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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

Compressive Sensing (CS) is a new paradigm for the efficient acquisition of signals that have sparse representation in a certain domain. Traditionally, CS has provided numerous methods for signal recovery over an orthonormal basis. However,…

信息论 · 计算机科学 2019-05-08 Jianchen Zhu , Shengjie Zhao , Qingjiang Shi , Gonzalo R. Arce

In this paper, we consider the problem of collaboratively estimating the sparsity pattern of a sparse signal with multiple measurement data in distributed networks. We assume that each node makes Compressive Sensing (CS) based measurements…

信息论 · 计算机科学 2012-11-29 Thakshila Wimalajeewa , Pramod K. Varshney

Sparse signal reconstruction algorithms have attracted research attention due to their wide applications in various fields. In this paper, we present a simple Bayesian approach that utilizes the sparsity constraint and a priori statistical…

统计理论 · 数学 2015-06-05 Ahmed A. Quadeer , Tareq Y. Al-Naffouri

We propose a method for variable selection in the intensity function of spatial point processes that combines sparsity-promoting estimation with noise-robust model selection. As high-resolution spatial data becomes increasingly available…

统计方法学 · 统计学 2025-10-30 Dominik Sturm , Ivo F. Sbalzarini

In a multiple measurement vector problem (MMV), where multiple signals share a common sparse support and are sampled by a common sensing matrix, we can expect joint sparsity to enable a further reduction in the number of required…

信息论 · 计算机科学 2015-06-03 Jong Min Kim , Ok Kyun Lee , Jong Chul Ye

The cosparse analysis model has been introduced recently as an interesting alternative to the standard sparse synthesis approach. A prominent question brought up by this new construction is the analysis pursuit problem -- the need to find a…

泛函分析 · 数学 2014-01-06 Raja Giryes , Sangnam Nam , Michael Elad , Rémi Gribonval , Mike E. Davies

A major enterprise in compressed sensing and sparse approximation is the design and analysis of computationally tractable algorithms for recovering sparse, exact or approximate, solutions of underdetermined linear systems of equations. Many…

信息论 · 计算机科学 2010-04-13 Jeffrey D. Blanchard , Coralia Cartis , Jared Tanner , Andrew Thompson

In this study, a nondominated-solution-based multi-objective greedy method is proposed and applied to a sensor selection problem based on the multiple indices of the optimal design of experiments. The proposed method simultaneously…

信号处理 · 电气工程与系统科学 2023-06-21 Kumi Nakai , Yasuo Sasaki , Takayuki Nagata , Keigo Yamada , Yuji Saito , Taku Nonomura

Wideband wireless channel is a time dispersive channel and becomes strongly frequency-selective. However, in most cases, the channel is composed of a few dominant taps and a large part of taps is approximately zero or zero. To exploit the…

信息论 · 计算机科学 2010-05-14 Guan Gui , Qun Wan , Wei Peng , Fumiyuki Adachi

Sparse coding techniques for image processing traditionally rely on a processing of small overlapping patches separately followed by averaging. This has the disadvantage that the reconstructed image no longer obeys the sparsity prior used…

图像与视频处理 · 电气工程与系统科学 2018-12-31 Elad Plaut , Raja Giryes

A classic problem is the estimation of a set of parameters from measurements collected by only a few sensors. The number of sensors is often limited by physical or economical constraints and their placement is of fundamental importance to…

信息论 · 计算机科学 2015-06-16 Juri Ranieri , Amina Chebira , Martin Vetterli

We consider the visual feature selection to improve the estimation quality required for the accurate navigation of a robot. We build upon a key property that asserts: contributions of trackable features (landmarks) appear linearly in the…

机器人学 · 计算机科学 2019-02-05 Hossein K. Mousavi , Nader Motee

Reliable state estimation hinges on accurate specification of sensor noise covariances, which weigh heterogeneous measurements. In practice, these covariances are difficult to identify due to environmental variability, front-end…

机器人学 · 计算机科学 2025-12-18 Haoying Li , Yifan Peng , Xinghan Li , Junfeng Wu

We propose a randomized greedy search algorithm to find a point estimate for a random partition based on a loss function and posterior Monte Carlo samples. Given the large size and awkward discrete nature of the search space, the…

统计方法学 · 统计学 2021-05-11 David B. Dahl , Devin J. Johnson , Peter Mueller

Sensor selection refers to the problem of intelligently selecting a small subset of a collection of available sensors to reduce the sensing cost while preserving signal acquisition performance. The majority of sensor selection algorithms…

其他计算机科学 · 计算机科学 2017-02-27 Amirali Aghazadeh , Mohammad Golbabaee , Andrew S. Lan , Richard G. Baraniuk

Compressed sensing has a wide range of applications that include error correction, imaging, radar and many more. Given a sparse signal in a high dimensional space, one wishes to reconstruct that signal accurately and efficiently from a…

数值分析 · 数学 2009-05-28 Deanna Needell

We study a fundamental problem in Bayesian learning, where the goal is to select a set of data sources with minimum cost while achieving a certain learning performance based on the data streams provided by the selected data sources. First,…

机器学习 · 计算机科学 2021-05-04 Lintao Ye , Aritra Mitra , Shreyas Sundaram

Greedy algorithms for minimizing L0-norm of sparse decomposition have profound application impact on many signal processing problems. In the sparse coding setup, given the observations $\mathrm{y}$ and the redundant dictionary…

数值分析 · 计算机科学 2015-02-13 Yuanyi Xue , Yao Wang

We study here sparse recovery problems in the presence of additive noise. We analyze a thresholding version of the CoSaMP algorithm, named Thresholding Greedy Pursuit (TGP). We demonstrate that an appropriate choice of thresholding…

信号处理 · 电气工程与系统科学 2021-03-23 Hai Le , Alexei Novikov