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Author

Mark Girolami

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#natural language process... Preprint Oct 2026

Multimodal Co-Generation With Continuous Bitstream Diffusion

We show that continuous bitstream diffusion (CoBit), originally developed for language modeling, provides a unified framework for joint and conditional multimodal generation using the same training and sampling protocol. Across image-text, speech-text and protein sequence-structure modeling, models are trained separate...

Georgios Batzolis, Georgios Kontos, Bruno Trentini et al. · 0 citations
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
#machine learning Preprint Sep 2026

Generative Priors Conditioned on Natural Language for Bayesian Inversion in PDEs

Two parallel approaches to inference and uncertainty quantification over QoI are developed, one uses conditional diffusion and the other conditional autoencoders, and are compared against classical Bayesian methodology, unconditional generative models and deterministic supervised methods.

Peng-Yu Zhang, Mark Girolami, Arnaud Vadeboncoeur · 0 citations

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