OTNO
Optimal transport to map each shape onto a neural operator's latent grid
Paper title Geometric Operator Learning with Optimal Transport
Paper arXiv 2507.20065PDF
Treats each mesh as a density of points and solves an optimal transport problem that maps it onto a uniform density on a fixed latent grid, so every shape gets its own deformation. For a car, the surface mesh is mapped onto a 2D latent surface, a Fourier neural operator works there, and the result is mapped back to the mesh.
- Published
- JMLR
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