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Iterative reweighted algorithms, as a class of algorithms for sparse signal recovery, have been found to have better performance than their non-reweighted counterparts. However, for solving the problem of multiple measurement vectors…

Machine Learning · Statistics 2011-04-29 Zhilin Zhang , Bhaskar D. Rao

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…

Information Theory · Computer Science 2013-10-01 Benyuan Liu , Zhilin Zhang , Hongqi Fan , Qiang Fu

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…

Information Theory · Computer Science 2018-02-05 Ranjitha Prasad

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…

Computation · Statistics 2011-06-13 Zhilin Zhang , Bhaskar D. Rao

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…

Machine Learning · Computer Science 2017-11-07 Hang Xiao , Zhengli Xing , Linxiao Yang , Jun Fang , Yanlun Wu

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…

Signal Processing · Electrical Eng. & Systems 2026-04-06 Rushabha Balaji , Kuan-Lin Chen , Danijela Cabric , Bhaskar D. Rao

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…

Information Theory · Computer Science 2014-11-18 Zhilin Zhang , Tzyy-Ping Jung , Scott Makeig , Zhouyue Pi , Bhaskar D. Rao

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…

Information Theory · Computer Science 2016-01-20 Jong Chul Ye , Jong Min Kim , Yoram Bresler

This work discusses the problem of sparse signal recovery when there is correlation among the values of non-zero entries. We examine intra-vector correlation in the context of the block sparse model and inter-vector correlation in the…

Information Theory · Computer Science 2012-05-22 Bhaskar D. Rao , Zhilin Zhang , Yuzhe Jin

In this work, we provide non-asymptotic, probabilistic guarantees for successful recovery of the common nonzero support of jointly sparse Gaussian sources in the multiple measurement vector (MMV) problem. The support recovery problem is…

Information Theory · Computer Science 2021-07-27 Saurabh Khanna , Chandra R. Murthy

We examine the recovery of block sparse signals and extend the framework in two important directions; one by exploiting signals' intra-block correlation and the other by generalizing signals' block structure. We propose two families of…

Machine Learning · Statistics 2015-03-19 Zhilin Zhang , Bhaskar D. Rao

We study the sparse recovery problem with an underdetermined linear system characterized by a Kronecker-structured dictionary and a Kronecker-supported sparse vector. We cast this problem into the sparse Bayesian learning (SBL) framework…

Signal Processing · Electrical Eng. & Systems 2023-08-03 Yanbin He , Geethu Joseph

In the Multiple Measurements Vector (MMV) model, measurement vectors are connected to unknown, jointly sparse signal vectors through a linear regression model employing a single known measurement matrix (or dictionary). Typically, the…

Methodology · Statistics 2024-08-05 Esa Ollila

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…

Information Theory · Computer Science 2024-10-30 Arash Shahmansoori

Block-sparse signal recovery without knowledge of block sizes and boundaries, such as those encountered in multi-antenna mmWave channel models, is a hard problem for compressed sensing (CS) algorithms. We propose a novel Sparse Bayesian…

Signal Processing · Electrical Eng. & Systems 2021-02-17 Aditya Sant , Markus Leinonen , Bhaskar D. Rao

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…

Information Theory · Computer Science 2019-09-19 Rubin Jose Peter , Chandra R. Murthy

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…

Sparse signal recovery algorithms like sparse Bayesian learning work well but the complexity quickly grows when tackling higher dimensional parametric dictionaries. In this work we propose a novel Bayesian strategy to address the two…

Signal Processing · Electrical Eng. & Systems 2021-02-18 Rohan R. Pote , Bhaskar D. Rao

Recovery of low-rank matrices has recently seen significant activity in many areas of science and engineering, motivated by recent theoretical results for exact reconstruction guarantees and interesting practical applications. A number of…

Machine Learning · Statistics 2011-09-12 S. Derin Babacan , Martin Luessi , Rafael Molina , Aggelos K. Katsaggelos

The recovery of block-sparse signals with unknown structural patterns remains a fundamental challenge in structured sparse signal reconstruction. By proposing a variance transformation framework, this paper unifies existing pattern-based…

Optimization and Control · Mathematics 2026-04-13 Yanhao Zhang , Zhihan Zhu , Yong Xia
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