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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
作者:  Zhou, Heng;  Xu, Zhiqiang
收藏  |  浏览/下载:161/0  |  提交时间: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
作者:  Xu, Zhiqiang;  Zhou, Tao
收藏  |  浏览/下载:142/0  |  提交时间: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
作者:  Xu, Zhiqiang
收藏  |  浏览/下载:136/0  |  提交时间: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
作者:  Gao, Bing;  Sun, Qiyu;  Wang, Yang;  Xu, Zhiqiang
收藏  |  浏览/下载:144/0  |  提交时间:2018/07/30
Phase retrieval  Frame  Sparse signals  Algebraic 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
作者:  Gao, Bing;  Xu, Zhiqiang
收藏  |  浏览/下载:146/0  |  提交时间:2018/07/30
Phaseless recovery  phase retrieval  Gauss-Newton method  quadratic convergence  
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
作者:  Zhou, Heng;  Xu, Zhiqiang
收藏  |  浏览/下载:110/0  |  提交时间:2018/07/30
Unit-norm tight frames  PCM quantization error  Bessel functions