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In this paper, we show a way to exploit sparsity in the problem data in a primal-dual potential reduction method for solving a class of semidefinite programs. When the problem data is sparse, the dual variable is also sparse, but the primal…

数值分析 · 数学 2025-10-20 Gun Srijuntongsiri , Stephen A. Vavasis

This paper proposes a new algorithm for multiple sparse regression in high dimensions, where the task is to estimate the support and values of several (typically related) sparse vectors from a few noisy linear measurements. Our algorithm is…

机器学习 · 统计学 2012-06-08 Ali Jalali , Sujay Sanghavi

Since most components of sparse multi-path channel (SMPC) are zero, impulse response of SMPC can be recovered from a short training sequence. Though the ordinary orthogonal matching pursuit (OMP) algorithm provides a very fast…

信息论 · 计算机科学 2010-05-24 Ruiming Yang , Qun Wan , Yipeng Liu , Wanlin Yang

This work investigates the use of sparse polynomial interpolation as a model order reduction method for the incompressible Navier-Stokes equations. Numerical results are presented underscoring the validity of sparse polynomial…

数值分析 · 数学 2022-01-11 Martin W. Hess , Gianluigi Rozza

The need for fast sparse optimization is emerging, e.g., to deal with large-dimensional data-driven problems and to track time-varying systems. In the framework of linear sparse optimization, the iterative shrinkage-thresholding algorithm…

最优化与控制 · 数学 2025-01-22 Vito Cerone , Sophie M. Fosson , Diego Regruto

This paper introduces a new sparse spatio-temporal structured Gaussian process regression framework for online and offline Bayesian inference. This is the first framework that gives a time-evolving representation of the interdependencies…

机器学习 · 统计学 2018-08-01 Danil Kuzin , Olga Isupova , Lyudmila Mihaylova

In this paper, a method via sparse-sparse iteration for computing a sparse incomplete factorization of the inverse of a symmetric positive definite matrix is proposed. The resulting factorized sparse approximate inverse is used as a…

数值分析 · 数学 2008-08-03 Davod Khojasteh Salkuyeh , Faezeh Toutounian

Sparse Tensor Cores offer exceptional performance gains for AI workloads by exploiting structured 2:4 sparsity. However, their potential remains untapped for core scientific workloads such as stencil computations, which exhibit irregular…

计算工程、金融与科学 · 计算机科学 2025-07-01 Qi Li , Kun Li , Haozhi Han , Liang Yuan , Junshi Chen , Yunquan Zhang , Yifeng Chen , Hong An , Ting Cao , Mao Yang

Sparse linear system solvers are computationally expensive kernels that lie at the heart of numerous applications. This paper proposes a flexible preconditioning framework to substantially reduce the time and energy requirements of this…

新兴技术 · 计算机科学 2021-07-16 Vasileios Kalantzis , Anshul Gupta , Lior Horesh , Tomasz Nowicki , Mark S. Squillante , Chai Wah Wu

We propose new compressive parameter estimation algorithms that make use of polar interpolation to improve the estimator precision. Our work extends previous approaches involving polar interpolation for compressive parameter estimation in…

信息论 · 计算机科学 2016-11-17 Karsten Fyhn , Marco F. Duarte , Søren Holdt Jensen

Inducing-point-based sparse variational Gaussian processes have become the standard workhorse for scaling up GP models. Recent advances show that these methods can be improved by introducing a diagonal scaling matrix to the conditional…

机器学习 · 统计学 2025-07-04 Thang D. Bui , Michalis K. Titsias

Sparse structure learning in high-dimensional Gaussian graphical models is an important problem in multivariate statistical signal processing; since the sparsity pattern naturally encodes the conditional independence relationship among…

统计方法学 · 统计学 2023-09-26 Ksheera Sagar , Jyotishka Datta , Sayantan Banerjee , Anindya Bhadra

This paper considers the design of tunable decision schemes capable of rejecting with high probability mismatched signals embedded in Gaussian interference with unknown covariance matrix. To this end, a sparse recovery technique is…

信号处理 · 电气工程与系统科学 2020-04-29 Sudan Han , Luca Pallotta , Xiaotao Huang , Gaetano Giunta , Danilo Orlando

We discuss a method for sparse signal approximation, which is based on the correlation of the target signal with a pseudo-random signal, and uses a modification of the greedy matching pursuit algorithm. We show that this approach provides…

数据分析、统计与概率 · 物理学 2011-05-26 M. Andrecut

It is known that certain structures of the signal in addition to the standard notion of sparsity (called structured sparsity) can improve the sample complexity in several compressive sensing applications. Recently, Hegde et al. proposed a…

信息论 · 计算机科学 2017-01-23 Lingxiao Huang , Yifei Jin , Jian Li , Haitao Wang

We propose a new iterative greedy algorithm for reconstructions of sparse signals with or without noisy perturbations in compressed sensing. The proposed algorithm, called \emph{subspace thresholding pursuit} (STP) in this paper, is a…

信息论 · 计算机科学 2014-05-22 Chao-Bing Song , Shu-Tao Xia , Xin-Ji Liu

The problem of super-resolution compressive sensing (SR-CS) is crucial for various wireless sensing and communication applications. Existing methods often suffer from limited resolution capabilities and sensitivity to hyper-parameters,…

信号处理 · 电气工程与系统科学 2025-08-12 Yufan Zhou , Jingyi Li , Wenkang Xu , An Liu

Approximate Bayesian inference methods that scale to very large datasets are crucial in leveraging probabilistic models for real-world time series. Sparse Markovian Gaussian processes combine the use of inducing variables with efficient…

机器学习 · 统计学 2021-06-10 William J. Wilkinson , Arno Solin , Vincent Adam

Asynchronous parallel computing and sparse recovery are two areas that have received recent interest. Asynchronous algorithms are often studied to solve optimization problems where the cost function takes the form $\sum_{i=1}^M f_i(x)$,…

机器学习 · 计算机科学 2017-01-16 Deanna Needell , Tina Woolf

A fast algorithm for the approximation of a low rank LU decomposition is presented. In order to achieve a low complexity, the algorithm uses sparse random projections combined with FFT-based random projections. The asymptotic approximation…

数值分析 · 数学 2016-01-19 Yariv Aizenbud , Gil Shabat , Amir Averbuch