Causal independence for probability assessment and inference using Bayesian networks

A Bayesian network is a probabilistic representation for uncertain relationships, which has proven to be useful for modeling real-world problems. When there are many potential causes of a given effect, however, both probability assessment and inference using a Bayesian network can be difficult. In this paper, we describe causal independence, a collection of conditional independence assertions and functional relationships that are often appropriate to apply to the representation of the uncertain interactions between causes and effect. We show how the use of causal independence in a Bayesian network can greatly simplify probability assessment as well as probabilistic inference.

[1]  Donald B. Rubin,et al.  Bayesian Inference for Causal Effects: The Role of Randomization , 1978 .

[2]  Judea Pearl,et al.  A Computational Model for Causal and Diagnostic Reasoning in Inference Systems , 1983, IJCAI.

[3]  P. Holland Statistics and Causal Inference , 1985 .

[4]  Ross D. Shachter Evaluating Influence Diagrams , 1986, Oper. Res..

[5]  Max Henrion,et al.  Some Practical Issues in Constructing Belief Networks , 1987, UAI.

[6]  David J. Spiegelhalter,et al.  Local computations with probabilities on graphical structures and their application to expert systems , 1990 .

[7]  Ross D. Shachter Probabilistic Inference and Influence Diagrams , 1988, Oper. Res..

[8]  Judea Pearl,et al.  Probabilistic reasoning in intelligent systems - networks of plausible inference , 1991, Morgan Kaufmann series in representation and reasoning.

[9]  David J. Spiegelhalter,et al.  Sequential updating of conditional probabilities on directed graphical structures , 1990, Networks.

[10]  Radford M. Neal Connectionist Learning of Belief Networks , 1992, Artif. Intell..

[11]  David Heckerman,et al.  Causal Independence for Knowledge Acquisition and Inference , 1993, UAI.

[12]  Sampath Srinivas,et al.  A Generalization of the Noisy-Or Model , 1993, UAI.

[13]  Francisco Javier Díez,et al.  Parameter adjustment in Bayes networks. The generalized noisy OR-gate , 1993, UAI.

[14]  David J. Spiegelhalter,et al.  Bayesian analysis in expert systems , 1993 .

[15]  David Heckerman,et al.  A New Look at Causal Independence , 1994, UAI.

[16]  Ross D. Shachter,et al.  A Decision-based View of Causality , 1994, UAI.

[17]  D. Madigan,et al.  Model Selection and Accounting for Model Uncertainty in Graphical Models Using Occam's Window , 1994 .

[18]  Wray L. Buntine Operations for Learning with Graphical Models , 1994, J. Artif. Intell. Res..

[19]  David Heckerman,et al.  Decision-theoretic troubleshooting , 1995, CACM.

[20]  Ross D. Shachter,et al.  Decision-Theoretic Foundations for Causal Reasoning , 1995, J. Artif. Intell. Res..

[21]  J. Pearl Causal diagrams for empirical research , 1995 .

[22]  J. Pearl Causal diagrams for empirical researchRejoinder to Discussions of ‘Causal diagrams for empirical research’ , 1995 .

[23]  Bruce D'Ambrosio,et al.  Local expression languages for probabilistic dependence , 1995, Int. J. Approx. Reason..

[24]  Michael P. Wellman,et al.  Real-world applications of Bayesian networks , 1995, CACM.