence of…

Numerical Analysis · Mathematics 2015-06-17 Albert Cohen , Wolfgang Dahmen , Ronald DeVore

This paper proposes a compressed sensing-based high-resolution direction-of-arrival estimation method called gradient orthogonal matching pursuit (GOMP). It contains two main steps: a sparse coding approximation step using the well-known…

Signal Processing · Electrical Eng. & Systems 2021-10-08 Khaled Ardah , Martin Haardt

The problem of sparse approximation and the closely related compressed sensing have received tremendous attention in the past decade. Primarily studied from the viewpoint of applied harmonic analysis and signal processing, there have been…

Information Theory · Computer Science 2018-10-23 Ali Çivril

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

Orthogonal matching pursuit (OMP) is a greedy algorithm popularly being used for the recovery of sparse signals. In this paper, we study the performance of OMP for support recovery of sparse signal under noise. Our analysis shows that under…

Information Theory · Computer Science 2020-12-14 Hengkuan Lu , Jian Wang

The orthogonal matching pursuit (OMP) algorithm is a commonly used algorithm for recovering $K$-sparse signals $\x\in \mathbb{R}^{n}$ from linear model $\y=\A\x$, where $\A\in \mathbb{R}^{m\times n}$ is a sensing matrix. A fundamental…

Information Theory · Computer Science 2019-04-23 Jinming Wen , Wei Yu

In text classification, the problem of overfitting arises due to the high dimensionality, making regularization essential. Although classic regularizers provide sparsity, they fail to return highly accurate models. On the contrary,…

Machine Learning · Computer Science 2018-10-10 Konstantinos Skianis , Nikolaos Tziortziotis , Michalis Vazirgiannis

Conventional correlation-based frame synchronization techniques can suffer significant performance degradation over multi-path frequency-selective channels. As a remedy, in this paper we consider joint frame synchronization and channel…

Information Theory · Computer Science 2017-09-06 Ozgur Ozdemir , Ridha Hamila , Naofal Al-Dhahir , Ismail Guvenc
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