Hill-climbing and branch-and-bound algorithms for exact and approximate inference in credal networks

  • Authors:
  • Andrés Cano;Manuel Gómez;Serafín Moral;Joaquín Abellán

  • Affiliations:
  • Department of Computer Science and Artificial Intelligence, E.T.S. Ingeniería Informática, University of Granada, 18071 Granada, Spain;Department of Computer Science and Artificial Intelligence, E.T.S. Ingeniería Informática, University of Granada, 18071 Granada, Spain;Department of Computer Science and Artificial Intelligence, E.T.S. Ingeniería Informática, University of Granada, 18071 Granada, Spain;Department of Computer Science and Artificial Intelligence, E.T.S. Ingeniería Informática, University of Granada, 18071 Granada, Spain

  • Venue:
  • International Journal of Approximate Reasoning
  • Year:
  • 2007

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Abstract

This paper proposes two new algorithms for inference in credal networks. These algorithms enable probability intervals to be obtained for the states of a given query variable. The first algorithm is approximate and uses the hill-climbing technique in the Shenoy-Shafer architecture to propagate in join trees; the second is exact and is a modification of Rocha and Cozman's branch-and-bound algorithm, but applied to general directed acyclic graphs.