Fusion, propagation, and structuring in belief networks
Artificial Intelligence
Probabilistic reasoning in intelligent systems: networks of plausible inference
Probabilistic reasoning in intelligent systems: networks of plausible inference
Probabilistic reasoning in expert systems: theory and algorithms
Probabilistic reasoning in expert systems: theory and algorithms
Propagation of variance of probabilities in belief networks for expert systems and decision analysis applications
Approximate Reasoning Models
Numerical Mathematics and Computing
Numerical Mathematics and Computing
An Empirical Evaluation of a Randomized Algorithm for Probabilistic Inference
UAI '89 Proceedings of the Fifth Annual Conference on Uncertainty in Artificial Intelligence
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In recent years the belief network has been used increasingly to model systems in AI that must perform uncertain inference. The development of efficient algorithms for probabilistic inference in belief networks has been a focus of much research in AI. Efficient algorithms for certain classes of belief networks have been developed, but the problem of reporting the uncertainty in inferred probabilities has received little attention. A system should not only be capable of reporting the values of inferred probabilities and/or the favorable choices of a decision; it should report the range of possible error in the inferred probabilities and/or choices. Two methods have been developed and implemented for determining the variance in inferred probabilities in belief networks. These methods, the Approximate Propagation Method and the Monte Carlo Integration Method are discussed and compared in this paper.