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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:136/0  |  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:155/0  |  提交时间:2021/01/14
Low-rank matrix recovery  Determinant variety  Rank minimization  Compressed sensing  
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:169/0  |  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:166/0  |  提交时间:2019/03/11
Uncertainty quantification  Data-driven polynomial chaos expansions  Weighted least-squares  Equilibrium measure  
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:148/0  |  提交时间:2018/07/30
Parareal  Time-fractional differential equations  Local time-integrators  
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:137/0  |  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:146/0  |  提交时间:2018/07/30
Phase retrieval  Frame  Sparse signals  Algebraic variety  
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:113/0  |  提交时间:2018/07/30
Unit-norm tight frames  PCM quantization error  Bessel functions