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Ichiki, Akihisa, Shiino, Masatoshi (2006) Thouless-Anderson-Palmer equation and self-consistent signal-to-noise analysis for the Hopfield model with three-body interaction. Physical Review E, 74 (1) doi:10.1103/physreve.74.017103

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Reference TypeJournal (article/letter/editorial)
TitleThouless-Anderson-Palmer equation and self-consistent signal-to-noise analysis for the Hopfield model with three-body interaction
JournalPhysical Review E
AuthorsIchiki, AkihisaAuthor
Shiino, MasatoshiAuthor
Year2006 (July 25)Volume74
Issue1
PublisherAmerican Physical Society (APS)
DOIdoi:10.1103/physreve.74.017103Search in ResearchGate
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Mindat Ref. ID14498435Long-form Identifiermindat:1:5:14498435:2
GUID0
Full ReferenceIchiki, Akihisa, Shiino, Masatoshi (2006) Thouless-Anderson-Palmer equation and self-consistent signal-to-noise analysis for the Hopfield model with three-body interaction. Physical Review E, 74 (1) doi:10.1103/physreve.74.017103
Plain TextIchiki, Akihisa, Shiino, Masatoshi (2006) Thouless-Anderson-Palmer equation and self-consistent signal-to-noise analysis for the Hopfield model with three-body interaction. Physical Review E, 74 (1) doi:10.1103/physreve.74.017103
In(2006, July) Physical Review E Vol. 74 (1) American Physical Society (APS)

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Shiino, Masatoshi, Yamana, Michiko (2004) Statistical mechanics of stochastic neural networks: Relationship between the self-consistent signal-to-noise analysis, Thouless-Anderson-Palmer equation, and replica symmetric calculation approaches. Physical Review E, 69 (1) doi:10.1103/physreve.69.011904
Ichiki, Akihisa, Shiino, Masatoshi (2007) The Thouless–Anderson–Palmer equation for an analogue neural network with temporally fluctuating white synaptic noise. Journal of Physics A: Mathematical and Theoretical, 40. 9201-9211 doi:10.1088/1751-8113/40/31/002
Shiino, Masatoshi, Fukai, Tomoki (1993) Self-consistent signal-to-noise analysis of the statistical behavior of analog neural networks and enhancement of the storage capacity. Physical Review E, 48 (2) 867-897 doi:10.1103/physreve.48.867
Sato, Yasuomi D., Okumura, Keiji, Ichiki, Akihisa, Shiino, Masatoshi, Câteau, Hideyuki (2012) Temperature-modulated synchronization transition in coupled neuronal oscillators. Physical Review E, 85 (3) doi:10.1103/physreve.85.031910
Kasai, Seiya, Tadokoro, Yukihiro, Ichiki, Akihisa (2013) Design and characterization of nonlinear functions for the transmission of a small signal with non-Gaussian noise. Physical Review E, 88 (6) doi:10.1103/physreve.88.062127
Ichiki, Akihisa, Tadokoro, Yukihiro (2013) Relation between optimal nonlinearity and non-Gaussian noise: Enhancing a weak signal in a nonlinear system. Physical Review E, 87 (1) doi:10.1103/physreve.87.012124
Opper, Manfred, Winther, Ole (2001) Adaptive and self-averaging Thouless-Anderson-Palmer mean-field theory for probabilistic modeling. Physical Review E, 64 (5) doi:10.1103/physreve.64.056131
Murayama, Tatsuto (2004) Thouless-Anderson-Palmer approach for lossy compression. Physical Review E, 69 (3) doi:10.1103/physreve.69.035105
Shiino, Masatoshi (2003) Stability analysis of mean-field-type nonlinear Fokker-Planck equations associated with a generalized entropy and its application to the self-gravitating system. Physical Review E, 67 (5) doi:10.1103/physreve.67.056118
Katzav, Eytan, Schwartz, Moshe (2004) Kardar-Parisi-Zhang equation with temporally correlated noise: A self-consistent approach. Physical Review E, 70 (1) doi:10.1103/physreve.70.011601
Katzav, Eytan, Schwartz, Moshe (1999) Self-consistent expansion for the Kardar-Parisi-Zhang equation with correlated noise. Physical Review E, 60 (5) 5677-5680 doi:10.1103/physreve.60.5677
 
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