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  • Graphoid
  • Graphoid math statements

    A graphoid is a set of statements of the form, "X is irrelevant to Y given that we know Z" where X, Y and Z are sets of variables. The notion of "irrelevance"

    Graphoid

    Graphoid

  • Matroid
  • Abstraction of linear independence of vectors

    {\displaystyle E} , then ( E , C , D ) {\displaystyle (E,C,D)} is a graphoid. Thus, graphoids give a self-dual cryptomorphic axiomatization of matroids. Let

    Matroid

    Matroid

  • Conditional independence
  • Probability theory concept

    mathematical relation between a collection of conditional statements and a graphoid. Let A {\displaystyle A} , B {\displaystyle B} , and C {\displaystyle C}

    Conditional independence

    Conditional independence

    Conditional_independence

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