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Titlebook: Simplicial Global Optimization; Remigijus Paulavičius,Julius Žilinskas Book 2014 Remigijus Paulavičius, Julius Žilinskas 2014 Lipschitz op

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书目名称Simplicial Global Optimization
编辑Remigijus Paulavičius,Julius Žilinskas
视频video
概述Extends class of algorithms for Lipschitz global optimization without the Lipschitz constant.Contains a deep investigation of particular cases of simplicial partitions.Provides applications where simp
丛书名称SpringerBriefs in Optimization
图书封面Titlebook: Simplicial Global Optimization;  Remigijus Paulavičius,Julius Žilinskas Book 2014 Remigijus Paulavičius, Julius Žilinskas 2014 Lipschitz op
描述.Simplicial Global Optimization. is centered on deterministic covering methods partitioning feasible region by simplices. This book looks into the advantages of simplicial partitioning in global optimization through applications where the search space may be significantly reduced while taking into account symmetries of the objective function by setting linear inequality constraints that are managed by initial partitioning. The authors provide an extensive experimental investigation and illustrates the impact of various bounds, types of subdivision, strategies of candidate selection on the performance of algorithms. A comparison of various Lipschitz bounds over simplices and an extension of Lipschitz global optimization with-out the Lipschitz constant to the case of simplicial partitioning is also depicted in this text. Applications benefiting from simplicial partitioning are examined in detail such as nonlinear least squares regression and pile placement optimization in grillage-type foundations. Researchers and engineers will benefit from simplicial partitioning algorithms such as Lipschitz branch and bound, Lipschitz optimization without the Lipschitz constant, heuristic partitio
出版日期Book 2014
关键词Lipschitz optimization; Simplicial partitions; branch and bound; heuristic partitioning; nonlinear least
版次1
doihttps://doi.org/10.1007/978-1-4614-9093-7
isbn_softcover978-1-4614-9092-0
isbn_ebook978-1-4614-9093-7Series ISSN 2190-8354 Series E-ISSN 2191-575X
issn_series 2190-8354
copyrightRemigijus Paulavičius, Julius Žilinskas 2014
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发表于 2025-3-21 23:14:06 | 显示全部楼层
Book 2014antages of simplicial partitioning in global optimization through applications where the search space may be significantly reduced while taking into account symmetries of the objective function by setting linear inequality constraints that are managed by initial partitioning. The authors provide an
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Simplicial Lipschitz Optimization Without Lipschitz Constant,nto account the local information about the behavior of the objective function over every small subregion of .. It has been demonstrated in [74, 116, 126, 134] that estimation of the local Lipschitz constants during the search allows significant acceleration of the global search. Naturally, balancin
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Applications of Global Optimization Benefiting from Simplicial Partitions,lobal optimization problems with a symmetric objective functions. As it was discussed in Sect. . the feasible region may be reduced by setting linear constraints in order to avoid equivalent subregions due to the symmetry in the objective function. The resulting constrained feasible region can be co
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und physiologisch gesehen einen hohen Nährwert (Brennwert) besitzen. Unter den Nährstoffen zählen sie zu den größten Energielieferanten (1 g Fett = 9,3 kcal = 38,9 kJ). Fette sind in der Regel mit zahlreichen Begleitstoffen (Lipoiden) vergesellschaftet, die biogenetisch in naher Beziehung zueinande
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