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.
| ISBN: | 9783030623890 |
| Publication date: | 18th February 2021 |
| Author: | Hiroyuki Sato |
| Publisher: | Springer an imprint of Springer International Publishing |
| Format: | Paperback |
| Pagination: | 129 pages |
| Series: | SpringerBriefs in Electrical and Computer Engineering |
| Genres: |
Automatic control engineering Cybernetics and systems theory Algebra Probability and statistics Optimization |
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.
Riemannian Optimization and Its Applications. SpringerBriefs in Control, Automation and Robotics features in the following genres: Automatic control engineering, Cybernetics and systems theory, Algebra, Probability and statistics, Optimization
Paperback. £53.99, down from the £59.99 cover price. Not Available.
Riemannian Optimization and Its Applications. SpringerBriefs in Control, Automation and Robotics was written by Hiroyuki Sato and published by Springer an imprint of Springer International Publishing
Riemannian Optimization and Its Applications. SpringerBriefs in Control, Automation and Robotics has 129 pages
Yes it is part of SpringerBriefs in Electrical and Computer Engineering series
£53.99, reduced from £59.99. Not Available.