메뉴 건너뛰기




Volumn 12, Issue 6, 1999, Pages 803-823

Faithful representations with topographic maps

Author keywords

Conscience learning; Equiprobabilistic maps; Faithful representations; Gabor functions; Non parametric density estimation; Topographic maps; Wavelet filters

Indexed keywords

ADAPTIVE FILTERING; ALGORITHMS; LEARNING SYSTEMS; PROBABILITY;

EID: 0032773697     PISSN: 08936080     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0893-6080(99)00041-6     Document Type: Article
Times cited : (40)

References (56)
  • 3
    • 0001449448 scopus 로고    scopus 로고
    • Controlling the magnification factor of self-organizing feature maps
    • Bauer H.U., Der R., Herrmann M. Controlling the magnification factor of self-organizing feature maps. Neural Computation. 8:1996;757-771.
    • (1996) Neural Computation , vol.8 , pp. 757-771
    • Bauer, H.U.1    Der, R.2    Herrmann, M.3
  • 5
    • 84898431324 scopus 로고
    • Variable kernel estimates of multivariate densities
    • Breiman L., Meisel W., Purcell E. Variable kernel estimates of multivariate densities. Technometrics. 19:1977;135-144.
    • (1977) Technometrics , vol.19 , pp. 135-144
    • Breiman, L.1    Meisel, W.2    Purcell, E.3
  • 6
    • 0029196051 scopus 로고
    • Optimal adaptive k-means algorithm with dynamic adjustment of learning rate
    • Chinrungrueng C., Séquin C.H. Optimal adaptive k-means algorithm with dynamic adjustment of learning rate. IEEE Transactions on Neural Networks. 6:1995;157-169.
    • (1995) IEEE Transactions on Neural Networks , vol.6 , pp. 157-169
    • Chinrungrueng, C.1    Séquin, C.H.2
  • 10
    • 0000929221 scopus 로고
    • What is the goal of sensory coding?
    • Field D.J. What is the goal of sensory coding? Neural Computation. 6:1994;559-601.
    • (1994) Neural Computation , vol.6 , pp. 559-601
    • Field, D.J.1
  • 11
    • 0001948145 scopus 로고
    • Fast learning with incremental RBF networks
    • Fritzke B. Fast learning with incremental RBF networks. Neural Processing Letters. 1:(1):1994;2-5.
    • (1994) Neural Processing Letters , vol.1 , Issue.1 , pp. 2-5
    • Fritzke, B.1
  • 12
    • 0000293183 scopus 로고
    • Theory of communication
    • Gabor D. Theory of communication. Journal of IEE. 93:1946;429-457.
    • (1946) Journal of IEE , vol.93 , pp. 429-457
    • Gabor, D.1
  • 13
    • 0030142919 scopus 로고    scopus 로고
    • Codeword distribution for frequency sensitive competitive learning with one-dimensional input data
    • Galanopoulos A.S., Ahalt S.C. Codeword distribution for frequency sensitive competitive learning with one-dimensional input data. IEEE Transactions on Neural Networks. 7:1996;752-756.
    • (1996) IEEE Transactions on Neural Networks , vol.7 , pp. 752-756
    • Galanopoulos, A.S.1    Ahalt, S.C.2
  • 15
    • 0000787409 scopus 로고    scopus 로고
    • Phase transitions in stochastic self-organizing maps
    • Graepel T., Burger M., Obermayer K. Phase transitions in stochastic self-organizing maps. Physical Review E. 56:(4):1997;3876-3890.
    • (1997) Physical Review e , vol.56 , Issue.4 , pp. 3876-3890
    • Graepel, T.1    Burger, M.2    Obermayer, K.3
  • 16
    • 0017120827 scopus 로고
    • Adaptive pattern classification and universal recoding: I Parallel development and coding of neural feature detectors
    • Grossberg S. Adaptive pattern classification and universal recoding: I Parallel development and coding of neural feature detectors. Biological Cybernetics. 23:1976;121-134.
    • (1976) Biological Cybernetics , vol.23 , pp. 121-134
    • Grossberg, S.1
  • 17
    • 0030230825 scopus 로고    scopus 로고
