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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

Sparse representations have emerged as a powerful tool in signal and information processing, culminated by the success of new acquisition and processing techniques such as Compressed Sensing (CS). Fusion frames are very rich new signal…

信息论 · 计算机科学 2011-06-20 Petros T. Boufounos , Gitta Kutyniok , Holger Rauhut

In this article we study the problem of signal recovery for group models. More precisely for a given set of groups, each containing a small subset of indices, and for given linear sketches of the true signal vector which is known to be…

最优化与控制 · 数学 2020-02-28 Bubacarr Bah , Jannis Kurtz , Oliver Schaudt

For many practical applications in wireless communications, we need to recover a structured sparse signal from a linear observation model with dynamic grid parameters in the sensing matrix. Conventional expectation maximization (EM)-based…

信号处理 · 电气工程与系统科学 2023-11-14 Wenkang Xu , An Liu , Bingpeng Zhou , Minjian Zhao

In its most elementary form, compressed sensing studies the design of decoding algorithms to recover a sufficiently sparse vector or code from a lower dimensional linear measurement vector. Typically it is assumed that the decoder has…

机器学习 · 计算机科学 2021-07-20 Michael Murray , Jared Tanner

The task of finding a sparse signal decomposition in an overcomplete dictionary is made more complicated when the signal undergoes an unknown modulation (or convolution in the complementary Fourier domain). Such simultaneous sparse recovery…

信息论 · 计算机科学 2019-10-02 Youye Xie , Michael B. Wakin , Gongguo Tang

In this paper, we develop a new framework for sensing and recovering structured signals. In contrast to compressive sensing (CS) systems that employ linear measurements, sparse representations, and computationally complex convex/greedy…

机器学习 · 计算机科学 2016-09-01 Ali Mousavi , Ankit B. Patel , Richard G. Baraniuk

Sparse modeling is a powerful framework for data analysis and processing. Traditionally, encoding in this framework is done by solving an l_1-regularized linear regression problem, usually called Lasso. In this work we first combine the…

信息论 · 计算机科学 2010-03-02 Pablo Sprechmann , Ignacio Ramirez , Guillermo Sapiro , Yonina C. Eldar

Sparse signals can be recovered from a reduced set of samples by using compressive sensing algorithms. In common methods the signal is recovered in the sparse domain. A method for the reconstruction of sparse signal which reconstructs the…

信息论 · 计算机科学 2015-04-28 Ljubisa Stankovic , Milos Dakovic

In this paper, we consider the block-sparse signals recovery problem in the context of multiple measurement vectors (MMV) with common row sparsity patterns. We develop a new method for recovery of common row sparsity MMV signals, where a…

机器学习 · 计算机科学 2017-11-07 Hang Xiao , Zhengli Xing , Linxiao Yang , Jun Fang , Yanlun Wu

We consider the problem of recovering a set of correlated signals (e.g., images from different viewpoints) from a few linear measurements per signal. We assume that each sensor in a network acquires a compressed signal in the form of linear…

网络与互联网体系结构 · 计算机科学 2015-03-19 Alhussein Fawzi , Tamara Tosic , Pascal Frossard

This paper introduces a new method for learning and inferring sparse representations of depth (disparity) maps. The proposed algorithm relaxes the usual assumption of the stationary noise model in sparse coding. This enables learning from…

计算机视觉与模式识别 · 计算机科学 2015-05-20 Ivana Tosic , Bruno A. Olshausen , Benjamin J. Culpepper

Compressed Sensing (CS) is an effective approach to reduce the required number of samples for reconstructing a sparse signal in an a priori basis, but may suffer severely from the issue of basis mismatch. In this paper we study the problem…

信息论 · 计算机科学 2014-02-04 Yuejie Chi

To solve the problem of joint sparsity pattern recovery in a decen-tralized network, we propose an algorithm named decentralized and collaborative subspace pursuit (DCSP). The basic idea of DCSP is to embed collaboration among nodes and…

信息论 · 计算机科学 2014-03-07 Gang Li , Thakshila Wimalajeewa , Pramod K. Varshney

It has been found that radar returns of extended targets are not only sparse but also exhibit a tendency to cluster into randomly located, variable sized groups. However, the standard techniques of Compressive Sensing as applied in radar…

信息论 · 计算机科学 2014-11-17 Sanghamitra Dutta , Arijit De

In this manuscript, we analyze the sparse signal recovery (compressive sensing) problem from the perspective of convex optimization by stochastic proximal gradient descent. This view allows us to significantly simplify the recovery analysis…

数据结构与算法 · 计算机科学 2013-04-19 Rong Jin , Tianbao Yang , Shenghuo Zhu

Auto-Encoders are unsupervised models that aim to learn patterns from observed data by minimizing a reconstruction cost. The useful representations learned are often found to be sparse and distributed. On the other hand, compressed sensing…

机器学习 · 统计学 2017-07-14 Devansh Arpit , Yingbo Zhou , Hung Q. Ngo , Nils Napp , Venu Govindaraju

Distributed compressed sensing is concerned with representing an ensemble of jointly sparse signals using as few linear measurements as possible. Two novel joint reconstruction algorithms for distributed compressed sensing are presented in…

信息论 · 计算机科学 2014-05-22 Diego Valsesia , Giulio Coluccia , Enrico Magli

We study the problem of jointly sparse support recovery with 1-bit compressive measurements in a sensor network. Sensors are assumed to observe sparse signals having the same but unknown sparse support. Each sensor quantizes its measurement…

信息论 · 计算机科学 2015-06-02 Vipul Gupta , Bhavya Kailkhura , Thakshila Wimalajeewa , Pramod K. Varshney

Parameterized mathematical models play a central role in understanding and design of complex information systems. However, they often cannot take into account the intricate interactions innate to such systems. On the contrary, purely…

机器学习 · 计算机科学 2019-12-13 Shahin Khobahi , Arindam Bose , Mojtaba Soltanalian