BBS Seminar, 1 November 2019, Basel

Probabilistic DAGs - Bayesian networks

Compact representation of multivariate probability distributions

Probabilistic graphical models for a set of variables \(\{ X_1, X_2, \ldots, X_n \}\) characterized by

  • a graphical structure, directed and acyclic, whose nodes are the variables
  • a probability model for each node describing the relationship with its parents
  • edges encode conditional independencies (any variable is conditionally independent of its non-descendant given its parents)