Bayesian and High Dimensional Global Optimization is popular PDF and ePub book, written by Anatoly Zhigljavsky in 2021-03-02, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Bayesian and High Dimensional Global Optimization can be Read Online from any device for your convenience.
Bayesian and High Dimensional Global Optimization Book PDF Summary
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.
Detail Book of Bayesian and High Dimensional Global Optimization PDF
- Author : Anatoly Zhigljavsky
- Release : 02 March 2021
- Publisher : Springer Nature
- ISBN : 9783030647124
- Genre : Mathematics
- Total Page : 125 pages
- Language : English
- PDF File Size : 13,8 Mb
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