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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…

Information Theory · Computer Science 2015-03-14 Mike E. Davies , Yonina C. Eldar

A new sparse signal recovery algorithm for multiple-measurement vectors (MMV) problem is proposed in this paper. The sparse representation is iteratively drawn based on the idea of zero-point attracting projection (ZAP). In each iteration,…

Information Theory · Computer Science 2015-03-20 Yang You , Laming Chen , Yuantao Gu , Wei Feng , Hui Dai

Dynamic tracking of sparse targets has been one of the important topics in array signal processing. Recently, compressed sensing (CS) approaches have been extensively investigated as a new tool for this problem using partial support…

Information Theory · Computer Science 2011-10-04 Jong Min Kim , Ok Kyun Lee , Jong Chul Ye

We address the problem of estimating time and frequency shifts of a known waveform in the presence of multiple measurement vectors (MMVs). This problem naturally arises in radar imaging and wireless communications. Specifically, a signal…

Information Theory · Computer Science 2021-03-01 Maral Safari , Sajad Daei , Farzan Haddadi

Recently, the Multilinear Compressive Learning (MCL) framework was proposed to efficiently optimize the sensing and learning steps when working with multidimensional signals, i.e. tensors. In Compressive Learning in general, and in MCL in…

Computer Vision and Pattern Recognition · Computer Science 2020-09-23 Dat Thanh Tran , Moncef Gabbouj , Alexandros Iosifidis

Compressed sensing (CS) involves sampling signals at rates less than their Nyquist rates and attempting to reconstruct them after sample acquisition. Most such algorithms have parameters, for example the regularization parameter in LASSO,…

Information Theory · Computer Science 2021-02-23 Chinmay Gurjarpadhye , Shubhang Bhatnagar , Ajit Rajwade

In this paper we consider the problem of sparse signal recovery in Multiple Measurement Vectors (MMVs) case. Recently, ample researches have been conducted to solve this problem and diverse methods are proposed, one of which is deep neural…

Signal Processing · Electrical Eng. & Systems 2018-06-26 Zohreh Mohades , Vahid TabaTabaVakili

In the problem of multiple support recovery, we are given access to linear measurements of multiple sparse samples in $\mathbb{R}^{d}$. These samples can be partitioned into $\ell$ groups, with samples having the same support belonging to…

Information Theory · Computer Science 2022-05-25 Lekshmi Ramesh , Chandra R. Murthy , Himanshu Tyagi

This two-part work considers the minimum means square error (MMSE) estimation problem for a high dimensional multi-layer generalized linear model (ML-GLM), which resembles a feed-forward fully connected deep learning network in that each of…

Information Theory · Computer Science 2020-07-21 Haochuan Zhang , Qiuyun Zou , Hongwen Yang

We propose a novel sparsity model for distributed compressed sensing in the multiple measurement vectors (MMV) setting. Our model extends the concept of row-sparsity to allow more general types of structured sparsity arising in a variety of…

Numerical Analysis · Mathematics 2022-01-03 Florian Boßmann , Sara Krause-Solberg , Johannes Maly , Nada Sissouno

We address the problem of compressed sensing with multiple measurement vectors associated with prior information in order to better reconstruct an original sparse matrix signal. $\ell_{2,1}-\ell_{2,1}$ minimization is used to emphasize…

Information Theory · Computer Science 2015-10-23 Shih-Wei Hu , Gang-Xuan Lin , Sung-Hsien Hsieh , Wei-Jie Liang , Chun-Shien Lu

Compressed sensing (CS) is a signal processing technique that enables the efficient recovery of a sparse high-dimensional signal from low-dimensional measurements. In the multiple measurement vector (MMV) framework, a set of signals with…

Signal Processing · Electrical Eng. & Systems 2022-06-08 Pavan K. Kota , Daniel LeJeune , Rebekah A. Drezek , Richard G. Baraniuk

This paper addresses the problem of simultaneous signal recovery and dictionary learning based on compressive measurements. Multiple signals are analyzed jointly, with multiple sensing matrices, under the assumption that the unknown signals…

Information Theory · Computer Science 2015-03-19 Jorge Silva , Minhua Chen , Yonina C. Eldar , Guillermo Sapiro , Lawrence Carin

In this paper, we consider multi-sensor classification when there is a large number of unlabeled samples. The problem is formulated under the multi-view learning framework and a Consensus-based Multi-View Maximum Entropy Discrimination…

Information Theory · Computer Science 2016-11-17 Tianpei Xie , Nasser M. Nasrabadi , Alfred O. Hero

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…

Information Theory · Computer Science 2015-06-03 Jong Min Kim , Ok Kyun Lee , Jong Chul Ye

This paper studies the problem of estimating the covariance of a collection of vectors using only highly compressed measurements of each vector. An estimator based on back-projections of these compressive samples is proposed and analyzed. A…

Machine Learning · Statistics 2019-01-16 Martin Azizyan , Akshay Krishnamurthy , Aarti Singh

The joint-sparse recovery problem aims to recover, from sets of compressed measurements, unknown sparse matrices with nonzero entries restricted to a subset of rows. This is an extension of the single-measurement-vector (SMV) problem widely…

Information Theory · Computer Science 2018-08-23 Ewout van den Berg , Michael P. Friedlander

Demixing is the problem of identifying multiple structured signals from a superimposed, undersampled, and noisy observation. This work analyzes a general framework, based on convex optimization, for solving demixing problems. When the…

Information Theory · Computer Science 2013-10-01 Michael B. McCoy , Joel A. Tropp

Many real-world problems in machine learning, signal processing, and communications assume that an unknown vector $x$ is measured by a matrix A, resulting in a vector $y=Ax+z$, where $z$ denotes the noise; we call this a single measurement…

Information Theory · Computer Science 2017-07-13 Junan Zhu

We consider a collection of independent random variables that are identically distributed, except for a small subset which follows a different, anomalous distribution. We study the problem of detecting which random variables in the…

Information Theory · Computer Science 2018-06-21 Natalie Durgin , Rachel Grotheer , Chenxi Huang , Shuang Li , Anna Ma , Deanna Needell , Jing Qin