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http://arxiv.org/pdf/cond-mat/...
Part of book or chapter of book
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arXiv.org e-Print Archive
Preprint . 2001
Data sources: arXiv.org e-Print Archive
https://doi.org/10.1142/978981...
Part of book or chapter of book . 2001 . Peer-reviewed
Data sources: Crossref
https://dx.doi.org/10.48550/ar...
Article . 2001
License: arXiv Non-Exclusive Distribution
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https://dx.doi.org/10.1142/978...
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GAUGE SYMMETRY AND NEURAL NETWORKS

descriptionPublicationkeyboard_double_arrow_right Part of book or chapter of book , Article , Preprint , Other literature type 01 Jun 2001Embargo end date: 01 Jan 2001 English Publisher:World Scientific Pub Co Pte Ltd
Authors: Matsui, Tetsuo;

doi: 10.1142/9789812811240_0025 , 10.48550/arxiv.cond-mat/0112463

arXiv: cond-mat/0112463

GAUGE SYMMETRY AND NEURAL NETWORKS

Abstract

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.

9 pages, 7 figures

Related Organizations
Keywords

High Energy Physics - Lattice, FOS: Biological sciences, High Energy Physics - Lattice (hep-lat), FOS: Physical sciences, Disordered Systems and Neural Networks (cond-mat.dis-nn), Condensed Matter - Disordered Systems and Neural Networks, Quantitative Biology (q-bio), Quantitative Biology

  • BIP!
    Impact byBIP!
    selected citations
    These citations are derived from selected sources.
    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 9
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    		 Average
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 Top 10%
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    		 Average
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
9
Average
Top 10%
Average
Green