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Könyv Population-Based Optimization on Riemannian Manifolds Robert Simon Fong

Population-Based Optimization on Riemannian Manifolds

Szerző: Robert Simon Fong, Peter Tino
Nyelv: Angol
Kötés: Kemény kötésű
Kiadó: Springer International Publishing AG
Elérhetőség: Beszállítói készleten
Küldés 10-18 napon belül
27 719 Ft
Manifold optimization is an emerging field of contemporary optimization that constructs efficient an...

Információk a könyvről

Szerző
Robert Simon Fong, Peter Tino
Nyelv
Angol
Kötés
Könyv - Kemény kötésű
Kiadva
2022
oldal
168
EAN
9783031042928
Enbook ID
38898496
Kiadó
Springer International Publishing AG
Súly
442
Méretek
155 x 235 x 15

Teljes leírás

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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