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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

Magnetic particle imaging reconstructs tracer distributions using a system matrix obtained through time-consuming, noise-prone calibration measurements. Methods for addressing imperfections in measured system matrices increasingly rely on…

Image and Video Processing · Electrical Eng. & Systems 2026-03-20 Artyom Tsanda , Sarah Reiss , Konrad Scheffler , Marija Boberg , Tobias Knopp

The multiple measurement vector (MMV) problem addresses the identification of unknown input vectors that share common sparse support. Even though MMV problems had been traditionally addressed within the context of sensor array signal…

Information Theory · Computer Science 2011-04-05 Jong Min Kim , Ok Kyun Lee , Jong Chul Ye

In "Unlabeled Sensing", one observes a set of linear measurements of an underlying signal with incomplete or missing information about their ordering, which can be modeled in terms of an unknown permutation. Previous work on the case of a…

Information Theory · Computer Science 2020-07-14 Hang Zhang , Martin Slawski , Ping Li

In this paper, we investigate a multivariate multi-response (MVMR) linear regression problem, which contains multiple linear regression models with differently distributed design matrices, and different regression and output vectors. The…

Machine Learning · Computer Science 2013-07-31 Weiguang Wang , Yingbin Liang , Eric P. Xing

We propose a learned-structured unfolding neural network for the problem of compressive sparse multichannel blind-deconvolution. In this problem, each channel's measurements are given as convolution of a common source signal and sparse…

Signal Processing · Electrical Eng. & Systems 2021-02-15 Bahareh Tolooshams , Satish Mulleti , Demba Ba , Yonina C. Eldar

A major challenge to implement the compressed sensing method for channel state information (CSI) acquisition lies in the design of a well-performed measurement matrix to reduce the dimension of sparse channel vectors. The widely adopted…

Information Theory · Computer Science 2020-07-14 Pengxia Wu , Zichuan Liu , Julian Cheng

It is well accepted that acquiring downlink channel state information in frequency division duplexing (FDD) massive multiple-input multiple-output (MIMO) systems is challenging because of the large overhead in training and feedback. In this…

Information Theory · Computer Science 2022-05-18 Javad Mirzaei , Shahram ShahbazPanahi , Raviraj Adve , Navaneetha Gopal

This study presents a hybrid deep learning framework, the Vision Transformer with Residual Feature Network (VRF-Net), for recovering high-resolution system matrices in Magnetic Particle Imaging (MPI). MPI resolution often suffers from…

Medical Physics · Physics 2025-11-05 Abuobaida M. Khair , Wenjing Jiang , Yousuf Babiker M. Osman , Wenjun Xia , Xiaopeng Ma

One of the key challenges in sensor networks is the extraction of information by fusing data from a multitude of distinct, but possibly unreliable sensors. Recovering information from the maximum number of dependable sensors while…

Machine Learning · Statistics 2015-05-20 Vassilis Kekatos , Georgios B. Giannakis

Reducing the memory footprint of neural networks is a crucial prerequisite for deploying them in small and low-cost embedded devices. Network parameters can often be reduced significantly through pruning. We discuss how to best represent…

Data Structures and Algorithms · Computer Science 2021-11-25 Elias Trommer , Bernd Waschneck , Akash Kumar

In this paper, we consider a compressed sensing problem of reconstructing a sparse signal from an undersampled set of noisy linear measurements. The regularized least squares or least absolute shrinkage and selection operator (LASSO)…

Information Theory · Computer Science 2014-10-30 Chao-Kai Wen , Jun Zhang , Kai-Kit Wong , Jung-Chieh Chen , Chau Yuen

In this paper, we present a deep learning (DL) algorithm for channel estimation in communication systems. We consider the time-frequency response of a fast fading communication channel as a two-dimensional image. The aim is to find the…

Information Theory · Computer Science 2019-02-20 Mehran Soltani , Vahid Pourahmadi , Ali Mirzaei , Hamid Sheikhzadeh

The downlink channel covariance matrix (CCM) acquisition is the key step for the practical performance of massive multiple-input and multiple-output (MIMO) systems, including beamforming, channel tracking, and user scheduling. However, this…

Signal Processing · Electrical Eng. & Systems 2024-01-22 Kai Li , Ying Li , Lei Cheng , Qingjiang Shi , Zhi-Quan Luo

Initial access at millimeter wave frequencies is a challenging problem due to hardware non-idealities and low SNR measurements prior to beamforming. Prior work has exploited the observation that mmWave MIMO channels are sparse in the…

Information Theory · Computer Science 2018-06-06 Nitin Jonathan Myers , Robert W. Heath

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

We propose an iterative channel estimation algorithm based on the Least Square Estimation (LSE) and Sparse Message Passing (SMP) algorithm for the Millimeter Wave (mmWave) MIMO systems. The channel coefficients of the mmWave MIMO are…

Information Theory · Computer Science 2022-06-23 Chongwen Huang , Lei Liu , Chau Yuen , Sumei Sun

A host of problems involve the recovery of structured signals from a dimensionality reduced representation such as a random projection; examples include sparse signals (compressive sensing) and low-rank matrices (matrix completion). Given…

Information Theory · Computer Science 2012-05-22 Shirin Jalali , Arian Maleki , Richard Baraniuk

Mismatches between samples and their respective channel or target commonly arise in several real-world applications. For instance, whole-brain calcium imaging of freely moving organisms, multiple-target tracking or multi-person contactless…

Signal Processing · Electrical Eng. & Systems 2023-07-25 Taulant Koka , Manolis C. Tsakiris , Michael Muma , Benjamín Béjar Haro

The deployment of extremely large antenna arrays (ELAAs) in extremely large-scale multiple-input multiple-output (XL-MIMO) systems introduces significant near-field effects, such as spherical wavefront propagation and spatially…

Information Theory · Computer Science 2025-09-10 Anzheng Tang , Jun-Bo Wang , Yijin Pan , Tuo Wu , Yijian Chen , Hongkang Yu , Maged Elkashlan