Kohonen's algorithm for the numerical parametrisation of manifolds
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Alder, M., Togneri, R., Lai, E. and Attikiouzel, Y. (1990) Kohonen's algorithm for the numerical parametrisation of manifolds. Pattern Recognition Letters, 11 (5). pp. 313-319.
Link to Published Version: http://dx.doi.org/10.1016/0167-8655(90)90040-9
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Abstract
T. Kohonen has described an algorithm for fitting a k-dimensional grid of points to a set of points taken from a k-manifold in Rn, for k⩽n. The algorithm is inspired by a neural model and bears some of the marks of its ancestry. In this paper we show that if the process converges, it converges to a locally 1-1 mapping of the grid onto the manifold. Hitherto this result has only been proved for the case where k=1.
| Publication Type: | Journal Article |
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| Publisher: | Elsevier B.V. |
| Copyright: | © 1990 Published by Elsevier B.V. |
| URI: | http://researchrepository.murdoch.edu.au/id/eprint/20835 |
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