Convergence Analysis of a Class of Computational Intelligence Approaches
Joint Authors
Hua, Mingang
Ni, Jianjun
Chen, Junfeng
Source
Mathematical Problems in Engineering
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-05-30
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
Computational intelligence approaches is a relatively new interdisciplinary field of research with many promising application areas.
Although the computational intelligence approaches have gained huge popularity, it is difficult to analyze the convergence.
In this paper, a computational model is built up for a class of computational intelligence approaches represented by the canonical forms of generic algorithms, ant colony optimization, and particle swarm optimization in order to describe the common features of these algorithms.
And then, two quantification indices, that is, the variation rate and the progress rate, are defined, respectively, to indicate the variety and the optimality of the solution sets generated in the search process of the model.
Moreover, we give four types of probabilistic convergence for the solution set updating sequences, and their relations are discussed.
Finally, the sufficient conditions are derived for the almost sure weak convergence and the almost sure strong convergence of the model by introducing the martingale theory into the Markov chain analysis.
American Psychological Association (APA)
Chen, Junfeng& Ni, Jianjun& Hua, Mingang. 2013. Convergence Analysis of a Class of Computational Intelligence Approaches. Mathematical Problems in Engineering،Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-1009313
Modern Language Association (MLA)
Chen, Junfeng…[et al.]. Convergence Analysis of a Class of Computational Intelligence Approaches. Mathematical Problems in Engineering No. 2013 (2013), pp.1-10.
https://search.emarefa.net/detail/BIM-1009313
American Medical Association (AMA)
Chen, Junfeng& Ni, Jianjun& Hua, Mingang. Convergence Analysis of a Class of Computational Intelligence Approaches. Mathematical Problems in Engineering. 2013. Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-1009313
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1009313