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Orthogonal matching pursuit (OMP) is a greedy algorithm widely used for the recovery of sparse signals from compressed measurements. In this paper, we analyze the number of iterations required for the OMP algorithm to perform exact recovery…

信息论 · 计算机科学 2016-02-23 Jian Wang , Byonghyo Shim

An important receiver operation is to detect the presence specific preamble signals with unknown delays in the presence of scattering, Doppler effects and carrier offsets. This task, referred to as "link acquisition", is typically a…

信息论 · 计算机科学 2015-06-11 Xiao Li , Andrea Rueetschi , Anna Scaglione , Yonina C. Eldar

The success of the compressed sensing paradigm has shown that a substantial reduction in sampling and storage complexity can be achieved in certain linear and non-adaptive estimation problems. It is therefore an advisable strategy for…

信息论 · 计算机科学 2014-08-27 Peter Jung , Philipp Walk

Recovering matrices from compressive and grossly corrupted observations is a fundamental problem in robust statistics, with rich applications in computer vision and machine learning. In theory, under certain conditions, this problem can be…

最优化与控制 · 数学 2017-05-31 Cun Mu , Yuqian Zhang , John Wright , Donald Goldfarb

We consider the problem of reconstructing an infinite set of sparse, finite-dimensional vectors, that share a common sparsity pattern, from incomplete measurements. This is in contrast to the work [17], where the single vector signal can be…

最优化与控制 · 数学 2021-11-29 Nick Dexter , Hoang Tran , Clayton Webster

Recovering low-rank and sparse matrices from incomplete or corrupted observations is an important problem in machine learning, statistics, bioinformatics, computer vision, as well as signal and image processing. In theory, this problem can…

机器学习 · 计算机科学 2014-09-04 Fanhua Shang , Yuanyuan Liu , Hanghang Tong , James Cheng , Hong Cheng

Canonical correlation analysis is a classical technique for exploring the relationship between two sets of variables. It has important applications in analyzing high dimensional datasets originated from genomics, imaging and other fields.…

统计方法学 · 统计学 2016-04-05 Chao Gao , Zongming Ma , Harrison H. Zhou

Sign truncated matching pursuit (STrMP) algorithm is presented in this paper. STrMP is a new greedy algorithm for the recovery of sparse signals from the sign measurement, which combines the principle of consistent reconstruction with…

信息论 · 计算机科学 2013-12-13 Wenhui Liu , Da Gong , Zhiqiang Xu

In this paper, by exploiting the special features of temporal correlations of dynamic sparse channels that path delays change slowly over time but path gains evolve faster, we propose the structured matching pursuit (SMP) algorithm to…

信息论 · 计算机科学 2015-07-21 Xudong Zhu , Linglong Dai , Guan Gui , Wei Dai , Zhaocheng Wang , Fumiyuki Adachi

Compressed sensing is an imaging paradigm that allows one to invert an underdetermined linear system by imposing the a priori knowledge that the sought after solution is sparse (i.e., mostly zeros). Previous works have shown that if one…

图像与视频处理 · 电气工程与系统科学 2023-12-05 Nicholas Dwork , Erin K. Englund

Coded compressed sensing is an algorithmic framework tailored to sparse recovery in very large dimensional spaces. This framework is originally envisioned for the unsourced multiple access channel, a wireless paradigm attuned to…

信息论 · 计算机科学 2019-10-23 Vamsi K. Amalladinne , Jean-Francois Chamberland , Krishna R. Narayanan

This paper addresses compressive sensing for multi-channel ECG. Compared to the traditional sparse signal recovery approach which decomposes the signal into the product of a dictionary and a sparse vector, the recently developed cosparse…

信息论 · 计算机科学 2013-11-21 Yurrit Avonds , Yipeng Liu , Sabine Van Huffel

Federated learning is a privacy-preserving approach to train a global model at a central server by collaborating with wireless devices, each with its own local training data set. In this paper, we present a compressive sensing approach for…

信号处理 · 电气工程与系统科学 2020-08-06 Yo-Seb Jeon , Mohammad Mohammadi Amiri , Jun Li , H. Vincent Poor

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

Recent research has shown that performance in signal processing tasks can often be significantly improved by using signal models based on sparse representations, where a signal is approximated using a small number of elements from a fixed…

最优化与控制 · 数学 2011-11-18 Adam S. Charles , Pierre Garrigues , Christopher J. Rozell

Gaussian processes are widely used as priors for unknown functions in statistics and machine learning. To achieve computationally feasible inference for large datasets, a popular approach is the Vecchia approximation, which is an ordered…

统计计算 · 统计学 2023-04-11 Myeongjong Kang , Matthias Katzfuss

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

Canonical correlation analysis investigates linear relationships between two sets of variables, but often works poorly on modern data sets due to high-dimensionality and mixed data types such as continuous, binary and zero-inflated. To…

统计方法学 · 统计学 2021-04-01 Grace Yoon , Raymond J. Carroll , Irina Gaynanova

This paper introduces a fast algorithm for simultaneous inversion and determinant computation of small sized matrices in the context of fully Polarimetric Synthetic Aperture Radar (PolSAR) image processing and analysis. The proposed fast…

数值分析 · 计算机科学 2018-07-24 D. F. G. Coelho , R. J. Cintra , A. C. Frery , V. S. Dimitrov

Compressed sensing is a novel technique where one can recover sparse signals from the undersampled measurements. In this correspondence, a $K \times N$ measurement matrix for compressed sensing is deterministically constructed via additive…

信息论 · 计算机科学 2010-10-04 Nam Yul Yu