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In linear regression, the least squares (LS) estimator has certain optimality properties if the errors are normally distributed. This assumption is often violated in practice, partly caused by data outliers. Robust estimators can cope with…

统计方法学 · 统计学 2020-07-01 Sukru Acitas , Peter Filzmoser , Birdal Senoglu

This paper considers the channel estimation of a single user in a MISO system with an intelligent reflecting surface (IRS). The performances of the minimum variance unbiased (MVU) and minimum mean square error (MMSE) estimators using the…

信息论 · 计算机科学 2023-09-01 Rıfat Volkan Şenyuva

Reconfigurable intelligent surface (RIS) is a promising technique to improve the performance of future wireless communication systems at low energy consumption. To reap the potential benefits of RIS-aided beamforming, it is vital to enhance…

信息论 · 计算机科学 2024-04-01 Zhenyao He , Jindan Xu , Hong Shen , Wei Xu , Chau Yuen , Marco Di Renzo

Learning depends on the ability to acquire and assimilate new information. This ability depends---somewhat counterintuitively---on the ability to forget. In particular, effective forgetting requires the ability to recognize and utilize new…

最优化与控制 · 数学 2021-04-05 Ankit Goel , Adam L. Bruce , Dennis S. Bernstein

This paper focuses on the problem of recursive nonlinear least squares parameter estimation in multi-agent networks, in which the individual agents observe sequentially over time an independent and identically distributed (i.i.d.)…

最优化与控制 · 数学 2016-10-20 Anit Kumar Sahu , Soummya Kar , Jose' M. F. Moura , H. Vincent Poor

This paper proposes a recursive interval-valued estimation framework for identifying the parameters of linearly parameterized systems which may be slowly time-varying. It is assumed that the model error (which may consist in measurement…

系统与控制 · 电气工程与系统科学 2022-06-22 Laurent Bako , Seydi Ndiaye , Eric Blanco

Traditionally, batch least squares (BLS) and recursive least squares (RLS) are used for identification of a vector of parameters that form a linear model. In some situations, however, it is of interest to identify parameters in a matrix…

信号处理 · 电气工程与系统科学 2024-06-11 Brian Lai , Dennis S. Bernstein

Distributed adaptive signal processing has attracted much attention in the recent decade owing to its effectiveness in many decentralized real-time applications in networked systems. Because many natural signals are highly sparse with most…

最优化与控制 · 数学 2017-11-22 Xuanyu Cao , K. J. Ray Liu

Least mean square (LMS) type adaptive algorithms have attracted much attention due to their low computational complexity. In the scenarios of sparse channel estimation, zero-attracting LMS (ZA-LMS), reweighted ZA-LMS (RZA-LMS) and…

系统与控制 · 计算机科学 2015-04-14 Beiyi Liu , Guan Gui , Li Xu

High-dimensional time-series data are becoming increasingly abundant across a wide variety of domains, spanning economics, neuroscience, particle physics, and cosmology. Fitting statistical models to such data, to enable parameter…

We consider the problem of reconstructing rank-one matrices from random linear measurements, a task that appears in a variety of problems in signal processing, statistics, and machine learning. In this paper, we focus on the Alternating…

机器学习 · 计算机科学 2022-04-26 Kiryung Lee , Dominik Stöger

We address the problem of sparse recovery in an online setting, where random linear measurements of a sparse signal are revealed sequentially and the objective is to recover the underlying signal. We propose a reweighted least squares (RLS)…

机器学习 · 计算机科学 2017-06-30 Subhadip Mukherjee , Deepak R. , Huaijin Chen , Ashok Veeraraghavan , Chandra Sekhar Seelamantula

This paper extends recursive least squares (RLS) to include time-varying regularization. This extension provides flexibility for updating the least squares regularization term in real time. Existing results with constant regularization…

信号处理 · 电气工程与系统科学 2025-01-09 Brian Lai , Dimitra Panagou , Dennis S. Bernstein

This paper introduces two novel approaches for Online Multi-Task Learning (MTL) Regression Problems. We employ a high performance graph-based MTL formulation and develop two alternative recursive versions based on the Weighted Recursive…

机器学习 · 统计学 2024-03-19 Gabriel R. Lencione , Fernando J. Von Zuben

The recursive least-squares algorithm with $\ell_1$-norm regularization ($\ell_1$-RLS) exhibits excellent performance in terms of convergence rate and steady-state error in identification of sparse systems. Nevertheless few works have…

信号处理 · 电气工程与系统科学 2022-02-02 Wei Gao , Jie Chen , Cédric Richard , Wentao Shi , Qunfei Zhang

This paper presents subspace of information forgetting recursive least squares (SIFt-RLS), a directional forgetting algorithm which, at each step, forgets only in row space of the regressor matrix, or the \textit{information subspace}. As a…

信号处理 · 电气工程与系统科学 2024-04-18 Brian Lai , Dennis S. Bernstein

Recently, the proposal of the least mean square (LMS) and recursive least squares (RLS) algorithm for graph signal processing (GSP) provides excellent solutions for processing signals defined on irregular structures such as sensor networks.…

信号处理 · 电气工程与系统科学 2025-06-03 Haiquan Zhao , Chengjin Li

In order to improve the performance of Least Mean Square (LMS) based system identification of sparse systems, a new adaptive algorithm is proposed which utilizes the sparsity property of such systems. A general approximating approach on…

信息论 · 计算机科学 2015-06-15 Yuantao Gu , Jian Jin , Shunliang Mei

In this paper, we study the problem of multipath channel estimation for direct sequence spread spectrum signals. To resolve multipath components arriving within a short interval, we propose a new algorithm called the least-squares based…

信息论 · 计算机科学 2015-03-19 Wooseok Nam , Seung-Hyun Kong

Sparse adaptive filtering has gained much attention due to its wide applicability in the field of signal processing. Among the main algorithm families, sparse norm constraint adaptive filters develop rapidly in recent years. However, when…

系统与控制 · 计算机科学 2015-09-29 Yong Feng , Fei Chen , Rui Zeng , Jiasong Wu , Huazhong Shu