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A. van Beek

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Preprint Aug 2026

Posterior Geometry and Identifiability in Multi-Response Bayesian Calibration

A latent-variable multi-response calibration model that combines empirical Bayes estimation of nuisance hyperparameters with a Fisher-information-based local Gaussian approximation of the calibration-parameter posterior is presented, establishing expected-Fisher posterior geometry as a scalable diagnostic of local para...

A. van Beek, Adam M. Boyce, W. Dawson et al. · 0 citations
#machine learning Preprint Aug 2026

Learning the Geometry of Admissible Hypotheses through Inductive Bias in Training Distributions

This work presents a framework for learning continuous latent representations of admissible partial differential equations by embedding a scientific inductive bias directly into the training distribution, and shows that embedding a scientific inductive bias in the training distribution enables the learning of compact a...

James Crowley, Faez Ahmed, A. van Beek · 0 citations

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