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In this paper, we address the sparse multiple measurement vector (MMV) problem where the objective is to recover a set of sparse nonzero row vectors or indices of a signal matrix from incomplete measurements. Ideally, regardless of the…

信息论 · 计算机科学 2016-01-27 Kyung Su Kim , Sae-Young Chung

Optimization on the Stiefel manifold or with orthogonality constraints is an important problem in many signal processing and data analysis applications such as Sparse Principal Component Analysis (SPCA). Algorithms such as the Riemannian…

最优化与控制 · 数学 2024-11-12 Tarmizi Adam

In this paper, we propose a model's sparse representation based on reduced mixed generalized multiscale finite element (GMsFE) basis methods for elliptic PDEs with random inputs. Mixed generalized multiscale finite element method (GMsFEM)…

数值分析 · 数学 2017-04-05 Lijian Jiang , Qiuqi Li

The problem of estimating a sparse channel, i.e. a channel with a few non-zero taps, appears in various areas of communications. Recently, we have developed an algorithm based on iterative alternating minimization which iteratively detects…

信息论 · 计算机科学 2013-08-27 Rad Niazadeh , Masoud Babaie-Zadeh , Christian Jutten

In this paper, we propose a sparse least squares (SLS) optimization model for solving multilinear equations, in which the sparsity constraint on the solutions can effectively reduce storage and computation costs. By employing variational…

最优化与控制 · 数学 2023-10-10 Xin Li , Ziyan Luo , Yang Chen

In this paper, we extend the previous method for solving inverse problems for steady-state equations using the Generalized Collage Theorem by searching for an approximation that not only minimizes the collage error but also maximizes the…

数值分析 · 数学 2019-11-11 Herb Kunze , Davide La Torre

The sparse Beyesian learning (also referred to as Bayesian compressed sensing) algorithm is one of the most popular approaches for sparse signal recovery, and has demonstrated superior performance in a series of experiments. Nevertheless,…

信息论 · 计算机科学 2015-01-21 Fuwei Li , Jun Fang , Huiping Duan , Zhi Chen , Hongbin Li

This paper addresses the problem of sparse phase retrieval, a fundamental inverse problem in applied mathematics, physics, and engineering, where a signal need to be reconstructed using only the magnitude of its transformation while phase…

机器学习 · 统计学 2025-04-15 The Tien Mai

In this paper, we propose two new algorithms for maximum-likelihood estimation (MLE) of high dimensional sparse covariance matrices. Unlike most of the state of-the-art methods, which either use regularization techniques or penalize the…

统计方法学 · 统计学 2023-05-12 Ghania Fatima , Prabhu Babu , Petre Stoica

The problem of sparse approximation and the closely related compressed sensing have received tremendous attention in the past decade. Primarily studied from the viewpoint of applied harmonic analysis and signal processing, there have been…

信息论 · 计算机科学 2018-10-23 Ali Çivril

The matching problem between two adjacency matrices can be formulated as the NP-hard quadratic assignment problem (QAP). Previous work on semidefinite programming (SDP) relaxations to the QAP have produced solutions that are often tight in…

最优化与控制 · 数学 2017-03-29 Jose F. S. Bravo Ferreira , Yuehaw Khoo , Amit Singer

This paper is about minimum cost constrained selection of inputs and outputs for generic arbitrary pole placement. The input-output set is constrained in the sense that the set of states that each input can influence and the set of states…

最优化与控制 · 数学 2018-01-11 Shana Moothedath , Prasanna Chaporkar , Madhu N. Belur

We consider the problem of optimal sparse output feedback controller synthesis for continuous linear time invariant systems when the feedback gain is static and subject to specified structural constraints. Introducing an additional term…

最优化与控制 · 数学 2015-06-23 Reza Arastoo , Nader Motee , Mayuresh V. Kothare

Current state-of-the-art solvers for mixed-integer programming (MIP) problems are designed to perform well on a wide range of problems. However, for many real-world use cases, problem instances come from a narrow distribution. This has…

最优化与控制 · 数学 2022-02-15 Charly Robinson La Rocca , Emma Frejinger , Jean-François Cordeau

We propose an iterative channel estimation algorithm based on the Least Square Estimation (LSE) and Sparse Message Passing (SMP) algorithm for the Millimeter Wave (mmWave) MIMO systems. The channel coefficients of the mmWave MIMO are…

信息论 · 计算机科学 2022-06-23 Chongwen Huang , Lei Liu , Chau Yuen , Sumei Sun

This paper deals with sparse phase retrieval, i.e., the problem of estimating a vector from quadratic measurements under the assumption that few components are nonzero. In particular, we consider the problem of finding the sparsest vector…

信息论 · 计算机科学 2014-02-25 Fabien Lauer , Henrik Ohlsson

In compressed sensing, the l0-norm minimization of sparse signal reconstruction is NP-hard. Recent work shows that compared with the best convex relaxation (l1-norm), nonconvex penalties can better approximate the l0-norm and can…

信号处理 · 电气工程与系统科学 2018-05-03 Hao Wang , Zhanglei Shi , Chi-Sing Leung , Hing Cheung So

We address the non-convex optimisation problem of finding a sparse matrix on the Stiefel manifold (matrices with mutually orthogonal columns of unit length) that maximises (or minimises) a quadratic objective function. Optimisation problems…

最优化与控制 · 数学 2021-10-04 Florian Bernard , Daniel Cremers , Johan Thunberg

The problem of finding a vector with the fewest nonzero elements that satisfies an underdetermined system of linear equations is an NP-complete problem that is typically solved numerically via convex heuristics or nicely-behaved non convex…

最优化与控制 · 数学 2012-05-03 Heinz H. Bauschke , D. Russell Luke , Hung M. Phan , Xianfu Wang

This paper presents a new variable selection approach integrated with Gaussian process (GP) regression. We consider a sparse projection of input variables and a general stationary covariance model that depends on the Euclidean distance…

机器学习 · 计算机科学 2020-08-26 Chiwoo Park , David J. Borth , Nicholas S. Wilson , Chad N. Hunter