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A semismooth Newton based augmented Lagrangian method for nonsmooth optimization on matrix manifolds 期刊论文
MATHEMATICAL PROGRAMMING, 2022, 页码: 61
作者:  Zhou, Yuhao;  Bao, Chenglong;  Ding, Chao;  Zhu, Jun
收藏  |  浏览/下载：74/0  |  提交时间：2023/02/07
Nonsmooth manifold optimization  Semismooth Newton method  Augmented Lagrangian method  Riemannian manifold  
Understanding the acceleration phenomenon via high-resolution differential equations 期刊论文
MATHEMATICAL PROGRAMMING, 2022, 卷号: 195, 期号: 1-2, 页码: 79-148
作者:  Shi, Bin;  Du, Simon S.;  Jordan, Michael, I;  Su, Weijie J.
收藏  |  浏览/下载：85/0  |  提交时间：2023/02/07
Convex optimization  First-order method  Polyak's heavy ball method  Nesterov's accelerated gradient methods  Ordinary differential equation  Lyapunov function  Gradient minimization  
Homogenization for polynomial optimization with unbounded sets 期刊论文
MATHEMATICAL PROGRAMMING, 2022, 页码: 41
作者:  Huang, Lei;  Nie, Jiawang;  Yuan, Ya-Xiang
收藏  |  浏览/下载：85/0  |  提交时间：2023/02/07
Polynomial optimization  Homogenization  Moment-SOS relaxations  Optimality conditions  
Linear convergence of an alternating polar decomposition method for low rank orthogonal tensor approximations 期刊论文
MATHEMATICAL PROGRAMMING, 2022, 页码: 60
作者:  Hu, Shenglong;  Ye, Ke
收藏  |  浏览/下载：74/0  |  提交时间：2023/02/07
Orthogonally decomposable tensors  Low rank orthogonal tensor approximation  R-linear convergence  Sublinear convergence  Global convergence  
The augmented lagrangian method can approximately solve convex optimization with least constraint violation 期刊论文
MATHEMATICAL PROGRAMMING, 2022, 页码: 35
作者:  Dai, Yu-Hong;  Zhang, Liwei
收藏  |  浏览/下载：119/0  |  提交时间：2023/02/07
Convex optimization  Least constraint violation  Augmented Lagrangian method  Shifted problem  Optimal value mapping  Solution mapping  Dual function  Conjugate dual