成果/Result
- On a new proximity condition for manifold-valued subdivision schemes被引量：21收藏
- 作者：Duchamp, Tom Xie, Gang Yu, Thomas
- 机构： Department of Mathematics; Department of Mathematics; Department of Mathematics
- 来源：Springer Proceedings in Mathematics and Statistics 2014
- 关键词：Equivalence classes - Dynamical systems - Three dimensional computer graphics - Approximation algorithms
- Convergence of Online Gradient Method with Momentum for BP Neural Network被引量：21收藏
- 作者：Pan, Chengyan Xie, Gang
- 机构： School of Science
- 来源：IOP Conference Series: Earth and Environmental Science 2021
- 关键词：Backpropagation - Multilayer neural networks - Momentum - Network layers
- Smoothness equivalence properties of interpolatory Lie group subdivision schemes被引量：12收藏
- 作者：Xie, Gang Yu, Thomas P. -Y.
- 机构：Drexel Univ;E China Univ Sci & Technol
- 来源：IMA JOURNAL OF NUMERICAL ANALYSIS 2010
- 关键词：subdivision schemes Lie groups matrix Lie groups interpolation smoothness equivalence breakdown of smoothness equivalence
- Single Basepoint Subdivision Schemes for Manifold-valued Data: Time-Symmetry Without Space-Symmetry被引量：7收藏
- 作者：Duchamp, Tom Xie, Gang Yu, Thomas
- 机构：Univ Washington;E China Univ Sci & Technol;Drexel Univ
- 来源：FOUNDATIONS OF COMPUTATIONAL MATHEMATICS 2013
- 关键词：Nonlinear subdivision Affine connection Retraction Exponential map Riemannian manifold Symmetric space Curvature Time-symmetry
- Approximation order equivalence properties of manifold-valued data subdivision schemes被引量：6收藏
- 作者：Xie, Gang Yu, Thomas P-Y.
- 机构：E China Univ Sci & Technol;Drexel Univ
- 来源：IMA JOURNAL OF NUMERICAL ANALYSIS 2012
- 关键词：approximation order subdivision scheme nonlinear subdivision scheme interpolation quasiinterpolation manifold
- A Necessary and Sufficient Proximity Condition for Smoothness Equivalence of Nonlinear Subdivision Schemes被引量：3收藏
- 作者：Duchamp, Tom Xie, Gang Yu, Thomas
- 机构：Univ Washington;East China Univ Sci & Technol;Drexel Univ
- 来源：FOUNDATIONS OF COMPUTATIONAL MATHEMATICS 2016
- 关键词：Differential proximity condition Nonlinear subdivision Manifold Curvature Symmetry Super-convergence Zgymund class Dynamical system Poincare-Dulac normal form Resonance
- Study a new mesh simplification method in reverse engineering被引量：0收藏
- 作者：Zhao, Hongqing Yang, Yanzhen Xie, Gang
- 机构：East China Univ Sci & Technol;Shangdong Jiaotong Univ
- 来源：SECOND INTERNATIONAL SYMPOSIUM ON COMPUTATIONAL INTELLIGENCE AND DESIGN, VOL 2, PROCEEDINGS 2009
- 关键词：mesh simplification changing rate of surface subdivision surface reverse engineering
