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Mathematical Foundations of Nature-Inspired Algorithms (Briefs in Optimization)
Authors: Xin-She Yang - Xing-Shi He
ISBN-10 书号: 3030169359
ISBN-13 书号: 9783030169350
Edition 版本: 1st ed. 2019
Released: 2019-05-08
pages 页数: 107 pages
Book Description
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 mining,machine learning,computer science,and management sciences will see the pros and cons of a variety of algorithms through detailed examples and a comparison of algorithms.
