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Volumn 19, Issue 6-7, 2006, Pages 830-837

Self-organizing map algorithm and distortion measure

Author keywords

Asymptotic convergence; Consistency; Distortion measure; Empirical processes; General neighborhood function; Glivenko Cantelli class; Self organizing map; Uniform law of large numbers

Indexed keywords

ALGORITHMS; NEURAL NETWORKS; STATISTICAL METHODS;

EID: 33746629417     PISSN: 08936080     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.neunet.2006.05.016     Document Type: Article
Times cited : (11)

References (11)
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    • Cottrell, M.1    Fort, J.C.2    Pagès, G.3
  • 2
    • 0026436795 scopus 로고
    • Self-organizing maps: Ordering, convergence properties and energy functions
    • Erwin E., Obermayer K., and Schulten K. Self-organizing maps: Ordering, convergence properties and energy functions. Biological Cybernetics 67 (1992) 47-55
    • (1992) Biological Cybernetics , vol.67 , pp. 47-55
    • Erwin, E.1    Obermayer, K.2    Schulten, K.3
  • 3
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    • On the a.s. convergence of the Kohonen algorithm with a general neighborhood function
    • Fort J.C., and Pagès G. On the a.s. convergence of the Kohonen algorithm with a general neighborhood function. The Annals of Applied Probability 5 4 (1995) 1177-1216
    • (1995) The Annals of Applied Probability , vol.5 , Issue.4 , pp. 1177-1216
    • Fort, J.C.1    Pagès, G.2
  • 4
    • 33745902277 scopus 로고    scopus 로고
    • Advantages and drawbacks of the batch Kohonen algorithm
    • Verleysen M. (Ed), Di Facto, Brussels
    • Fort J.C., Letrémy P., and Cottrell M. Advantages and drawbacks of the batch Kohonen algorithm. In: Verleysen M. (Ed). Proceedings of ESANN 2002 (2002), Di Facto, Brussels 223-230
    • (2002) Proceedings of ESANN 2002 , pp. 223-230
    • Fort, J.C.1    Letrémy, P.2    Cottrell, M.3
  • 5
    • 0000900946 scopus 로고
    • Empirical processes: A survey of results for independent and identically distributed random variables
    • Gaenssler P., and Stute W. Empirical processes: A survey of results for independent and identically distributed random variables. The Annals of Probability 7 2 (1979) 193-243
    • (1979) The Annals of Probability , vol.7 , Issue.2 , pp. 193-243
    • Gaenssler, P.1    Stute, W.2
  • 6
    • 0000787409 scopus 로고    scopus 로고
    • Phase transition in stochastic self organizing maps
    • Graepel T., Burger M., and Obermayer K. Phase transition in stochastic self organizing maps. Physical Review E 56 (1997) 3876-3890
    • (1997) Physical Review E , Issue.56 , pp. 3876-3890
    • Graepel, T.1    Burger, M.2    Obermayer, K.3
  • 9
    • 0033570792 scopus 로고    scopus 로고
    • Comparison of SOM points densities based on different criteria
    • Kohonen T. Comparison of SOM points densities based on different criteria. Neural Computation 11 (1999) 2081-2095
    • (1999) Neural Computation , vol.11 , pp. 2081-2095
    • Kohonen, T.1
  • 10
    • 0000963889 scopus 로고
    • Strong consistency of k-mean clustering
    • Pollard D. Strong consistency of k-mean clustering. The Annals of Statistics 9 1 (1981) 135-140
    • (1981) The Annals of Statistics , vol.9 , Issue.1 , pp. 135-140
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  • 11
    • 33746629516 scopus 로고    scopus 로고
    • Consistency of a least extended variance estimator
    • (in French)
    • Rynkiewicz J. Consistency of a least extended variance estimator. Comptes rendus de l'Académie des Sciences I 345 (2005) 133-136 (in French)
    • (2005) Comptes rendus de l'Académie des Sciences I , vol.345 , pp. 133-136
    • Rynkiewicz, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.