{ "id": "cond-mat/9906058", "version": "v3", "published": "1999-06-04T08:55:19.000Z", "updated": "2000-03-03T17:16:51.000Z", "title": "Dynamics of Interacting Neural Networks", "authors": [ "W. Kinzel", "R. Metzler", "I. Kanter" ], "comment": "9 pages, 3 figures; typos corrected, content reorganized", "categories": [ "cond-mat.dis-nn" ], "abstract": "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.", "revisions": [ { "version": "v3", "updated": "2000-03-03T17:16:51.000Z" } ], "analyses": { "keywords": [ "interacting neural networks", "interacting perceptrons", "symmetry breaking phase transition", "system runs", "higher symmetry" ], "note": { "typesetting": "TeX", "pages": 9, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "1999cond.mat..6058K" } } }