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20192026
most citedYour diffusion model secretly knows the dimension of the data manifold

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math.NA2026

Elucidating the Conformal Structure of the Brinkman Penalisation Method for Geometry-Adapted, Structure-Preserving Operator Learning of Hamiltonian PDEs

Teo Deveney, Baige Xu, Takaharu Yaguchi

The Brinkman penalisation method embeds boundary-value problems on complex domains into a simple computational box by modeling the solid region as a strongly dissipative medium, av…