메뉴 건너뛰기




Volumn 33, Issue 3, 1997, Pages 45-63

Convergence theorems for the Kohonen feature mapping algorithms with VLRPs

Author keywords

Global minima; Kohonen feature mapping algorithm; Stochastic differential equation; Supermartingale; Vanishing learning rate parameters (VLRPs)

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; DIFFERENTIAL EQUATIONS; LEARNING SYSTEMS; NEURAL NETWORKS; SIMULATED ANNEALING;

EID: 0031074819     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0898-1221(96)00236-2     Document Type: Article
Times cited : (3)

References (26)
  • 4
    • 0026462366 scopus 로고
    • Self-organizing maps: Stationary states, metastability and convergence rate
    • E. Erwin, K. Obermayer and K. Schulten, Self-organizing maps: Stationary states, metastability and convergence rate, Biol. Cybern. 67, 35-45, (1992).
    • (1992) Biol. Cybern. , vol.67 , pp. 35-45
    • Erwin, E.1    Obermayer, K.2    Schulten, K.3
  • 5
    • 0026436795 scopus 로고
    • Self-organizing maps: Ordering, convergence properties and energy functions
    • E. Erwin, K. Obermayer and K. Schulten, Self-organizing maps: Ordering, convergence properties and energy functions, Biol. Cybern. 67, 47-55, (1992).
    • (1992) Biol. Cybern. , vol.67 , pp. 47-55
    • Erwin, E.1    Obermayer, K.2    Schulten, K.3
  • 6
    • 0001470821 scopus 로고
    • Self-organization and convergence of the one-dimensional Kohonen algorithm with non uniformly distributed stimuli
    • C. Bouton and G. Pagès, Self-organization and convergence of the one-dimensional Kohonen algorithm with non uniformly distributed stimuli, Stoch. Proc. Appl. 47, 249-274, (1993).
    • (1993) Stoch. Proc. Appl. , vol.47 , pp. 249-274
    • Bouton, C.1    Pagès, G.2
  • 7
    • 0001798623 scopus 로고
    • Convergence in distribution of the one-dimensional Kohonen algorithms when the stimuli are not uniform
    • C. Bouton and G. Pagès, Convergence in distribution of the one-dimensional Kohonen algorithms when the stimuli are not uniform, Adv. Appl. Prob. 26, 80-103, (1994).
    • (1994) Adv. Appl. Prob. , vol.26 , pp. 80-103
    • Bouton, C.1    Pagès, G.2
  • 8
    • 0002098719 scopus 로고
    • Etude d'un algorithme d'auto-organisation
    • M. Cottrell and J.C. Fort, Etude d'un algorithme d'auto-organisation, Ann. Inst. H. Poincaré 23, 1-20, (1986).
    • (1986) Ann. Inst. H. Poincaré , vol.23 , pp. 1-20
    • Cottrell, M.1    Fort, J.C.2
  • 9
    • 0028204732 scopus 로고
    • Topology representing networks
    • T. Martinetz and K. Schulten, Topology representing networks, Neural network 7, 507-522, (1994).
    • (1994) Neural Network , vol.7 , pp. 507-522
    • Martinetz, T.1    Schulten, K.2
  • 12
  • 14
    • 0010967230 scopus 로고
    • Stochastic approximation and recursive estimation
    • Amer. Math. Soc., Providence, RI
    • M.B. Nevel'son and R.Z. Has'minskii, Stochastic Approximation and Recursive Estimation, Translation of Math. Monograph 47, Amer. Math. Soc., Providence, RI, (1976).
    • (1976) Math. Monograph , vol.47
    • Nevel'son, M.B.1    Has'minskii, R.Z.2
  • 16
    • 0001566375 scopus 로고
    • Role of noises in neural networks
    • S. Albeverio, J.F. Feng and M.P. Qian, Role of noises in neural networks, Phys. Rev. E 52, 6593-6606, (1995).
    • (1995) Phys. Rev. E , vol.52 , pp. 6593-6606
    • Albeverio, S.1    Feng, J.F.2    Qian, M.P.3
  • 17
    • 0001148797 scopus 로고    scopus 로고
    • On neurodynamics with limiter function and Linsker's developmental model
    • J.F. Feng, H. Pan and V.P. Roychowdhury, On neurodynamics with limiter function and Linsker's developmental model, Neural Computation 8, 1003-1019, (1996).
    • (1996) Neural Computation , vol.8 , pp. 1003-1019
    • Feng, J.F.1    Pan, H.2    Roychowdhury, V.P.3
  • 18
    • 0029587111 scopus 로고
    • Information geometry of the EM and em algorithms for neural network
    • S. Amari, Information geometry of the EM and em algorithms for neural network, Neural Networks 8, 1379-1408, (1995).
    • (1995) Neural Networks , vol.8 , pp. 1379-1408
    • Amari, S.1
  • 19
    • 0027355574 scopus 로고
    • Topography and ocular dominance:A model exploring positive correlations
    • G.J. Goodhill, Topography and ocular dominance:a model exploring positive correlations, Bio. Cyber. 69, 109-118, (1993).
    • (1993) Bio. Cyber. , vol.69 , pp. 109-118
    • Goodhill, G.J.1
  • 20
    • 0000048330 scopus 로고
    • Elastic net model of ocular dominance: Overall stripe pattern and monocular deprivation
    • G.J. Goodhill and D.J. Willshaw, Elastic net model of ocular dominance: Overall stripe pattern and monocular deprivation, Neural Computation 6, 615-621, (1994).
    • (1994) Neural Computation , vol.6 , pp. 615-621
    • Goodhill, G.J.1    Willshaw, D.J.2
  • 21
    • 85033122754 scopus 로고    scopus 로고
    • A discrete version of the dynamic link network
    • to appear
    • J.F. Feng and B. Tirozzi, A discrete version of the dynamic link network, Neurocomputmg 14 (to appear).
    • Neurocomputmg , vol.14
    • Feng, J.F.1    Tirozzi, B.2
  • 24
    • 0041887843 scopus 로고
    • Two-stage annealing in retrieving memories I
    • Edited by A. Badrikian, P.-A. Meyer and J.-A. Yan, World Scientific, Singapore
    • J.F. Feng and M.P. Qian, Two-stage annealing in retrieving memories I, In Probability and Statistics, (Edited by A. Badrikian, P.-A. Meyer and J.-A. Yan), pp. 149-176, World Scientific, Singapore, (1993).
    • (1993) Probability and Statistics , pp. 149-176
    • Feng, J.F.1    Qian, M.P.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.