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We consider the least-squares regression problem and provide a detailed asymptotic analysis of the performance of averaged constant-step-size stochastic gradient descent (a.k.a. least-mean-squares). In the strongly-convex case, we provide…

Machine Learning · Computer Science 2014-12-02 Alexandre Défossez , Francis Bach

This paper proposes a sparse regression method that continuously interpolates between Forward Stepwise selection (FS) and the LASSO. When tuned appropriately, our solutions are much sparser than typical LASSO fits but, unlike FS fits,…

Methodology · Statistics 2024-11-20 Ivy Zhang , Robert Tibshirani

Recently, quaternion-valued signal processing has received more and more attention. In this paper, the quaternion-valued sparse system identification problem is studied for the first time and a zero-attracting quaternion-valued least mean…

Numerical Analysis · Mathematics 2014-06-24 Mengdi Jiang , Wei Liu , Yi Li

In the last decade, a considerable research effort has been devoted to developing adaptive algorithms based on kernel functions. One of the main features of these algorithms is that they form a family of universal approximation techniques,…

Signal Processing · Electrical Eng. & Systems 2018-08-21 A. Flores , R. C. de Lamare

Functional partial least squares (FPLS) is commonly used for fitting scalar-on-function regression models. For the sake of accuracy, FPLS demands that each realization of the functional predictor is recorded as densely as possible over the…

Methodology · Statistics 2020-07-14 Zhiyang Zhou , Richard A. Lockhart

Feature selection is a crucial step in machine learning, especially for high-dimensional datasets, where irrelevant and redundant features can degrade model performance and increase computational costs. This paper proposes a novel…

Neural and Evolutionary Computing · Computer Science 2024-10-30 Azam Asilian Bidgoli , Shahryar Rahnamayan

This paper presents a new adaptive algorithm for the linearly constrained minimum variance (LCMV) beamformer design. We incorporate the set-membership filtering (SMF) mechanism into the reduced-rank joint iterative optimization (JIO) scheme…

Information Theory · Computer Science 2013-02-19 Lei Wang , Rodrigo C. de Lamare

Recently, the leaky diffusion least-mean-square (DLMS) algorithm has obtained much attention because of its good performance for high input eigenvalue spread and low signal-to-noise ratio (SNR). However, the leaky DLMS algorithm may suffer…

Signal Processing · Electrical Eng. & Systems 2018-11-01 Long Shi , Haiquan Zhao

Many biomedical studies have identified important imaging biomarkers that are associated with both repeated clinical measures and a survival outcome. The functional joint model (FJM) framework, proposed in Li and Luo (2017), investigates…

Methodology · Statistics 2021-09-24 Yue Wang , Joseph Ibrahim , Hongtu Zhu

The newly proposed $l_1$ norm constraint zero-point attraction Least Mean Square algorithm (ZA-LMS) demonstrates excellent performance on exact sparse system identification. However, ZA-LMS has less advantage against standard LMS when the…

Information Theory · Computer Science 2013-03-12 Jian Jin , Qing Qu , Yuantao Gu

In this paper, we present a diffusion multi-rate least-mean-square (LMS) algorithm, named DMLMS, which is an effective solution for distributed estimation when two or more observation sequences are available with different sampling rates.…

Systems and Control · Computer Science 2020-03-31 Lu Lu , Xiaomin Yang , Rongzhu Zhang

The paper explores in detail the use of dynamic adaptation gain/step size (DAG) for improving the adaptation transient performance of variable step-size LMS (VS-LMS) adaptation algorithms. A generic form for the implementation of the DAG…

Optimization and Control · Mathematics 2024-03-21 Tudor-Bogdan Airimitoaie , Bernard Vau , Dariusz Bismor , Gabriel Buche , Ioan Doré Landau

Recursive least squares (RLS) is derived as the recursive minimizer of the least-squares cost function. Moreover, it is well known that RLS is a special case of the Kalman filter. This work presents the Kalman filter least squares (KFLS)…

Systems and Control · Electrical Eng. & Systems 2024-04-18 Brian Lai , Dennis S. Bernstein

This work presents a new variation of the commonly used Least Mean Squares Algorithm (LMS) for the identification of sparse signals with an a-priori known sparsity using a hard threshold operator in every iteration. It examines some useful…

Systems and Control · Computer Science 2016-08-04 Lampros Flokas , Petros Maragos

Some system identification problems impose nonnegativity constraints on the parameters to estimate due to inherent physical characteristics of the unknown system. The nonnegative least-mean-square (NNLMS) algorithm and its variants allow to…

Numerical Analysis · Computer Science 2015-08-25 Jingen Ni , Jian Yang , Jie Chen , Cédric Richard , José Carlos M. Bermudez

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

In order to improve the least mean squares (LMS) adaptation algorithm to accommodate the nonlinear transfer function, and to adjust the coefficients of adaptive filter during the actual implement of bias voltage and signal amplitude,…

Signal Processing · Electrical Eng. & Systems 2022-07-26 Zhengyang Zhang

A number of recent emerging applications call for studying data streams, potentially infinite flows of information updated in real-time. When multiple co-evolving data streams are observed, an important task is to determine how these…

Statistical Finance · Quantitative Finance 2009-02-08 Giovanni Montana , Kostas Triantafyllopoulos , Theodoros Tsagaris

In order to function reliably, synthetic molecular circuits require mechanisms that allow them to adapt to environmental disturbances. Least mean squares (LMS) schemes, such as commonly encountered in signal processing and control, provide…

Molecular Networks · Quantitative Biology 2017-01-04 Christoph Zechner , Mustafa Khammash

Partial Least Squares (PLS) methods have been heavily exploited to analyse the association between two blocs of data. These powerful approaches can be applied to data sets where the number of variables is greater than the number of…

Machine Learning · Statistics 2017-02-24 Pierre Lafaye de Micheaux , Benoit Liquet , Matthew Sutton