Simplicial Global Optimization (SpringerBriefs in Optimization) - Softcover

Buch 14 von 43: SpringerBriefs in Optimization

Paulavičius, Remigijus; Žilinskas, Julius

 
9781461490920: Simplicial Global Optimization (SpringerBriefs in Optimization)
Softcover
ISBN 10: 1461490928 ISBN 13: 9781461490920
Verlag: Springer, 2013

Inhaltsangabe

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 partitioning presented. This book will leave readers inspired to develop simplicial versions of other algorithms for global optimization and even use other non-rectangular partitions for special applications.

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Críticas

“This is an excellent book written by the well-known specialists in the field of global optimization. The book can be equally useful for beginners and experts in global optimization. An interested reader may even be inspired to develop simplicial versions of other global optimization algorithms. I am sure that this book is a very valuable addition to the literature on global optimization and will be very much appreciated by grateful readers.” (Anatoly Zhigljavsky, Journal of Global Optimization, Vol. 60, 2014)

Reseña del editor

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 partitioning presented. This book will leave readers inspired to develop simplicial versions of other algorithms for global optimization and even use other non-rectangular partitions for special applications.

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Verlag
Springer
Erscheinungsdatum
2013
Sprache
Englisch
ISBN 10 
1461490928
ISBN 13 
9781461490920
Einband
Tapa blanda
Anzahl der Seiten
148
Kontakt zum Hersteller
Nicht verfügbar
Verantwortliche Person
CMN Printpool Inh. Mathis Neumann
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Hamburg
Deutschland

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Vorgestellte Ausgabe

ISBN 10:  1461490944 ISBN 13:  9781461490944
Verlag: Springer, 2013
Softcover