Presentation 2008-11-08
Statistical Mechanics of Partial Annealing : Mexican-hat-type interaction case
Kazuyuki HARA, Tatsuya UEZU, Seiji MIYOSHI, Masato OKADA,
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Abstract(in English) We analyzed the equilibrium states of an Ising spin neural network model in which both spins and interactions evolve simultaneously over time. The interactions are Mexican-hat-type, which are used for lateral inhibition models. The model shows a bump activity, which is the locally activated network state. The time-dependent interactions are driven by Langevin noise and Hebbian learning. The analysis results reveal that Hebbian learning expands the bistable regions of the ferromagnetic and local excitation phases.
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Keyword(in English) Ising spin neural network / Partial Annealing / Replica method / Mexican-hat-type interaction
Paper # NC2008-72
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Committee NC
Conference Date 2008/10/31(1days)
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Registration To Neurocomputing (NC)
Language JPN
Title (in Japanese) (See Japanese page)
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Title (in English) Statistical Mechanics of Partial Annealing : Mexican-hat-type interaction case
Sub Title (in English)
Keyword(1) Ising spin neural network
Keyword(2) Partial Annealing
Keyword(3) Replica method
Keyword(4) Mexican-hat-type interaction
1st Author's Name Kazuyuki HARA
1st Author's Affiliation Tokyo Metropolitan College of Industrial Engineering()
2nd Author's Name Tatsuya UEZU
2nd Author's Affiliation Nara Women's University
3rd Author's Name Seiji MIYOSHI
3rd Author's Affiliation Kansai University
4th Author's Name Masato OKADA
4th Author's Affiliation The University of Tokyo:Riken
Date 2008-11-08
Paper # NC2008-72
Volume (vol) vol.108
Number (no) 281
Page pp.pp.-
#Pages 5
Date of Issue