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Volumn 123, Issue 1, 2002, Pages 41-75

Large deviations and mean-field theory for asymmetric random recurrent neural networks

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Indexed keywords


EID: 0036016201     PISSN: 01788051     EISSN: None     Source Type: Journal    
DOI: 10.1007/s004400100182     Document Type: Article
Times cited : (44)

References (20)
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    • Large deviations for langevin spin glass dynamics
    • Ben Arous, G., Guionnet, A.: Large deviations for langevin spin glass dynamics. PTRF, 102: 455-509 (1995)
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  • 5
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    • Increase in complexity in random neural networks
    • Cessac, B.: Increase in complexity in random neural networks. Journal de Physique I, 5: 409-432 (1995)
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    • Cessac, B.1
  • 6
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    • Mean-field equations, bifurcation map and route to chaos in discrete time neural networks
    • Cessac, B., Doyon, B., Quoy, M., Samuelides, M.: Mean-field equations, bifurcation map and route to chaos in discrete time neural networks. Physica D, 74: 24-44 (1994)
    • (1994) Physica D , vol.74 , pp. 24-44
    • Cessac, B.1    Doyon, B.2    Quoy, M.3    Samuelides, M.4
  • 10
    • 0013199948 scopus 로고
    • Large Deviations. Academic press, New York
    • Deuschel and Stroock. Large Deviations. Academic press, New York, 1989
    • (1989) Deuschel and Stroock
  • 11
    • 0013262025 scopus 로고
    • Prescribing a system of random variables with conditional distributions
    • Dobrushin
    • Dobrushin. Prescribing a system of random variables with conditional distributions. Theor. Proba. Appl., 1970
    • (1970) Theor. Proba. Appl.
  • 12
    • 0020167832 scopus 로고
    • Almost sure Stable oscillations in a large system of randomly coupled equations
    • Geman, S.: Almost sure Stable oscillations in a large system of randomly coupled equations. Siam J. Appl. Math., 42: 695-703 (1982)
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    • Geman, S.1
  • 13
    • 0013247419 scopus 로고
    • A chaos hypothesis for some large systems of random equations
    • Geman, S., Hwang, C.R.: A chaos hypothesis for some large systems of random equations. Z. Wahr. Verw. Gebiete, 60: 291-314 (1982)
    • (1982) Z. Wahr. Verw. Gebiete , vol.60 , pp. 291-314
    • Geman, S.1    Hwang, C.R.2
  • 15
    • 0031256441 scopus 로고    scopus 로고
    • Averaged and quenched propagation of chaos for spin glass dynamics
    • Guionnet, A.: Averaged and quenched propagation of chaos for spin glass dynamics. PTRF, 109: 183-215 (1997)
    • (1997) PTRF , vol.109 , pp. 183-215
    • Guionnet, A.1
  • 18
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    • Cambridge University Press
    • Stroock.: Probability theory. Cambridge University Press, (1993)
    • (1993) Probability Theory
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  • 20
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    • The Sherrington-Kirkpatrick model: A challenge for mathematicians
    • Talagrand, M.: The Sherrington-Kirkpatrick Model: a challenge for mathematicians. Probability Theory and Related Fields, 1998
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    • Talagrand, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.