Fixed Budget Performance of the (1+1) EA on Linear Functions

Fixed Budget Performance of the (1+1) EA on Linear Functions
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(1 1) EA 在线性函数上的固定预算性能

DOI:
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发表时间:
2015
期刊:
Foundations of Genetic Algorithms
影响因子:
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通讯作者:
N. Spooner
N. Spooner
中科院分区:
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文献类型:
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作者:
J. Lengler;N. Spooner

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We present a fixed budget analysis of the (1+1) evolutionary algorithm for general linear functions, considering both the quality of the solution after a predetermined 'budget' of fitness function evaluations (a priori) and the improvement in quality when the algorithm is given additional budget, given the quality of the current solution (a posteriori). Two methods are presented: one based on drift analysis, the other on the differential equation method and Chebyshev's inequality. While the first method is superior for general linear functions, the second can be more precise for specific functions and provides concentration guarantees. As an example, we provide tight a posteriori fixed budget results for the function OneMax.
DOI: 10.1007/s00453-011-9585-3
发表时间: 2010-09
期刊: Algorithmica
影响因子: 1.1
作者:
Benjamin Doerr;L. A. Goldberg
通讯作者: Benjamin Doerr;L. A. Goldberg