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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
作者:  Xu, Zhiqiang;  Xu, Zili
收藏  |  浏览/下载：134/0  |  提交时间：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
作者:  Rong, Yi;  Wang, Yang;  Xu, Zhiqiang
收藏  |  浏览/下载：153/0  |  提交时间：2021/01/14
Low-rank matrix recovery  Determinant variety  Rank minimization  Compressed sensing  
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
作者:  Huang, Meng;  Xu, Zhiqiang
收藏  |  浏览/下载：132/0  |  提交时间：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
作者:  Huang, Meng;  Xu, Zhiqiang
收藏  |  浏览/下载：138/0  |  提交时间：2020/05/24
Low-rank matrix recovery  Non-convex optimization  Phase retrieval  
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：160/0  |  提交时间：2019/03/05
p-set  deterministic sampling  numerical integral  exponential sum  
Adaptive multi-fidelity polynomial chaos approach to Bayesian inference in inverse problems 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2019, 卷号: 381, 页码: 110-128
作者:  Yan, Liang;  Zhou, Tao
收藏  |  浏览/下载：166/0  |  提交时间：2019/03/11
Bayesian inverse problems  Multi-fidelity polynomial chaos  Surrogate modeling  Markov chain Monte Carlo  
Data-driven polynomial chaos expansions: A weighted least-square approximation 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2019, 卷号: 381, 页码: 129-145
作者:  Guo, Ling;  Liu, Yongle;  Zhou, Tao
收藏  |  浏览/下载：161/0  |  提交时间：2019/03/11
Uncertainty quantification  Data-driven polynomial chaos expansions  Weighted least-squares  Equilibrium measure  
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  
Parareal algorithms with local time-integrators for time-fractional differential equations 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2018, 卷号: 358, 页码: 135-149
作者:  Wu, Shu-Lin;  Zhou, Tao
收藏  |  浏览/下载：140/0  |  提交时间：2018/07/30
Parareal  Time-fractional differential equations  Local time-integrators