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In this paper, we put forth a new joint sparse recovery algorithm called signal space matching pursuit (SSMP). The key idea of the proposed SSMP algorithm is to sequentially investigate the support of jointly sparse vectors to minimize the…

Information Theory · Computer Science 2020-03-10 Junhan Kim , Jian Wang , Luong Trung Nguyen , Byonghyo Shim

Sparse code multiple access (SCMA) is a new frequency domain non-orthogonal multiple-access technique which can improve spectral efficiency of wireless radio access. With SCMA, different incoming data streams are directly mapped to…

Information Theory · Computer Science 2016-11-18 Hosein Nikopour , Eric Yi , Alireza Bayesteh , Kelvin Au , Mark Hawryluck , Hadi Baligh , Jianglei Ma

We are motivated by problems that arise in a number of applications such as Online Marketing and explosives detection, where the observations are usually modeled using Poisson statistics. We model each observation as a Poisson random…

Statistics Theory · Mathematics 2016-11-17 D. Motamedvaziri , M. H. Rohban , V. Saligrama

Spike and Slab priors have been of much recent interest in signal processing as a means of inducing sparsity in Bayesian inference. Applications domains that benefit from the use of these priors include sparse recovery, regression and…

Machine Learning · Computer Science 2016-10-27 Tiep H. Vu , Hojjat S. Mousavi , Vishal Monga

Sparse random linear network coding (SRLNC) is an attractive technique proposed in the literature to reduce the decoding complexity of random linear network coding. Recognizing the fact that the existing SRLNC schemes are not efficient in…

Information Theory · Computer Science 2013-11-12 Kaveh Mahdaviani , Raman Yazdani , Masoud Ardakani

In this paper, we propose a new polar coding scheme for the unsourced, uncoordinated Gaussian random access channel. Our scheme is based on sparse spreading, treat interference as noise and successive interference cancellation (SIC). On the…

Information Theory · Computer Science 2020-07-14 Mengfan Zheng , Yongpeng Wu , Wenjun Zhang

Compressed sensing has a wide range of applications that include error correction, imaging, radar and many more. Given a sparse signal in a high dimensional space, one wishes to reconstruct that signal accurately and efficiently from a…

Numerical Analysis · Mathematics 2009-05-28 Deanna Needell

Random Linear Network Coding (RLNC) has been proved to offer an efficient communication scheme, leveraging an interesting robustness against packet losses. However, it suffers from a high computational complexity and some novel approaches,…

Networking and Internet Architecture · Computer Science 2016-07-25 Garrido Pablo , Lucani E. Daniel , Aguero Ramon

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…

Information Theory · Computer Science 2014-11-17 Sanghamitra Dutta , Arijit De

Sparse coding approximates the data sample as a sparse linear combination of some basic codewords and uses the sparse codes as new presentations. In this paper, we investigate learning discriminative sparse codes by sparse coding in a…

Machine Learning · Statistics 2015-01-19 Jim Jing-Yan Wang , Xin Gao

We initiate the probabilistic analysis of linear programming (LP) decoding of low-density parity-check (LDPC) codes. Specifically, we show that for a random LDPC code ensemble, the linear programming decoder of Feldman et al. succeeds in…

Information Theory · Computer Science 2016-11-15 Constantinos Daskalakis , Alexandros G. Dimakis , Richard M. Karp , Martin J. Wainwright

Sparse coding refers to the pursuit of the sparsest representation of a signal in a typically overcomplete dictionary. From a Bayesian perspective, sparse coding provides a Maximum a Posteriori (MAP) estimate of the unknown vector under a…

Signal Processing · Electrical Eng. & Systems 2019-09-04 Dror Simon , Jeremias Sulam , Yaniv Romano , Yue M. Lu , Michael Elad

Multi-user spatial modulation (SM) assisted by sparse code multiple access (SCMA) has been recently proposed to provide uplink high spectral efficiency transmission. The message passing algorithm (MPA) is employed to detect the transmitted…

Signal Processing · Electrical Eng. & Systems 2020-08-19 Ibrahim Al-Nahhal , Octavia A. Dobre , Salama Ikki

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

In this paper, a new method for decoding Low Density Parity Check (LDPC) codes, based on Multi-Layer Perceptron (MLP) neural networks is proposed. Due to the fact that in neural networks all procedures are processed in parallel, this method…

Information Theory · Computer Science 2014-11-14 Alireza Karami , Mahmoud Ahmadian Attari

We propose a Multi-step Screening Procedure (MSP) for the recovery of sparse linear models in high-dimensional data. This method is based on a repeated small penalty strategy that quickly converges to an estimate within a few iterations.…

Methodology · Statistics 2019-12-13 Yuehan Yang , Ji Zhu , Edward I. George

In this paper, by exploiting the special features of temporal correlations of dynamic sparse channels that path delays change slowly over time but path gains evolve faster, we propose the structured matching pursuit (SMP) algorithm to…

Information Theory · Computer Science 2015-07-21 Xudong Zhu , Linglong Dai , Guan Gui , Wei Dai , Zhaocheng Wang , Fumiyuki Adachi

Inspired by compressive sensing principles, we propose novel error control coding techniques for communication systems. The information bits are encoded in the support and the non-zero entries of a sparse signal. By selecting a dictionary…

Information Theory · Computer Science 2021-02-09 Madhusudan Kumar Sinha , Arun Pachai Kannu

Sparse subspace clustering (SSC) using greedy-based neighbor selection, such as matching pursuit (MP) and orthogonal matching pursuit (OMP), has been known as a popular computationally-efficient alternative to the conventional…

Machine Learning · Statistics 2020-02-04 Jwo-Yuh Wu , Wen-Hsuan Li , Liang-Chi Huang , Yen-Ping Lin , Chun-Hung Liu , Rung-Hung Gau

Modern mobile terminals produce massive small data packets. For these short-length packets, it is inefficient to follow the current multiple access schemes to allocate transmission resources due to heavy signaling overhead. We propose a…

Information Theory · Computer Science 2016-04-12 Ronggui Xie , Huarui Yin , Xiaohui Chen , Zhengdao Wang