Are they really neighbors? A statistical analysis of the SOM algorithm output
Proceedings of the Eighth International Workshop on Artificial Intelligence and Statistics, PMLR R3:87-92, 2001.
One of the attractive features of Self-Organizing Maps (SOM) is the so-called "topological preservation property": observations that are close to each other in the input space (at least locally) remain close to each other in the SOM. In this work, we propose the use of a bootstrap scheme to construct a statistical significance test of the observed proximity among individuals in the SOM.