Observations of complex dynamical systems operating at Self-Organising Criticality (SOC) have shown them to be inherently robust to fluctuations in their environment. This SOC has the signature spectrum S(f) ∝ 1/f~B,β ≈ 1 for some variable f in the system. The observation of power laws in the spectrum of the updates of the neuron weights in the SOM are reported. Such a signature is shown in the SOM for certain types of neighbourhood functions, which are intuitively robust. Other neighbourhood functions have different spectrums which are presented, but their meaning remains to be explained.
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