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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…

This paper introduces a new sparse Bayesian learning (SBL) algorithm that jointly recovers a temporal sequence of edge maps from noisy and under-sampled Fourier data. The new method is cast in a Bayesian framework and uses a prior that…

Applications · Statistics 2023-03-01 Yao Xiao , Anne Gelb , Guohui Song

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

This paper addresses the problem of learning dictionaries for multimodal datasets, i.e. datasets collected from multiple data sources. We present an algorithm called multimodal sparse Bayesian dictionary learning (MSBDL). MSBDL leverages…

Machine Learning · Statistics 2019-05-30 Igor Fedorov , 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…

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

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

Sparse Bayesian learning (SBL)-aided target localization is conceived for a bistatic mmWave MIMO radar system in the presence of unknown clutter, followed by the development of an angle-Doppler (AD)-domain representation of the…

Signal Processing · Electrical Eng. & Systems 2025-06-16 Priyanka Maity , Suraj Srivastava , Aditya K. Jagannatham , Lajos Hanzo

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

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

Sparse Bayesian Learning (SBL) is a powerful framework for attaining sparsity in probabilistic models. Herein, we propose a coordinate ascent algorithm for SBL termed Relevance Matching Pursuit (RMP) and show that, as its noise variance…

Machine Learning · Computer Science 2021-06-14 Sebastian Ament , Carla Gomes

This paper begins with considering the identification of sparse linear time-invariant networks described by multivariable ARX models. Such models possess relatively simple structure thus used as a benchmark to promote further research. With…

Systems and Control · Computer Science 2016-10-03 J. Jin , Y. Yuan , W. Pan , D. L. T. Pham , C. J. Tomlin , A. Webb , J. Goncalves

Sparse Bayesian learning (SBL) is a popular approach to sparse signal recovery in compressed sensing (CS). In SBL, the signal sparsity information is exploited by assuming a sparsity-inducing prior for the signal that is then estimated…

Information Theory · Computer Science 2012-09-03 Zai Yang , Lihua Xie , Cishen Zhang

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) models are extensively used in signal processing and machine learning for promoting sparsity through hierarchical priors. The hyperparameters in SBL models are crucial for the model's performance, but they are…

Machine Learning · Computer Science 2024-01-08 Feng Yu , Lixin Shen , Guohui Song

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 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

Received signal strength (RSS) based source localization method is popular due to its simplicity and low cost. However, this method is highly dependent on the propagation model which is not easy to be captured in practice. Moreover, most…

Signal Processing · Electrical Eng. & Systems 2020-08-26 Kangyong You , Wenbin Guo , Tao Peng , Yueliang Liu , Peiliang Zuo , Wenbo Wang

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…

Machine Learning · Computer Science 2016-11-15 Saurabh Khanna , Chandra R. Murthy

Sensor technology developments provide a basis for effective fault diagnosis in manufacturing systems. However, the limited number of sensors due to physical constraints or undue costs hinders the accurate diagnosis in the actual process.…

Machine Learning · Computer Science 2023-10-26 Jihoon Chung , Zhenyu Kong

Sparse Bayesian learning (SBL) has been extensively utilized in data-driven modeling to combat the issue of overfitting. While SBL excels in linear-in-parameter models, its direct applicability is limited in models where observations…

Computational Engineering, Finance, and Science · Computer Science 2023-10-24 Nastaran Dabiran , Brandon Robinson , Rimple Sandhu , Mohammad Khalil , Chris L. Pettit , Dominique Poirel , Abhijit Sarkar
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