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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  
Towards constraining parity-violations in gravity with satellite gradiometry 期刊论文
PHYSICS LETTERS B, 2019, 卷号: 789, 页码: 378-386
Authors:  Xu, Peng;  Wang, Zhi;  Qiang, Li-E
Favorite  |  View/Download:18/0  |  Submit date:2019/03/11
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
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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  
科学与工程计算的方法和应用———基于国家自然科学基金创新研究群体项目研究成果的综述 期刊论文
中国科学基金, 2018, 卷号: 032, 期号: 002, 页码: 141
Authors:  曹礼群;  陈志明;  许志强;  袁亚湘;  张林波;  郑伟英;  周爱辉
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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:12/0  |  Submit date:2018/07/30
Phaseless recovery  phase retrieval  Gauss-Newton method  quadratic convergence  
Robustness properties of dimensionality reduction with Gaussian random matrices 期刊论文
SCIENCE CHINA-MATHEMATICS, 2017, 卷号: 60, 期号: 10, 页码: 1753-1778
Authors:  Han, Bin;  Xu, ZhiQiang
Favorite  |  View/Download:7/0  |  Submit date:2018/07/30
phase retrieval  finite frames  sparse approximation  restricted isometry property  Johnson-Lindenstrauss lemma  
Improvement of the lower bound of the PCM quantization error for vectors in R-2 期刊论文
JOURNAL OF APPROXIMATION THEORY, 2017, 卷号: 215, 页码: 1-12
Authors:  Zhou, Heng;  Xu, Zhiqiang
Favorite  |  View/Download:4/0  |  Submit date:2018/07/30
Unit-norm tight frames  PCM quantization error  Bessel functions