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The reconstruction of sparse signals requires the solution of an $\ell_0$-norm minimization problem in Compressed Sensing. Previous research has focused on the investigation of a single candidate to identify the support (index of nonzero…

Information Theory · Computer Science 2017-01-12 Zhetao Li , Hongqing Zeng , Chengqing Li , Jun Fang

In this paper, we investigate a multi-target sensing system in multipath environment, where inter-target scattering gives rise to first-order reflected paths whose angles of departure (AoDs) and angles of arrival (AoAs) coincide with the…

Signal Processing · Electrical Eng. & Systems 2025-11-19 Xiang Chen , Ming-Min Zhao , An Liu , Min Li , Qingjiang Shi , Min-Jian Zhao

We study the problem of consistently recovering the sparsity pattern of a regression parameter vector from correlated observations governed by deterministic missing data patterns using Lasso. We consider the case in which the observed…

Machine Learning · Computer Science 2022-06-13 Chuyang Ke , Jean Honorio

A sparsity-driven algorithm of inverse synthetic aperture radar (ISAR) imaging is proposed. Based on the parametric sparse representation of the received ISAR signal, the problem of ISAR image formation is converted into the joint…

Information Theory · Computer Science 2012-11-08 Gang Li , Wei Rao , Xiqin Wang , Xiang-Gen Xia

Randomized Stepped Frequency Radar (RSFR) is very attractive for tasks under complex electromagnetic environment. Due to the synthetic high range resolution in RSRFs, a target usually occupies a series of range cells and is called an…

Signal Processing · Electrical Eng. & Systems 2021-10-05 Lei Wang , Tianyao Huang , Yimin Liu

Recently, sparsity-based algorithms are proposed for super-resolution spectrum estimation. However, to achieve adequately high resolution in real-world signal analysis, the dictionary atoms have to be close to each other in frequency,…

Machine Learning · Statistics 2015-06-05 Yiyuan She , Huanghuang Li , Jiangping Wang , Dapeng Wu

In this paper, we will investigate the efficacy of IMAT (Iterative Method of Adaptive Thresholding) in recovering the sparse signal (parameters) for linear models with missing data. Sparse recovery rises in compressed sensing and machine…

Machine Learning · Computer Science 2016-06-14 Ashkan Esmaeili , Farokh Marvasti

Multiple systems estimation strategies have recently been applied to quantify hard-to-reach populations, particularly when estimating the number of victims of human trafficking and modern slavery. In such contexts, it is not uncommon to see…

Methodology · Statistics 2020-03-06 Lax Chan , Bernard W. Silverman , Kyle Vincent

Numerous practical medical problems often involve data that possess a combination of both sparse and non-sparse structures. Traditional penalized regularizations techniques, primarily designed for promoting sparsity, are inadequate to…

Methodology · Statistics 2023-11-10 Shun Yu , Yuehan Yang

This paper addresses the problem of localizing an unknown number of targets, all having the same radar signature, by a distributed MIMO radar consisting of single antenna transmitters and receivers that cannot determine directions of…

Information Theory · Computer Science 2017-11-07 Sundar Aditya , Andreas F. Molisch , Naif Rabeah , Hatim Behairy

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

Standard noise radars, as well as noise-type radars such as quantum two-mode squeezing radar, are characterized by a covariance matrix with a very specific structure. This matrix has four independent parameters: the amplitude of the…

Signal Processing · Electrical Eng. & Systems 2022-08-10 David Luong , Bhashyam Balaji , Sreeraman Rajan

In this paper we study the reconstruction of binary sparse signals from partial random circulant measurements. We show that the reconstruction via the least-squares algorithm is as good as the reconstruction via the usually used program…

Information Theory · Computer Science 2020-06-29 Sandra Keiper

As a typical dimensionality reduction technique, random projection can be simply implemented with linear projection, while maintaining the pairwise distances of high-dimensional data with high probability. Considering this technique is…

Machine Learning · Computer Science 2014-10-14 Weizhi Lu , Weiyu Li , Kidiyo Kpalma , Joseph Ronsin

We consider a class of sparse learning problems in high dimensional feature space regularized by a structured sparsity-inducing norm which incorporates prior knowledge of the group structure of the features. Such problems often pose a…

Optimization and Control · Mathematics 2014-02-11 Zhiwei Qin , Donald Goldfarb

We consider the multi-target detection problem of estimating a two-dimensional target image from a large noisy measurement image that contains many randomly rotated and translated copies of the target image. Motivated by single-particle…

Image and Video Processing · Electrical Eng. & Systems 2022-09-05 Tamir Bendory , Ti-Yen Lan , Nicholas F. Marshall , Iris Rukshin , Amit Singer

We develop a novel method for detection of signals and reconstruction of images in the presence of random noise. The method uses results from percolation theory. We specifically address the problem of detection of multiple objects of…

Applications · Statistics 2013-12-02 Mikhail Langovoy , Michael Habeck , Bernhard Schölkopf

We consider a problem of estimating a sparse group of sparse normal mean vectors. The proposed approach is based on penalized likelihood estimation with complexity penalties on the number of nonzero mean vectors and the numbers of their…

Statistics Theory · Mathematics 2012-03-02 Felix Abramovich , Vadim Grinshtein

Having precise perception of the environment is crucial for ensuring the secure and reliable functioning of autonomous driving systems. Radar object detection networks are one fundamental part of such systems. CNN-based object detectors…

Computer Vision and Pattern Recognition · Computer Science 2023-08-16 Marius Lippke , Maurice Quach , Sascha Braun , Daniel Köhler , Michael Ulrich , Bastian Bischoff , Wei Yap Tan

In this investigation we focus on the problem of mapping the ground reflectivity with multiple laser scanners mounted on mobile robots/vehicles. The problem originates because regions of the ground become populated with a varying number of…

Computer Vision and Pattern Recognition · Computer Science 2017-03-10 Juan Castorena