Author

Mark Girolami

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Preprint Sep 2026

When Noise Estimation Hides Basis Misspecification in Repeated Bayesian Inverse Problems

Basis-restricted priors in Bayesian inverse problems can lose coverage when the truth has components outside the basis. We show that estimating the observation-noise variance can hide this loss. Under a linear forward model, when the in-span prior variance dominates the noise, the maximum-likelihood noise estimate abso...

Rares Grozavescu, Mark Girolami · 0 citations

#machine learning Preprint Sep 2026

Beyond Unimodal Bases: Pullback Geometry for Multimodal Data

Data-driven Riemannian geometry provides nonlinear interpolation and geometric representations of high-dimensional data. For these operations to be statistically meaningful, paths between observations should preferentially traverse high-likelihood regions. Existing scalable pullback constructions typically use a unimod...

Honglei Brinkmann, Lucas Ng, Georgios Batzolis et al. · 0 citations