A probabilistic calculus of actions

  • Authors:
  • Judea Pearl

  • Affiliations:
  • Cognitive Systems Laboratory, Computer Science Department, University of California, Los Angeles, CA

  • Venue:
  • UAI'94 Proceedings of the Tenth international conference on Uncertainty in artificial intelligence
  • Year:
  • 1994

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Abstract

We present a symbolic machinery that admits both probabilistic and causal information about a given domain and produces probabilistic statements about the effect of actions and the impact of observations. The calculus admits two types of conditioning operators: ordinary Bayes conditioning, P(y|X = x), which represents the observation X = x, and causal conditioning, P(y|do(X = x)), read the probability of Y = y conditioned on holding X constant (at x) by deliberate action. Given a mixture of such observational and causal sentences, together with the topology of the causal graph, the calculus derives new conditional probabilities of both types, thus enabling one to quantify the effects of actions (and policies) from partially specified knowledge bases, such as Bayesian networks in which some conditional probabilities may not be available.