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In this work, we propose two low-complexity set-membership normalized least-mean-square (LCSM-NLMS1 and LCSM-NLMS2) algorithms to exploit the sparsity of an unknown system. For this purpose, in the LCSM-NLMS1 algorithm, we employ a function…

Signal Processing · Electrical Eng. & Systems 2020-07-14 Javad Sharafi , Mohsen Mehrali-Varjani

An iteratively reweighted least squares (IRLS) method is proposed for estimating polyserial and polychoric correlation coefficients in this paper. It iteratively calculates the slopes in a series of weighted linear regression models fitting…

Methodology · Statistics 2022-10-21 Peng Zhang , Ben Liu , Jingjing Pan

Significant attention has been given to minimizing a penalized least squares criterion for estimating sparse solutions to large linear systems of equations. The penalty is responsible for inducing sparsity and the natural choice is the…

Machine Learning · Statistics 2015-03-20 Goran Marjanovic , Magnus O. Ulfarsson , Alfred O. Hero

Large Language Models (LLMs) have demonstrated remarkable proficiency in language comprehension and generation; however, their widespread adoption is constrained by substantial bandwidth and computational demands. While pruning and low-rank…

Computation and Language · Computer Science 2025-10-31 Zeliang Zong , Kai Zhang , Zheyang Li , Wenming Tan , Ye Ren , Yiyan Zhai , Jilin Hu

Recursive least squares (RLS) algorithms were once widely used for training small-scale neural networks, due to their fast convergence. However, previous RLS algorithms are unsuitable for training deep neural networks (DNNs), since they…

Machine Learning · Computer Science 2021-09-08 Chunyuan Zhang , Qi Song , Hui Zhou , Yigui Ou , Hongyao Deng , Laurence Tianruo Yang

We propose a Multi-step Screening Procedure (MSP) for the recovery of sparse linear models in high-dimensional data. This method is based on a repeated small penalty strategy that quickly converges to an estimate within a few iterations.…

Methodology · Statistics 2019-12-13 Yuehan Yang , Ji Zhu , Edward I. George

In this paper we consider the issue of reliability of measurements in distributed adaptive estimation problem. To this aim, we assume a sensor network with different observation noise variance among the sensors and propose new estimation…

Systems and Control · Computer Science 2015-07-27 Wael M. Bazzi , Amir Rastegarnia , Azam Khalili

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

A distributed algorithm for least mean square (LMS) can be used in distributed signal estimation and in distributed training for multivariate regression models. The convergence speed of an algorithm is a critical factor because a faster…

Information Theory · Computer Science 2020-11-25 Tadashi Wadayama , Satoshi Takabe

Subspace identification methods (SIMs) have proven very powerful for estimating linear state-space models. To overcome the deficiencies of classical SIMs, a significant number of algorithms has appeared over the last two decades, where most…

Systems and Control · Electrical Eng. & Systems 2024-05-08 Jiabao He , Cristian R. Rojas , Håkan Hjalmarsson

Integrated sensing and communication (ISAC) has garnered significant attention in recent years. In this paper, we delve into the topic of sensing-assisted communication within ISAC systems. More specifically, a novel sensing-assisted…

Signal Processing · Electrical Eng. & Systems 2026-01-21 Shuhan Wang , Aimin Tang , Xudong Wang , Wenze Qu

We investigate the performance of distributed least-mean square (LMS) algorithms for parameter estimation over sensor networks where the regression data of each node are corrupted by white measurement noise. Under this condition, we show…

Systems and Control · Computer Science 2016-11-18 Reza Abdolee , Benoit Champagne

By treating intervals as inseparable sets, this paper proposes sparse machine learning regressions for high-dimensional interval-valued time series. With LASSO or adaptive LASSO techniques, we develop a penalized minimum distance…

Econometrics · Economics 2024-11-15 Haowen Bao , Yongmiao Hong , Yuying Sun , Shouyang Wang

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

We propose a novel sparse sliced inverse regression method based on random projections in a large $p$ small $n$ setting. Embedded in a generalized eigenvalue framework, the proposed approach finally reduces to parallel execution of…

Methodology · Statistics 2023-08-04 Jia Zhang , Runxiong Wu , Xin Chen

In a recent paper, the authors proposed a new class of low-complexity iterative thresholding algorithms for reconstructing sparse signals from a small set of linear measurements \cite{DMM}. The new algorithms are broadly referred to as AMP,…

Information Theory · Computer Science 2009-11-24 David L. Donoho , Arian Maleki , Andrea Montanari

Sparse channel estimation for massive multiple-input multiple-output systems has drawn much attention in recent years. The required pilots are substantially reduced when the sparse channel state vectors can be reconstructed from a few…

Information Theory · Computer Science 2021-02-17 Pengxia Wu , Hui Ma , Julian Cheng

A large-scale MIMO (multiple-input multiple-output) system offers significant advantages in wireless communication, including potential spatial multiplexing and beamforming capabilities. However, channel estimation becomes challenging with…

Signal Processing · Electrical Eng. & Systems 2024-10-10 Özlem Tuğfe Demir , Emil Björnson

We address the numerical solution of minimal norm residuals of {\it nonlinear} equations in finite dimensions. We take inspiration from the problem of finding a sparse vector solution by using greedy algorithms based on iterative residual…

Numerical Analysis · Mathematics 2015-04-28 Juliane Sigl

In this letter, we propose an algorithm for recovery of sparse and low rank components of matrices using an iterative method with adaptive thresholding. In each iteration, the low rank and sparse components are obtained using a thresholding…

Numerical Analysis · Computer Science 2017-04-13 Nematollah Zarmehi , Farokh Marvasti