Comments about "Analysis of the convergence properties of topology preserving neural networks"

Shows that the main proofs of the above paper (Yu et al., Trans Neural Networks, vol. 4, no. 2, p. 207-220, 1993) are incomplete and not correct: in fact, the self-organization cannot be achieved if the adaptation parameter satisfies the classical Robins-Monro conditions and Proposition 2 is erroneous. On the other hand, the two-dimensional extension (Theorem 3) is not proved. The main point is that the four classes that the authors consider as stable classes are not stable at all. Some references are finally given.<>