    • A clustering method based on the estimation of the probability density function and on the skeleton by influence zones. Application to image processing
    • Herbin M., Bonnet N., Vautrot P. A clustering method based on the estimation of the probability density function and on the skeleton by influence zones. Application to image processing. Pattern Recognition Letters. 17:1996;1141-1150.
    • (1996) Pattern Recognition Letters , vol.17 , pp. 1141-1150
    • Herbin, M.1    Bonnet, N.2    Vautrot, P.3
  • 18
    • 0029196895 scopus 로고
    • Adaptive learning method in self-organizing map for edge preserving vector quantization
    • Kim Y.K., Ra J.B. Adaptive learning method in self-organizing map for edge preserving vector quantization. IEEE Transactions on Neural Networks. 6:1995;278-280.
    • (1995) IEEE Transactions on Neural Networks , vol.6 , pp. 278-280
    • Kim, Y.K.1    Ra, J.B.2
  • 19
    • 0025530493 scopus 로고    scopus 로고
    • Combining linear equalization and self-organizing adaptation in dynamic discrete-signal detection
    • San Diego, CA, 17-21 June
    • Kohonen, T., Raivo, K., Simula, O., Ventä, O., Henriksson, J., (1996). Combining linear equalization and self-organizing adaptation in dynamic discrete-signal detection. Proceedings of IJCNN (pp. I223-I228). San Diego, CA, 17-21 June.
    • (1996) Proceedings of IJCNN
    • Kohonen, T.1    Raivo, K.2    Simula, O.3    Ventä, O.4    Henriksson, J.5
  • 20
    • 0000761101 scopus 로고    scopus 로고
    • Self-organized formation of various invariant-feature filters in the adaptive-subspace SOM
    • Kohonen T., Kaski S., Lappalainen H. Self-organized formation of various invariant-feature filters in the adaptive-subspace SOM. Neural Computation. 9:1997;1321-1344.
    • (1997) Neural Computation , vol.9 , pp. 1321-1344
    • Kohonen, T.1    Kaski, S.2    Lappalainen, H.3
  • 21
    • 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
  • 24
    • 0000620924 scopus 로고    scopus 로고
    • Faithful representation of separable distributions
    • Lin J.K., Grier D.G., Cowan J.D. Faithful representation of separable distributions. Neural Computation. 9:1997;1305-1320.
    • (1997) Neural Computation , vol.9 , pp. 1305-1320
    • Lin, J.K.1    Grier, D.G.2    Cowan, J.D.3
  • 25
    • 0000353243 scopus 로고
    • How to generate ordered maps by maximizing the mutual information between input and output signals
    • Linsker R. How to generate ordered maps by maximizing the mutual information between input and output signals. Neural Computation. 1:1989;402-411.
    • (1989) Neural Computation , vol.1 , pp. 402-411
    • Linsker, R.1
  • 26
    • 0017526570 scopus 로고
    • Analysis of recursive stochastic algorithms
    • Ljung L. Analysis of recursive stochastic algorithms. IEEE Transactions on Automatic Control. AC-22:1977;551-575.
    • (1977) IEEE Transactions on Automatic Control , vol.22 , pp. 551-575
    • Ljung, L.1
  • 27
    • 0002773313 scopus 로고
    • Learning with localized receptive fields
    • D. Touretzky, G. Hinton, & T. Sejnowski. San Mateo: Morgan Kaufmann
    • Moody J., Darken C. Learning with localized receptive fields. Touretzky D., Hinton G., Sejnowski T. Proceedings of the 1988 Connectionist Models Summer School. 1988;133-143 Morgan Kaufmann, San Mateo.
    • (1988) Proceedings of the 1988 Connectionist Models Summer School , pp. 133-143
    • Moody, J.1    Darken, C.2
  • 29
    • 0029410705 scopus 로고
    • Self-organization as an iterative kernel smoothing process
    • Mulier F., Cherkassky V. Self-organization as an iterative kernel smoothing process. Neural Computation. 7:1995;1165-1177.
    • (1995) Neural Computation , vol.7 , pp. 1165-1177
    • Mulier, F.1    Cherkassky, V.2
