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This paper proposes a unified sparsity-aware robust recursive least-squares RLS (S-RRLS) algorithm for the identification of sparse systems under impulsive noise. The proposed algorithm generalizes multiple algorithms only by replacing the…

信号处理 · 电气工程与系统科学 2022-05-11 Y. Yu , L. Lu , Y. Zakharov , R. C. de Lamare , B. Chen

A new sparse signal recovery algorithm for multiple-measurement vectors (MMV) problem is proposed in this paper. The sparse representation is iteratively drawn based on the idea of zero-point attracting projection (ZAP). In each iteration,…

信息论 · 计算机科学 2015-03-20 Yang You , Laming Chen , Yuantao Gu , Wei Feng , Hui Dai

Accurate channel estimation is essential for broadband wireless communications. As wireless channels often exhibit sparse structure, the adaptive sparse channel estimation algorithms based on normalized least mean square (NLMS) have been…

信息论 · 计算机科学 2013-11-07 Guan Gui , Linglong Dai , Shinya Kumagai , Fumiyuki Adachi

Channel state information (CSI) is very crucial for any wireless communication systems. Typically, CSI can be characterized at the receiver side using channel impulse response (CIR). Many observations have shown that the CIR of broadband…

信号处理 · 电气工程与系统科学 2018-12-12 Ahmed M. Abd El-Moaty , Azzedine Zerguine

In this paper, we propose a new greedy algorithm for sparse approximation, called SLS for Single L_1 Selection. SLS essentially consists of a greedy forward strategy, where the selection rule of a new component at each iteration is based on…

最优化与控制 · 数学 2021-02-12 Ramzi Ben Mhenni , Sébastien Bourguignon , Jérôme Idier

We present a new algorithm for finding a near optimal low-rank approximation of a matrix $A$ in $O(nnz(A))$ time. Our method is based on a recursive sampling scheme for computing a representative subset of $A$'s columns, which is then used…

数据结构与算法 · 计算机科学 2016-10-10 Michael B. Cohen , Cameron Musco , Christopher Musco

In this work, we propose an optimization framework for estimating a sparse robust one-dimensional subspace. Our objective is to minimize both the representation error and the penalty, in terms of the l1-norm criterion. Given that the…

机器学习 · 统计学 2024-03-07 Xiao Ling , Paul Brooks

This article proposes novel sparsity-aware space-time adaptive processing (SA-STAP) algorithms with $l_1$-norm regularization for airborne phased-array radar applications. The proposed SA-STAP algorithms suppose that a number of samples of…

信息论 · 计算机科学 2013-04-16 Z. Yang , R. C. de Lamare

We propose the Lasso Weighted $k$-means ($LW$-$k$-means) algorithm as a simple yet efficient sparse clustering procedure for high-dimensional data where the number of features ($p$) can be much larger compared to the number of observations…

机器学习 · 统计学 2019-03-26 Saptarshi Chakraborty , Swagatam Das

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…

信息论 · 计算机科学 2015-10-28 Yannis Kopsinis , Konstantinos Slavakis , Sergios Theodoridis

Nonlinear sparse sensing (NSS) techniques have been adopted for realizing compressive sensing (CS) in many applications such as Radar imaging and sparse channel estimation. Unlike the NSS, in this paper, we propose an adaptive sparse…

信息论 · 计算机科学 2014-07-24 Guan Gui , Li Xu , Xiao-mei Zhu , Zhang-xin Chen

This letter proposes a novel sparsity-aware adaptive filtering scheme and algorithms based on an alternating optimization strategy with shrinkage. The proposed scheme employs a two-stage structure that consists of an alternating…

系统与控制 · 计算机科学 2023-07-19 Rodrigo C. de Lamare , Raimundo Sampaio-Neto

The so-called constrained least mean-square algorithm is one of the most commonly used linear-equality-constrained adaptive filtering algorithms. Its main advantages are adaptability and relative simplicity. In order to gain analytical…

系统与控制 · 计算机科学 2015-02-26 Reza Arablouei , Kutluyıl Doğançay , Stefan Werner

Nonlinear sparse sensing (NSS) techniques have been adopted for realizing compressive sensing in many applications such as Radar imaging. Unlike the NSS, in this paper, we propose an adaptive sparse sensing (ASS) approach using reweighted…

信息论 · 计算机科学 2015-06-18 Guan Gui , Li Xu , Fumiyuki Adachi

In this paper, we propose an adaptive framework for the variable step size of the fractional least mean square (FLMS) algorithm. The proposed algorithm named the robust variable step size-FLMS (RVSS-FLMS), dynamically updates the step size…

最优化与控制 · 数学 2017-11-15 Shujaat Khan , Muhammad Usman , Imran Naseem , Roberto Togneri , Mohammed Bennamoun

Recently, there has been focus on penalized log-likelihood covariance estimation for sparse inverse covariance (precision) matrices. The penalty is responsible for inducing sparsity, and a very common choice is the convex $l_1$ norm.…

机器学习 · 统计学 2023-07-19 Goran Marjanovic , Alfred O. Hero

As enjoying the closed form solution, least squares support vector machine (LSSVM) has been widely used for classification and regression problems having the comparable performance with other types of SVMs. However, LSSVM has two drawbacks:…

机器学习 · 计算机科学 2017-02-08 Li Chen , Shuisheng Zhou

Sparsity finds applications in areas as diverse as statistics, machine learning, and signal processing. Computations over sparse structures are less complex compared to their dense counterparts, and their storage consumes less space. This…

信号处理 · 电气工程与系统科学 2023-01-31 Omar M. Sleem , M. E. Ashour , N. S. Aybat , Constantino M. Lagoa

The paper provides a thorough investigation of Direct loss minimization (DLM), which optimizes the posterior to minimize predictive loss, in sparse Gaussian processes. For the conjugate case, we consider DLM for log-loss and DLM for square…

机器学习 · 计算机科学 2020-10-29 Yadi Wei , Rishit Sheth , Roni Khardon

The recovery of sparse data is at the core of many applications in machine learning and signal processing. While such problems can be tackled using $\ell_1$-regularization as in the LASSO estimator and in the Basis Pursuit approach,…

最优化与控制 · 数学 2021-11-15 Christian Kümmerle , Claudio Mayrink Verdun , Dominik Stöger