Probabilistic reasoning in intelligent systems: networks of plausible inference
Probabilistic reasoning in intelligent systems: networks of plausible inference
Probabilistic inference and influence diagrams
Operations Research
A simple parallel tree contraction algorithm
Journal of Algorithms
Probabilistic reasoning in expert systems: theory and algorithms
Probabilistic reasoning in expert systems: theory and algorithms
Introduction to algorithms
An introduction to parallel algorithms
An introduction to parallel algorithms
Parallelizing probabilistic inference: some early explorations
UAI '92 Proceedings of the eighth conference on Uncertainty in Artificial Intelligence
Approximating probabilistic inference in Bayesian belief networks is NP-hard
Artificial Intelligence
Lectures on parallel computation
Lectures on parallel computation
Artificial intelligence: a modern approach
Artificial intelligence: a modern approach
A parallel Lauritzen-Spiegelhalter algorithm for probabilistic inference
Proceedings of the 1994 ACM/IEEE conference on Supercomputing
Evidence Absorption and Propagation through Evidence Reversals
UAI '89 Proceedings of the Fifth Annual Conference on Uncertainty in Artificial Intelligence
Directed reduction algorithms and decomposable graphs
UAI '90 Proceedings of the Sixth Annual Conference on Uncertainty in Artificial Intelligence
Parallel tree contraction and its application
SFCS '85 Proceedings of the 26th Annual Symposium on Foundations of Computer Science
Logarithmic-time updates and queries in probabilistic networks
Journal of Artificial Intelligence Research
Scalable Parallel Implementation of Exact Inference in Bayesian Networks
ICPADS '06 Proceedings of the 12th International Conference on Parallel and Distributed Systems - Volume 1
Parallel exact inference on the cell broadband engine processor
Proceedings of the 2008 ACM/IEEE conference on Supercomputing
Parallel Evidence Propagation on Multicore Processors
PaCT '09 Proceedings of the 10th International Conference on Parallel Computing Technologies
Parallel exact inference on the Cell Broadband Engine processor
Journal of Parallel and Distributed Computing
Parallelizing a convergent approximate inference method
Canadian AI'11 Proceedings of the 24th Canadian conference on Advances in artificial intelligence
Parallel evidence propagation on multicore processors
The Journal of Supercomputing
Adaptive Exact Inference in Graphical Models
The Journal of Machine Learning Research
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I present a parallel algorithm for exact probabilistic inference in Bayesian networks. For polytree networks with n variables, the worstcase time complexity is O(logn) on a CREW PRAM (concurrent-read, exclusive-write parallel random-access machine) with n processors, for any constant number of evidence variables. For arbitrary networks, the time complexity is O(r3w log n) for n processors, or O(w log n) for r3w log n processors, where r is the maximum range of any variable, and w is the induced width (the maximum clique size), after moralizing and triangulating the network.