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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
Authors:  Zhou, Heng;  Xu, Zhiqiang
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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
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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
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Low-rank matrices  Phase retrieval  Determinant variety  
An index tracking model with stratified sampling and optimal allocation 期刊论文
APPLIED STOCHASTIC MODELS IN BUSINESS AND INDUSTRY, 2018, 卷号: 34, 期号: 2, 页码: 144-157
Authors:  Wang, Meihua;  Xu, Fengmin;  Dai, Yu-Hong
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index tracking  out-of-sample performance  stratified sampling  stratified hybrid genetic algorithm  s-rar crossover  
AN AUGMENTED LAGRANGIAN TRUST REGION METHOD WITH A BI-OBJECT STRATEGY 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2018, 卷号: 36, 期号: 3, 页码: 331-350
Authors:  Kou, Caixia;  Chen, Zhongwen;  Dai, Yu-Hong;  Han, Haifei
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Nonlinear constrained optimization  Augmented Lagrangian function  Bi-object strategy  Global convergence  
A sparse enhanced indexation model with chance and cardinality constraints 期刊论文
JOURNAL OF GLOBAL OPTIMIZATION, 2018, 卷号: 70, 期号: 1, 页码: 5-25
Authors:  Xu, Fengmin;  Wang, Meihua;  Dai, Yu-Hong;  Xu, Dachuan
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Enhanced indexation  Chance constraint  Mixed integer programming  Distributionally robust approach  
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
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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
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phase retrieval  finite frames  sparse approximation  restricted isometry property  Johnson-Lindenstrauss lemma  
An adaptive Lagrangian algorithm for optimal portfolio deleveraging with cross-impact 期刊论文
JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2017, 卷号: 30, 期号: 5, 页码: 1121-1135
Authors:  Xu, Fengmin;  Sun, Min;  Dai, Yuhong
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Adaptive Lagrangian algorithm  deleveraging  price cross-impact  
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
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Unit-norm tight frames  PCM quantization error  Bessel functions