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One-Dimensional Kohonen's Lvq Nets for Multidimensional Patterns Recognition

Skubalska-Rafajłowicz E.

International Journal of Applied Mathematics and Computer Science

2000

Vol. 10, no 4

767-778

A new neural network based pattern recognition algorithm is proposed. The method consists in preprocessing the multidimensional data, using a space-filling curve based transformation into the unit interval, and employing Kohonen's vector quantization algorithms (of SOM and LVQ types) in one dimension. The space-filling based transformation preserves the theoretical Bayes risk. Experiments show that such an approach can produce good or even better error rates than the classical LVQ performed in a multidimensional space.