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Chebyshev center of the intersection of balls: complexity, relaxation and approximation 期刊论文
Authors:  Xia, Yong;  Yang, Meijia;  Wang, Shu
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Chebyshev center  Minimax  Nonconvex quadratic optimization  Semidefinite programming  Strong duality  Linear programming  Approximation  Complexity  
Extended ADMM and BCD for nonseparable convex minimization models with quadratic coupling terms: convergence analysis and insights 期刊论文
MATHEMATICAL PROGRAMMING, 2019, 卷号: 173, 期号: 1-2, 页码: 37-77
Authors:  Chen, Caihua;  Li, Min;  Liu, Xin;  Ye, Yinyu
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Nonseparable convex minimization  Alternating direction method of multipliers  Block coordinate descent method  Iterate convergence  Random permutation  
Optimal estimation of sensor biases for asynchronous multi-sensor data fusion 期刊论文
MATHEMATICAL PROGRAMMING, 2018, 卷号: 170, 期号: 1, 页码: 357-386
Authors:  Pu, Wenqiang;  Liu, Ya-Feng;  Yan, Junkun;  Liu, Hongwei;  Luo, Zhi-Quan
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Block coordinate decent algorithm  Nonlinear least squares  Sensor registration problem  Tightness of semidefinite relaxation  
Spectral operators of matrices 期刊论文
MATHEMATICAL PROGRAMMING, 2018, 卷号: 168, 期号: 1-2, 页码: 509-531
Authors:  Ding, Chao;  Sun, Defeng;  Sun, Jie;  Toh, Kim-Chuan
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Spectral operators  Directional differentiability  Frechet differentiability  Matrix valued functions  Proximal mappings  
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
Authors:  Ding, Chao;  Qi, Hou-Duo
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Euclidean distance matrix  Convex matrix optimization  Multidimensional scaling  Nonlinear dimensionality reduction  Low-rank matrix  Error bounds  Random graph models  
A smoothing SQP framework for a class of composite minimization over polyhedron 期刊论文
MATHEMATICAL PROGRAMMING, 2016, 卷号: 158, 期号: 1-2, 页码: 467-500
Authors:  Liu, Ya-Feng;  Ma, Shiqian;  Dai, Yu-Hong;  Zhang, Shuzhong
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Composite L-q minimization  epsilon-KKT point  Nonsmooth nonconvex non-Lipschitzian optimization  Optimality condition  Smoothing approximation  Worst-case iteration complexity  
A framework of constraint preserving update schemes for optimization on Stiefel manifold 期刊论文
MATHEMATICAL PROGRAMMING, 2015, 卷号: 153, 期号: 2, 页码: 535-575
Authors:  Jiang, Bo;  Dai, Yu-Hong
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Stiefel manifold  Orthogonality constraint  Sphere constraint  Range space  Null space  Barzilai-Borwein-like method  Feasible  Adaptive nonmonotone line search  Low-rank correlation matrix  Kohn-Sham total energy minimization  Heterogeneous quadratic functions  
On the convergence and worst-case complexity of trust-region and regularization methods for unconstrained optimization 期刊论文
MATHEMATICAL PROGRAMMING, 2015, 卷号: 152, 期号: 1-2, 页码: 491-520
Authors:  Grapiglia, Geovani N.;  Yuan, Jinyun;  Yuan, Ya-xiang
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Global convergence  Worst-case complexity  Trust-region methods  Regularization methods  Unconstrained Optimization  Composite nonsmooth optimization  Multiobjective optimization  
Recent advances in trust region algorithms 期刊论文
MATHEMATICAL PROGRAMMING, 2015, 卷号: 151, 期号: 1, 页码: 249-281
Authors:  Yuan, Ya-xiang
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Trust region algorithms  Nonlinear optimization  Subproblem  Complexity  Convergence  
A null-space primal-dual interior-point algorithm for nonlinear optimization with nice convergence properties 期刊论文
MATHEMATICAL PROGRAMMING, 2010, 卷号: 125, 期号: 1, 页码: 163-193
Authors:  Liu, Xinwei;  Yuan, Yaxiang
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Global and local convergences  Null-space technique  Primal-dual interior-point methods  Nonlinear optimization with inequality and equality constraints