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We discuss a method for sparse signal approximation, which is based on the correlation of the target signal with a pseudo-random signal, and uses a modification of the greedy matching pursuit algorithm. We show that this approach provides…

Data Analysis, Statistics and Probability · Physics 2011-05-26 M. Andrecut

Compressed sensing is a new data acquisition paradigm enabling universal, simple, and reduced-cost acquisition, by exploiting a sparse signal model. Most notably, recovery of the signal by computationally efficient algorithms is guaranteed…

Information Theory · Computer Science 2012-07-12 Kiryung Lee , Yoram Bresler , Marius Junge

The goal of clustering is to group similar objects into meaningful partitions. This process is well understood when an explicit similarity measure between the objects is given. However, far less is known when this information is not readily…

Machine Learning · Computer Science 2020-10-12 Michaël Perrot , Pascal Mattia Esser , Debarghya Ghoshdastidar

Recovering the support of sparse vectors in underdetermined linear regression models, \textit{aka}, compressive sensing is important in many signal processing applications. High SNR consistency (HSC), i.e., the ability of a support recovery…

Signal Processing · Electrical Eng. & Systems 2018-11-20 Sreejith Kallummil , Sheetal Kalyani

Integrated Sensing and Communication (ISAC) is a technology paradigm that combines sensing capabilities with communication functionalities in a single device or system. In vehicle-to-everything (V2X) sidelink, ISAC can provide enhanced…

Signal Processing · Electrical Eng. & Systems 2024-11-06 Syed Najaf Haider Shah , Sebastian Semper , Aamir Ullah Khan , Christian Schneider , Joerg Robert

Cluster analysis relates to the task of assigning objects into groups which ideally present some desirable characteristics. When a cluster structure is confined to a subset of the feature space, traditional clustering techniques face…

Machine Learning · Statistics 2026-04-14 Efthymios Costa , Ioanna Papatsouma , Angelos Markos

Recently, many new challenges in Compressed Sensing (CS), such as block sparsity, arose. In this paper, we present a new algorithm for solving CS with block sparse constraints (BSC) in complex fields. Firstly, based on block sparsity…

Information Theory · Computer Science 2022-09-20 Hui Zhang , Xin Liu , Naihua Xiu

In this paper, we consider the problem of sparse signal detection based on partial support set estimation with compressive measurements in a distributed network. Multiple nodes in the network are assumed to observe sparse signals which…

Applications · Statistics 2016-08-10 Thakshila Wimalajeewa , Pramod K. Varshney

This paper studies the large-scale subspace clustering (LSSC) problem with million data points. Many popular subspace clustering methods cannot directly handle the LSSC problem although they have been considered as state-of-the-art methods…

Machine Learning · Computer Science 2020-04-10 Jun Li , Hongfu Liu , Zhiqiang Tao , Handong Zhao , Yun Fu

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 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

Subspace clustering refers to the problem of segmenting high dimensional data drawn from a union of subspaces into the respective subspaces. In some applications, partial side-information to indicate "must-link" or "cannot-link" in…

Computer Vision and Pattern Recognition · Computer Science 2018-05-23 Chun-Guang Li , Junjian Zhang , Jun Guo

Spectral clustering is one of the fundamental unsupervised learning methods widely used in data analysis. Sparse spectral clustering (SSC) imposes sparsity to the spectral clustering and it improves the interpretability of the model. This…

Machine Learning · Statistics 2020-11-03 Zhongruo Wang , Bingyuan Liu , Shixiang Chen , Shiqian Ma , Lingzhou Xue , Hongyu Zhao

In this paper, we develop a method for unsupervised clustering of two-way (matrix) data by combining two recent innovations from different fields: the Sparse Subspace Clustering (SSC) algorithm [10], which groups points coming from a union…

Machine Learning · Computer Science 2015-02-24 Eric Kernfeld , Shuchin Aeron , Misha Kilmer

This paper presents a new analysis for the orthogonal matching pursuit (OMP) algorithm. It is shown that if the restricted isometry property (RIP) is satisfied at sparsity level $O(\bar{k})$, then OMP can recover a $\bar{k}$-sparse signal…

Information Theory · Computer Science 2011-06-06 Tong Zhang

Constrained clustering leverages limited domain knowledge to improve clustering performance and interpretability, but incorporating pairwise must-link and cannot-link constraints is an NP-hard challenge, making global optimization…

Machine Learning · Computer Science 2025-10-28 Pedro Chumpitaz-Flores , My Duong , Cristobal Heredia , Kaixun Hua

Subspace clustering aims to group data points that lie in a union of low-dimensional subspaces and finds wide application in computer vision, hyperspectral imaging, and recommendation systems. However, most existing methods assume fully…

Computer Vision and Pattern Recognition · Computer Science 2026-02-03 Huanran Li , Daniel Pimentel-Alarcón

In order to enhance the performance of image recognition, a sparsity augmented probabilistic collaborative representation based classification (SA-ProCRC) method is presented. The proposed method obtains the dense coefficient through…

Computer Vision and Pattern Recognition · Computer Science 2019-12-30 Xiao-Yun Cai , He-Feng Yin

In this paper, we present coherence-based performance guarantees of Orthogonal Matching Pursuit (OMP) for both support recovery and signal reconstruction of sparse signals when the measurements are corrupted by noise. In particular, two…

Statistics Theory · Mathematics 2012-09-28 Yuejie Chi , Robert Calderbank

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