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This study addresses the problem of discrete signal reconstruction from the perspective of sparse Bayesian learning (SBL). Generally, it is intractable to perform the Bayesian inference with the ideal discretization prior under the SBL…

Signal Processing · Electrical Eng. & Systems 2023-04-19 Jisheng Dai , An Liu , Hing Cheung So

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 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

It has been shown both experimentally and theoretically that sparse signal recovery can be significantly improved given that part of the signal's support is known \emph{a priori}. In practice, however, such prior knowledge is usually…

Information Theory · Computer Science 2014-10-21 Jun Fang , Yanning Shen , Fuwei Li , Hongbin Li

For the demonstration of ultra-wideband bandwidth and pencil-beamforming, the terahertz (THz)-band has been envisioned as one of the key enabling technologies for the sixth generation networks. However, the acquisition of the THz channel…

Signal Processing · Electrical Eng. & Systems 2023-04-04 Ahmet M. Elbir , Wei Shi , Anastasios K. Papazafeiropoulos , Pandelis Kourtessis , Symeon Chatzinotas

Recent advances in optical systems make them ideal for undersampling multiband signals that have high bandwidths. In this paper we propose a new scheme for reconstructing multiband sparse signals using a small number of sampling channels.…

Information Theory · Computer Science 2008-06-04 Michael Fleyer , Amir Rosenthal , Alex Linden , Moshe Horowitz

Radio maps enable intelligent wireless applications by capturing the spatial distribution of channel characteristics. However, conventional construction methods demand extensive location-labeled data, which are costly and impractical in…

Artificial Intelligence · Computer Science 2025-12-17 Zheng Xing , Junting Chen

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

High-Resolution three-dimensional (3D) radio maps (RMs) provide rich information about the radio landscape that is essential to a myriad of wireless applications in the future wireless networks. Although deep learning (DL) methods have…

Signal Processing · Electrical Eng. & Systems 2026-04-02 Lin Zhu , Weifeng Zhu , Shuowen Zhang , Giuseppe Caire , Liang Liu

This paper proposes a fast and accurate method for sparse regression in the presence of missing data. The underlying statistical model encapsulates the low-dimensional structure of the incomplete data matrix and the sparsity of the…

Machine Learning · Statistics 2015-03-31 Ravi Ganti , Rebecca M. Willett

In this paper we propose a two-level hierarchical Bayesian model and an annealing schedule to re-enable the noise variance learning capability of the fast marginalized Sparse Bayesian Learning Algorithms. The performance such as NMSE and…

Information Theory · Computer Science 2013-05-02 Benyuan Liu , Hongqi Fan , Zaiqi Lu , Qiang Fu

This paper presents a hierarchical Bayesian model to reconstruct sparse images when the observations are obtained from linear transformations and corrupted by an additive white Gaussian noise. Our hierarchical Bayes model is well suited to…

Data Analysis, Statistics and Probability · Physics 2011-01-19 Nicolas Dobigeon , Alfred O. Hero , Jean-Yves Tourneret

For civil structures, structural damage due to severe loading events such as earthquakes, or due to long-term environmental degradation, usually occurs in localized areas of a structure. A new sparse Bayesian probabilistic framework for…

Applications · Statistics 2015-07-02 Yong Huang , James L. Beck

Cluster-sparse channels often exist in frequencyselective fading broadband communication systems. The main reason is received scattered waveform exhibits cluster structure which is caused by a few reflectors near the receiver. Conventional…

Information Theory · Computer Science 2014-07-24 Guan Gui , Li Xu , Lin Shan

In sparse Bayesian learning (SBL), Gaussian scale mixtures (GSMs) have been used to model sparsity-inducing priors that realize a class of concave penalty functions for the regression task in real-valued signal models. Motivated by the…

The recovery of a low rank matrix from a subset of noisy low-precision quantized samples arises in several applications such as collaborative filtering, intelligent recommendation and millimeter wave channel estimation with few bit ADCs. In…

Information Theory · Computer Science 2019-11-25 Jiang Zhu , Zhennan Liu , Qi Zhang , Chunyi Song , Zhiwei Xu

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

We consider the problem of estimating the channel in reconfigurable intelligent surface (RIS) assisted millimeter wave (mmWave) systems. We propose two variational expectation maximization (VEM) based algorithms for channel estimation in…

Signal Processing · Electrical Eng. & Systems 2022-11-29 Milind Nakul , Anupama Rajoriya , Rohit Budhiraja

Accurate channel estimation is critical for realizing the performance gains of massive multiple-input multiple-output (MIMO) systems. Traditional approaches to channel estimation typically assume ideal receiver hardware and linear signal…

Signal Processing · Electrical Eng. & Systems 2026-02-20 Arttu Arjas , Italo Atzeni

The Broad Learning System (BLS) has gained significant attention for its computational efficiency and less network parameters compared to deep learning structures. However, the standard BLS relies on the pseudoinverse solution, which…

Systems and Control · Electrical Eng. & Systems 2025-11-25 Zijing Li