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In this letter, we propose a sparsity promoting feedback acquisition and reconstruction scheme for sensing, encoding and subsequent reconstruction of spectrally sparse signals. In the proposed scheme, the spectral components are estimated…

Information Theory · Computer Science 2017-11-28 Mahdi Boloursaz Mashhadi , Saeed Gazor , Nazanin Rahnavard , Farokh Marvasti

This paper considers the design of tunable decision schemes capable of rejecting with high probability mismatched signals embedded in Gaussian interference with unknown covariance matrix. To this end, a sparse recovery technique is…

Signal Processing · Electrical Eng. & Systems 2020-04-29 Sudan Han , Luca Pallotta , Xiaotao Huang , Gaetano Giunta , Danilo Orlando

In Compressed Sensing, a real-valued sparse vector has to be estimated from an underdetermined system of linear equations. In many applications, however, the elements of the sparse vector are drawn from a finite set. For the estimation of…

Information Theory · Computer Science 2016-08-24 Susanne Sparrer , Robert F. H. Fischer

We investigate the sparse recovery problem of reconstructing a high-dimensional non-negative sparse vector from lower dimensional linear measurements. While much work has focused on dense measurement matrices, sparse measurement schemes are…

Information Theory · Computer Science 2009-02-25 M. Amin Khajehnejad , Alexandros G. Dimakis , Weiyu Xu , Babak Hassibi

We develop new efficient online algorithms for detecting transient sparse signals in TEM video sequences, by adopting the recently developed framework for sequential detection jointly with online convex optimization [1]. We cast the problem…

Applications · Statistics 2017-11-01 Y. Cao , S. Zhu , Y. Xie , J. Key , J. Kacher , R. R. Unocic , C. M. Rouleau

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…

Information Theory · Computer Science 2012-11-29 Thakshila Wimalajeewa , Pramod K. Varshney

This work examines the multi-view compressive phase retrieval problem in a distributed sensor network, where each sensor device, limited by storage and sensing capabilities, can access only intensity measurements from an unknown part of the…

Information Theory · Computer Science 2025-06-02 Ming-Hsun Yang

This paper introduces a novel approach for recovering sparse signals using sorted L1/L2 minimization. The proposed method assigns higher weights to indices with smaller absolute values and lower weights to larger values, effectively…

Numerical Analysis · Mathematics 2023-08-09 Chao Wang , Ming Yan , Junjie Yu

Conventional compressed sensing theory assumes signals have sparse representations in a known, finite dictionary. Nevertheless, in many practical applications such as direction-of-arrival (DOA) estimation and line spectral estimation, the…

Information Theory · Computer Science 2014-12-19 Jun Fang , Huiping Duan , Jing Li , Hongbin Li , Rick S. Blum

In this paper, we present a Bayesian channel estimation algorithm for multicarrier receivers based on pilot symbol observations. The inherent sparse nature of wireless multipath channels is exploited by modeling the prior distribution of…

Machine Learning · Statistics 2013-03-07 Niels Lovmand Pedersen , Carles Navarro Manchón Bernard Henri Fleury

We consider the problem of high-dimensional misspecified phase retrieval. This is where we have an $s$-sparse signal vector $\mathbf{x}_*$ in $\mathbb{R}^n$, which we wish to recover using sampling vectors…

Information Theory · Computer Science 2017-12-14 Yan Shuo Tan

Sparse recovery algorithms are of utmost importance for estimation processes in wireless communications. However, communication systems such as massive multiple input multiple output (MIMO) systems are rapidly growing in dimension, which…

Signal Processing · Electrical Eng. & Systems 2026-05-19 Nay Klaimi , Philippe Mary , Luc Le Magoarou

Compressive sensing has been successfully used for optimized operations in wireless sensor networks. However, raw data collected by sensors may be neither originally sparse nor easily transformed into a sparse data representation. This…

Networking and Internet Architecture · Computer Science 2016-08-16 Mohammad Abu Alsheikh , Shaowei Lin , Hwee-Pink Tan , Dusit Niyato

Linear sketching and recovery of sparse vectors with randomly constructed sparse matrices has numerous applications in several areas, including compressive sensing, data stream computing, graph sketching, and combinatorial group testing.…

Numerical Analysis · Mathematics 2014-02-07 Bubacarr Bah , Luca Baldassarre , Volkan Cevher

We propose a new method for reconstruction of sparse signals with and without noisy perturbations, termed the subspace pursuit algorithm. The algorithm has two important characteristics: low computational complexity, comparable to that of…

Numerical Analysis · Computer Science 2009-01-08 Wei Dai , Olgica Milenkovic

In this paper we present a new algorithm for compressive sensing that makes use of binary measurement matrices and achieves exact recovery of ultra sparse vectors, in a single pass and without any iterations. Due to its noniterative nature,…

Information Theory · Computer Science 2018-05-22 Mahsa Lotfi , Mathukumalli Vidyasagar

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…

Information Theory · Computer Science 2015-04-28 Ljubisa Stankovic , Milos Dakovic

PDE discovery shows promise for uncovering predictive models of complex physical systems but has difficulty when measurements are sparse and noisy. We introduce a new approach for PDE discovery that uses two Rational Neural Networks and a…

Machine Learning · Computer Science 2022-06-20 Robert Stephany , Christopher Earls

Sparse signal recovery problems from noisy linear measurements appear in many areas of wireless communications. In recent years, deep learning (DL) based approaches have attracted interests of researchers to solve the sparse linear inverse…

Signal Processing · Electrical Eng. & Systems 2021-01-28 Wei Chen , Bowen Zhang , Shi Jin , Bo Ai , Zhangdui Zhong

Distance weighted discrimination (DWD) was originally proposed to handle the data piling issue in the support vector machine. In this paper, we consider the sparse penalized DWD for high-dimensional classification. The state-of-the-art…

Machine Learning · Statistics 2015-01-27 Boxiang Wang , Hui Zou