  • 31
    • 0029938380 scopus 로고    scopus 로고
    • Emergence of simple-cell receptive field properties by learning a sparse code for natural images
    • Olshausen B.A., Field D.J. Emergence of simple-cell receptive field properties by learning a sparse code for natural images. Nature. 381:1996;607-609.
    • (1996) Nature , vol.381 , pp. 607-609
    • Olshausen, B.A.1    Field, D.J.2
  • 33
    • 0002754742 scopus 로고    scopus 로고
    • Nonlinear blind source separation by self-organizing maps
    • S.-I. Amari, L.-W. Chan, I. King, & K.-S. Leung. Proceedings of the International Conference on Neural Information Processing (ICONIP'96), Berlin: Springer
    • Pajunen P., Hyvärinen A., Karhunen J. Nonlinear blind source separation by self-organizing maps. Amari S.-I., Chan L.-W., King I., Leung K.-S. Proceedings of the International Conference on Neural Information Processing (ICONIP'96). Progress in neural information processing. 2:1996;1207-1210 Springer, Berlin.
    • (1996) Progress in Neural Information Processing , vol.2 , pp. 1207-1210
    • Pajunen, P.1    Hyvärinen, A.2    Karhunen, J.3
  • 34
    • 0025056697 scopus 로고
    • Regularization algorithms for learning that are equivalent to multilayer networks
    • Poggio T., Girosi F. Regularization algorithms for learning that are equivalent to multilayer networks. Science. 247:1990;978-982.
    • (1990) Science , vol.247 , pp. 978-982
    • Poggio, T.1    Girosi, F.2
  • 36
    • 0002961288 scopus 로고
    • On the stationary state of Kohonen's self-organizing sensory mapping
    • Ritter H., Schulten K. On the stationary state of Kohonen's self-organizing sensory mapping. Biological Cybernetics. 54:1986;99-106.
    • (1986) Biological Cybernetics , vol.54 , pp. 99-106
    • Ritter, H.1    Schulten, K.2
  • 39
    • 0025838954 scopus 로고
    • Asymptotic level density for a class of vector quantization processes
    • Ritter H. Asymptotic level density for a class of vector quantization processes. IEEE Transactions on Neural Networks. 2:(1):1991;173-175.
    • (1991) IEEE Transactions on Neural Networks , vol.2 , Issue.1 , pp. 173-175
    • Ritter, H.1
  • 41
    • 0000389568 scopus 로고
    • Statistical mechanics and phase transitions in clustering
    • Rose K., Gurewitz E., Fox G.C. Statistical mechanics and phase transitions in clustering. Physical Review Letters. 65:(8):1990;945-948.
    • (1990) Physical Review Letters , vol.65 , Issue.8 , pp. 945-948
    • Rose, K.1    Gurewitz, E.2    Fox, G.C.3
  • 42
    • 0003396318 scopus 로고
    • Coding theorem for a discrete source with a fidelity criterion
    • R.E. Machol. New York: McGraw-Hill
    • Shannon C.E. Coding theorem for a discrete source with a fidelity criterion. Machol R.E. Information and decision processes. 1960;McGraw-Hill, New York.
    • (1960) Information and Decision Processes
    • Shannon, C.E.1
  • 44
    • 0000629975 scopus 로고
    • Cross-validation choice and assessment of statistical predictions
    • Stone M. Cross-validation choice and assessment of statistical predictions. Journal of the Royal Statistical Society B. 36:1984;111-147.
    • (1984) Journal of the Royal Statistical Society B , vol.36 , pp. 111-147
    • Stone, M.1
  • 45
    • 0345605724 scopus 로고
    • DARPA TIMIT acoustic-phonetic speech corpus
    • TIMIT
    • TIMIT (1990). DARPA TIMIT acoustic-phonetic speech corpus. NIST Speech Disc 1-1.1 (CD-ROM).
    • (1990) NIST Speech Disc 1-1.1 (CD-ROM)
  • 46
    • 84984054840 scopus 로고
    • A new learning approach based on equidistortion principle for optimal vector quantizer design
    • Linthicum Heights, MD
