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Volumn 10, Issue 2, 1997, Pages 273-289

Variational approach to unsupervised learning algorithms of neural networks

Author keywords

adaptive Hebb Hopfield networks; convergence; Grossberg networks; Kohonen networks; mean risk funtional; neural networks; optimum conditions; stochastic approximation; unsupervised learning

Indexed keywords

APPROXIMATION THEORY; CONVERGENCE OF NUMERICAL METHODS; DATA PROCESSING; NEURAL NETWORKS; PATTERN RECOGNITION;

EID: 0031104848     PISSN: 08936080     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0893-6080(96)00051-2     Document Type: Article
Times cited : (11)

References (32)
  • 2
    • 0026898892 scopus 로고
    • Quantifying the neighborhood preservation of self-organizing feature maps
    • July
    • Bauer, H.-U., & Pawelzik, K. R. (1992). Quantifying the neighborhood preservation of self-organizing feature maps. IEEE Transactions on Neural Networks, 3(4), July, 570-578.
    • (1992) IEEE Transactions on Neural Networks , vol.3 , Issue.4 , pp. 570-578
    • Bauer, H.-U.1    Pawelzik, K.R.2
  • 3
    • 0342861904 scopus 로고
    • Calculation of the second variation of integral over multidimensional domain. Application to pattern recognition
    • Vladivostok: Far-Eastern State University Publishers (in Russian)
    • Burago, V. A., & Likhovidov, V. N. (1990). Calculation of the second variation of integral over multidimensional domain. Application to pattern recognition. In Problems of modeling and control (pp. 57-71). Vladivostok: Far-Eastern State University Publishers (in Russian).
    • (1990) Problems of Modeling and Control , pp. 57-71
    • Burago, V.A.1    Likhovidov, V.N.2
  • 4
    • 0025747582 scopus 로고
    • Clustering characterization of adaptive resonans
    • Burke, L. I. (1991). Clustering characterization of adaptive resonans. Neural Networks, 4, 485-491.
    • (1991) Neural Networks , vol.4 , pp. 485-491
    • Burke, L.I.1
  • 5
    • 0024863473 scopus 로고
    • Neural network models for pattern recognition and associative memory
    • Carpenter, G. A. (1989). Neural network models for pattern recognition and associative memory. Neural Networks, 22, 243-257.
    • (1989) Neural Networks , vol.22 , pp. 243-257
    • Carpenter, G.A.1
  • 6
    • 84973857317 scopus 로고
    • ART-2: Self-organization of stable category recognition codes for analog input patterns
    • Carpenter, G. A., & Grossberg, S. (1987) ART-2: Self-organization of stable category recognition codes for analog input patterns. Applied Optics, 26 (23), 4919-4930.
    • (1987) Applied Optics , vol.26 , Issue.23 , pp. 4919-4930
    • Carpenter, G.A.1    Grossberg, S.2
  • 7
    • 0025229289 scopus 로고
    • A convergence theorem for Grossberg learning
    • Clark, D. M., & Ravishankar, K. (1990). A convergence theorem for Grossberg learning. Neural Networks, 3, 87-92.
    • (1990) Neural Networks , vol.3 , pp. 87-92
    • Clark, D.M.1    Ravishankar, K.2
  • 10
    • 0040930797 scopus 로고
    • Energy functions in neural networks with continuous local functions
    • Fogelman Soulie, F., Meja, C., Goles, E., & Martinez, S. (1989). Energy functions in neural networks with continuous local functions. Complex Systems, 3, 269-293.
    • (1989) Complex Systems , vol.3 , pp. 269-293
    • Fogelman Soulie, F.1    Meja, C.2    Goles, E.3    Martinez, S.4
  • 13
    • 0016974085 scopus 로고
    • Class: A nonparametric clustering algorithm
    • Fromm, F. R., & Northouse, R. A. (1976) Class: a nonparametric clustering algorithm. Pattern Recognition, 8, 107-114.
    • (1976) Pattern Recognition , vol.8 , pp. 107-114
    • Fromm, F.R.1    Northouse, R.A.2
  • 15
    • 0017120827 scopus 로고
    • Adaptive pattern classification and universal recoding: I. Parallel development and coding of neural feature detectors
    • Grossberg, S. (1976). Adaptive pattern classification and universal recoding: I. Parallel development and coding of neural feature detectors. Biological Cybernetics, 23, 121-134.
    • (1976) Biological Cybernetics , vol.23 , pp. 121-134
    • Grossberg, S.1
  • 16
    • 0023515080 scopus 로고
    • Counter-propagation networks
    • Hecht-Nielsen, R. (1987). Counter-propagation networks. Applied Optics, 26, 4979-4984.
    • (1987) Applied Optics , vol.26 , pp. 4979-4984
    • Hecht-Nielsen, R.1
  • 17
    • 0020118274 scopus 로고
