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Volumn 433, Issue 2, 2010, Pages 424-432

Probability matrices, non-negative rank, and parameterization of mixture models

Author keywords

Contingency tables; Optimization on algebraic varieties; Parameter redundancy

Indexed keywords

ALGEBRAIC VARIETIES; CONTINGENCY TABLE; CONTINGENCY TABLES; MIXTURE MODEL; NON-NEGATIVE MATRIX; OPTIMIZATION PROBLEMS; PARAMETER REDUNDANCY; PROBABILITY AND STATISTICS; STATISTICAL MODELS;

EID: 77953135649     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.laa.2010.03.010     Document Type: Article
Times cited : (4)

References (16)
  • 1
    • 9244259543 scopus 로고
    • Nonnegative, ranks, and decompositions and factorizations of nonnegative matrices
    • Cohen J.E., and Rothblum U.G. Nonnegative, ranks, and decompositions and factorizations of nonnegative matrices. Linear Algebra Appl. 190 (1993) 149-168
    • (1993) Linear Algebra Appl. , vol.190 , pp. 149-168
    • Cohen, J.E.1    Rothblum, U.G.2
  • 3
    • 7444224120 scopus 로고    scopus 로고
    • On reduced rank nonnegative matrix factorization for symmetric nonnegative matrices
    • Catral M., Han L., Neumann M., and Plemmons R. On reduced rank nonnegative matrix factorization for symmetric nonnegative matrices. Linear Algebra Appl. 393 (2004) 107-126
    • (2004) Linear Algebra Appl. , vol.393 , pp. 107-126
    • Catral, M.1    Han, L.2    Neumann, M.3    Plemmons, R.4
  • 4
    • 46449137567 scopus 로고    scopus 로고
    • Non-negative matrix factorization with fixed row and column sums
    • Ho N.-D., and Van Dooren P. Non-negative matrix factorization with fixed row and column sums. Linear Algebra Appl. 429 (2008) 1020-1025
    • (2008) Linear Algebra Appl. , vol.429 , pp. 1020-1025
    • Ho, N.-D.1    Van Dooren, P.2
  • 5
    • 33646910575 scopus 로고    scopus 로고
    • Nonnegative matrix factorization and i-divergence alternating minimization
    • Finesso L., and Spreij P. Nonnegative matrix factorization and i-divergence alternating minimization. Linear Algebra Appl. 416 (2006) 270-287
    • (2006) Linear Algebra Appl. , vol.416 , pp. 270-287
    • Finesso, L.1    Spreij, P.2
  • 9
    • 77953132899 scopus 로고    scopus 로고
    • Open problems in algebraic statistics
    • Emerging Applications of Algebraic Geometry. Putinar M., and Sullivant S. (Eds), Springer, New York
    • Sturmfels B. Open problems in algebraic statistics. In: Putinar M., and Sullivant S. (Eds). Emerging Applications of Algebraic Geometry. I.M.A. Volumes in Mathematics and its Applications vol. 149 (2008), Springer, New York 351-364
    • (2008) I.M.A. Volumes in Mathematics and its Applications , vol.149 , pp. 351-364
    • Sturmfels, B.1
  • 11
    • 77953139064 scopus 로고    scopus 로고
    • Solving the 100 swiss francs problem
    • Available from:
    • S. Gao, G. Jiang, M. Zhu, Solving the 100 swiss francs problem, 2008. Available from: .
    • (2008)
    • Gao, S.1    Jiang, G.2    Zhu, M.3
  • 12
    • 84927062095 scopus 로고    scopus 로고
    • Maximum likelihood estimation in latent class models for contingency table data
    • Gibilisco P., Riccomagno E., Rogantin M.P., and Wynn H.P. (Eds), Cambridge University Press
    • Fienberg S.E., Hersh P., Rinaldo A., and Zhou Y. Maximum likelihood estimation in latent class models for contingency table data. In: Gibilisco P., Riccomagno E., Rogantin M.P., and Wynn H.P. (Eds). Algebraic and Geometric Methods in Statistics (2010), Cambridge University Press 27-62
    • (2010) Algebraic and Geometric Methods in Statistics , pp. 27-62
    • Fienberg, S.E.1    Hersh, P.2    Rinaldo, A.3    Zhou, Y.4
  • 13
    • 0000416816 scopus 로고    scopus 로고
    • Detecting parameter redundancy
    • Catchpole E., and Morgan B. Detecting parameter redundancy. Biometrika 84 1 (1997) 187-196
    • (1997) Biometrika , vol.84 , Issue.1 , pp. 187-196
    • Catchpole, E.1    Morgan, B.2
  • 14
    • 0001178861 scopus 로고    scopus 로고
    • Estimation in parameter-redundant models
    • Catchpole E., Morgan B., and Freeman S. Estimation in parameter-redundant models. Biometrika 85 2 (1998) 462-468
    • (1998) Biometrika , vol.85 , Issue.2 , pp. 462-468
    • Catchpole, E.1    Morgan, B.2    Freeman, S.3
  • 15
    • 0003785209 scopus 로고
    • Springer-Verlag, New York
    • Harris J. Algebraic Geometry. A First course. Graduate Texts in Mathematics vol. 133 (1992), Springer-Verlag, New York
    • (1992) Graduate Texts in Mathematics , vol.133
    • Harris, J.1
  • 16
    • 74449088035 scopus 로고    scopus 로고
    • Nonnegative rank factorization via rank reduction
    • preprint
    • B. Dong, M.M. Lin, M.T. Chu, Nonnegative rank factorization via rank reduction, preprint, 2009.
    • (2009)
    • Dong, B.1    Lin, M.M.2    Chu, M.T.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.