Mathematical Foundations of Nature-Inspired Algorithms. 1st ed. 2019

種類:

電子ブック

責任表示:

by Xin-She Yang, Xing-Shi He

出版情報:

Cham : Springer International Publishing : Imprint: Springer, 2019

著者名:

• Yang, Xin-She.
• He, Xing-Shi.
• SpringerLink (Online service)

シリーズ名:

SpringerBriefs in Optimization ;

ISBN:

9783030169367 [3030169367]    

注記:

1 Introduction to Optimization -- 2 Nature-Inspired Algorithms -- 3 Mathematical Foundations -- 4 Mathematical Analysis I -- 5 Mathematical Analysis II.
This book presents a systematic approach to analyze nature-inspired algorithms. Beginning with an introduction to optimization methods and algorithms, this book moves on to provide a unified framework of mathematical analysis for convergence and stability. Specific nature-inspired algorithms include: swarm intelligence, ant colony optimization, particle swarm optimization, bee-inspired algorithms, bat algorithm, firefly algorithm, and cuckoo search. Algorithms are analyzed from a wide spectrum of theories and frameworks to offer insight to the main characteristics of algorithms and understand how and why they work for solving optimization problems. In-depth mathematical analyses are carried out for different perspectives, including complexity theory, fixed point theory, dynamical systems, self-organization, Bayesian framework, Markov chain framework, filter theory, statistical learning, and statistical measures. Students and researchers in optimization, operations research, artificial intelligence, data minin

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