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Matrix optimization based Euclidean embedding with outliers 期刊论文
COMPUTATIONAL OPTIMIZATION AND APPLICATIONS, 2021, 卷号: 79, 期号: 2, 页码: 235-271
作者:  Zhang, Qian;  Zhao, Xinyuan;  Ding, Chao
收藏  |  浏览/下载:137/0  |  提交时间:2021/10/26
Euclidean embedding  Outliers  Matrix optimizationg  Low-rank matrix  Error bound  
A theoretic study of a distance-based regression model 期刊论文
SCIENCE CHINA-MATHEMATICS, 2019, 卷号: 62, 期号: 5, 页码: 979-998
作者:  Li, Jialu;  Zhang, Wei;  Zhang, Sanguo;  Li, Qizhai
收藏  |  浏览/下载:161/0  |  提交时间:2020/01/10
distance-based regression  Euclidean  pseudo F test statistic  Mahalanobis  
Locality preserving projection on SPD matrix Lie group: algorithm and analysis 期刊论文
SCIENCE CHINA-INFORMATION SCIENCES, 2018, 卷号: 61, 期号: 9, 页码: 15
作者:  Li, Yangyang;  Lu, Ruqian
收藏  |  浏览/下载:165/0  |  提交时间:2018/07/30
manifold learning  SPD matrix Lie group  locally preserving projection  Laplace operator  Log Euclidean metric  
Optimal distributed stochastic mirror descent for strongly convex optimization 期刊论文
AUTOMATICA, 2018, 卷号: 90, 页码: 196-203
作者:  Yuan, Deming;  Hong, Yiguang;  Ho, Daniel W. C.;  Jiang, Guoping
收藏  |  浏览/下载:150/0  |  提交时间:2018/07/30
Distributed stochastic optimization  Strong convexity  Non-Euclidean divergence  Mirror descent  Epoch gradient descent  Optimal convergence rate  
Convex optimization learning of faithful Euclidean distance representations in nonlinear dimensionality reduction 期刊论文
MATHEMATICAL PROGRAMMING, 2017, 卷号: 164, 期号: 1-2, 页码: 341-381
作者:  Ding, Chao;  Qi, Hou-Duo
收藏  |  浏览/下载:166/0  |  提交时间:2018/07/30
Euclidean distance matrix  Convex matrix optimization  Multidimensional scaling  Nonlinear dimensionality reduction  Low-rank matrix  Error bounds  Random graph models  
Convex Euclidean distance embedding for collaborative position localization with NLOS mitigation 期刊论文
COMPUTATIONAL OPTIMIZATION AND APPLICATIONS, 2017, 卷号: 66, 期号: 1, 页码: 187-218
作者:  Ding, Chao;  Qi, Hou-Duo
收藏  |  浏览/下载:145/0  |  提交时间:2018/07/30
Euclidean distance matrix  Collaborative localization  Non-line of sight (NLOS)  Augmented Lagrangian  Alternating direction method of multipliers (ADMM)  
Classification of Quadratic Harmonic Maps of S-7 into S-7 期刊论文
JOURNAL OF GEOMETRIC ANALYSIS, 2015, 卷号: 25, 期号: 3, 页码: 1992-2010
作者:  Wu, Faen;  Xiong, Yueshan;  Zhao, Xinnuan
收藏  |  浏览/下载:125/0  |  提交时间:2018/07/30
Euclidean sphere  Eigenmap  Orthogonal multiplication  Moduli space  Classification  
Convergence of a smoothing algorithm for symmetric cone complementarity problems with a nonmonotone line search 期刊论文
SCIENCE IN CHINA SERIES A-MATHEMATICS, 2009, 卷号: 52, 期号: 4, 页码: 833-848
作者:  Huang ZhengHai;  Hu ShengLong;  Han JiYe
收藏  |  浏览/下载:107/0  |  提交时间:2018/07/30
complementarity problem  symmetric cone  Euclidean Jordan algebra  smoothing algorithm  global convergence  
Sufficiency of linear transformations on Euclidean Jordan algebras 期刊论文
OPTIMIZATION LETTERS, 2009, 卷号: 3, 期号: 2, 页码: 265-276
作者:  Qin, Linxia;  Kong, Lingchen;  Han, Jiye
收藏  |  浏览/下载:88/0  |  提交时间:2018/07/30
Linear transformation  Euclidean Jordan algebra  Column-sufficiency  Row-sufficiency  
PROPERTIES OF A CLASS OF NONLINEAR TRANSFORMATIONS OVER EUCLIDEAN JORDAN ALGEBRAS WITH APPLICATIONS TO COMPLEMENTARITY PROBLEMS 期刊论文
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2009, 卷号: 30, 期号: 7-8, 页码: 799-821
作者:  Lu, Nan;  Huang, Zheng-Hai;  Han, Jiye
收藏  |  浏览/下载:115/0  |  提交时间:2018/07/30
Euclidean Jordan algebra  Relaxation transformation  Smoothing algorithm  Symmetric cone complementarity problem