    • Neural networks and physical systems with emergent collective computational abilities
    • Hopfield, J. J. (1982). Neural networks and physical systems with emergent collective computational abilities. Proceedings of the National Academy of Sciences USA, 79, 2554-2558.
    • (1982) Proceedings of the National Academy of Sciences USA , vol.79 , pp. 2554-2558
    • Hopfield, J.J.1
  • 18
    • 0004469897 scopus 로고
    • Neurons with graded response have collective computational properties like those of two-state neurons
    • Hopfield, J. J. (1984). Neurons with graded response have collective computational properties like those of two-state neurons. Proceedings of the National Academy of Sciences USA, 81, 3088-3092.
    • (1984) Proceedings of the National Academy of Sciences USA , vol.81 , pp. 3088-3092
    • Hopfield, J.J.1
  • 19
    • 0024627293 scopus 로고
    • Classification performance of a Hopfield neural network based on a Hebbian-like learning rule
    • Jacuna, G. M., & Malaret, E. R. (1989). Classification performance of a Hopfield neural network based on a Hebbian-like learning rule. IEEE Transactions on Information Theory, 35, 263-280.
    • (1989) IEEE Transactions on Information Theory , vol.35 , pp. 263-280
    • Jacuna, G.M.1    Malaret, E.R.2
  • 21
    • 0020068152 scopus 로고
    • Self-organized formation of topologically correct feature maps
    • Kohonen, T. (1982). Self-organized formation of topologically correct feature maps. Biological Cybernetics, 43, 59-69.
    • (1982) Biological Cybernetics , vol.43 , pp. 59-69
    • Kohonen, T.1
  • 22
    • 0027711402 scopus 로고
    • On the topology distortion in self-organizing feature maps
    • Li, X., Gasteiger, I., & Zupan, I. (1993). On the topology distortion in self-organizing feature maps. Biological Cybernetics, 70, 189-198.
    • (1993) Biological Cybernetics , vol.70 , pp. 189-198
    • Li, X.1    Gasteiger, I.2    Zupan, I.3
  • 23
    • 0342861425 scopus 로고
    • A mathematical statement of the problem of pattern classification
    • Likhovidov, V. N., & Fomin, V. N. (1981). A mathematical statement of the problem of pattern classification. Vestnik Leningrad University, 9, 287-296.
    • (1981) Vestnik Leningrad University , vol.9 , pp. 287-296
    • Likhovidov, V.N.1    Fomin, V.N.2
  • 24
    • 0342427289 scopus 로고
    • On the convergence of recurrent algorithm in the unsupervised learning problem
    • in Russian
    • Likhovidov, V. N., Solonin, A. S., & Fomin, V. N. (1978). On the convergence of recurrent algorithm in the unsupervised learning problem. Vestnik Leningrad University, 13, 138-140 (in Russian).
    • (1978) Vestnik Leningrad University , vol.13 , pp. 138-140
    • Likhovidov, V.N.1    Solonin, A.S.2    Fomin, V.N.3
  • 25
    • 0023331258 scopus 로고
    • An introduction to computing with neural nets
    • April
    • Lippman, R. P. (1987). An introduction to computing with neural nets. IEEE ASSP Magazine, 4, April, 4-22.
    • (1987) IEEE ASSP Magazine , vol.4 , pp. 4-22
    • Lippman, R.P.1
  • 26
    • 0024771475 scopus 로고
    • Pattern classification using neural networks
    • November
    • Lippman, R. P. (1989). Pattern classification using neural networks. IEEE Communications Magazine, November, 47-64.
    • (1989) IEEE Communications Magazine , pp. 47-64
    • Lippman, R.P.1
  • 28
    • 0020542759 scopus 로고
    • An analysis of convergence for a learning version of the subspace method
    • Oja, E., & Karhunen, I. (1983). An analysis of convergence for a learning version of the subspace method. Journal of Mathematical Analysis and Applications, 91, 102-111.
    • (1983) Journal of Mathematical Analysis and Applications , vol.91 , pp. 102-111
    • Oja, E.1    Karhunen, I.2
  • 30
    • 0343296335 scopus 로고
    • Global stability of some classes of neural networks
    • Urhama, K. (1989). Global stability of some classes of neural networks. Transactions of JEICE, E72, 863-867.
    • (1989) Transactions of JEICE , vol.E72 , pp. 863-867
    • Urhama, K.1
  • 32
    • 0016973661 scopus 로고
    • Pattern recognition by means of disjoint principal components models
    • Wold, S. (1976). Pattern recognition by means of disjoint principal components models. Pattern Recognition, 8, 127-139.
    • (1976) Pattern Recognition , vol.8 , pp. 127-139
    • Wold, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.