Removing the fat from your posterior samples with margarine
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Bayesian workflows often require the introduction of nuisance parameters, yet for core science modelling one needs access to a marginal posterior density. In this work we use masked autoregressive flows and kernel density estimators to encapsulate the marginal posterior, allowing us to compute marginal Kullback-Leibler divergences and marginal Bayesian model dimensionalities in addition to generating samples and computing marginal log probabilities. We demonstrate this in application to topical cosmological examples of the Dark Energy Survey, and global 21cm signal experiments. In addition to the computation of marginal Bayesian statistics, this work is important for further applications in Bayesian experimental design, complex prior modelling and likelihood emulation. This technique is made publicly available in the pip-installable code margarine.
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