Noisy-OR Models with Latent Confounding

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Noisy-OR Models with Latent Confounding
Given a set of experiments in which varying subsets of observed variables are subject to intervention, we consider the problem of identifiability of causal models exhibiting latent confounding. While identifiability is trivial when each experiment intervenes on a large number of variables, the situation is more complicated when only one or a few variables are subject to intervention per experiment. For linear causal models with latent variables Hyttinen et al. (2010) gave precise conditions for when such data are sufficient to identify the full model. While their result cannot be extended to discrete-valued variables with arbitrary cause-effect relationships, we show that a similar result can be obtained for the class of causal models whose conditional probability distributions are restricted to a ‘noisy-OR’ parameterization. We further show that identification is preserved under an extension of the model that allows for negative influences, and present learning algorithms th...
Antti Hyttinen, Frederick Eberhardt, Patrik O. Hoy
Added 20 Apr 2012
Updated 20 Apr 2012
Type Journal
Year 2012
Where CORR
Authors Antti Hyttinen, Frederick Eberhardt, Patrik O. Hoyer
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