• Title of article

    Algebraic geometry of Bayesian networks

  • Author/Authors

    Luis David Garcia، نويسنده , , Brandilyn Stigler and Michael Stillman، نويسنده , , Shmuel Onn and Bernd Sturmfels، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2005
  • Pages
    25
  • From page
    331
  • To page
    355
  • Abstract
    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.
  • Keywords
    Bayesian networks , Independence models , Polynomial ideals , Primarydecomposition , Segre varieties , Algebraic statistics , secant varieties
  • Journal title
    Journal of Symbolic Computation
  • Serial Year
    2005
  • Journal title
    Journal of Symbolic Computation
  • Record number

    805836