Solving the 100 Swiss Francs Problem
作者： Mingfu Zhu , Shuhong Gao , Guangran Jiang
DOI: 10.1007/S11786-011-0068-3
关键词:
摘要: Sturmfels offered 100 Swiss Francs in 2005 to a conjecture, which deals with special case of the maximum likelihood estimation for latent class model. This paper confirms conjecture positively.
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sci-hub.st 参考文章(12)
Algebraic Statistics for Computational Biology Cambridge University Press. ,(2005) , 10.1017/CBO9780511610684
Shuhong Gao, A New Algorithm for Computing Grobner Bases ,(2010)
F. (Fabrizio) Catanese, Serkan Hosten, Amit Khetan, Bernd Sturmfels, The maximum likelihood degree American Journal of Mathematics. ,vol. 128, pp. 671- 697 ,(2006) , 10.1353/AJM.2006.0019
Jean Charles Faugère, A new efficient algorithm for computing Gröbner bases without reduction to zero (F5) international symposium on symbolic and algebraic computation. pp. 75- 83 ,(2002) , 10.1145/780506.780516
Serkan Hosten, Amit Khetan, Bernd Sturmfels, Solving the Likelihood Equations Foundations of Computational Mathematics. ,vol. 5, pp. 389- 407 ,(2005) , 10.1007/S10208-004-0156-8
Shuhong Gao, Yinhua Guan, Frank Volny, A new incremental algorithm for computing Groebner bases international symposium on symbolic and algebraic computation. pp. 13- 19 ,(2010) , 10.1145/1837934.1837944
Bernd Sturmfels, Open Problems in Algebraic Statistics arXiv: Statistics Theory. pp. 351- 363 ,(2009) , 10.1007/978-0-387-09686-5_10
Jean-Charles Faugére, A new efficient algorithm for computing Gröbner bases (F4) Journal of Pure and Applied Algebra. ,vol. 139, pp. 61- 88 ,(1999) , 10.1016/S0022-4049(99)00005-5
Patricia Hersh, Stephen E. Fienberg, Alessandro Rinaldo, Yi Zhou, Maximum Likelihood Estimation in Latent Class Models For Contingency Table Data arXiv: Methodology. ,(2007)