A characterization of interventional distributions in semi-Markovian causal models

  • Authors:
  • Jin Tian;Changsung Kang;Judea Pearl

  • Affiliations:
  • Department of Computer Science, Iowa State University, Ames, IA;Department of Computer Science, Iowa State University, Ames, IA;Cognitive Systems Laboratory, Computer Science Department, University of California, Los Angeles, CA

  • Venue:
  • AAAI'06 proceedings of the 21st national conference on Artificial intelligence - Volume 2
  • Year:
  • 2006

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Abstract

We offer a complete characterization of the set of distributions that could be induced by local interventions on variables governed by a causal Bayesian network of unknown structure, in which some of the variables remain unmeasured. We show that such distributions are constrained by a simply formulated set of inequalities, from which bounds can be derived on causal effects that are not directly measured in randomized experiments.