Self-organising map as a natural kernel method

Proceedings of 2005 International Conference on Neural Networks and Brain Proceedings, ICNNB'05

Volumn 3, Issue , 2005, Pages 1891-1894

  Yin, Hujun ^a  

^a UNIVERSITY OF MANCHESTER   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; ENTROPY; FUNCTIONS; PARAMETER ESTIMATION; PROBLEM SOLVING; STATE SPACE METHODS;

DENSITY ESTIMATOR; ENERGY FUNCTION; KERNEL FUNCTIONS; NATURAL KERNEL METHOD; SELF-ORGANISING MIXTURE NETWORK;

SELF ORGANIZING MAPS;

EID: 33847154558     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (18)

1. M. Aizerman, E. Braverman and L. Rozonoer (1964), Theoretical foundations of the potential function method in pattern recognition learning, Automation and Remote Control, vol. 25, 821-837.
2. N. Allinson, K. Obermayer, H. Yin (Eds.) (2002), Special Issue on New Developments on Self-Organising Maps, Neural Networks, vol. 15.
3. N. Allinson, H. Yin, L. Allinson and J. Slack (Eds.) (2001), Advances in Self-Organising Maps, London, Springer.
4. P. Andras (2002), Kernel-Kohonen networks, International Journal of Neural Systems, vol 12, 117-135.
5. C. Cortes and V. Vapnik (1995), Support vector networks, Machine Learning, vol. 20, 273-297.
6. C. Fyfe, D. MacDonald and D. Charles (2000), Unsupervised learning using radial kernels, in: Hewlett, eds. Recent Advances in Radial Basis Networks.
7. R.J. T. Graepel, M. Burger and K. Obermayer (1998), Self-organizing maps: Generalization and new optimization techniques, Neurocomputing, vol 21, 173-190.
8. T. Heskes (1999), Energy functions for self-organizing maps, In E. Oja and S. Kaski, eds, Kohonen Maps, Elsevier.
9. M. Ishikawa, R. Miikulainen and H. Ritter (Eds.) (2004), Special Issue on New Developments on Self-Organising Systems, Neural Networks, vol. 17.
10. T. Kohonen (1999), Self-Organising Maps, Springer.
11. J. Lampinen and E. Oja (1992), Clustering properties of hierarchical self-organizing maps, Journal of Mathematical Imaging and Vision, vol 2, 261-272.
12. K.W. Lau and H. Yin (2005), Kernel self-organising maps for classification, submitted to Neurocomputing.
13. D. MacDonald and C. Fyfe (2000), The kernel self organising map, Applied Computational Intelligence Research Unit, The University of Paisley.
14. Z.S. Pan, S.C. Chen and D.Q. Zhang (2004), A kernel-base SOM classifer in input space, Acta Electronica Sinica, vol 32, 227-231 (in Chinese).
15. B. Schölkopf, A. Smola and K.R. Müller (1998), Nonlinear component analysis as a kernel eigenvalue problem, Neural Computation, vol. 10, 1299-1319.
16. J. Shawe-Taylor and N. Cristianini (2004), Kernel Methods for Pattern Analysis, Cambridge University Press.
17. M. van Hulle (2002), Kernel-based topographic map formation achieved with an information-theoretic approach, Neural Networks, vol 15, 1029-1039.
18. H. Yin and N. Allinson (2001), Self-organising mixture networks for probability density estimation, IEEE trans. Neural Networks, vol 12, 405-411