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Simultaneous sparse approximation (SSA) seeks to represent a set of dependent signals using sparse vectors with identical supports. The SSA model has been used in various signal and image processing applications involving multiple…

计算机视觉与模式识别 · 计算机科学 2022-03-21 Farshad G. Veshki , Sergiy A. Vorobyov

The aim of sparse approximation is to estimate a sparse signal according to the measurement matrix and an observation vector. It is widely used in data analytics, image processing, and communication, etc. Up to now, a lot of research has…

信号处理 · 电气工程与系统科学 2018-05-31 Hao Wang , Ruibin Feng , Chi-Sing Leung

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

This paper addresses the problem of deriving the asymptotic performance of adaptive Low Rank (LR) filters used in target detection embedded in a disturbance composed of a LR Gaussian noise plus a white Gaussian noise. In this context, we…

应用统计 · 统计学 2015-03-19 Alice Combernoux , Frederic Pascal , Guillaume Ginolhac , Marc Lesturgie

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…

系统与控制 · 计算机科学 2016-08-04 Lampros Flokas , Petros Maragos

Nonnegative matrix factorization (NMF) is a prominent technique for data dimensionality reduction that has been widely used for text mining, computer vision, pattern discovery, and bioinformatics. In this paper, a framework called ARkNLS…

数值分析 · 数学 2020-07-14 Delin Chu , Wenya Shi , Srinivas Eswar , Haesun Park

We study sparse signal recovery from noisy linear observations using nonconvex log-sum regularization. The log-sum penalty reduces the shrinkage bias of $\ell_1$ regularization and more closely approximates the $\ell_0$ regularization, but…

信息论 · 计算机科学 2026-05-12 Keisuke Morita , Masayuki Ohzeki

This paper introduces a novel constraint adaptive filtering algorithm based on a relative logarithmic cost function which is termed as Constrained Least Mean Logarithmic Square (CLMLS). The proposed CLMLS algorithm elegantly adjusts the…

系统与控制 · 计算机科学 2018-01-22 Vinay Chakravarthi Gogineni , Subrahmanyam Mula

In this paper, a new family of proportionate normalized least mean square (PNLMS) adaptive algorithms that improve the performance of identifying block-sparse systems is proposed. The main proposed algorithm, called block-sparse PNLMS…

信息论 · 计算机科学 2015-12-01 Jianming Liu , Steven L. Grant

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

In this paper, the recursive least squares (RLS) algorithm is considered in the sparse system identification setting. The cost function of RLS algorithm is regularized by a $p$-norm-like ($0 \leq p \leq 1$) constraint of the estimated…

信息论 · 计算机科学 2023-12-12 Shuyang Jiang , Kung Yao

Despite the efficacy of network sparsity in alleviating the deployment strain of Large Language Models (LLMs), it endures significant performance degradation. Applying Low-Rank Adaptation (LoRA) to fine-tune the sparse LLMs offers an…

机器学习 · 计算机科学 2025-02-21 Weizhong Huang , Yuxin Zhang , Xiawu Zheng , Yang Liu , Jing Lin , Yiwu Yao , Rongrong Ji

Traditionally, adaptive filters have been deployed to achieve AEC by estimating the acoustic echo response using algorithms such as the Normalized Least-Mean-Square (NLMS) algorithm. Several approaches have been proposed over recent years…

声音 · 计算机科学 2022-01-19 Urmila Shrawankar

We propose a new variant of nonnegative matrix factorization (NMF), combining separability and sparsity assumptions. Separability requires that the columns of the first NMF factor are equal to columns of the input matrix, while sparsity…

机器学习 · 计算机科学 2020-06-16 Nicolas Nadisic , Arnaud Vandaele , Jeremy E. Cohen , Nicolas Gillis

Random Feature Models (RFMs) have become a powerful tool for approximating multivariate functions and solving partial differential equations efficiently. Sparse Random Feature Expansions (SRFE) improve traditional RFMs by incorporating…

数值分析 · 数学 2026-03-20 Ben Adcock , Khiem Can , Xuemeng Wang

Low dimensional nonlinear structure abounds in datasets across computer vision and machine learning. Kernelized matrix factorization techniques have recently been proposed to learn these nonlinear structures for denoising, classification,…

机器学习 · 计算机科学 2021-06-01 Jicong Fan , Chengrun Yang , Madeleine Udell

Compressive sensing claims that the sparse signals can be reconstructed exactly from many fewer measurements than traditionally believed necessary. One of issues ensuring the successful compressive sensing is to deal with the…

信息论 · 计算机科学 2009-03-31 Lianlin Li , Fang Li

The SLAM problem is known to have a special property that when robot orientation is known, estimating the history of robot poses and feature locations can be posed as a standard linear least squares problem. In this work, we develop a SLAM…

机器人学 · 计算机科学 2016-09-20 Saurav Agarwal , Vikram Shree , Suman Chakravorty

In the theory of compressed sensing (CS), the sparsity $\|x\|_0$ of the unknown signal $\mathbf{x} \in \mathcal{R}^n$ is of prime importance and the focus of reconstruction algorithms has mainly been either $\|x\|_0$ or its convex…

信息论 · 计算机科学 2016-05-17 Mithun Das Gupta

Efficient estimation of wideband spectrum is of great importance for applications such as cognitive radio. Recently, sub-Nyquist sampling schemes based on compressed sensing have been proposed to greatly reduce the sampling rate. However,…

信号处理 · 电气工程与系统科学 2018-05-23 Haoyu Fu , Yuejie Chi
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