An analysis of the operation of differential evolution at high and low crossover rates

Author(s)

Montgomery, James; Chen, Stephen

Available versions

Abstract

A key parameter affecting the operation of differential evolution (DE) is the crossover rate Cr 2 [0; 1]. While very low values are recommended for and used with separable problems, on non-separable problems, which include most realworld problems, Cr = 0:9 has become the de facto standard, working well across a large range of problem domains. Recent work on separable and non-separable problems has shown that lower-dimensional searches can play an important role in the performance of search techniques in higher-dimensional search spaces. However, the standard value of Cr = 0:9 implies a very high-dimensional search, which is not effective for other search techniques. An analysis of Cr across its range [0; 1] provides insight into how its value affects the performance of DE and suggests how low values may be used to improve the performance of DE. This new understanding of the operation of DE at high and low crossover rates is useful for analysing how adaptive parameters affect DE performance and leads to new suggestions for how adaptive DE techniques might be developed.

Publication year

2010

Publication type

Conference paper

Source

2010 IEEE Congress on Evolutionary Computation (CEC 2010), held as part of the 2010 IEEE World Congress on Computational Intelligence (IEEE WCCI 2010), Barcelona, Spain, 18-23 July 2010, pp. 881-888

Publisher

IEEE

ISBN

9781424481262

Copyright

Copyright © 2010 IEEE. The published version is reproduced in accordance with the copyright policy of the publisher. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.

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