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In this paper we present deterministic conditions for success of sparse subspace clustering (SSC) under missing data, when data is assumed to come from a Union of Subspaces (UoS) model. We consider two algorithms, which are variants of SSC…

Information Theory · Computer Science 2016-07-13 Wenqi Wang , Shuchin Aeron , Vaneet Aggarwal

Low-rank sparse subspace clustering (LRSSC) algorithms built on self-expressive model effectively capture both the global and local structure of the data. However, existing solutions, primarily based on proximal operators associated with…

Machine Learning · Computer Science 2025-02-17 Ivica Kopriva

A greedy pursuit strategy which finds a common basis for approximating a set of similar signals is proposed. The strategy extends the Optimized Orthogonal Matching Pursuit approach to selecting the subspace containing the approximation of…

Signal Processing · Electrical Eng. & Systems 2025-03-24 Laura Rebollo-Neira

We consider the problem of recovering off-the-grid spikes from linear measurements. The state of the art Over-Parametrized Continuous Orthogonal Matching Pursuit (OP-COMP) with Projected Gradient Descent (PGD) successfully recovers those…

Numerical Analysis · Mathematics 2024-02-20 Pierre-Jean Bénard , Yann Traonmilin , Jean François Aujol

Exploring robust and efficient association methods has always been an important issue in multiple-object tracking (MOT). Although existing tracking methods have achieved impressive performance, congestion and frequent occlusions still pose…

Computer Vision and Pattern Recognition · Computer Science 2023-11-21 Zelin Liu , Xinggang Wang , Cheng Wang , Wenyu Liu , Xiang Bai

The orthogonal matching pursuit (OMP) is an algorithm to solve sparse approximation problems. Sufficient conditions for exact recovery are known with and without noise. In this paper we investigate the applicability of the OMP for the…

Numerical Analysis · Mathematics 2010-10-26 Loic Denis , Dirk A. Lorenz , Dennis Trede

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

Overlapping Community Search (OCS) identifies nodes that interact with multiple communities based on a specified query. Existing community search approaches fall into two categories: algorithm-based models and Machine Learning-based (ML)…

Social and Information Networks · Computer Science 2025-01-10 Qing Sima , Jianke Yu , Xiaoyang Wang , Wenjie Zhang , Ying Zhang , Xuemin Lin

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

With the increasing popularity of large-scale antenna arrays, the subarraying technology becomes more attractive. In this paper, we propose two effective subarraying methods right after formulating the subarray synthesis as a compressive…

Signal Processing · Electrical Eng. & Systems 2022-01-03 Songjie Yang , Wanting Lyu , Zhongpei Zhang

In this paper, by exploiting the special features of temporal correlations of dynamic sparse channels that path delays change slowly over time but path gains evolve faster, we propose the structured matching pursuit (SMP) algorithm to…

Information Theory · Computer Science 2015-07-21 Xudong Zhu , Linglong Dai , Guan Gui , Wei Dai , Zhaocheng Wang , Fumiyuki Adachi

The simultaneous orthogonal matching pursuit (SOMP) algorithm aims to find the joint support of a set of sparse signals acquired under a multiple measurement vector model. Critically, the analysis of SOMP depends on the maximal inner…

Information Theory · Computer Science 2016-10-14 Jean-François Determe , Jérôme Louveaux , Laurent Jacques , François Horlin

Subspace clustering is a growing field of unsupervised learning that has gained much popularity in the computer vision community. Applications can be found in areas such as motion segmentation and face clustering. It assumes that data…

Machine Learning · Statistics 2019-11-12 Hankui Peng , Nicos G. Pavlidis

In this paper we present a new coherence-based performance guarantee for the Orthogonal Matching Pursuit (OMP) algorithm. A lower bound for the probability of correctly identifying the support of a sparse signal with additive white Gaussian…

Information Theory · Computer Science 2017-09-28 Ehsan Miandji , Mohammad Emadi , Jonas Unger , Ehsan Afshari

In this paper we present a new coherence-based performance guarantee for the Orthogonal Matching Pursuit (OMP) algorithm. An upper bound for the probability of correctly identifying the support of a sparse signal with additive white…

Information Theory · Computer Science 2016-10-25 Mohammad Emadi , Ehsan Miandji , Jonas Unger , Ehsan Afshari

Sparse subspace clustering (SSC) relies on sparse regression for accurate neighbor identification. Inspired by recent progress in compressive sensing, this paper proposes a new sparse regression scheme for SSC via two-step reweighted…

Information Theory · Computer Science 2019-07-18 Jwo-Yuh Wu , Liang-Chi Huang , Ming-Hsun Yang , Chun-Hung Liu

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

Recovery algorithms play a key role in compressive sampling (CS). Most of current CS recovery algorithms are originally designed for one-dimensional (1D) signal, while many practical signals are two-dimensional (2D). By utilizing 2D…

Information Theory · Computer Science 2011-04-27 Yong Fang , Bormin Huang , Jiaji Wu

We propose an efficient approach to semidefinite spectral clustering (SSC), which addresses the Frobenius normalization with the positive semidefinite (p.s.d.) constraint for spectral clustering. Compared with the original Frobenius norm…

Machine Learning · Computer Science 2014-02-25 Yan Yan , Chunhua Shen , Hanzi Wang
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