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Beyond Arbitrary Geometry: Topology Generalization In neural PDE Operators

This story is from 2026-09-09. It is preserved in the archive; the latest stories are on the live feed.

arXiv:2609.05860v1 Announce Type: new Abstract: Neural operators that accept arbitrary meshes are often treated as geometry-general, but unseen domain topology changes both the invariant and decaying subspaces of a PDE operator. We use Hodge heat flow as a controlled lens on this distinction and in…

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  1. 2026-09-09 04:00 · arXiv cs.LG
    Beyond Arbitrary Geometry: Topology Generalization In neural PDE Operators

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