메뉴 건너뛰기




Volumn 57, Issue 6, 2011, Pages 3236-3247

Finding the maximizers of the information divergence from an exponential family

Author keywords

Binomial equations; exponential family; information divergence; optimization; relative entropy

Indexed keywords

BINOMIAL EQUATIONS; CONVEX COMBINATIONS; EXPONENTIAL FAMILY; INFORMATION DIVERGENCE; PROBABILITY MEASURES; RELATIVE ENTROPY; SUFFICIENT STATISTICS;

EID: 79957654873     PISSN: 00189448     EISSN: None     Source Type: Journal    
DOI: 10.1109/TIT.2011.2136230     Document Type: Article
Times cited : (23)

References (18)
  • 1
    • 79957653474 scopus 로고    scopus 로고
    • 4ti2-a Software Package for Algebraic, 4ti2 team [Online]. Available:
    • 4ti2-a Software Package for Algebraic, Geometric and Combinatorial Problems on Linear Spaces 4ti2 team [Online]. Available: http://www. 4ti2.de
    • Geometric and Combinatorial Problems on Linear Spaces
  • 2
    • 0035995574 scopus 로고    scopus 로고
    • An information-geometric approach to a theory of pragmatic structuring
    • N. Ay, "An information-geometric approach to a theory of pragmatic structuring," Ann. Probab., vol. 30, pp. 416-436, 2002.
    • (2002) Ann. Probab. , vol.30 , pp. 416-436
    • Ay, N.1
  • 3
    • 33846165056 scopus 로고    scopus 로고
    • Maximizing multi-information
    • N. Ay and A. Knauf, "Maximizing multi-information," Kybernetika, vol. 42, pp. 517-538, 2006.
    • (2006) Kybernetika , vol.42 , pp. 517-538
    • Ay, N.1    Knauf, A.2
  • 8
    • 0000496189 scopus 로고    scopus 로고
    • Binomial ideals
    • DOI 10.1215/S0012-7094-96-08401-X
    • D. Eisenbud and B. Sturmfels, "Binomial ideals," Duke Math. J., vol. 84, no. 1, pp. 1-45, 1996. (Pubitemid 126344933)
    • (1996) Duke Mathematical Journal , vol.84 , Issue.1 , pp. 1-45
    • Eisenbud, D.1    Sturmfels, B.2
  • 10
    • 79957663611 scopus 로고    scopus 로고
    • Computing generating sets of lattice ideals
    • R. Hemmecke and P. Malkin, "Computing generating sets of lattice ideals," J. Symb. Comput., 2009.
    • (2009) J. Symb. Comput.
    • Hemmecke, R.1    Malkin, P.2
  • 11
    • 77958065229 scopus 로고    scopus 로고
    • Decomposition of binomial ideals
    • T. Kahle, "Decomposition of binomial ideals," AISM, vol. 62, no. 4, pp. 727-745, 2009.
    • (2009) AISM , vol.62 , Issue.4 , pp. 727-745
    • Kahle, T.1
  • 12
    • 0004047518 scopus 로고    scopus 로고
    • Graphical models
    • 1st ed. Oxford, U.K.: Oxford Univ. Press
    • S. L. Lauritzen, "Graphical models," in Oxford Statistical Science Series, 1st ed. Oxford, U.K.: Oxford Univ. Press, 1996.
    • (1996) Oxford Statistical Science Series
    • Lauritzen, S.L.1
  • 13
    • 43649101935 scopus 로고    scopus 로고
    • Optimality conditions for maximizers of the information divergence from an exponential family
    • F. Matúš, "Optimality conditions for maximizers of the information divergence from an exponential family," Kybernetika, vol. 43, no. 5, pp. 731-746, 2007.
    • (2007) Kybernetika , vol.43 , Issue.5 , pp. 731-746
    • Matúš, F.1
  • 14
    • 77955627631 scopus 로고    scopus 로고
    • Divergence from factorizable distributions and matroid representations by partitions
    • Dec.
    • F. Matúš, "Divergence from factorizable distributions and matroid representations by partitions," IEEE Trans. Inf. Theory, vol. 55, no. 12, pp. 5375-5381, Dec. 2009.
    • (2009) IEEE Trans. Inf. Theory , vol.55 , Issue.12 , pp. 5375-5381
    • Matúš, F.1
  • 15
    • 33846127254 scopus 로고    scopus 로고
    • On maximization of the information divergence from an exponential family
    • Prague, Czech Republic
    • F. Matúš and N. Ay, "On maximization of the information divergence from an exponential family," in Proc. WUPES'03, Prague, Czech Republic, 2003, pp. 199-204.
    • (2003) Proc. WUPES'03 , pp. 199-204
    • Matúš, F.1    Ay, N.2
  • 16
    • 4644258912 scopus 로고    scopus 로고
    • TOPCOM: Triangulations of point configurations and oriented matroids
    • A.M. Cohen, X. Gao, and N. Takayama, Eds.
    • J. Rambau, "TOPCOM: Triangulations of point configurations and oriented matroids," in Proc. Mathematical Software-ICMS 2002, A.M. Cohen, X. Gao, and N. Takayama, Eds., 2002, pp. 330-340.
    • (2002) Proc. Mathematical Software-ICMS 2002 , pp. 330-340
    • J. Rambau1
  • 17
    • 79954417995 scopus 로고    scopus 로고
    • Support sets of exponential families and oriented matroids
    • J. Rauh, T. Kahle, and N. Ay, "Support sets of exponential families and oriented matroids," Int. J. Approx. Reas., vol. 52, pp. 613-626, 2011.
    • (2011) Int. J. Approx. Reas. , vol.52 , pp. 613-626
    • Rauh, J.1    Kahle, T.2    Ay, N.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.