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Volumn 28, Issue 2, 2000, Pages 725-758

Intersecting random half-spaces: Toward the gardner-derrida formula

Author keywords

Cavity method; Perceptron; Replica symmetric formula; Spin glasses

Indexed keywords


EID: 0034345587     PISSN: 00911798     EISSN: None     Source Type: Journal    
DOI: 10.1214/aop/1019160259     Document Type: Article
Times cited : (18)

References (11)
  • 1
    • 0004340648 scopus 로고    scopus 로고
    • Hopfield models as generalized random mean field models
    • (A. Bovier and P. Picco, eds.) Birkhauser, Boston
    • BOVIER, A. and GAVRARD, V. (1997). Hopfield models as generalized random mean field models. In Mathematical Aspects of Spin Glasses and Neural Networks (A. Bovier and P. Picco, eds.) Birkhauser, Boston.
    • (1997) Mathematical Aspects of Spin Glasses and Neural Networks
    • Bovier, A.1    Gavrard, V.2
  • 2
    • 0002631885 scopus 로고
    • Optimal stages properties of neural network models
    • [21 DERRIDA, B. and GARDNER, E. (1988). Optimal stages properties of neural network models. J. Phys. A 21 271-284.
    • (1988) J. Phys. A , vol.21 , pp. 271-284
    • Derrida, B.1    Gardner, E.2
  • 3
    • 0001240288 scopus 로고
    • The space of interactions in neural networks
    • GARDNER, E. (1985). The space of interactions in neural networks. Nuclear Phys. B 257 747-765.
    • (1985) Nuclear Phys. B , vol.257 , pp. 747-765
    • Gardner, E.1
  • 4
    • 0020118274 scopus 로고
    • Neural networks and physical systems with emergent collective computational abilities
    • U.S.A
    • HOPFIELD, J. J. (1982). Neural networks and physical systems with emergent collective computational abilities. Proc. Nat. Acad. Sci. U.S.A 79 1554-1558.
    • (1982) Proc. Nat. Acad. Sci. , vol.79 , pp. 1554-1558
    • Hopfield, J.J.1
  • 6
    • 51649148775 scopus 로고
    • Une inéqualité du type de Slepian et Gordon sur les processus Gaussiens
    • KAHANE, J. P. (1986). Une inéqualité du type de Slepian et Gordon sur les processus Gaussiens. Israel J. Math 55 105-110.
    • (1986) Israel J. Math , vol.55 , pp. 105-110
    • Kahane, J.P.1
  • 7
    • 36149037182 scopus 로고
    • The space of intersections in neural networks; Gardner's computation with the cavity method
    • MÉZARD, M. (1988). The space of intersections in neural networks; Gardner's computation with the cavity method. J. Phys. A 22 2181-2190.
    • (1988) J. Phys. A , vol.22 , pp. 2181-2190
    • Mézard, M.1
  • 8
    • 0031995245 scopus 로고    scopus 로고
    • The Sherrington-Kirkpatrick model: A challenge for mathematicians
    • TALAGRAND, M. (1998). The Sherrington-Kirkpatrick model: a challenge for mathematicians. Probab. Theory Related Fields 110 109-176.
    • (1998) Probab. Theory Related Fields , vol.110 , pp. 109-176
    • Talagrand, M.1
  • 9
    • 0009148982 scopus 로고    scopus 로고
    • Rigorous results for the Hopfield model with many patterns
    • TALAGRAND, M. (1998). Rigorous results for the Hopfield model with many patterns. Probab. Theory Related Fields 110 176-277.
    • (1998) Probab. Theory Related Fields , vol.110 , pp. 176-277
    • Talagrand, M.1
  • 10
    • 0002034943 scopus 로고    scopus 로고
    • Rigorous results for the p-spin interaction model
    • To appear
    • TALAGRAND, M. (1999). Rigorous results for the p-spin interaction model. Probab. Theory Related Fields. To appear.
    • (1999) Probab. Theory Related Fields
    • Talagrand, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.