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Recent research has shown that performance in signal processing tasks can often be significantly improved by using signal models based on sparse representations, where a signal is approximated using a small number of elements from a fixed…

Optimization and Control · Mathematics 2011-11-18 Adam S. Charles , Pierre Garrigues , Christopher J. Rozell

We consider the Orthogonal Least-Squares (OLS) algorithm for the recovery of a $m$-dimensional $k$-sparse signal from a low number of noisy linear measurements. The Exact Recovery Condition (ERC) in bounded noisy scenario is established for…

Machine Learning · Statistics 2016-08-09 Abolfazl Hashemi , Haris Vikalo

We consider the joint estimation of multipath channels obtained with a set of receiving antennas and uniformly probed in the frequency domain. This scenario fits most of the modern outdoor communication protocols for mobile access or…

Systems and Control · Computer Science 2012-04-23 Y. Barbotin , M. Vetterli

Channel estimation problem is one of the key technical issues in time-variant multiple-input single-output (MSIO) communication systems. To estimate the MISO channel, least mean square (LMS) algorithm is applied to adaptive channel…

Information Theory · Computer Science 2013-02-07 Guan Gui , Wei Peng , Abolfazl Mehbodniya , Fumiyuki Adachi

We propose a new algorithm for the problem of recovering data that adheres to multiple, heterogeneous low-dimensional structures from linear observations. Focusing on data matrices that are simultaneously row-sparse and low-rank, we propose…

Machine Learning · Computer Science 2024-01-19 Christian Kümmerle , Johannes Maly

In this paper, a novel diffusion estimation algorithm is proposed from a probabilistic perspective by combining diffusion strategy and the probabilistic least-mean-squares (PLMS) at all agents. The proposed method diffusion probabilistic…

Signal Processing · Electrical Eng. & Systems 2019-08-27 Sihai Guan , Chun Meng , Bharat Biswal

Reducing the memory footprint of neural networks is a crucial prerequisite for deploying them in small and low-cost embedded devices. Network parameters can often be reduced significantly through pruning. We discuss how to best represent…

Data Structures and Algorithms · Computer Science 2021-11-25 Elias Trommer , Bernd Waschneck , Akash Kumar

We introduce the sparse direct sampling method (DSM) to estimate properties of a region from signals that probe the region. We demonstrate the sparse-DSM on two separate problems: estimating both the angle-of-arrival of a radio wave…

Analysis of PDEs · Mathematics 2020-10-19 Isaac Harris , Jacob D Rezac

Many signal processing applications such as acoustic echo cancellation and wireless channel estimation require identifying systems where only a small fraction of coefficients are actually active, i.e. sparse systems. Zero-attracting…

Signal Processing · Electrical Eng. & Systems 2026-03-17 Mohammad Salman , Hadi Zayyani , Felipe A. P. de Figueiredo , Hasan Abu Hilal , Mostafa Rashdan

Compressive sensing (CS) exploits sparsity to recover sparse or compressible signals from dimensionality reducing, non-adaptive sensing mechanisms. Sparsity is also used to enhance interpretability in machine learning and statistics…

Information Theory · Computer Science 2015-07-21 Anastasios Kyrillidis , Luca Baldassarre , Marwa El-Halabi , Quoc Tran-Dinh , Volkan Cevher

Sparse training has received an upsurging interest in machine learning due to its tantalizing saving potential for the entire training process as well as inference. Dynamic sparse training (DST), as a leading sparse training approach, can…

Machine Learning · Computer Science 2023-11-13 Lu Yin , Gen Li , Meng Fang , Li Shen , Tianjin Huang , Zhangyang Wang , Vlado Menkovski , Xiaolong Ma , Mykola Pechenizkiy , Shiwei Liu

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

Compressive sensing (CS) is a new methodology to capture signals at lower rate than the Nyquist sampling rate when the signals are sparse or sparse in some domain. The performance of CS estimators is analyzed in this paper using tools from…

Information Theory · Computer Science 2014-09-09 Solomon A. Tesfamicael , Bruhtesfa E. Godana , Faraz Barzideh

Orthogonal matching pursuit (OMP) and orthogonal least squares (OLS) are widely used for sparse signal reconstruction in under-determined linear regression problems. The performance of these compressed sensing (CS) algorithms depends…

Machine Learning · Statistics 2017-07-28 Sreejith Kallummil , Sheetal Kalyani

In this paper, a novel framework is proposed to optimize the downlink multi-user communication of a millimeter wave base station, which is assisted by a reconfigurable intelligent reflector (IR). In particular, a channel estimation approach…

Information Theory · Computer Science 2021-08-03 Qianqian Zhang , Walid Saad , Mehdi Bennis

Sparse signal reconstruction algorithms have attracted research attention due to their wide applications in various fields. In this paper, we present a simple Bayesian approach that utilizes the sparsity constraint and a priori statistical…

Statistics Theory · Mathematics 2015-06-05 Ahmed A. Quadeer , Tareq Y. Al-Naffouri

We propose a method to reconstruct and cluster incomplete high-dimensional data lying in a union of low-dimensional subspaces. Exploring the sparse representation model, we jointly estimate the missing data while imposing the intrinsic…

Computer Vision and Pattern Recognition · Computer Science 2017-09-06 João Carvalho , Manuel Marques , João P. Costeira

Quadrature compressive sampling (QuadCS) is a sub-Nyquist sampling scheme for acquiring in-phase and quadrature (I/Q) components in radar. In this scheme, the received intermediate frequency (IF) signals are expressed as a linear…

Information Theory · Computer Science 2015-03-03 Feng Xi , Shengyao Chen , Yimin D. Zhang , Zhong Liu

Continual learning (CL) refers to the ability of an intelligent system to sequentially acquire and retain knowledge from a stream of data with as little computational overhead as possible. To this end; regularization, replay, architecture,…

Problems in signal processing and medical imaging often lead to calculating sparse solutions to under-determined linear systems. Methodologies for solving this problem are presented as background to the method used in this work where the…

Numerical Analysis · Computer Science 2009-07-21 R. Broughton , I. Coope , P. Renaud , R. Tappenden