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Several exact recovery criteria (ERC) ensuring that orthogonal matching pursuit (OMP) identifies the correct support of sparse signals have been developed in the last few years. These ERC rely on the restricted isometry property (RIP), the…

Information Theory · Computer Science 2015-12-16 Jean-François Determe , Jérôme Louveaux , Laurent Jacques , François Horlin

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…

Data Structures and Algorithms · Computer Science 2016-03-18 Sung-Hsien Hsieh , Chun-Shien Lu , Soo-Chang Pei

Sparse representation-based classification (SRC) has attracted much attention by casting the recognition problem as simple linear regression problem. SRC methods, however, still is limited to enough labeled samples per category,…

Computer Vision and Pattern Recognition · Computer Science 2021-11-05 Xiaohui Yang , Zheng Wang , Huan Wu , Licheng Jiao , Yiming Xu , Haolin Chen

To better select the correct training sample and obtain the robust representation of the query sample, this paper proposes a discriminant-based sparse optimization learning model. This learning model integrates discriminant and sparsity…

Computer Vision and Pattern Recognition · Computer Science 2017-12-06 Qingxiang Feng , Yicong Zhou

Orthogonal least squares (OLS) is a classic algorithm for sparse recovery, function approximation, and subset selection. In this paper, we analyze the performance guarantee of the OLS algorithm. Specifically, we show that OLS guarantees the…

Information Theory · Computer Science 2020-08-24 Junhan Kim , Jian Wang , Byonghyo Shim

Accurate parameter estimation such as angle of arrival (AOA) is essential to enhance the performance of integrated sensing and communication (ISAC) in mmWave multiple-input multiple-output (MIMO) systems. This work presents a sensing-aided…

Information Theory · Computer Science 2025-03-05 Ngoc-Son Duong , Khac-Hoang Ngo , Thai-Mai Dinh , Van-Linh Nguyen

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

Sparse-representation-based classification (SRC) has been widely studied and developed for various practical signal classification applications. However, the performance of a SRC-based method is degraded when both the training and test data…

Computer Vision and Pattern Recognition · Computer Science 2019-11-26 He-Feng Yin , Xiao-Jun Wu , Josef Kittler , Zhen-Hua Feng

We address the problem of sparse recovery in an online setting, where random linear measurements of a sparse signal are revealed sequentially and the objective is to recover the underlying signal. We propose a reweighted least squares (RLS)…

Machine Learning · Computer Science 2017-06-30 Subhadip Mukherjee , Deepak R. , Huaijin Chen , Ashok Veeraraghavan , Chandra Sekhar Seelamantula

The recovery of sparse data is at the core of many applications in machine learning and signal processing. While such problems can be tackled using $\ell_1$-regularization as in the LASSO estimator and in the Basis Pursuit approach,…

Optimization and Control · Mathematics 2021-11-15 Christian Kümmerle , Claudio Mayrink Verdun , Dominik Stöger

It has been found that radar returns of extended targets are not only sparse but also exhibit a tendency to cluster into randomly located, variable sized groups. However, the standard techniques of Compressive Sensing as applied in radar…

Information Theory · Computer Science 2014-11-17 Sanghamitra Dutta , Arijit De

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

Sparse representation has attracted much attention from researchers in fields of signal processing, image processing, computer vision and pattern recognition. Sparse representation also has a good reputation in both theoretical research and…

Computer Vision and Pattern Recognition · Computer Science 2016-02-24 Zheng Zhang , Yong Xu , Jian Yang , Xuelong Li , David Zhang

In order to improve the performance of Least Mean Square (LMS) based system identification of sparse systems, a new adaptive algorithm is proposed which utilizes the sparsity property of such systems. A general approximating approach on…

Information Theory · Computer Science 2015-06-15 Yuantao Gu , Jian Jin , Shunliang Mei

We propose extended coherence-based conditions for exact sparse support recovery using orthogonal matching pursuit (OMP) and orthogonal least squares (OLS). Unlike standard uniform guarantees, we embed some information about the decay of…

Information Theory · Computer Science 2015-10-09 Cédric Herzet , Angélique Drémeau , Charles Soussen

The sparse representation classifier (SRC) is shown to work well for image recognition problems that satisfy a subspace assumption. In this paper we propose a new implementation of SRC via screening, establish its equivalence to the…

Machine Learning · Computer Science 2019-06-05 Cencheng Shen , Li Chen , Yuexiao Dong , Carey Priebe

Orthogonal least squares (OLS)-type algorithms are efficient in reconstructing sparse signals, which include the well-known OLS, multiple OLS (MOLS) and block OLS (BOLS). In this paper, we first investigate the noiseless exact recovery…

Signal Processing · Electrical Eng. & Systems 2022-10-13 L. Lu , W. Xu , Y. Wang , Z. Tian

The $\ell_1$ tracker obtains robustness by seeking a sparse representation of the tracking object via $\ell_1$ norm minimization \cite{Xue_ICCV_09_Track}. However, the high computational complexity involved in the $ \ell_1 $ tracker…

Computer Vision and Pattern Recognition · Computer Science 2010-12-14 Hanxi Li , Chunhua Shen , Qinfeng Shi

We propose an online tensor subspace tracking algorithm based on the CP decomposition exploiting the recursive least squares (RLS), dubbed OnLine Low-rank Subspace tracking by TEnsor CP Decomposition (OLSTEC). Numerical evaluations show…

Numerical Analysis · Computer Science 2016-08-23 Hiroyuki Kasai

Sparse Representation (SR) techniques encode the test samples into a sparse linear combination of all training samples and then classify the test samples into the class with the minimum residual. The classification of SR techniques depends…

Computer Vision and Pattern Recognition · Computer Science 2019-07-01 Chun-Mei Feng , Yong Xu , Zuoyong Li , Jian Yang
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