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Field theory of self-organizing neural nets

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1 Author(s)
Amari, S. ; Dept. of Math. Engng. & Instrumentation Phys., Univ. of Tokyo, Tokyo, Japan

A field theory is proposed as a mathematical method for analyzing learning and self-organizing nerve nets and systems in a unified manner. It is shown by the use of the theory that a nerve net has an ability for automatically forming categorizers or signal detecting cells for the signals which the net receives from its environment. Moreover, when the set of signals has a topological structure, the detectors are arranged in the nerve system (or field) to preserve the topology, so that the topographical structure is introduced in the nerve system by self-organization.

Published in:

Systems, Man and Cybernetics, IEEE Transactions on  (Volume:SMC-13 ,  Issue: 5 )