Algebraic geometry of Bayesian networks

نویسندگان

  • Luis David García-Puente
  • Michael Stillman
  • Bernd Sturmfels
چکیده

We study the algebraic varieties defined by the conditional independence statements of Bayesian networks. A complete algebraic classification is given for Bayesian networks on at most five random variables. Hidden variables are related to the geometry of higher secant varieties.

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عنوان ژورنال:
  • J. Symb. Comput.

دوره 39  شماره 

صفحات  -

تاریخ انتشار 2005