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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 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

We propose a variational Bayesian (VB) implementation of block-sparse Bayesian learning (BSBL) to compute proxy probability density functions (PDFs) that approximate the posterior PDFs of the weights and associated hyperparameters in a…

Signal Processing · Electrical Eng. & Systems 2025-11-05 Jakob Möderl , Erik Leitinger , Bernard H. Fleury , Franz Pernkopf , Klaus Witrisal

We consider the problem of recovering block-sparse signals whose structures are unknown \emph{a priori}. Block-sparse signals with nonzero coefficients occurring in clusters arise naturally in many practical scenarios. However, the…

Information Theory · Computer Science 2013-11-12 Jun Fang , Yanning Shen , Hongbin Li , Pu Wang

Sparse deep learning aims to address the challenge of huge storage consumption by deep neural networks, and to recover the sparse structure of target functions. Although tremendous empirical successes have been achieved, most sparse deep…

Machine Learning · Statistics 2020-11-17 Jincheng Bai , Qifan Song , Guang Cheng

Although various distributed machine learning schemes have been proposed recently for pure linear models and fully nonparametric models, little attention has been paid on distributed optimization for semi-paramemetric models with…

Machine Learning · Statistics 2019-11-05 Shaogao Lv , Heng Lian

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

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 propose a novel adaptive empirical Bayesian method for sparse deep learning, where the sparsity is ensured via a class of self-adaptive spike-and-slab priors. The proposed method works by alternatively sampling from an adaptive…

Machine Learning · Statistics 2020-04-15 Wei Deng , Xiao Zhang , Faming Liang , Guang Lin

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 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, a sparsity-aware adaptive algorithm for distributed learning in diffusion networks is developed. The algorithm follows the set-theoretic estimation rationale. At each time instance and at each node of the network, a closed…

Information Theory · Computer Science 2015-06-03 Symeon Chouvardas , Konstantinos Slavakis , Yannis Kopsinis , Sergios Theodoridis

Block sparsity is a widely exploited structure in sparse recovery, offering significant gains when signal blocks are known. Yet, practical signals often exhibit unknown block boundaries and isolated non-zero entries, which challenge…

Signal Processing · Electrical Eng. & Systems 2026-02-05 Yanbin He , Geethu Joseph

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

There has been an intense development on the estimation of a sparse regression coefficient vector in statistics, machine learning and related fields. In this paper, we focus on the Bayesian approach to this problem, where sparsity is…

Computation · Statistics 2016-02-25 Xichen Huang , Jin Wang , Feng Liang

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

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

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

In this work, we propose a Bayesian type sparse deep learning algorithm. The algorithm utilizes a set of spike-and-slab priors for the parameters in the deep neural network. The hierarchical Bayesian mixture will be trained using an…

Numerical Analysis · Mathematics 2021-03-17 Yating Wang , Wei Deng , Lin Guang

This paper proposes a sparse Bayesian treatment of deep neural networks (DNNs) for system identification. Although DNNs show impressive approximation ability in various fields, several challenges still exist for system identification…

Systems and Control · Electrical Eng. & Systems 2022-06-02 Hongpeng Zhou , Chahine Ibrahim , Wei Xing Zheng , Wei Pan
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