
ABSTRACT: This memo describes a propagation algorithm for all beliefs obtained from a single factoring of a Bayesian network.
ABSTRACT: This working paper shows the NP-Hardness of the Optimal Factoring Problem.
ABSTRACT: An experiment in Bayesian model building from a large medical dataset for Mental Retardation is discussed in this paper. We give a step by step approach to the practical aspects of building a Bayesian Network from a dataset. We enumerate the tools required, address the problem of missing values in big datasets resulting from surveys, and elaborate on our solution to the problem. We advance some reasons why imputation is a more desirable approach for model building than some other ad hoc methods suggested in literature. We use the CHDS dataset, Hugin software, CB algorithm, IMP algorithm and CondProb program for generating our model. The network structure and the conditional probabilities are modified under the guidance of the domain expert. We also present validation results and give some suggestions for improvement of the model.
ABSTRACT: Previous algorithms for the recovery of
Bayesian belief network structures from data have been either highly
dependent on conditional independence (CI) tests, or have required an
ordering on the nodes to be supplied by the user. We present an
alogrithm that integrates these two approaches - CI tests are used to
generate an ordering on the nodes from the database which is then used to
recover the underlying Bayesian network structure using non CI based
methods. Results of the evaluation of the algortihm on a number of
networks (ex. ALARM, LED and SOYBEAN) are presented. We also discuss
some algorithm performance issues and open problems.
ABSTRACT: An important issue in the use of expert
systems is the so-called brittleness problem. Expert systems
model only a limited part of the world. While the explicit management of
uncertainty in expert systems mitigates the brittleness problem, it is
still possible for a system to be used, unwittingly, in ways that the
system is not prepared to address. Such situations may be detected by
the method of straw models,first presented by Jensen et al. [1990]
and later generalized and justified by Laskey [1991]. We describe an
algorithm, which we have implemented, that takes as input an annotated
diagnostic Bayesian network (the base model) and constructs,
without assistance, a bipartide network to be used as a straw model. We
show that in some cases this straw model is better than the independent
straw model of Jensen et al., the only other straw model for which a
construction algorithm has been designed and implemented.
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