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We propose two sparsity-aware normalized subband adaptive filter (NSAF) algorithms by using the gradient descent method to minimize a combination of the original NSAF cost function and the l1-norm penalty function on the filter…

信号处理 · 电气工程与系统科学 2018-10-18 Y. Yu , H. Zhao , R. C. de Lamare

Sparse learning has been widely studied to capture critical information from enormous data sources in the filed of system identification. Often, it is essential to understand internal working mechanisms of unknown systems (e.g. biological…

信号处理 · 电气工程与系统科学 2020-08-11 Junlin Li , Wei Zhou , Cheng Cheng

Compressive sensing (CS) technologies present many advantages over other existing approaches for implementing wideband spectrum sensing in cognitive radios (CRs), such as reduced sampling rate and computational complexity. However, there…

信息论 · 计算机科学 2016-07-15 Jing Jiang , Hongjian Sun , David Baglee , H. Vincent Poor

Compressed sensing is triggering a major evolution in signal acquisition. It consists in sampling a sparse signal at low rate and later using computational power for its exact reconstruction, so that only the necessary information is…

统计力学 · 物理学 2012-06-07 Florent Krzakala , Marc Mézard , François Sausset , Yifan Sun , Lenka Zdeborová

A new sparse signal recovery algorithm for multiple-measurement vectors (MMV) problem is proposed in this paper. The sparse representation is iteratively drawn based on the idea of zero-point attracting projection (ZAP). In each iteration,…

信息论 · 计算机科学 2015-03-20 Yang You , Laming Chen , Yuantao Gu , Wei Feng , Hui Dai

The choice of the sensing matrix is crucial in compressed sensing. Random Gaussian sensing matrices satisfy the restricted isometry property, which is crucial for solving the sparse recovery problem using convex optimization techniques.…

信号处理 · 电气工程与系统科学 2023-12-29 Kartheek Kumar Reddy Nareddy , Abijith Jagannath Kamath , Chandra Sekhar Seelamantula

In high-dimensional settings, sparse structures are critical for efficiency in term of memory and computation complexity. For a linear system, to find the sparsest solution provided with an over-complete dictionary of features directly is…

机器学习 · 统计学 2020-07-09 Yiping Jiang , Tianshi Chen

This paper investigates the problem of recovering the support of structured signals via adaptive compressive sensing. We examine several classes of structured support sets, and characterize the fundamental limits of accurately recovering…

统计理论 · 数学 2016-09-05 Rui M. Castro , Ervin Tánczos

In next-generation wireless communications systems, accurate sparse channel estimation (SCE) is required for coherent detection. This paper studies SCE in terms of adaptive filtering theory, which is often termed as adaptive channel…

信息论 · 计算机科学 2015-02-02 Chen Ye , Guan Gui , Li Xu , Nobuhiro Shimoi

This work aims at recovering signals that are sparse on graphs. Compressed sensing offers techniques for signal recovery from a few linear measurements and graph Fourier analysis provides a signal representation on graph. In this paper, we…

机器学习 · 计算机科学 2015-06-22 Xavier Bresson , Thomas Laurent , James von Brecht

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…

机器学习 · 统计学 2017-07-28 Sreejith Kallummil , Sheetal Kalyani

In this paper, we develop a framework to design sensing matrices for compressive sensing applications that lead to good mean squared error (MSE) performance subject to sensing cost constraints. By capitalizing on the MSE of the oracle…

信息论 · 计算机科学 2021-01-28 Wei Chen , Miguel R. D. Rodrigues , Ian Wassell

Compressive sensing (CS) is an emerging sampling technology that enables reconstructing signals from a subset of measurements and even corrupted measurements. Deep learning-based compressive sensing (DCS) has improved CS performance while…

计算机视觉与模式识别 · 计算机科学 2019-12-02 Thuong , Nguyen Canh , Chien , Trinh Van

A new algorithm is proposed for a) unsupervised learning of sparse representations from subsampled measurements and b) estimating the parameters required for linearly reconstructing signals from the sparse codes. We verify that the new…

神经元与认知 · 定量生物学 2010-11-02 Guy Isely , Christopher J. Hillar , Friedrich T. Sommer

In many real-world problems, recovering sparse signals from underdetermined linear systems remains a fundamental challenge. Although $\ell_1$ norm minimization is widely used, it suffers from estimation bias that prevents it from reaching…

信息论 · 计算机科学 2026-04-16 Keisuke Morita , Federico Ricci-Tersenghi , Masayuki Ohzeki

In this paper, we present a communication-efficient federated learning framework inspired by quantized compressed sensing. The presented framework consists of gradient compression for wireless devices and gradient reconstruction for a…

分布式、并行与集群计算 · 计算机科学 2021-12-01 Yongjeong Oh , Namyoon Lee , Yo-Seb Jeon , H. Vincent Poor

Compressed Sensing (CS) is a signal processing technique which can accurately recover sparse signals from linear measurements with far fewer number of measurements than those required by the classical Shannon-Nyquist theorem. Block sparse…

信息论 · 计算机科学 2019-01-30 Haifeng Li , Jinming Wen

For wideband spectrum sensing, compressive sensing has been proposed as a solution to speed up the high dimensional signals sensing and reduce the computational complexity. Compressive sensing consists of acquiring the essential information…

信号处理 · 电气工程与系统科学 2018-02-13 Fatima Salahdine , Naima Kaabouch , Hassan El Ghazi

Sparse wideband sensor array design for sensor location optimisation is highly nonlinear and it is traditionally solved by genetic algorithms, simulated annealing or other similar optimization methods. However, this is an extremely…

信息论 · 计算机科学 2014-03-20 Matthew B. Hawes , Wei Liu

Recent breakthrough results in compressive sensing (CS) have established that many high dimensional signals can be accurately recovered from a relatively small number of non-adaptive linear observations, provided that the signals possess a…

信息论 · 计算机科学 2013-10-17 Akshay Soni , Jarvis Haupt
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