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Volumn 45, Issue 2, 2009, Pages 189-207

Hierarchical models, marginal polytopes, and linear codes

Author keywords

0 1 polytopes; Exponential families; Hierarchical models; Linear codes

Indexed keywords


EID: 67650739285     PISSN: 00235954     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (7)

References (21)
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  • 2
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  • 3
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    • Gaianiello, E.1
  • 4
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    • Neuronic equations revisited and completely solved
    • G. Palm and A. Aertsen, eds, Springer, Berlin
    • E. Caianiello: Neuronic equations revisited and completely solved. In: Brain Theory (G. Palm and A. Aertsen, eds.), Springer, Berlin 1986.
    • (1986) Brain Theory
    • Caianiello, E.1
  • 5
    • 0000546609 scopus 로고
    • I-divergence geometry of probability distributions and minimization problems
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    • (1975) Ann. Probab , vol.3 , pp. 146-158
    • Csiszár, I.1
  • 7
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    • Additive and multiplicative models and interactions
    • J. N. Darroch and T. P. Speed: Additive and multiplicative models and interactions. Ann. Statist. 11 (1983), 3, 724-738.
    • (1983) Ann. Statist , vol.11 , Issue.3 , pp. 724-738
    • Darroch, J.N.1    Speed, T.P.2
  • 9
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    • H.-O. Georgii: Gibbs Measures and Phase Transitions (de Gruyter Studies in Mathematics 9). Walter de Gruyter, Berlin 1988.
    • H.-O. Georgii: Gibbs Measures and Phase Transitions (de Gruyter Studies in Mathematics 9). Walter de Gruyter, Berlin 1988.
  • 10
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    • E. Gawrilow and M. Joswig: polymake: a framework for analyzing convex polytopes. Polytopes-Combinatorics and Computation, pp. 43-47. Birkhäuser, Basel 2000.
    • E. Gawrilow and M. Joswig: polymake: a framework for analyzing convex polytopes. Polytopes-Combinatorics and Computation, pp. 43-47. Birkhäuser, Basel 2000.
  • 11
    • 0036865863 scopus 로고    scopus 로고
    • Gröbner bases and polyhedral geometry of reducible and cyclic models
    • S. Hoşten and S. Sullivant: Gröbner bases and polyhedral geometry of reducible and cyclic models. J. Combin. Theory Ser. A 100 (2002), 2, 277-301.
    • (2002) J. Combin. Theory Ser. A , vol.100 , Issue.2 , pp. 277-301
    • Hoşten, S.1    Sullivant, S.2
  • 12
    • 67650769585 scopus 로고    scopus 로고
    • Support sets of distributions with given interaction structure
    • T. Kahle and N. Ay: Support sets of distributions with given interaction structure. In: Proc. WUPES 2006, 2006.
    • (2006) Proc. WUPES
    • Kahle, T.1    Ay, N.2
  • 13
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    • Neighborliness of marginal polytopes
    • submitted, arXiv:0809.0786
    • T. Kahle: Neighborliness of marginal polytopes. 2008. submitted, arXiv:0809.0786.
    • (2008)
    • Kahle, T.1
  • 15
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    • S. L. Lauritzen: Graphical Models. (Oxford Statistical Science Series.) Oxford University Press, 1996.
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  • 17
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    • Regular simplices inscribed into the cube and exhibiting a group structure
    • W. Wenzel: Regular simplices inscribed into the cube and exhibiting a group structure. J. Combin. Math. Combin. Comput. 59 (2006), 213-220.
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  • 21
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    • Lectures on 0/1 polytopes
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    • G.M. Ziegler: Lectures on 0/1 polytopes. In: Polytopes-Combinatorics and Computation (G. Kalai and G.M. Ziegler, eds.), pp. 1-41. Birkhäuser, Basel 2000.
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    • Ziegler, G.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.