期刊文献+

A Brief Introduction to Manifold Optimization 被引量:7

原文传递
导出
摘要 Manifold optimization is ubiquitous in computational and appliedmathematics,statistics,engineering,machine learning,physics,chemistry,etc.One of the main challenges usually is the non-convexity of the manifold constraints.By utilizing the geometry of manifold,a large class of constrained optimization problems can be viewed as unconstrained optimization problems on manifold.From this perspective,intrinsic structures,optimality conditions and numerical algorithms for manifold optimization are investigated.Some recent progress on the theoretical results of manifold optimization is also presented.
出处 《Journal of the Operations Research Society of China》 EI CSCD 2020年第2期199-248,共50页 中国运筹学会会刊(英文)
基金 Xin Liu’s research was supported in part by the National Natural Science Foundation of China(No.11971466) Key Research Program of Frontier Sciences,Chinese Academy of Sciences(No.ZDBS-LY-7022) the National Center for Mathematics and Interdisciplinary Sciences,Chinese Academy of Sciences and the Youth Innovation Promotion Association,CAS.Zai-Wen Wen’s research was supported in part by the the National Natural Science Foundation of China(Nos.11421101 and 11831002) the Beijing Academy of Artificial Intelligence.Ya-Xiang Yuan’s research was supported in part by the National Natural Science Foundation of China(Nos.11331012 and 11461161005).
  • 相关文献

同被引文献11

引证文献7

二级引证文献2

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部