Theoretical Aspects of the SOM Algorithm
Cottrell, Marie ; Fort, Jean-Claude ; Pagès, Gilles
HAL, hal-00141470 / Harvested from HAL
Text on HAL
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.
Publié le : 1998-07-05
Classification:  Self-organization,  Kohonen algorithm,  Convergence of stochastic processes,  Vectorial quantization,  [MATH.MATH-ST]Mathematics [math]/Statistics [math.ST] 
@article{hal-00141470,
     author = {Cottrell, Marie and Fort, Jean-Claude and Pag\`es, Gilles},
     title = {Theoretical Aspects of the SOM Algorithm},
     journal = {HAL},
     volume = {1998},
     number = {0},
     year = {1998},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00141470}
}

Cottrell, Marie; Fort, Jean-Claude; Pagès, Gilles. Theoretical Aspects of the SOM Algorithm. HAL, Tome 1998 (1998) no. 0, . http://gdmltest.u-ga.fr/item/hal-00141470/