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Zero-attracting least-mean-square (ZA-LMS) algorithm has been widely used for online sparse system identification. It combines the LMS framework and $\ell_1$-norm regularization to promote sparsity, and relies on subgradient iterations.…

Performance · Computer Science 2016-12-21 Jie Chen , Cedric Richard , Yingying Song , David Brie

Partial least squares (PLS) regression combines dimensionality reduction and prediction using a latent variable model. Since partial least squares regression (PLS-R) does not require matrix inversion or diagonalization, it can be applied to…

Methodology · Statistics 2014-08-05 Tzu-Yu Liu , Laura Trinchera , Arthur Tenenhaus , Dennis Wei , Alfred O. Hero

The latent block model is used to simultaneously rank the rows and columns of a matrix to reveal a block structure. The algorithms used for estimation are often time consuming. However, recent work shows that the log-likelihood ratios are…

Statistics Theory · Mathematics 2023-03-10 Vincent Brault , Antoine Channarond

Recent work has demonstrated that using a carefully designed dictionary instead of a predefined one, can improve the sparsity in jointly representing a class of signals. This has motivated the derivation of learning methods for designing a…

Information Theory · Computer Science 2010-05-04 Kevin Rosenblum , Lihi Zelnik-Manor , Yonina C. Eldar

A distributed adaptive algorithm is proposed to solve a node-specific parameter estimation problem where nodes are interested in estimating parameters of local interest, parameters of common interest to a subset of nodes and parameters of…

Computers and Society · Computer Science 2023-07-19 Jorge Plata-Chaves , Nikola Bogdanovic , Kostas Berberidis

We propose a new technique for adaptive identification of sparse systems based on the compressed sensing (CS) theory. We manipulate the transmitted pilot (input signal) and the received signal such that the weights of adaptive filter…

Information Theory · Computer Science 2012-04-05 Seyed Hossein Hosseini , Mahrokh G. Shayesteh

This paper proposes a new interpretation of sparse penalties such as the elastic-net and the group-lasso. Beyond providing a new viewpoint on these penalization schemes, our approach results in a unified optimization strategy. Our…

Machine Learning · Statistics 2017-07-20 Yves Grandvalet , Julien Chiquet , Christophe Ambroise

Channel estimation problem is one of the key technical issues in time-variant multiple-input single-output (MSIO) communication systems. To estimate the MISO channel, least mean square (LMS) algorithm is applied to adaptive channel…

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

Limited by fixed step-size and sparsity penalty factor, the conventional sparsity-aware normalized subband adaptive filtering (NSAF) type algorithms suffer from trade-off requirements of high filtering accurateness and quicker convergence…

Systems and Control · Electrical Eng. & Systems 2024-10-28 Dongxu Liu , Haiquan Zhao , Yang Zhou

Cluster-sparse channels often exist in frequencyselective fading broadband communication systems. The main reason is received scattered waveform exhibits cluster structure which is caused by a few reflectors near the receiver. Conventional…

Information Theory · Computer Science 2014-07-24 Guan Gui , Li Xu , Lin Shan

We propose an sparse Bayesian learning (SBL)-based method that leverages group sparsity and multiple parameterized dictionaries to detect the relevant dictionary entries and estimate their continuous parameters by combining data from…

Signal Processing · Electrical Eng. & Systems 2025-11-05 Jakob Möderl , Anders Malte Westerkam , Alexander Venus , Erik Leitinger

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

To estimate multiple-input multiple-output (MIMO) channels, invariable step-size normalized least mean square (ISSNLMS) algorithm was applied to adaptive channel estimation (ACE). Since the MIMO channel is often described by sparse channel…

Information Theory · Computer Science 2013-11-07 Guan Gui , Shinya kumagai , Fumiyuki Adachi

Block sparsity is a widely exploited structure in sparse recovery, offering significant gains when signal blocks are known. Yet, practical signals often exhibit unknown block boundaries and isolated non-zero entries, which challenge…

Signal Processing · Electrical Eng. & Systems 2026-02-05 Yanbin He , Geethu Joseph

The classical sparse parameter identification methods are usually based on the iterative basis selection such as greedy algorithms, or the numerical optimization of regularized cost functions such as LASSO and Bayesian posterior probability…

Systems and Control · Electrical Eng. & Systems 2026-05-05 Yanxin Fu , Wenxiao Zhao

Nonnegative matrix factorization (NMF) has become a ubiquitous tool for data analysis. An important variant is the sparse NMF problem which arises when we explicitly require the learnt features to be sparse. A natural measure of sparsity is…

Machine Learning · Computer Science 2013-03-20 Vamsi K. Potluru , Sergey M. Plis , Jonathan Le Roux , Barak A. Pearlmutter , Vince D. Calhoun , Thomas P. Hayes

A new maximum approximate likelihood (ML) estimation algorithm for the mixture of Kent distribution is proposed. The new algorithm is constructed via the BSLM (block successive lower-bound maximization) framework and incorporates manifold…

Computation · Statistics 2017-09-15 Hien D. Nguyen

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

We introduce a novel family of adaptive filtering algorithms based on a relative logarithmic cost. The new family intrinsically combines the higher and lower order measures of the error into a single continuous update based on the error…

Machine Learning · Computer Science 2015-06-18 Muhammed O. Sayin , N. Denizcan Vanli , Suleyman S. Kozat

In this paper, we study the system identification problem for sparse linear time-invariant systems. We propose a sparsity promoting block-regularized estimator to identify the dynamics of the system with only a limited number of input-state…

Systems and Control · Computer Science 2018-08-28 Salar Fattahi , Somayeh Sojoudi