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The minimizers of the p-frame potential 期刊论文
APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS, 2021, 卷号: 52, 页码: 366-379
Authors:  Xu, Zhiqiang;  Xu, Zili
Favorite  |  View/Download:1/0  |  Submit date:2021/04/26
Frame potential  Tight frames  Spherical designs  
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:29/0  |  Submit date:2021/01/14
Low-rank matrix recovery  Determinant variety  Rank minimization  Compressed sensing  
The recovery of complex sparse signals from few phaseless measurements 期刊论文
APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS, 2021, 卷号: 50, 页码: 1-15
Authors:  Xia, Yu;  Xu, Zhiqiang
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Almost everywhere generalized phase retrieval 期刊论文
APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS, 2021, 卷号: 50, 页码: 16-33
Authors:  Huang, Meng;  Rong, Yi;  Wang, Yang;  Xu, Zhiqiang
Favorite  |  View/Download:27/0  |  Submit date:2021/01/14
Frames  Phase retrieval  
The Estimation Performance of Nonlinear Least Squares for Phase Retrieval 期刊论文
IEEE TRANSACTIONS ON INFORMATION THEORY, 2020, 卷号: 66, 期号: 12, 页码: 7967-7977
Authors:  Huang, Meng;  Xu, Zhiqiang
Favorite  |  View/Download:1/0  |  Submit date:2021/04/26
Phase retrieval  estimation performance  nonlinear least squares  nonlinear Lasso  
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:15/0  |  Submit date:2020/05/24
Low-rank matrix recovery  Non-convex optimization  Phase retrieval  
Perturbed Amplitude Flow for Phase Retrieval 期刊论文
IEEE TRANSACTIONS ON SIGNAL PROCESSING, 2020, 卷号: 68, 页码: 5427-5440
Authors:  Gao, Bing;  Sun, Xinwei;  Wang, Yang;  Xu, Zhiqiang
Favorite  |  View/Download:3/0  |  Submit date:2021/01/14
Phase retrieval  perturbed amplitude flow  linear convergence  
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
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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:31/0  |  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:21/0  |  Submit date:2019/03/05
Gradient-enhanced l(1) minimization  compressed sensing  sparse Fourier expansions  restricted isometry property  mutual incoherence