| On the impact of objective function transformations on evolutionary and black-box algorithms |
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Genetic And Evolutionary Computation Conference
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Proceedings of the 2005 conference on Genetic and evolutionary computation
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Washington DC, USA
SESSION: Evolutionary strategies and evolutionary programming
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Pages: 833 - 840
Year of Publication: 2005
ISBN:1-59593-010-8
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Downloads (6 Weeks): 2, Downloads (12 Months): 18, Citation Count: 2
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ABSTRACT
Different fitness functions describe different problems. Hence, certain fitness transformations can lead to easier problems although they are still a model of the considered problem. In this paper, the class of neutral transformations for a simple rank-based evolutionary algorithm (EA) is described completely, i.e., the class of functions that transfers easy problems for this EA in easy ones and difficult problems in difficult ones. Moreover, the class of neutral transformations for this population-based EA is equal to the black-box neutral transformations. Hence, it is a proper superset of the corresponding class for an EA based on fitness-proportional selection, but it is a proper subset of the class for random search. Furthermore, the minimal and maximal classes of neutral transformations are investigated in detail.
REFERENCES
Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.
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S. Droste, T. Jansen, and I. Wegener. Upper and lower bounds for randomized search heuristics in black-box optimization. Theory of Computing Systems, 2005. Accepted for publication.
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T. Storch. On the choice of the population size. In Genetic and Evolutionary Computation Conference -- GECCO 2004, LNCS 3102, pages 748--760, 2004.
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C. Witt. Worst-case and average-case approximations by simple randomized search heuristics. In Symposium on Theoretical Aspects of Computer Science -- STACS 2005, LNCS 3404, pages 44--56, 2005.
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