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We address the sparse signal recovery problem in the context of multiple measurement vectors (MMV) when elements in each nonzero row of the solution matrix are temporally correlated. Existing algorithms do not consider such temporal…

机器学习 · 统计学 2011-08-18 Zhilin Zhang , Bhaskar D. Rao

A trend in compressed sensing (CS) is to exploit structure for improved reconstruction performance. In the basic CS model, exploiting the clustering structure among nonzero elements in the solution vector has drawn much attention, and many…

统计计算 · 统计学 2011-06-13 Zhilin Zhang , Bhaskar D. Rao

We address the recovery of sparse vectors in an overcomplete, linear and noisy multiple measurement framework, where the measurement matrix is known upto a permutation of its rows. We derive sparse Bayesian learning (SBL) based updates for…

信息论 · 计算机科学 2018-02-05 Ranjitha Prasad

We propose novel algorithms that enhance the performance of recovering unknown continuous-valued frequencies from undersampled signals. Our iterative reweighted frequency recovery algorithms employ the support knowledge gained from earlier…

信息论 · 计算机科学 2015-10-28 Myung Cho , Kumar Vijay Mishra , Jian-Feng Cai , Weiyu Xu

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)…

机器学习 · 计算机科学 2017-06-30 Subhadip Mukherjee , Deepak R. , Huaijin Chen , Ashok Veeraraghavan , Chandra Sekhar Seelamantula

The multiple measurement vector problem (MMV) is a generalization of the compressed sensing problem that addresses the recovery of a set of jointly sparse signal vectors. One of the important contributions of this paper is to reveal that…

信息论 · 计算机科学 2016-01-20 Jong Chul Ye , Jong Min Kim , Yoram Bresler

The performance of sparse signal recovery from noise corrupted, underdetermined measurements can be improved if both sparsity and correlation structure of signals are exploited. One typical correlation structure is the intra-block…

信息论 · 计算机科学 2013-10-01 Benyuan Liu , Zhilin Zhang , Hongqi Fan , Qiang Fu

This work proposes a decentralized, iterative, Bayesian algorithm called CB-DSBL for in-network estimation of multiple jointly sparse vectors by a network of nodes, using noisy and underdetermined linear measurements. The proposed algorithm…

机器学习 · 计算机科学 2016-11-15 Saurabh Khanna , Chandra R. Murthy

Due to its self-regularizing nature and its ability to quantify uncertainty, the Bayesian approach has achieved excellent recovery performance across a wide range of sparse signal recovery applications. However, most existing methods are…

信号处理 · 电气工程与系统科学 2022-09-07 Zonglong Bai , Liming Shi , Jinwei Sun , Mads Græsbøll Christensen

This paper considers the problem of reconstructing sparse or compressible signals from one-bit quantized measurements. We study a new method that uses a log-sum penalty function, also referred to as the Gaussian entropy, for sparse signal…

信息论 · 计算机科学 2012-10-17 Jun Fang , Yanning Shen , Hongbin Li

Sparse signal recoveries from multiple measurement vectors (MMV) with joint sparsity property have many applications in signal, image, and video processing. The problem becomes much more involved when snapshots of the signal matrix are…

信息论 · 计算机科学 2021-01-25 Ningning Han , Shidong Li , Jian Lu

Sparsity of channel in the next generation of wireless communication for massive multiple-input-multiple-output (MIMO) systems can be exploited to reduce the overhead in the training. The multitask (MT)-sparse Bayesian learning (SBL) is…

信息论 · 计算机科学 2024-10-30 Arash Shahmansoori

We introduce a novel optimization algorithm for image recovery under learned sparse and low-rank constraints, which we parameterize as weighted extensions of the $\ell_p^p$-vector and $\mathcal S_p^p$ Schatten-matrix quasi-norms for…

计算机视觉与模式识别 · 计算机科学 2023-04-21 Stamatios Lefkimmiatis , Iaroslav Koshelev

Sparsity is one of the key concepts that allows the recovery of signals that are subsampled at a rate significantly lower than required by the Nyquist-Shannon sampling theorem. Our proposed framework uses arbitrary multiscale transforms,…

最优化与控制 · 数学 2017-05-31 Jackie Ma , Maximilian März

In this paper, we consider the block-sparse signals recovery problem in the context of multiple measurement vectors (MMV) with common row sparsity patterns. We develop a new method for recovery of common row sparsity MMV signals, where a…

机器学习 · 计算机科学 2017-11-07 Hang Xiao , Zhengli Xing , Linxiao Yang , Jun Fang , Yanlun Wu

Sparse Bayesian learning (SBL) has emerged as a fast and competitive method to perform sparse processing. The SBL algorithm, which is developed using a Bayesian framework, approximately solves a non-convex optimization problem using fixed…

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

In this paper, we present a computationally efficient sparse signal recovery scheme using Deep Neural Networks (DNN). The architecture of the introduced neural network is inspired from sparse Bayesian learning (SBL) and named as Learned-SBL…

信息论 · 计算机科学 2019-09-19 Rubin Jose Peter , Chandra R. Murthy

Energy consumption is an important issue in continuous wireless telemonitoring of physiological signals. Compressed sensing (CS) is a promising framework to address it, due to its energy-efficient data compression procedure. However, most…

信息论 · 计算机科学 2014-11-18 Zhilin Zhang , Tzyy-Ping Jung , Scott Makeig , Zhouyue Pi , Bhaskar D. Rao

Sparse Bayesian Learning is one of the most popular sparse signal recovery methods, and various algorithms exist under the SBL paradigm. However, given a performance metric and a sparse recovery problem, it is difficult to know a-priori the…

信号处理 · 电气工程与系统科学 2026-04-06 Rushabha Balaji , Kuan-Lin Chen , Danijela Cabric , Bhaskar D. Rao
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