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Sebastian J. Vollmer

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#machine learning Preprint Oct 2026

Learning PDE Dynamics between Submanifolds Using Green's Observation Operators

Green's Observation Operator (GObO) is introduced, which maps the ambient medium once to the Green's kernel of a linear PDE restricted to the source and observation submanifolds, and yields an exact finite streaming state with horizon-independent memory.

Jan Tauberschmidt, Jephte Abijuru, Naukshatro Bose et al. · 0 citations
#artificial intelligence Preprint Sep 2026

Walking the Score Manifold: Continuous-time Generative Dynamics on Learned Data Manifolds

This work leverage pretrained score-based models as geometric priors and learn a vector field that evolves data along score-induced interpolation paths that supports generation at arbitrary timestamps and temporal super-resolution beyond the discretization of the training data.

Jan Tauberschmidt, Brian B. Moser, Stanislav Frolov et al. · 0 citations

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