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Robust competitive networks

: Banzhaf, W.; Schmutz, M.


Physical Review. A 45 (1992), Nr.6, S.4132-4145
ISSN: 0556-2791
ISSN: 1050-2947
ISSN: 1094-1622
Fraunhofer IPA ()
competitive network; network; Netzwerk; neural network; Wettbewerb

In the search for networks that implement winner-take-all function dynamically in a robust way, we study in this paper a class of models that includes short-range diffusive interactions. The analysis is based on a combination of numerical simulations and analytic results obtained by the application of field-theoretical methods. An examination of the ground-state properties reveals that the implementation of robust competition in dimensions higher than one requires a nonstandard diffusive interaction of at least fourth order.