A parameter-free non-growing self-organizing map based upon gravitational principles: Algorithm and applications

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Abstract

The Kohonen Algorithm was extended by (a) a coupling between node and input space based upon gravitational principles and (b) a controling mechanism based upon two-point correlation functions. The extended algorithm avoids optimization of the learning rate and neighbourhood parameters. Applications are given for both a 3-dimensional example data set with mixed topologies and a 13-dimensional data set of a particle physics experiment.

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Lange, J. S., & Freiesleben, H. (1996). A parameter-free non-growing self-organizing map based upon gravitational principles: Algorithm and applications. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 1112 LNCS, pp. 827–832). Springer Verlag. https://doi.org/10.1007/3-540-61510-5_139

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