Feed-forward neural networks and topographic mappings for exploratory data analysis

Neural Computing and Applications

Volumn 4, Issue 2, 1996, Pages 83-95

  Lowe, D ^a   Tipping, M ^a  

^a ASTON UNIVERSITY   (United Kingdom)

Author keywords

Data analysis; Feature extraction; Multidimensional scaling; Neural networks; Sammon mapping; Topographic mappings

Indexed keywords

EID: 0030556435     PISSN: 09410643     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF01413744     Document Type: Article

References (33)

1. Fukunaga, K. Introduction to Statistical Pattern Recognition. Academic Press, New York, second edition, 1990
2. Koontz WLG, Fukunaga K. A nonlinear feature extraction algorithm using distance transformation. IEEE Trans Comput 1972; C-21(1): 56-63
3. Cox TF, Ferry G. Discriminant analysis using non-metric multidimensional scaling. Patt Recogn 1993; 26(1): 145-153
4. Webb AR. Multidimensional scaling by iterative majorisation using radial basis functions. Patt Recogn 1995; 28(5): 753-759
5. Lowe D. Novel 'topographic' nonlinear feature extraction using radial basis functions for concentration coding in the 'artificial nose'. In: 3rd IEE International Conference on Artificial Neural Networks, IEE, London, 1993
6. Press WH, Teukolsky SA, Vetterling WT, Flannery BP. Numerical Recipes in C. Cambridge University Press, second edition, 1992
7. Mardia KV, Kent JT, Bibby JM. Multivariate Analysis: Probability and Mathematical Statistics. Academic Press, London, 1979
8. Oja E. Neural networks, principal components, and subspaces. Int Neural Systems 1989; 1: 61-68
9. Saund E. Dimensionality-reduction using connectionist networks. IEEE Trans Patt Analysis Machine Intell 1989; 11(3): 304-315
10. Kramer MA. Nonlinear principal component analysis using autoassociative neural networks. AIChE J 1991; 37(2): 233-243, February
11. Hastie T, Stuetzle W. Principal curves. J Am Statist Assoc 1989; 84: 502-516
12. Fisher RA. The use of multiple measurements on taxonomic problems. Ann Eugenics 1936; 7: 179-188
13. Gallinari P, Thiria S, Badran B, Fogelman-Soulié F. On the relations between discriminant analysis and multilayer perceptrons. Neural Networks 1991; 4: 349-360
14. Webb AR, Lowe D. The optimised internal representation of multilayer classifier networks performs nonlinear discriminant analysis. Neural Networks 1990; 3(4): 367-375
15. Willshaw DJ, von der Malsburg C. How patterned neural connections can be set up by self-organisation. Proc Roy Soc Lond B 1976; 194: 431-445
16. Kohonen T. Self-Organisation and Associative Memory. Springer-Verlag, New York, third edition, 1989
17. Li X, Gasteiger J, Zupan J. On the topology distortion in self-organising feature maps. Biol Cybernetics 1993; 70: 189-198
18. Sammon JW, Jr. A nonlinear mapping for data structure analysis. IEEE Trans Comput 1969; C-18(5): 401-409
19. Davison ML. Multidimensional Scaling. John Wiley & Sons, New York, 1983
20. Young MP. Objective analysis of the topological organization of the primate cortical visual system. Nature 1992; 358: 152-155, July
21. Goodhill GJ, Simmen MW, Willshaw DJ. An evaluation of the use of multidimensional scaling for understanding brain connectivity. Philos Trans Roy Soc Lond Series B 1995; 348: 265-280
22. Torgerson WS. Multidimensional scaling: I. theory and method. Psychometrika 1952; 17: 401-119
23. Shepard RN. The analysis of proximities: Multidimensional scaling with an unknown distance function, I. Psychometrika 1962; 27(2): 125-140
24. Shepard RN. The analysis of proximities: Multidimensional scaling with an unknown distance function, II. Psychometrika 1962; 27(3): 219-246
25. Kruskal JB. Multidimensional scaling by optimising goodness of fit to a nonmetric hypothesis. Psychometrika 1964; 29(1): 1-27
26. Kruskal JB. Nonmetric multidimensional scaling: a numerical method. Psychometrika 1964; 29(2): 115-129
27. Kruskal JB. Comments on 'a nonlinear mapping for data structure analysis'. IEEE Trans Comput 1971; C20: 1614
28. Jain AK, Jianchang Mao. Artificial neural network for nonlinear projection of multivariate data. In: IJCNN Int Joint Conf Neural Networks, vol 3, 1992; 335-340
29. Jianchang Mao, Jain AK. Artificial neural networks for feature extraction and multivariate data projection. IEEE Trans Neural Networks 1995; 6(2): 296-317
30. Lowe D, Tipping M. A novel neural network technique for exploratory data analysis. In: Proc ICANN '95 (Scientific Conf) vol 1, 1995; 339-344
31. Webb AR. Non-metric multidimensional scaling using feed-forward networks. CSE1 Research Note 192, Defence Research Agency, Malvern, UK, June 1992
32. Taylor J. Measuring research performance in business and management studies in the United Kingdom: The 1992 research assessment exercise. Br J Management 1994; 5: 275-288
33. Taylor J. A statistical analysis of the 1992 Research Assessment Exercise. J Roy Statist Soc A 1995; 158(2): 241-261