Riemannian Optimization and Its Applications - SpringerBriefs in Electrical and Computer Engineering - Hiroyuki Sato - 書籍 - Springer Nature Switzerland AG - 9783030623890 - 2021年2月18日
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Hiroyuki Sato
Riemannian Optimization and Its Applications - SpringerBriefs in Electrical and Computer Engineering 1st ed. 2021 edition

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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 numerical linear algebra, optimal model reduction in control engineering, and canonical correlation analysis in statistics.

129 pages, 10 Tables, color; 12 Illustrations, color; 3 Illustrations, black and white; IX, 129 p. 1

メディア 書籍     Paperback Book   (ソフトカバーで背表紙を接着した本)
リリース済み 2021年2月18日
ISBN13 9783030623890
出版社 Springer Nature Switzerland AG
ページ数 129
寸法 154 × 234 × 14 mm   ·   228 g
言語 ドイツ語  

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