    • Ueda, N., & Nakano, R. (1993). A new learning approach based on equidistortion principle for optimal vector quantizer design. Proceedings of the IEEE NNSP93 (pp. 362-371). Linthicum Heights, MD.
    • (1993) Proceedings of the IEEE NNSP93 , pp. 362-371
    • Ueda, N.1    Nakano, R.2
  • 48
    • 0011251854 scopus 로고
    • On an unsupervised learning rule for scalar quantization following the maximum entropy principle
    • Van Hulle M.M., Martinez D. On an unsupervised learning rule for scalar quantization following the maximum entropy principle. Neural Computation. 5:1993;939-953.
    • (1993) Neural Computation , vol.5 , pp. 939-953
    • Van Hulle, M.M.1    Martinez, D.2
  • 49
    • 0029217605 scopus 로고
    • Globally-ordered topology-preserving maps achieved with a learning rule performing local weight updates only
    • Cambridge, MA
    • Van Hulle, M.M., (1995). Globally-ordered topology-preserving maps achieved with a learning rule performing local weight updates only. Proceedings of the IEEE NNSP95 (pp. 95-104). Cambridge, MA.
    • (1995) Proceedings of the IEEE NNSP95 , pp. 95-104
    • Van Hulle, M.M.1
  • 50
    • 0005671334 scopus 로고    scopus 로고
    • The formation of topographic maps that maximize the average mutual information of the output responses to noiseless input signals
    • Van Hulle M.M. The formation of topographic maps that maximize the average mutual information of the output responses to noiseless input signals. Neural Computation. 9:(3):1997;595-606.
    • (1997) Neural Computation , vol.9 , Issue.3 , pp. 595-606
    • Van Hulle, M.M.1
  • 51
    • 0345605721 scopus 로고    scopus 로고
    • Nonparametric density estimation and regression achieved with topographic maps maximizing the information-theoretic entropy of their outputs
    • Van Hulle M.M. Nonparametric density estimation and regression achieved with topographic maps maximizing the information-theoretic entropy of their outputs. Biological Cybernetics. 77:1997;49-61.
    • (1997) Biological Cybernetics , vol.77 , pp. 49-61
    • Van Hulle, M.M.1
  • 52
    • 0031128354 scopus 로고    scopus 로고
    • Topology-preserving map formation achieved with a purely local unsupervised competitive learning rule
    • Van Hulle M.M. Topology-preserving map formation achieved with a purely local unsupervised competitive learning rule. Neural Networks. 10:(3):1997;431-446.
    • (1997) Neural Networks , vol.10 , Issue.3 , pp. 431-446
    • Van Hulle, M.M.1
  • 53
    • 0024455181 scopus 로고
    • Cortical magnification factor and the ganglion cell density of the primate retina
    • Wässle H., Grünert U., Röhrenbeck J., Boycott B.B. Cortical magnification factor and the ganglion cell density of the primate retina. Nature. 341:1989;643-646.
    • (1989) Nature , vol.341 , pp. 643-646
    • Wässle, H.1    Grünert, U.2    Röhrenbeck, J.3    Boycott, B.B.4
  • 54
    • 0005059503 scopus 로고
    • Unsupervised learning by EM algorithm based on finite mixture of Gaussians
    • Xu L., Jordan M.I. Unsupervised learning by EM algorithm based on finite mixture of Gaussians. World Congress on Neural Networks (Portland, OR). 2:1993;431-434.
    • (1993) World Congress on Neural Networks (Portland, OR) , vol.2 , pp. 431-434
    • Xu, L.1    Jordan, M.I.2
  • 56
    • 0020100081 scopus 로고
    • Asymptotic quantization error of continuous signals and the quantization dimension
    • Zador P.L. Asymptotic quantization error of continuous signals and the quantization dimension. IEEE Transactions on Information Theory. 28:1982;149-159.
    • (1982) IEEE Transactions on Information Theory , vol.28 , pp. 149-159
    • Zador, P.L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.