Towards a Runtime Comparison of Natural and Artificial Evolution

作者: Tiago Paixão , Jorge Pérez Heredia , Dirk Sudholt , Barbora Trubenová

DOI: 10.1007/S00453-016-0212-1

关键词:

摘要: Evolutionary algorithms (EAs) form a popular optimisation paradigm inspired by natural evolution. In recent years the field of evolutionary computation has developed rigorous analytical theory to analyse runtimes EAs on many illustrative problems. Here we apply this simple model Strong Selection Weak Mutation (SSWM) regime time between occurrences new mutations is much longer than it takes for mutated genotype take over population. situation, population only contains copies one and evolution can be modelled as stochastic process evolving means mutation selection resident genotype. The probability accepting then depends change in fitness. We study process, SSWM, from an algorithmic perspective, quantifying its expected various parameters investigating differences similar algorithm, well-known (1+1) EA. show that SSWM have moderate advantage EA at crossing fitness valleys example where outperforms taking information gradient.

参考文章(37)
Carsten Witt, Worst-case and average-case approximations by simple randomized search heuristics symposium on theoretical aspects of computer science. pp. 44- 56 ,(2005) , 10.1007/978-3-540-31856-9_4
Daniel Johannsen, Random combinatorial structures and randomized search heuristics Universität des Saarlandes Saarbrücken. ,(2010) , 10.22028/D291-26016
Thomas Jansen, Pietro S. Oliveto, Christine Zarges, On the analysis of the immune-inspired B-cell algorithm for the vertex cover problem international conference on artificial immune systems. pp. 117- 131 ,(2011) , 10.1007/978-3-642-22371-6_13
Frank Neumann, Expected runtimes of evolutionary algorithms for the Eulerian cycle problem congress on evolutionary computation. ,vol. 35, pp. 2750- 2759 ,(2004) , 10.1016/J.COR.2006.12.009
Tiago Paixão, Golnaz Badkobeh, Nick Barton, Doğan Çörüş, Duc-Cuong Dang, Tobias Friedrich, Per Kristian Lehre, Dirk Sudholt, Andrew M Sutton, Barbora Trubenová, None, Toward a unifying framework for evolutionary processes Journal of Theoretical Biology. ,vol. 383, pp. 28- 43 ,(2015) , 10.1016/J.JTBI.2015.07.011
John H. Gillespie, MOLECULAR EVOLUTION OVER THE MUTATIONAL LANDSCAPE Evolution. ,vol. 38, pp. 1116- 1129 ,(1984) , 10.1111/J.1558-5646.1984.TB00380.X