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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

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Reference TypeJournal (article/letter/editorial)
TitleStatistical mechanics of stochastic neural networks: Relationship between the self-consistent signal-to-noise analysis, Thouless-Anderson-Palmer equation, and replica symmetric calculation approaches
JournalPhysical Review E
AuthorsShiino, MasatoshiAuthor
Yamana, MichikoAuthor
Year2004 (January 16)Volume69
Issue1
PublisherAmerican Physical Society (APS)
DOIdoi:10.1103/physreve.69.011904Search in ResearchGate
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Mindat Ref. ID14492057Long-form Identifiermindat:1:5:14492057:2
GUID0
Full ReferenceShiino, 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
Plain TextShiino, 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
In(2004, January) Physical Review E Vol. 69 (1) American Physical Society (APS)

See Also

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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
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
Murayama, Tatsuto (2004) Thouless-Anderson-Palmer approach for lossy compression. Physical Review E, 69 (3) doi:10.1103/physreve.69.035105
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
Shamir, Maoz, Sompolinsky, Haim (2000) Thouless-Anderson-Palmer equations for neural networks. Physical Review E, 61 (2) 1839-1844 doi:10.1103/physreve.61.1839
Fukai, T, Shiino, M (1992) Study of self-inhibited analogue neural networks using the self-consistent signal-to-noise analysis. Journal of Physics A: Mathematical and General, 25. 4799-4811 doi:10.1088/0305-4470/25/18/014
Shiino, M, Fukai, T (1992) Self-consistent signal-to-noise analysis and its application to analogue neural networks with asymmetric connections. Journal of Physics A: Mathematical and General, 25. doi:10.1088/0305-4470/25/7/017
Pereira, Emmanuel, Falcao, Ricardo (2004) Nonequilibrium statistical mechanics of anharmonic crystals with self-consistent stochastic reservoirs. Physical Review E, 70 (4) doi:10.1103/physreve.70.046105
Yoshioka, Masahiko, Shiino, Masatoshi (1997) Properties of associative memory analog neural networks with asymmetric synaptic couplings. Physical Review E, 55 (6) 7401-7413 doi:10.1103/physreve.55.7401
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
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
 
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