A Brief Introduction to Manifold Optimization
文献类型：期刊论文
| 作者 | Hu Jiang2; Liu Xin1; Wen Zaiwen2; Yuan Yaxiang1 |
| 刊名 | Journal of the Operations Research Society of China
 |
| 出版日期 | 2020 |
| 卷号 | 8期号:2页码:199-248 |
| 关键词 | Convergence First-order-type algorithms Manifold optimization Retraction Second-order-type algorithms |
| ISSN号 | 2194-668X |
| 英文摘要 | Manifold optimization is ubiquitous in computational and applied mathematics, 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. |
| 语种 | 英语 |
| CSCD记录号 | CSCD:6758202 |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/53051]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 作者单位 | 1.中国科学院数学与系统科学研究院 2.Beijing International Center for Mathematical Research,Peking University |
| 推荐引用方式 GB/T 7714 | Hu Jiang,Liu Xin,Wen Zaiwen,et al. A Brief Introduction to Manifold Optimization[J]. Journal of the Operations Research Society of China,2020,8(2):199-248. |
| APA | Hu Jiang,Liu Xin,Wen Zaiwen,&Yuan Yaxiang.(2020).A Brief Introduction to Manifold Optimization.Journal of the Operations Research Society of China,8(2),199-248. |
| MLA | Hu Jiang,et al."A Brief Introduction to Manifold Optimization".Journal of the Operations Research Society of China 8.2(2020):199-248. |
入库方式： OAI收割
来源：数学与系统科学研究院
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