SOM Quality Measures available in the Java SOMToolbox

The Java SOMToolbox provides implementations of the following quality measures.

Entropy Measure
Intrinsic Distance
S. Kaski and K. Lagus. Comparing Self-Organizing Maps. In Proceedings of the International Conference on Artificial Neural Networks (ICANN '96), Bochum, Germany, July 16-19, pages 809-814, Berlin, 1996. Springer.
Inversion Measure
S. Zrehen, F. Blayo. A Geometric Organization Measure for Kohonen's Map,, In Proceedings of Neuro-Nimes, 1992, pp 603-610, Nimes/Frankreich
Multidimensional Scaling.
W.S. Torgerson. Mulitdimensional scaling Theory and method, In Psychometrika 17(4):401-419, Psychometric Society, 1952
QuantizationError
Sammon Measure
J.W. Sammon, Jr.. A nonlinear mapping for data structure analysis, In IEEE Transactions on Computers 18(5):401-409, 1969, IEEE Computer Society
SOM Distortion
J. Lampinen and E. Oja. Clustering properties of Hierarchical Self-Organizing Maps. In Journal of Mathematical Imaging and Vision, 2(2-3):261-272, 1992.
J. Lampinen and T. Kostiainen. Generative Probability Density Model in the Self- Organizing Map. In Self-Organizing Neural Networks: Recent Advances and Applications. Physica-Verlag, Heidelberg, New York, 2002.
Spearman Coefficient J.C. Bezdek, N.R Pal. Index of Topological Preservation for Feature Extraction, In Pattern Recognition 28(3):381-391, Elsevier, 1995.
Topographic Error
K. Kiviluoto.. Topology preservation in Self-Organizing Maps. In Proceedings of the IEEE International Conference on Artificial Neural Networks (ICANN'96), pages 294-299. Piscataway, New Jersey, USA, June 1996.
Topographic Product
H. U. Bauer and K. R. Pawelzik. Quantifying the neighborhood preservation of Self-Organizing Feature Maps. In IEEE Transactions on Neural Networks, 3(4):570-579, July 1992.
Trustworthiness, Neighborhood Preservation
J. Venna and S. Kaski. Neighborhood preservation in nonlinear projection methods. An experimental study. In Proceedings of the Internationla Conference on Artificial Neural Networks (ICANN '01)pages 485-491. Berlin, 2001. Springer