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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:61/0  |  提交时间:2023/02/07
Orthogonally decomposable tensors  Low rank orthogonal tensor approximation  R-linear convergence  Sublinear convergence  Global convergence  
An efficient Lorentz equivariant graph neural network for jet tagging 期刊论文
Journal of High Energy Physics, 2022, 卷号: 2022, 期号: 7
作者:  Gong,Shiqi;  Meng,Qi;  Zhang,Jue;  Qu,Huilin;  Li,Congqiao;  Qian,Sitian;  Du,Weitao;  Ma,Zhi-Ming;  Liu,Tie-Yan
收藏  |  浏览/下载:90/0  |  提交时间:2022/10/08
Jets and Jet Substructure  Top Quark  
A strain gradient brittle fracture model based on two-scale asymptotic analysis 期刊论文
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, 2022, 卷号: 159, 页码: 19
作者:  Rao, Yipeng;  Xiang, Meizhen;  Cui, Junzhi
收藏  |  浏览/下载:105/0  |  提交时间:2022/06/21
Brittle fracture  Strain gradient  Griffith criterion  Asymptotic analysis  
STRAIN TENSORS AND MATCHING PROPERTY ON DEGENERATED HYPERBOLIC SURFACES 期刊论文
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2022, 卷号: 54, 期号: 4, 页码: 4930-4953
作者:  Chen, Liang-Biao;  Yao, Peng-Fei
收藏  |  浏览/下载:47/0  |  提交时间:2023/02/07
shell  nonlinear elasticity  Riemannian geometry  tensor analysis  
Well-posedness for the linearized free boundary problem of incompressible ideal magnetohydrodynamics equations 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2021, 卷号: 299, 页码: 542-601
作者:  Hao, Chengchun;  Luo, Tao
收藏  |  浏览/下载:151/0  |  提交时间:2021/10/26
Incompressible ideal magnetohydrodynamics equations  Linearized equations  Free boundary problem  Local well-posedness  
Strain tensors on hyperbolic surfaces and their applications 期刊论文
JOURNAL OF FUNCTIONAL ANALYSIS, 2021, 卷号: 281, 期号: 1, 页码: 36
作者:  Yao, Peng-Fei
收藏  |  浏览/下载:174/0  |  提交时间:2021/06/01
Keywords hyperbolic surface  Shell  Nonlinear elasticity  Riemannian geometry  
Topology of tensor ranks 期刊论文
ADVANCES IN MATHEMATICS, 2020, 卷号: 367, 页码: 46
作者:  Comon, Pierre;  Lim, Lek-Heng;  Qi, Yang;  Ye, Ke
收藏  |  浏览/下载:139/0  |  提交时间:2020/05/24
Border rank  Symmetric rank  Multilinear rank  Path-connectedness  Homotopy groups  Bott periodicity  
Generalised semi-tensor product of matrices 期刊论文
IET CONTROL THEORY AND APPLICATIONS, 2020, 卷号: 14, 期号: 1, 页码: 85-95
作者:  Cheng, Daizhan;  Liu, Zequn;  Xu, Zhenhui;  Shen, Tielong
收藏  |  浏览/下载:167/0  |  提交时间:2020/05/24
vectors  tensors  matrix algebra  group theory  linear S-system  dynamic linear system  matrix multiplier  vector multiplier two kinds  matrix-vector STPs  standard STP  consistent MM-STP  MV-STP  cross-dimensional linear system  linear semigroup system  quotient matrix space  quotient vector space  S-system structure  quotient vector spaces  inner-product  cross-dimensional state space  matrix-matrix STPs  generalised semitensor product  
Symmetric rank-1 approximation of symmetric high-order tensors 期刊论文
OPTIMIZATION METHODS & SOFTWARE, 2019, 页码: 23
作者:  Wu, Leqin;  Liu, Xin;  Wen, Zaiwen
收藏  |  浏览/下载:131/0  |  提交时间:2020/05/24
Rank-1 approximation  symmetric tensor  proximal alternating linearized minimization  Bose?Einstein condensate  
LINEAR STRAIN TENSORS ON HYPERBOLIC SURFACES AND ASYMPTOTIC THEORIES FOR THIN SHELLS 期刊论文
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2019, 卷号: 51, 期号: 2, 页码: 1387-1435
作者:  Yao, Peng-Fei
收藏  |  浏览/下载:143/0  |  提交时间:2020/01/10
hyperbolic surface  shell  nonlinear elasticity  Riemannian geometry