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Simplicial Global Optimization

種類:
電子ブック
責任表示:
by Remigijus Paulavičius, Julius Žilinskas
出版情報:
New York, NY : Springer New York : Imprint: Springer, 2014
著者名:
シリーズ名:
SpringerBriefs in Optimization ;
ISBN:
9781461490937 [1461490936]  CiNii Books  Calil
注記:
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 an
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