Gauge Symmetry and Neural Networks

Details Gauge Symmetry and Neural Networks Gauge Symmetry and Neural Networks

2001-12-26

arxiv.org/abs/cond-mat/0112463v1

pp. 271-280 in "Fluctuating Paths and Fields"ed. by W.Janke et al., World Scientific (2001)

Physics

Condensed Matter

Disordered Systems and Neural Networks

9 pages, 7 figures

Scientific paper

We propose a new model of neural network. It consists of spin variables to describe the state of neurons as in the Hopfield model and new gauge variables to describe the state of synapses. The model possesses local gauge symmetry and resembles lattice gauge theory of high-energy physics. Time dependence of synapses describes the process of learning. The mean field theory predicts a new phase corresponding to confinement phase, in which brain loses ablility of learning and memory.

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