메뉴 건너뛰기




Volumn 20, Issue 5, 2007, Pages 621-630

Concerning the differentiability of the energy function in vector quantization algorithms

Author keywords

Energy function; K means; Neural gas; Potential function; Pseudo potential; Self organizing maps; Vector quantization

Indexed keywords

ENERGY FUNCTIONS; K-MEANS; NEURAL GAS; POTENTIAL FUNCTIONS; PSEUDO POTENTIAL; SELF-ORGANIZING MAPS;

EID: 34447638892     PISSN: 08936080     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.neunet.2006.11.006     Document Type: Article
Times cited : (1)

References (30)
  • 3
    • 34447623670 scopus 로고    scopus 로고
    • Aupetit, M. 2000. A recruiting neural-gas for function approximation. In Proc. of IEEE int. joint conf. on neural networks
  • 4
    • 0036789801 scopus 로고    scopus 로고
    • γ-observable neighbours for vector quantization
    • Self-organizing maps [Special issue]
    • Aupetit M., Couturier P., and Massotte P. γ-observable neighbours for vector quantization. Self-organizing maps. Neural Networks 15 (2002) 1017-1027 [Special issue]
    • (2002) Neural Networks , vol.15 , pp. 1017-1027
    • Aupetit, M.1    Couturier, P.2    Massotte, P.3
  • 6
    • 34447634606 scopus 로고    scopus 로고
    • Bottou, L. (1991). Stochastic gradient learning in neural networks. In Proceedings of neuro Nimes 91
  • 7
    • 34447629645 scopus 로고    scopus 로고
    • Cottrell, M., Fort, J.C., & Pagès, G. (1994). Two or three things that we know about the kohonen algorithm. In Proc. of European symposium on artificial neural networks (pp. 271-276)
  • 8
    • 0345404393 scopus 로고    scopus 로고
    • Theoretical aspects of the som algorithm
    • Cottrell M., Fort J.C., and Pagès G. Theoretical aspects of the som algorithm. Neurocomputing 21 (1998) 119-138
    • (1998) Neurocomputing , vol.21 , pp. 119-138
    • Cottrell, M.1    Fort, J.C.2    Pagès, G.3
  • 9
    • 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
  • 10
    • 0028748949 scopus 로고
    • Growing cell structures - a self-organizing network for unsupervised and supervised learning
    • Fritzke B. Growing cell structures - a self-organizing network for unsupervised and supervised learning. Neural Networks 7 9 (1994) 1441-1460
    • (1994) Neural Networks , vol.7 , Issue.9 , pp. 1441-1460
    • Fritzke, B.1
  • 11
    • 33750126257 scopus 로고
    • Growing grid - a self-organizing network with constant neighborhood range and adaptation strength
    • Fritzke B. Growing grid - a self-organizing network with constant neighborhood range and adaptation strength. Neural Processing Letters 2 5 (1995) 9-13
    • (1995) Neural Processing Letters , vol.2 , Issue.5 , pp. 9-13
    • Fritzke, B.1
  • 12
    • 0000773486 scopus 로고
    • A growing neural-gas network learns topologies
    • Tesauro G., Touretzky D.S., and Leen T.K. (Eds)
    • Fritzke B. A growing neural-gas network learns topologies. In: Tesauro G., Touretzky D.S., and Leen T.K. (Eds). Advances in neural information processing systems (1995) 7
    • (1995) Advances in neural information processing systems , pp. 7
    • Fritzke, B.1
  • 15
    • 0002059002 scopus 로고    scopus 로고
    • Energy functions for self-organizing maps
    • Oja E., and Kaski S. (Eds)
    • Heskes T. Energy functions for self-organizing maps. In: Oja E., and Kaski S. (Eds). Kohonen maps (1999) 303-315
    • (1999) Kohonen maps , pp. 303-315
    • Heskes, T.1
  • 18
    • 0020068152 scopus 로고
    • Self-organized formation of topologically correct feature maps
    • Kohonen T. Self-organized formation of topologically correct feature maps. Biological Cybernetics 43 (1982) 59-69
    • (1982) Biological Cybernetics , vol.43 , pp. 59-69
    • Kohonen, T.1
  • 20
    • 0003023542 scopus 로고
    • Self-organizing maps: optimization approaches
    • Elsevier Science Publishers
    • Kohonen T. Self-organizing maps: optimization approaches. Artificial neural networks Vol. 2 (1991), Elsevier Science Publishers 981-990
    • (1991) Artificial neural networks , vol.2 , pp. 981-990
    • Kohonen, T.1
  • 22
    • 34447626396 scopus 로고    scopus 로고
    • Mac-Queen, J. (1967). Some methods for classification and analysis of multivariate observations. In Proc. of the fifth Berkeley symposium on mathematical statistics and probability. Vol. 1 (pp. 281-297) Berkeley: University of California Press
  • 23
    • 0027632248 scopus 로고
    • Neural-gas network for vector quantization and its application to time-series prediction
    • Martinetz T.M., Berkovitch S.G., and Schulten K.J. Neural-gas network for vector quantization and its application to time-series prediction. IEEE Transactions on Neural Networks 4 4 (1993) 558-569
    • (1993) IEEE Transactions on Neural Networks , vol.4 , Issue.4 , pp. 558-569
    • Martinetz, T.M.1    Berkovitch, S.G.2    Schulten, K.J.3
  • 27
    • 34447618537 scopus 로고    scopus 로고
    • Pagès, G. (1993). Voronoï tesselation, space quantization algorithms and numerical integration. In Proc. of European symposium on artificial neural networks (pp. 221-228)
  • 29
    • 0025608647 scopus 로고
    • An analysis of Kohonen's self-organizing maps using a system of energy functions
    • Tolat V.V. An analysis of Kohonen's self-organizing maps using a system of energy functions. Biological Cybernetics 64 (1990) 155-164
    • (1990) Biological Cybernetics , vol.64 , pp. 155-164
    • Tolat, V.V.1
  • 30
    • 34447625005 scopus 로고    scopus 로고
    • Villmann, T., & Bauer, H.U. (1997). The gsom-algorithm for growing hypercubical output spaces in self-organizing maps. In Proc. of the workshop on self-organizing maps


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.