SOM’s mathematics

✍ Scribed by J.C. Fort

• Publisher: Elsevier Science
• Year: 2006
• Tongue: English
• Weight: 947 KB
• Volume: 19
• Category: Article
• ISSN: 0893-6080
• DOI: 10.1016/j.neunet.2006.05.025

✦ Synopsis

Since the discovery of the SOM's by T. Kohonen, many results that provide a better description of their behaviour have been found. Most of them are very convincing, but from a mathematical point of view, only a few are actually proved. In this paper, we make a review of some results that are still to be proved and give some framework to formulate various questions.