SOM’s mathematics
Copyright policy )SOM’s mathematics
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.
[MATH.MATH-PR] Mathematics [math]/Probability [math.PR], topology preservation, grid equilibrium, Learning and adaptive systems in artificial intelligence, limit theorems, self-organizing maps, magnification factor, Models, Theoretical, [STAT.OT] Statistics [stat]/Other Statistics [stat.ML], Fractals, Mathematics
[MATH.MATH-PR] Mathematics [math]/Probability [math.PR], topology preservation, grid equilibrium, Learning and adaptive systems in artificial intelligence, limit theorems, self-organizing maps, magnification factor, Models, Theoretical, [STAT.OT] Statistics [stat]/Other Statistics [stat.ML], Fractals, Mathematics
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