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Iterative algorithms are ubiquitous in the field of data mining. Widely known examples of such algorithms are the least mean square algorithm, backpropagation algorithm of neural networks. Our contribution in this paper is an improvement…

机器学习 · 计算机科学 2013-10-09 Rangeet Mitra , Amit Kumar Mishra

In this paper, we propose a sparse signal estimation algorithm that is suitable for many wireless communication systems, especially for the future millimeter wave and underwater communication systems. This algorithm is not only…

信息论 · 计算机科学 2018-07-20 Chongwen Huang , Lei Liu , Chau Yuen

In this paper, we propose a novel algorithm for analysis-based sparsity reconstruction. It can solve the generalized problem by structured sparsity regularization with an orthogonal basis and total variation regularization. The proposed…

计算机视觉与模式识别 · 计算机科学 2015-04-29 Chen Chen , Junzhou Huang , Lei He , Hongsheng Li

We analyze an Iteratively Re-weighted Least Squares (IRLS) algorithm for promoting l1-minimization in sparse and compressible vector recovery. We prove its convergence and we estimate its local rate. We show how the algorithm can be…

数值分析 · 数学 2008-07-04 Ingrid Daubechies , Ronald DeVore , Massimo Fornasier , C. Sinan Gunturk

An interference-normalised least mean square (INLMS) algorithm for robust adaptive filtering is proposed. The INLMS algorithm extends the gradient-adaptive learning rate approach to the case where the signals are non-stationary. In…

系统与控制 · 计算机科学 2016-02-29 Jean-Marc Valin , Iain B. Collings

In this paper, we consider a squared $L_1/L_2$ regularized model for sparse signal recovery from noisy measurements. We first establish the existence of optimal solutions to the model under mild conditions. Next, we propose a proximal…

最优化与控制 · 数学 2025-11-10 Na Zhang , Hong Chen , Qia Li , Junpeng Zhou

An efficient nonlinear contrast source inversion scheme for electromagnetic imaging of sparse two-dimensional investigation domains is proposed. To avoid generating a sequence of linear sparse optimization problems, the non-linearity is…

信号处理 · 电气工程与系统科学 2021-04-13 Ali I. Sandhu , Abdulla Desmal , Hakan Bagci

For the linear inverse problem with sparsity constraints, the $l_0$ regularized problem is NP-hard, and existing approaches either utilize greedy algorithms to find almost-optimal solutions or to approximate the $l_0$ regularization with…

机器学习 · 计算机科学 2024-02-14 Qinghua Tao , Xiangming Xi , Jun Xu , Johan A. K. Suykens

A new algorithm for 3D localization in multiplatform radar networks, comprising one transmitter and multiple receivers, is proposed. To take advantage of the monostatic sensor radiation pattern features, ad-hoc constraints are imposed in…

信号处理 · 电气工程与系统科学 2022-04-06 Augusto Aubry , Paolo Braca , Antonio De Maio , Angela Marino

We present a framework for the design of low-complexity and high-performance receivers for multidimensional overloaded NOMA systems. The framework is built upon a novel compressive sensing (CS) regularized maximum likelihood formulation of…

The classical iteratively reweighted least-squares (IRLS) algorithm aims to recover an unknown signal from linear measurements by performing a sequence of weighted least squares problems, where the weights are recursively updated at each…

机器学习 · 统计学 2024-06-06 Chiraag Kaushik , Justin Romberg , Vidya Muthukumar

Feature selection is a technique to screen out less important features. Many existing supervised feature selection algorithms use redundancy and relevancy as the main criteria to select features. However, feature interaction, potentially a…

机器学习 · 统计学 2015-06-11 Wittawat Jitkrittum , Hirotaka Hachiya , Masashi Sugiyama

It is now well understood that (1) it is possible to reconstruct sparse signals exactly from what appear to be highly incomplete sets of linear measurements and (2) that this can be done by constrained L1 minimization. In this paper, we…

统计方法学 · 统计学 2007-11-13 Emmanuel J. Candes , Michael B. Wakin , Stephen P. Boyd

We develop a Recursive $\mathcal{L}_1$-Regularized Least Squares (SPARLS) algorithm for the estimation of a sparse tap-weight vector in the adaptive filtering setting. The SPARLS algorithm exploits noisy observations of the tap-weight…

信息论 · 计算机科学 2009-01-08 Behtash Babadi , Nicholas Kalouptsidis , Vahid Tarokh

To incorporate prior knowledge as well as measurement uncertainties in the traditional long short term memory (LSTM) neural networks, an efficient sparse Bayesian training algorithm is introduced to the network architecture. The proposed…

机器学习 · 计算机科学 2021-06-25 Bram van de Weg , Lars Greve , Bojana Rosic

We compute approximate solutions to L0 regularized linear regression using L1 regularization, also known as the Lasso, as an initialization step. Our algorithm, the Lass-0 ("Lass-zero"), uses a computationally efficient stepwise search to…

机器学习 · 统计学 2016-02-18 William Herlands , Maria De-Arteaga , Daniel Neill , Artur Dubrawski

In this paper, a fast algorithm for overcomplete sparse decomposition, called SL0, is proposed. The algorithm is essentially a method for obtaining sparse solutions of underdetermined systems of linear equations, and its applications…

信息论 · 计算机科学 2009-11-13 Hossein Mohimani , Massoud Babaie-Zadeh , Christian Jutten

We consider the problem of estimating the parameters of a Gaussian or binary distribution in such a way that the resulting undirected graphical model is sparse. Our approach is to solve a maximum likelihood problem with an added l_1-norm…

人工智能 · 计算机科学 2007-07-06 Onureena Banerjee , Laurent El Ghaoui , Alexandre d'Aspremont

Wideband spectrum sensing is an essential part of cognitive radio systems. Exact spectrum estimation is usually inefficient as it requires sampling rates at or above the Nyquist rate. Using prior information on the structure of the signal…

信息论 · 计算机科学 2018-03-14 Lampros Flokas , Petros Maragos

Conventional algorithms for sparse signal recovery and sparse representation rely on $l_1$-norm regularized variational methods. However, when applied to the reconstruction of $\textit{sparse images}$, i.e., images where only a few pixels…

计算机视觉与模式识别 · 计算机科学 2016-05-09 Sohil Shah , Tom Goldstein , Christoph Studer