Intercausal reasoning with uninstantiated ancestor nodes

  • Authors:
  • Marek J. Druzdzel;Max Henrion

  • Affiliations:
  • Carnegie Mellon University, Department of Engineering and Public Policy, Pittsburgh, PA;Rockwell International Science Center, Palo Alto Laboratory, Palo Alto, CA

  • Venue:
  • UAI'93 Proceedings of the Ninth international conference on Uncertainty in artificial intelligence
  • Year:
  • 1993

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Abstract

Intercausal reasoning is a common inference pattern involving probabilistic dependence of causes of an observed common effect. The sign of this dependence is captured by a qualitative property called product synergy. The current definition of product synergy is insufficient for intercausal reasoning where there are additional uninstantiated causes of the common effect. We propose a new definition of product synergy and prove its adequacy for intercausal reasoning with direct and indirect evidence for the common effect. The new definition is based on a new property matrix half positive semi-definiteness, a weakened form of matrix positive semi-definiteness.