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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

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 propose a new method for high-dimensional semi-supervised learning problems based on the careful aggregation of the results of a low-dimensional procedure applied to many axis-aligned random projections of the data. Our primary goal is…

Methodology · Statistics 2023-04-19 Tengyao Wang , Edgar Dobriban , Milana Gataric , Richard J. Samworth

Robust physics discovery is of great interest for many scientific and engineering fields. Inspired by the principle that a representative model is the one simplest possible, a new model selection criteria considering both model's Parsimony…

Machine Learning · Computer Science 2022-03-02 Zhiming Zhang , Yongming Liu

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

The paper considers direction of arrival (DOA) estimation from long-term observations in a noisy environment. In such an environment the noise source might evolve, causing the stationary models to fail. Therefore a heteroscedastic Gaussian…

Signal Processing · Electrical Eng. & Systems 2017-11-13 Peter Gerstoft , Santosh Nannuru , Christoph F. Mecklenbräuker , Geert Leus

To address the complexities of spatial non-stationary (SnS) effects and spherical wave propagation in near-field channel estimation (CE) for extremely large-scale multiple-input multiple-output (XL-MIMO) systems, this paper proposes an…

Signal Processing · Electrical Eng. & Systems 2025-12-01 Shuhang Yang , Puguang An , Peng Yang , Xianbin Cao , Dapeng Oliver Wu , Tony Q. S. Quek

We assume the direct sum <A> o <B> for the signal subspace. As a result of post- measurement, a number of operational contexts presuppose the a priori knowledge of the LB -dimensional "interfering" subspace <B> and the goal is to estimate…

Applications · Statistics 2017-04-17 Guillaume Bouleux , Rémy Boyer

We propose an iterative channel estimation algorithm based on the Least Square Estimation (LSE) and Sparse Message Passing (SMP) algorithm for the Millimeter Wave (mmWave) MIMO systems. The channel coefficients of the mmWave MIMO are…

Information Theory · Computer Science 2022-06-23 Chongwen Huang , Lei Liu , Chau Yuen , Sumei Sun

In practical affine frequency division multiplexing (AFDM) systems, the intricate coupling of oscillator phase noise (PN) and off-grid fractional shifts traps conventional estimators in a severe high-SNR error floor. To address these…

Signal Processing · Electrical Eng. & Systems 2026-04-21 You Xu , Huaijin Zhang , Lixia Xiao , Guanghua Liu , Zilong Liu

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

This paper investigates the applicability of a recently-proposed nonlinear sparse Bayesian learning (NSBL) algorithm to identify and estimate the complex aerodynamics of limit cycle oscillations. NSBL provides a semi-analytical framework…

Computational Engineering, Finance, and Science · Computer Science 2022-10-24 Rimple Sandhu , Brandon Robinson , Mohammad Khalil , Chris L. Pettit , Dominique Poirel , Abhijit Sarkar

Bayesian neural networks (BNNs) offer uncertainty quantification but come with the downside of substantially increased training and inference costs. Sparse BNNs have been investigated for efficient inference, typically by either slowly…

Machine Learning · Computer Science 2024-02-20 Junbo Li , Zichen Miao , Qiang Qiu , Ruqi Zhang

This work addresses the fundamental linear inverse problem in compressive sensing (CS) by introducing a new type of regularizing generative prior. Our proposed method utilizes ideas from classical dictionary-based CS and, in particular,…

Machine Learning · Statistics 2024-11-15 Benedikt Böck , Sadaf Syed , Wolfgang Utschick

Accurate channel estimation is essential for both high-rate communication and high-precision sensing in 6G wireless systems. However, a major performance limitation arises from calibration mismatches when operating phased-array antennas…

Signal Processing · Electrical Eng. & Systems 2025-11-10 Patrick Hödl , Jakob Möderl , Erik Leitinger , Klaus Witrisal

Extremely large-scale multiple-input multiple-output (XL-MIMO) systems are a key technology for future wireless networks, but the large array aperture naturally creates a hybrid-field (HF) propagation regime in which far-field (FF)…

Systems and Control · Electrical Eng. & Systems 2026-02-04 David William Marques Guerra , Taufik Abrao

Extremely large-scale multiple-input multiple-output (XL-MIMO) systems operating at sub-THz carrier frequencies represent a promising solution to meet the demands of next-generation wireless applications. This work focuses on sparse channel…

Signal Processing · Electrical Eng. & Systems 2025-08-13 Vidya Bhasker Shukla , Italo Atzeni

Dynamic network reconstruction has been shown to be challenging due to the requirements on sparse network structures and network identifiability. The direct parametric method (e.g., using ARX models) requires a large amount of parameters in…

Systems and Control · Computer Science 2018-11-22 Zuogong Yue , Johan Thunberg , Lennart Ljung , Jorge Goncalves

Broadband wireless channels usually have the sparse nature. Based on the assumption of Gaussian noise model, adaptive filtering algorithms for reconstruction sparse channels were proposed to take advantage of channel sparsity. However,…

Information Theory · Computer Science 2015-02-20 Guan Gui , Li Xu , Wentao Ma , Badong Chen

In this paper, we develop a Bayesian evidence maximization framework to solve the sparse non-negative least squares (S-NNLS) problem. We introduce a family of probability densities referred to as the Rectified Gaussian Scale Mixture (R-…

Machine Learning · Computer Science 2018-03-29 Alican Nalci , Igor Fedorov , Maher Al-Shoukairi , Thomas T. Liu , Bhaskar D. Rao
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