Presentation 2008-11-07
Neural network model with discrete and continuous information representation
Jun KITAZONO, Toshiaki OMORI, Masato OKADA,
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Abstract(in English) An associative memory model and a neural network model with Mexican-hat type interaction are the two most typical attractor networks in the artificial neural network models. The associative memory model has discretely distributed fixed-point attractors, and realizes discrete information representation. On the other hand, the neural network model with Mexican-hat type interaction realizes continuous information representation by a line attractor, seen in working memory in the prefrontal cortex and columnar activity in the visual cortex. In the present study, we propose a neural network model which realizes discrete and continuous information representation. By analysis based on statistical mechanics, we find that the localized retrieval phase exists in the proposed model, where a memory pattern is retrieved in localized subpopulation of the network. In the localized retrieval phase, the discrete and continuous information representation is realized by orthogonality of memory patterns and neutral stability of fixed points along positions of the localized retrieval. The obtained phase diagram suggests that the anti-ferromagnetic interaction and the external field are important to generate the localized retrieval phase.
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Keyword(in English) Mexican-hat type interaction / Associative memory model / Localized activity / Statistical mechanics
Paper # NC2008-61
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Conference Information
Committee NC
Conference Date 2008/10/31(1days)
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Registration To Neurocomputing (NC)
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) Neural network model with discrete and continuous information representation
Sub Title (in English)
Keyword(1) Mexican-hat type interaction
Keyword(2) Associative memory model
Keyword(3) Localized activity
Keyword(4) Statistical mechanics
1st Author's Name Jun KITAZONO
1st Author's Affiliation Graduate School of Frontier Science, The University of Tokyo()
2nd Author's Name Toshiaki OMORI
2nd Author's Affiliation Graduate School of Frontier Science, The University of Tokyo:RIKEN Brain Science Institute
3rd Author's Name Masato OKADA
3rd Author's Affiliation Graduate School of Frontier Science, The University of Tokyo:RIKEN Brain Science Institute
Date 2008-11-07
Paper # NC2008-61
Volume (vol) vol.108
Number (no) 281
Page pp.pp.-
#Pages 6
Date of Issue