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Exact recovery of a sparse solution for an underdetermined system of linear equations implies full search among all possible subsets of the dictionary, which is computationally intractable, while l1 minimization will do the job when a…

信息论 · 计算机科学 2014-12-22 Mohsen Joneidi , Mahdi Barzegar Khalilsarai , Alireza Zaeemzadeh , Nazanin Rahnavard

The newly emerging theory of compressed sensing (CS) enables restoring a sparse signal from inadequate number of linear projections. Based on compressed sensing theory, a new algorithm of high-resolution range profiling for…

信息论 · 计算机科学 2010-11-19 Yang Hu , Yimin Liu , Huadong Meng , Xiqin Wang

The recovery of a low rank matrix from a subset of noisy low-precision quantized samples arises in several applications such as collaborative filtering, intelligent recommendation and millimeter wave channel estimation with few bit ADCs. In…

信息论 · 计算机科学 2019-11-25 Jiang Zhu , Zhennan Liu , Qi Zhang , Chunyi Song , Zhiwei Xu

The estimation of land cover fractions from remote sensing images is a frequently used indicator of the environmental quality. This paper focuses on the quantification of land cover fractions in an urban area of Berlin, Germany, using…

计算机视觉与模式识别 · 计算机科学 2018-02-09 Lukas Drees , Ribana Roscher , Susanne Wenzel

Passive synthetic aperture radar (SAR) uses existing signals of opportunity such as communication and broadcasting signals. In our prior work, we have developed a low-rank matrix recovery (LRMR) method that can reconstruct scenes with…

计算工程、金融与科学 · 计算机科学 2017-11-10 Eric Mason , Birsen Yazici

Millimeter wave beam alignment (BA) is a challenging problem especially for large number of antennas. Compressed sensing (CS) tools have been exploited due to the sparse nature of such channels. This paper presents a novel deterministic CS…

信号处理 · 电气工程与系统科学 2020-04-03 Erfan Khordad , Iain B. Collings , Stephen V. Hanly

Line spectral estimation theory aims to estimate the off-the-grid spectral components of a time signal with optimal precision. Recent results have shown that it is possible to recover signals having sparse line spectra from few temporal…

信息论 · 计算机科学 2017-01-31 Maxime Ferreira Da Costa , Wei Dai

We study the robust matrix completion problem for the low-rank Hankel matrix, which detects the sparse corruptions caused by extreme outliers while we try to recover the original Hankel matrix from the partial observation. In this paper, we…

信息论 · 计算机科学 2025-04-17 HanQin Cai , Jian-Feng Cai , Juntao You

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,…

机器学习 · 统计学 2015-06-05 Yiyuan She , Huanghuang Li , Jiangping Wang , Dapeng Wu

We study the problem of noisy sparse array interpolation, where a large virtual array is synthetically generated by interpolating missing sensors using matrix completion techniques that promote low rank. The current understanding is quite…

信号处理 · 电气工程与系统科学 2024-01-15 Robin Rajamäki , Mehmet Can Hücümenoğlu , Pulak Sarangi , Piya Pal

Antenna arrays are widely used in wireless communication, radar systems, radio astronomy, and military defense to enhance signal strength, directivity, and interference suppression. We introduce a deep learning-based optimization approach…

机器学习 · 计算机科学 2025-04-25 David Lu , Lior Maman , Jackson Earls , Amir Boag , Pierre Baldi

In this paper, we consider the challenge of reconstructing jointly sparse vectors from linear measurements. Firstly, we show that by utilizing the rank of the output data matrix we can reduce the problem to a full column rank case. This…

数值分析 · 数学 2019-05-28 Armenak Petrosyan , Hoang Tran , Clayton Webster

Automotive synthetic aperture radar (SAR) can achieve a significant angular resolution enhancement for detecting static objects, which is essential for automated driving. Obtaining high resolution SAR images requires precise ego vehicle…

信号处理 · 电气工程与系统科学 2022-04-25 Oded Bialer , Tom Tirer

Singular values of a data in a matrix form provide insights on the structure of the data, the effective dimensionality, and the choice of hyper-parameters on higher-level data analysis tools. However, in many practical applications such as…

机器学习 · 统计学 2017-03-21 Ashish Khetan , Sewoong Oh

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

信息论 · 计算机科学 2022-11-01 Namiko Matsumoto , Arya Mazumdar , Soumyabrata Pal

We solve the analysis sparse coding problem considering a combination of convex and non-convex sparsity promoting penalties. The multi-penalty formulation results in an iterative algorithm involving proximal-averaging. We then unfold the…

Radars are an ideal complement to cameras: both are inexpensive, solid-state sensors, with cameras offering fine angular resolution, while radars provide metric depth and robustness under adverse weather. However, radar data is more…

计算机视觉与模式识别 · 计算机科学 2026-05-27 Chuhan Chen , Tianshu Huang , Akarsh Prabhakara , Chaithanya Kumar Mummadi , Zhongxiao Cong , Anthony Rowe , Matthew O'Toole , Deva Ramanan

One-bit radar, performing signal sampling and quantization by a one-bit ADC, is a promising technology for many civilian applications due to its low-cost and low-power consumptions. In this paper, problems encountered by one-bit LFMCW radar…

信号处理 · 电气工程与系统科学 2020-09-11 Benzhou Jin , Jiang Zhu , Qihui Wu , Yuhong Zhang , Zhiwei Xu

We propose a robust and efficient approach to the problem of compressive phase retrieval in which the goal is to reconstruct a sparse vector from the magnitude of a number of its linear measurements. The proposed framework relies on…

信息论 · 计算机科学 2015-10-28 Sohail Bahmani , Justin Romberg

We propose a unified framework to solve general low-rank plus sparse matrix recovery problems based on matrix factorization, which covers a broad family of objective functions satisfying the restricted strong convexity and smoothness…

机器学习 · 统计学 2018-02-21 Xiao Zhang , Lingxiao Wang , Quanquan Gu