Are They Really Neighbors? a Statistical Analysis of the SOM Algorithm Output
Abstract
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.
Cite
Text
Bodt et al. "Are They Really Neighbors? a Statistical Analysis of the SOM Algorithm Output." Proceedings of the Eighth International Workshop on Artificial Intelligence and Statistics, 2001.Markdown
[Bodt et al. "Are They Really Neighbors? a Statistical Analysis of the SOM Algorithm Output." Proceedings of the Eighth International Workshop on Artificial Intelligence and Statistics, 2001.](https://mlanthology.org/aistats/2001/bodt2001aistats-they/)BibTeX
@inproceedings{bodt2001aistats-they,
title = {{Are They Really Neighbors? a Statistical Analysis of the SOM Algorithm Output}},
author = {Bodt, Eric and Cottrell, Marie and Verleysen, Michel},
booktitle = {Proceedings of the Eighth International Workshop on Artificial Intelligence and Statistics},
year = {2001},
pages = {87-92},
volume = {R3},
url = {https://mlanthology.org/aistats/2001/bodt2001aistats-they/}
}