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Non-parametric Estimation of Properties of Combinatorial Landscapes

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Applications of Evolutionary Computing (EvoWorkshops 2002)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2279))

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Abstract

Earlier papers [1],[2] introduced some statistical estimation methods for measuring certain properties of landscapes induced by heuristic search methods: in particular, the number of optima. In this paper we extendthis approach to non-parametric methods which allow us to relax a critical assumption of the earlier approach. Two techniques are described—the jackknife and the bootstrap—based on statistical ideas of resampling, and the results of some empirical studies are presented and analysed.

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References

  1. Reeves, C.R.: Estimating the number of optima in a landscape, Part I: Statistical principles. (in review) (2001).

    Google Scholar 

  2. Reeves, C.R.: Estimating the number of optima in a landscape, Part II: Experimental investigations. (in review) (2001).

    Google Scholar 

  3. Liu, C.L.: Introduction to Combinatorial Mathematics. McGraw-Hill, New York (1968).

    MATH  Google Scholar 

  4. Beaumont, G.P.: Intermediate Mathematical Statistics, Chapman & Hall, London (1980).

    MATH  Google Scholar 

  5. Kallel, L., Garnier, J.: How to detect all maxima of a function. In Kallel, L., Naudts, B., Rogers, A. (eds.): Theoretical Aspects of Evolutionary Computing. Springer-Verlag, Berlin (2001) 343–370.

    Google Scholar 

  6. Burnham, K.P., Overton, W.S.: Estimation of the size of a closedp opulation when capture probabilities vary between animals. Biometrika 65 (1978) 625–633.

    Article  MATH  Google Scholar 

  7. Efron, B.: Bootstrap methods: another look at the jackknife. Annals of Statistics 7 (1979) 1–26.

    Article  MATH  MathSciNet  Google Scholar 

  8. Efron, B., Tibshirani, R.J.: An Introduction to the Bootstrap. Chapman & Hall, London (1993).

    MATH  Google Scholar 

  9. Kauffman, S.: The Origins of Order: Self-Organization and Selection in Evolution. OxfordUniv ersity Press, Oxford (1993).

    Google Scholar 

  10. Reeves, C.R.: Landscapes, operators and heuristic search. Annals of Operational Research 86 (1999) 473–490.

    Article  MATH  MathSciNet  Google Scholar 

  11. Boese, K.D., Kahng, A.B., Muddu, S.: A new adaptive multi-start technique for combinatorial global optimizations. Operations Research Letters 16 (1994) 101–113.

    Article  MATH  MathSciNet  Google Scholar 

  12. Reeves, C.R.: Experiments with tuneable fitness landscapes. In Schoenauer, M., Deb, K., Rudolph, G., Yao, X., Lutton, E., Merelo, J.J., Schwefel, H-P. (eds.) Parallel Problem-Solving from Nature-PPSN VI. Springer-Verlag, Berlin Heidelberg New York (2000) 139–148.

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© 2002 Springer-Verlag Berlin Heidelberg

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Eremeev, A., Reeves, C.R. (2002). Non-parametric Estimation of Properties of Combinatorial Landscapes. In: Cagnoni, S., Gottlieb, J., Hart, E., Middendorf, M., Raidl, G.R. (eds) Applications of Evolutionary Computing. EvoWorkshops 2002. Lecture Notes in Computer Science, vol 2279. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-46004-7_4

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  • DOI: https://doi.org/10.1007/3-540-46004-7_4

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-43432-0

  • Online ISBN: 978-3-540-46004-6

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