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We study the problem of estimating a low-rank positive semidefinite (PSD) matrix from a set of rank-one measurements using sensing vectors composed of i.i.d. standard Gaussian entries, which are possibly corrupted by arbitrary outliers.…

Information Theory · Computer Science 2016-12-21 Yuanxin Li , Yue Sun , Yuejie Chi

This paper presents an adaptive and intelligent sparse model for digital image sampling and recovery. In the proposed sampler, we adaptively determine the number of required samples for retrieving image based on space-frequency-gradient…

Computer Vision and Pattern Recognition · Computer Science 2017-11-27 Ali Taimori , Farokh Marvasti

We introduce an efficient implementation of sparse recovery methods for the problem of harmonic estimation with 2D sparse arrays using a single snapshot. By imposing a uniformity constraint on the harmonic grids of the subdictionaries used…

Signal Processing · Electrical Eng. & Systems 2025-09-18 Youval Klioui

The focus of this work is to explore the use of quantum annealing solvers for the problem of phase unwrapping of synthetic aperture radar (SAR) images. Although solutions to this problem exist based on network programming, these techniques…

Computer Vision and Pattern Recognition · Computer Science 2020-10-02 Khaled A. Helal Kelany , Nikitas Dimopoulos , Clemens P. J. Adolphs , Bardia Barabadi , Amirali Baniasadi

We consider the problem of recovering an unknown effectively $(s_1,s_2)$-sparse low-rank-$R$ matrix $X$ with possibly non-orthogonal rank-$1$ decomposition from incomplete and inaccurate linear measurements of the form $y = \mathcal A (X) +…

Numerical Analysis · Mathematics 2020-07-29 Massimo Fornasier , Johannes Maly , Valeriya Naumova

Sparse signal reconstruction algorithms have attracted research attention due to their wide applications in various fields. In this paper, we present a simple Bayesian approach that utilizes the sparsity constraint and a priori statistical…

Statistics Theory · Mathematics 2015-06-05 Ahmed A. Quadeer , Tareq Y. Al-Naffouri

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

Millimeter-wave radars are being increasingly integrated into commercial vehicles to support advanced driver-assistance system features. A key shortcoming for present-day vehicular radar imaging is poor azimuth resolution (for side-looking…

Signal Processing · Electrical Eng. & Systems 2021-06-07 Xiangyu Gao , Sumit Roy , Guanbin Xing

We have developed an approximate signal recovery algorithm with low computational cost for compressed sensing on the basis of randomly constructed sparse measurement matrices. The law of large numbers and the central limit theorem suggest…

Information Theory · Computer Science 2011-02-21 Yoshiyuki Kabashima , Tadashi Wadayama

Designing efficient sparse recovery algorithms that could handle noisy quantized measurements is important in a variety of applications -- from radar to source localization, spectrum sensing and wireless networking. We take advantage of the…

Signal Processing · Electrical Eng. & Systems 2022-05-24 Shuai Huang , Deqiang Qiu , Trac D. Tran

We study Sigma-Delta quantization methods coupled with appropriate reconstruction algorithms for digitizing randomly sampled low-rank matrices. We show that the reconstruction error associated with our methods decays polynomially with the…

Information Theory · Computer Science 2018-04-18 Eric Lybrand , Rayan Saab

This paper presents measures to reduce the computation time of automotive synthetic aperture radar (SAR) imaging to achieve real-time capability. For this, the image formation, which is based on the Back-Projection algorithm, was thoroughly…

Signal Processing · Electrical Eng. & Systems 2023-06-19 Marcel Hoffmann , Theresa Noegel , Christian Schüßler , Lars Schwenger , Peter Gulden , Dietmar Fey , Martin Vossiek

Recent advancements in Deep Learning (DL) for Direction of Arrival (DOA) estimation have highlighted its superiority over traditional methods, offering faster inference, enhanced super-resolution, and robust performance in low…

Signal Processing · Electrical Eng. & Systems 2024-05-07 Ruxin Zheng , Shunqiao Sun , Hongshan Liu , Honglei Chen , Mojtaba Soltanalian , Jian Li

Recently, so called annihilating filer-based low rank Hankel matrix (ALOHA) approach was proposed as a powerful image inpainting method. Based on the observation that smoothness or textures within an image patch corresponds to sparse…

Computer Vision and Pattern Recognition · Computer Science 2015-10-20 Kyong Hwan Jin , Jong Chul Ye

The growing urban complexity demands an efficient algorithm to acquire and process various sensor information from autonomous vehicles. In this paper, we introduce an algorithm to utilize object detection results from the image to…

Computer Vision and Pattern Recognition · Computer Science 2021-03-02 Madhumitha Sakthi , Ahmed Tewfik

We present an algorithm to reduce the computational effort for the multiplication of a given matrix with an unknown column vector. The algorithm decomposes the given matrix into a product of matrices whose entries are either zero or integer…

Information Theory · Computer Science 2020-02-28 Ralf R. Müller , Bernhard Gäde , Ali Bereyhi

In this paper, we study the missing sample recovery problem using methods based on sparse approximation. In this regard, we investigate the algorithms used for solving the inverse problem associated with the restoration of missed samples of…

Machine Learning · Statistics 2017-06-29 Amirhossein Javaheri , Hadi Zayyani , Farokh Marvasti

The earlier works in the context of low-rank-sparse-decomposition (LRSD)-driven stationary synthetic aperture radar (SAR) imaging have shown significant improvement in the reconstruction-decomposition process. Neither of the proposed…

Image and Video Processing · Electrical Eng. & Systems 2025-12-12 Hamid Reza Hashempour , Majid Moradikia , Hamed Bastami , Ahmed Abdelhadi , Mojtaba Soltanalian

One-bit compressed sensing (1bCS) is an extreme-quantized signal acquisition method that has been intermittently studied in the past decade. In 1bCS, linear samples of a high dimensional signal are quantized to only one bit per sample (sign…

Information Theory · Computer Science 2021-09-15 Arya Mazumdar , Soumyabrata Pal

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
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