Fusion, propagation, and structuring in belief networks
Artificial Intelligence
The fast Fourier transform and its applications
The fast Fourier transform and its applications
Axioms for probability and belief-function propagation
Readings in uncertain reasoning
Real-world applications of Bayesian networks
Communications of the ACM
Introduction to Bayesian Networks
Introduction to Bayesian Networks
Stable local computation with conditional Gaussian distributions
Statistics and Computing
Simulation Approaches to General Probabilistic Inference on Belief Networks
UAI '89 Proceedings of the Fifth Annual Conference on Uncertainty in Artificial Intelligence
Making Resource Decisions for Software Projects
Proceedings of the 26th International Conference on Software Engineering
A general algorithm for approximate inference and its application to hybrid bayes nets
UAI'99 Proceedings of the Fifteenth conference on Uncertainty in artificial intelligence
A variational approximation for Bayesian networks with discrete and continuous latent variables
UAI'99 Proceedings of the Fifteenth conference on Uncertainty in artificial intelligence
Nonuniform dynamic discretization in hybrid networks
UAI'97 Proceedings of the Thirteenth conference on Uncertainty in artificial intelligence
Nonlinear deterministic relationships in bayesian networks
ECSQARU'05 Proceedings of the 8th European conference on Symbolic and Quantitative Approaches to Reasoning with Uncertainty
Predicting software defects in varying development lifecycles using Bayesian nets
Information and Software Technology
A socio-technical approach to business process simulation
Decision Support Systems
Nonparametric belief propagation
Communications of the ACM
Comparing risks of alternative medical diagnosis using Bayesian arguments
Journal of Biomedical Informatics
Availability modelling of repairable systems using Bayesian networks
Engineering Applications of Artificial Intelligence
Bayesian Networks for the management of greenhouse gas emissions in the British agricultural sector
Environmental Modelling & Software
Answering queries in hybrid Bayesian networks using importance sampling
Decision Support Systems
Discretization methods for NBC in effort estimation: an empirical comparison based on ISBSG projects
Proceedings of the ACM-IEEE international symposium on Empirical software engineering and measurement
Decision support system for Warfarin therapy management using Bayesian networks
Decision Support Systems
Inference for a new probabilistic constraint logic
IJCAI'13 Proceedings of the Twenty-Third international joint conference on Artificial Intelligence
Incorporating expert judgement into Bayesian network machine learning
IJCAI'13 Proceedings of the Twenty-Third international joint conference on Artificial Intelligence
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We consider approximate inference in hybrid Bayesian Networks (BNs) and present a new iterative algorithm that efficiently combines dynamic discretization with robust propagation algorithms on junction trees. Our approach offers a significant extension to Bayesian Network theory and practice by offering a flexible way of modeling continuous nodes in BNs conditioned on complex configurations of evidence and intermixed with discrete nodes as both parents and children of continuous nodes. Our algorithm is implemented in a commercial Bayesian Network software package, AgenaRisk, which allows model construction and testing to be carried out easily. The results from the empirical trials clearly show how our software can deal effectively with different type of hybrid models containing elements of expert judgment as well as statistical inference. In particular, we show how the rapid convergence of the algorithm towards zones of high probability density, make robust inference analysis possible even in situations where, due to the lack of information in both prior and data, robust sampling becomes unfeasible.