00000nam a22000004a 4500 UP-8027390931311652366 Buklod 20250604132851.0 m |o d | cr ||||||||||| 250227s2021 xxu r |||| u|eng d 9783030647117 DSTC DLC DLC rda eng DMLUC QA 402.5 Z45 2021 Zhigljavsky, Anatoly author Bayesian and high-dimensional global optimization Anatoly Zhigljavsky , Antanas Žilinskas. First edition. Cham, Switzerland Springer Cham 2021 viii, 118 p illustrations (some color) 24 cm text txt rdacontent unmediated n rdamedia volume nc rdacarrier SpringerBriefs in Optimization Accessible to a variety of readers, this book is of interest to specialists, graduate students and researchers in mathematics, optimization, computer science, operations research, management science, engineering and other applied areas interested in solving optimization problems. Basic principles, potential and boundaries of applicability of stochastic global optimization techniques are examined in this book. A variety of issues that face specialists in global optimization are explored, such as multidimensional spaces which are frequently ignored by researchers. The importance of precise interpretation of the mathematical results in assessments of optimization methods is demonstrated through examples of convergence in probability of random search. Methodological issues concerning construction and applicability of stochastic global optimization methods are discussed, including the one-step optimal average improvement method based on a statistical model of the objective function. A significant portion of this book is devoted to an analysis of high-dimensional global optimization problems and the so-called ‘curse of dimensionality’. An examination of the three different classes of high-dimensional optimization problems, the geometry of high-dimensional balls and cubes, very slow convergence of global random search algorithms in large-dimensional problems , and poor uniformity of the uniformly distributed sequences of points are included in this book. Description provided by publisher. Mathematical optimization. Programming Nonconvex programming. Žilinskas, Antanas author. FO Printed UPD DSTC QA 402.5-402.6 Z45 2021 Book