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Population-Based Optimization on Riemannian Manifolds
Af: Robert Simon Fong, Peter Tino
Engelsk
Bogcover for Population-Based Optimization on Riemannian Manifolds af Robert Simon Fong, Peter Tino, 9783031042928
Specifikationer
Sprog:
Engelsk
Sider:
168
ISBN-13:
9783031042928
Indbinding:
Hardback
Udgave:
ISBN-10:
3031042921
Udg. Dato:
18 maj 2022
Længde:
0mm
Bredde:
155mm
Højde:
235mm
Forlag:
Springer International Publishing AG
Oplagsdato:
18 maj 2022
Forfatter(e):
Robert Simon Fong, Peter Tino
Genre:

Population-Based Optimization on Riemannian Manifolds

Af: Robert Simon Fong, Peter Tino
Engelsk
Hardback
Format:
Hardback
Om denne bog
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.
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Specifikationer
Sprog:
Engelsk
Sider:
168
ISBN-13:
9783031042928
Indbinding:
Hardback
Udgave:
ISBN-10:
3031042921
Udg. Dato:
18 maj 2022
Længde:
0mm
Bredde:
155mm
Højde:
235mm
Forlag:
Springer International Publishing AG
Oplagsdato:
18 maj 2022
Forfatter(e):
Robert Simon Fong, Peter Tino
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