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Volumn 1720, Issue , 1999, Pages 39-50

Algebraic analysis for singular statistical estimation

Author keywords

[No Author keywords available]

Indexed keywords

FREE ENERGY; STOCHASTIC SYSTEMS;

EID: 0002550762     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/3-540-46769-6_4     Document Type: Conference Paper
Times cited : (40)

References (14)
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    • 0027884625 scopus 로고
    • On the problem of applying AIC to determine the structure of a layered feed-forward neural network
    • Hagiwara, K., Toda, N., Usui, S.,: On the problem of applying AIC to determine the structure of a layered feed-forward neural network. Proc. of IJCNN Nagoya Japan. 3 (1993) 2263-2266
    • (1993) Proc. of IJCNN Nagoya Japan , vol.3 , pp. 2263-2266
    • Hagiwara, K.1    Toda, N.2    Usui, S.3
  • 3
    • 0040567317 scopus 로고    scopus 로고
    • Inequalities of generalization errors for layered neural networks in Bayesian learning
    • Watanabe, S.: Inequalities of generalization errors for layered neural networks in Bayesian learning. Proc. of ICONIP 98 (1998) 59-62
    • (1998) Proc. of ICONIP , vol.98 , pp. 59-62
    • Watanabe, S.1
  • 4
    • 0025508916 scopus 로고
    • A statistical approaches to learning and generalization in layered neural networks
    • Levin, E., Tishby, N., Solla, S.A.: A statistical approaches to learning and generalization in layered neural networks. Proc. of IEEE 78(10) (1990) 1568-1674
    • (1990) Proc. of IEEE , vol.78 , Issue.10 , pp. 1568-1674
    • Levin, E.1    Tishby, N.2    Solla, S.A.3
  • 6
    • 0000557192 scopus 로고
    • On zeta functions associated with prehomogeneous vector space
    • Sato, M.,Shintani, T.: On zeta functions associated with prehomogeneous vector space. Anals. of Math., 100 (1974) 131-170
    • (1974) Anals. of Math , vol.100 , pp. 131-170
    • Sato, M.1    Shintani, T.2
  • 7
    • 0001620260 scopus 로고
    • The analytic continuation of generalized functions with respect to a parameter
    • Bernstein, I.N.: The analytic continuation of generalized functions with respect to a parameter. Functional Anal. Appl. 6 (1972) 26-40.
    • (1972) Functional Anal. Appl , vol.6 , pp. 26-40
    • Bernstein, I.N.1
  • 9
    • 0003015630 scopus 로고
    • B-functions and holonomic systems
    • Kashiwara, M.: B-functions and holonomic systems. Inventions Math. 38 (1976) 33-53.
    • (1976) Inventions Math , vol.38 , pp. 33-53
    • Kashiwara, M.1
  • 11
    • 18844475807 scopus 로고    scopus 로고
    • Algebraic analysis for neural network learning
    • to appear
    • Watanabe, S.:Algebraic analysis for neural network learning. Proc. of IEEE SMC Symp., 1999, to appear.
    • (1999) Proc. of IEEE SMC Symp
    • Watanabe, S.1
  • 12
    • 0000839087 scopus 로고    scopus 로고
    • On the generalization error by a layered statistical model with Bayesian estimation
    • (The English version is to appear in Elect. and Comm. in Japan. John Wiley and Sons)
    • Watanabe, S.:On the generalization error by a layered statistical model with Bayesian estimation. IEICE Trans. J81-A (1998) 1442-1452. (The English version is to appear in Elect. and Comm. in Japan. John Wiley and Sons)
    • (1998) IEICE Trans , vol.J81-A , pp. 1442-1452
    • Watanabe, S.1
  • 13
    • 84980186498 scopus 로고
    • Resolution of Singularities and Division of Distributions
    • Atiyah, M.F.: Resolution of Singularities and Division of Distributions. Comm. Pure and Appl. Math. 13 (1970) 145-150
    • (1970) Comm. Pure and Appl. Math , vol.13 , pp. 145-150
    • Atiyah, M.F.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.