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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:6/0  |  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:13/0  |  Submit date:2020/01/10
Phase retrieval  Frames  Fusion frames  Fourier transform  Measurement number  Low rank matrix recovery  Bilinear form  Embedding  
On Generalizations of p-Sets and their Applications 期刊论文
NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS, 2019, 卷号: 12, 期号: 2, 页码: 453-466
Authors:  Zhou, Heng;  Xu, Zhiqiang
Favorite  |  View/Download:21/0  |  Submit date:2019/03/05
p-set  deterministic sampling  numerical integral  exponential sum  
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:13/0  |  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:10/0  |  Submit date:2018/07/30
Low-rank matrices  Phase retrieval  Determinant variety  
Phase retrieval from the magnitudes of affine linear measurements 期刊论文
ADVANCES IN APPLIED MATHEMATICS, 2018, 卷号: 93, 页码: 121-141
Authors:  Gao, Bing;  Sun, Qiyu;  Wang, Yang;  Xu, Zhiqiang
Favorite  |  View/Download:12/0  |  Submit date:2018/07/30
Phase retrieval  Frame  Sparse signals  Algebraic variety  
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
Authors:  Xu, Zhiqiang;  Zhou, Tao
Favorite  |  View/Download:7/0  |  Submit date:2019/12/31
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
Authors:  Xu, Zhiqiang
Favorite  |  View/Download:11/0  |  Submit date:2019/12/31
Phase retrieval from the magnitudes of affine linear measurements 期刊论文
ADVANCES IN APPLIED MATHEMATICS, 2018, 卷号: 93, 页码: 121
Authors:  Gao, Bing;  Sun, Qiyu;  Wang, Yang;  Xu, Zhiqiang
Favorite  |  View/Download:7/0  |  Submit date:2019/12/31
Phase retrieval by hyperplanes 期刊论文
Contemporary Mathematics, 2018, 卷号: 706, 页码: 21
Authors:  Botelho-Andrade, Sara;  Casazza, Peter G.;  Cheng, Desai;  Haas, John;  Tran, Tin T.;  Tremain, Janet C.;  Xu, Zhiqiang
Favorite  |  View/Download:7/0  |  Submit date:2019/12/31