Presentation 1998/6/18
A statistical mechanics of an oscillator associative memory with scattered natural frequencies
Toru AONISHI, Koji KURATA, Masato OKADA,
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Abstract(in English) We analyze an oscillator associative memory with scattered natural frequencies in memory retrieval states by a statistical mechanical , method based on the SCSNA and the Sakaguchi-Kuramoto theory. The system with infinite stored patterns has a frustration on the synaptic weights. As long as we know, nobody has theoretically analyzed this kind of frustrated systems with the scattered natural frequencies. The proposed model with finite stored patterns is equivalent to the ferromagnetic model analyzed by Sakaguchi and Kuramoto. In the finite loading case, our theory coincides with the Sakaguchi-Kuramoto theory. When all oscillators have uniform natural frequencies, our theory is reduced to previously proposed ones based on the SCSNA or the Replica method.
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Keyword(in English) SCSNA / Sakaguchi-Kuramoto theory / Frustration / Synchoronization / Memory capacity
Paper # NC98-19,HIP98-10
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Conference Date 1998/6/18(1days)
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Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) A statistical mechanics of an oscillator associative memory with scattered natural frequencies
Sub Title (in English)
Keyword(1) SCSNA
Keyword(2) Sakaguchi-Kuramoto theory
Keyword(3) Frustration
Keyword(4) Synchoronization
Keyword(5) Memory capacity
1st Author's Name Toru AONISHI
1st Author's Affiliation Department of Systems and Human Science, Graduate School of Engineering Science, Osaka University()
2nd Author's Name Koji KURATA
2nd Author's Affiliation Department of Systems and Human Science, Graduate School of Engineering Science, Osaka University
3rd Author's Name Masato OKADA
3rd Author's Affiliation ERATO Kawato Dynamic Brain Project
Date 1998/6/18
Paper # NC98-19,HIP98-10
Volume (vol) vol.98
Number (no) 128
Page pp.pp.-
#Pages 8
Date of Issue