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  Reducing the Arity in Unbiased Black-Box Complexity

Doerr, B., & Winzen, C. (2012). Reducing the Arity in Unbiased Black-Box Complexity. In T. Soule, & J. H. Moore (Eds.), GECCO'12 (pp. 1309-1316). New York, NY: ACM.

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Item Permalink: https://hdl.handle.net/11858/00-001M-0000-0014-BC79-3 Version Permalink: https://hdl.handle.net/11858/00-001M-0000-0023-BFFE-7
Genre: Conference Paper

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 Creators:
Doerr, Benjamin1, Author           
Winzen, Carola1, Author           
Affiliations:
1Algorithms and Complexity, MPI for Informatics, Max Planck Society, ou_24019              

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 Abstract: We show that for all 1<k ≤q \log n the k-ary unbiased black-box complexity of the n-dimensional \onemax function class is O(n/k). This indicates that the power of higher arity operators is much stronger than what the previous O(n/\log k) bound by Doerr et al. (Faster black-box algorithms through higher arity operators, Proc. of FOGA 2011, pp. 163--172, ACM, 2011) suggests. The key to this result is an encoding strategy, which might be of independent interest. We show that, using k-ary unbiased variation operators only, we may simulate an unrestricted memory of size O(2^k) bits.

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Language(s): eng - English
 Dates: 2012
 Publication Status: Issued
 Pages: -
 Publishing info: -
 Table of Contents: -
 Rev. Type: -
 Identifiers: DOI: 10.1145/2330163.2330345
BibTex Citekey: DoerrW12GECCO
Other: Local-ID: F43640574DFB1172C1257ACD004205B2-DoerrW12GECCO
 Degree: -

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Title: Fourteenth International Conference on Genetic and Evolutionary Computation
Place of Event: Philadelphia, PA
Start-/End Date: 2012-07-07 - 2012-07-11

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Title: GECCO'12
  Subtitle : Proceedings of the Fourteenth International Conference on Genetic and Evolutionary Computation
  Abbreviation : GECCO 2012
Source Genre: Proceedings
 Creator(s):
Soule, Terence1, Editor
Moore, Jason H.1, Editor
Affiliations:
1 External Organizations, ou_persistent22            
Publ. Info: New York, NY : ACM
Pages: - Volume / Issue: - Sequence Number: - Start / End Page: 1309 - 1316 Identifier: ISBN: 978-1-4503-1177-9