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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

This letter addresses the problem of estimating block sparse signal with unknown group partitions in a multiple measurement vector (MMV) setup. We propose a Bayesian framework by applying an adaptive total variation (TV) penalty on the…

Signal Processing · Electrical Eng. & Systems 2025-03-13 Hamza Djelouat , Reijo Leinonen , Mikko J. Sillanpää , Bhaskar D. Rao , Markku Juntti

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

This paper presents a sparse Bayesian learning algorithm for inverse problems in signal and image processing with a total variation (TV) sparsity prior. Because of the prior used, and the fact that the prior parameters are estimated…

Signal Processing · Electrical Eng. & Systems 2019-05-06 Victor Churchill , Anne Gelb

This paper presents a sparse Bayesian learning (SBL) algorithm for linear inverse problems with a high order total variation (HOTV) sparsity prior. For the problem of sparse signal recovery, SBL often produces more accurate estimates than…

Signal Processing · Electrical Eng. & Systems 2020-07-20 Victor Churchill , Anne Gelb

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

Accurate channel estimation is a key requirement in extremely large-scale multiple-input multiple-output (XL-MIMO) systems. Sparse Bayesian learning (SBL) is a well-established framework for exploiting channel sparsity, but its performance…

Signal Processing · Electrical Eng. & Systems 2026-05-28 Arttu Arjas , Italo Atzeni

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…

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…

Machine Learning · Statistics 2011-08-18 Zhilin Zhang , Bhaskar D. Rao

We consider the problem of sparse channel estimation in massive multiple-input multiple-output systems. In this context, we propose an enhanced version of the sparse Bayesian learning (SBL) framework, referred to as enhanced SBL (E-SBL),…

Signal Processing · Electrical Eng. & Systems 2025-01-15 Arttu Arjas , Italo Atzeni

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

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

This paper introduces a novel prior called Diversified Block Sparse Prior to characterize the widespread block sparsity phenomenon in real-world data. By allowing diversification on intra-block variance and inter-block correlation matrices,…

Machine Learning · Computer Science 2024-10-31 Yanhao Zhang , Zhihan Zhu , Yong Xia

Sparse Bayesian Learning (SBL) constructs an extremely sparse probabilistic model with very competitive generalization. However, SBL needs to invert a big covariance matrix with complexity $O(M^3)$ (M: feature size) for updating the…

Machine Learning · Computer Science 2023-09-12 Jiahua Luo , Chi-Man Wong , Chi-Man Vong

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

Many signal processing applications require estimation of time-varying sparse signals, potentially with the knowledge of an imperfect dynamics model. In this paper, we propose an algorithm for dynamic filtering of time-varying sparse…

Signal Processing · Electrical Eng. & Systems 2020-01-01 Matthew R. O'Shaughnessy , Mark A. Davenport , Christopher J. Rozell

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

We propose an sparse Bayesian learning (SBL)-based method that leverages group sparsity and multiple parameterized dictionaries to detect the relevant dictionary entries and estimate their continuous parameters by combining data from…

Signal Processing · Electrical Eng. & Systems 2025-11-05 Jakob Möderl , Anders Malte Westerkam , Alexander Venus , Erik Leitinger

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

Sparse Bayesian learning (SBL) is a powerful framework for tackling the sparse coding problem. However, the most popular inference algorithms for SBL become too expensive for high-dimensional settings, due to the need to store and compute a…

Signal Processing · Electrical Eng. & Systems 2022-02-28 Alexander Lin , Andrew H. Song , Berkin Bilgic , Demba Ba
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