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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…

Numerical Analysis · Mathematics 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…

Machine Learning · Statistics 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…

Information Theory · Computer Science 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…

Numerical Analysis · Mathematics 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…

Optimization and Control · Mathematics 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…

Machine Learning · Statistics 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…

Numerical Analysis · Mathematics 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…

Computational Engineering, Finance, and Science · Computer Science 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…

Emerging Technologies · Computer Science 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…

Information Theory · Computer Science 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…

Machine Learning · Statistics 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…

Methodology · Statistics 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…

Signal Processing · Electrical Eng. & Systems 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…

Data Analysis, Statistics and Probability · Physics 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…

Information Theory · Computer Science 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…

Information Theory · Computer Science 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,…

Signal Processing · Electrical Eng. & Systems 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…

Machine Learning · Statistics 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 $\sum_{i=1}^M f_i(x)$,…

Machine Learning · Computer Science 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…

Numerical Analysis · Mathematics 2016-01-19 Yariv Aizenbud , Gil Shabat , Amir Averbuch
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