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Linear screening for high-dimensional computer experiments 期刊论文
STAT, 2021, 卷号: 10, 期号: 1, 页码: 9
Authors:  Li, Chunya;  Chen, Daijun;  Xiong, Shifeng
Favorite  |  View/Download:75/0  |  Submit date:2022/04/02
best linear approximation  best subset regression  nonlinear model  sure independence screening  
Dual-density-based reweighted l(1)-algorithms for a class of l(0)-minimization problems 期刊论文
JOURNAL OF GLOBAL OPTIMIZATION, 2021, 页码: 24
Authors:  Xu, Jialiang;  Zhao, Yun-Bin
Favorite  |  View/Download:137/0  |  Submit date:2021/06/01
Merit functions for sparsity  l(0)-minimization  Dual-density-based algorithm  Strict complementarity  Bilevel optimization  Convex relaxation  
Optimal design for kernel interpolation: Applications to uncertainty quantification 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2021, 卷号: 430, 页码: 19
Authors:  Narayan, Akil;  Yan, Liang;  Zhou, Tao
Favorite  |  View/Download:107/0  |  Submit date:2021/04/26
Kernel interpolation  Fekete points  Cholesky decomposition with pivoting  Hermite interpolation  Uncertainty quantification  
Inverse electromagnetic obstacle scattering problems with multi-frequency sparse backscattering far field data 期刊论文
Inverse Problems, 2020, 卷号: 36, 期号: 10
Authors:  Arens,Tilo;  Ji,Xia;  Liu,Xiaodong
Favorite  |  View/Download:89/0  |  Submit date:2021/01/14
electromagnetic obstacle scattering  sparse backscattering data  uniqueness  direct sampling methods  
Better Approximations of High Dimensional Smooth Functions by Deep Neural Networks with Rectified Power Units 期刊论文
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2020, 卷号: 27, 期号: 2, 页码: 379-411
Authors:  Li, Bo;  Tang, Shanshan;  Yu, Haijun
Favorite  |  View/Download:99/0  |  Submit date:2020/05/24
Deep neural network  high dimensional approximation  sparse grids  rectified linear unit  rectified power unit  rectified quadratic unit  
Efficient projected gradient methods for cardinality constrained optimization 期刊论文
SCIENCE CHINA-MATHEMATICS, 2019, 卷号: 62, 期号: 2, 页码: 245-268
Authors:  Xu, Fengmin;  Dai, Yuhong;  Zhao, Zhihu;  Xu, Zongben
Favorite  |  View/Download:137/0  |  Submit date:2019/04/02
sparse approximation  projected gradient method  global convergence  signal recovery  index tracking  
A new piecewise quadratic approximation approach for L-0 norm minimization problem 期刊论文
SCIENCE CHINA-MATHEMATICS, 2019, 卷号: 62, 期号: 1, 页码: 185-204
Authors:  Li, Qian;  Bai, Yanqin;  Yu, Changjun;  Yuan, Ya-xiang
Favorite  |  View/Download:162/0  |  Submit date:2019/03/05
sparse optimization  non-convex approximation  iterative thresholding algorithm  
FAST EIGENPAIRS COMPUTATION WITH OPERATOR ADAPTED WAVELETS AND HIERARCHICAL SUBSPACE CORRECTION 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2019, 卷号: 57, 期号: 6, 页码: 2519-2550
Authors:  Xie, Hehu;  Zhang, Lei;  Owhadi, Houman
Favorite  |  View/Download:101/0  |  Submit date:2020/09/23
multiscale eigenvalue problem  gamblet decomposition  multigrid iteration  subspace correction  numerical homogenization  
On sparse beamformer design with reverberation 期刊论文
APPLIED MATHEMATICAL MODELLING, 2018, 卷号: 58, 页码: 98-110
Authors:  Li, Zhibao;  Yiu, Ma Fai Cedric;  Dai, Yu-Hong
Favorite  |  View/Download:117/0  |  Submit date:2018/07/30
Sparse beamformer design  Reverberation  Nonconvex optimization  Smoothing approximation  Smoothing BB-gradient method  
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
Favorite  |  View/Download:104/0  |  Submit date:2018/07/30
Enhanced indexation  Chance constraint  Mixed integer programming  Distributionally robust approach