메뉴 건너뛰기




Volumn 14, Issue 1, 2006, Pages 87-118

An extension of Geiringer's theorem for a wide class of evolutionary search algorithms

Author keywords

Crossover; Geiringer theorem; Genetic algorithms; Markov process; Mutation; Random walk on a group; Schemata; Stationary distribution

Indexed keywords

ALGORITHM; ARTICLE; BIOLOGICAL MODEL; COMPUTER SIMULATION; CROSS BREEDING; GENE FREQUENCY; GENETIC RECOMBINATION; MOLECULAR EVOLUTION; POPULATION GENETICS;

EID: 33646083237     PISSN: 10636560     EISSN: 15309304     Source Type: Journal    
DOI: 10.1162/evco.2006.14.1.87     Document Type: Conference Paper
Times cited : (14)

References (18)
  • 3
    • 0003143606 scopus 로고
    • On the probability of linkage in mendelian heredity
    • Geiringer, H. (1944). On the probability of linkage in mendelian heredity. Annals of Mathematical Statistics, 15:25-57.
    • (1944) Annals of Mathematical Statistics , vol.15 , pp. 25-57
    • Geiringer, H.1
  • 4
    • 35248834735 scopus 로고    scopus 로고
    • Comparing evolutionary computation techniques via their representation
    • Cantu-Paz, E., et al, editors. Springer-Verlag
    • Mitavskiy, B. (2003). Comparing evolutionary computation techniques via their representation. In Cantu-Paz, E., et al, editors, Proceedings of the Genetic and Evolutionary Computation (GECCO) Conference, volume 1, pages 1196-1209. Springer-Verlag.
    • (2003) Proceedings of the Genetic and Evolutionary Computation (GECCO) Conference , vol.1 , pp. 1196-1209
    • Mitavskiy, B.1
  • 5
    • 85047694090 scopus 로고    scopus 로고
    • Crossover invariant subsets of the search space for evolutionary algorithms
    • Mitavskiy, B. (2004a). Crossover invariant subsets of the search space for evolutionary algorithms. Evolutionary Computation, 12(1):19-46.
    • (2004) Evolutionary Computation , vol.12 , Issue.1 , pp. 19-46
    • Mitavskiy, B.1
  • 7
    • 33745434551 scopus 로고    scopus 로고
    • Some results about the markov chains associated with GPs and general EAs
    • Under submission
    • Mitavskiy, B. and Rowe, J. E. (2005). Some results about the markov chains associated with GPs and general EAs. Theoretical Computer Science. Under submission.
    • (2005) Theoretical Computer Science
    • Mitavskiy, B.1    Rowe, J.E.2
  • 8
    • 84961293863 scopus 로고    scopus 로고
    • Hyperschema theory for GP with one-point crossover, building blocks, and some new results in GA theory
    • Poli, R., et al, editors. Springer-Verlag
    • Poli, R. (2000). Hyperschema theory for GP with one-point crossover, building blocks, and some new results in GA theory. In Poli, R., et al, editors, Genetic Programming, Proceedings of EuroGP'2000, pages 163-180. Springer-Verlag.
    • (2000) Genetic Programming, Proceedings of EuroGP'2000 , pp. 163-180
    • Poli, R.1
  • 9
    • 3543129332 scopus 로고    scopus 로고
    • A schema-theory-based extension of Geiringer's theorem for linear GP and variable-length GAs under homologous crossover
    • Dejong, K., Poli, R., and Rowe, J. E., editors
    • Poli, R., Stephens, C., Wright, A., and Rowe, J. (2002). A schema-theory-based extension of Geiringer's theorem for linear GP and variable-length GAs under homologous crossover. In Dejong, K., Poli, R., and Rowe, J. E., editors, Foundations of Genetic Algorithms, volume 7, pages 45-62.
    • (2002) Foundations of Genetic Algorithms , vol.7 , pp. 45-62
    • Poli, R.1    Stephens, C.2    Wright, A.3    Rowe, J.4
  • 11
    • 0000926886 scopus 로고
    • Convergence rates for markov chains
    • Rosenthal, J. (1995). Convergence rates for markov chains. SIAM Review, 37(3):387-405.
    • (1995) SIAM Review , vol.37 , Issue.3 , pp. 387-405
    • Rosenthal, J.1
  • 12
    • 0036594107 scopus 로고    scopus 로고
    • Group properties of crossover and mutation
    • Rowe, J., Vose, M., and Wright, A. (2002). Group properties of crossover and mutation. Evolutionary Computation, 10(2):151-184.
    • (2002) Evolutionary Computation , vol.10 , Issue.2 , pp. 151-184
    • Rowe, J.1    Vose, M.2    Wright, A.3
  • 13
    • 10444275069 scopus 로고    scopus 로고
    • Structural search spaces and genetic operators
    • Rowe, J., Vose, M., and Wright, A. (2004). Structural search spaces and genetic operators. Evolutionary Computation, 12(4):461-494.
    • (2004) Evolutionary Computation , vol.12 , Issue.4 , pp. 461-494
    • Rowe, J.1    Vose, M.2    Wright, A.3
  • 14
  • 15
    • 0242440265 scopus 로고    scopus 로고
    • Theory of genetic algorithms ii: Models for genetic operators over the string-tensor representation of populations and convergence to global optima for arbitrary fitness function under scaling
    • Schmitt, L. (2004). Theory of genetic algorithms ii: models for genetic operators over the string-tensor representation of populations and convergence to global optima for arbitrary fitness function under scaling. Theoretical Computer Science, 310:181-231.
    • (2004) Theoretical Computer Science , vol.310 , pp. 181-231
    • Schmitt, L.1
  • 17
    • 33745460131 scopus 로고    scopus 로고
    • The equilibrium and transient behavior of mutation and recombination
    • Martin, W. and Spears, W., editors
    • Spears, W. (2000). The equilibrium and transient behavior of mutation and recombination. In Martin, W. and Spears, W., editors, Foundations of genetic Algorithms, volume 6, pages 241-260.
    • (2000) Foundations of Genetic Algorithms , vol.6 , pp. 241-260
    • Spears, W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.