Learning equivalence classes of bayesian-network structures
The Journal of Machine Learning Research
Asymptotic model selection for naive Bayesian networks
UAI'02 Proceedings of the Eighteenth conference on Uncertainty in artificial intelligence
New d-separation identification results for learning continuous latent variable models
ICML '05 Proceedings of the 22nd international conference on Machine learning
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Observed associations in a database may be due in whole or part to variations in unrecorded ("latent") variables. Identifying such variables and their causal relationships with one another is a principal goal in many scientific and practical domains. Previous work shows that, given a partition of observed variables such that members of a class share only a single latent common cause, standard search algorithms for causal Bayes nets can infer structural relations between latent variables. We introduce an algorithm for discovering such partitions when they exist. Uniquely among available procedures, the algorithm is (asymptotically) correct under standard assumptions in causal Bayes net search algorithms, requires no prior knowledge of the number of latent variables, and does not depend on the mathematical form of the relationships among the latent variables. We evaluate the algorithm on a variety of simulated data sets.