| 书目名称 | Riemannian Optimization and Its Applications |
| 编辑 | Hiroyuki Sato |
| 视频video | |
| 概述 | Details the Riemannian conjugate gradient method so that the reader can make light work of implementing the algorithm.An accessible journey from unconstrained optimization in Euclidean space to Rieman |
| 丛书名称 | SpringerBriefs in Electrical and Computer Engineering |
| 图书封面 |  |
| 描述 | .This brief describes the basics of Riemannian optimization—optimization on Riemannian manifolds—introduces algorithms for Riemannian optimization problems, discusses the theoretical properties of these algorithms, and suggests possible applications of Riemannian optimization to problems in other fields..To provide the reader with a smooth introduction to Riemannian optimization, brief reviews of mathematical optimization in Euclidean spaces and Riemannian geometry are included. Riemannian optimization is then introduced by merging these concepts. In particular, the Euclidean and Riemannian conjugate gradient methods are discussed in detail. A brief review of recent developments in Riemannian optimization is also provided. . . Riemannian optimization methods are applicable to many problems in various fields. This brief discusses some important applications including the eigenvalue and singular value decompositions in numericallinear algebra, optimal model reduction in control engineering, and canonical correlation analysis in statistics.. |
| 出版日期 | Book 2021 |
| 关键词 | Riemannian Optimization; Optimization on Manifolds; Conjugate Gradient Method; Singular Value Decomposi |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-030-62391-3 |
| isbn_softcover | 978-3-030-62389-0 |
| isbn_ebook | 978-3-030-62391-3Series ISSN 2191-8112 Series E-ISSN 2191-8120 |
| issn_series | 2191-8112 |
| copyright | The Author(s), under exclusive license to Springer Nature Switzerland AG 2021 |
发表于 2025-3-21 19:21:00
