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Phase retrieval from the norms of affine transformations 期刊论文
ADVANCES IN APPLIED MATHEMATICS, 2021, 卷号: 130, 页码: 20
Authors:  Huang, Meng;  Xu, Zhiqiang
Favorite  |  View/Download:20/0  |  Submit date:2021/10/26
Phase retrieval  Determinant variety  Matrix recovery  
Almost everywhere injectivity conditions for the matrix recovery problem 期刊论文
APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS, 2021, 卷号: 50, 页码: 386-400
Authors:  Rong, Yi;  Wang, Yang;  Xu, Zhiqiang
Favorite  |  View/Download:55/0  |  Submit date:2021/01/14
Low-rank matrix recovery  Determinant variety  Rank minimization  Compressed sensing  
Sparse Phase Retrieval Via PhaseLiftOff 期刊论文
IEEE TRANSACTIONS ON SIGNAL PROCESSING, 2021, 卷号: 69, 页码: 2129-2143
Authors:  Xia, Yu;  Xu, Zhiqiang
Favorite  |  View/Download:19/0  |  Submit date:2021/10/26
Signal recovery  phase retrieval  compressed sensing  restricted isometry property  compressed phaseless sensing  
SOLVING SYSTEMS OF QUADRATIC EQUATIONS VIA EXPONENTIAL-TYPE GRADIENT DESCENT ALGORITHM 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2020, 卷号: 38, 期号: 4, 页码: 638-660
Authors:  Huang, Meng;  Xu, Zhiqiang
Favorite  |  View/Download:42/0  |  Submit date:2020/05/24
Low-rank matrix recovery  Non-convex optimization  Phase retrieval  
Generalized phase retrieval: Measurement number, matrix recovery and beyond 期刊论文
APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS, 2019, 卷号: 47, 期号: 2, 页码: 423-446
Authors:  Wang, Yang;  Xu, Zhiqiang
Favorite  |  View/Download:47/0  |  Submit date:2020/01/10
Phase retrieval  Frames  Fusion frames  Fourier transform  Measurement number  Low rank matrix recovery  Bilinear form  Embedding  
Data recovery in inverse scattering: From limited-aperture to full-aperture 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2019, 卷号: 386, 页码: 350-364
Authors:  Liu, Xiaodong;  Sun, Jiguang
Favorite  |  View/Download:83/0  |  Submit date:2020/01/10
Inverse scattering  Multi-static response matrix  Limited-aperture  Data recovery  
A Gradient-Enhanced l(1) Approach for the Recovery of Sparse Trigonometric Polynomials 期刊论文
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2018, 卷号: 24, 期号: 1, 页码: 286-308
Authors:  Xu, Zhiqiang;  Zhou, Tao
Favorite  |  View/Download:41/0  |  Submit date:2019/03/05
Gradient-enhanced l(1) minimization  compressed sensing  sparse Fourier expansions  restricted isometry property  mutual incoherence  
The minimal measurement number for low-rank matrix recovery 期刊论文
APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS, 2018, 卷号: 44, 期号: 2, 页码: 497-508
Authors:  Xu, Zhiqiang
Favorite  |  View/Download:40/0  |  Submit date:2018/07/30
Low-rank matrices  Phase retrieval  Determinant variety  
Phaseless Recovery Using the Gauss-Newton Method 期刊论文
IEEE TRANSACTIONS ON SIGNAL PROCESSING, 2017, 卷号: 65, 期号: 22, 页码: 5885-5896
Authors:  Gao, Bing;  Xu, Zhiqiang
Favorite  |  View/Download:49/0  |  Submit date:2018/07/30
Phaseless recovery  phase retrieval  Gauss-Newton method  quadratic convergence  
The l(1)-Analysis in Phase Retrieval with Redundant Dictionary 期刊论文
JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS, 2017, 卷号: 23, 期号: 5, 页码: 1097-1117
Authors:  Gao, Bing
Favorite  |  View/Download:29/0  |  Submit date:2018/07/30
Compressed sensing  Phase retrieval  Sparse recovery  l(1)-analysis