Population-based optimization on Riemannian manifolds / Robert Simon Fong, Peter Tino.
Fong, Robert Simon, author.; Tino, Peter, author.
2022
QA649
Available Online

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Title Population-based optimization on Riemannian manifolds / Robert Simon Fong, Peter Tino.
Author Fong, Robert Simon, author.
ISBN 9783031042935 (electronic bk.)
303104293X (electronic bk.)
9783031042928
3031042921
DOI https://doi.org/10.1007/978-3-031-04293-5
Published Cham : Springer, [2022]
Copyright ©2022
Language English
Description 1 online resource
Other Standard Identifiers 10.1007/978-3-031-04293-5 doi
Call Number QA649
Dewey Decimal Classification 516.3/73
Summary Manifold optimization is an emerging field of contemporary optimization that constructs efficient and robust algorithms by exploiting the specific geometrical structure of the search space. In our case the search space takes the form of a manifold. Manifold optimization methods mainly focus on adapting existing optimization methods from the usual "easy-to-deal-with" Euclidean search spaces to manifolds whose local geometry can be defined e.g. by a Riemannian structure. In this way the form of the adapted algorithms can stay unchanged. However, to accommodate the adaptation process, assumptions on the search space manifold often have to be made. In addition, the computations and estimations are confined by the local geometry. This book presents a framework for population-based optimization on Riemannian manifolds that overcomes both the constraints of locality and additional assumptions. Multi-modal, black-box manifold optimization problems on Riemannian manifolds can be tackled using zero-order stochastic optimization methods from a geometrical perspective, utilizing both the statistical geometry of the decision space and Riemannian geometry of the search space. This monograph presents in a self-contained manner both theoretical and empirical aspects of stochastic population-based optimization on abstract Riemannian manifolds.
Bibliography, etc. Note Includes bibliographical references and index.
Access Note Access limited to authorized users.
Source of Description Online resource; title from PDF title page (SpringerLink, viewed June 1, 2022).
Added Author Tino, Peter, author.
Series Studies in computational intelligence ; v. 1046.
Available in Other Form Print version: 9783031042928
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Record Appears in Online Resources > Ebooks
All Resources
Introduction
Riemannian Geometry: A Brief Overview
Elements of Information Geometry
Probability Densities on Manifolds.

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