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Optimizing Epochal Evolutionary Search: Population-Size Independent Theory

1998/10/12 by Erik van Nimwegen, James P. Crutchfield, van Nimwegen, Erik +1
Biochemistry, Genetics and Molecular Biology · Physics and Astronomy · #Adaptation and Self-Organizing Systems (nlin.AO) #FOS: Biological sciences #FOS: Physical sciences #Populations and Evolution (q-bio.PE) #adap-org #nlin.AO #q-bio.PE

paper · pdf · doi:10.48550/arxiv.adap-org/9810003

18 pages, 5 figures, see archive at http://www.santafe.edu/~evca/

arxiv created 1998/10/12 · arxiv updated 2009/11/30

Abstract

Epochal dynamics, in which long periods of stasis in population fitness are punctuated by sudden innovations, is a common behavior in both natural and artificial evolutionary processes. We use a recent quantitative mathematical analysis of epochal evolution to estimate, as a function of population size and mutation rate, the average number of fitness function evaluations to reach the global optimum. This is then used to derive estimates of and bounds on evolutionary parameters that minimize search effort.

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