Dynamics of Interacting Neural Networks

Details Dynamics of Interacting Neural Networks Dynamics of Interacting Neural Networks

1999-06-04

arxiv.org/abs/cond-mat/9906058v3

Physics

Condensed Matter

Disordered Systems and Neural Networks

9 pages, 3 figures; typos corrected, content reorganized

Scientific paper

The dynamics of interacting perceptrons is solved analytically. For a directed flow of information the system runs into a state which has a higher symmetry than the topology of the model. A symmetry breaking phase transition is found with increasing learning rate. In addition it is shown that a system of interacting perceptrons which is trained on the history of its minority decisions develops a good strategy for the problem of adaptive competition known as the Bar Problem or Minority Game.

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