Quality of Quantization and Visualization of Vectors Obtained by Neural Gas and Self-Organizing Map
Volume 22, Issue 1 (2011), pp. 115–134
Pub. online: 1 January 2011
Type: Research Article
Received
1 October 2009
1 October 2009
Accepted
1 October 2010
1 October 2010
Published
1 January 2011
1 January 2011
Abstract
In this paper, the quality of quantization and visualization of vectors, obtained by vector quantization methods (self-organizing map and neural gas), is investigated. A multidimensional scaling is used for visualization of multidimensional vectors. The quality of quantization is measured by a quantization error. Two numerical measures for proximity preservation (Konig's topology preservation measure and Spearman's correlation coefficient) are applied to estimate the quality of visualization. Results of visualization (mapping images) are also presented.