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In this work we are interested in the problems of supervised learning and variable selection when the input-output dependence is described by a nonlinear function depending on a few variables. Our goal is to consider a sparse nonparametric…

Machine Learning · Statistics 2012-08-14 Lorenzo Rosasco , Silvia Villa , Sofia Mosci , Matteo Santoro , Alessandro verri

In this paper, we tackle for the first time the problem of maximum likelihood (ML) estimation of the signal-to-noise ratio (SNR) parameter over time-varying single-input multiple-output (SIMO) channels. Both the data-aided (DA) and the…

Applications · Statistics 2014-11-19 Faouzi Bellili , Rabii Meftehi , Sofiene Affes , Alex Stephenne

Iterative reweighted algorithms, as a class of algorithms for sparse signal recovery, have been found to have better performance than their non-reweighted counterparts. However, for solving the problem of multiple measurement vectors…

Machine Learning · Statistics 2011-04-29 Zhilin Zhang , Bhaskar D. Rao

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

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…

Sparse Bayesian learning (SBL) is a powerful framework for tackling the sparse coding problem while also providing uncertainty quantification. The most popular inference algorithms for SBL exhibit prohibitively large computational costs for…

Signal Processing · Electrical Eng. & Systems 2022-08-31 Alexander Lin , Andrew H. Song , Berkin Bilgic , Demba Ba

In this work, combined calibration and DoA estimation is approached as an extension of the formulation for the Single Measurement Vector (SMV) model of self-calibration to the Multiple Measurement Model (MMV) case. By taking advantage of…

Signal Processing · Electrical Eng. & Systems 2017-12-19 Cheng-Yu Hung , Mostafa Kaveh

We introduce a noise-aware extension to the parametric maximum-likelihood framework for component separation by modeling correlated $1/f^\alpha$ noise as a harmonic-space power law. This approach addresses a key limitation of existing…

Cosmology and Nongalactic Astrophysics · Physics 2025-11-07 Goureesankar Sathyanathan , Josquin Errard , Soumen Basak

Low-rank Multi-view Subspace Learning (LMvSL) has shown great potential in cross-view classification in recent years. Despite their empirical success, existing LMvSL based methods are incapable of well handling view discrepancy and…

Computer Vision and Pattern Recognition · Computer Science 2020-03-24 Jiamiao Xu , Fangzhao Wang , Qinmu Peng , Xinge You , Shuo Wang , Xiao-Yuan Jing , C. L. Philip Chen

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

After decades of research in Direction of Arrival (DoA) estimation, today Maximum Likelihood (ML) algorithms still provide the best performance in terms of resolution capabilities. At the cost of a multidimensional search, ML algorithms…

Signal Processing · Electrical Eng. & Systems 2023-07-19 Xavier Mestre , Pascal Vallet

This work is a re-examination of the sparse Bayesian learning (SBL) of linear regression models of Tipping (2001) in a high-dimensional setting. We propose a hard-thresholded version of the SBL estimator that achieves, for orthogonal design…

Methodology · Statistics 2015-02-12 Yves Atchade , Chia Chye Yee

The imperfect array degrades the direction finding performance. In this paper, we investigate the direction finding problem in uniform linear array (ULA) system with unknown mutual coupling effect between antennas. By exploiting the target…

Signal Processing · Electrical Eng. & Systems 2018-12-10 Peng Chen , Zhimin Chen , Xuan Zhang , Linxi Liu

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

This paper investigates parametric direction-of-arrival (DOA) estimation in a particular context: i) each sensor is characterized by an unknown complex gain and ii) the array consists of a collection of subarrays which are substantially…

A number of recent works have proposed to solve the line spectral estimation problem by applying off-the-grid extensions of sparse estimation techniques. These methods are preferable over classical line spectral estimation algorithms…

Signal Processing · Electrical Eng. & Systems 2018-02-19 Thomas Lundgaard Hansen , Bernard Henri Fleury , Bhaskar D. Rao

The radio environment map (REM) visually displays the spectrum information over the geographical map and plays a significant role in monitoring, management, and security of spectrum resources.In this paper, we present an efficient 3D REM…

Signal Processing · Electrical Eng. & Systems 2024-03-14 Wang Jie , Zhu Qiuming , Lin Zhipeng , Chen Junting , Ding Guoru , Wu Qihui , Gu Guochen , Gao Qianhao

This paper addresses the problem of direction-of-arrival (DOA) estimation for constant modulus (CM) source signals using a uniform or sparse linear array. Existing methods typically exploit either the Vandermonde structure of the steering…

Signal Processing · Electrical Eng. & Systems 2024-04-23 Xunmeng Wu , Zai Yang , Zhiqiang Wei , Zongben Xu

It is now widely accepted that knowledge can be acquired from networks by clustering their vertices according to connection profiles. Many methods have been proposed and in this paper we concentrate on the Stochastic Block Model (SBM). The…

Applications · Statistics 2010-07-27 Pierre Latouche , Etienne Birmele , Christophe Ambroise

The topic of recovery of a structured model given a small number of linear observations has been well-studied in recent years. Examples include recovering sparse or group-sparse vectors, low-rank matrices, and the sum of sparse and low-rank…

Information Theory · Computer Science 2014-07-28 Samet Oymak , Amin Jalali , Maryam Fazel , Yonina C. Eldar , Babak Hassibi