English

Theoretical Aspects of the SOM Algorithm

Statistics Theory 2007-05-23 v1 Statistics Theory

Abstract

The SOM algorithm is very astonishing. On the one hand, it is very simple to write down and to simulate, its practical properties are clear and easy to observe. But, on the other hand, its theoretical properties still remain without proof in the general case, despite the great efforts of several authors. In this paper, we pass in review the last results and provide some conjectures for the future work.

Keywords

Cite

@article{arxiv.0704.1696,
  title  = {Theoretical Aspects of the SOM Algorithm},
  author = {Marie Cottrell and Jean-Claude Fort and Gilles Pagès},
  journal= {arXiv preprint arXiv:0704.1696},
  year   = {2007}
}