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In the context of compressed sensing (CS), this paper considers the problem of reconstructing sparse signals with the aid of other given correlated sources as multiple side information. To address this problem, we theoretically study a…

Information Theory · Computer Science 2017-01-19 Huynh Van Luong , Jurgen Seiler , Andre Kaup , Soren Forchhammer , Nikos Deligiannis

The least-absolute shrinkage and selection operator (LASSO) is a regularization technique for estimating sparse signals of interest emerging in various applications and can be efficiently solved via the alternating direction method of…

Information Theory · Computer Science 2022-08-25 Huiyue Yi , Yan Xu , Wuxiong Zhang , Hui Xu

This paper presents a novel projection-based adaptive algorithm for sparse signal and system identification. The sequentially observed data are used to generate an equivalent sequence of closed convex sets, namely hyperslabs. Each hyperslab…

Information Theory · Computer Science 2015-10-28 Yannis Kopsinis , Konstantinos Slavakis , Sergios Theodoridis

In this article, a fractional-norm constrained blind adaptive algorithm is presented for sparse channel equalization. In essence, the algorithm improves on the minimization of the constant modulus (CM) criteria by adding a sparsity inducing…

Information Theory · Computer Science 2017-08-09 Shafayat Abrar

Existing methods for sparse channel estimation typically provide an estimate computed as the solution maximizing an objective function defined as the sum of the log-likelihood function and a penalization term proportional to the l1-norm of…

Machine Learning · Statistics 2012-04-04 Niels Lovmand Pedersen , Carles Navarro Manchón , Dmitriy Shutin , Bernard Henri Fleury

Sparse covariates are frequent in classification and regression problems and in these settings the task of variable selection is usually of interest. As it is well known, sparse statistical models correspond to situations where there are…

Methodology · Statistics 2020-02-14 Ana M. Bianco , Graciela Boente , Gonzalo Chebi

This paper develops a channel estimation technique for millimeter wave (mmWave) communication systems. Our method exploits the sparse structure in mmWave channels for low training overhead and accounts for the phase errors in the channel…

Signal Processing · Electrical Eng. & Systems 2023-10-12 Weijia Yi , Nitin Jonathan Myers , Geethu Joseph

The Lasso is biased. Concave penalized least squares estimation (PLSE) takes advantage of signal strength to reduce this bias, leading to sharper error bounds in prediction, coefficient estimation and variable selection. For prediction and…

Statistics Theory · Mathematics 2017-12-29 Long Feng , Cun-Hui Zhang

The L1 norm regularized least squares method is often used for finding sparse approximate solutions and is widely used in 1-D signal restoration. Basis pursuit denoising (BPD) performs noise reduction in this way. However, the shortcoming…

Computer Vision and Pattern Recognition · Computer Science 2020-01-30 Nantheera Anantrasirichai , Rencheng Zheng , Ivan Selesnick , Alin Achim

In longitudinal study, it is common that response and covariate are not measured at the same time, which complicates the analysis to a large extent. In this paper, we take into account the estimation of generalized varying coefficient model…

Methodology · Statistics 2022-06-10 Rou Zhong , Chunming Zhang , Jingxiao Zhang

This work proposes a method for sparse polynomial chaos (PC) approximation of high-dimensional stochastic functions based on non-adapted random sampling. We modify the standard l1 -minimization algorithm, originally proposed in the context…

Numerical Analysis · Mathematics 2015-06-16 Ji Peng , Jerrad Hampton , Alireza Doostan

We consider an important problem in signal processing, which consists in finding the sparsest solution of a linear system $\Phi x=b$. This problem has applications in several areas, but is NP-hard in general. Usually an alternative convex…

Optimization and Control · Mathematics 2019-06-25 Matías Valdés , Marcelo Fiori

The aim of sparse approximation is to estimate a sparse signal according to the measurement matrix and an observation vector. It is widely used in data analytics, image processing, and communication, etc. Up to now, a lot of research has…

Signal Processing · Electrical Eng. & Systems 2018-05-31 Hao Wang , Ruibin Feng , Chi-Sing Leung

In this paper, we introduce a new algorithm to deal with the stalling effect in the LMS algorithm used in adaptive filters. We modify the update rule of the tap weight vectors by adding noise, generated by a noise generator. The properties…

Signal Processing · Electrical Eng. & Systems 2018-07-20 Hamid Reza Shahdoosti

Accurate channel state information (CSI) is required for coherent detection in time-variant multiple-input multipleoutput (MIMO) communication systems using orthogonal frequency division multiplexing (OFDM) modulation. One of low-complexity…

Information Theory · Computer Science 2013-02-07 Guan Gui , Wei Peng , Fumiyuki Adachi

Nonconvex penalty methods for sparse modeling in linear regression have been a topic of fervent interest in recent years. Herein, we study a family of nonconvex penalty functions that we call the trimmed Lasso and that offers exact control…

Methodology · Statistics 2017-08-16 Dimitris Bertsimas , Martin S. Copenhaver , Rahul Mazumder

In the linear minimum mean square error (LMMSE) estimation for orthogonal frequency division multiplexing (OFDM) systems, the problem about the determination of the algorithm's parameters, especially those related with channel frequency…

Signal Processing · Electrical Eng. & Systems 2021-07-13 Kai Mei , Jun Liu , Xiaoran Liu , Jun Xiong , Xiaoying Zhang , Jibo Wei

To overcome the tradeoff of the conventional normalized least mean square (NLMS) algorithm between fast convergence rate and low steady-state misalignment, this paper proposes a variable step size (VSS) NLMS algorithm by devising a new…

Systems and Control · Computer Science 2015-04-22 Yi Yu , Haiquan Zhao

It is well known that $\ell_1$ minimization can be used to recover sufficiently sparse unknown signals from compressed linear measurements. In fact, exact thresholds on the sparsity, as a function of the ratio between the system dimensions,…

Information Theory · Computer Science 2011-11-08 M. Amin Khajehnejad , Weiyu Xu , A. Salman Avestimehr , Babak Hassibi

The least-mean-squares (LMS) algorithm is the most popular algorithm in adaptive filtering. Several variable step-size strategies have been suggested to improve the performance of the LMS algorithm. These strategies enhance the performance…

Data Structures and Algorithms · Computer Science 2017-03-22 Muhammad Omer Bin Saeed
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