Multidimensional Kohonen net on a HyperCube

Bruce A. Conway; Matthew Kabrisky; Steven K. Rogers; Gary B. Lamont

doi:10.1117/12.21178

1 August 1990 Multidimensional Kohonen net on a HyperCube

Bruce A. Conway, Matthew Kabrisky, Steven K. Rogers, Gary B. Lamont

Proceedings Volume 1294, Applications of Artificial Neural Networks; (1990) https://doi.org/10.1117/12.21178
Event: 1990 Technical Symposium on Optics, Electro-Optics, and Sensors, 1990, Orlando, FL, United States

Abstract

This report details the implementation of the Kohonen Self-Organizing Net on a 32-node Intel iPSC/1 HyperCube and the 25 performance improvement gained by increasing the dimensionality of the net without increasing processing requirements. 1. KOHONEN SELF-ORGANIZING MAP IMPLEMENTED ON THE INTEL iPSC HYPERCUBE This report examines the implementation of a Kohonen net on the Intel iPSC/l HyperCube and explores the performance improvement gained by increasing the dimensionality of the Kohonen net from the conventional two-dimensional case to the n-dimensional case where n is the number of inputs to the Kohonen net. In this example the Kohonen net performance is improved by increasing the dimensionality of the net without increasing the number of weights or nodes in the net and without increasing processing requirements. Kohonen in his Tutorial/ICCN 1 2 states that the dimensionality of the grid is not restricted to two but that maps in the biological brain tend to be two-dimensional. It is proposed that this is not a particularly severe restriction in the brain where not all inputs are connected to all nodes and specific maps can be formed for specific functions but in the case of the massively connected Kohonen net reducing all problems to two dimensions places an unnecessary burden on the learning process and necessarily causes the loss of information regarding the interrelationship of inputs and corresponding output clusters. Indeed reducing the dimension is a projection

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Bruce A. Conway, Matthew Kabrisky, Steven K. Rogers, and Gary B. Lamont "Multidimensional Kohonen net on a HyperCube", Proc. SPIE 1294, Applications of Artificial Neural Networks, (1 August 1990); https://doi.org/10.1117/12.21178

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