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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

A reliable support detection is essential for a greedy algorithm to reconstruct a sparse signal accurately from compressed and noisy measurements. This paper proposes a novel support detection method for greedy algorithms, which is referred…

信息论 · 计算机科学 2016-08-24 Namyoon Lee

In this paper we revisit the sparse multiple measurement vector (MMV) problem where the aim is to recover a set of jointly sparse multichannel vectors from incomplete measurements. This problem has received increasing interest as an…

信息论 · 计算机科学 2015-03-14 Mike E. Davies , Yonina C. Eldar

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

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

Applying the theory of compressive sensing in practice always takes different kinds of perturbations into consideration. In this paper, the recovery performance of greedy pursuits with replacement for sparse recovery is analyzed when both…

信息论 · 计算机科学 2015-06-04 Laming Chen , Yuantao Gu

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

Motivated by the question of optimal functional approximation via compressed sensing, we propose generalizations of the Iterative Hard Thresholding and the Compressive Sampling Matching Pursuit algorithms able to promote sparse in levels…

信息论 · 计算机科学 2021-11-01 Ben Adcock , Simone Brugiapaglia , Matthew King-Roskamp

We show the potential of greedy recovery strategies for the sparse approximation of multivariate functions from a small dataset of pointwise evaluations by considering an extension of the orthogonal matching pursuit to the setting of…

数值分析 · 数学 2019-05-06 Ben Adcock , Simone Brugiapaglia

We propose a novel greedy algorithm for the support recovery of a sparse signal from a small number of noisy measurements. In the proposed method, a new support index is identified for each iteration based on bit-wise maximum a posteriori…

信息论 · 计算机科学 2019-10-29 J. Chae , S. -N. Hong

We propose a class of greedy algorithms for weighted sparse recovery by considering new loss function-based generalizations of Orthogonal Matching Pursuit (OMP). Given a (regularized) loss function, the proposed algorithms alternate the…

信息论 · 计算机科学 2025-02-18 Sina Mohammad-Taheri , Simone Brugiapaglia

In this report, a novel efficient algorithm for recovery of jointly sparse signals (sparse matrix) from multiple incomplete measurements has been presented, in particular, the NESTA-based MMV optimization method. In a nutshell, the jointly…

信息论 · 计算机科学 2009-05-21 Lianlin Li , Fang Li

We present an algorithm, dubbed Multi-Branch Matching Pursuit (MBMP), to solve the sparse recovery problem over redundant dictionaries. MBMP combines three different paradigms: being a greedy method, it performs iterative signal support…

信息论 · 计算机科学 2014-07-03 Marco Rossi , Alexander M. Haimovich , Yonina C. Eldar

Greedy Pursuits are very popular in Compressed Sensing for sparse signal recovery. Though many of the Greedy Pursuits possess elegant theoretical guarantees for performance, it is well known that their performance depends on the statistical…

应用统计 · 统计学 2012-06-20 Sooraj K. Ambat , Saikat Chatterjee , K. V. S. Hari

Sparse representation of a single measurement vector (SMV) has been explored in a variety of compressive sensing applications. Recently, SMV models have been extended to solve multiple measurement vectors (MMV) problems, where the…

最优化与控制 · 数学 2020-08-25 Jing Qin , Shuang Li , Deanna Needell , Anna Ma , Rachel Grotheer , Chenxi Huang , Natalie Durgin

Greedy sparse recovery has become a popular tool in many applications, although its complexity is still prohibitive when large sparsifying dictionaries or sensing matrices have to be exploited. In this paper, we formulate first a new class…

信号处理 · 电气工程与系统科学 2022-11-01 Joan Palacios , Nuria González-Prelcic

In this paper, we consider the problem of joint sparsity pattern recovery in a distributed sensor network. The sparse multiple measurement vector signals (MMVs) observed by all the nodes are assumed to have a common (but unknown) sparsity…

信息论 · 计算机科学 2016-01-27 Gang Li , Thakshila Wimalajeewa , Pramod K. Varshney

Sparse signal recoveries from multiple measurement vectors (MMV) with joint sparsity property have many applications in signal, image, and video processing. The problem becomes much more involved when snapshots of the signal matrix are…

信息论 · 计算机科学 2021-01-25 Ningning Han , Shidong Li , Jian Lu

Sparse phase retrieval plays an important role in many fields of applied science and thus attracts lots of attention. In this paper, we propose a \underline{sto}chastic alte\underline{r}nating \underline{m}inimizing method for…

机器学习 · 统计学 2019-06-17 Jianfeng Cai , Yuling Jiao , Xiliang Lu , Juntao You

Recovery of sparse signals from compressed measurements constitutes an l0 norm minimization problem, which is unpractical to solve. A number of sparse recovery approaches have appeared in the literature, including l1 minimization…

信息论 · 计算机科学 2013-08-27 Nazim Burak Karahanoglu , Hakan Erdogan