The time complexity analysis of a class of gene expression programming

Verfasser / Beitragende:
[Xin Du, Youcong Ni, Datong Xie, Xin Yao, Peng Ye, Ruliang Xiao]
Ort, Verlag, Jahr:
2015
Enthalten in:
Soft Computing, 19/6(2015-06-01), 1611-1625
Format:
Artikel (online)
ID: 605468621
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024 7 0 |a 10.1007/s00500-014-1551-y  |2 doi 
035 |a (NATIONALLICENCE)springer-10.1007/s00500-014-1551-y 
245 0 4 |a The time complexity analysis of a class of gene expression programming  |h [Elektronische Daten]  |c [Xin Du, Youcong Ni, Datong Xie, Xin Yao, Peng Ye, Ruliang Xiao] 
520 3 |a This paper studies the time complexity of gene expression programming based on maintaining elitist (ME-GEP). Using the theory of Markov chain and the technique of artificial fitness level, the properties of transition matrices of ME-GEP are analyzed. Based on the properties, the upper and lower bounds of the average time complexity of ME-GEP are obtained. Furthermore, the upper bound is estimated, which is determined by the parameters of ME-GEP algorithm. And the theoretical results acquired in this paper are used to analyze ME-GEP for solving function modeling and clustering problem. At last, a set of experiments are performed on these problems to illustrate the effectiveness of theoretical results. The results show that the upper bound of expected first hitting time can be used to direct the algorithm design of ME-GEP. 
540 |a Springer-Verlag Berlin Heidelberg, 2014 
690 7 |a GEP  |2 nationallicence 
690 7 |a ME-GEP  |2 nationallicence 
690 7 |a Average time complexity  |2 nationallicence 
690 7 |a Artificial fitness level  |2 nationallicence 
690 7 |a Markov chain  |2 nationallicence 
700 1 |a Du  |D Xin  |u Faculty of Software, Fujian Normal University, 350108, Fujian, China  |4 aut 
700 1 |a Ni  |D Youcong  |u Faculty of Software, Fujian Normal University, 350108, Fujian, China  |4 aut 
700 1 |a Xie  |D Datong  |u Department of Information Management Engineering, Fujian Commercial College, 350012, Fujian, China  |4 aut 
700 1 |a Yao  |D Xin  |u The Centre of Excellence for Research in Computational Intelligence and Applications(CERCIA), School of Computer Science, The University of Birmingham, Edgbaston, B15 2TT, Birmingham, UK  |4 aut 
700 1 |a Ye  |D Peng  |u College of Mathematics and Computer, Wuhan Textile University, 430073, Wuhan, China  |4 aut 
700 1 |a Xiao  |D Ruliang  |u Faculty of Software, Fujian Normal University, 350108, Fujian, China  |4 aut 
773 0 |t Soft Computing  |d Springer Berlin Heidelberg  |g 19/6(2015-06-01), 1611-1625  |x 1432-7643  |q 19:6<1611  |1 2015  |2 19  |o 500 
856 4 0 |u https://doi.org/10.1007/s00500-014-1551-y  |q text/html  |z Onlinezugriff via DOI 
898 |a BK010053  |b XK010053  |c XK010000 
900 7 |a Metadata rights reserved  |b Springer special CC-BY-NC licence  |2 nationallicence 
908 |D 1  |a research-article  |2 jats 
949 |B NATIONALLICENCE  |F NATIONALLICENCE  |b NL-springer 
950 |B NATIONALLICENCE  |P 856  |E 40  |u https://doi.org/10.1007/s00500-014-1551-y  |q text/html  |z Onlinezugriff via DOI 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Du  |D Xin  |u Faculty of Software, Fujian Normal University, 350108, Fujian, China  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Ni  |D Youcong  |u Faculty of Software, Fujian Normal University, 350108, Fujian, China  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Xie  |D Datong  |u Department of Information Management Engineering, Fujian Commercial College, 350012, Fujian, China  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Yao  |D Xin  |u The Centre of Excellence for Research in Computational Intelligence and Applications(CERCIA), School of Computer Science, The University of Birmingham, Edgbaston, B15 2TT, Birmingham, UK  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Ye  |D Peng  |u College of Mathematics and Computer, Wuhan Textile University, 430073, Wuhan, China  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Xiao  |D Ruliang  |u Faculty of Software, Fujian Normal University, 350108, Fujian, China  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Soft Computing  |d Springer Berlin Heidelberg  |g 19/6(2015-06-01), 1611-1625  |x 1432-7643  |q 19:6<1611  |1 2015  |2 19  |o 500