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Beyond the topological map : developing alternate mappings in self organisation

Keith-Magee, Russell, Venkatesh, Svetha and Takatsuka, Masahiro 1999, Beyond the topological map : developing alternate mappings in self organisation, in DICTA '99 : 5th International/​National Biennial Conference on Digital Image Computing, Techniques and Applications, Australian Pattern Recognition Society, Perth, W. A., pp. 88-93.

Document type: Conference Paper
Collection: School of Information Technology

Title Beyond the topological map : developing alternate mappings in self organisation
Author(s) Keith-Magee, Russell
Venkatesh, Svetha
Takatsuka, Masahiro
Conference name Digital Image Computing, Techniques and Applications. Conference (5th : 1999 : Perth, W. A.)
Conference location Perth, W. A.
Conference dates 7-8 Dec. 1999
Title of proceedings DICTA '99 : 5th International/​National Biennial Conference on Digital Image Computing, Techniques and Applications
Editor(s) [Unknown]
Publication date 1999
Conference series Digital Image Computing, Techniques and Applications. Conference
Start page 88
End page 93
Total pages 6
Publisher Australian Pattern Recognition Society
Place of publication Perth, W. A.
Keyword(s) self organising map (SOM)
data set
algorithms
Summary The self organising map is a well established unsupervised
learning technique which is able to form sophisticated representations of an input data set. However, conventional Self Organising Map (SOM) algorithms are limited to the production of topological maps — that is, maps where distance between points on the map have a direct relationship to the Euclidean distance between the training vectors corresponding to those points.

It would be desirable to be able to create maps which form clusters on primitive attributes other than Euclidean distance; for example, clusters based upon orientation or shape. Such maps could provide a novel approach to pattern recognition tasks by providing a new method to associate groups of data.

In this paper, it is shown that the type of map produced by SOM algorithms is a direct consequence of the lateral connection strategy employed. Given this knowledge, a technique is required to establish the feasability of using an alternative lateral connection strategy. Such a technique is presented. Using this technique, it is possible to rule out lateral connection strategies that will not produce output states useful to the organisation process. This technique is demonstrated using conventional Laplacian interconnection as well as a number of novel interconnection strategies.
ISBN 9781863428385
1863428380
Language eng
Field of Research 089999 Information and Computing Sciences not elsewhere classified
Socio Economic Objective 970108 Expanding Knowledge in the Information and Computing Sciences
HERDC Research category E1.1 Full written paper - refereed
Persistent URL http://hdl.handle.net/10536/DRO/DU:30044885
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