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Titlebook: Population-Based Optimization on Riemannian Manifolds; Robert Simon Fong,Peter Tino Book 2022 The Editor(s) (if applicable) and The Author

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書目名稱Population-Based Optimization on Riemannian Manifolds
編輯Robert Simon Fong,Peter Tino
視頻videohttp://file.papertrans.cn/752/751606/751606.mp4
概述Presents recent research on Population-based Optimization on Riemannian manifolds.Addresses the locality and implicit assumptions of manifold optimization.Presents a novel population-based optimizatio
叢書名稱Studies in Computational Intelligence
圖書封面Titlebook: Population-Based Optimization on Riemannian Manifolds;  Robert Simon Fong,Peter Tino Book 2022 The Editor(s) (if applicable) and The Author
描述.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 pr
出版日期Book 2022
關(guān)鍵詞Computational Intelligence; Population-based Optimization Algorithm; Riemannian Manifolds; Manifold Opt
版次1
doihttps://doi.org/10.1007/978-3-031-04293-5
isbn_softcover978-3-031-04295-9
isbn_ebook978-3-031-04293-5Series ISSN 1860-949X Series E-ISSN 1860-9503
issn_series 1860-949X
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
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