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Titlebook: High-Dimensional Optimization; Set Exploration in t Jack Noonan,Anatoly Zhigljavsky Book 2024 The Editor(s) (if applicable) and The Author(

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書目名稱High-Dimensional Optimization
副標(biāo)題Set Exploration in t
編輯Jack Noonan,Anatoly Zhigljavsky
視頻videohttp://file.papertrans.cn/427/426569/426569.mp4
概述A thorough discussion on the properties and geometrical features of high-dimensional sets.Results on the rate of convergence of a wide class of stochastic global optimization algorithms.Detailed study
叢書名稱SpringerBriefs in Optimization
圖書封面Titlebook: High-Dimensional Optimization; Set Exploration in t Jack Noonan,Anatoly Zhigljavsky Book 2024 The Editor(s) (if applicable) and The Author(
描述.This book is interdisciplinary and unites several areas of applied probability, statistics, and computational mathematics including computer experiments, optimal experimental design, and global optimization. The bulk of the book is based on several recent papers by the authors but also contains new results. Considering applications, this brief highlights multistart and other methods of global optimizations requiring efficient exploration of the domain of optimization. This book is accessible to a wide range of readers; the prerequisites for reading the book are rather low, and many numerical examples are provided that pictorially illustrate the main ideas, methods, and conclusions...The main purpose of this book is the construction of efficient exploration strategies of high-dimensional sets. In high dimensions, the asymptotic arguments could be practically misleading and hence the emphasis on the non-asymptotic regime. An important link with global optimization stems from the observation that approximate covering is one of the key concepts associated with multistart and other key random search algorithms. In addition to global optimization, important applications of the results a
出版日期Book 2024
關(guān)鍵詞quantization; statistical inference; non-asymptotic; Lq norms; high-dimensional cubes; efficient quantiza
版次1
doihttps://doi.org/10.1007/978-3-031-58909-6
isbn_softcover978-3-031-58908-9
isbn_ebook978-3-031-58909-6Series ISSN 2190-8354 Series E-ISSN 2191-575X
issn_series 2190-8354
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
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Jack Noonan,Anatoly ZhigljavskyA thorough discussion on the properties and geometrical features of high-dimensional sets.Results on the rate of convergence of a wide class of stochastic global optimization algorithms.Detailed study
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SpringerBriefs in Optimizationhttp://image.papertrans.cn/h/image/426569.jpg
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Space Exploration: Partial Covering and Quantization,The main developments in this chapter are:
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978-3-031-58908-9The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
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