Author

Mathias Ziegler

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Preprint Sep 2026

Spectral Geometry and Dispersion-Constrained Projection of Diffusive Fields

Diffusive fields obey operator-imposed relations between spatial structure and temporal decay, yet conventional spectral filtering selects components primarily according to frequency or wavenumber magnitude. Here we show that the diffusion operator defines a spectral geometry in the joint space of spatial wavenumber an...

Peng-Fei Zhu, J. Lecompagnon, P. Hirsch et al. · 1 citation

#machine learning Preprint Sep 2026

Can Deep Learning Achieve Cross-Physics Mapping?

These findings demonstrate that deep learning can establish useful mappings between distinct physical modalities on a shared latent manifold, while the achievable accuracy remains fundamentally constrained by the direction-dependent information content of the governing physics.

Peng-Fei Zhu, J. Lecompagnon, Mathias Ziegler · 0 citations